Questions

Assertion (A) & Reason (B) MCQ

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60 questions · auto-graded multiple-choice test.

MCQ 11 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason $(s)(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: $2, 4, 6$ here median is the $4$
Reason: $2, 4, 6, 8$ here median is the $5$
  • A
    Both Assertion and reason are correct and reason is correct explanation for Assertion.
  • Both Assertion and reason are correct but reason is not correct explanation for Assertion.
  • C
    Assertion is correct but reason is false.
  • D
    Both Assertions and reason are false.
Answer
Correct option: B.
Both Assertion and reason are correct but reason is not correct explanation for Assertion.
Both Assertion and reason are correct but reason is not correct explanation for Assertion.
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MCQ 21 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following: Assertion: The mode of below data is:
Class interval
$3-6$
$6-9$
$9-12$
$12-15$
$15-18$
$18-21$
$21-24$
Frequency
$2$
$5$
$10$
$23$
$21$
$12$
$3$
Reason: The value of the variable which occurs minimum often is the mode.
  • A
    Both Assertion and reason are correct and reason is correct explanation for Assertion.
  • B
    Both Assertion and reason are correct but reason is not correct explanation for Assertion.
  • Assertion is correct but reason is false.
  • D
    Both Assertions and reason are false.
Answer
Correct option: C.
Assertion is correct but reason is false.
Assertion is correct but reason is false.
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MCQ 31 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: The median of the following observation $0, 1, 2, 3, x , x + 2, 8, 9, 11, 12$ arranged in ascending order is $63,$ then the value of $x$ is $62.$
Reason: Median of n even observations is $\frac{\big(\frac{\text{n}}{2}\big)^{\text{th}}\text{term}+\Big(\frac{\text{n}}{2}+1\Big)^{\text{th}}\text{term}}{2}$
  • Both assertion and reason are true and reason is the correct enatixplaon of assertion.
  • B
    Both assertion and reason are true but reason is not the correct explanation of assertion.
  • C
    Assertion is true but reason is false.
  • D
    Assertion is false but reason is true.
Answer
Correct option: A.
Both assertion and reason are true and reason is the correct enatixplaon of assertion.
Number of terms $= 10($even$)$
$\text{median}=\frac{\big(\frac{\text{n}}{2}\big)^{\text{th}}\text{term}+\Big(\frac{\text{n}}{2}+1\Big)^{\text{th}}\text{term}}{2}$
$\frac{5^\text{th}\text{term}+6^\text{th}\text{term}}{2}$
$=\frac{\text{x}+\text{x}+2}{2}=63$
$\text{2}\text{x}+2=126$
$\text{x}=62$
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MCQ 41 Mark
Directions: In the following questions, the Assertions $(A) $and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: $13, 13, 13, 13, 14, 14, 16, 18, 21$ here range is $8$
Reason: $1, 2, 4, 7$ here range is $6$
  • A
    Both Assertion and reason are correct and reason is correct explanation for Assertion.
  • Both Assertion and reason are correct but reason is not correct explanation for Assertion.
  • C
    Assertion is correct but reason is false.
  • D
    Both Assertions and reason are false.
Answer
Correct option: B.
Both Assertion and reason are correct but reason is not correct explanation for Assertion.
Both Assertion and reason are correct but reason is not correct explanation for Assertion.
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MCQ 51 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: The median and mode of a frequency distribution are $150$ and $154$ respectively, then its mean is $148.$
Reason: Mean, median and mode of a frequency distribution are related as: mode $= (3$ median$) – ($2 mean$).$
  • Both Assertion and reason are correct and reason is correct explanation for Assertion.
  • B
    Both Assertion and reason are correct but reason is not correct explanation for Assertion.
  • C
    Assertion is correct but reason is false.
  • D
    Both Assertions and reason are false.
Answer
Correct option: A.
Both Assertion and reason are correct and reason is correct explanation for Assertion.
Both A​​​​​​​ssertion and reason are correct and reason is correct explanation for Assertion.
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MCQ 61 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: The median of $83, 37, 70, 29, 45, 63, 41, 70, 34, 54,$ is $49.5.$
Reason: The median of n odd number of observations is $\Big(\frac{\text{n}+1}{2}\Big)^{\text{th}}$ term.
  • A
    Both assertion and reason are true and reason is the correct enatixplaon of assertion.
  • Both assertion and reason are true but reason is not the correct explanation of assertion.
  • C
    Assertion is true but reason is false.
  • D
    Assertion is false but reason is true.
Answer
Correct option: B.
Both assertion and reason are true but reason is not the correct explanation of assertion.

$29, 34, 37, 41, 45, 54, 63, 70, 70, 83$
Number of terms $= 10($even$)$
For even number of observation we have
$\text{Median}=\frac{\big(\frac{\text{n}}{2}\big)^\text{th}\text{term}+\big(\frac{\text{n}}{2}+1\big)^\text{th}\text{term}}{2}$
$=\frac{5^\text{th}\text{term}+6^\text{th}\text{term}}{2}$
$=\frac{45+54}{2}=\frac{99}{2}=49.5$

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MCQ 71 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: Mode of given data $110, 120, 130, 120, 110, 140, 130, 120, 140, 120$ is $120.$
Reason: The observation with maximum frequency is called mode.
  • Both Assertion and reason are correct and reason is correct explanation for Assertion.
  • B
    Both Assertion and reason are correct but reason is not correct explanation for Assertion.
  • C
    Assertion is correct but reason is false.
  • D
    Both Assertions and reason are false.
Answer
Correct option: A.
Both Assertion and reason are correct and reason is correct explanation for Assertion.
Both Assertion and reason are correct and reason is correct explanation for Assertion.
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MCQ 81 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: Mean is the number of observations is the sum of the values of all the observations divided by the total number of observations.
Reason: It is denoted by the symbol x
  • A
    Both Assertion and reason are correct and reason is correct explanation for Assertion.
  • Both Assertion and reason are correct but reason is not correct explanation for Assertion.
  • C
    Assertion is correct but reason is false.
  • D
    Both Assertions and reason are false.
Answer
Correct option: B.
Both Assertion and reason are correct but reason is not correct explanation for Assertion.
Both Assertion and reason are correct but reason is not correct explanation for Assertion.
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MCQ 91 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: The pre modal class and the post modal class rectangles have the same height. If the modal class is $40-60,$ then the mode is $50.$
Reason: Mode $=\frac{\text{L}+\text{(fm}-\text{f}_1)}{\text{(2fm}-\text{f}_1-\text{f}_2)}\times\text{h}$
  • Both Assertion and reason are correct and reason is correct explanation for Assertion.
  • B
    Both Assertion and reason are correct but reason is not correct explanation for Assertion.
  • C
    Assertion is correct but reason is false.
  • D
    Both Assertions and reason are false.
Answer
Correct option: A.
Both Assertion and reason are correct and reason is correct explanation for Assertion.
Both Assertion and reason are correct and reason is correct explanation for Assertion.
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MCQ 101 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: The median of the following observation $0, 1, 2, 3, x , x + 2, 8, 9, 11, 12$ arranged in ascending order is $63,$ then the value of $x$ is $62.$
Reason: Median of $n$ even observations is $\big(\frac{\text{(n)}}{2}\big)^\text{th}\text{term} + \big(\frac{\frac{\text{n}}{2+1}^\text{th}\text{term}}{2}\big)$
  • Both Assertion and reason are correct and reason is correct explanation for Assertion.
  • B
    Both Assertion and reason are correct but reason is not correct explanation for Assertion.
  • C
    Assertion is correct but reason is false.
  • D
    Both Assertions and reason are false.
Answer
Correct option: A.
Both Assertion and reason are correct and reason is correct explanation for Assertion.
Both Assertion and reason are correct and reason is correct explanation for Assertion.
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MCQ 111 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: The mean of $x, y, z$ is y then $x + z = 2y$
Reason: $\frac{\text{(x+y+z)}}{3}=\text{y},$ hence $x + y + z = 3y. x + z = 2y$
  • Both Assertion and reason are correct and reason is correct explanation for Assertion.
  • B
    Both Assertion and reason are correct but reason is not correct explanation for Assertion.
  • C
    Assertion is correct but reason is false.
  • D
    Both Assertions and reason are false.
Answer
Correct option: A.
Both Assertion and reason are correct and reason is correct explanation for Assertion.
Both Assertion and reason are correct and reason is correct explanation for Assertion.
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MCQ 121 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason $(s)(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: If the mean of first $n$ natural numbers is $\frac{3\text{n}}{5}$ then the value of $n$ is $5$
Reason: Sum of natural numbers$=\frac{\text{n}\text{(n+1)}}{2}$
  • Both Assertion and reason are correct and reason is correct explanation for Assertion.
  • B
    Both Assertion and reason are correct but reason is not correct explanation for Assertion.
  • C
    Assertion is correct but reason is false.
  • D
    Both Assertions and reason are false.
Answer
Correct option: A.
Both Assertion and reason are correct and reason is correct explanation for Assertion.
Both Assertion and reason are correct and reason is correct explanation for Assertion.
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MCQ 131 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: Mean of n observations $=\frac{\text{Number of observations}}{\text{Sum of observations}}$
Reason: If the mean of five observations $x, x + 2, x + 4, x + 6, x + 8$ is $11,$ then mean of last three observations is $8.$
  • A
    Both Assertion and reason are correct and reason is correct explanation for Assertion.
  • B
    Both Assertion and reason are correct but reason is not correct explanation for Assertion.
  • Assertion is correct but reason is false.
  • D
    Both Assertions and reason are false.
Answer
Correct option: C.
Assertion is correct but reason is false.
Assertion is correct but reason is false.
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MCQ 141 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: The mode of above data is:
Class interval $3-6$ $6-9$ $9-12$ $12-15$ 15-18 $18-21$
Frequency $2$ $5$ $21$ $23$ $10$ $12$
Reason: The value of variable which occur most often is mode.
  • A
    Both Assertion and reason are correct and reason is correct explanation for Assertion.
  • Both Assertion and reason are correct but reason is not correct explanation for Assertion.
  • C
    Assertion is correct but reason is false.
  • D
    Both Assertions and reason are false.
Answer
Correct option: B.
Both Assertion and reason are correct but reason is not correct explanation for Assertion.
Both Assertion and reason are correct but reason is not correct explanation for Assertion.
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MCQ 151 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: Mean may or may not be the appropriate measure of central tendency.
Reason: If the number of observations are even then median is $\big(\frac{\text{n}+1}{2}\big)^\text{th}$ term.
  • A
    Both assertion and reason are true and reason is the correct enatixplaon of assertion.
  • B
    Both assertion and reason are true but reason is not the correct explanation of assertion.
  • Assertion is true but reason is false.
  • D
    Assertion is false but reason is true.
Answer
Correct option: C.
Assertion is true but reason is false.
Assertion is true but reason is false.
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MCQ 161 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: The mean is one of the numbers in data.
Reason: The mean is one of the numbers in data.
  • Both Assertion and reason are correct and reason is correct explanation for Assertion.
  • B
    Both Assertion and reason are correct but reason is not correct explanation for Assertion.
  • C
    Assertion is correct but reason is false.
  • D
    Both Assertions and reason are false.
Answer
Correct option: A.
Both Assertion and reason are correct and reason is correct explanation for Assertion.
Both Assertions and reason are false.
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MCQ 171 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: Median= $\big(\frac{\text{(n+1)}}{2}\big)^\text{th}$ value if $n$ is odd.
Reason: If the number of runs scored by $11$ players of a cricket team of India are $5, 19, 42, 11, 50, 30, 21, 0, 52, 36, 27$ then median is $30$
  • A
    Both Assertion and reason are correct and reason is correct explanation for Assertion.
  • B
    Both Assertion and reason are correct but reason is not correct explanation for Assertion.
  • Assertion is correct but reason is false.
  • D
    Both Assertions and reason are false.
Answer
Correct option: C.
Assertion is correct but reason is false.
Assertion is correct but reason is false.
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MCQ 181 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: The median of the data $13, 15, 16, 17, 19, 20$ is $\frac{30}{2}$
Reason: Median $=\frac{(16+17)}{2}=\frac{33}{2}$
  • Both Assertion and reason are correct and reason is correct explanation for Assertion.
  • B
    Both Assertion and reason are correct but reason is not correct explanation for Assertion.
  • C
    Assertion is correct but reason is false.
  • D
    Both Assertions and reason are false.
Answer
Correct option: A.
Both Assertion and reason are correct and reason is correct explanation for Assertion.
Both Assertion and reason are correct and reason is correct explanation for Assertion.
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MCQ 191 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correctalternative from the following:
Assertion: If the value of mode and mean is $60$ and $66$ then the value of median is $64.$
Reason: Median $= ($mode $+\ 2$ mean$)$
  • A
    Both Assertion and reason are correct and reason is correct explanation for Assertion.
  • B
    Both Assertion and reason are correct but reason is not correct explanation for Assertion.
  • Assertion is correct but reason is false.
  • D
    Both Assertions and reason are false.
Answer
Correct option: C.
Assertion is correct but reason is false.
Assertion is correct but reason is false.
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MCQ 201 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: The Mode of data set $A = \{2, 2, 2, 3, 4, 4, 5, 6, 5, 4, 7, 5, 8\}$ is the example of trimodal set.
Reason: Because all the three values are repeating thrice in the given set. Hence, it is a Trimodal data set.
  • Both Assertion and reason are correct and reason is correct explanation for Assertion.
  • B
    Both Assertion and reason are correct but reason is not correct explanation for Assertion.
  • C
    Assertion is correct but reason is false.
  • D
    Both Assertions and reason are false.
Answer
Correct option: A.
Both Assertion and reason are correct and reason is correct explanation for Assertion.
Both Assertion and reason are correct and reason is correct explanation for Assertion.
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MCQ 211 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: The class width for the grouped frequency distribution of the class intervals $1-20, 21-40, 41-60,$ is $20.$
Reason: Class width is the same as the class size.
  • Both Assertion and reason are correct and reason is correct explanation for Assertion.
  • B
    Both Assertion and reason are correct but reason is not correct explanation for Assertion.
  • C
    Assertion is correct but reason is false.
  • D
    Both Assertions and reason are false.
Answer
Correct option: A.
Both Assertion and reason are correct and reason is correct explanation for Assertion.
Both Assertion and reason are correct and reason is correct explanation for Assertion.
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MCQ 221 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: Mean may or may not be the appropriate measure of central tendency.
Reason: If the number of observations are even then median is $\Big(\frac{(\text{n+1)}}{2}\Big)$ term.
  • Both Assertion and reason are correct and reason is correct explanation for Assertion.
  • B
    Both Assertion and reason are correct but reason is not correct explanation for Assertion.
  • C
    Assertion is correct but reason is false.
  • D
    Both Assertions and reason are false.
Answer
Correct option: A.
Both Assertion and reason are correct and reason is correct explanation for Assertion.
Assertion is correct but reason is false.
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MCQ 231 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: The ratio of the sum of observations and the total number of observations is called mean
Reason: The mean of $x + 2, x + 3, x + 4$ and $x - 2$ is $\frac{(4\text{x}+7)}{4}$
  • Both Assertion and reason are correct and reason is correct explanation for Assertion.
  • B
    Both Assertion and reason are correct but reason is not correct explanation for Assertion.
  • C
    Assertion is correct but reason is false.
  • D
    Both Assertions and reason are false.
Answer
Correct option: A.
Both Assertion and reason are correct and reason is correct explanation for Assertion.
Both Assertion and reason are correct and reason is correct explanation for Assertion.
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MCQ 241 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: If the median of the given data $26, 29, 42, 53, x, x + 2, 70, 75, 82, 93,$ is $65$ then the value of $x$ is $64.$
Reason: When the number of observations $(n)$ is odd the median is the value of the $\big(\frac{\text{n}+1}{2}\big)^\text{th}$ observation.
  • A
    Both assertion and reason are true and reason is the correct enatixplaon of assertion.
  • Both assertion and reason are true but reason is not the correct explanation of assertion.
  • C
    Assertion is true but reason is false.
  • D
    Assertion is false but reason is true.
Answer
Correct option: B.
Both assertion and reason are true but reason is not the correct explanation of assertion.

Given, number of observation is $10 ($even$)$
Hence, Median $=\frac{\text{x}+(\text{x}+2)}{2}$
$65=\frac{2\text{x}+2}{2}=\text{x}+1$
$65=\text{x}+1$
$\text{x}=64$

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MCQ 251 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: The class mark of the class interval $90 - 120$ is $105.$
Reason: Class mark $=\frac{(\text{upper limit + lower limit)}}{2}$
  • Both Assertion and reason are correct and reason is correct explanation for Assertion.
  • B
    Both Assertion and reason are correct but reason is not correct explanation for Assertion.
  • C
    Assertion is correct but reason is false.
  • D
    Both Assertions and reason are false.
Answer
Correct option: A.
Both Assertion and reason are correct and reason is correct explanation for Assertion.
Both Assertion and reason are correct and reason is correct explanation for Assertion.
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MCQ 261 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: Median is the middle observation of an ordered set.
Reason: $1, 2, 4, 5, 5, 6, 8$ here middle observation is $5,$ so the median is $5$
  • Both Assertion and reason are correct and reason is correct explanation for Assertion.
  • B
    Both Assertion and reason are correct but reason is not correct explanation for Assertion.
  • C
    Assertion is correct but reason is false.
  • D
    Both Assertions and reason are false.
Answer
Correct option: A.
Both Assertion and reason are correct and reason is correct explanation for Assertion.
Both Assertion and reason are correct and reason is correct explanation for Assertion.
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MCQ 271 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: Sucrose is called an invert sugar.
Reason: On hydrolysis, sucrose bring the change in the sign of rotation from dextro $(+)$ to laevo$(–).$
  • If both Assertion and Reason are correct and the Reason is a correct explanation of the Assertion.
  • B
    If both Assertion and Reason are correct but Reason is not a correct explanation of the Assertion.
  • C
    If the Assertion is correct but Reason is incorrect.
  • D
    If both the Assertion and Reason are incorrect.
Answer
Correct option: A.
If both Assertion and Reason are correct and the Reason is a correct explanation of the Assertion.
If both Assertion and Reason are correct and the Reason is a correct explanation of the Assertion.
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MCQ 281 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: The median of $83, 37, 70, 29, 45, 63, 41, 70, 34, 54,$ is $49.5.$
Reason: The median of n odd number of observations is $\big(\frac{\text{(n+1)}}{2}\big)^\text{th}$term.
  • A
    Both Assertion and reason are correct and reason is correct explanation for Assertion.
  • Both Assertion and reason are correct but reason is not correct explanation for Assertion.
  • C
    Assertion is correct but reason is false.
  • D
    Both Assertions and reason are false.
Answer
Correct option: B.
Both Assertion and reason are correct but reason is not correct explanation for Assertion.
Both Assertion and reason are correct but reason is not correct explanation for Assertion.
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MCQ 291 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: Mean of first ten odd natural number is $10.$
Reason: Mean of $n$ number $=\frac{\text{ sum of number}}{\text{n}}$
  • Both Assertion and reason are correct and reason is correct explanation for Assertion.
  • B
    Both Assertion and reason are correct but reason is not correct explanation for Assertion.
  • C
    Assertion is correct but reason is false.
  • D
    Both Assertions and reason are false.
Answer
Correct option: A.
Both Assertion and reason are correct and reason is correct explanation for Assertion.
Both Assertion and reason are correct and reason is correct explanation for Assertion.
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MCQ 301 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: If the mean of frequency distribution is $7.5$ and $\sum\text{f}_\text{i}\text{x}_\text{i}=120+3\text{k},\sum\text{f}_\text{i}=30$ then $k$ is equal to $35.$
Reason: $X$ mean $=\frac{\sum\text{f}_\text{i}\text{x}_\text{i}}{\sum\text{f}_\text{i}}$
  • Both Assertion and reason are correct and reason is correct explanation for Assertion.
  • B
    Both Assertion and reason are correct but reason is not correct explanation for Assertion.
  • C
    Assertion is correct but reason is false.
  • D
    Both Assertions and reason are false.
Answer
Correct option: A.
Both Assertion and reason are correct and reason is correct explanation for Assertion.
Both Assertion and reason are correct and reason is correct explanation for Assertion.
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MCQ 311 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: $15$ is the mode of $4, 4, 4, 9, 15, 15, 15, 27, 37, 48$ data set.
Reason: Mode is defined as the value that has a higher frequency in a given set of values.
  • Both Assertion and reason are correct and reason is correct explanation for Assertion.
  • B
    Both Assertion and reason are correct but reason is not correct explanation for Assertion.
  • C
    Assertion is correct but reason is false.
  • D
    Both Assertions and reason are false.
Answer
Correct option: A.
Both Assertion and reason are correct and reason is correct explanation for Assertion.
Both Assertion and reason are correct and reason is correct explanation for Assertion.
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MCQ 321 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: Class mark is defined as the mean of the lower limit and upper limit.
Reason: The mid point of a class interval is called the lower limit.
  • A
    Both Assertion and reason are correct and reason is correct explanation for Assertion.
  • B
    Both Assertion and reason are correct but reason is not correct explanation for Assertion.
  • Assertion is correct but reason is false.
  • D
    Both Assertions and reason are false.
Answer
Correct option: C.
Assertion is correct but reason is false.
Assertion is correct but reason is false.
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MCQ 331 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason $(s)(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: The range of the first $6$ multiples of $6$ is $9.$
Reason: Range $=$ Maximum value $-$ Minimum value.
  • A
    Both assertion and reason are true and reason is the correct enatixplaon of assertion.
  • B
    Both assertion and reason are true but reason is not the correct explanation of assertion.
  • C
    Assertion is true but reason is false.
  • Assertion is false but reason is true.
Answer
Correct option: D.
Assertion is false but reason is true.
First $6$ multiples of $6 = 6, 12, 18, 24, 30, 36$
Range $= 36 - 6 = 30$
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MCQ 341 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: Class mark of a class is obtained by using$\frac{1}{2}$(upper limit - lower limit)
Reason: Class mark is the mean of the upper limit and lower limit of the class.
  • Both Assertion and reason are correct and reason is correct explanation for Assertion.
  • B
    Both Assertion and reason are correct but reason is not correct explanation for Assertion.
  • C
    Assertion is correct but reason is false.
  • D
    Both Assertions and reason are false.
Answer
Correct option: A.
Both Assertion and reason are correct and reason is correct explanation for Assertion.
Both Assertion and reason are correct and reason is correct explanation for Assertion.
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MCQ 351 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: Range $=$ Maximum value $–$ Minimum value.
Reason: The range of the first $6$ multiples of $6$ is $9.$
  • A
    Both Assertion and reason are correct and reason is correct explanation for Assertion.
  • B
    Both Assertion and reason are correct but reason is not correct explanation for Assertion.
  • Assertion is correct but reason is false.
  • D
    Both Assertions and reason are false.
Answer
Correct option: C.
Assertion is correct but reason is false.
Assertion is correct but reason is false.
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MCQ 361 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: The mean of the data: $4, 10, 5, 9, 12$ is $8.$
Reason: Mean $=\frac{(4+10+5+9+12)}{5}=\frac{40}{5}=8$
  • Both Assertion and reason are correct and reason is correct explanation for Assertion.
  • B
    Both Assertion and reason are correct but reason is not correct explanation for Assertion.
  • C
    Assertion is correct but reason is false.
  • D
    Both Assertions and reason are false.
Answer
Correct option: A.
Both Assertion and reason are correct and reason is correct explanation for Assertion.
Both Assertion and reason are correct and reason is correct explanation for Assertion.
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MCQ 371 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: The mode of the given data: $4, 6, 5, 9, 3, 2, 7, 7, 6, 5, 4, 9, 10, 10, 3, 4, 7, 6, 9, 9$ is $6.$
Reason: The value which appears very frequently in a data is called median.
  • A
    Both Assertion and reason are correct and reason is correct explanation for Assertion.
  • B
    Both Assertion and reason are correct but reason is not correct explanation for Assertion.
  • C
    Assertion is correct but reason is false.
  • Both Assertions and reason are false.
Answer
Correct option: D.
Both Assertions and reason are false.
Both Assertions and reason are false.
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MCQ 381 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: Set of data with one Mode is known as a Unimodal Mode.
Reason: The Mode of data set $A = \{14, 15, 16, 17, 15, 18, 15, 19\}$ is $15$ as there is only one value repeating itself. Hence, it is a Unimodal data set.
  • Both Assertion and reason are correct and reason is correct explanation for Assertion.
  • B
    Both Assertion and reason are correct but reason is not correct explanation for Assertion.
  • C
    Assertion is correct but reason is false.
  • D
    Both Assertions and reason are false.
Answer
Correct option: A.
Both Assertion and reason are correct and reason is correct explanation for Assertion.
Both Assertion and reason are correct and reason is correct explanation for Assertion.
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MCQ 391 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: If the difference between the mode and median is $2,$ then the difference between the median and mean is $1$
Reason: Mean $-$ Mode $= 3 [$ Mean $-$ Median $]$
  • Both Assertion and reason are correct and reason is correct explanation for Assertion.
  • B
    Both Assertion and reason are correct but reason is not correct explanation for Assertion.
  • C
    Assertion is correct but reason is false.
  • D
    Both Assertions and reason are false.
Answer
Correct option: A.
Both Assertion and reason are correct and reason is correct explanation for Assertion.
Both Assertion and reason are correct and reason is correct explanation for Assertion.
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MCQ 401 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: A set of data with two Modes is known as a Bimodal Mode.
Reason: The Mode of data set $A = \{8, 13, 13, 14, 15, 17, 17, 19\}$ is the example of bimodal mode.
  • Both Assertion and reason are correct and reason is correct explanation for Assertion.
  • B
    Both Assertion and reason are correct but reason is not correct explanation for Assertion.
  • C
    Assertion is correct but reason is false.
  • D
    Both Assertions and reason are false.
Answer
Correct option: A.
Both Assertion and reason are correct and reason is correct explanation for Assertion.
Both Assertion and reason are correct and reason is correct explanation for Assertion.
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MCQ 411 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: The following is the data of wages per day: $8, 4, 7, 5, 8, 8, 5, 7, 9, 5, 7, 9, 10, 8,$ then the mode of the data is $8.$
Reason: Mode $=$ Highest observation $–$ lowest observation.
  • A
    Both Assertion and reason are correct and reason is correct explanation for Assertion.
  • B
    Both Assertion and reason are correct but reason is not correct explanation for Assertion.
  • Assertion is correct but reason is false.
  • D
    Both Assertions and reason are false.
Answer
Correct option: C.
Assertion is correct but reason is false.
Assertion is correct but reason is false.
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MCQ 421 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: The class intervals $10-20, 20-30, 20$ is included in which interval $20-30.$
Reason: The number is always included in the lower limit of the class interval.
  • Both Assertion and reason are correct and reason is correct explanation for Assertion.
  • B
    Both Assertion and reason are correct but reason is not correct explanation for Assertion.
  • C
    Assertion is correct but reason is false.
  • D
    Both Assertions and reason are false.
Answer
Correct option: A.
Both Assertion and reason are correct and reason is correct explanation for Assertion.
Both Assertion and reason are correct and reason is correct explanation for Assertion.
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MCQ 431 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: If the mean of five observations $x, x + 2, x + 4, x + 6, x + 8$ is $11,$ then mean of last three observations is $8.$
Reason: Mean of n observations $\frac{\text{Sum of observations}}{\text{Number of observations}}.$
  • A
    Both assertion and reason are true and reason is the correct enatixplaon of assertion.
  • B
    Both assertion and reason are true but reason is not the correct explanation of assertion.
  • C
    Assertion is true but reason is false.
  • Assertion is false but reason is true.
Answer
Correct option: D.
Assertion is false but reason is true.
$\text{Mean}=\frac{\text{Sum of observations}}{\text{Number of observations}}$
$11=\frac{\text{x}+\text{x}+2+\text{x}+4\text{x}+6\text{x}+8}{5}$
$55=5\text{x}+20$
$5\text{x}=35$
$\Rightarrow\text{x}=7$
Mean of last three observations
$\frac{11+13+15}{3}=\frac{39}{3}=13$
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MCQ 441 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: If the median of the given data $26, 29, 42, 53, x, x + 2, 70, 75, 82, 93,$ is $65$ then the value of $x$ is $64.$
Reason: When the number of observations (n) is odd the median is the value of the$\Big(\frac{(\text{n}+1)}{2}\Big)$ observation.
  • A
    Both Assertion and reason are correct and reason is correct explanation for Assertion.
  • Both Assertion and reason are correct but reason is not correct explanation for Assertion.
  • C
    Assertion is correct but reason is false.
  • D
    Both Assertions and reason are false.
Answer
Correct option: B.
Both Assertion and reason are correct but reason is not correct explanation for Assertion.
Both Assertion and reason are correct but reason is not correct explanation for Assertion.
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MCQ 451 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: Median of the given data $34, 31, 42, 43, 46, 25, 39, 45, 32,$ is $39.$
Reason: When the number of observations $(n)$ is even arrange the numbers in the ascending order then the median is the mean of the and $|n + 1|$
  • A
    Both Assertion and reason are correct and reason is correct explanation for Assertion.
  • Both Assertion and reason are correct but reason is not correct explanation for Assertion.
  • C
    Assertion is correct but reason is false.
  • D
    Both Assertions and reason are false.
Answer
Correct option: B.
Both Assertion and reason are correct but reason is not correct explanation for Assertion.
Both Assertion and reason are correct but reason is not correct explanation for Assertion.
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MCQ 461 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason $(s)(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: The following is the data of wages per day: $8, 4, 7, 5, 8, 8, 5, 7, 9, 5, 7, 9, 10, 8,$ then the mode of the data is $8.$
Reason: Mode $=$ Highest observation $-$ lowest observation.
  • A
    Both assertion and reason are true and reason is the correct enatixplaon of assertion.
  • B
    Both assertion and reason are true but reason is not the correct explanation of assertion.
  • Assertion is true but reason is false.
  • D
    Assertion is false but reason is true.
Answer
Correct option: C.
Assertion is true but reason is false.
$8$ is the most frequent value.
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MCQ 471 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: The difference between the maximum and minimum values of a variable is called its range.
Reason: The number of times a variate (observation) occurs in a given data is called range.
  • A
    Both Assertion and reason are correct and reason is correct explanation for Assertion.
  • B
    Both Assertion and reason are correct but reason is not correct explanation for Assertion.
  • Assertion is correct but reason is false.
  • D
    Both Assertions and reason are false.
Answer
Correct option: C.
Assertion is correct but reason is false.
Assertion is correct but reason is false.
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MCQ 481 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: According to statistics more female children are born each year than male children in India.
Reason: In India the death rate of a male child is higher than that of the female child.
  • A
    Both Assertion and reason are correct and reason is correct explanation for Assertion.
  • B
    Both Assertion and reason are correct but reason is not correct explanation for Assertion.
  • Assertion is correct but reason is false.
  • D
    Both Assertions and reason are false.
Answer
Correct option: C.
Assertion is correct but reason is false.
Assertion is correct but reason is false.
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MCQ 491 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: The difference between the maximum and minimum values of the given observation is called range.
Reason: The maximum value is $120$ if the range is 38 and the minimum value is $82.$
  • Both Assertion and reason are correct and reason is correct explanation for Assertion.
  • B
    Both Assertion and reason are correct but reason is not correct explanation for Assertion.
  • C
    Assertion is correct but reason is false.
  • D
    Both Assertions and reason are false.
Answer
Correct option: A.
Both Assertion and reason are correct and reason is correct explanation for Assertion.
Both Assertion and reason are correct and reason is correct explanation for Assertion.
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MCQ 501 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: The difference between the maximum and minimum values of a variable is called its range.
Reason: The number of times a variate (observation) occurs in a given data is called range.
  • A
    Both assertion and reason are true and reason is the correct enatixplaon of assertion.
  • B
    Both assertion and reason are true but reason is not the correct explanation of assertion.
  • Assertion is true but reason is false.
  • D
    Assertion is false but reason is true.
Answer
Correct option: C.
Assertion is true but reason is false.
The number of times a variate (observation) occurs in a given data is called frequency of that variate.
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MCQ 511 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: The measures of central tendency lie between the maximum and minimum values of the data.
Reason: The measures of central tendency may not lie between the maximum and minimum values of data.
  • A
    Both Assertion and reason are correct and reason is correct explanation for Assertion.
  • B
    Both Assertion and reason are correct but reason is not correct explanation for Assertion.
  • Assertion is correct but reason is false.
  • D
    Both Assertions and reason are false.
Answer
Correct option: C.
Assertion is correct but reason is false.
Assertion is correct but reason is false.
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MCQ 521 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: The median of the data: $4, 6, 8, 9, 11$ is $8$
Reason: The median of the data: $155, 160, 145, 149, 150, 147, 152, 144, 148$ is $149.$
  • A
    Both Assertion and reason are correct and reason is correct explanation for Assertion.
  • Both Assertion and reason are correct but reason is not correct explanation for Assertion.
  • C
    Assertion is correct but reason is false.
  • D
    Both Assertions and reason are false.
Answer
Correct option: B.
Both Assertion and reason are correct but reason is not correct explanation for Assertion.
Both Assertion and reason are correct but reason is not correct explanation for Assertion.
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MCQ 531 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: The modal value for the following set of data is $16, 12, 14, 16, 18, 26, 16, 20, 16, 11, 12, 16, 15, 20, 24.$
Reason: The modal value for the following set of data are $86, 88, 85, 86, 86, 88, 88, 90, 91, 95.$
  • A
    Both Assertion and reason are correct and reason is correct explanation for Assertion.
  • Both Assertion and reason are correct but reason is not correct explanation for Assertion.
  • C
    Assertion is correct but reason is false.
  • D
    Both Assertions and reason are false.
Answer
Correct option: B.
Both Assertion and reason are correct but reason is not correct explanation for Assertion.
Both Assertion and reason are correct but reason is not correct explanation for Assertion.
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MCQ 541 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: The arithmetic mean of following given frequency distribution table is $13.81$
x $4$ $7$ $10$ $13$ $16$ $19$
f $7$ $10$ $15$ $20$ $25$ $30$
Reason: $\bar{\text{x}}=\frac{\sum\text{f}_\text{i}\text{x}_\text{i}}{\sum\text{f}_\text{i}}$
  • Both Assertion and reason are correct and reason is correct explanation for Assertion.
  • B
    Both Assertion and reason are correct but reason is not correct explanation for Assertion.
  • C
    Assertion is correct but reason is false.
  • D
    Both Assertions and reason are false.
Answer
Correct option: A.
Both Assertion and reason are correct and reason is correct explanation for Assertion.
Both Assertion and reason are correct and reason is correct explanation for Assertion.
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MCQ 551 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: If each data in the observation is increased by $5,$ then the mean is increased by $5.$
Reason: The mean is the average of the given values.
  • Both Assertion and reason are correct and reason is correct explanation for Assertion.
  • B
    Both Assertion and reason are correct but reason is not correct explanation for Assertion.
  • C
    Assertion is correct but reason is false.
  • D
    Both Assertions and reason are false.
Answer
Correct option: A.
Both Assertion and reason are correct and reason is correct explanation for Assertion.
Both Assertion and reason are correct and reason is correct explanation for Assertion.
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MCQ 561 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: Median of the given data $34, 31, 42, 43, 46, 25, 39, 45, 32,$ is $39.$
Reason: When the number of observations $(n)$ is even, the median is the mean of$(\frac{\text{n}}{2})^\text{th}$ and$\big(\frac{\text{n}}{2+1}\big)^\text{th}$ observation.
  • A
    Both Assertion and reason are correct and reason is correct explanation for Assertion.
  • Both Assertion and reason are correct but reason is not correct explanation for Assertion.
  • C
    Assertion is correct but reason is false.
  • D
    Both Assertions and reason are false.
Answer
Correct option: B.
Both Assertion and reason are correct but reason is not correct explanation for Assertion.
Both Assertion and reason are correct but reason is not correct explanation for Assertion.
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MCQ 571 Mark
Directions : In the following questions, the Assertions $(A)$ and Reason $(s) \ (R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: Median of the given data $34, 31, 42, 43, 46, 25, 39, 45, 32,$ is $39.$
Reason : When the number of observations $(n)$ is even, the median is the mean of the $\big(\frac{\text{n}}{2}\big)^\text{th}$ and $\big(\frac{\text{n}}{2}+1\big)^\text{th}$ observations.
  • A
    Both assertion and reason are true and reason is the correct enatixplaon of assertion.
  • Both assertion and reason are true but reason is not the correct explanation of assertion.
  • C
    Assertion is true but reason is false.
  • D
    Assertion is false but reason is true.
Answer
Correct option: B.
Both assertion and reason are true but reason is not the correct explanation of assertion.
Both assertion and reason are true but reason is not the correct explanation of assertion.
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MCQ 581 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: $1, 3, 3, 6, 7, 8, 9$ here the median is $6$
Reason: $1, 2, 3, 4, 6, 8, 9$ here the median is $4$.
  • A
    Both Assertion and reason are correct and reason is correct explanation for Assertion.
  • Both Assertion and reason are correct but reason is not correct explanation for Assertion.
  • C
    Assertion is correct but reason is false.
  • D
    Both Assertions and reason are false.
Answer
Correct option: B.
Both Assertion and reason are correct but reason is not correct explanation for Assertion.
Both Assertion and reason are correct but reason is not correct explanation for Assertion.
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MCQ 591 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: If mean & median of an asymmetrical distribution are $58\ \&\ 61$ respectively, then Mode $= 67.$
Reason: For an asymmetrical distribution Mode $= 3$ Median $− 2$ Mean .
  • Both Assertion and reason are correct and reason is correct explanation for Assertion.
  • B
    Both Assertion and reason are correct but reason is not correct explanation for Assertion.
  • C
    Assertion is correct but reason is false.
  • D
    Both Assertions and reason are false.
Answer
Correct option: A.
Both Assertion and reason are correct and reason is correct explanation for Assertion.
Both Assertion and reason are correct and reason is correct explanation for Assertion.
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MCQ 601 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: The mode and mean is given by $7$ and $8,$ respectively. Then the median is $\frac{22}{5}$
Reason: Mode $= 3$ Median $–\ 5$ Mean.
  • A
    Both Assertion and reason are correct and reason is correct explanation for Assertion.
  • B
    Both Assertion and reason are correct but reason is not correct explanation for Assertion.
  • C
    Assertion is correct but reason is false.
  • Both Assertions and reason are false.
Answer
Correct option: D.
Both Assertions and reason are false.
Both Assertions and reason are false.
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