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MATHS Assertion (A) & Reason (B) MCQ

Statistics · Rajasthan Board (RBSE) STD 9 (Rajasthan - English Medium). 61 questions.

Questions · Page 2 of 2

Assertion (A) & Reason (B) MCQ

Question 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 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.
  1. Both Assertion and reason are correct and reason is correct explanation for Assertion.
  2. Both Assertion and reason are correct but reason is not correct explanation for Assertion.
  3. Assertion is correct but reason is false.
  4. Both Assertions and reason are false.
Answer
  1. Both Assertion and reason are correct but reason is not correct explanation for Assertion.
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Question 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: 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 $\frac{\text{Sum of observations}}{\text{Number of observations}}.$
  1. Both assertion and reason are true and reason is the correct enatixplaon of assertion.
  2. Both assertion and reason are true but reason is not the correct explanation of assertion.
  3. Assertion is true but reason is false.
  4. Assertion is false but reason is true.
Answer
  1. Assertion is false but reason is true.
Solution:
$\text{Mean}=\frac{\text{Sum of observations}}{\text{Number of observations}}$
$11=\frac{\text{x}+\text{x}+2+\text{x}+4\text{x}+6\text{x}+8}{5}$
$55=5\text{x}+20$
$5\text{x}=35$
$\Rightarrow\text{x}=7$ 
Mean of last three observations
$\frac{11+13+15}{3}=\frac{39}{3}=13$
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Question 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 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: $\bar{\text{x}}=\frac{\sum\text{f}_\text{i}\text{x}_\text{i}}{\sum\text{f}_\text{i}}$
  1. Both Assertion and reason are correct and reason is correct explanation for Assertion.
  2. Both Assertion and reason are correct but reason is not correct explanation for Assertion.
  3. Assertion is correct but reason is false.
  4. Both Assertions and reason are false.
Answer
  1. Both Assertion and reason are correct and reason is correct explanation for Assertion.
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Question 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: 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.
  1. Both Assertion and reason are correct and reason is correct explanation for Assertion.
  2. Both Assertion and reason are correct but reason is not correct explanation for Assertion.
  3. Assertion is correct but reason is false.
  4. Both Assertions and reason are false.
Answer
  1. Both Assertion and reason are correct and reason is correct explanation for Assertion.
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Question 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: 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.
  1. Both Assertion and reason are correct and reason is correct explanation for Assertion.
  2. Both Assertion and reason are correct but reason is not correct explanation for Assertion.
  3. Assertion is correct but reason is false.
  4. Both Assertions and reason are false.
Answer
  1. Both Assertion and reason are correct but reason is not correct explanation for Assertion.
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Question 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 the $\big(\frac{\text{n}}{2}\big)^\text{th}$ and $\big(\frac{\text{n}}{2}+1\big)^\text{th}$ observations.
  1. Both assertion and reason are true and reason is the correct enatixplaon of assertion.
  2. Both assertion and reason are true but reason is not the correct explanation of assertion.
  3. Assertion is true but reason is false.
  4. Assertion is false but reason is true.
Answer
  1. Both assertion and reason are true but reason is not the correct explanation of assertion.
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Question 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: 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.
  1. Both Assertion and reason are correct and reason is correct explanation for Assertion.
  2. Both Assertion and reason are correct but reason is not correct explanation for Assertion.
  3. Assertion is correct but reason is false.
  4. Both Assertions and reason are false.
Answer
  1. Both Assertion and reason are correct but reason is not correct explanation for Assertion.
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Question 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: If mean & median of an asymmetrical distribution are  58  & 61respectively, then Mode = 67.
Reason: For an asymmetrical distribution Mode = 3 Median − 2 Mean .
  1. Both Assertion and reason are correct and reason is correct explanation for Assertion.
  2. Both Assertion and reason are correct but reason is not correct explanation for Assertion.
  3. Assertion is correct but reason is false.
  4. Both Assertions and reason are false.
Answer
  1. Both Assertion and reason are correct and reason is correct explanation for Assertion.
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Question 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: The mode and mean is given by 7 and 8, respectively. Then the median is $\frac{22}{5}$
Reason: Mode = 3 Median – 5 Mean.
  1. Both Assertion and reason are correct and reason is correct explanation for Assertion.
  2. Both Assertion and reason are correct but reason is not correct explanation for Assertion.
  3. Assertion is correct but reason is false.
  4. Both Assertions and reason are false.
Answer
  1. Both Assertions and reason are false.
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Question 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: 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.
  1. Both Assertion and reason are correct and reason is correct explanation for Assertion.
  2. Both Assertion and reason are correct but reason is not correct explanation for Assertion.
  3. Assertion is correct but reason is false.
  4. Both Assertions and reason are false.
Answer
  1. Assertion is correct but reason is false.
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Question 611 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 the given data 110, 120, 130, 120, 110, 140, 130, 120, 140, 120, is 120.
Reason: The observation that occurs most frequently, i.e., the observation with maximum frequency is called mode.
  1. Both assertion and reason are true and reason is the correct enatixplaon of assertion.
  2. Both assertion and reason are true but reason is not the correct explanation of assertion.
  3. Assertion is true but reason is false.
  4. Assertion is false but reason is true.
Answer
  1. Both assertion and reason are true and reason is the correct enatixplaon of assertion.
Solution:
Since the value 120 occurs maximum number of times.
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