MATHS Assertion (A) & Reason (B) MCQ

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.

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.

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

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.

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

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.

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.

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.

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

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.

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).

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.

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.

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.

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.

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.

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.

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.

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)

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.

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

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.

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(–).

1. If both Assertion and Reason are correct and the Reason is a correct explanation of the Assertion.
2. If both Assertion and Reason are correct but Reason is not a correct explanation of the Assertion.
3. If the Assertion is correct but Reason is incorrect.
4. If both the Assertion and Reason are incorrect.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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 ]

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.

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.

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.

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.

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.

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.

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.

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.

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.

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|

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.