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MATHS Assertion (A) & Reason (B) MCQ

Data Handling · Gujarat Board (GSEB) STD 8 (GSEB - English Medium). 4 questions.

Questions

Assertion (A) & Reason (B) MCQ

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4 questions · timed · auto-graded

MCQ 11 Mark
Assertion (A): In a histogram, the bases of the rectangles depict class intervals and their heights depict the frequencies.
Reason (R): The width of the rectangles depicts the class size.
  • A
    Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
  • ✓
    Both Assertion (A) and Reason (R) are true and Reason (R) is not the correct explanation of Assertion (A).
  • C
    Assertion (A) is true but Reason (R) is false.
  • D
    Assertion (A) is false but Reason (R) is true.
Answer
Correct option: B.
Both Assertion (A) and Reason (R) are true and Reason (R) is not the correct explanation of Assertion (A).
B
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MCQ 21 Mark
Assertion (A): In the data 3, 0, 1, 1, 1, 2, 0, 0, 2, 3, 2, 3, 1, 2, 0, 3, all four observations have the same frequency.
Reason (R): A data in which all the observations have different frequencies is called a variable data.
  • A
    Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
  • B
    Both Assertion (A) and Reason (R) are true and Reason (R) is not the correct explanation of Assertion (A).
  • C
    Assertion (A) is true but Reason (R) is false.
  • D
    Assertion (A) is false but Reason (R) is true.
Answer
C :
ObservationFrequency
04
14
24
34
So, A is true.
But clearly, R is false.
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MCQ 31 Mark
Assertion (A): The class mark of the interval 40-45 is 42.5.
Reason (R): The midvalue of a class is called its class mark.
  • A
    Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
  • B
    Both Assertion (A) and Reason (R) are true and Reason (R) is not the correct explanation of Assertion (A).
  • C
    Assertion (A) is true but Reason (R) is false.
  • D
    Assertion (A) is false but Reason (R) is true.
Answer
A : Class mark $=\frac{\text { upper limit }+ \text { lower limit }}{2}=\frac{45+40}{2}=42.5$.
So, A is true.
Clearly, R is true and explains A .
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MCQ 41 Mark
Assertion (A): The range of the data 14, 23, 56, 8, 32, 47, 28 is 48.
Reason (R): The difference between the highest and lowest values of the observations in a data is called the range of the data.
  • A
    Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
  • B
    Both Assertion (A) and Reason (R) are true and Reason (R) is not the correct explanation of Assertion (A).
  • C
    Assertion (A) is true but Reason (R) is false.
  • D
    Assertion (A) is false but Reason (R) is true.
Answer
A: Range $=(56-8)=48$. So, $A$ is true.
Clearly, R is true and explains A.
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Assertion (A) & Reason (B) MCQ - MATHS STD 8 Questions - Vidyadip