In a class, 60% students pass in English and 70% in Mathematics. 20% fail in both. The percentage that pass in at least one subject is: MCQ with Answer and Explanation

In a class, 60% students pass in English and 70% in Mathematics. 20% fail in both. The percentage that pass in at least one subject is:
A. 90%
B. 80%
C. 50%
D. 60%
Answer: Option B
Solution (By JKSSB Mock Tests)
Pass in at least one = 100% - fail in both = 100% - 20% = 80%.

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Practice More Statistics Questions

Question #1
If two events are exhaustive, then:
A. A and B are independent
B. P(A∩B) = 0
C. P(A) = P(B)
D. P(A∪B) = 1

Correct Answer: Option D


Explanation:
Exhaustive events cover the entire sample space.

This question belongs to: Accountancy and Statistics Statistics
Question #2
If P(A)=0.2 and P(B)=0.3, the minimum possible value of P(A∪B) is:
A. 0.1
B. 0.3
C. 0.5
D. 0.2

Correct Answer: Option B


Explanation:
Minimum occurs when one event is subset of the other; if B⊂A, then P(A∪B)=P(A)=0.2. But A cannot be larger than B? Actually min union is max(P(A),P(B)) = 0.3.

This question belongs to: Accountancy and Statistics Statistics
Question #3
Which graphical representation is most appropriate for displaying a cumulative frequency distribution?
A. Pie chart
B. Bar diagram
C. Histogram
D. Ogive (cumulative frequency curve)

Correct Answer: Option D


Explanation:
An ogive plots cumulative frequencies against class boundaries, providing a visual representation of cumulative distribution and enabling estimation of medians and percentiles.

This question belongs to: Accountancy and Statistics Statistics