The geometric mean of two numbers a and b is 6, and their arithmetic mean is 10. The numbers are: MCQ with Answer and Explanation

The geometric mean of two numbers a and b is 6, and their arithmetic mean is 10. The numbers are:
A. 4 and 16
B. 3 and 17
C. 8 and 12
D. 2 and 18
Answer: Option D
Solution (By JKSSB Mock Tests)
a + b = 20 and ab = 36. Solving gives 2 and 18 (2 + 18 = 20, 2 × 18 = 36).

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Practice More Statistics Questions

Question #1
The arithmetic mean of 5 numbers is 20. If one number is excluded, the mean of the remaining 4 numbers becomes 18. The excluded number is:
A. 22
B. 28
C. 30
D. 20

Correct Answer: Option B


Explanation:
Sum of 5 numbers = 5 × 20 = 100. Sum of 4 numbers = 4 × 18 = 72. Excluded number = 100 - 72 = 28.

This question belongs to: Accountancy and Statistics Statistics
Question #2
Perinatal Mortality Rate includes stillbirths from which gestational age?
A. 28 weeks
B. 24 weeks
C. 32 weeks
D. 20 weeks

Correct Answer: Option A


Explanation:
Per WHO definition, perinatal mortality includes late fetal deaths (stillbirths) from 28 completed weeks of gestation and early neonatal deaths (first 7 days), capturing risks around birth.

This question belongs to: Accountancy and Statistics Statistics
Question #3
Age-specific fertility rate for age group 25-29 is 120 per 1000 women. If there are 15,000 women in this age group, the expected number of births to them is:
A. 1800
B. 1500
C. 2000
D. 1200

Correct Answer: Option A


Explanation:
Births = ASFR × (number of women) / 1000 = 120 × 15000 / 1000 = 1800.

This question belongs to: Accountancy and Statistics Statistics