The geometric mean of a set of 5 positive observations is 6. Four of them are 3, 6, 4, and 9. The fifth observation is: MCQ with Answer and Explanation

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The geometric mean of a set of 5 positive observations is 6. Four of them are 3, 6, 4, and 9. The fifth observation is:

A. 18

B. 10

C. 8

D. 12

Answer: Option D

Solution (By JKSSB Mock Tests)

G.M.^5 = 6^5 = 7776. Product of known four = 3*6*4*9 = 648. Fifth = 7776/648 = 12.

This question belongs to: Accountancy and Statistics Statistics

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Question #1

The CPI is used for:

A. Calculating agricultural output

B. Calculating national income

C. Determining dearness allowance and wage revision

D. Measuring industrial growth

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Correct Answer: Option C

Explanation:
CPI measures changes in the cost of living and is used to adjust wages and allowances.

This question belongs to: Accountancy and Statistics Statistics

Question #2

The combined mean of three groups with means 20, 30, 40 and sizes 10, 15, 25 is:

A. 32

B. 30

C. 35

D. 33

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Correct Answer: Option D

Explanation:
Sum = 200+450+1000=1650, N=50, Mean=33.

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Question #3

The probability of getting at least one head in two tosses of a fair coin is:

A. 1/2

B. 1/4

C. 1

D. 3/4

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Correct Answer: Option D

Explanation:
P(at least one head) = 1 - P(no heads) = 1 - P(TT) = 1 - 1/4 = 3/4. Alternatively, favorable outcomes: HH, HT, TH (3 out of 4), so 3/4.

This question belongs to: Accountancy and Statistics Statistics

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