Assertion (A): The arithmetic mean of a set of positive numbers is always greater than or equal to the geometric mean. Reason (R): AM ≥ GM for any set of non-negative numbers, and equality holds when all numbers are equal. Choose the correct option: MCQ with Answer and Explanation

Assertion (A): The arithmetic mean of a set of positive numbers is always greater than or equal to the geometric mean. Reason (R): AM ≥ GM for any set of non-negative numbers, and equality holds when all numbers are equal. Choose the correct option:
A. Both A and R are true, and R is the correct explanation of A
B. A is false, R is true
C. A is true, R is false
D. Both A and R are true, but R is not the correct explanation of A
Answer: Option A
Solution (By JKExamLibrary)
AM-GM inequality is a fundamental property. R correctly states the condition and explains A.

This question belongs to: Accountancy and Statistics Statistics

Discuss this Question (0)

No comments yet. Be the first to start the discussion!

Practice More Statistics Questions

Question #1 Report Error
In attributes, if (A)=70, (B)=50, (αβ)=10, and N=100, then (AB) is:
A. 20
B. 30
C. 40
D. 10

Correct Answer: Option B


Explanation:
(αβ)= N - (A) - (B) + (AB) ⇒ 10 = 100 -70 -50 + (AB) ⇒ (AB)=30.

This question belongs to: Accountancy and Statistics Statistics
Question #2 Report Error
A speaks truth in 70% cases, B in 80% cases. In what percentage of cases are they likely to contradict each other in stating the same fact?
A. 56%
B. 44%
C. 38%
D. 50%

Correct Answer: Option C


Explanation:
Contradiction = P(A truth and B lie) + P(A lie and B truth) = 0.7×0.2 + 0.3×0.8 = 0.14+0.24=0.38=38%.

This question belongs to: Accountancy and Statistics Statistics
Question #3 Report Error
Life expectancy at birth is computed using:
A. Sample survey
B. Birth registration
C. Life table
D. Census only

Correct Answer: Option C


Explanation:
Life table synthesizes age-specific mortality rates to compute life expectancy.

This question belongs to: Accountancy and Statistics Statistics