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RRB Junior Engineer / DMS / CMA 2019 · Question 142 of 3719

The arithmetic mean and geometric mean of two numbers are 7 and 2√10 respectively, then find the numbers.

Mathematics - Statistics

  1. Aa. 2, 20
  2. Bb. 5, 4
  3. Cc. 4, 10Correct
  4. Dd. 8, 5

Answer: C. c. 4, 10

Explanation

Arithmetic Mean = 7 (x + y)/2 = 7 x + y = 14 ----(1) Geometric Mean = 2√10 √ xy = 2√ 10 Now, 2 xy = (2√ 10) = 40 ------(2) (x - y) ² = (x + y) ² - 4xy 2 (x - y) ² = 14 - (4 x 40) (x - y) ² = 196 - 160 = 36 x-y=6 ----(3) Now, adding equation (1) and (3) we get 2x = 20 x = 10 and y =4. (10,4)

Source: RRB JE 2019 CBT-1 (24-May-2019 Shift-1) — ixambee compilation with answer key and solutions · reliable-secondary

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