Multiple choice

Average of 11 numbers is 36, whereas average of 9 of them is 34. If the remaining two numbers are in the ratio 2: 3, then find the smaller number (between remaining two numbers).

  1. 54

  2. 24

  3. 30

  4. 36

  5. 48

Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Sum of 11 numbers = 11 × 36 = 396. Sum of 9 numbers = 9 × 34 = 306. Sum of remaining 2 numbers = 396 - 306 = 90. In ratio 2:3, parts are 2x + 3x = 90, so 5x = 90, x = 18. Numbers are 36 and 54. Smaller is 36. Option D is correct.