Multiple choice

Radha distributes 5 sweets to each of her friends, Arjun, Deepika, Govind, and Jaya. The following three points are valid for the sweets with Arjun, Deepika, Govind, and Jaya before they receive the sweets from Radha. (i) The number of sweets with Arjun was equal to one-third of that with Govind. (ii) The average number of sweets with Jaya and Deepika was 27. (iii) The average number of sweets with Govind, Jaya, and Deepika was 30. What must be the average number of sweets with Govind, Arjun, Deepika, and Jaya now?

  1. 29.75

  2. 30.50

  3. 31.25

  4. 32.50

  5. 33.75
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let A, D, G, J be the number of sweets. (i) A = G/3. (ii) (J+D)/2 = 27 => J+D = 54. (iii) (G+J+D)/3 = 30 => G+54 = 90 => G = 36. Then A = 12. Total sweets = 12+36+54 = 102. Radha gives 5 sweets to each of the 4 friends, adding 20 sweets. New total = 122. Average = 122/4 = 30.5.

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