Question

DIRECTIONS: Study the given information carefully to answer the given question.

M is an integer selected at random from the set {7, 13, 24, 27, 33,19 & 21}

Quantity I: M = ?, where the average of 11, 8 and M is of least 15.

Quantity II: (1/3) of M.

1. Quantity I < Quantity II
2. Quantity I = Quantity II or the relationship cannot be established from the information that I given
3.  Quantity I ≤ Quantity II
4. Quantity I > Quantity II
5. Quantity ≥ Quantity II

Answer 1

Correct Answer - Option 4 : Quantity I > Quantity II

Calculation:

Quantity l 

⇒ (11 + 8 + M)/3 ≥ 15

⇒ 19 + M ≥ 45

⇒ M ≥ 26

⇒ M = 27 or 33

Quantity ll

⇒ (1/3) of M,     (which is always less than Quantity l)

⇒ Hence, Quantity l > Quantity ll

∴ The required result will be "Quantity I > Quantity II"