Question

Directions: In the following question, two statements are numbered as Quantity I and Quantity II. On solving these statements, we get quantities I and II respectively. Solve both quantities and choose the correct option.

Quantity I: Find the missing term in the series 2, 11, 38, X, 362……

Quantity II: Find the value of X, 125% of X = 250

1. Quantity 1 > Quantity 2
2. Quantity 1 ≥ Quantity 2
3. Quantity 1 < Quantity 2
4. Quantity 1 ≤ Quantity 2
5. Quantity 1 = Quantity 2

Answer 1

Correct Answer - Option 3 : Quantity 1 < Quantity 2

Given:

Series = 2, 11, 38, X, 362……

125% of X = 250

Calculation:

Quantity I:

2, 11, 38, X, 362

⇒ series key = (3 × x) + 5, where x is preceding term

⇒ X = (3 × 38) + 5

⇒ X = 119

Quantity II:

125% of X = 250

⇒ (125 / 100) × X = 250

⇒ 250 × 100 / 125 = X

⇒ X = 200

∴ Quantity I < Quantity II