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IBPS PO Mains 12 Oct 2025 Shift 1 Paper

Question Numbers: 123-125

Directions: Study the following pie chart carefully to answer the questions that follow.

There are three schools namely A, B, and C. The total number of girls across all three schools is 650. The ratio of boys in School A to girls in School B is 4:5. The number of girls in School A is 20% higher than the number of girls in School B. In School C, the total number of students is 420, and the number of girls is 120 fewer than the number of boys in School B.

Question : 125 of 145

Marks: +1, -0

What is the difference between the combined number of girls in Schools A and B and the number of boys in School C?

230
320
340
270
Cannot be determined

Validate

Solution:

Concept:

Use the given ratios and totals to express all required quantities in terms of a single variable, then find the required difference directly.

Explanation:

Let

G_B = 5x

. Since

B_A : G_B = 4 : 5

, we get

B_A = 4x

Given

G_A = 120\%

G_B

, so

G_A = 1.2 \times 5x = 6x

Total girls in A, B and C:

G_A + G_B + G_C = 650

6x + 5x + G_C = 650

, hence

11x + G_C = 650

Combined girls in A and B:

G_A + G_B = 11x

Total students in C is 420, so boys in C:

B_C = 420 - G_C

Required difference:

(G_A + G_B) - B_C = 11x - (420 - G_C)

This simplifies to

11x + G_C - 420

Substitute

11x + G_C = 650

650 - 420 = 230

Thus the required difference is 230.

Answer:

Option A. 230

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