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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 : 124 of 145

Marks: +1, -0

What is the ratio of the number of boys in School A to the number of girls in School C?

4:5
5:3
3:2
4:3
Cannot be determined

Validate

Solution:

Concept:

If the given data leaves the unknown variable

x

undetermined, the required ratio cannot be fixed.

Explanation:

Let

B_A

and

G_A

be the boys and girls in School A,

B_B

and

G_B

in School B, and

B_C

and

G_C

in School C.

Given total girls:

G_A + G_B + G_C = 650

Also,

B_A : G_B = 4 : 5

. Let

G_B = 5x

and

B_A = 4x

Since

G_A = 120\%

G_B

, we get

G_A = \frac{120}{100} \times 5x = 6x

Now total girls gives:

6x + 5x + G_C = 650

\Rightarrow G_C = 650 - 11x

The required ratio is

B_A : G_C = 4x : (650 - 11x)

To find this ratio, the value of

x

is needed.

The other conditions are

G_C = B_B - 120

and

B_C + G_C = 420

These only connect

B_B

and

B_C

, but they do not give a unique value of

x

G_C

Thus, the ratio cannot be determined from the given data.

Answer:

Cannot be determined (Option E).

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