If the number of females in the three institutes is in the ratio 3 9 5 respectively then what is the...........

Quantitative Aptitude (RBI Grade B) Case Studies

Directions : Study the paragraph and answer the questions that follow.

There are three popular institutes in a city, namely, A, B and C. The number of students studying in institute A is 20 less than the average number of students studying in institutes B and C, while the number of students studying in institute C is 1320, out of which 970 are males. The male-to-female ratio of institutes A and B is 13 : 3 and 11 : 21 respectively.

For higher studies in abroad, 45% of the students of the three institutes applied for scholarships in various programs, 60% of which were males. 6/17 of the total students that applied were from the institute C, and the number of students applied for scholarship from institute A were 30 less than the number of students applying from institute C.

The number of students applying for scholarship from institute B were 12 less than 80% of the students applying from institute A. Out of the total number of students that applied for scholarship, only 30% got the scholarship to study abroad, with a male-to-female ratio of 9 : 8. Out of the selected students, 50% of the girls were selected in the Economics stream, while 25% of the remaining girls were selected in the Science stream. On the other hand, 2/9 of the boys were selected in the Economics stream and 2/3 of the boys were selected in the Science stream.

If the number of females in the three institutes is in the ratio 3 : 9 : 5 respectively, then what is the male-to-female ratio of all the three institutes?

This questions was previously asked in

RBI Grade B (16 August 2018)

View All RBIB Previous Year Papers

7 : 2

9 : 4

11 : 5

13 : 7

15 : 9

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Explanation:

Let’s break it down:

- There are three institutes: A, B, and C.

- Institute C has 1320 students (970 males). The female count here is 350.

- The ratios of males to females:

A: 13:3

B: 11:21

- Number of females across A, B, C is in the ratio: 3:9:5.

Let’s call the number of females in A, B, and C as 3x, 9x, and 5x.

So, for C: 5x = 350 ? x = 70

Thus, females in:

A: 3x = 210

B: 9x = 630

C: 5x = 350

- Males calculation:

A: 13/3 × 210 = 910

B: 11/21 × 630 = 330

C: 970 (already given)

- So, totals:

A: 910 + 210 = 1120

B: 330 + 630 = 960

C: 970 + 350 = 1320

- To get the combined male-to-female ratio:

Males = 910 + 330 + 970 = 2210

Females = 210 + 630 + 350 = 1190

2210 : 1190 simplifies to 221 : 119

Divide both by 17: (2210/170):(1190/170) = 13:7

So, Option 4, 13 : 7 is the correct answer.

Here’s what this really means: the male-to-female ratio for all three institutes is 13:7. That lines up exactly with your choice, and all the given numbers check out when you break down the ratios and totals. The other options don’t fit the math or the given ratios, so you’ve got it spot on.