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The given table shows the number of formal learners, informal learners and illiterates, on the basis of gender, in the age group of 18-30 years in vil
Question

The given table shows the number of formal learners, informal learners and illiterates, on the basis of gender, in the age group of 18-30 years in village X near Delhi. Determine the ratio among the formal learners, informal learners and illiterates.

FORMAL LEARNERS
BOYS
39
GIRLS
52
INFORMAL LEARNERS
BOYS
65
GIRLS
78
ILLITERATES
BOYS
143
GIRLS
169

A.

7 : 24 : 11

B.

11 : 24 : 7

C.

11 : 7 : 24

D.

7 : 11 : 24

Correct option is D

Solution:
No of formal learners = 39 + 52 = 91
No of informal learners = 65 + 78 = 143
No of illiterates = 143 + 169 = 312
We can use the prime factorization method to find the GCD.
91 = 7 ×\times​13
143 = 11 ×\times​ 13
312 = 2 ×\times 2 ×\times×\times 3×\times13 
The common factor among these numbers is 13.
we divide each number by the GCD (13) to get the ratio
91 / 13 = 7
143 / 13 = 11
312 / 13 = 24
The required ratio;
= 7 : 11 : 24

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