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Table 1 shows the bank-wise breakup of 4170 vacant posts in six banks A to F. Table 2 gives the cadre-wise percentage of posts within a bank (same for all six banks).

BankVacant Posts
A800
B940
C600
D820
E450
F560
CadrePercentage
ITO11
AFO35
LO10
FE26
TO8
PO10

The ratio of the recruitment of AFOs in banks C and E taken together to that in banks D and F taken together is

A46:35
B233:174
C174:233
D35:46 ✓ Correct
Correct answer: (D) 35:46
Explanation

The ratio is 35 to 46, so the answer is 35 to 46.

The AFOs are 35 percent of the posts in each bank.

In C and E the total posts are 600 plus 450, which is 1050, so the AFOs are 35 percent of 1050, which is 367.5.

In D and F the total posts are 820 plus 560, which is 1380, so the AFOs are 35 percent of 1380, which is 483.

The ratio is 367.5 to 483.

Since both are 35 percent of the posts, this equals the ratio 1050 to 1380, which simplifies to 35 to 46.

So the ratio is 35 to 46.

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