SSC CGL 2024 Tier-I · 13 September 2024, Shift 3 · General Intelligence and Reasoning · Question 5 of 98

Text as printed on a candidate's response sheet for this shift; answer per SSC's tentative key as marked on that sheet. Solution last reviewed 6 September 2026.

Where this paper and its answers come from

SSC does not publish CGL question papers or a public answer key. The questions and options here are reproduced as printed on a candidate's own response sheet for this shift — the Commission's text, unchanged. Each answer is SSC's tentative key as marked on that sheet; SSC allowed challenges to it and never publishes a final key. The solutions are written by UnlockIAS.

13 is related to 117 following a certain logic. Following the same logic, 23 is related to 207. To which of the following is 51 related, following the same logic? (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits. E.g. 13 – Operations on 13 such as adding /deleting /multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed)

(a)350
(b)459
(c)359
(d)450

Answer

Why

Correct — B. Rule: the second number is the first number multiplied by 9.

Check both given pairs:
117 divided by 13 = 9
207 divided by 23 = 9

The multiplier is constant, so nothing more elaborate is needed.

Apply it to 51:
51 x 9 = 510 - 51 = 459, which is option (b).

Why the others are wrong

(a)
350 — 350 is not a multiple of 51 at all. 51 x 6 is 306 and 51 x 7 is 357, so no whole multiplier lands on it.
(c)
359 — 359 is a hundred short of 459 and is a prime number, so it cannot be 51 times anything.
(d)
450 — 450 differs from 459 in the last digit alone. Any multiple of 51 by 9 must end in 9, because 1 x 9 = 9, so the units digit rejects it at a glance.

Concept

Number-relation items give two worked examples and ask you to carry the same operation to a third number. Try a constant multiplier first: divide the second number by the first in both examples and see whether the two quotients agree.

117 divided by 13 is 9 and 207 divided by 23 is 9. They agree, so the operation is a clean multiplication by nine.

The bracketed NOTE matters. It forbids splitting 13 into 1 and 3, which rules out the digit-play rules SSC uses in other item types.

51 x 9 is easiest as 510 minus 51 rather than as a long multiplication, and the units digit alone separates 459 from three of the four options.

Key facts

117 divided by 13 is 9 and 207 divided by 23 is 9, which fixes the multiplier at nine.
51 multiplied by 9 is 459.
The stem's NOTE forbids breaking a number into its digits.

Study next

Number relations built on a square plus a constantRelations where the second number is the cube of the firstRatio relations such as multiplying by one and a half

Common traps

Testing only the first pair, when the second pair is what confirms the rule
Leaving the units-digit check to the end instead of using it to reject options early
Reading the NOTE as advice rather than as a constraint on which rules are allowed

SSC keeps the two-example format and changes only the operation. A times-seven version appears at 11 Sep 2024, 09:00, Reasoning Q.20, where 16 gives 112, and a times-one-and-a-half version at 10 Sep 2024, 09:00, Reasoning Q.6, where 10 gives 15.

Related PYQs

No directly related past PYQ was found.