SSC CGL 2024 Tier-I · 10 September 2024, Shift 2 · General Intelligence and Reasoning · Question 5 of 100

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.

104 is related to 13 following a certain logic. Following the same logic, 136 is related to 17. To which of the following is 232 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)31
(b)27
(c)29
(d)33

Answer

Why

Correct — C. Look for one operation that turns both given numbers into their partners.

104 → 13: 104 ÷ 13 = 8
136 → 17: 136 ÷ 17 = 8

Both divisions come out exact, and both give the same 8.

Rule: divide the number by 8.

232 ÷ 8 = 29 → option (c)

Check it the other way if you prefer: 29 × 8 = 232.

Why the others are wrong

(a)
31 — 31 × 8 = 248, which overshoots 232 by 16. The rule has to divide 232 exactly.
(b)
27 — 27 × 8 = 216, sixteen short of 232. Both samples divide with no remainder, so an approximate fit is not a fit.
(d)
33 — 33 × 8 = 264, the furthest of the four from 232. Multiplying each option by 8 is the quickest way to test them.

Concept

Related-number items give two worked examples and ask you to carry the same operation to a third number. Division is the first thing to try when the second number is far smaller than the first.

Factorise rather than guess. 104 = 8 × 13 and 136 = 8 × 17, so the constant is the 8 they share, not anything about 13 and 17 themselves.

The stem's note removes the digit-based tricks, which is a help: it tells you the answer lies in ordinary arithmetic on the whole number.

Both 13 and 17 are prime, so 104 and 136 each factor only one useful way. That is what makes the divisor unambiguous here.

Key facts

104 = 13 × 8 and 136 = 17 × 8, which fixes the divisor at 8.
232 ÷ 8 = 29 exactly, with nothing left over.
The note in the stem bars breaking 104 into 1, 0 and 4.

Study next

Related-number items built on a constant multiplier or divisorFactorising three-digit numbers quickly to expose a shared factorRelations built on n², n³ and n² ± n

Common traps

Reaching for digit sums, which the stem forbids outright.
Fixing a rule from 104 → 13 alone, such as subtracting 91, which the second pair then kills.
Dividing 232 by 13 or 17 instead of by the constant 8.

Number relations recur through this shift's Reasoning section — a pair analogy at Q.2, an odd-one-out at Q.7 and a three-number set at Q.12 (10 Sep 2024, 12:30).

Related PYQs

No directly related past PYQ was found.