SSC CGL 2024 Tier-I · 24 September 2024, Shift 2 · General Intelligence and Reasoning · Question 25 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 10 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.

22 is related to 176 following a certain logic. Following the same logic, 32 is related to 256. To which of the following is 48 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)370
(b)380
(c)374
(d)384

Answer

Why

Correct — D. Rule: second number = first number × 8.

176 ÷ 22 = 8
256 ÷ 32 = 8

One constant ratio explains both given pairs, so apply it to 48:

48 × 8 = 40 × 8 + 8 × 8
= 320 + 64 = 384, option (d).

A faster check: only 384 divides by 8 exactly, so the other three fail before you multiply at all.

Why the others are wrong

(a)
370 — 370 is not a multiple of 8 — 370 ÷ 8 = 46.25 — so it cannot be a whole number multiplied by 8.
(b)
380 — 380 ÷ 8 = 47.5. Like 370 it is a round-looking number that fails the divisibility check on one line of work.
(c)
374 — 374 sits 10 below 384 and is the near miss, but 374 ÷ 8 = 46.75. It catches anyone who slips in the 40 × 8 + 8 × 8 split.

Concept

An A is related to B item hands you two worked examples so that one operation can be pinned down. Divide before anything else: 176 ÷ 22 = 8 and 256 ÷ 32 = 8.

If the quotients had disagreed, the next tests in order are difference, then n² ± k, then n × (n ± 1).

The note attached to the stem forbids breaking a number into its digits, which is SSC saying in advance that the answer is not a digit trick.

All four options lie between 370 and 384, so this is a pure multiplication check. Testing each option for divisibility by 8 eliminates three of them without any multiplication.

Key facts

176 ÷ 22 = 8 and 256 ÷ 32 = 8.
48 × 8 = 384.
Of the four options only 384 is divisible by 8.

Study next

Constant-ratio relations in A is related to B itemsDivisibility tests used to eliminate options without full multiplicationRelations of the form n × (n + 1) and n² ± k

Common traps

Testing a difference first, since 176 − 22 = 154 and 256 − 32 = 224 do not match
Computing 48 × 8 as 8 × 40 + 8 × 6 and arriving at 368
Splitting 48 into 4 and 8, which the printed note forbids

The same wrapper is set at 09 Sep 2024, 09:00, Reasoning Q.24 (19 → 209, 27 → 297, ratio 11) and at 11 Sep 2024, 09:00, Reasoning Q.20 (16 → 112, 26 → 182, ratio 7). Both are constant-ratio, so the quotient is always the first thing to take.

Related PYQs

No directly related past PYQ was found.