SSC CGL 2024 Tier-I · 13 September 2024, Shift 3 · General Intelligence and Reasoning · Question 15 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.

Select the option in which the numbers share the same relationship as that shared by the given pair of numbers. (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.) 63 : 441 51 : 357

(a)68 : 340
(b)54 : 324
(c)89 : 96
(d)39 : 273

Answer

Why

Correct — D. Divide the second number by the first in each given pair.

441 ÷ 63 = 7
357 ÷ 51 = 7

Rule: second = first × 7, applied to the whole number, exactly as the printed note demands.

39 × 7 = 273 → option (d)

Why the others are wrong

(a)
68 : 340 — 68 : 340 runs on × 5, since 340 ÷ 68 = 5. On the rule here, 68 would pair with 476.
(b)
54 : 324 — 54 : 324 runs on × 6, since 324 ÷ 54 = 6. It is the closest miss, and 54 × 7 = 378.
(c)
89 : 96 — 89 : 96 is + 7, not × 7. The 7 is there, but as a difference — 89 × 7 = 623.

Concept

Number-analogy pairs are settled by one operation applied to the whole number. The note printed above the question forbids splitting a number into its digits, so ratios, differences, squares, cubes and simple linear rules are the entire toolkit.

Test the ratio first — it is the fastest check to run. Both 441 ÷ 63 and 357 ÷ 51 give 7, and a rule confirmed by two pairs is safe to carry across to the options.

Exactly one option divides cleanly by 7, so no second criterion is needed. Running the division on all four takes about ten seconds and is worth doing before you mark.

Key facts

63 × 7 = 441 and 51 × 7 = 357, so the relationship is multiplication by 7.
39 × 7 = 273.
The printed note bars digit-level work, so the 6 and the 3 of 63 cannot be handled separately.

Study next

Number analogies tested by ratio, then difference, then square or cubeSpotting multiples of 7, 13 and 17 quickly by divisionThree-term number analogies, where one rule must survive two steps

Common traps

Splitting 63 into 6 and 3, which the printed note forbids.
Settling for 89 : 96 because 96 − 89 = 7 looks like the 7 you were hunting.
Fixing the rule from the first pair and never checking it against 51 : 357.

The rider about not breaking numbers into digits is printed above the item at 11 Sep 2024, 16:00, Reasoning Q.11 and at 17 Sep 2024, 16:00, Reasoning Q.3 as well, and it is the instruction that decides the question.

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