SSC CGL 2025 Tier-I · 23 September 2025, Shift 3 · General Intelligence and Reasoning · Question 22 of 100

We transcribed this text from the pictures on a candidate's response sheet for this shift; the answer is the key SSC colour-marked on that sheet. Solution last reviewed 13 September 2026.

Where this paper and its answers come from

SSC does not publish CGL question papers or a public answer key. From 2025 the candidate response sheet prints every question and option as a picture, so the text here is transcribed from those pictures for this shift and checked against them independently; where the layout carries meaning, the picture is shown as well. Each answer is the key SSC colour-marked on that sheet. SSC released a tentative key for challenge and later its final one, both only to candidates behind a login, and the sheet does not say which of the two it carries. The solutions are written by UnlockIAS.

What is the product of all digits from 0 to 9?

(a)326.592
(b)0
(c)4.536
(d)5040

Answer

Why

Correct — B.
Rule: any product with 0 as a factor is 0.

The digits 0 to 9 include 0:
0 × 1 × 2 × 3 × … × 9 = 0 → option (b).

Multiplying by the remaining nine digits cannot move a product away from zero.

Why the others are wrong

(a)
326.592 — As printed, 326.592 is not even a whole number, and a product of whole numbers always is. Read as 326,592 it is still non-zero, and a 0 factor makes the product 0.
(c)
4.536 — 4.536 is not a whole number as printed, so it cannot be a product of digits. Whatever it stands for, it is non-zero, and the factor 0 forces 0.
(d)
5040 — 5040 is 1 × 2 × … × 7 (7!). It stops at 7 and leaves out the 0, which by itself settles the product at 0.

Concept

Zero is the absorbing element of multiplication: a × 0 = 0 for every a. So a product over any range that includes 0 is 0, however many other factors there are.

The question punishes anyone who starts multiplying. Leaving out the 0, 1 × 2 × … × 9 = 362,880 (9!), which is not even an option.

Options (a) and (c) are printed on the response sheet with a decimal point, as 326.592 and 4.536. Either way they are non-zero, so the reading does not change the answer.

Key facts

Any number multiplied by 0 gives 0.
1 × 2 × … × 9 = 362,880, written 9!.
1 × 2 × … × 7 = 5040, written 7!.

Study next

Sum of the digits 0 to 9 and the n(n + 1)⁄2 formulaFactorials up to 10! and their trailing zerosUnit digit of a long product

Common traps

Starting to multiply before noticing that 0 is one of the digits.
Reading 'digits from 0 to 9' as 1 to 9 and hunting for 9!.

26 Sep 2025, 12:30, Reasoning Q.22 asks for the product of the digits on a calculator keypad (0−9), keyed 0.

Reasoning Q.23 of this shift asks for the sum of the same ten digits, which is 45.

Related PYQs

No directly related past PYQ was found.

Topic: Numerical Operations — all 148 SSC CGL questions on it, every solved shift.