SSC CGL 2025 Tier-I · 14 September 2025, Shift 1 · Quantitative Aptitude · Question 1 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 11 September 2026.

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Find the product: 1.2 × 2 2⁄5 × 3⁄4

(a)2.4
(b)2.5
(c)2.16
(d)2.1

Answer

Why

Correct — C. Turn every factor into a fraction.

1.2 = 12⁄10 = 6⁄5
2 2⁄5 = (2 × 5 + 2)⁄5 = 12⁄5
3⁄4 stays 3⁄4

Multiply the numerators: 6 × 12 × 3 = 216
Multiply the denominators: 5 × 5 × 4 = 100
Divide: 216⁄100 = 2.16 → option (c)

Why the others are wrong

(a)
2.4 — 2.4 is 2 2⁄5 on its own. The other two factors do not cancel: 1.2 × 3⁄4 = 0.9, so the product is 0.9 × 2.4 = 2.16.
(b)
2.5 — The fractions give 216⁄100 exactly, and 2.5 would need 250⁄100. The digits agree: 12 × 24 × 75 = 21600, with 1 + 1 + 2 = 4 decimal places, is 2.1600.
(d)
2.1 — 2.1 drops the hundredths digit. 216⁄100 is exactly 2.16, with no rounding anywhere, while 2.1 would be 210⁄100.

Concept

A product of a decimal, a mixed number and a fraction is easiest as one fraction. Convert the decimal (1.2 = 6⁄5) and the mixed number (2 2⁄5 = 12⁄5), multiply straight across, and divide once at the end.

A second route pairs the factors that simplify first: 1.2 × 3⁄4 = 0.9, then 0.9 × 2.4 = 2.16. Picking the pair that cancels keeps the numbers small.

Key facts

A mixed number a b⁄c equals (a × c + b)⁄c, so 2 2⁄5 = 12⁄5 = 2.4.
3⁄4 = 0.75, and 1.2 × 0.75 = 0.9.
A product has as many decimal places as its factors have together, counted before trailing zeros are dropped.

Study next

Converting mixed numbers to improper fractionsDecimal–fraction pairs such as 0.75 = 3⁄4 and 1.2 = 6⁄5BODMAS simplification that mixes decimals and mixed numbers

Common traps

Reading 2 2⁄5 as 2 × 2⁄5: the space means 2 + 2⁄5 = 12⁄5.
Placing the decimal point by eye instead of counting the four decimal places in 1.2 × 2.4 × 0.75.

Mixed numbers and decimals also appear together at 12 Sep 2025, 09:00, Quant Q.2 and 15 Sep 2025, 16:00, Quant Q.1, both as simplifications rather than a single product.

Related PYQs

No directly related past PYQ was found.

Topic: Computation of whole numbers, decimals, fractions and relationships between numbers — all 51 SSC CGL questions on it, every solved shift.