SSC CGL 2025 Tier-I · 12 September 2025, Shift 3 · Quantitative Aptitude · Question 11 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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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.

Evaluate: 12 (1⁄2) % of 560 km + 66 (2⁄3) % of 240 km

(a)140 km
(b)230 km
(c)320 km
(d)450 km

Answer

Why

Correct — B. Turn each percentage into its fraction first.

12½% = 12.5⁄100 = 1⁄8
1⁄8 × 560 km = 70 km

66⅔% = (200⁄3)⁄100 = 2⁄3
2⁄3 × 240 km = 160 km

Add the two parts: 70 + 160 = 230 km → option (b)

Why the others are wrong

(a)
140 km — 140 km is less than the second part alone: 66⅔% of 240 km = 2⁄3 × 240 = 160 km. Adding the first part can only push the total higher.
(c)
320 km — Take away the first part, 70 km, and 320 km would leave 250 km for 66⅔% of 240 km — more than the whole 240 km, which two-thirds of it cannot be.
(d)
450 km — 450 km is more than 70 km plus all of 240 km (310 km). Even if the second percentage were 100%, the sum could not reach 450 km.

Concept

Percentages like 12½% and 66⅔% are awkward as decimals but clean as fractions: 12½% is 1⁄8 and 66⅔% is 2⁄3.

Finding x% of A means computing x⁄100 × A. With the fraction in hand, each part is one division: 560 ÷ 8, and 240 ÷ 3 × 2.

The units ride along. Both parts are in km, so the total is in km too.

The paper prints this stem as a picture, with the fractions in brackets: 12 (1⁄2) % and 66 (2⁄3) %. They are mixed numbers, 12½ and 66⅔, not 12 × 1⁄2 and 66 × 2⁄3.

Key facts

12½% = 1⁄8, because 100 ÷ 8 = 12.5.
66⅔% = 2⁄3, because 2⁄3 × 100 = 66⅔.
37½% = 3⁄8, because 3⁄8 × 100 = 37.5.

Study next

Fraction equivalents of common percentages: 16⅔% = 1⁄6, 37½% = 3⁄8, 83⅓% = 5⁄6Percentage expressions that mix addition and subtractionExpressing one quantity as a percentage of another

Common traps

Using 0.66 for 66⅔% and getting 158.4 km instead of 160 km — the fraction 2⁄3 is exact.
Adding the percentages first (12½% + 66⅔%) and applying the total to one distance, although each percentage has its own base.

The same fraction-for-percentage step decides 15 Sep 2025, 12:30, Quant Q.7: 80% of 350 − 37½% of 160 + 11% of 500, where 37½% = 3⁄8 makes the middle term 60 and the total 275.

Related PYQs

No directly related past PYQ was found.

Topic: Percentage — all 66 SSC CGL questions on it, every solved shift.