SSC CGL 2024 Tier-I · 23 September 2024, Shift 3 · Quantitative Aptitude · Question 8 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.

Find the area of a rectangle whose length is 52m and breadth is 9m.

Answer

Why

Correct — A. Area of a rectangle = length × breadth, with both sides in the same unit.

Here length = 52 m and breadth = 9 m:
52 × 9 = 52 × 10 − 52
= 520 − 52 = 468

Metre × metre gives m², so the area is 468 m² → option (a), the picture reading 468m².

Why the others are wrong

(b)
Option (b) shows 253 m². The product 52 × 9 must end in 8, because 2 × 9 = 18 — a units digit of 3 rules this out before the multiplication is even finished.
(c)
Option (c) shows 552 m², which exceeds 52 × 10 = 520. Since 9 is less than 10, the area cannot pass 520.
(d)
Option (d) shows 625 m², which is 25² and has no route out of 52 × 9. It also breaks the same 520 ceiling.

Concept

A rectangle carries two formulas that are easy to swap under time pressure: area = l × b and perimeter = 2(l + b).

Area multiplies the units as well as the numbers, so metres times metres gives square metres. Perimeter only adds them and stays in metres.

For l = 52 m and b = 9 m that is 468 m² of area against 122 m of perimeter — two very different numbers, and the unit on the option is the fastest way to tell which one is wanted.

The four options reach the candidate as images rather than text, and each picture carries the unit m² with it. Read the exponent on the option, not only the digits.

Key facts

Area of a rectangle = length × breadth, expressed in square units.
Perimeter of a rectangle = 2(length + breadth), which for 52 m and 9 m is 122 m.
52 × 9 = 468, checkable as 52 × 10 − 52 = 520 − 52.

Study next

Finding the breadth of a rectangle when its area and length are givenRectangles whose sides are given as a ratio, with the area fixedConverting m² to cm² and to hectares, where the conversion factor is squared

Common traps

Computing the perimeter 122 m when the question asks for the area.
Writing 468 m rather than 468 m², which on a picture-option paper means picking the wrong image.

The item needs one formula and no setting up, and the options carry the unit inside the picture rather than in text. Area of an equilateral triangle from its side, in the same one-step style, is asked at 18 Sep 2024, 12:30, Quant Q.14.

Related PYQs

No directly related past PYQ was found.

Topic: Triangle, Quadrilaterals, Regular Polygons, Circle — all 51 SSC CGL questions on it, every solved shift.