SSC CGL 2024 Tier-I · 19 September 2024, Shift 3 · Quantitative Aptitude · Question 10 of 99

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.

The pie-chart below shows the expenditures (in ₹ lakh) of a country on various sports during a particular year. Study the graph carefully and answer the question given below it. Tennis — 85° | Football — 70° | Golf — 48° | Swimming — 45° | Cricket — 60° | Basketball — 52° What is the average expenditure (in ₹ lakh) on tennis, golf, swimming, and basketball, if the expenditure on cricket is ₹72 lakh?

Answer

Why

Correct — C. The pie is labelled in degrees, not percentages, so the first move is to price one degree.

Cricket = 60° = ₹72 lakh
₹ per degree = 72 ⁄ 60 = ₹1.2 lakh per degree

Tennis 85° + golf 48° + swimming 45° + basketball 52° = 230°
Their total = 230 × 1.2 = ₹276 lakh

Average = 276 ⁄ 4 = ₹69 lakh → option (c)

Why the others are wrong

(a)
₹138 lakh is 276 ÷ 2, the four-sector total halved instead of quartered. It also beats tennis's own ₹102 lakh, and an average of four values cannot exceed the largest of them.
(b)
₹44 lakh sits below swimming's ₹54 lakh (45° × 1.2), the smallest of the four sectors asked about, so no average of those four can land there.
(d)
₹120 lakh is what 100° of this pie is worth, which is not a quantity the question asks for. Like 138, it also exceeds tennis's ₹102 lakh.

Concept

A pie chart can be labelled three ways: in degrees, in percentages, or in the quantity itself. This one uses degrees, so the full circle is 360° and every degree is worth the same number of rupees.

Give one sector's value and that constant is the whole question: ₹ per degree = the given value ÷ its angle. Every other sector then follows by one multiplication.

Note that football's 70° is never needed. Totting up sectors the question does not ask for only costs time.

The six angles add to 360° (85 + 70 + 48 + 45 + 60 + 52), so the chart is internally consistent — a two-second check worth making before you trust any single sector reading.

Key facts

Cricket's 60° sector is given as ₹72 lakh, which fixes the scale at ₹1.2 lakh per degree.
The four sectors asked about — tennis 85°, golf 48°, swimming 45°, basketball 52° — total 230°.
The whole pie is 360°, so total sports expenditure on this chart is 360 × 1.2 = ₹432 lakh.
An average of several values always lies between the smallest and the largest of them.

Study next

Pricing a degree-labelled pie sector from one sector whose value is givenAveraging a chosen subset of pie sectors without computing the full totalPercentage more or less between two groups of sectors in the same pie

Common traps

Dividing the four-sector total by 6 instead of 4, because the pie has six slices.
Reading the sector labels as percentages when the chart is drawn in degrees.
Matching sectors to sports by position rather than by the legend's colours.

This construction — a pie labelled in degrees with one sector's rupee value supplied — is asked again at 18 Sep 2024, 12:30, Quant Q.11, also on sports spending.

Averaging a chosen subset off a table rather than a pie appears at Quant Q.5 of this shift.

Related PYQs

No directly related past PYQ was found.