SSC CGL 2024 Tier-I · 13 September 2024, Shift 1 · Quantitative Aptitude · Question 20 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.

The pie chart below shows the per cent sale of different fruits in a day for a shop. If the total number of fruits sold by a fruit seller in a day is 1200, what is the combined central angle in the pie chart for oranges and apples?

(a)90
(b)180
(c)220
(d)160

Answer

Why

Correct — B. The pie chart labels the four slices apples 20%, bananas 40%, oranges 30% and sweet lime 10%.

Oranges + apples = 30% + 20% = 50%
A full pie spans 360 degrees
50% of 360 = 0.5 × 360 = 180 degrees → option (b)

The 1200 fruits are never used: a central angle depends on the share, not on the count behind it.

Why the others are wrong

(a)
90 — 90 degrees is a quarter of the pie, that is 25%. Oranges and apples together are 30% + 20% = 50%, which is half the circle and so twice this angle.
(c)
220 — 220 degrees means 220 ⁄ 360 = 61.1% of the sale. The four shares on the chart are 20, 40, 30 and 10, and no pair of them adds to 61.1%.
(d)
160 — 160 degrees means 160 ⁄ 360 = 44.4%. Again no pair of the chart's shares reaches it — oranges and apples give exactly 50%, and 50% of 360 is 180.

Concept

A pie chart turns a share into an angle through one fixed multiplier: 1% = 3.6 degrees, because 100% has to fill 360 degrees.

So any percentage becomes an angle by multiplying by 3.6, and any angle becomes a percentage by dividing by it. Oranges and apples are 30 + 20 = 50, and 50 × 3.6 = 180.

The absolute total changes how many fruits sit inside a slice — 30% of 1200 is 360 oranges — but it cannot change how wide the slice is drawn.

The 1200 total is a live decoy. It is the right number for a question about how many oranges were sold, and the wrong number for a question about an angle, which is why the stem supplies it.

Key facts

1% of a pie chart equals 3.6 degrees, since 100% fills 360 degrees.
This chart reads apples 20%, bananas 40%, oranges 30%, sweet lime 10%, adding to 100%.
Oranges and apples together take 50% of the pie, so 50% of 360 = 180 degrees.
30% of the 1200 fruits sold is 360 oranges — a count, not an angle.

Study next

Converting between share, central angle and absolute value on a pie chartFinding the difference between two sectors in degreesTwo-source data interpretation where a pie share feeds a table or bar total

Common traps

Feeding the 1200 total into the angle calculation, which the question never needs.
Matching the legend colours to the wrong slices — the grey 30% wedge is oranges, the blue 20% wedge is apples.
Answering 50 because the two shares add to 50%, without the ×3.6 conversion to degrees.

This pie-chart stem carries a total the asked quantity does not need, so the first move is to decide whether the answer is an angle, a share or a count. Quant Q.16 of the 13 Sep 2024, 09:00 paper applies the same discipline to a bar graph and Quant Q.19 to a commodity table.

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