SSC CGL 2024 Tier-I · 24 September 2024, Shift 3 · Quantitative Aptitude · Question 9 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 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.

Study the given pie chart carefully and answer the question that follows. The given pie chart depicts the expenditure incurred towards different hobby classes of an institute. If the total expenditure is ₹10,70,000, then find the central angle of the sector representing ‘drawing’.

(a)70°
(b)68.4°
(c)19°
(d)90°

Answer

Why

Correct — B.

Read the Drawing slice off the pie chart: 19%. The chart also labels Dance 5%, Music 6%, Guitar 34%, Keyboard 22% and Drama 14%, and the six shares add to 100%.

A full circle is 360°, so a sector angle = share × 360°.

Angle = 19 ⁄ 100 × 360°
= 0.19 × 360° = 68.4° → option (b).

The ₹10,70,000 total plays no part: an angle depends on the share alone.

Why the others are wrong

(a)
70° — 70° corresponds to 19.44% of the circle, not 19%. The options deliberately keep the decimal, so 68.4° must not be rounded to a whole number.
(c)
19° — 19 is the percentage, not the angle. The × 360° step is missing; a sector of 19° would be a share of just 5.28%.
(d)
90° — 90° is a quarter of the circle, a 25% share. The chart labels Drawing at 19%, and 25% of the spending belongs to no sector shown.

Concept

A pie chart trades share for angle at a fixed rate: 1% = 3.6°, because 360° ⁄ 100 = 3.6.

So a sector angle is the percentage multiplied by 3.6, or equivalently (share ⁄ total) × 360°. Drawing at 19% gives 19 × 3.6 = 68.4°.

The rupee total is there for the other kind of question — how much money a sector represents. An angle needs only the proportion. When a chart is labelled in degrees instead, run the rate backwards: percentage = angle ⁄ 3.6.

The chart is titled Expenditure in thousands and its slices are labelled in per cent, so the ₹10,70,000 figure is surplus to this particular question.

Key facts

One per cent of a pie chart is 3.6°, since 360° ÷ 100 = 3.6°.
The Drawing sector is labelled 19%, and 19 × 3.6 = 68.4°.
A sector angle depends only on the share, which is why the ₹10,70,000 total is not used.
The labelled shares are Dance 5%, Music 6%, Guitar 34%, Keyboard 22%, Drama 14% and Drawing 19%, adding to 100%.

Study next

Converting between sector angle and percentage share at 3.6° per per centPie charts whose sectors are labelled in degrees rather than percentagesReading two sectors off one chart and comparing them as a ratio

Common traps

Reporting the percentage, 19, as though it were the angle.
Rounding 68.4° to 70° when the options preserve the decimal.
Bringing the ₹10,70,000 total into a question that only needs the share.

The same chart type returns at Quant Q.21 of this paper, where 240 blood donors are split by group and the question wants a ratio.
On 18 Sep 2024, 12:30, Quant Q.11 the sectors are labelled in degrees rather than per cent, and ₹42,000 spent on Soccer sets the money scale.

Related PYQs

No directly related past PYQ was found.