Study the given pie chart carefully and answer the question that follows. The given pie chart shows the number of successful start-ups in different sectors in a particular year. START-UPS IN THE DIFFERENT SECTORS Health and Pharmaceutical — 30% | Education — 24% | Infrastructure — 15% | Agriculture — 12% | Communication — 10% | Transport — 9% If the total number of successful start-ups is 2910, then find the number of start-ups in the education and agriculture sectors. (Neglect the decimal part.)
- (a)1074
- (b)698
- (c)1048
- (d)1047
Answer
Why
Correct — D. The chart labels education 24% and agriculture 12%, and both are shares of the same 2910 start-ups, so add the shares before multiplying.
24% + 12% = 36%
36% of 2910 = 2910 × 36 ÷ 100 = 104760 ÷ 100 = 1047.6
The question says to neglect the decimal part, so drop the .6 rather than round it.
That gives 1047 — option (d).
Why the others are wrong
- (a)1074 — 1074 is 1047 with the last two digits swapped. The arithmetic is right and the transcription is not.
- (b)698 — 698 is 24% of 2910 (698.4 truncated) — education alone. The question asks for education and agriculture together.
- (c)1048 — 1048 rounds 1047.6 up. Neglecting the decimal part means truncating, and the two instructions differ by one whole start-up here.
Concept
A pie chart shows shares of a single total, so wedges can be added before any multiplication. Two sectors of 24% and 12% are simply 36% of the same 2910.
That saves a step: one multiplication instead of two, and no rounding at an intermediate stage.
The rider decides the last digit. A count of start-ups cannot be fractional, and 36% of 2910 is 1047.6, so the instruction to neglect the decimal part is doing real work — truncation and rounding disagree here.
The figure is a 3-D pie titled START-UPS IN THE DIFFERENT SECTORS, with each percentage printed next to its label outside the circle, so nothing has to be measured.
The labelled shares are Health and Pharmaceutical 30%, Education 24%, Infrastructure 15%, Agriculture 12%, Communication 10% and Transport 9%.
Key facts
- The chart's six labelled shares sum to 100%, so every wedge is a share of the same total.
- Education 24% plus agriculture 12% is 36%, and 36% of 2910 is 1047.6.
- Neglecting the decimal part of 1047.6 gives 1047, while rounding it would give 1048.
Study next
Common traps
- Answering for education alone and stopping at 698
- Rounding 1047.6 up when the question says to neglect the decimal part
- Misreading which wedge carries which label on a 3-D chart whose labels sit outside the circle
Pie-chart items ask for a share of a stated total, a ratio between two sectors, or a central angle.
Also asked 24 Sep 2024, 16:00, Quant Q.9 (central angle from a ₹10,70,000 total), 12 Sep 2024, 16:00, Quant Q.9 (1600 employees by department, with a table of ratios) and 13 Sep 2024, 09:00, Quant Q.20 (combined central angle for two fruits).
Table data is read the same way at Quant Q.12 and Q.13 here.
Related PYQs
No directly related past PYQ was found.