SSC CGL 2024 Tier-I · 13 September 2024, Shift 3 · Quantitative Aptitude · Question 7 of 98

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 angle turned by minutes hand in 25 minutes in a clock is:

Answer

Why

Correct — C. The minute hand sweeps a full turn, 360°, in 60 minutes.

Rate = 360° ⁄ 60 = 6° per minute
In 25 minutes: 25 × 6° = 150°

The four options are printed as pictures of fractions of π, so convert. Multiply degrees by π⁄180:
150 × π⁄180 = 150π⁄180 = 5π⁄6

The image on option (c) reads 5π over 6, which matches → option (c).

Why the others are wrong

(a)
The image shows π⁄2, which is 90°. That is a quarter turn — 15 minutes of minute-hand travel, not 25.
(b)
The image shows a bare π, a half turn of 180°. The minute hand reaches that at 30 minutes, five minutes past the time asked for.
(d)
The image shows 5π⁄3, which is 300° — double the correct sweep. You land here by using 12° per minute, or by forgetting to halve after converting.

Concept

A clock's minute hand covers 360° in 60 minutes, a fixed 6° per minute. The hour hand covers 30° in the same hour, so it moves at 0.5° per minute, one twelfth as fast.

This question asks only for the minute hand's own sweep, so the hour hand plays no part and none of the usual relative-speed work is needed.

The real second step is the unit. SSC prints the options in radians, and degrees become radians by multiplying by π⁄180, since 180° = π radians.

All four options are images rather than text: option (a) is π⁄2, option (b) is π, option (c) is 5π⁄6 and option (d) is 5π⁄3. The stem's phrase 'minutes hand' is the paper's own wording.

Key facts

The minute hand turns 6° per minute, completing 360° in an hour.
The hour hand turns 0.5° per minute, or 30° per hour.
180° equals π radians, so degrees convert by multiplying by π⁄180.
25 minutes of minute-hand travel is 150°, which is 5π⁄6 radians.

Study next

Angle between the hour and minute hands at a stated timeDegree-to-radian conversion for the common angles 30°, 45°, 60° and 120°Clock problems where the two hands coincide or stand at right angles

Common traps

Working out 150° correctly and then hunting for it among options that are all in radians.
Using 12° per minute by counting the dial's twelve numerals instead of its sixty minute marks.
Applying the hour hand's rate of 0.5° per minute to the minute hand.

The whole item turns on one rate, 6° per minute, plus a unit change — SSC does the work by printing the options in radians rather than degrees.

Answers left in π-form appear elsewhere in circle measure too, for instance the arc length at 12 Sep 2024, 16:00, Quant Q.25, whose four options are π, 2π, 3π and 4π.

Related PYQs

No directly related past PYQ was found.