100+ Clock Aptitude Questions and Answers - 2

Question: 6

A clock is started at noon By 10 minutes past 5, the hour hand has turned through

(A) 140°

(B) 145°

(C) 150°

(D) 155°

Ans: D

Angle traced by hour hand in 12 hrs = 360°

Angle traced by hour hand in 5 hrs 10 min. i.e. $${31} / {6}$$ hrs

= $$({360} / {12} × {31} / {6})°$$ = 155°

Question: 7

At what angle the hands of a clock are inclined at 15 minutes past 5?

(A) $$58 {1} / {2}$$°

(B) $$64 {1} / {2}$$°

(C) $$67 {1} / {2}$$°

(D) $$72 {1} / {2}$$°

Ans: C

Angle traced by hour hand in $${21} / {4}$$ hrs = $$({360} / {12} × {21} / {4})$$° = $$157 {1} / {2}$$°

Angle traced by min. hand in 15 min. = $$({360} / {12} × 15)$$° = 90°

Required angle = $$(157× {1} / {2})$$° = $$67{1} / {2}$$deg;.

Question: 8

An accurate clock shows 8 o’clock in the morning. Through how many degrees will the hour hand rotate when the clock shows 2 o’clock in the afternoon?

(A) 150°

(B) 160°

(C) 180°

(D) 190°

Ans: C

Angle traced by the hour hand in 6 hours = $$({360} / {12} × 6)$$° = 180°

Question: 9

At what time, in minutes, between 3 o’clock and 4’o clock, both the needles will coincide each other?

(A) $$16 {4} /{11}$$

(B) $$13 {4} / {11}$$

(C) $$12 {4} / {11}$$

(D) $$5 {1}/{11}$$

Ans: A

At 3’o clock, the minute hands in 15 min. Spaces apart from the hour hand.

To be coincident, it must gain 15 min. spaces.

55 min. are gained in 60 min.

15 min. are gainded in $$({60} / {55} × 15)$$ min. = $$16× {4} / {11}$$ min.

∴ The hands are coincident at $$16 × {4} / {11}$$ min. past 3.

Question: 10

At what time between 9 and 10 o’clock will the hands of a watch be together?

(A) 45 min. past 9

(B) $$49{1} / {11}$$ min. past 9

(C) $$48 {2} / {11}$$ min. past 9

(D) 50 min. past 9

Ans: B

To be together between 9 and 10 o’clock, the minute hand has to gain 45 min. spaces.

55 min. spaces gained in 60 min.

45 min. spaces are gained in $$({60} /{55} × 45)$$min. or $$49{1} / {11}$$ min.

∴ The hands are together at $$49× {1} / {11}$$ min. past 9.

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