100+ Clock Aptitude Questions and Answers for Bank & SSC Exams - 1

Question: 1

At what time between 4 and 5 o’clock will the hands of a watch point in opposite directions?

(A) 40 min. past 4

(B) 45 min. past 4

(C) $$50{4}/{11}$$ min. past 4

(D) $$54 {6}/{11}$$ min. past 4

Ans: D

At 4 o’clock, the hands of the watch are 20 min. spaces apart.

To be in opposite directions, they must be 30 min. spaces apart.

Therefore, Minute hand will have to gain 50 min. spaces. 55 min. spaces are gained in 60 min.

50 min. spaces are gained in $$({60}/{55} x 50)$$ min. or 54 x $${6}/{11}$$ min.

Required time = $$54x{6}/{11}$$ min. past 4.

Question: 2

How much does a watch lose per day, if its hands coincide every 64 minutes?

(A) $$32 {8} / {11}$$ min

(B) $$36 {5} /{11}$$ min

(C) 90 min

(D) 96 min

Ans: A

55 min. spaces are covered in 60 min.

60 min. spaces are covered in $$({60}/{55} × 60)$$ min. = $$65{5}/{11}$$ min.

Loss in 64 min. $$(65{5}/{11} - 64)$$ = $${16}/{11}$$ min.

Loss in 24 hrs = $$({16}/{11} × {1}/{64} × 24 × 60) min.$$

= $$32{8}/{11}$$ min.

Question: 3

At 3.40, the hour hand and the minute hand of a clock form an angle of

(A) 120°

(B) 125°

(C) 130°

(D) 135°

Ans: C

Angle traced by hour hand in 12 hrs. = 360°

Angle traced by it in $${11}/{3}$$ hrs = $$({360}/{12} × {11}/{3})$$° = 110°.

Angle traced by minute hand in 60 min = 360°.

Angle traced by it in 40 min. = $$({360}/{60} × 40)$$° = 240°

∴ Required angle (240 -110)° = 130°

Question: 4

At what temperature 7 and 8 o’clock will the hands of a clock be in the same straight line, but, not together?

(A) 5 min, past 7

(B) $$5{2}/{11}$$ min, past 7

(C) $$5 {3}/{11}$$ min, past 7

(D) $$5{5}/{11}$$ min, past 7

Ans: D

When the hands of the clock are in the same straight line but not together, they are 30 minutes spaces apart.

At 7’0 clock, they are 25 min. spaces apart.

Therefore, Minute hand will have to gain only 5 min. spaces. 55 min. spaces are gained in 60 min.

5 min. spaces are gained in $$({60}/{55} × 5)$$ min = $$5{5}/{11}$$ min.

∴ Required time = $$5{5}/{11}$$ min. past 7.

Question: 5

A watch which gains 5 seconds in 3 minutes was set right at 7 a.m. In the afternoon of the same day, when the watch indicated quarter past 4 o’clock, the true time is

(A) $$59 ({7}/{12})$$ min. past 3

(B) 4 p.m.

(C) $$58 ({7}/{11})$$ min. past 3

(D) $$2 ({3}/{11})$$ min. past 4

Ans: B

Time from 7 a.m. to 4.15 p.m. = 9 hrs. 15 min. = $${37}/{4}$$ hrs.

3 min 5 sec. of this clock = 3 min. of the correct clock.

⇒ $${37}/{720}$$ hrs of this clock = $${1}/{20}$$ hrs of the correct clock

⇒ $${37}/{4}$$ hrs of this clock = $$({1}/{20} × {720}/{37} × {37}/{4})$$ hrs of the correct clock

⇒ ∴, the correct time is 9 hrs after 7 a.m. i.e., 4 p.m.

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