# PE 1 - Clocks | LR - Clocks

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**Answer the following 4 questions based on the information given below.**

There are two faulty analog clocks, one gains 2 minutes every hour while the other loses 3 minutes every hour. Both of them show the correct time at 6 a.m. on 1^{st} January.

**PE 1 - Clocks | LR - Clocks**

When will the slower clock show correct time again?

- (a)
12 noon on 10

^{th}Jan - (b)
6 a.m. on 10

^{th}Jan - (c)
6 a.m. on 12

^{th}Jan - (d)
6 a.m. on 11

^{th}Jan

Answer: Option D

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**PE 1 - Clocks | LR - Clocks**

When will the faster clock show correct time again?

- (a)
6 a.m. of 16

^{th}January - (b)
6 a.m. of 15

^{th}January - (c)
10 p.m. of 16

^{th}January - (d)
12 noon of 12

^{th}January - (e)
None of these

Answer: Option A

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**PE 1 - Clocks | LR - Clocks**

When will both of them show the correct time again?

- (a)
12 noon on 30

^{th}January - (b)
6 p.m. on 31

^{st}January - (c)
6 a.m. on 31

^{st}January - (d)
6 a.m. on 30

^{th}January - (e)
None of these

Answer: Option C

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**PE 1 - Clocks | LR - Clocks**

When will both of them show the same time again?

- (a)
12 noon on 7

^{th}Jan - (b)
6 a.m. on 8

^{th}Jan - (c)
6 a.m. on 7

^{th}Jan - (d)
6 p.m. on 12

^{th}Jan - (e)
None of these

Answer: Option C

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**PE 1 - Clocks | LR - Clocks**

One evening, Aakash goes out for a drive, sometime between 3 O'clock and 4 O’clock. When he gets back, sometime between 8 O’clock and 9 O’clock, he noticed that the minute and hour hands have interchanged their positions exactly with what they were when he started out. At what time did he leave his house?

- (a)
3 hours 44 minutes and 10 seconds

- (b)
3 hours 42 minutes and 20 seconds

- (c)
3 hours 41 minutes and 32 seconds

- (d)
3 hours 43 minutes and 25 seconds

- (e)
None of these

Answer: Option C

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**PE 1 - Clocks | LR - Clocks**

How much does a watch gain or lose per day, if its hands coincide every 66 minutes?

- (a)
Loses$12\frac{111}{121}$

- (b)
Loses $11\frac{109}{121}$

- (c)
Gains $11\frac{109}{121}$

- (d)
Gains $12\frac{111}{121}$

Answer: Option B

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**PE 1 - Clocks | LR - Clocks**

If the minutes hand and seconds' hand of a clock are 45 minutes apart. What will be the angle formed between them?

[Type in your answer as the nearest possible integer in degrees.]

Answer: 270

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