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Q #11
:

Directions: Read the following information to answer the question.

This is 7:52 on the clock, the angular displacement of minute hand before both the hands overlap is

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At the given time the angle between the hands of the clock = 284°.

The time required to change this angle to be reduced to 0° =

284

5.5 min.

= 51.6 min.

∴ The angular displacement of min hand = 51.6 × 6° = 309.6°.

(The min-hand covers 6° in 1 min.)


Q #12
:

Directions: Read the following information to answer the question.

What is the angle between two hands of clock when it is 13 past 7?

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Relative angular displacements between two hands of clock in 1 min. is

5.5° / min.

∴ After 13 min. angle will be 210 – 5.5 × 13 = 138.5°

o r 360 – 138.5 = 71.5°


Q #13
:

Directions: Read the following information to answer the question.

A and B walk from X to Y, a distance of 27 km at 5 kmph and 7 kmph relay. B reaches Y and immediately turns back meeting A at Z. What is the distance from X to Z?

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If A travels a distance x before meeting, B travels 27 + 27 – x = 54 – x.

Since the distances are traveled in the same time.

x/(54 – x) = 5/7.⇒ x = 22.5 Km.


Q #14
:

Directions: Read the following information to answer the question.

A runs at 60 m/s and B runs at 10 m/s. After their first meet, the total time taken by each to reach opposite stations is 3 sec. Now, A reaches station B' and again moves towards station A'. What is time after their first meet, A and B meet each other?

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Sa/Sb = √(tb/ta)

tb/ta = 36:1

Total time is 111 sec, hence time taken by A is 3 sec to reach B' and he travels

60 × 3 = 180 m. Meanwhile, B travels 3 ×10 = 30 m away from station B'.

So, to meet each other, they require (180 + 30)/(60 – 10) = 210/50 = 4.2

sec. After their first meet, they meet after 3 + 4.2 = 7.2 sec.


Q #15
:

Directions: Read the following information to answer the question.

If one clock gains 2 minutes in 12 hours and another clock loses 2 minutes in 36 hours and both show the correct time at noon on Wednesday then on what day and what time will they differ by 15 minutes?

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Since difference of 8 minutes comes in 36 hrs

∴ Difference of 15 minutes will come in 36/8 × 15 = 67.5 hr

So 7.30 am of Saturday.