Aptitude

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

by
Question: At what angle the hands of a clock are inclined at 15 minutes past 5?
[A].

58 1 °
2

[B].

64°

[C].

67 1 °
2

[D].

72 1 °
2

Answer: Option C

Explanation:

Angle traced by hour hand in 21 hrs = 360 x 21 ° = 157 1 °
4 12 4 2
Angle traced by min. hand in 15 min. = 360 x 15 ° = 90°.
60
Required angle = 157 1 ° – 90° = 67 1 °
2 2

At 3:40, the hour hand and the minute hand of a clock form an angle of:

by
Question: 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°

Answer: Option C

Explanation:

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

Angle traced by it in 11 hrs = 360 x 11 ° = 110°.
3 12 3

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

Angle traced by it in 40 min. = 360 x 40 ° = 240°.
60

Required angle (240 – 110)° = 130°.

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

by
Question: An accurate clock shows 8 o’clock in the morning. Through how may degrees will the hour hand rotate when the clock shows 2 o’clock in the afternoon?
[A].

144°

[B].

150°

[C].

168°

[D].

180°

Answer: Option D

Explanation:

Angle traced by the hour hand in 6 hours = 360 x 6 ° = 180°.
12

3 pumps, working 8 hours a day, can empty a tank in 2 days. How many hours a day must 4 pumps work to empty the tank in 1 day?

by
Question:
3 pumps, working 8 hours a day, can empty a tank in 2 days. How many hours a day must 4 pumps work to empty the tank in 1 day?

[A].

9

[B].

10

[C].

11

[D].

12

Answer: Option D

Explanation:

Let the required number of working hours per day be x.

More pumps, Less working hours per day (Indirect Proportion)

Less days, More working hours per day (Indirect Proportion)

Pumps 4 : 3 :: 8 : x
Days 1 : 2

4 x 1 x x = 3 x 2 x 8

x = (3 x 2 x 8)
(4)

x = 12.

39 persons can repair a road in 12 days, working 5 hours a day. In how many days will 30 persons, working 6 hours a day, complete the work?

by
Question:
39 persons can repair a road in 12 days, working 5 hours a day. In how many days will 30 persons, working 6 hours a day, complete the work?

[A].

10

[B].

13

[C].

14

[D].

15

Answer: Option B

Explanation:

Let the required number of days be x.

Less persons, More days (Indirect Proportion)

More working hours per day, Less days (Indirect Proportion)

Persons 30 : 39 :: 12 : x
Working hours/day 6 : 5

30 x 6 x x = 39 x 5 x 12

x = (39 x 5 x 12)
(30 x 6)

x = 13.

In a dairy farm, 40 cows eat 40 bags of husk in 40 days. In how many days one cow will eat one bag of husk?

by
Question: In a dairy farm, 40 cows eat 40 bags of husk in 40 days. In how many days one cow will eat one bag of husk?

[A].

1

[B].

1
40

[C].

40

[D].

80

Answer: Option C

Explanation:

Let the required number of days be x.

Less cows, More days (Indirect Proportion)

Less bags, Less days (Direct Proportion)

Cows 1 : 40 :: 40 : x
Bags 40 : 1

1 x 40 x x = 40 x 1 x 40

x = 40.