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Cognizant Clocks & Calendar Quiz-1

Question 1

Time: 00:00:00

15th august 2010 was which day of the week?

Thursday

Friday

Wednesday

Sunday

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ANSWER: Sunday

Explanation:

15th August, 2010 = (2009 years + Period 1.1.2010 to 15.8.2010)

Odd days in 1600 years = 0

Odd days in 400 years = 0

9 years = (2 leap years + 7 ordinary years) = (2 x 2 + 7 x 1) = 11 = 4 odd days.

Jan. Feb. Mar. Apr. May. Jun. Jul. Aug.

(31 + 28 + 31 + 30 + 31 + 30 + 31 + 15) = 227 days = (32 weeks + 3 days) = 3 odd days.

Total number of odd days = (0 + 0 + 4 + 3) = 7 = 0 odd days.

Given day is Sunday

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Question 2

Time: 00:00:00

Today is Monday. After 61 days, it will be :

Tuesday

Monday

Sunday

Saturday

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ANSWER: Saturday

Explanation:
The basic concept in a problem involving days is finding the number of odd days. In 61 days:

=> 7 x 8 + 5 = 5 odd days

=> Monday + 5 days = Saturday

Hence 61 days from today will be a Saturday.

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Question 3

Time: 00:00:00

At what time between 7 o'clock and 8 o'clock, will the hands of a clock be together?

33(5/12) minutes past 7 o’ clock

38(2/11) minutes past 7 o’ clock

35(7/11) minutes past 8 o’ clock

32(1/11) minutes before 8 o’ clock

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ANSWER: 38(2/11) minutes past 7 o’ clock

Explanation:
clocks

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Question 4

Time: 00:00:00

Jaggu set an alarm on his clock for Monday 11 am. He set his clock correctly on Sunday 1 am. He was unaware that the clock gains 20 min every 24 hours. When his alarm went off what was the actual time?

28 minutes 20 seconds before 10 am

28 minutes 20 seconds past 11 am

31 minutes 40 seconds past 11 am

31 minutes 40 seconds past 10 am

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ANSWER: 31 minutes 40 seconds past 10 am

Explanation:
clocks

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Question 5

Time: 00:00:00

Ramesh sets his grandfather’s clock to the right time at 2.00 am on Thursday. But he didn’t know that the clock gains 20s for every 3 hours. What will the clock indicate on Friday night 6.30 pm?

6.32.00 pm

6.32.46 pm

6.38.56 pm

6.34.30 pm

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ANSWER: 6.34.30 pm

Explanation:
clocks

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Question 6

Time: 00:00:00

At what time after 9 am, do hands of clock make a right angle?

At 32(8/11) minutes past 9 am

At 9 am

At 3 pm

At 29(8/11) minutes before 10 am

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ANSWER: At 32(8/11) minutes past 9 am

Explanation:
clocks

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Question 7

Time: 00:00:00

The reflex angle between the hands of the clock at 10:25 is.

120°

146.5°

197.5°

126.45°

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ANSWER: 197.5°

Explanation:

Angle traced minutes hand in 25 minutes = $\frac{25 \times 360}{60}$ =150∘
The hour hand traces half a degree in one minute. Hence, angle traced by hour hand at 10 hour and 25 minutes = 10×30+ $\frac{25}{2}$ =312.5∘
Thus, angle between two hands = 312.5−150=162.5∘
Hence, the reflex angle is = 360−162.5=197.5∘

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Question 8

Time: 00:00:00

The minute hand and hour hand of a clock meet every 62 minutes. Does the clock gain or lose in 24 hours. And how much does it lose or gain?

66(5/11) minutes

72(7/11) minutes

78(74/11) minutes

56(65/11) minutes

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ANSWER: 78(74/11) minutes

Explanation:
clocks

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Question 9

Time: 00:00:00

What angle is formed between the minutes hand and seconds’ hand of clock if they are 25 minutes apart?

110°

120°

130°

150°

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ANSWER: 150°

Explanation:
clocks

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Question 10

Time: 00:00:00

Ramesh wants to set the clock hands 8 minutes apart between 10 o'clock and 11 o'clock. What would be the time shown in the clock if he does so?

3(3/11) minutes before 11 o’ clock and 63(3/11) minutes past 10 o’ clock

43(9/11) minutes past 10 o’ clock and 3(3/11) minutes past 11 o’ clock

43(9/11) minutes past 10 o’ clock and 58(9/11) minutes before 11 o’ clock

43(9/11) minutes past 10 o’ clock and 3(3/11) minutes before 11 o’ clock

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ANSWER: 43(9/11) minutes past 10 o’ clock and 3(3/11) minutes past 11 o’ clock

Explanation:
clocks

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