Quantitative Aptitude
Clocks and Calendars
428 Questions
Clocks and Calendars Questions
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11 hours 45 minutes
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4 hours 15 minutes
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22 hours 15 minutes
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16 hours 15 minutes
D
Correct answer
Explanation
To convert 12-hour time to 24-hour time for afternoon hours, add 12 to the hour value. 4 + 12 = 16, so 4:15 p.m. is 16:15.
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$\;1\,\colon\,12$
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$\;1\,\colon\,1$
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$\;5\,\colon\,1$
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$\;12\,\colon\,1$
A
Correct answer
Explanation
The hour hand completes 360 degrees in 12 hours (30 degrees/hr). The minute hand completes 360 degrees in 1 hour. Ratio = 30 : 360 = 1 : 12.
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${92^0}45'$
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${102^0}30'$
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${105^0}$
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${107^0}15'$
B
Correct answer
Explanation
At 8:25, the hour hand is at 8 + 25/60 = 8.4166 hours. The position in degrees from 12 is 8.4166 * 30 = 252.5 degrees. The minute hand is at 25 * 6 = 150 degrees. The difference is 252.5 - 150 = 102.5 degrees, or 102 degrees 30 minutes.
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$5\dfrac {5}{11}\ min$ and $38\dfrac {2}{11}\ min$ part $7$
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$55\ min$ and $20\ min$ past
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$55\ min$ and $10\ min$ past
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$\dfrac {600}{11}\ min$ and $\dfrac {900}{11}\ min$ part $7$`
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Acute
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Right
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Obtuse
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Straight
C
Correct answer
Explanation
At 2 o'clock, the angle is 60 degrees (acute). At 4 o'clock, the hour hand is at 4 and the minute hand is at 12. The angle is 4 * 30 = 120 degrees, which is obtuse.
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$4:00$
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$5:00$
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$6:00$
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$7:00$
C
Correct answer
Explanation
The hands of a clock lie in a straight line when they are either together (0 degrees) or opposite (180 degrees). At 6:00, the minute hand is at 12 and the hour hand is at 6, forming a 180-degree angle.
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$0^{o}$
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$90^{o}$
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$120^{o}$
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$160^{o}$
A
Correct answer
Explanation
At 12 o'clock, both the hour hand and the minute hand are pointing at the 12. Therefore, the angle between them is 0 degrees.
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$2.31\times { 10 }^{ -5 }$ $^{ 0 }{ C }^{ -1 }$
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$4.62\times { 10 }^{ -5 }$ $^{ 0 }{ C }^{ -1 }$
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$2.13\times { 10 }^{ -5 }$ $^{ 0 }{ C }^{ -1 }$
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$4.5\times { 10 }^{ -5 }$ $^{ 0 }{ C }^{ -4 }$
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$05 : 00$
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$05 : 30$
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$17 : 30$
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$17 : 00$
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$7(24) \displaystyle \frac{h}{t}$ minutes to 12
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$7(24) \displaystyle \frac{t}{60 h}$ minutes to 12
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$7(24) \displaystyle \frac{h}{60 t}$ minutes to 12
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$ \displaystyle \frac{60 t}{7} (24) h$ minutes to 12
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None of these
B
Correct answer
Explanation
In one week there are 7 * 24 = 168 hours. The clock loses t seconds per h hours, so total loss = (168t)/h seconds = (168t)/(60h) minutes = 7(24)t/(60h) minutes. This matches option B: 7(24) * t/(60h) minutes to 12.
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$\displaystyle 95^{\circ}$
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$\displaystyle 105^{\circ}$
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$\displaystyle 92^{\circ}$
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$\displaystyle 98^{\circ}$
A
Correct answer
Explanation
At 5:10, the hour hand is at 5 + 10/60 = 5.166 hours. Each hour is 30 degrees, so the hour hand is at 5.166 * 30 = 155 degrees from 12. The minute hand is at 10 minutes * 6 degrees/min = 60 degrees from 12. Angle = 155 - 60 = 95 degrees.
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${60^ \circ }$
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${90^ \circ }$
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${105^ \circ }$
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${75^ \circ }$
A
Correct answer
Explanation
A year is a leap year if it is divisible by 4, but century years must be divisible by 400. 2000 is divisible by 400, so it is a leap year. 1900, 1800, and 1700 are not divisible by 400.
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$7xy$
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$\dfrac{5y}{2x}$
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$\dfrac{14y}{5x}$
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$\dfrac{14x}{5y}$