Considering the alarming importance of CSAT in UPSC CSE Prelims exam and with enormous requests we received recently, InsightsIAS has started Daily CSAT Test to ensure students practice CSAT Questions on a daily basis. Regular Practice would help one overcome the fear of CSAT too.We are naming this initiative as Insta– DART – Daily Aptitude and Reasoning Test. We hope you will be able to use DART to hit bull’s eye in CSAT paper and comfortably score 100+ even in the most difficult question paper that UPSC can give you in CSP-2021. Your peace of mind after every step of this exam is very important for us.
Looking forward to your enthusiastic participation (both in sending us questions and solving them on daily basis on this portal).
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Question 1 of 5
1. Question
What when the time is 6:32, then what is the angle b/w the hour hand & the minute hand of a clock?
Correct
Answer: B
Explanation
Formula used = θ = 30H – (11/2)M where, H= hours, M= minutes
H= 6 , M= 32
Required angle, θ = 30×6 – (11/2)32 = 4°
Incorrect
Answer: B
Explanation
Formula used = θ = 30H – (11/2)M where, H= hours, M= minutes
H= 6 , M= 32
Required angle, θ = 30×6 – (11/2)32 = 4°
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Question 2 of 5
2. Question
At what time between 1 and 2 o’ clock will the hands of a watch makes an angle of 180°
Correct
Answer: D
Explanation
Assume that minute hand will be at 7 then hands make an angle of 180°.
it contains 7 equal parts. Each part= 30°
Total angle= 7 ×30°= 210°
11/2° gain in 1 minutes
210° gain in =(2/11)×210=420/11=38(2/11) min. past 1
Incorrect
Answer: D
Explanation
Assume that minute hand will be at 7 then hands make an angle of 180°.
it contains 7 equal parts. Each part= 30°
Total angle= 7 ×30°= 210°
11/2° gain in 1 minutes
210° gain in =(2/11)×210=420/11=38(2/11) min. past 1
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Question 3 of 5
3. Question
The minute hand of a clock overtakes the hour hand at intervals of 64 minutes of correct time. How much does the clock gain or lose in 12 hours?
Correct
Answer: B
Explanation
60 min are gained in (60/55)×60 = 65(5/11) min.
But they are together after 64 min.
Gain in 65 min.= 65(5/11) -64 = (16/11)m
Gain in 12 hrs = (16/11) × (12×60/64) = 180/11 =16(4/11) min.
Incorrect
Answer: B
Explanation
60 min are gained in (60/55)×60 = 65(5/11) min.
But they are together after 64 min.
Gain in 65 min.= 65(5/11) -64 = (16/11)m
Gain in 12 hrs = (16/11) × (12×60/64) = 180/11 =16(4/11) min.
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Question 4 of 5
4. Question
At what time between 6 and 7 are the hands of a clock 8 minutes apart?
Correct
Answer: A
Explanation
Between x and (x + 1) O’clock, the 2 hands will be t min apart at (5x ± t)(12/11) min past x.
Between 6 and 7 O’clock, the 2 hands will be 8 min.
apart at (5 6 –8) (12/11) = 264/11 =24 min past 6.
Incorrect
Answer: A
Explanation
Between x and (x + 1) O’clock, the 2 hands will be t min apart at (5x ± t)(12/11) min past x.
Between 6 and 7 O’clock, the 2 hands will be 8 min.
apart at (5 6 –8) (12/11) = 264/11 =24 min past 6.
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Question 5 of 5
5. Question
When the time is 5:40, then what is the angle b/w the hour hand & the minute hand of a clock?
Correct
Answer: A
Explanation
Formula used= θ=(11/2)M -30H where, H= hours, M= minutes
H= 5 , M= 40
Required angle, θ=(11/2)40 -30×5 = 70°
Incorrect
Answer: A
Explanation
Formula used= θ=(11/2)M -30H where, H= hours, M= minutes
H= 5 , M= 40
Required angle, θ=(11/2)40 -30×5 = 70°
