UPSC Insta–DART (Daily Aptitude and Reasoning Test) 19 Dec 2024
Kartavya Desk Staff
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 A defective watch shows a weird behavior. It gains 3 seconds per 5 minutes in the first hour, looses 6 seconds per 5 minutes in the second hour, gains 9 seconds per 5 minutes in the next one hour, and so on. If the watch showed the correct time at 6:00 a.m. on Friday, then what was the time it indicated at 9:00 p.m. on Saturday? a) 9:12 p.m. b) 9:20 p.m. c) 9:25 p.m. d) 9:02 p.m. Correct Answer: A Explanation Total time from 6:00 a.m. on Friday to 9:00 p.m. on Saturday = 24 + 12 + 3 = 39 hours In first hour, it gains 3 sec in 5 min. So, in first hour it gains (3/5)×60 = 36 sec. In second hour, it loses 6 sec in 5 min. So, in second hour it loses (6/5)×60 = 72 sec. So, in 2 hours it loses 72 – 36 = 36 sec. So, in 38 hours it loses (36/2) × 38 = 684 sec. In 39th hour, it will gain 36 + (39 – 1)36 = 36×39 = 1404 sec. So, total gain in time = 1404 – 684 = 720 sec = 12 mins. So, the time displayed by the clock at 9 p.m. on Saturday = 9:00 p.m. + 12 minutes = 9:12 p.m. Incorrect Answer: A Explanation Total time from 6:00 a.m. on Friday to 9:00 p.m. on Saturday = 24 + 12 + 3 = 39 hours In first hour, it gains 3 sec in 5 min. So, in first hour it gains (3/5)×60 = 36 sec. In second hour, it loses 6 sec in 5 min. So, in second hour it loses (6/5)×60 = 72 sec. So, in 2 hours it loses 72 – 36 = 36 sec. So, in 38 hours it loses (36/2) × 38 = 684 sec. In 39th hour, it will gain 36 + (39 – 1)36 = 36×39 = 1404 sec. So, total gain in time = 1404 – 684 = 720 sec = 12 mins. So, the time displayed by the clock at 9 p.m. on Saturday = 9:00 p.m. + 12 minutes = 9:12 p.m.
#### 1. Question
A defective watch shows a weird behavior. It gains 3 seconds per 5 minutes in the first hour, looses 6 seconds per 5 minutes in the second hour, gains 9 seconds per 5 minutes in the next one hour, and so on. If the watch showed the correct time at 6:00 a.m. on Friday, then what was the time it indicated at 9:00 p.m. on Saturday?
• a) 9:12 p.m.
• b) 9:20 p.m.
• c) 9:25 p.m.
• d) 9:02 p.m.
Explanation
Total time from 6:00 a.m. on Friday to 9:00 p.m. on Saturday = 24 + 12 + 3 = 39 hours
In first hour, it gains 3 sec in 5 min. So, in first hour it gains (3/5)×60 = 36 sec.
In second hour, it loses 6 sec in 5 min. So, in second hour it loses (6/5)×60 = 72 sec.
So, in 2 hours it loses 72 – 36 = 36 sec.
So, in 38 hours it loses (36/2) × 38 = 684 sec.
In 39th hour, it will gain 36 + (39 – 1)36 = 36×39 = 1404 sec.
So, total gain in time = 1404 – 684 = 720 sec = 12 mins.
So, the time displayed by the clock at 9 p.m. on Saturday = 9:00 p.m. + 12 minutes = 9:12 p.m.
Explanation
Total time from 6:00 a.m. on Friday to 9:00 p.m. on Saturday = 24 + 12 + 3 = 39 hours
In first hour, it gains 3 sec in 5 min. So, in first hour it gains (3/5)×60 = 36 sec.
In second hour, it loses 6 sec in 5 min. So, in second hour it loses (6/5)×60 = 72 sec.
So, in 2 hours it loses 72 – 36 = 36 sec.
So, in 38 hours it loses (36/2) × 38 = 684 sec.
In 39th hour, it will gain 36 + (39 – 1)36 = 36×39 = 1404 sec.
So, total gain in time = 1404 – 684 = 720 sec = 12 mins.
So, the time displayed by the clock at 9 p.m. on Saturday = 9:00 p.m. + 12 minutes = 9:12 p.m.
• Question 2 of 5 2. Question Two clocks are set to show the correct time at 6 a.m. One clock gains 3 minutes in an hour, while the other gains 5 minutes in an hour. By how many minutes will the two clocks differ at 10 p.m. on the next day? a) 80 minutes b) 90 minutes- c) 70 minutes d) 50 minutes Correct Answer: A Explanation Difference in minutes between the two clocks in one hour = 5 – 3 = 2 minutes Total number of hours from 6 a.m. today to 10 p.m. on next day = 24 + 12 + 4 = 40 hours Difference in minutes between the two clocks in 40 hours = 2 × 40 = 80 minutes Incorrect Answer: A Explanation Difference in minutes between the two clocks in one hour = 5 – 3 = 2 minutes Total number of hours from 6 a.m. today to 10 p.m. on next day = 24 + 12 + 4 = 40 hours Difference in minutes between the two clocks in 40 hours = 2 × 40 = 80 minutes
#### 2. Question
Two clocks are set to show the correct time at 6 a.m. One clock gains 3 minutes in an hour, while the other gains 5 minutes in an hour. By how many minutes will the two clocks differ at 10 p.m. on the next day?
• a) 80 minutes
• b) 90 minutes-
• c) 70 minutes
• d) 50 minutes
Explanation
Difference in minutes between the two clocks in one hour = 5 – 3 = 2 minutes
Total number of hours from 6 a.m. today to 10 p.m. on next day = 24 + 12 + 4 = 40 hours
Difference in minutes between the two clocks in 40 hours = 2 × 40 = 80 minutes
Explanation
Difference in minutes between the two clocks in one hour = 5 – 3 = 2 minutes
Total number of hours from 6 a.m. today to 10 p.m. on next day = 24 + 12 + 4 = 40 hours
Difference in minutes between the two clocks in 40 hours = 2 × 40 = 80 minutes
• Question 3 of 5 3. Question If the time shown by a clock is 4 hours 35 minutes, then what time does it show on the mirror image? a) 6 hours 25 minutes b) 7 hours 35 minutes c) 6 hours 55 minutes d) 7 hours 25 minutes Correct Answer: D Explanation The time shown by the mirror image of the clock = 12 hours – 4 hours 35 minutes = 7 hours 25 minutes Incorrect Answer: D Explanation The time shown by the mirror image of the clock = 12 hours – 4 hours 35 minutes = 7 hours 25 minutes
#### 3. Question
If the time shown by a clock is 4 hours 35 minutes, then what time does it show on the mirror image?
• a) 6 hours 25 minutes
• b) 7 hours 35 minutes
• c) 6 hours 55 minutes
• d) 7 hours 25 minutes
Explanation
The time shown by the mirror image of the clock = 12 hours – 4 hours 35 minutes = 7 hours 25 minutes
Explanation
The time shown by the mirror image of the clock = 12 hours – 4 hours 35 minutes = 7 hours 25 minutes
• Question 4 of 5 4. Question Consider the following statements: In a 12-hour clock the hour, the minute, and the second hands of the clock will coincide 11 times from 6 p.m. of present-day to 6 a.m. of next day. The minute hand and second hand of a clock cross each other 26 times between 6:15 to 6:41 Which of the above statements is/are correct? a) 1 only b) 2 only c) Both 1 and 2 d) Neither 1 пог 2 Correct Answer: C Explanation Statement 1: In 12 hours, all 3 hands will coincide 11 times. They will coincide only once between 11 p.m. and 1 a.m. But in all other instances, they will meet once per hour. Hence, statement 1 is correct. Statement 2: The minute hand and second hand of a clock cross each other 1 time every minute after 6:15. Thus, they will cross each other 26 times. Hence, statement 2 is correct. Incorrect Answer: C Explanation Statement 1: In 12 hours, all 3 hands will coincide 11 times. They will coincide only once between 11 p.m. and 1 a.m. But in all other instances, they will meet once per hour. Hence, statement 1 is correct. Statement 2: The minute hand and second hand of a clock cross each other 1 time every minute after 6:15. Thus, they will cross each other 26 times. Hence, statement 2 is correct.
#### 4. Question
Consider the following statements:
• In a 12-hour clock the hour, the minute, and the second hands of the clock will coincide 11 times from 6 p.m. of present-day to 6 a.m. of next day.
• The minute hand and second hand of a clock cross each other 26 times between 6:15 to 6:41
Which of the above statements is/are correct?
• c) Both 1 and 2
• d) Neither 1 пог 2
Explanation
Statement 1: In 12 hours, all 3 hands will coincide 11 times. They will coincide only once between 11 p.m. and 1 a.m.
But in all other instances, they will meet once per hour. Hence, statement 1 is correct.
Statement 2: The minute hand and second hand of a clock cross each other 1 time every minute after 6:15. Thus, they will cross each other 26 times. Hence, statement 2 is correct.
Explanation
Statement 1: In 12 hours, all 3 hands will coincide 11 times. They will coincide only once between 11 p.m. and 1 a.m.
But in all other instances, they will meet once per hour. Hence, statement 1 is correct.
Statement 2: The minute hand and second hand of a clock cross each other 1 time every minute after 6:15. Thus, they will cross each other 26 times. Hence, statement 2 is correct.
• Question 5 of 5 5. Question At what angle are the hands of a clock inclined at 45 minutes past 7? a) 47.5° b) 27.5° c) 35.5° d) 37.5° Correct Answer: D Explanation Angle traced by hour hand in 1 hour = 360°/12 = 30° Angle traced by hour hand in7 hours 45 minutes i.e. (31/4) hours = 30° × (31/4) = 232.5° Angle traced by minute hand in 1 minute = 360°/60 = 6° Angle traced by minute hand in 45 minutes = 6°×45 = 270° Therefore, the required difference in angles = 270° – 232.5° = 37.5° Incorrect Answer: D Explanation Angle traced by hour hand in 1 hour = 360°/12 = 30° Angle traced by hour hand in7 hours 45 minutes i.e. (31/4) hours = 30° × (31/4) = 232.5° Angle traced by minute hand in 1 minute = 360°/60 = 6° Angle traced by minute hand in 45 minutes = 6°×45 = 270° Therefore, the required difference in angles = 270° – 232.5° = 37.5°
#### 5. Question
At what angle are the hands of a clock inclined at 45 minutes past 7?
Explanation
Angle traced by hour hand in 1 hour = 360°/12 = 30°
Angle traced by hour hand in7 hours 45 minutes i.e. (31/4) hours = 30° × (31/4) = 232.5°
Angle traced by minute hand in 1 minute = 360°/60 = 6°
Angle traced by minute hand in 45 minutes = 6°×45 = 270°
Therefore, the required difference in angles = 270° – 232.5° = 37.5°
Explanation
Angle traced by hour hand in 1 hour = 360°/12 = 30°
Angle traced by hour hand in7 hours 45 minutes i.e. (31/4) hours = 30° × (31/4) = 232.5°
Angle traced by minute hand in 1 minute = 360°/60 = 6°
Angle traced by minute hand in 45 minutes = 6°×45 = 270°
Therefore, the required difference in angles = 270° – 232.5° = 37.5°
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