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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.
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Question 1 of 5
1. Question
A man earned ₹ 6,435, ₹ 6,927, ₹ 7,230, and ₹ 6562 in 5 consecutive months. In order to have an average earning of ₹ 6500 how much should he earn in the 6th month?
Correct
Answer: a) ₹ 4,991
(Earnings in 5 months + Earning in 6th month) / 6 = ₹ 6,500
6,435 + 6,927 + 6,855 + 7,230 + 6,562 + 6th month earning = 6,500 × 6
34,009 + 6th month earning = 39,000
∴ 6th month earning = 39,000 – 34,009
= ₹ 4,991
Incorrect
Answer: a) ₹ 4,991
(Earnings in 5 months + Earning in 6th month) / 6 = ₹ 6,500
6,435 + 6,927 + 6,855 + 7,230 + 6,562 + 6th month earning = 6,500 × 6
34,009 + 6th month earning = 39,000
∴ 6th month earning = 39,000 – 34,009
= ₹ 4,991
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Question 2 of 5
2. Question
There are 25 students in a college. When a woman is replaced by a man with 72 kg, the average weight was increased by 1.2 kg. find the weight of the outgoing woman.
Correct
Answer: a) 42 kg
Let the average weight of 25 students be ‘x’ kg.
∴ Total weight of 25 students = 25x
(25x – Weight of outgoing woman + 72) / 25 = x + 1.2
25x + 72 – weight of outgoing woman = 25× (x + 1.2)
= 25x + 30
72 – Weight of outgoing woman = 30
∴ Weight of outgoing woman = 72 – 30 = 42 kg
Incorrect
Answer: a) 42 kg
Let the average weight of 25 students be ‘x’ kg.
∴ Total weight of 25 students = 25x
(25x – Weight of outgoing woman + 72) / 25 = x + 1.2
25x + 72 – weight of outgoing woman = 25× (x + 1.2)
= 25x + 30
72 – Weight of outgoing woman = 30
∴ Weight of outgoing woman = 72 – 30 = 42 kg
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Question 3 of 5
3. Question
On an average 510 persons visit a library on Sundays. And on the remaining days it is 240. What is the average number of visitors in a month of 30 days beginning with Sunday?
Correct
Answer: d) 285
Since the month begins with a Sunday, there will be 5 Sundays in that month (1st, 8th, 15th, 22nd and 29th)
Numbers of visitors on Sundays = 5 × 510 = 2550
Numbers of visitors on the remaining 25 days = 25 × 240 = 6000
∴ Total number of visitors = 2550 + 6000 = 8550
Average number of visitors = 8550/30 = 285
Incorrect
Answer: d) 285
Since the month begins with a Sunday, there will be 5 Sundays in that month (1st, 8th, 15th, 22nd and 29th)
Numbers of visitors on Sundays = 5 × 510 = 2550
Numbers of visitors on the remaining 25 days = 25 × 240 = 6000
∴ Total number of visitors = 2550 + 6000 = 8550
Average number of visitors = 8550/30 = 285
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Question 4 of 5
4. Question
A batsman has a certain average after 9 innings. By scoring 100 runs in his 10th innings he observed that his average increasing by 8 runs. Find his new average.
Correct
Let his average score after 9 innings be ‘ x ‘.
Total score in 9 innings = 9x.
Average score of 10 innings = ( 9x + 100 )/10
\ (9x + 100 /10) = x + 8
9x + 100 = 10x + 80
20 = x
∴ His new average = x + 8 = 20 + 8 = 28
∴ Ans. c) 28
Incorrect
Let his average score after 9 innings be ‘ x ‘.
Total score in 9 innings = 9x.
Average score of 10 innings = ( 9x + 100 )/10
\ (9x + 100 /10) = x + 8
9x + 100 = 10x + 80
20 = x
∴ His new average = x + 8 = 20 + 8 = 28
∴ Ans. c) 28
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Question 5 of 5
5. Question
Sumitra has scored 56% marks in the first 7 exams. 8th exam to get overall average score of 60%?
Correct
Sumitra’s total score in the first 7 exams = 7 *56 = 392
(392 + Her score in the 8th exam)/ 8 = 60
∴The required score in the 8th exam = 60 * 8 – 392
= 480 – 392
= 88
∴Ans. a) 88%
Incorrect
Sumitra’s total score in the first 7 exams = 7 *56 = 392
(392 + Her score in the 8th exam)/ 8 = 60
∴The required score in the 8th exam = 60 * 8 – 392
= 480 – 392
= 88
∴Ans. a) 88%
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