Insta–DART (Daily Aptitude and Reasoning Test) 2020 - 21
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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.
Looking forward to your enthusiastic participation (both in sending us questions and solving them on daily basis on this portal).
Wish you all the best ! 🙂
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Question 1 of 5
1. Question
The total number of runs scored by the three batsmen A, B and C is 190.
The runs scored by A and B are in the ratio 2:3
The runs scored by B and C are in the ratio 2:3
How many runs has C scored in that match?
Correct
solution-d
A:B = 2:3 = (2/3 )´(2/2)= (4/6) = 4:6
B:C = 2:3 = (2/3) ´(3/3)=(6/9) = 6:9
\A : B :C = 4 :6:9
Let the scores of A, B and C be 4x, 6x and 9x.
A+B+C = 190
4x+6x+9x = 190
19X = 190
X = (190/19)=10
∴The number of runs scored by C = 9x = 9´10 = 90
∴Ans.90
Incorrect
solution-d
A:B = 2:3 = (2/3 )´(2/2)= (4/6) = 4:6
B:C = 2:3 = (2/3) ´(3/3)=(6/9) = 6:9
\A : B :C = 4 :6:9
Let the scores of A, B and C be 4x, 6x and 9x.
A+B+C = 190
4x+6x+9x = 190
19X = 190
X = (190/19)=10
∴The number of runs scored by C = 9x = 9´10 = 90
∴Ans.90
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Question 2 of 5
2. Question
The salaries of A, B and C are in the ratio 2 :3:5. If the increment of 15%, are allowed respectively in their salaries, then what will be the new ratio of
Correct
Answer : c
The salaries of A, B and C = 2:3:5
= 100% 2 : 100% 3 : 100% 5
After increments their salaries = 115% of 2 : 110% 3 : 120% of 5
= 115 ´ 2 : 110 ´ 3 : 120 ´5
= 230 : 330 : 600
= 23:33:60
∴Ans. 23:33:60
Incorrect
Answer : c
The salaries of A, B and C = 2:3:5
= 100% 2 : 100% 3 : 100% 5
After increments their salaries = 115% of 2 : 110% 3 : 120% of 5
= 115 ´ 2 : 110 ´ 3 : 120 ´5
= 230 : 330 : 600
= 23:33:60
∴Ans. 23:33:60
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Question 3 of 5
3. Question
The speeds of three trains are in the ratio 3: 4: 5. The ratio between the times taken by them to travel a fixed distance is
Correct
Answer : c
LCM of 3, 4 and 5 is 60. Let the fixed distance be 60 kms.
The first train will take 20 hours to cover 60 kms
The second train will take 15 hours to cover 60 kms
The third train will take 12 hours to cover 60 kms
Ans. 20:15:12
Incorrect
Answer : c
LCM of 3, 4 and 5 is 60. Let the fixed distance be 60 kms.
The first train will take 20 hours to cover 60 kms
The second train will take 15 hours to cover 60 kms
The third train will take 12 hours to cover 60 kms
Ans. 20:15:12
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Question 4 of 5
4. Question
A sum of money is divided among A, B, C and D in the ratio of 3:7:9:13. If the shares of A and C is Rs.11,172, then what is the difference between the amounts of B and D?
Correct
Let the shares of A, B, C and D be 3x, 7x, 9x and 13x respectively.
The shares of A and C is 11,172
A +C = 3x + 9x = 11,172
12x = 11,172
x = ( 11,172/12)
x = 931
The difference between the amounts of B and D
= 13x – 7x
=6x
=6´931
=5586
Ans.Rs.5,586
Incorrect
Let the shares of A, B, C and D be 3x, 7x, 9x and 13x respectively.
The shares of A and C is 11,172
A +C = 3x + 9x = 11,172
12x = 11,172
x = ( 11,172/12)
x = 931
The difference between the amounts of B and D
= 13x – 7x
=6x
=6´931
=5586
Ans.Rs.5,586
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Question 5 of 5
5. Question
The ratio of number of boys and girls in a school of 720 students is 7:5. How many more girls should be admitted to make the ratio 1:1?
Correct
Answer : b
7 boys and 5 girls. Total 12 students
Number of boys = (7/12)´720 = 420 boys
Number of girls = 720 – boys = 720 – 420 = 300
420 : (300 + ?) =1:1
(420/300+?) = 1/1
420/(300+?) = 1/1
420 = 300+?
120 = ?
Ans.120
Incorrect
Answer : b
7 boys and 5 girls. Total 12 students
Number of boys = (7/12)´720 = 420 boys
Number of girls = 720 – boys = 720 – 420 = 300
420 : (300 + ?) =1:1
(420/300+?) = 1/1
420/(300+?) = 1/1
420 = 300+?
120 = ?
Ans.120
