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
20 men complete one-third of a work in 20 days. How many more men should be employed to finish the rest of work in 25 more days?
Correct
Answer : b
Given, M1 = 20
M2 = 20 +x
W1 = (1/3), W2 = 1-(1/3) = (2/3)
D1 = 20 and D2 = 25
According to the formula, M1 D1 W2 = M2 D2 W1
20 *20*(2/3) = (20 + x ) * 25 *(1/3)
20* 20* (2/3) = (20 + x)* (25/3)
16 * 2 = 20 + x
∴X = 32 – 20 = 12
Incorrect
Answer : b
Given, M1 = 20
M2 = 20 +x
W1 = (1/3), W2 = 1-(1/3) = (2/3)
D1 = 20 and D2 = 25
According to the formula, M1 D1 W2 = M2 D2 W1
20 *20*(2/3) = (20 + x ) * 25 *(1/3)
20* 20* (2/3) = (20 + x)* (25/3)
16 * 2 = 20 + x
∴X = 32 – 20 = 12
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Question 2 of 5
2. Question
15 men complete a work in 16 days. If 24 men are employed, then the time required to complete that work will be
Correct
Answer : c
Let the work done by 1 work.
Here, M1 = 15 , D1 = 16 , W1 = W2 = 1
M2 = 24, D2 = ?
∴According to the formula,
M1 D1 W2 = M2 D2 W1
15* 16 *1 = 24* D2 *1
∴D1 = [(15 * 16 )/24] = 10
Therefore, 10 days are required to complete the work.
Incorrect
Answer : c
Let the work done by 1 work.
Here, M1 = 15 , D1 = 16 , W1 = W2 = 1
M2 = 24, D2 = ?
∴According to the formula,
M1 D1 W2 = M2 D2 W1
15* 16 *1 = 24* D2 *1
∴D1 = [(15 * 16 )/24] = 10
Therefore, 10 days are required to complete the work.
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Question 3 of 5
3. Question
20 workers working for 5 h per day complete a work in 10 days. If 25 workers are employed to work 10 h per day, what is the time required to complete the work?
Correct
Answer : a
Given, M1 = 20, M2 = 25, T1 =5, T2 =10
D1 = 10 and D2 =?
According to the formula,
M1 T1 D1 = M2 T2 D2 [ by Technique 1]
20 * 5 * 10 = 25 * 10 * D2
D2 = [(20 *5 * 10)/(25* 10)] = 4 days
Incorrect
Answer : a
Given, M1 = 20, M2 = 25, T1 =5, T2 =10
D1 = 10 and D2 =?
According to the formula,
M1 T1 D1 = M2 T2 D2 [ by Technique 1]
20 * 5 * 10 = 25 * 10 * D2
D2 = [(20 *5 * 10)/(25* 10)] = 4 days
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Question 4 of 5
4. Question
A certain number of men can do a piece of work in 80 days. If there were 10 men less, It could be finished in 20 days more. How many men are there in the starting?
Correct
Answer : b
Let original number of men = X
Time taken by x = 80 days
Now, (x -10) men can finish the work n
(80+ 20) = 100 days
Here, M =x, M2 = (x – 10), D1 = B0
and D2= 100
According to the formula,
M1 D1 = M2 D2
x*80= 100* (x -10)
8x= 10x -100
10x-8x = 100
∴ X= 50
Incorrect
Answer : b
Let original number of men = X
Time taken by x = 80 days
Now, (x -10) men can finish the work n
(80+ 20) = 100 days
Here, M =x, M2 = (x – 10), D1 = B0
and D2= 100
According to the formula,
M1 D1 = M2 D2
x*80= 100* (x -10)
8x= 10x -100
10x-8x = 100
∴ X= 50
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Question 5 of 5
5. Question
A stock of food is enough for 240 men for 48 days. How long will the same stock last for 160 men?
Correct
Answer : d
Given, M1 = 240, D1 = 48, M2 = 160 and D2 =?
According to the formula,
M1 * D1 = M2 D2
240 X 48 = 160 x D2
∴D2 = [(240 48)/160] = 72
Incorrect
Answer : d
Given, M1 = 240, D1 = 48, M2 = 160 and D2 =?
According to the formula,
M1 * D1 = M2 D2
240 X 48 = 160 x D2
∴D2 = [(240 48)/160] = 72
