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
X can do 1/4 of a work in 10 days, Y can do 40% of the same work in 40 days and Z can do 1/3 of the work in 13 days. Who Will complete the work first?
Correct
Answer : c
Time taken to complete the work by X
= 10 x 4 = 40 days
Time taken to complete the work by Y
Y = 40 (100/40) =100 days
Time taken to complete the work by z
= 13 x 3 = 39 days
Hence, Z will complete the work first.
Incorrect
Answer : c
Time taken to complete the work by X
= 10 x 4 = 40 days
Time taken to complete the work by Y
Y = 40 (100/40) =100 days
Time taken to complete the work by z
= 13 x 3 = 39 days
Hence, Z will complete the work first.
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Question 2 of 5
2. Question
5 men start working to complete a work in 15 days. After 5 days, 10 women are accompanied by them to complete the work in next 5 days. If the work is to be done by Women only, when could the work be over, if 10 women have started it?
Correct
Answer : c
According to the question,
5 men’s 1 day’s work= (1/15) ………………………..(1)
5 men’s 5 day’s work= (1/15)* 5 = 1/3
Remaining work = 1 – (1/3) = (2/3)
5 men + 10 women can do (2/3)of the work in 5 days.
5 men +10 women can do the whole of
the work in (15/2)days.
(5 men + 10 women’s) 1 day’s work = (2/15) ……………….(2)
10 women’s 1 day’s work
= (2/15)-5 men’s 1 day’s work
=(2/15)-(1/15)=(1/15)
∴10 women can finish the work in 15 days.
Incorrect
Answer : c
According to the question,
5 men’s 1 day’s work= (1/15) ………………………..(1)
5 men’s 5 day’s work= (1/15)* 5 = 1/3
Remaining work = 1 – (1/3) = (2/3)
5 men + 10 women can do (2/3)of the work in 5 days.
5 men +10 women can do the whole of
the work in (15/2)days.
(5 men + 10 women’s) 1 day’s work = (2/15) ……………….(2)
10 women’s 1 day’s work
= (2/15)-5 men’s 1 day’s work
=(2/15)-(1/15)=(1/15)
∴10 women can finish the work in 15 days.
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Question 3 of 5
3. Question
4 men or 6 women or 10 children can paint a house in 5 days. The painting is given to a couple and their 5 sons. They finish the job in
Correct
Answer : b
4 men= 6 women = 10 children
1 man = (5/2)children
1 women = (5/3) children
Now, 1 couple + 5 children
=1 man + 1 woman + 5 children
= [(5/2)+(5/3)+5]=(55/6) children
According to the formula,
M1 D1 = M2 D2
10 * 5 = (55/6)*D2
∴D2 = (60/11)=5(5/11)days
Incorrect
Answer : b
4 men= 6 women = 10 children
1 man = (5/2)children
1 women = (5/3) children
Now, 1 couple + 5 children
=1 man + 1 woman + 5 children
= [(5/2)+(5/3)+5]=(55/6) children
According to the formula,
M1 D1 = M2 D2
10 * 5 = (55/6)*D2
∴D2 = (60/11)=5(5/11)days
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Question 4 of 5
4. Question
4 goats or 6 sheeps can graze a field in 50 days. 2 goats and 9 sheeps can graze the field in
Correct
Answer : d
Part of field grazed by 4 goats in 1 day = (1/50)
Part of field grazed by 1 goat in 1 day = (1/(50 *4)=(1/200)
4g=6s [here, g=goats, and s= sheeps ]
1s = (4/6)g=(2/3)g
Now 2g+9s=2g+9*2/3goat
Now, 2g + 6g=8g
∴8 goats can graze the field in
[(1/8) /200]= 25 days
Incorrect
Answer : d
Part of field grazed by 4 goats in 1 day = (1/50)
Part of field grazed by 1 goat in 1 day = (1/(50 *4)=(1/200)
4g=6s [here, g=goats, and s= sheeps ]
1s = (4/6)g=(2/3)g
Now 2g+9s=2g+9*2/3goat
Now, 2g + 6g=8g
∴8 goats can graze the field in
[(1/8) /200]= 25 days
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Question 5 of 5
5. Question
If 14 men and 12 boys can finish work in 4 days, while 8 men and 16 boys can finish the same work in 5 days. Compare the 1 day work of 1 man and 1 boy.
Correct
Answer :a
Here, a1= 14, b1 = 12, x = 4, a2 =8
B2= 16 and y = 5
[(One day work of 1 man )/(One day work of 1 boy)]=[(yb2-xb1)/(xa1-ya2)
=(5* 16 – 4 * 12)/(4* 14-5 * 8)
= (80-48)/(56-40)=(32/16)=(2/1)
Incorrect
Answer :a
Here, a1= 14, b1 = 12, x = 4, a2 =8
B2= 16 and y = 5
[(One day work of 1 man )/(One day work of 1 boy)]=[(yb2-xb1)/(xa1-ya2)
=(5* 16 – 4 * 12)/(4* 14-5 * 8)
= (80-48)/(56-40)=(32/16)=(2/1)
