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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).
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Question 1 of 5
1. Question
If you write down all the numbers from 1 to 100, then how many times do you write 3?
Correct
Ans: c
Clearly, from 1 to 100, there are ten numbers are ten numbers with 3 as the unit’s digit-3, 13, 23, 33, 43, 53, 68, 73, 83, 93; and ten numbers with 3 as the ten’s digit-30, 31, 32, 33, 34, 35, 36, 37, 38, 39.
So, required number 10 + 10 = 20.
Incorrect
Ans: c
Clearly, from 1 to 100, there are ten numbers are ten numbers with 3 as the unit’s digit-3, 13, 23, 33, 43, 53, 68, 73, 83, 93; and ten numbers with 3 as the ten’s digit-30, 31, 32, 33, 34, 35, 36, 37, 38, 39.
So, required number 10 + 10 = 20.
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Question 2 of 5
2. Question
The total number of digits used in numbering the pages of a book having 366 pages is
Correct
Ans : b
Total number of digits
= (No. of digits in 1-digit page nos. + No. of digits in 2-digit page nos. + No. of digits in 3-digit page nos.)
(1×9+2x 90 +3x 267) = (9+ 180+801)= 990
Incorrect
Ans : b
Total number of digits
= (No. of digits in 1-digit page nos. + No. of digits in 2-digit page nos. + No. of digits in 3-digit page nos.)
(1×9+2x 90 +3x 267) = (9+ 180+801)= 990
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Question 3 of 5
3. Question
A printer numbers the pages of a book starting with and uses 3189 digits in all. How many pages does the book have?
Correct
Ans: b
No. of digits in 1-digit page nos. = 1×9 9.
No. of digits in 2-digit page nos.= 2x 90= 180.
No. of digits in 3-digit page nos. = 3 x 900 = 2700.
No. of digits in 4-digit page nos. =3189 -(9+ 180+2700) =3189 -2889 =300.
∴No. of pages with 4-digit page nos.
=[300/4]=75
Hence, total number of pages = (999+ 75)=1074.
Incorrect
Ans: b
No. of digits in 1-digit page nos. = 1×9 9.
No. of digits in 2-digit page nos.= 2x 90= 180.
No. of digits in 3-digit page nos. = 3 x 900 = 2700.
No. of digits in 4-digit page nos. =3189 -(9+ 180+2700) =3189 -2889 =300.
∴No. of pages with 4-digit page nos.
=[300/4]=75
Hence, total number of pages = (999+ 75)=1074.
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Question 4 of 5
4. Question
In a garden, there are 10 rows and 12 columns of mango trees. The distance between the two trees is 2 metres and a distance of one metre is left from all sides of the boundary of the garden. The length of the garden is
Correct
Ans : b
Each row contains 12 plants.
Leaving 2 corner plants, 10 plants in between
have (10x 2) metres and 1 metre on each side
is left.
∴Length = (20 + 2) m =22 m.
Incorrect
Ans : b
Each row contains 12 plants.
Leaving 2 corner plants, 10 plants in between
have (10x 2) metres and 1 metre on each side
is left.
∴Length = (20 + 2) m =22 m.
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Question 5 of 5
5. Question
A farmer built a fence around his square plot. He used 27 fence poles on each side of the square. How many poles did he need altogether?
Correct
Ans: b
Since each pole at the corner of the plot is common to its two sides, s0 we have:
Total number of poles needed =27 x4 -4
= 108-4= 104.
Incorrect
Ans: b
Since each pole at the corner of the plot is common to its two sides, s0 we have:
Total number of poles needed =27 x4 -4
= 108-4= 104.
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