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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 10
1. Question
Direction for the following 3 (three) items: Consider the given information and answer the three items that follow:
There are eight members in a family in three generation i.e. P, Q, R, S, T, U, V and M. Among them there are only two married couples and only four males. R is married to P. Q is the only child of S. U is married and she has a mother-in-law. S is paternal grandmother of T. P is father of T’s mother and V. M is not a female member of a family. T is brother of M.
How is R related to M?
Correct
Solution: C
R is the maternal grandmother of M.
Incorrect
Solution: C
R is the maternal grandmother of M.
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Question 2 of 10
2. Question
How is P related to Q?
Correct
Solution: B
Therefore, P is father-in-law of Q.
Incorrect
Solution: B
Therefore, P is father-in-law of Q.
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Question 3 of 10
3. Question
Who among the following is mother of V?
Correct
Solution: A
R is the mother of V.
Incorrect
Solution: A
R is the mother of V.
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Question 4 of 10
4. Question
If all the digits of the number 47623951, are arranged in ascending order from left to right, then 2 is added to the first four digits from left to right of the number and 2 is subtracted to the remaining four digits of the number. Then how many digits are repeating in the number thus formed?
Correct
Solution: C
Given number: 47623951
After rearrangement in ascending order from left to right: 12345679
Adding 2 to first four numbers : 1234 -> 3456Subtracting 2 to remaining four numbers : 5679 -> 3457
Here, the numbers 3, 4, and 5 are repeated twice.
Thus, three numbers are repeated.
Incorrect
Solution: C
Given number: 47623951
After rearrangement in ascending order from left to right: 12345679
Adding 2 to first four numbers : 1234 -> 3456Subtracting 2 to remaining four numbers : 5679 -> 3457
Here, the numbers 3, 4, and 5 are repeated twice.
Thus, three numbers are repeated.
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Question 5 of 10
5. Question
Ramesh is facing south. He turns right and walks 40 metre. Then he turns right again and walks 20 metre. Then he turns left and walks 20 metre and then turning right walk 40 metre. Then he turns right again and walks 120 metre. In which direction he is from the starting point?
Correct
Solution: B
By drawing the diagram we can say that Ramesh is in north east direction of his original position.
Incorrect
Solution: B
By drawing the diagram we can say that Ramesh is in north east direction of his original position.
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Question 6 of 10
6. Question
Find the number of ways of arranging the letters of the word “MATERIAL” such that all the vowels in the word are to come together?
Correct
Solution: B
In the word, “MATERIAL” there are three vowels A, I, E.
If all the vowels are together, the arrangement is MTRL’AAEI’.
Consider AAEI as one unit. The arrangement is as follows.
M T R L A A E I
The above 5 items can be arranged in 5! ways and AAEI can be arranged among themselves in 4!/2! ways.
Number of required ways of arranging the above letters = 5! * 4!/2!
= (120 * 24)/2 = 1440 ways.
Incorrect
Solution: B
In the word, “MATERIAL” there are three vowels A, I, E.
If all the vowels are together, the arrangement is MTRL’AAEI’.
Consider AAEI as one unit. The arrangement is as follows.
M T R L A A E I
The above 5 items can be arranged in 5! ways and AAEI can be arranged among themselves in 4!/2! ways.
Number of required ways of arranging the above letters = 5! * 4!/2!
= (120 * 24)/2 = 1440 ways.
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Question 7 of 10
7. Question
The sum of digits of two digit number is 10 and difference between the digits is 2. Find the two digit number?
Correct
Solution: B
It is better to answer this kind of question through options.
Let the unit digit of number be: y, and tenth digit number be: x
Therefore, two digit number = 10x + y
Now, it is given that x+y = 10 —(1)
And x-y = 2 ….(2)
Now, adding Eqn (1) and (2), we get 2x= 12 or x= 6
Substituting the value of any of the eqn we get y= 4
Therefore number = 10 * 6 + 4 = 64.
Incorrect
Solution: B
It is better to answer this kind of question through options.
Let the unit digit of number be: y, and tenth digit number be: x
Therefore, two digit number = 10x + y
Now, it is given that x+y = 10 —(1)
And x-y = 2 ….(2)
Now, adding Eqn (1) and (2), we get 2x= 12 or x= 6
Substituting the value of any of the eqn we get y= 4
Therefore number = 10 * 6 + 4 = 64.
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Question 8 of 10
8. Question
A can do a work in 21 days and B can do the same work in 14 days, working together in how many days they would complete the work?
Correct
Solution: C
Let the work done by A for one day = 1/21
Let the work done by B for one day = 1/14.
Therefore, when they work together, their work for one day = 1/21 + 1/14
= (2+3)/42 or 5/42
Therefore, time taken to complete the work = 42/5 = 8. 4 days.
Incorrect
Solution: C
Let the work done by A for one day = 1/21
Let the work done by B for one day = 1/14.
Therefore, when they work together, their work for one day = 1/21 + 1/14
= (2+3)/42 or 5/42
Therefore, time taken to complete the work = 42/5 = 8. 4 days.
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Question 9 of 10
9. Question
The number obtained by interchanging the digits of a two digit number is less than the original number by 18. If sum of the digits is 6, what was the original two digit number?
Correct
Solution: C
Let the original number be 10x + y.
Number obtained by interchanging the digits = 10y + x
∴ (10x + y) – (10y + x) = 18
Or, x – y = 2 … (i)
Also, x + y = 6 … (ii)
From equations (i) and (ii),
x = 4 and y = 2.
∴ Original number = (10 x 4) + 2 = 42
Incorrect
Solution: C
Let the original number be 10x + y.
Number obtained by interchanging the digits = 10y + x
∴ (10x + y) – (10y + x) = 18
Or, x – y = 2 … (i)
Also, x + y = 6 … (ii)
From equations (i) and (ii),
x = 4 and y = 2.
∴ Original number = (10 x 4) + 2 = 42
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Question 10 of 10
10. Question
The ratio of two numbers is 2:3 and the sum of their cubes is 945. Find the difference between two numbers?
Correct
Solution: B
Let the two numbers be 2x and 3x
Therefore (2x)³ + (3x)³ = 945
Or 8x³+ 27x³ = 945
Or x³ = 945/35 = 27
Therefore, x= 3
Difference between two numbers = 3x – 2x =x
Or Difference = 3
Incorrect
Solution: B
Let the two numbers be 2x and 3x
Therefore (2x)³ + (3x)³ = 945
Or 8x³+ 27x³ = 945
Or x³ = 945/35 = 27
Therefore, x= 3
Difference between two numbers = 3x – 2x =x
Or Difference = 3
