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
The average of three numbers p, q and r is k. p is 5 more than the average and q is 3 less than the average. What is the value of r?
Correct
Answer: (a)
Explanation
Let p = k + 5 and q = k − 3Given average = k
So, (p + q + r)/3 = k
⇒ {(k + 5) + (k − 3) + r}/3 = k
⇒ (2k + 2 + r)/3 = k
⇒ 2k + 2 + r = 3k
⇒ r = k − 2Incorrect
Answer: (a)
Explanation
Let p = k + 5 and q = k − 3Given average = k
So, (p + q + r)/3 = k
⇒ {(k + 5) + (k − 3) + r}/3 = k
⇒ (2k + 2 + r)/3 = k
⇒ 2k + 2 + r = 3k
⇒ r = k − 2 -
Question 2 of 5
2. Question
A person bought a washing machine worth ₹20,000 with 10% interest compounded yearly. At the end of the first year, he paid ₹6,000, and at the end of the second year, he paid ₹7,200. How much will he have to pay at the end of the third year to clear the debt?
Correct
Answer: (a)
Solution:
Given:
Principal = 20,000
Rate = 10%After 1st year:
Interest = 10% of 20,000 = 2,000
Total = 22,000Payment made = 6,000
Remaining = 22,000 − 6,000 = 16,000After 2nd year:
Interest = 10% of 16,000 = 1,600
Total = 17,600Payment made = 7,200
Remaining = 17,600 − 7,200 = 10,400After 3rd year:
Interest = 10% of 10,400 = 1,040
Total amount = 10,400 + 1,040 = ₹11,440Incorrect
Answer: (a)
Solution:
Given:
Principal = 20,000
Rate = 10%After 1st year:
Interest = 10% of 20,000 = 2,000
Total = 22,000Payment made = 6,000
Remaining = 22,000 − 6,000 = 16,000After 2nd year:
Interest = 10% of 16,000 = 1,600
Total = 17,600Payment made = 7,200
Remaining = 17,600 − 7,200 = 10,400After 3rd year:
Interest = 10% of 10,400 = 1,040
Total amount = 10,400 + 1,040 = ₹11,440 -
Question 3 of 5
3. Question
A student typed counting numbers on the computer. The computer showed that the student has typed 189 digits. Find the last counting number.
Correct
Answer: (c)
Explanation
Digits from 1 to 9 = 9Digits from 10 to 99 = 180
Total digits till 99 = 189
So, last number typed = 99
Incorrect
Answer: (c)
Explanation
Digits from 1 to 9 = 9Digits from 10 to 99 = 180
Total digits till 99 = 189
So, last number typed = 99
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Question 4 of 5
4. Question
Consider the following relationships among members of a family of six persons P, Q, R, S, T and U:
- The number of males equals that of females.
- P and T are sons of U.
- R is the mother of two, one boy and one girl.
- Q is the daughter of P.
- There is only one married couple in the family at present.
Which one of the following inferences can be drawn from the above?
Correct
Answer: (a)
Solution:
Given that,
From statements 2 and 4: P and T are sons of U, and Q is the daughter of P.
So, P and T are males, and Q is female.
From statement 1, the number of males equals the number of females. Hence among the remaining members R, S and U, there must be two females and one male. But since U is the mother of P and T, U is female. Also, R is the mother of two, so R is female. Therefore, S is male.
Thus, males are P, T and S; females are Q, R and U.
From statement 3: R is the mother of two, one boy and one girl. One child is already Q, who is a girl. Therefore, the other child must be a boy, namely S.
Now statement 5 says that there is only one married couple in the family. Since Q is daughter of P and R is mother of Q and S, the only possible married couple is P and R.
Hence, option (a) is correct.
Incorrect
Answer: (a)
Solution:
Given that,
From statements 2 and 4: P and T are sons of U, and Q is the daughter of P.
So, P and T are males, and Q is female.
From statement 1, the number of males equals the number of females. Hence among the remaining members R, S and U, there must be two females and one male. But since U is the mother of P and T, U is female. Also, R is the mother of two, so R is female. Therefore, S is male.
Thus, males are P, T and S; females are Q, R and U.
From statement 3: R is the mother of two, one boy and one girl. One child is already Q, who is a girl. Therefore, the other child must be a boy, namely S.
Now statement 5 says that there is only one married couple in the family. Since Q is daughter of P and R is mother of Q and S, the only possible married couple is P and R.
Hence, option (a) is correct.
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Question 5 of 5
5. Question
Four friends—Priya, Arjun, Meera, and Karan—each buys a different type of gadget: a laptop, a tablet, a smartphone, and a smartwatch. Each purchases the gadget in a different city: Delhi, Jaipur, Pune, and Hyderabad (not necessarily in that order).
Consider the following clues:
- Priya bought her gadget in Jaipur, but it is not a laptop.
- The tablet was bought in Hyderabad.
- Arjun purchased a smartwatch, but not in Delhi.
- Meera did not buy the smartphone.
- The laptop was not bought in Pune.
Who bought which gadget and in which city?
Correct
Answer: (a)
Explanation
Priya is in Jaipur and not laptop.
Arjun has smartwatch and not Delhi.
Tablet is in Hyderabad.
Meera did not buy smartphone.
Laptop is not in Pune.Now check option (a):
- Priya: smartphone in Jaipur → satisfies clue 1
- Arjun: smartwatch in Pune → satisfies clue 3
- Meera: tablet in Hyderabad → satisfies clue 2 and clue 4
- Karan: laptop in Delhi → satisfies clue 5
All clues are satisfied.
Hence, option (a) is correct.
Incorrect
Answer: (a)
Explanation
Priya is in Jaipur and not laptop.
Arjun has smartwatch and not Delhi.
Tablet is in Hyderabad.
Meera did not buy smartphone.
Laptop is not in Pune.Now check option (a):
- Priya: smartphone in Jaipur → satisfies clue 1
- Arjun: smartwatch in Pune → satisfies clue 3
- Meera: tablet in Hyderabad → satisfies clue 2 and clue 4
- Karan: laptop in Delhi → satisfies clue 5
All clues are satisfied.
Hence, option (a) is correct.
