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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
A mixture of 125 gallons of wine and water contains 20% water. How much water must be added to the mixture in order to increase the percentage of water to 25% of the new mixture
Correct
Ans-d
In 125 gallons we have 25 gallons water and 100 gallons wine. To increase the percentage of water to 25%, we need to reduce the percentage of wine to =75%. This means that 100 gallons of wine 75% of the new mixture. Thus the total mixture =133.33 gallons. Thus, we need to mx 133.33 – 125 = 8.33
gallons of water in order to make the water equivalent to 25% of the mixture.
Incorrect
Ans-d
In 125 gallons we have 25 gallons water and 100 gallons wine. To increase the percentage of water to 25%, we need to reduce the percentage of wine to =75%. This means that 100 gallons of wine 75% of the new mixture. Thus the total mixture =133.33 gallons. Thus, we need to mx 133.33 – 125 = 8.33
gallons of water in order to make the water equivalent to 25% of the mixture.
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Question 2 of 5
2. Question
A dishonest milkman purchased milk at Rs. 10 Per litre and mixed 5 1litres of water in it. By selling the mixture at the rate of Rs. 10 per litre he earns a profit of 25%. The quantity of the amount of the mixture that he had was:
Correct
Ans-c
The cost price of the mixture would have been Rs. 8 per litre for him to get a profit of 25% by selling at Rs. 10 per litre. The ratio of mixing would have been 1:4 (water is to milk) as can be seen in the figure:
Since we are putting in 5 litres of water, the amount of milk must be 20 litres. The amount of mixture then would become 25 litres.
Incorrect
Ans-c
The cost price of the mixture would have been Rs. 8 per litre for him to get a profit of 25% by selling at Rs. 10 per litre. The ratio of mixing would have been 1:4 (water is to milk) as can be seen in the figure:
Since we are putting in 5 litres of water, the amount of milk must be 20 litres. The amount of mixture then would become 25 litres.
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Question 3 of 5
3. Question
The average score of a class of 40 students is 52. What will be the average score of the rest of the students if the average score of 10 of the students is 61.
Correct
Ans-d
10x 61 + 30 x A = 40 x 52 → A = (2080 – 610 )/30 = 1470 /30 = 49
Incorrect
Ans-d
10x 61 + 30 x A = 40 x 52 → A = (2080 – 610 )/30 = 1470 /30 = 49
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Question 4 of 5
4. Question
The average weight of 6 persons is increased by 2.5 kg when one of them whose weight is 50 kg is replaced by a new man. The weight of the new man is
Correct
Ans-a
The total weight of the six people goes up by 15 kgs (when the average for 6 persons goes up by 2.5 kg). Thus, the new person must be 15 kgs more than the person who he replaces. Hence, the new person’s
weight = 50 + 15 = 65 kg.
Incorrect
Ans-a
The total weight of the six people goes up by 15 kgs (when the average for 6 persons goes up by 2.5 kg). Thus, the new person must be 15 kgs more than the person who he replaces. Hence, the new person’s
weight = 50 + 15 = 65 kg.
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Question 5 of 5
5. Question
Ajit Tendulkar has a certain average for 9 innings. In the tenth inning, he scores 100 runs thereby increasing his average by 8 runs. His new average is
Correct
Ans-c
9x + 100 = 10(x + 8) → x= 20 (average after 9 innings). Hence, new average =20 +8 =28.
Incorrect
Ans-c
9x + 100 = 10(x + 8) → x= 20 (average after 9 innings). Hence, new average =20 +8 =28.
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