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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.
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Question 1 of 5
1. Question
A man purchased a cow and a calf for Rs. 1300. He sold the calf at a profit of 20% and the cow at a profit of 25%. In this way, his total profit was 23%. Find the cost price of the cow.
Correct
Ans-800
The ratio of the cost of the cow and the calf would be 40:25 or 8:5 as can be seen from the following alligation figure:
Thus, the cost of the cow would be Rs. 800.
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Question 2 of 5
2. Question
How many kilograms of sugar worth 3.60 per kg Should be mixed with 8 kg of sugar worth Rs. 4.20 per kg, such that by selling the mixture at Rs. 4.40 per kg, there may be a gain of 10%?
Correct
Ans-d
Since by selling at Rs. 4.40 we want a profit of 10%, it means that the average cost required is RS. 4 per kg. Mixing sugar worth Rs. 3.6/kg and Rs. 4.2/kg to get 4/kg means a mixture ratio of 1:2. Thus, to 8 kg of the second variety we need to add 4 kg of the first variety to get the required cost price.
Incorrect
Ans-d
Since by selling at Rs. 4.40 we want a profit of 10%, it means that the average cost required is RS. 4 per kg. Mixing sugar worth Rs. 3.6/kg and Rs. 4.2/kg to get 4/kg means a mixture ratio of 1:2. Thus, to 8 kg of the second variety we need to add 4 kg of the first variety to get the required cost price.
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Question 3 of 5
3. Question
A vessel is full of refined oil. 1/4 of the refined oil is taken out and the vessel is filled with mustard oil. If the process is repeated 4 times and 10 litres of refined oil is finally left in the vessel, what is the capacity of the vessel?
Correct
Ans-c
Let the quantity of refined oil initially be O. Then we have Q x ¾ x ¾ x ¾ x ¾ = 10 -> Q = 2560/81 litres.
Incorrect
Ans-c
Let the quantity of refined oil initially be O. Then we have Q x ¾ x ¾ x ¾ x ¾ = 10 -> Q = 2560/81 litres.
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Question 4 of 5
4. Question
The price of sugar is reduced by 25% but inspite of the decrease, Aayush ends up increasing his expenditure on sugar by 20%. What is the percentage change in his monthly consumption of sugar?
Correct
Ans-a
We have assumed initial expenditure to be 100, in the above figure. Then the final expenditure is 120. The percentage change in consumption can be n to be 45/75 x 100= 60%
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Question 5 of 5
5. Question
The price of rice falls by 20%. How much rice can be bought now with the money that was sufficient to buy 20 kg of rice previously?
Correct
Ans-d
If the price of rice has fallen by 20% the quantity would be increased by 25% (if we keep the expenditure constant.)
This means that 20 kgs would increase by 25% to 25kgs.
Incorrect
Ans-d
If the price of rice has fallen by 20% the quantity would be increased by 25% (if we keep the expenditure constant.)
This means that 20 kgs would increase by 25% to 25kgs.
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