Insta–DART (Daily Aptitude and Reasoning Test) 2020 - 21
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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 merchant had 50 kg of pulse. He sells one part at a profit of 10% and other at 5% loss. Overall he had a gain of 7%. Find the quantity of pulses, which he sold at 10% profit and 5% loss.
Correct
Answer : a
According to the rule of alligation,
[- ve sign indicates loss]
∴Ratio of pulses sold at 10% profit and
5% loss = 12 : 3 = 4:1
∴Quantity of pulse sold at 10% profit = 4/(4+1)´50
= (4/5)´50 = 40 kg
and quantity of pulse sold at 5% loss
= 1/(4+1) ´50 = (1/5) ´50 = 10 kg
Incorrect
Answer : a
According to the rule of alligation,
[- ve sign indicates loss]
∴Ratio of pulses sold at 10% profit and
5% loss = 12 : 3 = 4:1
∴Quantity of pulse sold at 10% profit = 4/(4+1)´50
= (4/5)´50 = 40 kg
and quantity of pulse sold at 5% loss
= 1/(4+1) ´50 = (1/5) ´50 = 10 kg
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Question 2 of 5
2. Question
A goldsmith has two qualities of gold, one of 24 carats and another of 32 carats purity. In what proportion should he mix both to make an ornament of 30 carats purity?
Correct
Answer :a
According to the rule of alligation,
∴Required ratio = Part I : Part II = 2:6 = 1:3
Incorrect
Answer :a
According to the rule of alligation,
∴Required ratio = Part I : Part II = 2:6 = 1:3
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Question 3 of 5
3. Question
300 g of salt solution has 40% salt in it. How much salt should be added to make it 50% in the solution?
Correct
Answer :b
40% is salt in 300 g of salt solution.
Then, quantity of salt = (40´300)/100 = 120 g
Now, by the condition in the question,
(120 +x)/(300+x)=50/100
(120+x)/(300+x)=1/2
240+2x=300+x
x=60 g
Incorrect
Answer :b
40% is salt in 300 g of salt solution.
Then, quantity of salt = (40´300)/100 = 120 g
Now, by the condition in the question,
(120 +x)/(300+x)=50/100
(120+x)/(300+x)=1/2
240+2x=300+x
x=60 g
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Question 4 of 5
4. Question
600g of sugar solution has 40% sugar in it. How much sugar should be added to make it 50% in the solution?
Correct
Answer :b
The existing solution contains 40%
sugar and here sugar has to be mixed.
Therefore, the other solution has 100% sugar.
According to the rule of alligation,
Required ratio = 50 : 10 = 5:1
The two mixtures should be added in the
ratio of 5: 1.
∴Required sugar = (600/5)´1 = 120 g
Incorrect
Answer :b
The existing solution contains 40%
sugar and here sugar has to be mixed.
Therefore, the other solution has 100% sugar.
According to the rule of alligation,
Required ratio = 50 : 10 = 5:1
The two mixtures should be added in the
ratio of 5: 1.
∴Required sugar = (600/5)´1 = 120 g
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Question 5 of 5
5. Question
A milk seller has a milk of Rs. 100 per litre. In what ratio should water be mixed in that milk, so that after selling the mixture at Rs. 80 per litre, he may get a profit of 50%?
Correct
Answer : a
Here, SP of milk = Rs. 80
and gain = 50%
∴ CP of milk = (100 ´ 80)/150
[CP = ((100/(100 + gain%))´ SP)]
=₹ 160/3 per litre
According to rule of allegation,
∴ Water : Milk = 140/3 : 160/3
=14 : 16 = 7: 8
Incorrect
Answer : a
Here, SP of milk = Rs. 80
and gain = 50%
∴ CP of milk = (100 ´ 80)/150
[CP = ((100/(100 + gain%))´ SP)]
=₹ 160/3 per litre
According to rule of allegation,
∴ Water : Milk = 140/3 : 160/3
=14 : 16 = 7: 8
