Insta–DART (Daily Aptitude and Reasoning Test) 1 December 2020

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

Fresh grapes contain 80% water, while dry grapes contain 10% water. If the weight of dry grapes is 500 kg, then what is its total weight when it is fresh?

Correct

Answer : d

Let the weight of fresh grapes be x.

Quantity of water in it =80/100 * x =4x/5

Quantity of pulp in it = ( x – 4x/5 ) =x/5

Quantity of water in 500 kg dry grapes =10/100 *500 = 50 kg

∴Quantity of pulp in it = ( 500 – 50 ) = 450 kg

x/5=450

X=22550kg

Incorrect

Answer : d

Let the weight of fresh grapes be x.

Quantity of water in it =80/100 * x =4x/5

Quantity of pulp in it = ( x – 4x/5 ) =x/5

Quantity of water in 500 kg dry grapes =10/100 *500 = 50 kg

∴Quantity of pulp in it = ( 500 – 50 ) = 450 kg

x/5=450

X=22550kg

Question 2 of 5

2. Question

Due to a 25% increase in the price of rice per kilogram, a person is able to purchase 20 kg less for Rs. 400. What is the increased price of rice per kilogram?

Correct

Answer : a

Increase in the price of rice = 25%

∴Increase in Rs. 400 = 25% of Rs. 400

= 400 *25/100= Rs. 100

Because Increase in rate of rice in 25%, there are 20 kg less rice in Rs. 400 i.e., rate of 20 kg rice = Rs. 100

∴Rate of 1 kg rice = 100/20 = Rs. 5

∴Increased price of rice = Rs. 5 per kg

Incorrect

Answer : a

Increase in the price of rice = 25%

∴Increase in Rs. 400 = 25% of Rs. 400

= 400 *25/100= Rs. 100

Because Increase in rate of rice in 25%, there are 20 kg less rice in Rs. 400 i.e., rate of 20 kg rice = Rs. 100

∴Rate of 1 kg rice = 100/20 = Rs. 5

∴Increased price of rice = Rs. 5 per kg

Question 3 of 5

3. Question

The price of rice is reduced by 5%. How many kilograms of rice can now be bought for the money, which was sufficient to buy 50 kg of rice earlier?

Correct

Answer :a

Let original price be Rs. 100 per kg.

Money required to buy 50 kg of rice = Rs. ( 100 * 50 ) = Rs. 5000

New price = ( 100 – 5 ) = Rs. 95 per kg

∴Quantity of rice bought = (5000/95 ) kg

= 52.63 kg

Incorrect

Answer :a

Let original price be Rs. 100 per kg.

Money required to buy 50 kg of rice = Rs. ( 100 * 50 ) = Rs. 5000

New price = ( 100 – 5 ) = Rs. 95 per kg

∴Quantity of rice bought = (5000/95 ) kg

= 52.63 kg

Question 4 of 5

4. Question

The price of rice decreases by 6.25% and because of this reduction, Vandana is able to buy 1 kg more for Rs. 120. Find the reduced rate of rice.

Correct

Answer : a

Let original rate of rice be Rs. X per kg.

Reduced rate = Rs. [ ( 100 – 6.25 )* 1/100*x]

= Rs. 15x/16 per kg

According to the question,

120/(15/16)-120/x

(120*16)/15x-120/x=1

120 * 16 – 1800 = 15x

128 – 120 = x

X = Rs. 8 per kg

∴Reduced rate = Rs. (15/16*8 ) per kg

= Rs. 7.50 per kg

Incorrect

Answer : a

Let original rate of rice be Rs. X per kg.

Reduced rate = Rs. [ ( 100 – 6.25 )* 1/100*x]

= Rs. 15x/16 per kg

According to the question,

120/(15/16)-120/x

(120*16)/15x-120/x=1

120 * 16 – 1800 = 15x

128 – 120 = x

X = Rs. 8 per kg

∴Reduced rate = Rs. (15/16*8 ) per kg

= Rs. 7.50 per kg

Question 5 of 5

5. Question

Due to an increase of 30% in the price of eggs, 6 eggs less are available for Rs. 7.80. The present rate of eggs per dozen is

Correct

Answer :b

Let the original price per egg be x.

Then, increased price = Rs. (130/100)x

According to the question, 7.80/x-7.80/(130x/100)= 6