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UPSC Insta–DART (Daily Aptitude and Reasoning Test) 29 Aug 2024

Kartavya Desk Staff

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 In a 180 liters mixture of milk and water, percentage of water is only 30%. The milkman give 36 liters of this mixture to a customer and then added 36 liters of water to the remaining mixture. What is the percentage of milk in the final mixture? a) 56% b) 40% c) 25% d) 77% Correct Answer: (a) 56% Explanation: Total mixture=180 liters 30% water means=54 liters Milk=180-54=126 liters 36 liters is 20% of the total mixture After removing 20% of mixture Remaining milk=126-25.2=100.80 liters Remaining water=54-10.80=43.92 liters On adding 36 liters of water, mixture again becomes=180 liters Percentage of milk=100.80100/180=56% Incorrect Answer: (a) 56% Explanation: Total mixture=180 liters 30% water means=54 liters Milk=180-54=126 liters 36 liters is 20% of the total mixture After removing 20% of mixture Remaining milk=126-25.2=100.80 liters Remaining water=54-10.80=43.92 liters On adding 36 liters of water, mixture again becomes=180 liters Percentage of milk=100.80100/180=56%

#### 1. Question

In a 180 liters mixture of milk and water, percentage of water is only 30%. The milkman give 36 liters of this mixture to a customer and then added 36 liters of water to the remaining mixture. What is the percentage of milk in the final mixture?

Answer: (a) 56%

Explanation:

Total mixture=180 liters

30% water means=54 liters

Milk=180-54=126 liters

36 liters is 20% of the total mixture

After removing 20% of mixture

Remaining milk=126-25.2=100.80 liters

Remaining water=54-10.80=43.92 liters

On adding 36 liters of water, mixture again becomes=180 liters

Percentage of milk=100.80*100/180=56%

Answer: (a) 56%

Explanation:

Total mixture=180 liters

30% water means=54 liters

Milk=180-54=126 liters

36 liters is 20% of the total mixture

After removing 20% of mixture

Remaining milk=126-25.2=100.80 liters

Remaining water=54-10.80=43.92 liters

On adding 36 liters of water, mixture again becomes=180 liters

Percentage of milk=100.80*100/180=56%

• Question 2 of 5 2. Question A number is such that when it is multiplied by ‘8’, it gives another number which as much more than 153 as the original number itself is less than 153. What is 50% of the original number? a) 17 b) 34 c) 51 d) 68 Correct Answer: (a) 17 Explanation: let the number be x according to the question, 8x-153=153-x On solving we get x=34 50% of that number is=17 Incorrect Answer: (a) 17 Explanation: let the number be x according to the question, 8x-153=153-x On solving we get x=34 50% of that number is=17

#### 2. Question

A number is such that when it is multiplied by ‘8’, it gives another number which as much more than 153 as the original number itself is less than 153. What is 50% of the original number?

Answer: (a) 17

Explanation:

let the number be x

according to the question,

8x-153=153-x

On solving we get x=34

50% of that number is=17

Answer: (a) 17

Explanation:

let the number be x

according to the question,

8x-153=153-x

On solving we get x=34

50% of that number is=17

• Question 3 of 5 3. Question Priya gave 30% of her money to Riya. Riya gave 2/3rd of what she received to her mother. Riya’s mother gave 5/8th of the money she received from Riya, to the grocer. Riya’s mother is now left with Rs.1200, how much money did Priya have initially? a) 8000 b) 16000 c) 6000 d) 12000 Correct Answer: (b) 16000 Explanation: Original amount with Priya =Rs. X Let amount received by: Riya=> 30x/100=Rs. 3x/10 Riya’s mother=> 2/3 3x/10=x/5 Grocer=>5/8x/5=Rs. x/8 According to the question, x/5 – x/8=1200 (8x-5x)/40 =1200 3x=48000 X=16000 Incorrect Answer: (b) 16000 Explanation: Original amount with Priya =Rs. X Let amount received by: Riya=> 30x/100=Rs. 3x/10 Riya’s mother=> 2/3 3x/10=x/5 Grocer=>5/8x/5=Rs. x/8 According to the question, x/5 – x/8=1200 (8x-5x)/40 =1200 3x=48000 X=16000

#### 3. Question

Priya gave 30% of her money to Riya. Riya gave 2/3rd of what she received to her mother. Riya’s mother gave 5/8th of the money she received from Riya, to the grocer. Riya’s mother is now left with Rs.1200, how much money did Priya have initially?

Answer: (b) 16000

Explanation:

Original amount with Priya =Rs. X

Let amount received by:

Riya=> 30x/100=Rs. 3x/10

Riya’s mother=> 2/3 *3x/10=x/5

Grocer=>5/8*x/5=Rs. x/8

According to the question,

x/5 – x/8=1200

(8x-5x)/40 =1200

Answer: (b) 16000

Explanation:

Original amount with Priya =Rs. X

Let amount received by:

Riya=> 30x/100=Rs. 3x/10

Riya’s mother=> 2/3 *3x/10=x/5

Grocer=>5/8*x/5=Rs. x/8

According to the question,

x/5 – x/8=1200

(8x-5x)/40 =1200

• Question 4 of 5 4. Question A person was earning Rs. 240 per day before an increase in his salary. After the increase, the number of hours on daily basis has been reduced by 16%. If the hourly wages of person is increased by 25%, then how much amount per day is he earning now? a) 252 b) 126 c) 250 d) 400 Correct Answer: (a) 252 Explanation: Let the original hourly wages and working hours be Rs. X and y hours respectively. Daily wages = hourly wagesworking hours , xy=Rs.240 New hourly wages=x125% And new working hours=y84% New daily wages=(1.25x) (0.84y)=1.05xy=1.05240=252 Incorrect Answer: (a) 252 Explanation: Let the original hourly wages and working hours be Rs. X and y hours respectively. Daily wages = hourly wagesworking hours , xy=Rs.240 New hourly wages=x125% And new working hours=y84% New daily wages=(1.25x) (0.84y)=1.05xy=1.05240=252

#### 4. Question

A person was earning Rs. 240 per day before an increase in his salary. After the increase, the number of hours on daily basis has been reduced by 16%. If the hourly wages of person is increased by 25%, then how much amount per day is he earning now?

Answer: (a) 252

Explanation:

Let the original hourly wages and working hours be Rs. X and y hours respectively.

Daily wages = hourly wages*working hours

, x*y=Rs.240

New hourly wages=x*125%

And new working hours=y*84%

New daily wages=(1.25x) (0.84y)=1.05xy=1.05240=252

Answer: (a) 252

Explanation:

Let the original hourly wages and working hours be Rs. X and y hours respectively.

Daily wages = hourly wages*working hours

, x*y=Rs.240

New hourly wages=x*125%

And new working hours=y*84%

New daily wages=(1.25x) (0.84y)=1.05xy=1.05240=252

• Question 5 of 5 5. Question In a village 60% votes were cast in an election. P and Q were the contestants. P won by 600 votes. if Q had got 40% more votes, there would have been a tie between them. Find the number of recognized votes in the village. a) 3500 b) 1500 c) 2000 d) 2500 Correct Answer:(a) 3500 Explanation: Let the number of recognized voters in the village be x. For candidates Q, 40%=300 100%=300/40 100=750 Votes got by P=750+600=1350 According to the question, 60x/100=1350 +750=2100 ,x=2100100/60 =3500 Incorrect Answer:(a) 3500 Explanation: Let the number of recognized voters in the village be x. For candidates Q, 40%=300 100%=300/40 100=750 Votes got by P=750+600=1350 According to the question, 60x/100=1350 +750=2100 ,x=2100100/60 =3500

#### 5. Question

In a village 60% votes were cast in an election. P and Q were the contestants. P won by 600 votes. if Q had got 40% more votes, there would have been a tie between them. Find the number of recognized votes in the village.

Answer:(a) 3500

Explanation:

Let the number of recognized voters in the village be x.

For candidates Q, 40%=300

100%=300/40 *100=750

Votes got by P=750+600=1350

According to the question,

60x/100=1350 +750=2100

,x=2100*100/60 =3500

Answer:(a) 3500

Explanation:

Let the number of recognized voters in the village be x.

For candidates Q, 40%=300

100%=300/40 *100=750

Votes got by P=750+600=1350

According to the question,

60x/100=1350 +750=2100

,x=2100*100/60 =3500

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