UPSC Insta–DART (Daily Aptitude and Reasoning Test) 10 Sep 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 Difference between total CI and total SI on a certain sum at 20% per annum for 2 years is Rs 840. What will be the simple interest earned on same sum at 25% per annum for 3 years? a) 15750 b) 16000 c) 12570 d) 25700 Correct Answer: (a) 15750 Explanation: CI-SI =for two years=p(r/100)2 =840 =p20/100 20/100=840 On solving we get, P=21000 SI for 21000=2100025/1003=15750 Incorrect Answer: (a) 15750 Explanation: CI-SI =for two years=p(r/100)2 =840 =p20/100 20/100=840 On solving we get, P=21000 SI for 21000=2100025/1003=15750
#### 1. Question
Difference between total CI and total SI on a certain sum at 20% per annum for 2 years is Rs 840. What will be the simple interest earned on same sum at 25% per annum for 3 years?
Answer: (a) 15750
Explanation:
CI-SI =for two years=p*(r/100)2 =840
=p20/100 20/100=840
On solving we get, P=21000
SI for 21000=2100025/1003=15750
Answer: (a) 15750
Explanation:
CI-SI =for two years=p*(r/100)2 =840
=p20/100 20/100=840
On solving we get, P=21000
SI for 21000=2100025/1003=15750
• Question 2 of 5 2. Question Difference of the compound interest received in first year and second year at 20% per annum at CI is Rs 2400 then find the sum? a) 60000 b) 30000 c) 50000 d) 40000 Correct Answer: (a) 60000 Explanation: Let the sum be=Rs 100x CI in first year=Rs=20x CI in two years=44% of 100x=Rs. 44x Compound interest in second year =44x-20x=24x ATQ 24x-20x=2400 X=600 Required sum=Rs.60000 Incorrect Answer: (a) 60000 Explanation: Let the sum be=Rs 100x CI in first year=Rs=20x CI in two years=44% of 100x=Rs. 44x Compound interest in second year =44x-20x=24x ATQ 24x-20x=2400 X=600 Required sum=Rs.60000
#### 2. Question
Difference of the compound interest received in first year and second year at 20% per annum at CI is Rs 2400 then find the sum?
Answer: (a) 60000
Explanation:
Let the sum be=Rs 100x
CI in first year=Rs=20x
CI in two years=44% of 100x=Rs. 44x
Compound interest in second year =44x-20x=24x
24x-20x=2400
Required sum=Rs.60000
Answer: (a) 60000
Explanation:
Let the sum be=Rs 100x
CI in first year=Rs=20x
CI in two years=44% of 100x=Rs. 44x
Compound interest in second year =44x-20x=24x
24x-20x=2400
Required sum=Rs.60000
• Question 3 of 5 3. Question Samarth invested Rs.75000 in a scheme offering R% p.a. SI for 5 years and Rs.50000 in another scheme offering 12%p.a. Cl compounding annually for 2 years. If difference in 2nd year Cl and 2nd year SI is Rs.2220, then find value of R%. a) 7% b) 4% c) 5% d) 6% Correct Answer: (d) 6% Explanation: 2nd year CI=(50000(1+12/100)2 -50000)-(5000012/100) =12720-6000=6720 Now second year SI =6720-2220=Rs. 4500 Now R=4500/75000 100 = 6% Incorrect Answer: (d) 6% Explanation: 2nd year CI=(50000(1+12/100)2 -50000)-(5000012/100) =12720-6000=6720 Now second year SI =6720-2220=Rs. 4500 Now R=4500/75000 100 = 6%
#### 3. Question
Samarth invested Rs.75000 in a scheme offering R% p.a. SI for 5 years and Rs.50000 in another scheme offering 12%p.a. Cl compounding annually for 2 years. If difference in 2nd year Cl and 2nd year SI is Rs.2220, then find value of R%.
Answer: (d) 6%
Explanation:
2nd year CI=(50000(1+12/100)2 -50000)-(50000*12/100)
=12720-6000=6720
Now second year SI =6720-2220=Rs. 4500
Now R=4500/75000 *100 = 6%
Answer: (d) 6%
Explanation:
2nd year CI=(50000(1+12/100)2 -50000)-(50000*12/100)
=12720-6000=6720
Now second year SI =6720-2220=Rs. 4500
Now R=4500/75000 *100 = 6%
• Question 4 of 5 4. Question The difference between total SI earned on Rs. ‘P’ at 12% p. a for 3 years and total Cl earned on same sum at 15% p. a for 2 years when compounded annually is Rs.750 Find P? (in Rs.) Total SI=P123/100=36P/100 Rs. a) 20000 b) 10000 c) 25000 d) 30000 Correct Answer: (a) 20000 Explanation: Effective rate of interest for CI at 15% p. a compounding annually for 2 years =15+15+(1515)/100 =32.25% Total CI=P32.25P/100 Rs. ATQ, 36P/100 -32.25P/100 =750 P=20000 Incorrect Answer: (a) 20000 Explanation: Effective rate of interest for CI at 15% p. a compounding annually for 2 years =15+15+(1515)/100 =32.25% Total CI=P32.25P/100 Rs. ATQ, 36P/100 -32.25P/100 =750 P=20000
#### 4. Question
The difference between total SI earned on Rs. ‘P’ at 12% p. a for 3 years and total Cl earned on same sum at 15% p. a for 2 years when compounded annually is Rs.750 Find P? (in Rs.)
Total SI=P123/100=36P/100 Rs.
Answer: (a) 20000
Explanation:
Effective rate of interest for CI at 15% p. a compounding annually for 2 years
=15+15+(15*15)/100 =32.25%
Total CI=P*32.25P/100 Rs.
ATQ, 36P/100 -32.25P/100 =750
Answer: (a) 20000
Explanation:
Effective rate of interest for CI at 15% p. a compounding annually for 2 years
=15+15+(15*15)/100 =32.25%
Total CI=P*32.25P/100 Rs.
ATQ, 36P/100 -32.25P/100 =750
• Question 5 of 5 5. Question The difference between the compound and simple interest on a sum of money for 2 years at 6(1/4)% per annum is Rs. 20. The sum is a) 5120 b) 2500 c) 1290 d) 2400 Correct Answer: (a) 5120 Explanation: Difference between CI and SI for 2 years=PR2 /1002 Here difference =Rs. 20, R=25/4 % per annum 20=P[25/4100]2 =5120 Incorrect Answer: (a) 5120 Explanation: Difference between CI and SI for 2 years=PR2 /1002 Here difference =Rs. 20, R=25/4 % per annum 20=P[25/4100]2 =5120
#### 5. Question
The difference between the compound and simple interest on a sum of money for 2 years at 6(1/4)% per annum is Rs. 20. The sum is
Answer: (a) 5120
Explanation:
Difference between CI and SI for 2 years=PR2 /1002
Here difference =Rs. 20, R=25/4 % per annum
20=P[25/4100]2 =5120
Answer: (a) 5120
Explanation:
Difference between CI and SI for 2 years=PR2 /1002
Here difference =Rs. 20, R=25/4 % per annum
20=P[25/4100]2 =5120
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