UPSC Insta–DART (Daily Aptitude and Reasoning Test) 9 Oct 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 Abhi invested some amount on scheme ‘P’ which offer CI at the rate of 15% p.a.. After 2 years he got Rs. 1032 as interest. Abhi invest the amount he got from scheme ‘P’ in scheme ‘Q’ which offer 15% p.a. at SI for 4 years. Find the total interest he earned from scheme P and scheme Q together? a) 3571.2 b) 3715.2 c) 3148 d) 3379.2 Correct Solution: Option (a) Explanation: Let, sum Abhi have initially = 100x 100x × (115/100) × (115/100) -100x = 1032 132.25x – 100x = 1032 ⇒ x = 1032/32.25 = 32 Amount initially Abhi have = 3200 Interest earned from scheme Q = (4232×15×4)/100 = 2539.2 Required amount = 2539.2 + 1032 = 3571.2 Incorrect Solution: Option (a) Explanation: Let, sum Abhi have initially = 100x 100x × (115/100) × (115/100) -100x = 1032 132.25x – 100x = 1032 ⇒ x = 1032/32.25 = 32 Amount initially Abhi have = 3200 Interest earned from scheme Q = (4232×15×4)/100 = 2539.2 Required amount = 2539.2 + 1032 = 3571.2
#### 1. Question
Abhi invested some amount on scheme ‘P’ which offer CI at the rate of 15% p.a.. After 2 years he got Rs. 1032 as interest. Abhi invest the amount he got from scheme ‘P’ in scheme ‘Q’ which offer 15% p.a. at SI for 4 years. Find the total interest he earned from scheme P and scheme Q together?
Solution: Option (a)
Explanation:
Let, sum Abhi have initially = 100x
100x × (115/100) × (115/100) -100x = 1032
132.25x – 100x = 1032
⇒ x = 1032/32.25 = 32
Amount initially Abhi have = 3200
Interest earned from scheme Q = (4232×15×4)/100 = 2539.2
Required amount = 2539.2 + 1032 = 3571.2
Solution: Option (a)
Explanation:
Let, sum Abhi have initially = 100x
100x × (115/100) × (115/100) -100x = 1032
132.25x – 100x = 1032
⇒ x = 1032/32.25 = 32
Amount initially Abhi have = 3200
Interest earned from scheme Q = (4232×15×4)/100 = 2539.2
Required amount = 2539.2 + 1032 = 3571.2
• Question 2 of 5 2. Question Raheem invested Rs.x in simple interest at the rate of 12% per annum for 5 years and Sameer invested Rs.(x + 1000) in compound interest at the rate of 10% per annum for two years. If Raheem received the interest amount is Rs.1350 more than that of Sameer, then find the value of x. a) 4000 b) 4500 c) 4600 d) 4200 Correct Solution: Option (a) Explanation: SI = P N R/100 CI = P (1 + R/100)n – P SI = x 12 5/100 = 0.6x CI = (x + 1000) (1 + 10/100)2 – (x + 1000) = 21/100 (x + 1000) 0.6x – 21x/100 – 210 = 1350 60x – 21x – 21000 = 135000 x = Rs.4000 Incorrect Solution: Option (a) Explanation: SI = P N R/100 CI = P (1 + R/100)n – P SI = x 12 5/100 = 0.6x CI = (x + 1000) (1 + 10/100)2 – (x + 1000) = 21/100 (x + 1000) 0.6x – 21x/100 – 210 = 1350 60x – 21x – 21000 = 135000 x = Rs.4000
#### 2. Question
Raheem invested Rs.x in simple interest at the rate of 12% per annum for 5 years and Sameer invested Rs.(x + 1000) in compound interest at the rate of 10% per annum for two years. If Raheem received the interest amount is Rs.1350 more than that of Sameer, then find the value of x.
Solution: Option (a)
Explanation:
SI = P N R/100
CI = P * (1 + R/100)n – P
SI = x 12 5/100 = 0.6x
CI = (x + 1000) * (1 + 10/100)2 – (x + 1000)
= 21/100 * (x + 1000)
0.6x – 21x/100 – 210 = 1350
60x – 21x – 21000 = 135000
x = Rs.4000
Solution: Option (a)
Explanation:
SI = P N R/100
CI = P * (1 + R/100)n – P
SI = x 12 5/100 = 0.6x
CI = (x + 1000) * (1 + 10/100)2 – (x + 1000)
= 21/100 * (x + 1000)
0.6x – 21x/100 – 210 = 1350
60x – 21x – 21000 = 135000
x = Rs.4000
• Question 3 of 5 3. Question If a certain sum of money quadruples (becomes 4 times its original value) in 4 years under compound interest, how many years will it take for the amount to become 64 times the original value? a) 10 years b) 11 years c) 12 years d) 13 years Correct Solution: Option (c) Explanation: P (1 + R/100)4 = 4P (1 + R/100)4 = 4 ((1 + R/100)4)3 = 43 P (1 + R/100)12 = 64P n = 12 years Incorrect Solution: Option (c) Explanation: P (1 + R/100)4 = 4P (1 + R/100)4 = 4 ((1 + R/100)4)3 = 43 P (1 + R/100)12 = 64P n = 12 years
#### 3. Question
If a certain sum of money quadruples (becomes 4 times its original value) in 4 years under compound interest, how many years will it take for the amount to become 64 times the original value?
• a) 10 years
• b) 11 years
• c) 12 years
• d) 13 years
Solution: Option (c)
Explanation:
P * (1 + R/100)4 = 4P
(1 + R/100)4 = 4
((1 + R/100)4)3 = 43
P * (1 + R/100)12 = 64P
n = 12 years
Solution: Option (c)
Explanation:
P * (1 + R/100)4 = 4P
(1 + R/100)4 = 4
((1 + R/100)4)3 = 43
P * (1 + R/100)12 = 64P
n = 12 years
• Question 4 of 5 4. Question Divide Rs. 11000 into two parts such that the amount of simple interest earned on the first part over 3 years at an annual interest rate of 5% equals the amount of simple interest earned on the second part over 2 years at an annual interest rate of 9%. Find the values of the two parts. a) Rs. 6000, Rs. 5000 b) Rs. 5000, Rs. 4000 c) Rs. 4000, Rs. 3000 d) Rs. 6000, Rs. 7000 Correct Solution: Option (b) Explanation: Let two parts be x and 11000 – x (x35)/100 = [(11000 – x)92]/100 15x = 198000 – 18x 33x = 198000 x = 198000/33 = 6000 Two parts are Rs. 6000 and Rs. 5000 Incorrect Solution: Option (b) Explanation: Let two parts be x and 11000 – x (x35)/100 = [(11000 – x)92]/100 15x = 198000 – 18x 33x = 198000 x = 198000/33 = 6000 Two parts are Rs. 6000 and Rs. 5000
#### 4. Question
Divide Rs. 11000 into two parts such that the amount of simple interest earned on the first part over 3 years at an annual interest rate of 5% equals the amount of simple interest earned on the second part over 2 years at an annual interest rate of 9%. Find the values of the two parts.
• a) Rs. 6000, Rs. 5000
• b) Rs. 5000, Rs. 4000
• c) Rs. 4000, Rs. 3000
• d) Rs. 6000, Rs. 7000
Solution: Option (b)
Explanation:
Let two parts be x and 11000 – x
(x35)/100 = [(11000 – x)92]/100
15x = 198000 – 18x
33x = 198000
x = 198000/33 = 6000
Two parts are Rs. 6000 and Rs. 5000
Solution: Option (b)
Explanation:
Let two parts be x and 11000 – x
(x35)/100 = [(11000 – x)92]/100
15x = 198000 – 18x
33x = 198000
x = 198000/33 = 6000
Two parts are Rs. 6000 and Rs. 5000
• Question 5 of 5 5. Question Usha invests Rs.x in a simple interest scheme at the rate of 19% per annum for 4 years. After 4 years, he received the interest is Rs.(1872 + x/2). If Sujay invests Rs.x in a compound interest scheme at the rate of 20% per annum for 2 years, then find the total amount earned by Sujay after 2 years? a) Rs.10468 b) Rs.10168 c) Rs.10368 d) Rs.10268 Correct Solution: Option (d) Explanation: (1872 + x/2) = x 19 4/100 46800 + 12.5x = 19x x = 7200 CA received by Sujay = 7200 (1 + 20/100)2 = Rs.10368 Incorrect Solution: Option (d) Explanation: (1872 + x/2) = x 19 4/100 46800 + 12.5x = 19x x = 7200 CA received by Sujay = 7200 (1 + 20/100)2 = Rs.10368
#### 5. Question
Usha invests Rs.x in a simple interest scheme at the rate of 19% per annum for 4 years. After 4 years, he received the interest is Rs.(1872 + x/2). If Sujay invests Rs.x in a compound interest scheme at the rate of 20% per annum for 2 years, then find the total amount earned by Sujay after 2 years?
• a) Rs.10468
• b) Rs.10168
• c) Rs.10368
• d) Rs.10268
Solution: Option (d)
Explanation:
(1872 + x/2) = x 19 4/100
46800 + 12.5x = 19x
CA received by Sujay = 7200 * (1 + 20/100)2 = Rs.10368
Solution: Option (d)
Explanation:
(1872 + x/2) = x 19 4/100
46800 + 12.5x = 19x
CA received by Sujay = 7200 * (1 + 20/100)2 = Rs.10368
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