UPSC Insta–DART (Daily Aptitude and Reasoning Test) 8 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 A sum of Rs. 5000 deposited at compound interest triples after every 4 years. Consider the following statements: After 12 years it would be 21 times the original amount. After 16 years it would be Rs. 405000. Which of the above statements is/are correct? a) 1 only b) 2 only c) Both 1 and 2 d) Neither 1 nor 2 Correct Answer: Option (b) Explanation: Let principal = x It becomes 3x in 4 years. It becomes 9x in next 4 years, i.e. in 8 years. It becomes 27x in next 4 years, i.e. in 12 years. It becomes 81x in next 4 years, i.e. in 16 years. From S1: From above we know that after 12 years it would become 27 times the original amount. So, S1 is not correct. From S2: After 16 years it would be ₹405000. Principal = ₹5000 A/P = 405000/5000 = 81 Thus, after 16 years, amount will be 81 times the original amount. So, S2 is correct. Hence, option (b) is the correct answer. Incorrect Answer: Option (b) Explanation: Let principal = x It becomes 3x in 4 years. It becomes 9x in next 4 years, i.e. in 8 years. It becomes 27x in next 4 years, i.e. in 12 years. It becomes 81x in next 4 years, i.e. in 16 years. From S1: From above we know that after 12 years it would become 27 times the original amount. So, S1 is not correct. From S2: After 16 years it would be ₹405000. Principal = ₹5000 A/P = 405000/5000 = 81 Thus, after 16 years, amount will be 81 times the original amount. So, S2 is correct. Hence, option (b) is the correct answer.
#### 1. Question
A sum of Rs. 5000 deposited at compound interest triples after every 4 years. Consider the following statements:
• After 12 years it would be 21 times the original amount.
• After 16 years it would be Rs. 405000.
Which of the above statements is/are correct?
• c) Both 1 and 2
• d) Neither 1 nor 2
Answer: Option (b)
Explanation:
Let principal = x
It becomes 3x in 4 years.
It becomes 9x in next 4 years, i.e. in 8 years.
It becomes 27x in next 4 years, i.e. in 12 years.
It becomes 81x in next 4 years, i.e. in 16 years.
From above we know that after 12 years it would become 27 times the original amount. So, S1 is not correct.
After 16 years it would be ₹405000.
Principal = ₹5000
A/P = 405000/5000 = 81
Thus, after 16 years, amount will be 81 times the original amount. So, S2 is correct. Hence, option (b) is the correct answer.
Answer: Option (b)
Explanation:
Let principal = x
It becomes 3x in 4 years.
It becomes 9x in next 4 years, i.e. in 8 years.
It becomes 27x in next 4 years, i.e. in 12 years.
It becomes 81x in next 4 years, i.e. in 16 years.
From above we know that after 12 years it would become 27 times the original amount. So, S1 is not correct.
After 16 years it would be ₹405000.
Principal = ₹5000
A/P = 405000/5000 = 81
Thus, after 16 years, amount will be 81 times the original amount. So, S2 is correct. Hence, option (b) is the correct answer.
• Question 2 of 5 2. Question Which of the following works is considered the oldest extant literary work in Tamil? a) Rs. 6,724 b) Rs. 5,724 c) Rs. 25,724 d) Rs. 26,724 Correct Solution: Option (b) Explanation: Rate of simple interest = Interest x 100 / Principal x time = 10800×100/22500×4 = 12% Compound interest = Principal [(1+rate/100)time-1] = 22500[(1+12/100)2-1] = 22500 [(1+3/25)2-1] = 22500[(28/25)2-1] = 22500 [(784/625)-1] = 22500x(159/625)= Rs. 5,724 Hence, option (b) is the correct answer. Incorrect Solution: Option (b) Explanation: Rate of simple interest = Interest x 100 / Principal x time = 10800×100/22500×4 = 12% Compound interest = Principal [(1+rate/100)time-1] = 22500[(1+12/100)2-1] = 22500 [(1+3/25)2-1] = 22500[(28/25)2-1] = 22500 [(784/625)-1] = 22500x(159/625)= Rs. 5,724 Hence, option (b) is the correct answer.
#### 2. Question
Which of the following works is considered the oldest extant literary work in Tamil?
• a) Rs. 6,724
• b) Rs. 5,724
• c) Rs. 25,724
• d) Rs. 26,724
Solution: Option (b)
Explanation:
Rate of simple interest =
Interest x 100 / Principal x time
= 10800×100/22500×4 = 12%
Compound interest = Principal [(1+rate/100)time-1]
= 22500[(1+12/100)2-1]
= 22500 [(1+3/25)2-1]
= 22500[(28/25)2-1] = 22500 [(784/625)-1]
= 22500x(159/625)= Rs. 5,724 Hence, option (b) is the correct answer.
Solution: Option (b)
Explanation:
Rate of simple interest =
Interest x 100 / Principal x time
= 10800×100/22500×4 = 12%
Compound interest = Principal [(1+rate/100)time-1]
= 22500[(1+12/100)2-1]
= 22500 [(1+3/25)2-1]
= 22500[(28/25)2-1] = 22500 [(784/625)-1]
= 22500x(159/625)= Rs. 5,724 Hence, option (b) is the correct answer.
• Question 3 of 5 3. Question Vishal got prize money of Rs. 10000. He invested a part of his money in Share market at the rate of 5% p.a. simple interest and the rest at DBI at the rate of 9% p.a. simple interest. If he gets Rs. 2400 for three years, what is the amount invested in Share market? a) 7500 b) 4000 c) 3500 d) 2500 Correct Answer: Option (d) Explanation: Let P be the amount invested in Share market. Then, (P 3 5)/100 + {(10000-P) 3 9}/100 = 2400 15P + 270000 – 27P = 240000 12P = 30000 P = 2500 Incorrect Answer: Option (d) Explanation: Let P be the amount invested in Share market. Then, (P 3 5)/100 + {(10000-P) 3 9}/100 = 2400 15P + 270000 – 27P = 240000 12P = 30000 P = 2500
#### 3. Question
Vishal got prize money of Rs. 10000. He invested a part of his money in Share market at the rate of 5% p.a. simple interest and the rest at DBI at the rate of 9% p.a. simple interest. If he gets Rs. 2400 for three years, what is the amount invested in Share market?
Answer: Option (d)
Explanation:
Let P be the amount invested in Share market.
(P 3 5)/100 + {(10000-P) 3 9}/100 = 2400
15P + 270000 – 27P = 240000
12P = 30000
P = 2500
Answer: Option (d)
Explanation:
Let P be the amount invested in Share market.
(P 3 5)/100 + {(10000-P) 3 9}/100 = 2400
15P + 270000 – 27P = 240000
12P = 30000
P = 2500
• Question 4 of 5 4. Question Two statements are given below followed by a question. Which of the following statements is/are required to answer the question? S1: Total interest earned was Rs. 6500 S2: Sum was invested for 6 years Question: What is the rate of simple interest? a) Statement 1 alone is sufficient to answer the question, but statement 2 alone is not sufficient to answer the question. b) Statement 2 alone is sufficient to answer the question, while statement 1 alone is not sufficient to answer the question. c) Either statement 1 alone or statement 2 alone is sufficient to answer the question. d) Both statements taken together are not sufficient to answer the question. Correct Answer: Option (d) Explanation: We know that R = (100 × SI)/ P × T Statement I gives SI only. Statement II gives T = 6 years But P is unknown. So, we cannot find R. Therefore, given data is insufficient to find the value of R. Hence, option (d) is the correct answer. Incorrect Answer: Option (d) Explanation: We know that R = (100 × SI)/ P × T Statement I gives SI only. Statement II gives T = 6 years But P is unknown. So, we cannot find R. Therefore, given data is insufficient to find the value of R. Hence, option (d) is the correct answer.
#### 4. Question
Two statements are given below followed by a question. Which of the following statements is/are required to answer the question?
S1: Total interest earned was Rs. 6500
S2: Sum was invested for 6 years
Question: What is the rate of simple interest?
• a) Statement 1 alone is sufficient to answer the question, but statement 2 alone is not sufficient to answer the question.
• b) Statement 2 alone is sufficient to answer the question, while statement 1 alone is not sufficient to answer the question.
• c) Either statement 1 alone or statement 2 alone is sufficient to answer the question.
• d) Both statements taken together are not sufficient to answer the question.
Answer: Option (d)
Explanation:
We know that
R = (100 × SI)/ P × T
Statement I gives SI only.
Statement II gives T = 6 years
But P is unknown. So, we cannot find R.
Therefore, given data is insufficient to find the value of R. Hence, option (d) is the correct answer.
Answer: Option (d)
Explanation:
We know that
R = (100 × SI)/ P × T
Statement I gives SI only.
Statement II gives T = 6 years
But P is unknown. So, we cannot find R.
Therefore, given data is insufficient to find the value of R. Hence, option (d) is the correct answer.
• Question 5 of 5 5. Question Shikha invested Rs.32000 at simple interest for 2 years at the rate of R% and gets an interest of Rs.8000. If he invested total amount (Principle + Interest) in a scheme, which offered compound interest at the rate of (R%+2.5%) then find total compound interest obtained by Shikha after 2 years? a) Rs.12900 b) Rs.12800 c) Rs.12000 d) Rs.12600 Correct Answer: Option (a) Explanation: Let shikha invested at the rate of R% R = (8000×100)/(32000×2) R = 12.5% New Rate = 12.5 + 2.5 = 15% Total amount = 32000 + 8000 = 40000 Rs. Equivalent CI of two years at the rate of 15% = 15 + 15 + [(15×15)/100] = 32.25% Required compound interest = 40000 × (32.25/100) = Rs.12900 Hence, option (a) is the correct answer. Incorrect Answer: Option (a) Explanation: Let shikha invested at the rate of R% R = (8000×100)/(32000×2) R = 12.5% New Rate = 12.5 + 2.5 = 15% Total amount = 32000 + 8000 = 40000 Rs. Equivalent CI of two years at the rate of 15% = 15 + 15 + [(15×15)/100] = 32.25% Required compound interest = 40000 × (32.25/100) = Rs.12900 Hence, option (a) is the correct answer.
#### 5. Question
Shikha invested Rs.32000 at simple interest for 2 years at the rate of R% and gets an interest of Rs.8000. If he invested total amount (Principle + Interest) in a scheme, which offered compound interest at the rate of (R%+2.5%) then find total compound interest obtained by Shikha after 2 years?
• a) Rs.12900
• b) Rs.12800
• c) Rs.12000
• d) Rs.12600
Answer: Option (a)
Explanation:
Let shikha invested at the rate of R%
R = (8000×100)/(32000×2)
New Rate = 12.5 + 2.5 = 15%
Total amount = 32000 + 8000 = 40000 Rs.
Equivalent CI of two years at the rate of 15%
= 15 + 15 + [(15×15)/100] = 32.25%
Required compound interest = 40000 × (32.25/100) = Rs.12900 Hence, option (a) is the correct answer.
Answer: Option (a)
Explanation:
Let shikha invested at the rate of R%
R = (8000×100)/(32000×2)
New Rate = 12.5 + 2.5 = 15%
Total amount = 32000 + 8000 = 40000 Rs.
Equivalent CI of two years at the rate of 15%
= 15 + 15 + [(15×15)/100] = 32.25%
Required compound interest = 40000 × (32.25/100) = Rs.12900 Hence, option (a) is the correct answer.
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