UPSC Insta–DART (Daily Aptitude and Reasoning Test) 14 Feb 2025
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 Ram purchased two books A & B at a total cost of Rs. 900. After completion of semester exam, he sold them to a second hand book dealer at a loss of 10% and 20% respectively, and got a total of Rs. 760. What are the purchase costs of books A and B respectively? a) Rs. 400, Rs. 500 b) Rs. 500, Rs. 400 c) Rs. 600, Rs. 300 d) Rs. 550, Rs. 350 Correct Answer: A Explanation Let book A’s purchase cost = Rs. a So, Book B’s purchase cost = Rs. (900 – a) Book A is sold at a loss of 10 %, which means book is sold at 90% of cost price. Cost at which book A is sold = 0.9a Book B is sold at a loss of 20%, which means the book is sold at 80% of cost price. Cost at which book B is sold = 0.8 (900 – a) According to the question, 0.9a + 0.8(900- a) = 760 or 0.9a + 720 – 0.8a = 760 or 0.1a = 760 – 720 or a = 40/0.1 ∴ a = 400 Book A’s purchase cost = Rs. a = Rs. 400 Book B’s purchase cost = (900 – a) = 900 – 400 = Rs. 500 Incorrect Answer: A Explanation Let book A’s purchase cost = Rs. a So, Book B’s purchase cost = Rs. (900 – a) Book A is sold at a loss of 10 %, which means book is sold at 90% of cost price. Cost at which book A is sold = 0.9a Book B is sold at a loss of 20%, which means the book is sold at 80% of cost price. Cost at which book B is sold = 0.8 (900 – a) According to the question, 0.9a + 0.8(900- a) = 760 or 0.9a + 720 – 0.8a = 760 or 0.1a = 760 – 720 or a = 40/0.1 ∴ a = 400 Book A’s purchase cost = Rs. a = Rs. 400 Book B’s purchase cost = (900 – a) = 900 – 400 = Rs. 500
#### 1. Question
Ram purchased two books A & B at a total cost of Rs. 900. After completion of semester exam, he sold them to a second hand book dealer at a loss of 10% and 20% respectively, and got a total of Rs. 760. What are the purchase costs of books A and B respectively?
• a) Rs. 400, Rs. 500
• b) Rs. 500, Rs. 400
• c) Rs. 600, Rs. 300
• d) Rs. 550, Rs. 350
Explanation
Let book A’s purchase cost = Rs. a
So, Book B’s purchase cost = Rs. (900 – a)
Book A is sold at a loss of 10 %, which means book is sold at 90% of cost price.
Cost at which book A is sold = 0.9a
Book B is sold at a loss of 20%, which means the book is sold at 80% of cost price.
Cost at which book B is sold = 0.8 (900 – a)
According to the question,
0.9a + 0.8(900- a) = 760
or 0.9a + 720 – 0.8a = 760
or 0.1a = 760 – 720
or a = 40/0.1
Book A’s purchase cost = Rs. a = Rs. 400
Book B’s purchase cost = (900 – a) = 900 – 400 = Rs. 500
Explanation
Let book A’s purchase cost = Rs. a
So, Book B’s purchase cost = Rs. (900 – a)
Book A is sold at a loss of 10 %, which means book is sold at 90% of cost price.
Cost at which book A is sold = 0.9a
Book B is sold at a loss of 20%, which means the book is sold at 80% of cost price.
Cost at which book B is sold = 0.8 (900 – a)
According to the question,
0.9a + 0.8(900- a) = 760
or 0.9a + 720 – 0.8a = 760
or 0.1a = 760 – 720
or a = 40/0.1
Book A’s purchase cost = Rs. a = Rs. 400
Book B’s purchase cost = (900 – a) = 900 – 400 = Rs. 500
• Question 2 of 5 2. Question How many such prime numbers are there between 10 and 99 in which interchanging the digits produces the same number? a) 3 b) 1 c) 10 d) 2 Correct Answer: B Explanation List of prime numbers between 10 and 99: 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97 11 is the only number that satisfies the given condition. Incorrect Answer: B Explanation List of prime numbers between 10 and 99: 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97 11 is the only number that satisfies the given condition.
#### 2. Question
How many such prime numbers are there between 10 and 99 in which interchanging the digits produces the same number?
Explanation
List of prime numbers between 10 and 99:
11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97
11 is the only number that satisfies the given condition.
Explanation
List of prime numbers between 10 and 99:
11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97
11 is the only number that satisfies the given condition.
• Question 3 of 5 3. Question Rahul is as much younger than Kabir as he is older than Tanmay. If the sum of the ages of Kabir and Tanmay is 50 years, then what is the difference between Kabir and Rahul’s age? a) 3 years b) 5 years c) 7 years d) Data inadequate Correct Answer: D Explanation Here, the data is not sufficient to answer the question, because in the question the exact age difference between Rahul, Kabir and Tanmay is not given. Incorrect Answer: D Explanation Here, the data is not sufficient to answer the question, because in the question the exact age difference between Rahul, Kabir and Tanmay is not given.
#### 3. Question
Rahul is as much younger than Kabir as he is older than Tanmay. If the sum of the ages of Kabir and Tanmay is 50 years, then what is the difference between Kabir and Rahul’s age?
• a) 3 years
• b) 5 years
• c) 7 years
• d) Data inadequate
Explanation
Here, the data is not sufficient to answer the question, because in the question the exact age difference between Rahul, Kabir and Tanmay is not given.
Explanation
Here, the data is not sufficient to answer the question, because in the question the exact age difference between Rahul, Kabir and Tanmay is not given.
• Question 4 of 5 4. Question If in the year 2006 rate of simple interest is 20% per annum and rate of compound interest is 10% per annum, what will be the difference between interests earned by a money lender from simple interest and compound interest for a year? a) Rs. 30,000 b) Rs. 10,000 c) Rs. 20,000 d) Rs. 40,000 Correct Answer: C Explanation From the graph it is clear that amount lent on simple interest in year 2006 = Rs. 250000, rate of interest = 20 % per annum and time = 1 year Simple interest = (250000 × 20 × 1)/100 = Rs. 50000 Amount lent on compound interest in year 2006 = Rs. 300000, rate of interest = 10 % per annum and time = 1 year Compound interest = (300000 × 10 × 1) /100 = Rs. 30000 Difference between interests earned by money lender from simple interest and compound interest in year 2006 = 50000 – 30000 = Rs. 20,000 Incorrect Answer: C Explanation From the graph it is clear that amount lent on simple interest in year 2006 = Rs. 250000, rate of interest = 20 % per annum and time = 1 year Simple interest = (250000 × 20 × 1)/100 = Rs. 50000 Amount lent on compound interest in year 2006 = Rs. 300000, rate of interest = 10 % per annum and time = 1 year Compound interest = (300000 × 10 × 1) /100 = Rs. 30000 Difference between interests earned by money lender from simple interest and compound interest in year 2006 = 50000 – 30000 = Rs. 20,000
#### 4. Question
If in the year 2006 rate of simple interest is 20% per annum and rate of compound interest is 10% per annum, what will be the difference between interests earned by a money lender from simple interest and compound interest for a year?
• a) Rs. 30,000
• b) Rs. 10,000
• c) Rs. 20,000
• d) Rs. 40,000
Explanation
From the graph it is clear that amount lent on simple interest in year 2006 = Rs. 250000, rate of interest = 20 % per annum and time = 1 year
Simple interest = (250000 × 20 × 1)/100 = Rs. 50000
Amount lent on compound interest in year 2006 = Rs. 300000, rate of interest = 10 % per annum and time = 1 year
Compound interest = (300000 × 10 × 1) /100 = Rs. 30000
Difference between interests earned by money lender from simple interest and compound interest in year 2006 = 50000 – 30000 = Rs. 20,000
Explanation
From the graph it is clear that amount lent on simple interest in year 2006 = Rs. 250000, rate of interest = 20 % per annum and time = 1 year
Simple interest = (250000 × 20 × 1)/100 = Rs. 50000
Amount lent on compound interest in year 2006 = Rs. 300000, rate of interest = 10 % per annum and time = 1 year
Compound interest = (300000 × 10 × 1) /100 = Rs. 30000
Difference between interests earned by money lender from simple interest and compound interest in year 2006 = 50000 – 30000 = Rs. 20,000
• Question 5 of 5 5. Question There are six people – H, T, V, W, L and K of different heights. Only three people are taller than V. H is taller than T but shorter than W, who is not the tallest among them. Exactly one of H, T and W is shorter than V. T is not the shortest person. W is taller than K. How many people are taller than T? a) 2 b) 3 c) 4 d) None of these Correct Answer: C Explanation Only three people are taller than V. _ > _ > _ > V H is taller than T but shorter than W, who is not the tallest among them. T is not the shortest person. ….. W…. > H…. > T…. Exactly one of H, T and W is shorter than V. _ > W > H > V > T > _ W is taller than K. Therefore, we get: L > W > H > V > T > K Hence, there are 4 people taller than T. Incorrect Answer: C Explanation Only three people are taller than V. _ > _ > _ > V H is taller than T but shorter than W, who is not the tallest among them. T is not the shortest person. ….. W…. > H…. > T…. Exactly one of H, T and W is shorter than V. _ > W > H > V > T > _ W is taller than K. Therefore, we get: L > W > H > V > T > K Hence, there are 4 people taller than T.
#### 5. Question
There are six people – H, T, V, W, L and K of different heights. Only three people are taller than V. H is taller than T but shorter than W, who is not the tallest among them. Exactly one of H, T and W is shorter than V. T is not the shortest person. W is taller than K. How many people are taller than T?
• d) None of these
Explanation
Only three people are taller than V.
_ > _ > _ > V
H is taller than T but shorter than W, who is not the tallest among them. T is not the shortest person.
….. W…. > H…. > T….
Exactly one of H, T and W is shorter than V.
_ > W > H > V > T > _
W is taller than K. Therefore, we get:
L > W > H > V > T > K
Hence, there are 4 people taller than T.
Explanation
Only three people are taller than V.
_ > _ > _ > V
H is taller than T but shorter than W, who is not the tallest among them. T is not the shortest person.
….. W…. > H…. > T….
Exactly one of H, T and W is shorter than V.
_ > W > H > V > T > _
W is taller than K. Therefore, we get:
L > W > H > V > T > K
Hence, there are 4 people taller than T.
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