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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?
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
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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?
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.
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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?
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.
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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?
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
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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?
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.
