Cat 2009 Quant Test 21
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Quant Test 21 Directions for Questions from 1 to 2: Each question is followed by two statements, A and B. Answer each question using the following instructions: Mark Mark Mark Mark Mark
(1) (2) (3) (4) (5)
If If If If If
the the the the the
question question question question question
can be answered by using the statement A alone but not by using the statement B alone. can be answered by using the statement B alone but not by using the statement A alone. can be answered by using either of the statements alone. can be answered by using both the statements together but not by either of the statements alone. cannot be answered on the basis of the two statements.
1. Points P and Q lie on the diagonal BD of rectangle ABCD. Find the area of rectangle ABCD. A: The lengths of perpendiculars dropped from P on AD and BC are 2 cm and 4 cm respectively. The lengths of perpendiculars dropped from Q on BC and CD are 3 cm and 4 cm respectively. B: The lengths of perpendiculars dropped from P on CD and AD are 1 cm and 2 cm respectively. The lengths of perpendiculars dropped from Q on BC and CD are 4 cm and 3 cm respectively.
j 1 k l m n j 2 k l m n j 3 k l m n j 4 k l m n j 5 k l m n i Skip this question j k l m n
2. There are two beakers, the first beaker is filled with a solution having milk and water in the ratio P:Q and the second beaker is empty. Two liters of the solution is taken from the first beaker and is poured into the second beaker. What is the volume of the solution left in the first beaker? A: The quantity of water in the second beaker is 50%(by volume) of the total solution in it. B: The quantity of milk left in the first beaker is 40%(by volume) of the original quantity of milk in the that beaker.
j 1 k l m n j 2 k l m n j 3 k l m n j 4 k l m n j 5 k l m n i Skip this question j k l m n
3. There are 10 students out of which three are boys and seven are girls. In how many different ways can the students be paired such that no pair consists of two boys?
j 630 k l m n j 1260 k l m n j 105 k l m n j 210 k l m n j None k l m n i Skip this question j k l m n
4. For how many values of (P – Q), the following equations have a common integral root? x2 – Px – Q = 1 x2 – Qx + P – 2Q = 10 (here, P and Q are integers and P > Q) (1) 1 (2) 2 (3) 3 (4) 4 (5) 6
j 1 k l m n j 2 k l m n j 3 k l m n j 4 k l m n j 6 k l m n i Skip this question j k l m n
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5. Find the sum of all the integers N > 1 such that the each prime factor of N is either 2, 3 or 7 and N is not divisible by any perfect cube greater than 1.
i Skip this question j k l m n
5. Find the sum of all the integers N > 1 such that the each prime factor of N is either 2, 3 or 7 and N is not divisible by any perfect cube greater than 1.
j 2820 k l m n j 4004 k l m n j 5186 k l m n j 3184 k l m n j 6186 k l m n i Skip this question j k l m n Directions for Questions from 6 to 7: Answer the questions on the basis of the information given below. Some particular dates, when written in the format ‘mm/dd/yy’, it is found that (yy) = (mm) × (dd). For example: 22nd April 1988 is written as 04/22/88, where 88 = 4 × 22.
6. What is the maximum possible number of days in a single year, in which this could happen?
j 6 k l m n j 7 k l m n j 8 k l m n j 9 k l m n j 5 k l m n i Skip this question j k l m n
7. How many years in the 18th century had no such day that satisfied yy = mm × dd?
j 20 k l m n j 23 k l m n j 18 k l m n j 21 k l m n j 19 k l m n i Skip this question j k l m n
8. A store owner plans to sell two types of MP3 players. One type costs the store owner $200 each; the other type costs $400 each. The $200 models yield a profit of $25 dollars each and the $400 models a profit of $30 each. The store owner estimates that the total demand for the MP3 players will not exceed 300 units. The store owner can invest up to $80,000 on the inventory of MP3 players. The store owner sells some models of each type to maximize the profit. What is the value of the maximum possible profit the store owner can make?
j $8000 k l m n j $7000 k l m n j $9000 k l m n j $7500 k l m n j $6000 k l m n i Skip this question j k l m n
9. The sum of the reciprocal of integers ‘a’ and ‘b’ is equal to the sum of twice the reciprocal of ‘c’ and the reciprocal of ‘10a’. What is the value of (a + b)? (a, b, c are three distinct integers between 0 and 10).
j 2c – 1 k l m n j 2c k l m n j 2c + 1 k l m n j 2c + 3 k l m n j None of these k l m n i Skip this question j k l m n
10. For which of the following values of ‘p’, (x + p)(x + 10) + q = (x + m)(x + n) + r for all values of x, where m, n are integers and q and r consecutive integers with q > r?
j 30 k l m n j 12 k l m n j 24 k l m n
www.complore.com/test4PDF.php?id=62 j 8 k l m n
j Both (2) and (4) k l m n
Page 2 / 3
j 12 k l m n j 24 k l m n j 8 k l m n j Both (2) and (4) k l m n i Skip this question j k l m n
Take this test online © Copyright 2009. All Rights Reserved.
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Search MBA
Quant
DI
English
Vocabulary
Archives
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Events
B-Schools
Quant Test 21 Directions for Questions from 1 to 2: Each question is followed by two statements, A and B. Answer each question using the following instructions: Mark Mark Mark Mark Mark
(1) (2) (3) (4) (5)
If If If If If
the the the the the
question question question question question
can be answered by using the statement A alone but not by using the statement B alone. can be answered by using the statement B alone but not by using the statement A alone. can be answered by using either of the statements alone. can be answered by using both the statements together but not by either of the statements alone. cannot be answered on the basis of the two statements.
1. Points P and Q lie on the diagonal BD of rectangle ABCD. Find the area of rectangle ABCD. A: The lengths of perpendiculars dropped from P on AD and BC are 2 cm and 4 cm respectively. The lengths of perpendiculars dropped from Q on BC and CD are 3 cm and 4 cm respectively. B: The lengths of perpendiculars dropped from P on CD and AD are 1 cm and 2 cm respectively. The lengths of perpendiculars dropped from Q on BC and CD are 4 cm and 3 cm respectively.
j 1 k l m n j 2 k l m n j 3 k l m n j 4 k l m n j 5 k l m n i Skip this question j k l m n
2. There are two beakers, the first beaker is filled with a solution having milk and water in the ratio P:Q and the second beaker is empty. Two liters of the solution is taken from the first beaker and is poured into the second beaker. What is the volume of the solution left in the first beaker? A: The quantity of water in the second beaker is 50%(by volume) of the total solution in it. B: The quantity of milk left in the first beaker is 40%(by volume) of the original quantity of milk in the that beaker.
j 1 k l m n j 2 k l m n j 3 k l m n j 4 k l m n j 5 k l m n i Skip this question j k l m n
3. There are 10 students out of which three are boys and seven are girls. In how many different ways can the students be paired such that no pair consists of two boys?
j 630 k l m n j 1260 k l m n j 105 k l m n j 210 k l m n j None k l m n i Skip this question j k l m n
4. For how many values of (P – Q), the following equations have a common integral root? x2 – Px – Q = 1 x2 – Qx + P – 2Q = 10 (here, P and Q are integers and P > Q) (1) 1 (2) 2 (3) 3 (4) 4 (5) 6
j 1 k l m n j 2 k l m n j 3 k l m n j 4 k l m n j 6 k l m n i Skip this question j k l m n
www.complore.com/test4PDF.php?id=62
Page 1 / 3
5. Find the sum of all the integers N > 1 such that the each prime factor of N is either 2, 3 or 7 and N is not divisible by any perfect cube greater than 1.
i Skip this question j k l m n
5. Find the sum of all the integers N > 1 such that the each prime factor of N is either 2, 3 or 7 and N is not divisible by any perfect cube greater than 1.
j 2820 k l m n j 4004 k l m n j 5186 k l m n j 3184 k l m n j 6186 k l m n i Skip this question j k l m n Directions for Questions from 6 to 7: Answer the questions on the basis of the information given below. Some particular dates, when written in the format ‘mm/dd/yy’, it is found that (yy) = (mm) × (dd). For example: 22nd April 1988 is written as 04/22/88, where 88 = 4 × 22.
6. What is the maximum possible number of days in a single year, in which this could happen?
j 6 k l m n j 7 k l m n j 8 k l m n j 9 k l m n j 5 k l m n i Skip this question j k l m n
7. How many years in the 18th century had no such day that satisfied yy = mm × dd?
j 20 k l m n j 23 k l m n j 18 k l m n j 21 k l m n j 19 k l m n i Skip this question j k l m n
8. A store owner plans to sell two types of MP3 players. One type costs the store owner $200 each; the other type costs $400 each. The $200 models yield a profit of $25 dollars each and the $400 models a profit of $30 each. The store owner estimates that the total demand for the MP3 players will not exceed 300 units. The store owner can invest up to $80,000 on the inventory of MP3 players. The store owner sells some models of each type to maximize the profit. What is the value of the maximum possible profit the store owner can make?
j $8000 k l m n j $7000 k l m n j $9000 k l m n j $7500 k l m n j $6000 k l m n i Skip this question j k l m n
9. The sum of the reciprocal of integers ‘a’ and ‘b’ is equal to the sum of twice the reciprocal of ‘c’ and the reciprocal of ‘10a’. What is the value of (a + b)? (a, b, c are three distinct integers between 0 and 10).
j 2c – 1 k l m n j 2c k l m n j 2c + 1 k l m n j 2c + 3 k l m n j None of these k l m n i Skip this question j k l m n
10. For which of the following values of ‘p’, (x + p)(x + 10) + q = (x + m)(x + n) + r for all values of x, where m, n are integers and q and r consecutive integers with q > r?
j 30 k l m n j 12 k l m n j 24 k l m n
www.complore.com/test4PDF.php?id=62 j 8 k l m n
j Both (2) and (4) k l m n
Page 2 / 3
j 12 k l m n j 24 k l m n j 8 k l m n j Both (2) and (4) k l m n i Skip this question j k l m n
Take this test online © Copyright 2009. All Rights Reserved.
www.complore.com/test4PDF.php?id=62
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