Cat 2009 Quant Test 16
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Quant Test 16 Directions for Questions from 1 to 2: In a question paper, there are 30 questions. If a person answers a question correctly, he is awarded 5 marks and if he gives wrong answer, he gets –2 marks. There is no negative marking for not attempting any question.
1. Priya secured 60% of the maximum marks in the paper. If a denotes the number of correct attempts and b denotes number of incorrect attempts, the total number of pairs of attempts (a, b) by Priya can at most be
j 2 k l m n j 4 k l m n j 6 k l m n j 8 k l m n j 5 k l m n i Skip this question j k l m n
2. How many natural numbers less than 150 can never equal the marks secured by any student taking the test?
j 0 k l m n j 6 k l m n j 10 k l m n j 8 k l m n j 12 k l m n i Skip this question j k l m n
Directions for Questions from 3 to 4: Answer the questions on the basis of the information given below. A basket containing a certain number of oranges and apples costs Rs. 248. If 1 apple is added to the basket, the average cost per fruit in the basket increases by Rs. 2 and if 1 orange is added to the basket, the average cost per fruit in the basket decreases by Rs. 1. It is also known that if 2 apples are replaced with 2 oranges, the average cost per fruit in the basket becomes Rs. 16.
3. Find the total number of fruits in the basket initially.
j 10 k l m n j 11 k l m n j 12 k l m n j 13 k l m n j 14 k l m n i Skip this question j k l m n
4. Find the average cost per fruit in the basket after an apple is replaced by an orange.
j Rs. 22.18 k l m n j Rs. 18.48 k l m n j Rs. 25.81 k l m n j Rs. 19.27 k l m n j 16.45 k l m n i Skip this question j k l m n Directions for Questions from 5 to 6: Each question is followed by two statements, A and B. Answer each question using the following instructions: Mark (1) if the question can be answered by using the statement A alone but not by using the statement B alone. Mark (2) if the question can be answered by using the statement B alone but not by using the statement A alone. Mark (3) if the question can be answered by using either of the statements alone. Mark (4) if the question can be answered by using both the statements together but not by either of the statements alone. Mark (5) if the question cannot be answered on the basis of the two statements.
5. A milkman has 25 small cans, all of which are completely filled with milk. He also has one large can
which is empty. Can he transfer all the milk contained in 15 of these small cans to the large can? A: The large can has a capacity of 500 liters. B: The average capacity of any 20 of the small cans is 25 liters.
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
6. What is the remainder when P2 is divided by 12, where ‘P’ is a prime number? A: P is of the form 4k + 3, where ‘k’ is a positive integer. B: P is of the form 2k – 1, where ‘k’ is an integer greater than 1.
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 Directions for Questions from 7 to 8: Answer the questions on the basis of the information given below. ABCD is a square which is divided into 17 smaller squares as shown in the figure given below. The length of the side of each of the squares is an integer and length of the side of the square marked as ‘x’ is 3 units.
7. The length of the side of the square ABCD is
j 18 units k l m n j 22 units k l m n j 16 units k l m n j 20 units k l m n j Cannot be determined k l m n i Skip this question j k l m n
8. The sum of the areas of squares marked as ‘y’ and ‘z’ is
j 80 square units k l m n j 106 square units k l m n
j 97 square units k l m n j 89 square units k l m n j Cannot be determined k l m n i Skip this question j k l m n
9. Let P be a natural number that leaves a remainder 3, when divided by 7 and let Q be another natural number that leaves a remainder 1, when divided by 5. How many ordered pairs (P, Q) exist such that the difference between P and Q is greater than 177 and the sum of P and Q is less than 203?
j 12 k l m n j 14 k l m n j 16 k l m n j 10 k l m n j 20 k l m n i Skip this question j k l m n
10. How many four-digit numbers can be formed using the digits 1, 2, 4, 6, 7 and 9 such that each number is divisible by 3 but not by 9? (Repetition of digits is not allowed)
j 84 k l m n j 48 k l m n j 72 k l m n j 96 k l m n j 120 k l m n i Skip this question j k l m n
Take this test online © Copyright 2009. All Rights Reserved.
Quant
DI
English
Vocabulary
Archives
ForumsNew!
Events
B-Schools
Quant Test 16 Directions for Questions from 1 to 2: In a question paper, there are 30 questions. If a person answers a question correctly, he is awarded 5 marks and if he gives wrong answer, he gets –2 marks. There is no negative marking for not attempting any question.
1. Priya secured 60% of the maximum marks in the paper. If a denotes the number of correct attempts and b denotes number of incorrect attempts, the total number of pairs of attempts (a, b) by Priya can at most be
j 2 k l m n j 4 k l m n j 6 k l m n j 8 k l m n j 5 k l m n i Skip this question j k l m n
2. How many natural numbers less than 150 can never equal the marks secured by any student taking the test?
j 0 k l m n j 6 k l m n j 10 k l m n j 8 k l m n j 12 k l m n i Skip this question j k l m n
Directions for Questions from 3 to 4: Answer the questions on the basis of the information given below. A basket containing a certain number of oranges and apples costs Rs. 248. If 1 apple is added to the basket, the average cost per fruit in the basket increases by Rs. 2 and if 1 orange is added to the basket, the average cost per fruit in the basket decreases by Rs. 1. It is also known that if 2 apples are replaced with 2 oranges, the average cost per fruit in the basket becomes Rs. 16.
3. Find the total number of fruits in the basket initially.
j 10 k l m n j 11 k l m n j 12 k l m n j 13 k l m n j 14 k l m n i Skip this question j k l m n
4. Find the average cost per fruit in the basket after an apple is replaced by an orange.
j Rs. 22.18 k l m n j Rs. 18.48 k l m n j Rs. 25.81 k l m n j Rs. 19.27 k l m n j 16.45 k l m n i Skip this question j k l m n Directions for Questions from 5 to 6: Each question is followed by two statements, A and B. Answer each question using the following instructions: Mark (1) if the question can be answered by using the statement A alone but not by using the statement B alone. Mark (2) if the question can be answered by using the statement B alone but not by using the statement A alone. Mark (3) if the question can be answered by using either of the statements alone. Mark (4) if the question can be answered by using both the statements together but not by either of the statements alone. Mark (5) if the question cannot be answered on the basis of the two statements.
5. A milkman has 25 small cans, all of which are completely filled with milk. He also has one large can
which is empty. Can he transfer all the milk contained in 15 of these small cans to the large can? A: The large can has a capacity of 500 liters. B: The average capacity of any 20 of the small cans is 25 liters.
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
6. What is the remainder when P2 is divided by 12, where ‘P’ is a prime number? A: P is of the form 4k + 3, where ‘k’ is a positive integer. B: P is of the form 2k – 1, where ‘k’ is an integer greater than 1.
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 Directions for Questions from 7 to 8: Answer the questions on the basis of the information given below. ABCD is a square which is divided into 17 smaller squares as shown in the figure given below. The length of the side of each of the squares is an integer and length of the side of the square marked as ‘x’ is 3 units.
7. The length of the side of the square ABCD is
j 18 units k l m n j 22 units k l m n j 16 units k l m n j 20 units k l m n j Cannot be determined k l m n i Skip this question j k l m n
8. The sum of the areas of squares marked as ‘y’ and ‘z’ is
j 80 square units k l m n j 106 square units k l m n
j 97 square units k l m n j 89 square units k l m n j Cannot be determined k l m n i Skip this question j k l m n
9. Let P be a natural number that leaves a remainder 3, when divided by 7 and let Q be another natural number that leaves a remainder 1, when divided by 5. How many ordered pairs (P, Q) exist such that the difference between P and Q is greater than 177 and the sum of P and Q is less than 203?
j 12 k l m n j 14 k l m n j 16 k l m n j 10 k l m n j 20 k l m n i Skip this question j k l m n
10. How many four-digit numbers can be formed using the digits 1, 2, 4, 6, 7 and 9 such that each number is divisible by 3 but not by 9? (Repetition of digits is not allowed)
j 84 k l m n j 48 k l m n j 72 k l m n j 96 k l m n j 120 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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