Cat 2009 Quanttest 17
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Quant Test 17 1. Nangru is standing on a point X such that the point X lies on the first quadrant of a Cartesian Co-ordinate system. After travelling to five different points in the first quadrant, he came back to the point X. The ‘x’ and ‘y’ co-ordinates of each point to which he traveled is a prime number. What is the minimum possible area of the region enclosed by Nangru? Assume that during the course of his travel he neither retraced nor crossed the path through which he has already traveled once. Also, the distance between the two consecutive points which he had traveled is an integer.
j 3 square units k l m n j 4.5 square units k l m n j 2 square units k l m n j 5.5 square units k l m n j 4 square units k l m n i Skip this question j k l m n Directions for Questions from 2 to 5: 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.
2.
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. In a survey conducted on the usage of mobile phones namely Nokia, Samsung and Motorola, it was found that 50 people use Motorola and 34 people use both Nokia and Motorola. How many people are there who use both Nokia and Samsung but do not use Motorola? A: The number of people who use both Nokia and Samsung but do not use Motorola is twice the number of people using both Samsung and Motorola. The number of people using all the three mentioned mobile phones is 10 less than the number of people who use only Motorola. B: Out of the number of people surveyed, the number of people using all the three mentioned mobile phones is 3.
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
4.
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
5. If p, q and r are positive integers, then is (p2 + q2r) an odd number? A: p – 4r = 1 – 2q. B: 3q + 2r = p2 – 9.
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. Find the digit sum of the number (ab3cdefghi1)43, where a, b…. h and i are nine distinct single digit natural numbers. (Digit sum of 926 = 9 + 2 + 6 = 17 = 1 + 7 = 8).
j 8 k l m n j 2 k l m n j 4 k l m n j 7 k l m n j 5 k l m n i Skip this question j k l m n
7. Four circles having radius 1 cm, 2 cm, 3 cm and 4 cm intersect each other to create maximum possible number of bounded regions. What is the minimum possible number of different colours required to fill in the bounded regions so that no two adjacent regions are filled with the same colour?
j 5 k l m n j 4 k l m n j 3 k l m n j 6 k l m n j 7 k l m n i Skip this question j k l m n Directions for Questions from 8 to 9: Answer the questions on the basis of the information given below. There is a N × N square matrix having N2 cells of dimension 1 × 1. Every cell in the matrix is given an address (i, j), where (i, j = n, n + 1, ……) and n is an integer. It is given that one of the box is marked as (0, 0). Every other cell is given an address (i, j) as per the Cartesian coordinate system. All addresses are given with reference to the central most cell (0, 0). For example, the cell to the immediate right of (0, 0) along the same row is given an address (1, 0). Similarly, the cell above (0, 0) along the same column is given an address (0, 1).
8. If the addresses of the cells sharing a common point or a common boundary with the cell having the address (i, j) are (i1, j1)....(im, jm) , then what is the value of |(i – i1)| + ……. |(i – im)|? (1) 2 (2) 3 (3) 6 (4) Either 2 or 3 (5) Either 2 or 3 or 6
j 2 k l m n j 3 k l m n j 6 k l m n j Either 2 or 3 k l m n j Either 2 or 3 or 6 k l m n i Skip this question j k l m n
9. If the total number of cells in the matrix is less than 100 and N is an odd number, then what is the maximum possible number of cells in the matrix for which (i + j) is a perfect square?
j 9 k l m n j 13 k l m n j 11 k l m n j 16 k l m n j 21 k l m n i Skip this question j k l m n
10. In order to sell his old books, which were priced at Rs. 63 per book, Ravinder reduced the price per book by a whole number of rupees such that the final price per book is less than the initial price per book. Now, the whole lot of old books was sold for Rs. 4914. What is the minimum possible number of ld books in the lot that Ravinder so ld?
j 209 k l m n j 143 k l m n j 151 k l m n j 91 k l m n j 22 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 17 1. Nangru is standing on a point X such that the point X lies on the first quadrant of a Cartesian Co-ordinate system. After travelling to five different points in the first quadrant, he came back to the point X. The ‘x’ and ‘y’ co-ordinates of each point to which he traveled is a prime number. What is the minimum possible area of the region enclosed by Nangru? Assume that during the course of his travel he neither retraced nor crossed the path through which he has already traveled once. Also, the distance between the two consecutive points which he had traveled is an integer.
j 3 square units k l m n j 4.5 square units k l m n j 2 square units k l m n j 5.5 square units k l m n j 4 square units k l m n i Skip this question j k l m n Directions for Questions from 2 to 5: 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.
2.
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. In a survey conducted on the usage of mobile phones namely Nokia, Samsung and Motorola, it was found that 50 people use Motorola and 34 people use both Nokia and Motorola. How many people are there who use both Nokia and Samsung but do not use Motorola? A: The number of people who use both Nokia and Samsung but do not use Motorola is twice the number of people using both Samsung and Motorola. The number of people using all the three mentioned mobile phones is 10 less than the number of people who use only Motorola. B: Out of the number of people surveyed, the number of people using all the three mentioned mobile phones is 3.
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
4.
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
5. If p, q and r are positive integers, then is (p2 + q2r) an odd number? A: p – 4r = 1 – 2q. B: 3q + 2r = p2 – 9.
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. Find the digit sum of the number (ab3cdefghi1)43, where a, b…. h and i are nine distinct single digit natural numbers. (Digit sum of 926 = 9 + 2 + 6 = 17 = 1 + 7 = 8).
j 8 k l m n j 2 k l m n j 4 k l m n j 7 k l m n j 5 k l m n i Skip this question j k l m n
7. Four circles having radius 1 cm, 2 cm, 3 cm and 4 cm intersect each other to create maximum possible number of bounded regions. What is the minimum possible number of different colours required to fill in the bounded regions so that no two adjacent regions are filled with the same colour?
j 5 k l m n j 4 k l m n j 3 k l m n j 6 k l m n j 7 k l m n i Skip this question j k l m n Directions for Questions from 8 to 9: Answer the questions on the basis of the information given below. There is a N × N square matrix having N2 cells of dimension 1 × 1. Every cell in the matrix is given an address (i, j), where (i, j = n, n + 1, ……) and n is an integer. It is given that one of the box is marked as (0, 0). Every other cell is given an address (i, j) as per the Cartesian coordinate system. All addresses are given with reference to the central most cell (0, 0). For example, the cell to the immediate right of (0, 0) along the same row is given an address (1, 0). Similarly, the cell above (0, 0) along the same column is given an address (0, 1).
8. If the addresses of the cells sharing a common point or a common boundary with the cell having the address (i, j) are (i1, j1)....(im, jm) , then what is the value of |(i – i1)| + ……. |(i – im)|? (1) 2 (2) 3 (3) 6 (4) Either 2 or 3 (5) Either 2 or 3 or 6
j 2 k l m n j 3 k l m n j 6 k l m n j Either 2 or 3 k l m n j Either 2 or 3 or 6 k l m n i Skip this question j k l m n
9. If the total number of cells in the matrix is less than 100 and N is an odd number, then what is the maximum possible number of cells in the matrix for which (i + j) is a perfect square?
j 9 k l m n j 13 k l m n j 11 k l m n j 16 k l m n j 21 k l m n i Skip this question j k l m n
10. In order to sell his old books, which were priced at Rs. 63 per book, Ravinder reduced the price per book by a whole number of rupees such that the final price per book is less than the initial price per book. Now, the whole lot of old books was sold for Rs. 4914. What is the minimum possible number of ld books in the lot that Ravinder so ld?
j 209 k l m n j 143 k l m n j 151 k l m n j 91 k l m n j 22 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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