Quant Test 121
Directions for Questions from 4 to 5:
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).
1. In the figure below ABCD is an isosceles trapezium such that AD = BC. P is a point on the side AD such that PR || AB and AP:PD = DC:AB = 2:1.
What is the value of (PR)/(AB+ DC) ?
4 / 7
2 / 3
3 / 5
6 / 11
5 / 9
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2. Every year on the day of Janmashtami, both Mr. Deepak Patel and Mr. Radha Krishnan distribute sweets free of cost at their respective shops. Last
year on the day of Janmashtmi, there were a total of 1013 and 1057 people standing in two different queues in front of the shops of Mr. Deepak
Patel and Mr. Radha Krishnan respectively. If there are at least 3 women between any two men in each of these two queues, then the total
number of men in both the queues cannot be more than
519
619
576
666
517
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3. The HCF of (n + 3) and (7n + 48) is ‘k’, where ‘n’ is a natural number. How many values of ‘k’ are possible?
4
5
1
2
3
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4. 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?
9
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13
11
16
21
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