a2zinterviews

1.	The sum of two numbers is 22. Five times one number is equal to 6 times the other. The bigger of the two numbers is
	A.  10
	B.  12
	C.  15
	D.  16

Solution

Let the numbers be x and (22 - x). Then, 5x = 6(22 - x) ‹=› 11x = 132 x= 12. So, the numbers are 12 and 10.

2.	If the sum and the difference of two numbers are 20 and 8 respectively, then the difference of their square is
	A.  12
	B.  28
	C.  160
	D.  180

Solution

Let the numbers be x and y. Then, x + y = 20 and x - y = 8. Therefore,x2 - y2 = (x + y)(x - y) ‹=› 20 x 8 ‹=› 160.

3.	Let the number which when multiplied by 15 is increased by 196.
	A.  14
	B.  20
	C.  26
	D.  28

Solution

Let the number be x . Then, 15x - x = 196 ‹=›14x = 196 x ‹=› 14.

4.	The sum of two numbers is 25 and their difference is 13. Find their product.
	A.  104
	B.  114
	C.  315
	D.  325

Solution

Let the numbers be x and y. Then, x + y = 25 and x - y = 13. 4xy = (x+y)2 - (x - y)2 ‹=›(25)2 - (13)2 ‹=›625 - 169 = 456 xy = 114.

5.	Three numbers are in the ratio of 3 : 4 : 6 and their product is 1944. The largest of these numbers is
	A.  6
	B.  12
	C.  18
	D.  26

Solution

Let the numbers be 3x, 4x and 6x. Then, 3x × 4x × 6x = 1944 ‹=›72x3 = 1944 ‹=›x3 = 27 ‹=›x = 3 Therefore, Largest number = 6x = 18.