a2zinterviews

6.	In a pair of fractions, fractions A is twice the fraction B and the product of two fractions is 2/25. What is the value of fraction A?
	A.  1/5
	B.  1/25
	C.  2/5
	D.  Data inadequate

Solution

A =2B ‹=› B= 1/2 A. So, AB = 2/25 ‹=› 1/2A2= 2/25 ‹=› A2= 4/25 A= 2/5.

7.	The difference between two numbers is 1356. When the larger number is divided by the smaller one, the quotient is 6 and the remainder is 15. The smaller number is
	A.  240
	B.  270
	C.  295
	D.  360

Solution

Let the numbers be x and (x + 1356). Then, x + 1356 = 6x+15 ‹=› 5x = 1350 x = 270.

8.	The product of two numbers is 120 and the sum of their squares is 289. The sum of the number is
	A.  20
	B.  23
	C.  169
	D.  199

Solution

Let the numbers be x and y. Then, xy = 120 and x2 + y2 = 289. Therefore, (x + y)2 = x2 + y2 + 2xy =289 + (2 × 120) = 529. Therefore, (x + y) = √529 = 23.

9.	If doubling a number and adding 20 to the result gives the same answer as multiplying the number by 8 and taking away 4 from the product, the number is
	A.  2
	B.  3
	C.  4
	D.  6

Solution

Let the number be x. Then, 2x + 20 = 8x - 4 ‹=› 6x= 24 ‹=› x = 4.

10.	Find 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, 5x - x =196 ‹=› 14 x= 196 ‹=› x = 14.