a2zinterviews

1.	The product of two numbers is 192 and the sum of these two numbers is 28. What is the smaller of these two numbers?
	A.  10
	B.  12
	C.  14
	D.  15

Solution

Let the number be x and (28 - x) = Then, x (28 - x) = 192 ‹=›x2 - 28x + 192 = 0. ‹=›(x - 16) (x - 12) = 0 ‹=›x = 16 or x = 12.

2.	Three times the first of three consecutive odd integers is 3 more than twice the third. The third integer is
	A.  8
	B.  9
	C.  13
	D.  15

Solution

Let the three numbers be x, x+2, x+4 Then 3x = 2(x+4) + 3 ‹=›x = 11 Third integer = x + 4 = 15.

3.	Find the sum of prime numbers lying between 60 and 75?
	A.  198
	B.  201
	C.  252
	D.  272

Solution

Required sum = 61 + 67 + 71 + 73) = 272.

4.	If 1*548 is divisible by 3, which of the following digits can replace *?
	A.  0
	B.  1
	C.  2
	D.  3

Solution

1 + x + 5 + 4 + 8 = (18 + x). Clearly, when x=0, then sum of digits divisible by 3.

5.	The greatest number by which the product of three consecutive multiples of 3 is always divisible is
	A.  54
	B.  76
	C.  152
	D.  162

Solution

Required number = Product of first three multiplies of 3 = (3 × 6 × 9)= 162.