a2zinterviews

36.	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.

37.	The difference between two numbers is 1365. 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.  250
	C.  260
	D.  270

Solution

Let the numbers be x and x(x+1365). Then, x+1365 = 6x + 15 ‹=›5x = 1350. ‹=›x = 270.

38.	The sum of three consecutive odd numbers is 20 more than the first of these numbers. What is the middle number?
	A.  5
	B.  7
	C.  9
	D.  11

Solution

Let the numbers be x, x+2,x+4 Then x,(x+2)+(x+4)= x+20 ‹=›2x = 14 ‹=›x= 7. Therefore Middle number = x+2 = 9.

39.	If the sum of a number and its square is 182, what is the number?
	A.  13
	B.  26
	C.  39
	D.  45

Solution

Let the number be x. Then, x + x2 = 182 ‹=›x2 + x - 182 = 0 ‹=›(x + 14) (x - 13) = 0. ‹=›x = 13.

40.	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.  11
	C.  12
	D.  16

Solution

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