a2zinterviews

1.	If 5a= 3125, then the value of 5(a-3) is
	A.  25
	B.  125
	C.  625
	D.  1625

Solution

5a =3125 = 5a= 55 a=5. 5(a-3) = 5(5-3)= 52 = 25.

2.	If √2 n, then the value of n is
	A.  2
	B.  4
	C.  6
	D.  12

Solution

√2 n = 64 = (2 n)1/2 = 2 6 = 2 n/2 = 2 6 ‹= ›n/2 = 6 = 12.

3.	If m and n are whole numbers such that mn = 121, then the value of (m - 1)n+1 is
	A.  1
	B.  10
	C.  121
	D.  1000

Solution

We know that 112 =121. Putting m = 11 and n = 2, we get (m - 1)n+1 = (11 - 1)2+1 ‹= › 103 = 1000.

4.	(17)3.5 ×(17)? = 178
	A.  2.29
	B.  2.75
	C.  4.5
	D.  4.75

Solution

Let (17)3.5×(17)x = 178 Then,(17)3.5 + x =178 =3.5 + x = 8 ‹= ›x= (8 - 3.5) = 4.5

5.	The value of[(10)150 ÷(10)146] is
	A.  1000
	B.  10000
	C.  100000
	D.  106

Solution

10)150 ÷(10)146 = (10)150 / 10146 = (10)(150 - 146) = 104. = 10000.