NUMBERS-1

1. If √(3ⁿ )=81, then n =
A) 2
B) 4
C) 6
D) 8
E) 27

2. What least number must be subtracted from 12702 to get number exactly 99?
A).49
B).30
C).29
D).31
E).35

3. Which is the greatest one of the following numbers?
A).(2+2+2)²
B).(2×2×2)²
C).[(2+2)2]²
D).4²
E).2+2²

4. Sum of even numbers between 15 and 25 is
A).70
B).80
C).130
D).100
E).120

5.How many numbers between 1000 and 5000 are exactly divisible by 225?
A).16
B).18
C).19
D).12
E).15

6.If a²b= abc = 180 and a, b, c are positive integers, then the value of a is:
A)2
B)3
C)5
D)More than one value possible.
E)no value exists

7.When simplified, the product:
[2−1/3] [2−3/5 ] [2− 5/7].... [2− 997/999]
A)5/999
B)1001/999
C)1001/3
D)1001/99
E)None of these

8.If n is any positive integer, then (34ⁿ−43ⁿ) is always divisible by
A)7
B)17
C)112
D)145
E)148

9.If −1 ≤ x ≤ 2 and 1 ≤ y ≤ 3 , then least possible value of (2y-3x) is :
A)0
B)-3
C)-4
D)-5
E)-8
10.The value of [(2ⁿ + 2^n-1)/(2ⁿ⁺¹ - 2ⁿ )]is:
A)1/2
B)3/2
C)2^n-1/(n+2)
D)5/2
E)7/2