Surds and Indices
Simplify : z6 (z -2) [2014]
z3
z4
z8
z12
If 5a = 3125 then the value of 5(a - 3)[2014]
5
125
625
1625
If 813 = 2z then the value of z is :[2011]
10
13
39
26
The value of (1/109) - (1/1010) is: [2011]
-(1/10)
1/10
-(1/1019)
9/1010
The value of 4(xy)3 + (x3 - y3)2: [2011]
(x3 - y 3)2
(x3 + y3)2
(x3 + y3)
(x3 - y3)
The value of 212 + 213 + 212 is : [2011]
214
416
218
248
Which of the following numbers is the greater positive integer x such that 3x is a factor of 275? [2010]
15
19
15
10
If 3x = 81, then (3x+3)(4x-1) must be equal to: [2009]
5(7)5
37 × 43
x + 2
(x + 2)/ 3
the value of (64 - 63) / 5 is equal to [2009]
1/5
63
6/5
64
Value of (25 × 92) ÷ (82 × 35 )is [2003]
1/6
6
1/2
1
If x = ya, y = zb and z = xc, then the value of abc is [2002]
1
2
3
4
Other Question
The value of (√8)1/3 is:
2
25
20
22
Lorem Ipsum
If 3x-y=81 and 3x+y = 729, what is x?
4
5
8
10
3x-y x 3x+y = 81 x 729
3
x-y+x+y = 34 x 36
3
2x = 310
x = 5
If 5a = 3125, then the value of 5(a-3) is
25
125
625
1625
5a = 3125 which is equal to 55
therefor a = 5
therefor 55-3 = 52
25
(256)0.16 x (256)0.09 = ?
4
16
64
256.25
(256)0.16 x (256)0.09 = (256)0.16 - 0.09
(256)
0.25
(256)
25/100
(256)
1/4
(4
4)1/4
(4
1)
The value of (10)150 ÷ (10)146
1000
10000
100000
106
(10)150 ÷ (10)146
(10)150 - 146
10
4
10000
(0.04)-1.5
25
125
250
625
(0.04)-1.5
(4/100)
-1.5
(1/25)
-(3/2)
(25)
3/2
(5
2)3/2
(5
3)
125
If m and n are whole number such that mn = 121, the value of (m - 1)n+1 is
1
10
121
1000
We know that 112 = 121
Putting m = 11 and n = 2, we get : (m-1)
n+1 = (11 - 1)2+1 = 103 = 1000
(17)3.5 x (17)? = 178
2.29
2.75
4.25
4.5
Let (17)3.5 x (17)x = 178
(17)
3.5+x = 178
3.5 + x = 8
x = 4.5
If 3(x-7) = 27 and 3(x+y) = 243 then x is equal to.
0
2
4
6
3x - y = 27 = 33 <=> x - y = 3 ....(i)
3x + y = 243 = 35 <=> x + y = 5 ....(ii)
On solving (i) and (ii), we get x = 4.
if , then the value of is:
1
2
4
Equal to = ?
2
-2
(64)4 ÷ (8)5 = ?
88
82
812
83
If 310 x 272 = 92 x n then the value of n is = ?
10
12
15
30