Question 1 :
The sum of two natural numbers is 25 and their difference is 7. The numbers are
Question 2 :
The sum of two natural numbers is 240 and their ratio is 3 : 5. Then the greater number is
Question 3 :
The value of {tex} \frac { \log 8 - \log 2 } { \log 32 } {/tex} is
Question 4 :
If {tex} \log _ { 5 } ( 0.04 ) = x , {/tex} then the value of {tex} x {/tex} is
Question 5 :
If {tex} \log _ { 0.5 } 64 = x , {/tex} then the value of {tex} x {/tex} is
Question 6 :
The age of a woman is four times the age of her daughter. Five years hence, the age of the woman will be three times the age of her daughter. The present age of the daughter is
Question 7 :
Father’s age is six times his son’s age. Four years hence, the age of the father will be four times his son’s age. The present age in years of the son and the father are, respectively
Question 8 :
Aruna has only ₹1 and ₹2 coins with her. If the total number of coins that she has is 50 and the amount of the money with her is ₹75, then the number of ₹1 and ₹2 coins are, respectively
Question 9 :
The sum of the digits of a two digit number is 12. If the number is decreased by 18, its digits get reversed. The number is
Question 10 :
If {tex} \log ( 3 x + 1 ) = 2 , {/tex} then the value of {tex} x {/tex} is
Question 11 :
The value of {tex} 2 + \log _ { 10 } ( 0.01 ) {/tex} is
Question 12 :
The sum of the digits of a two digit number is 9. If 27 is added to it, the digits of the number get reversed. The number
Question 13 :
Sum of digits of a two digit number is 8. If the number obtained by reversing the digits is 18 more than the original number, then the original number is
Question 14 :
If {tex} \log _ { \sqrt [ 3 ] { 5 }} x = - 3 , {/tex} then the value of {tex} x {/tex} is
Question 15 :
If {tex} \log_ {\sqrt { 3 }} \ 27 = x , {/tex} then the value of {tex} x {/tex} is
Question 16 :
The value of (1/2) <sup> -2 </sup> + (1/3) <sup> -2 </sup> + (1/4) <sup> -2 </sup> is?
Question 17 :
If (0.04) <sup> 2 </sup> ÷ (0.008) x (0.2) <sup> 6 </sup> = (0.2) <sup> x </sup> , find x?
Question 18 :
(x <sup> a </sup> /x <sup> -b </sup> ) <sup> a-b </sup> x (x <sup> b </sup> /x <sup> -c </sup> ) <sup> b-c </sup> x (x <sup> c </sup> /x <sup> -a </sup> ) <sup> c-a </sup> =?
Question 19 :
Find the Value of X in [{(2/5) <sup> 2 </sup> } <sup> 4 </sup> ] <sup> x+2 </sup> = [{(2/5) <sup> -2 </sup> } <sup> (x-1) </sup> ] <sup> -3 </sup> ?
Question 20 :
Simplify: {9 <sup> -2 </sup> x 3 <sup> 5 </sup> x (5 <sup> -2 </sup> ) <sup> 3 </sup> } / {(3 <sup> -3 </sup> ) <sup> 4 </sup> x 5 <sup> 4 </sup> } ?
Question 22 :
(ab) <sup> y-z </sup> (bc) <sup> z-x </sup> (c)<span style="font-size: 12px; line-height: 0; position: relative; vertical-align: baseline; top: -0.5em;">x-y </span>=?
Question 23 :
What is the Multiplicative Inverse of 10 <sup> 10 </sup> ?
Question 24 :
What is the value of n in 5 <sup> -5 </sup> x 5 <sup> 2n+1 </sup> = 5 <sup> 13 </sup> ÷ 5 <sup> 7 </sup> ?
Question 25 :
Solve: [{2p <sup> -1 </sup> q <sup> 2 </sup> r}] <sup> -2 </sup>
Question 26 :
What is the value of {x <sup> 2n+3 </sup> x <sup> (2n+1)(n+2) </sup> } / {(x <sup> 3 </sup> ) <sup> 2n+1 </sup> x <sup> n(2n+1) </sup> } ?
Question 27 :
If 3 <sup> x-1 </sup> + 3 <sup> x+1 </sup> = 90 then x equals to?
Question 31 :
√x <sup> p-q </sup> x √x <sup> q-r </sup> x √x <sup> r-p </sup> = ?
Question 32 :
Solve: (x <sup> a </sup> /x <sup> b </sup> ) <sup> a+b </sup> x (x <sup> b </sup> /x <sup> c </sup> ) <sup> b+c </sup> x (x <sup> c </sup> /x <sup> a </sup> ) <sup> c+a </sup> ?
Question 35 :
If 3 <sup> x+y </sup> = 81 and 81 <sup> x-y </sup> = 3 <sup> 8 </sup> , what is the value of x and y?
Question 36 :
If 2 <sup> x+1 </sup> = 8 <sup> x </sup> , then x equals?
Question 37 :
Which of the following values are equal? <br />I. 5 <sup> 0 <br /></sup> II. 1 <sup> 5 <br /></sup> III. 0 <sup> 5 <br /></sup> IV. 5 <sup> 1 </sup>
Question 38 :
If (x/y) <sup> n-1 </sup> = (y/x) <sup> n-3 </sup> , What is the value of n?
Question 39 :
If (25) <sup> x </sup> = (125) <sup> y </sup> then x : y equals?
Question 40 :
If 5 <sup> x </sup> = 3125 then the value of 5 <sup> (x-3) </sup> is?
Question 41 :
(x <sup> a+b </sup> ) <sup> a-b </sup> x (x <sup> b+c </sup> ) <sup> b-c </sup> x (x <sup> c+a </sup> ) <sup> c-a </sup> =?
Question 42 :
Evaluate: (l <sup> -4 </sup> x m <sup> 3 </sup> x n <sup> -2 </sup> x z <sup> 6 </sup> ) / (n <sup> 3 </sup> x l <sup> -1 </sup> x z <sup> 0 </sup> x m <sup> -2 </sup> )?
Question 43 :
(x <sup> p </sup> /x <sup> q </sup> ) <sup> r </sup> x (x <sup> q </sup> /x <sup> r </sup> ) <sup> p </sup> x (x <sup> r </sup> /x <sup> p </sup> ) <sup> q </sup> =?
Question 44 :
Find the Value of X in (-3/11) <sup> x+5 </sup> ÷ (-3/11) <sup> -2x+3 </sup> = (-3/11) <sup> 2x-5 </sup> x [(-3/11) <sup> -2 </sup> ] <sup> (x+4) </sup> ?
Question 45 :
What is the Value of (1/1+x <sup> a-b </sup> ) + (1/1+x <sup> b-a </sup> )?
Question 46 :
The value of (8 <sup> -1 </sup> -9 <sup> -1 </sup> ) <sup> -1 </sup> ÷ (4 <sup> -1 </sup> -9 <sup> -1 </sup> ) <sup> -1 </sup> ?
Question 47 :
(5 <sup> 0 </sup> + 6 <sup> 0 </sup> + 7 <sup> 0 </sup> ) =?
Question 49 :
(81) <sup> -1 </sup> x 3 <sup> -5 </sup> x 3 <sup> 9 </sup> x (64) <sup> 5/6 </sup> x (∛3) <sup> 6 </sup> =?
Question 50 :
The Value of [2-3(2-3) <sup> -1 </sup> ] <sup> -1 </sup> ?
Question 51 :
(1000) <sup> 12 </sup> ÷ (10) <sup> 30 </sup> = ?
Question 53 :
Find the value of n in {x <sup> 2n-3 </sup> x (x <sup> 2 </sup> ) <sup> n+1 </sup> / (x <sup> 4 </sup> ) <sup> -3 </sup> } = (x <sup> 3 </sup> ) <sup> 3 </sup> ÷ (x <sup> 6 </sup> ) <sup> -3 </sup> ?
Question 54 :
If (25) <sup> 7.5 </sup> x (5) <sup> 2.5 </sup> ÷ (125) <sup> 1.5 </sup> = 5 <sup> x </sup> , What is the value of x?
Question 55 :
p <sup> (-2/5) </sup> x p <sup> (2/5) </sup> = ?
Question 56 :
(x <sup> a+b </sup> /x <sup> c </sup> ) <sup> a-b </sup> x (x <sup> b+c </sup> /x <sup> a </sup> ) <sup> b-c </sup> x (x <sup> c+a </sup> /x <sup> b </sup> ) <sup> c-a </sup> =?
Question 57 :
If 3.3 <sup> n </sup> = 3, then the value of n is?
Question 58 :
What is the value of n if 9 <sup> n </sup> + 9 <sup> n </sup> + 9 <sup> n </sup> = 3 <sup> 2013 </sup> ?
Question 60 :
(64) <sup> 2/3 </sup> + ∛125 + 3 <sup> 0 </sup> + (1/2 <sup> -5 </sup> ) + (27) <sup> -2/3 </sup> x (25/9) <sup> -1/2 </sup> =?
Question 61 :
[(3p <sup> 2 </sup> qr <sup> -2 </sup> ) / (2p <sup> -1 </sup> q <sup> 3 </sup> )] <sup> 2 </sup> ÷ (2p <sup> 3 </sup> r) <sup> -1 </sup> =?
Question 63 :
(64) <sup> -1/2 </sup> – (-32) <sup> -4/5 </sup> = ?
Question 64 :
{a <sup> 7+2n </sup> (a <sup> 2 </sup> )3 <sup> n+2 </sup> } / (a <sup> 4 </sup> ) <sup> 2n+3 </sup> =?
