Question 7 :
If {tex} \mathrm { x } , \mathrm { y } {/tex} are both positive rational numbers, then {tex} ( √ x + √ y ) (√ x - √ y ) {/tex} is
Question 9 :
The value of {tex} \frac { \log 8 - \log 2 } { \log 32 } {/tex} is
Question 10 :
The sum of two natural numbers is 25 and their difference is 7. The numbers are
Question 11 :
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 12 :
If {tex} \log _ { 0.5 } 64 = x , {/tex} then the value of {tex} x {/tex} is
Question 13 :
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 14 :
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 15 :
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 16 :
If {tex} \log_ {\sqrt { 3 }} \ 27 = x , {/tex} then the value of {tex} x {/tex} is
Question 17 :
If {tex} \log _ { 5 } ( 0.04 ) = x , {/tex} then the value of {tex} x {/tex} is
Question 18 :
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 19 :
If {tex} \log _ { \sqrt [ 3 ] { 5 }} x = - 3 , {/tex} then the value of {tex} x {/tex} is
Question 20 :
If {tex} \log ( 3 x + 1 ) = 2 , {/tex} then the value of {tex} x {/tex} is
Question 21 :
The value of {tex} 2 + \log _ { 10 } ( 0.01 ) {/tex} is
Question 22 :
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 25 :
p <sup> (-2/5) </sup> x p <sup> (2/5) </sup> = ?
Question 27 :
(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 28 :
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 30 :
The value of (1/2) <sup> -2 </sup> + (1/3) <sup> -2 </sup> + (1/4) <sup> -2 </sup> is?
Question 31 :
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 32 :
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 34 :
(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 37 :
(5 <sup> 0 </sup> + 6 <sup> 0 </sup> + 7 <sup> 0 </sup> ) =?
Question 38 :
(64) <sup> -1/2 </sup> – (-32) <sup> -4/5 </sup> = ?