Question Text
Question 1 :
If $3^{n} = n^{6}$, find the value of $ n^{18} $
Question 2 :
If $9^n = 27^{n+1}$, then calculate the value of $2^n $.
Question 6 :
If $4^{2x + 2} = 64$, then calculate the value of $x $.
Question 10 :
Find a number whose fifth part increased by 30 is equal to its fourth part decreased by 30.
Question 11 :
The digit in the tens place of a two digit number is 3 more than the digit in the units place. Let the digit at units place be b. Then the number is
Question 12 :
The denominator of a rational number is greater than the numerator by 10. If the numerator is increased by 1 the and denominator is decreased by 1, then expression for new denominator is
Question 13 :
Divide 54 into two parts such that one part is $\frac{2}{7}$ of the other.
Question 14 :
State whether the statement is TRUE or FALSE : If x is an even number, then the next even number is 2(x + 1).
Question 15 :
If numerator is 2 less than denominator of a rational number and when 1 is subtracted from numerator and denominator both, the rational number in its simplest form is $\frac{1}{2}$. What is the rational number?
Question 17 :
The sum of three consecutive multiples of 7 is 357. Find the smallest multiple.
Question 18 :
State whether the statement is TRUE or FALSE : Three consecutive even numbers whose sum is 156 are 51, 52 and 53.
Question 19 :
Distance between two stations A and B is 690 km. Two cars start simultaneously from A and B towards each other, and the distance between them after 6 hours is 30 km. If the speed of one car is less than the other by 10 km/hr, find the speed of each car.