As HCF is 9 so let numbers be 9x & 9y. It means x & y must be co-prime. Now 9x × 9y = 972, So xy = 12. Now pairs of (x, y) can be (1,12) , (2,6) & (3,4). Here only (1,12) & (3,4) are co-prime so number of pairs are 2.
When 1062, 1134 and 1182 are divided by the greatest number x, the remainder in each case is y. What is the value of (x – y) ?
Sum of squares of three consecutive numbers is 1454. Find the sum of first and third number.
The denominator of a positive rational number is 4 more than its numerator. If the numerator is increased by 6 and the denominator is increased by 5, th...
 Divide 54 into 4 parts such that if the first is increased by 2, the second is decreased by 2, the third is multiplied by 2 and the fourth divided by ...
In a division sum, the divisor is 12 times the quotient and also 5 times of the remainder. If the remainder is 48, then the dividend is:
What is the value of 1² + 3² + 5² + 7² + 9² ................ 19²?
The mean of three distinct numbers is 30. If the third number is to the combined total of the first two numbers in the ratio 16:29, what is the sum of t...
Three-fifths of Rahul's salary is equal to Priya's salary, and two-thirds of Priya's salary is equal to Raj's salary. If the sum of their salaries is â‚...
The sum of two numbers is 18 while the sum of their squares is 164. Find the sum of the cubes of those two numbers.
