Number System Questions for Competitive Exams

Find the no. of prime factors in the product of 25¹² × 10⁷ x 14⁷ ? 

The value of $${3.157×4126×3.198\over63.972×2835.121}$$ is closest to : 

The sum of first sixty numbers from one to sixty is divisible by 

380 mangoes are distributed among some boys and girls who are 85 in numbers. Each boys gets four mangoes and each girls gets five. The number of boys is : 

The least number that must be added to 8961 to make it exactly divisible by 84 is 

The sum of three consecutive numbers is 87. The middle number is : 

In a two - digit number, the digit at the unit's place is 1 less than twice the digit at the ten's place. If the digits at units and ten's place are interchanged, the difference between the new and the original number is less than the original number by 20. The original number is: 

Divide 50 into two parts so that the sum of their reciprocals is   $${1\over 12} $$

In a class, there are ' z ' students. Out of them ‘x’ are boys. What part of the class is composed of girls? 

The numerator of a fraction is 4 less than its denominator. If the numerator is decreased by 2 and the denominator is increased by 1, the denominator becomes eight times the numerator. Find the fraction?