Practice No. System Questions and Answers

• Find the number of zeroes in the end of 100!
• Find the number of zeroes in the end of 160!
• Find the number of zeroes in the product of 60 × 61 × 62 × ........ × 80?
• Find the number of zeroes in the product of 20 × 21 ×  22 ×   ........ ×   40? ...
• What is least number which when successively divided by 5, 3 and 4 leaves a remainder 4, 2 and 3 respectively? ...
• Least number which when multiplied to 325 gives a perfect square: ...
• Least number which when multiplied to 3456 gives a perfect cube: ...
• How many times I write digit ‘1’ in first hundred natural numbers? 
• 111(16 - 1) is divisible by  ...
• Least number which when subtracted from 5442 gives a perfect square is: ...
• Least number which when subtracted from 6509 so that it is divisible by 58? ...
• How many digits are required to write first 500 natural numbers?
• 11 4 + 11 5 + 11 6 is divisible by  ...
• ³√64/√64 ÷ √(225/81) x ³√125 is equal to:
• (5.53 – 4.07) 2/(4.07 – 3.15)(3.15 – 5.53) + (4.07 – 5.53) 2/(3.15 – 5.53)(5.53 – 4.07) + (3.15 – 5.53) 2/(5.53 – 4.07)(4.07 – 3.15) is s...
• The divisor is 35 times the quotient and 7 times the remainder. If the quotient is 18, the dividend is : 
• The unit’s digit in the product 1771 × 2663 × 3365 is 
• If the difference of two numbers is 4 and the difference of their squares is 56, then the larger number is
• Convert 32.56 into binary system?
•    find the value of this? 
• If x and y are two digits of the number 85254xy such that this number is divisible by 90. Find the minimum value of x + y?
• In a question of division, if dividend is 21 times of remainder and quotient is 1/2 of divisor, if remainder is least multiple of 2 and 5 both then find th...
• What will be remainder if 29088/ 6?
• All rational numbers are ______ numbers.
• Find the fourth proportional to 2, 3, 6.
• À two-digit number decreases by 18 when its both digits are written in reverse order. If unit digit of original number is equal to the unit digit of 226. ...
• Sum of two digits of a two digit number is 11. When digits of the number are reversed then number formed is 45 more than the original number. Find the orig...
• What is the unit digit of the sum of first 111 whole numbers?
• How many 100 digit positive numbers are there?
• What is the unit digit of (217)413 × (819)547 × (414)624 × (342)812?
• N is the largest two digit number, which when divided by 3, 4 and 6 leaves the remainder 1, 2 and 4 respectively. What is the remainder when N is divided b...
• A and B are positive integers. If A + B + AB = 65, then what is the difference between A and B (A, B ≤ 15)?
• If the 5-digit number 535ab is divisible by 3, 7 and 11, then what is the value of (a²-b² + ab)?
• 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) ?
• Two positive numbers differ by 1280. When the greater number is divided by the smaller number, the quotient is 7 and the remainder is 50. The greater numbe...
• The difference of two numbers is 1365. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder. What is the smaller numb...
• Let p be a prime number. Then √p is:
• If the numerator of a fraction is increased by 200% and the denominator is increased by 400%, the resultant fraction is 9/25 . What was the original fracti...
• In a division sum, the divisor is 12 times the quotient and 4 times the remainder. If the remainder is 72, the dividend is?