Practice No. System Questions and Answers

• How many digits are required to write first 250 natural numbers? ...
• How many digits are required to write first 500 natural numbers?
• 11 4 + 11 5 + 11 6 is divisible by  ...
• Find the sum of all factors of 60?
• (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
• Out of four numbers the average of the first three is 16 and that of the last three is 15. If the last number is 20 then the first 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?
• N is a three-digit number. N2= ………74, how many possible values for N? 
• Find the remainder of (46)93 + (48)47  / 47 ?
• 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?
• If the number 985212m8 is completely divisible by 11, then the smallest whole number in place of ‘m’ would be:
• 325 mangoes are distributed among some boys and girls who are 60 in numbers. Each boys gets five mangoes and each girls gets six. The number of boys is :
• Find the digit which will come at the unit place after solving the following expression (769 × 394 × 942)
• What is the average of all the prime numbers which are less than 35?
• The numerator of a fraction is 2 less than its denominator. If the numerator is decreased by 2 and the denominator is increased by 3, the denominator becom...
• A man spends 1/7 of his income on food, 3/5 of his income house rent and 1/4 of his income on clothes. If he still has Rs. 200 left with him, his income is...
• What is the average of all the prime numbers which are less than 35?