Practice No. System Questions and Answers

• The number of pencils with ‘Ravi’ and ‘Shyam’ together is 30 more than that with ‘Karan’, while the number of pencils with ‘Shyam’ and ‘K...
• The number of books with ‘Aarav’ and ‘Bhavna’ together is 18 more than that with ‘Chirag’, while the number of books with ‘Bhavna’ and ‘C...
• Determine the total sum of all three-digit numbers that are divisible by both 2 and 7.
• Determine the smallest 4-digit number that, when divided by 15, 24, and 30, leaves a remainder of 5 each time.
• The sum of the exponents of the prime factors in the prime factorization of 225 is
• The sum of the exponents of the prime factors in the prime factorization of 108 is
• The sum of the exponents of the prime factors in the prime factorization of 588 is
• In a company, there are men, women, and boys working. The total daily payment to all workers is Rs. 6,390. The number of men is 20% more than the number of...
• In 2017, Bangladesh imported 60% of its total wheat requirement, while the remaining 40% was produced domestically. In 2018, the country's wheat production...
• Harish decided to distribute Rs.16,250 among his three sons Rohit, Ashish and Dinesh such that Ashish would get 1/4th of what Rohit and Dinesh would togeth...
• A = (5/2) × B and C = (1/10) × A. If (A + B + C) = 255, then determine the value of (7C – B).
• A = (7/3) × B and C = (1/14) × A. If (A + B + C) = 360, then determine the value of (10C – B).
• A = (9/4) × B and C = (1/12) × A. If (A + B + C) = 300, then find the value of (12C – B).
• A = (11/5) × B and C = (1/22) × A. If (A + B + C) = 440, then find the value of (15C – B).
• The digits of a two-digit number ‘N’ are reversed to form a new number ‘M’. If M < N and N – M = 45, then which of the following maybe ‘N’? ...
• The digits of a two-digit number ‘N’ are reversed to form a new number ‘M’. If M < N and N – M = 27, then which of the following maybe ‘N’?...
• The digits of a two-digit number ‘N’ are reversed to form a new number ‘M’. If M < N and N – M = 63, then which of the following maybe ‘N’?...
• How many unique five-digit numbers can be created using the digits 0, 1, 5, 6, 7, and 8, without repeating any digit?
• The sum of two numbers is 801. When the larger number is divided by the smaller one, it results in a quotient of 41 with a remainder of 3. What is the diff...
• Three numbers are in the ratio 5:7:11. If the difference between the sum of the smallest and the largest number and the sum of the smallest and the second ...
• Three numbers are in the ratio 3:5:8. If the difference between the sum of the smallest and the largest number and the sum of the smallest and the second l...
• Three numbers are in the ratio 6:9:14. If the difference between the sum of the smallest and the largest number and the sum of the smallest and the second ...
• Three numbers are in the ratio 2:5:7. If the difference between the sum of the smallest and the largest number and the sum of the smallest and the second l...
• If  x and y are the two digits of the number 115xy such that this number is divisible by 90, then the value of  x + y is:
• If the difference between two numbers is 52 and they are in the ratio 7 : 3, then find the greater of the two numbers.
• Which of the following is the greatest number that divides 72 and 119 and leaves 3 and 4 as respective remainders?
• A set consists of four consecutive even numbers and three consecutive odd numbers. The smallest even number is three times the value of the smallest odd nu...
• The total of three numbers, A, B, and C, is 2450. The second number, B, is 4/7 greater than the first number, A. The third number, C, exceeds A by 375. Det...
• Which of the following pairs of numbers are co-primes?
• Find the smallest number by which 6300 must be multiplied to make it a perfect square.
• The smallest natural number that must be added to 1212 to make it a perfect square is:
• How many numbers in the range from 200 to 800 are divisible by 4, 8, and 16?
• How many numbers in the range from 150 to 1000 are divisible by 5, 10, and 20?
• How many numbers in the range from 300 to 900 are divisible by 7, 14, and 28?
• How many numbers in the range from 50 to 500 are divisible by 3, 6, and 9?
• Which of the following pairs is NOT coprime?
• This question is based on the following 3-digit numbers: 543, 769, 552, 342, 245 (Example: 697 – First digit = 6, second digit = 9, and third digit = 7) ...
• The sum of two numbers is 32 and one of them exceeds the other by 18. Find the greater number.
• When (406 77  + 55) is divided by 58, the remainder is:
• A number 'x' is first multiplied by 11, and the result is subtracted from its square. After adding 24 to the resulting value, the final outcome is zero. Gi...