Practice No. System Questions and Answers

• 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’?...
• A number is initially increased by 37.5% and then reduced by 40%. The final value obtained after these changes is 6,270. Determine 80% of the original numb...
• 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...
• Find the greatest common divisor (GCD) of (x 2  - 9x + 14) and (x 2   + x - 56). 
• The coefficient of 'x 2 ' and 'x' in the expression (Ax + 5) (3 - 2x) are same, where 'A' is a positive integer. (A + 10) is how much percent of (A + 58) ?...
• What is the smallest natural number that must be multiplied to 750 so that the resultant number is a perfect square?
• An integer 'p' is added to each of 19, 25, 43 and 55 so that the resulting numbers will be in proportion in given order only. Find the value of '(p + 4) '....
• 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:
• A two-digit number decreases by 54 when its digits are reversed. If the sum of its digits is 10, what is the original number?
• What will be the number of factors of 1707552?
• In an arithmetic progression, the first term is 18, the common difference is 6, and the total number of terms is 48. What is the sum of all the terms in th...
• 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?