Practice No. System Questions and Answers

• 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?
• 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...
• If '3849x' is a five digit number which is divisible by 91, then find the value of 'x'.
• Calculate the difference between number of factors and sum of factors of 396.
• What is the highest possible sum of (x + y) if the number '7x542y6' is divisible by 12?
• What is the highest possible sum of (m + n) if the number '9m813n2' is divisible by 12?
• What is the highest possible sum of (p + q) if the number '4p679q3' is divisible by 12?
• What is the highest possible sum of (u + v) if the number '6u317v4' is divisible by 12?
• A two-digit number has a sum of its digits equal to 9. Additionally, if 27 is subtracted from this number, the resulting number has its digits reversed. Wh...
• A two-digit number has a sum of its digits equal to 10. Additionally, if 36 is subtracted from this number, the resulting number has its digits reversed. W...
• A two-digit number has a sum of its digits equal to 8. Additionally, if 27 is subtracted from this number, the resulting number has its digits reversed. Wh...
• A two-digit number has a sum of its digits equal to 11. Additionally, if 54 is subtracted from this number, the resulting number has its digits reversed. W...
• A two-digit number has a sum of its digits equal to 12. Additionally, if 45 is subtracted from this number, the resulting number has its digits reversed. W...
• A number leaves a remainder of 12 when divided by 19. What will be the remainder when three times that number is divided by 19?
• A number when divided by 21 gives a remainder of 15. What will be the remainder when twice that number is divided by 21?
• A certain number gives a remainder of 8 when divided by 17. What will be the remainder when four times that number is divided by 17?
• A number when divided by 25 leaves a remainder of 19. What will be the remainder when five times that number is divided by 25?
• A number gives a remainder of 14 when divided by 29. What will be the remainder when six times that number is divided by 29?