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Arithmetic Aptitude :: Problems on Numbers

  1. The difference between the digits of a two-digit number is 4. What is the digit in the unit's place? To find out the answer, which of the information given in the statements P and Q is/are sufficient?

    P: The difference between the number and the number obtained by interchanging the positions of the digits is 36.

    Q: The sum of the digits of that number is 12.

  2. A.
    Only P is sufficient
    B.
    Only Q is sufficient
    C.
    Both P and Q are needed
    D.
    Either P or Q is sufficient.

  3. The sum of the digits of a two-digit number is 14, and the difference between the digits is 2. Which of the following can be that number?

  4. A.
    95
    B.
    68
    C.
    86
    D.
    68 or 86

  5. If one-seventh of a number exceeds its eleventh part by 100, what is the number?

  6. A.
    770
    B.
    1100
    C.
    1825
    D.
    1925

  7. The difference between two numbers is 1550. If the larger number is divided by the smaller one, the quotient is 6, and the remainder is 20. What is the smaller number?

  8. A.
    306
    B.
    308
    C.
    310
    D.
    312

  9. The sum and difference of two numbers are 25 and 10 respectively. Find the difference of their squares.

  10. A.
    190
    B.
    200
    C.
    210
    D.
    220

  11. The product of two numbers is 300, and the sum of their squares is 625. What are the numbers?

  12. A.
    1025
    B.
    1125
    C.
    1225
    D.
    1325

  13. The difference between a two-digit number and the number obtained by interchanging the position of the digits is 45. What is the difference between digits of that number?

  14. A.
    6
    B.
    5
    C.
    7
    D.
    Data inadequate.

  15. The difference between a two-digit number and the number obtained by changing the positions of its digits is 36. What is the difference between the two digits of that number?

  16. A.
    3
    B.
    4
    C.
    9
    D.
    Cannot be determined.
    E.
    None of these.

  17. A two-digit number is such that the product of the digits is 8. When 18 is added to the number, then the digits are reversed. Find the number.

  18. A.
    18
    B.
    24
    C.
    42
    D.
    81