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Number System problems


  • 1. 
    The difference between two number is 18 if four times the second number is less then three what is the sum these two number?

  • Options
  • A. 100
  • B. 80
  • C. 86
  • D. 92
  • Discuss
  • 2. 
    A number is greater than the square of 44 but smaller than the square of 45. If one part of the number is the square of 6 and the number is a multiple of 5, then find the number.?

  • Options
  • A. 1940
  • B. 2080
  • C. 1980
  • D. Cannot be determined
  • Discuss
  • 3. 
    When a certain number is multiplied by 13, the product consists entirely of fives. The smallest such number is?

  • Options
  • A. 41625
  • B. 42515
  • C. 42735
  • D. 42135
  • Discuss
  • 4. 
    A number consist of two digit whose sum is 10 If the digit of the number are reversed then the number decreased by 36. Which of the following is correct.

    I. The number is divisible by a composite number.
    II. The number is a multiple of a prime number.

  • Options
  • A. only I
  • B. only II
  • C. Both I and II
  • D. Neither I nor II
  • Discuss
  • 5. 
    Every prime number of the form 3k + 1 can be represented in the form 6m + 1 (where k, m are integers), When

  • Options
  • A. k is odd
  • B. k is even
  • C. k can be both odd and even
  • D. No such from is possible
  • Discuss
  • 6. 
    A number consist of two digit whose sum is 10. If the digits of the number are reversed, then the number decreased by 36. Which of the following is/are correct?
    I. The number is divisible by a composite number.
    II. The number is multiple of a prime number.

  • Options
  • A. Only I
  • B. Only II
  • C. Both I and II
  • D. neither I nor II
  • Discuss
  • 7. 
    If the numerator of a certain fraction is increased by 2 and the denominator is increased by 1, then the resulting fraction is equal to the 1/2. If how ever the numerator is increased by 1, then denominator is decreased by 2, then the resulting fraction is equal to 3/5. Find the original fraction?

  • Options
  • A. 2/7
  • B. 3/5
  • C. 1/7
  • D. 2/5
  • Discuss
  • 8. 
    The sum of five consecutive odd numbers is equal to 175. What is the sum of the second largest number and the square of the smallest number among them together?

  • Options
  • A. 989
  • B. 997
  • C. 979
  • D. 995
  • Discuss
  • 9. 
    Out of three given numbers, the first number is twice the second and thrice the third. If the average of these three numbers is 154, then what is the difference between the first and the third numbers?

  • Options
  • A. 126
  • B. 42
  • C. 168
  • D. 52
  • Discuss
  • 10. 
    The differences between two numbers is 18. If four times the second numbers is less than three times the first number by 18, then what is the sum of these two numbers?

  • Options
  • A. 100
  • B. 80
  • C. 86
  • D. 90
  • Discuss

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