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Numbers Test 34
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Numbers Test 34
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  • Question 1/20
    1 / -0

    The sum of the digits of two-digit number is 5. If the number is reversed, the number is decreased by 27. Find the number?

    Solutions

    Explanation :

    Let the number be (10a + b)

    given, a +b = 5 and (10a + b) – (10b +a) = 27

    a – b = 3 and a +b = 5

     

  • Question 2/20
    1 / -0

    The ratio between a two-digit number and the sum of the digits of that number is 3:1. If the digit in the unit’s place is 5 more than digit at ten’s place, what is the number?

    Solutions

    Explanation :

    Let the two-digit number be 10a + b

    (10a + b)/(a+b) = 3/1, 7a = 2b

    And also given b = 5 + a

    Solve both equations to get the number

     

  • Question 3/20
    1 / -0

    How many numbers are there up to 1000 which are divisible by 4, 6 and 8 together?

    Solutions

    Explanation :

    LCM of 4,6 and 8 is 24

    Divide 1000 by 24, we get quotient  = 41 and 16 as remainder

    so 41 numbers are there which are divisible by 4,6 and 8 together.

     

  • Question 4/20
    1 / -0

    What is the number in the unit place of the number (129)^58?

    Solutions

    Explanation :

    [(129)^2]^29 = (1)^29 = 1 (9^2 always result in 1 on unit place)

     

  • Question 5/20
    1 / -0

    A number when divided by 5 leaves a remainder 4. What is the remainder when the square of the same number is divided by 5?

    Solutions

    Explanation :

    Le the number be 5a + 4

    square of the number = 25a^2 + 16 + 40a

    so remainder = 1 (16 divided by 5 leaves a remainder 1)

     

  • Question 6/20
    1 / -0

    When a number is divided by 527 gives the remainder as 21. When the same number is divided by 17, the remainder will be?

    Solutions

    Explanation :

    Let the number be 527a + 21

    when divided by 17, 527a is divisible by 17 and leaves remainder as 4 when 21 is divided by 17

     

  • Question 7/20
    1 / -0

    If 4 is added to the numerator of a fraction it becomes 1/3 and if 3 is added to the denominator it becomes 1/6 then find the difference between numerator and denominator is.

    Solutions

    Explanation :

    (a +4)/b = 1/3 and a/(b+3) = 1/6 solve both the equations, u will get a = 5 and b = 27

     

  • Question 8/20
    1 / -0

    When one-fourth of a number is added to 16, it becomes three-fourth of itself. Find the number?

    Solutions

    Explanation :

    a/4 + 16 = 3a/4,

    2a/4 = 16, so a = 32

     

  • Question 9/20
    1 / -0

    In the examination a candidate must get 3/8th marks to pass, out of total marks. Shyam appeared in the exam and got 300 marks and still failed by 36 marks. The maximum mark is.

    Solutions

    Explanation :

    Let total marks = M

    (3/8)*M = 300 + 36 = 336

    M = 112*8 = 896

     

  • Question 10/20
    1 / -0

    Two different numbers are divided by the same divisor and left remainder 11 and 17 respectively and when their sum was divided by the same divisor, remainder was 4. What is the divisor?

    Solutions

    Explanation :

    Let the divisor  = D

    so, first number = D*a + 11 and second number = D*b +17

    so sum of numbers = D*(a + b) + 28

    given that remainder is 4 so, the number is 24

     

  • Question 11/20
    1 / -0

    The sum of the digits of a two-digit number is 6. If the digits are reversed, the number is decreased by 36. Find the number?

    Solutions

    Explanation :

    a + b = 6

    (10a + b) – (10b +a) = 36, a – b = 4

    We get a = 5 and b = 1

    So number is 51

     

  • Question 12/20
    1 / -0

    If the places of last two-digits of a three digit number are interchanged, a new number greater than the original number by 36 is obtained. What is the difference between the last two digits of that number?

    Solutions

    Explanation :

    let the number be 100a + 10b + c

    (100a + 10b +c) – (100a + 10c +b) = 36

    b – c = 4

     

  • Question 13/20
    1 / -0

    A number when divided by 837 leaves a remainder of 79. What will be the remainder when the same number is divided by 31?

    Solutions

    Explanation :

    Number = 837*a + 79

    when this number is divided by 31, it leaves remainder of 17 (837 is completely divisible)

     

  • Question 14/20
    1 / -0

    The numerator of a rational number is 4 less than the denominator. If the numerator is increased by 15 and denominator is decreased by 4, we get 6. Find the rational number?

    Solutions

    Explanation :

    let the fraction is (p-4)/p

    now, (p -4 + 15)/(p-4) = 6

    we get p = 7

    so fraction = 3/7

     

  • Question 15/20
    1 / -0

    When a number is added to 20 percent of the second number, we get 150 percent of the second number. Find the ratio between the first and second number?

    Solutions

    Explanation :

    a + (20/100)*b = (150/100)*b

    a:b = 13:10

     

  • Question 16/20
    1 / -0

    Two different numbers when divided by same divisor leaves remainder 7 and 9 respectively. When their sum is divided by the same divisor remainder was 4. Find the divisor?

    Solutions

    Explanation :

    Let first number N1 = D*a + 7

    and second number N2 = D*b + 9

    N1 + N2 = (a+b)*D + 16

    Remainder is 4, so D will be 12

     

  • Question 17/20
    1 / -0

    A number gets reduced to its two-third when 24 is subtracted from it. Find one-eighth of the number?

    Solutions

    Explanation :

    a – 24 = 2a/3

    we get a = 72

    so one-eighth of the number = 72/8 = 9

     

  • Question 18/20
    1 / -0

    Three numbers are in the ratio 4:3:5. If the difference between thrice the third number and the sum of first and second number is 64. Find the difference between the first and third number?

    Solutions

    Explanation :

    15x – (7x) = 64, we get x = 8

    difference between first and third number = 5x – 4x = x = 8

     

  • Question 19/20
    1 / -0

    One-fifth of a number when subtracted from one – third of the number gives 24. Find the square of the number.

    Solutions

    Explanation :

    a/3 – a/5 = 24

    a = 180, so square = 32400

     

  • Question 20/20
    1 / -0

    25% of a number is 2 times 65% of another number. Find the ratio of the second no to the first number?

    Solutions

    Explanation :

    (25/100)*a = 2*(65/100)*b

    b:a = 5:26

     

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