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Numbers Test 33
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Numbers Test 33
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  • Question 1/20
    1 / -0

    In the examination a candidate must get 2/5th marks to pass, out of total marks.Shiyam appeared in the exam ang got 198 marks and still failed by 36 marks.The maximum mark is.

    Solutions

    Explanation :

    2x = 198+36 = 234

    Max = 234*5/2 = 585

     

  • Question 2/20
    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 numerator and denominator is.

    Solutions

    Explanation :

    5/27 = 9/27 = 1/3

    5/30 = 1/6

     

  • Question 3/20
    1 / -0

    One-third of a 2 digit number exceeds its one-fifth by 8.What is the 2 digit number ?

    Solutions

    Explanation :

    1/3(10x+y) -1/5(10x+y) = 8

    (10x+y)[5/15 – 3/15] = 8

    10x+y = 8*15/2 = 60

     

  • Question 4/20
    1 / -0

    12+22+……………………………………+242

    Solutions

    Explanation :

    Sum of square number = n(n+1)(2n+1)/6

    N = 24

    Sum = 24*25*49/6 = 4900

     

  • Question 5/20
    1 / -0

    Micael gets 3 marks for each correct questions and loses 2 marks for each wrong answers.He attempts 30 sum and obtain 30 marks.Find the no of Questions he answered correctly ?

    Solutions

    Explanation :

    18*3 – 12*2 = 54-24 = 30

     

  • Question 6/20
    1 / -0

    What half of a number is added to 234, it becomes five time of itself. What is the number ?

    Solutions

    Explanation :

    x/2 + 234 = 5x

    5x – x/2 = 234

    9x/2 = 234

    X = 234*2/9= 52

     

  • Question 7/20
    1 / -0

    Twenty times a positive integer is less than its square by 96. What is the Integer ?

    Solutions

    Explanation :

    X^2 – 20x = 96

    (x-24)(x+4) = 0

    X = 24

     

  • Question 8/20
    1 / -0

    There are some Parrots and Some Lions in a forest.If the total number of animals head in forest are 840 and total no of animal legs are 1760.What is the number of Parots in the forest ?

    Solutions

    Explanation :

    2x+4(840-x) = 1760

    2x+3360-4x = 1760

    -2x = 1600

    X = 1600/2 = 800

     

  • Question 9/20
    1 / -0

    When all the students in a school are made to stand in  row of 68, 40 such rows are formed.If the students are made to stand in the row of 20, how many such rows can be formed ?

    Solutions

    Explanation :

    No of row = 68*40/20 = 136

     

  • Question 10/20
    1 / -0

    A banana costs Rs.1.25 and Orange costs Rs2.75. What will be the total cost of 10 bananas and 2 dozens Orange ?

    Solutions

    Explanation :

    1.25*10 +2.75*24 = 12.5 +66 = 78.50

     

  • Question 11/20
    1 / -0

    A number is multiplied by 561, and the result obtained is 32,582. But it was found that both 2 in the number are wrong, what should be the correct answer? 

    Solutions

    Explanation: 

    561 = 3*11*17

    So the number must be divided by 3, 11 and 17

    Only B option is divided by all.

     

  • Question 12/20
    1 / -0

    If the number 10*47* is divisible by both 5 and 11, then the missing digits are respectively.

    Solutions

    Explanation: 

    Check the options in the number 10x47y

    all numbers will be divisible by 5 because in end it is 5 and 0

    for number to be divisible by 11, (y+4+0) – (7+x+1) should be divisible by 11

    from option A, y = 5, x = 1 gives (y+4+0) – (7+x+1) as 0 which is divisible by 11

     

  • Question 13/20
    1 / -0

    The sum of digits of a two digit number is 6. The ratio of the original number to the number formed by interchanging its digits is 4 : 7. Find the number.

    Solutions

    Explanation: 

    Let the number is 10x+y

    So x+y = 6

    And (10x+y)/(10y+x) = 4/7

    Solve, 2x = y and from above we have x+y = 6

    Solve both equations, x = 2, y = 4

     

  • Question 14/20
    1 / -0

    When a number is multiplied by 13 and 13 is added to the product, the resultant is divisible by 5. Find the smallest number possible? 

    Solutions

    Explanation: 

    13x + 13 which is divisible by 15, or 13(x+1) should be divisible by 5. The smallest value of x = 4 to be put here to make it divisible by 5. So the number is 13(4+1)

     

  • Question 15/20
    1 / -0

    Find the least number which must be subtracted from 103876 to make the obtained number divisible by 16.

    Solutions

    Explanation: 

    103876/16 gives remainder 4, so 4 should be subtracted

     

  • Question 16/20
    1 / -0

    The difference between two numbers is 2577. The quotient and remainder are respectively 26 and 2 when the larger number is divided by the smaller one. What is the largest number? 

    Solutions

    Explanation: 

    Smaller no = x, then larger = x+2577

    Now x+2577 = 26x + 2

    Solve, x = 103

    So larger no is = 103+2577

     

  • Question 17/20
    1 / -0

    The difference between the digits of a two digit number is 5. Also the original number is 18 more than two times the number obtained by reversing its digits. Find the original number. 

    Solutions

    Explanation: 

    Let number is 10x+y

    Then x-y = 5 or y-x = 5

    Now given that, 10x+y = 2(10y+x) + 18

    Solve, 8x – 19y = 18

    Now solve: 8x – 19y = 18 and x-y = 5. In this y = 2, x = 7

    And also solve; 8x – 19y = 18 and y-x = 5. In this y come to be negative which is not possible so discard this

    So number is 10*7 + 2

     

  • Question 18/20
    1 / -0

    A number when divided by 462 gives the remainder as 25. When same number is divided by 14, the remainder will be? 

    Solutions

    Explanation: 

    Let x be the quotient, then that number becomes 462*x + 25

    Which = (22x * 14) + (14*1)+11

    Which = 14 (22x + 1) + 11

     

  • Question 19/20
    1 / -0

    Kavya attends 40 questions and get 96 marks. If 3 marks are given for each correct answer and 1 mark is deducted for each wrong answer, find the number of question she attended correct? 

    Solutions

    Explanation: 

    Let she attend x correct answers out of 40, then incorrect = 40-x

    So x*3 – (40-x)*1 = 96

    Solve, x = 34

     

  • Question 20/20
    1 / -0

    When 1 is added to the numerator of a fraction it becomes 1/4 and 1 is subtracted from the denominator of that fraction it becomes 1/5. Find the fraction. 

    Solutions

    Explanation: 

    Let fraction = x/y

    Then (x+1)/y = 1/4

    And x/(y-1) = 1/5

    Solve both equations, x = 3, y = 16

     

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