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Numbers Test 28
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Numbers Test 28
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  • Question 1/10
    1 / -0

    Two third of a positive number and 25/216 of its reciprocal are equal.The number is

    Solutions

    Explanation :

    (2/3)x = (25/216)(1/x)

    X^2 = (25×3)/(216×2) = 25/144

    X = 5/12

     

  • Question 2/10
    1 / -0

    If 2(1/2) is added to a number and the sum multiplied by 4(1/2)and 3 is added to the product and then divide the sum by 1(1/5), the quotient becomes 25 .What is the number ?

    Solutions

    Explanation :

    {4(1/2)[X+2(1/2)]+3}/[1(1/5)] = 25

    (9X/2)+(45/4)+3 = 25×(6/5)

    9X/2 =63/4

    X=7/2 or 3(1/2)

     

  • Question 3/10
    1 / -0

    In a division sum ,the divisor is 3 times the quotient and 6 times the remainder.If the remainder is 2 then the dividend is

    Solutions

    Explanation :

    Divident = Quotient × Divisor +Remainder

    Divisor = 6×2 = 12

    Q = 12/3 =4

    Divident = 4×12+3 =48+2 = 50

     

  • Question 4/10
    1 / -0

    The sum of two number is 24.The greatest product of these two numbers can  be

    Solutions

    Explanation :

    X + Y = 24

    Greatest Product then x and y must be equal

    Possibility of getting 24

    12+12= 24

    12×12 = 144

     

  • Question 5/10
    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^2-20X-96 = 0

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

    X= 24, -4

    positive integer = 24

     

  • Question 6/10
    1 / -0

    If (a-b) 3, (b-c) = 5 and (c-a) = 1 then the value of (a^3+b^3+c^3-3abc)/(a+b+c)

    Solutions

    Explanation :

     

  • Question 7/10
    1 / -0

    The product of the 2 consecutive odd number is 6723.What is the greater number ?

    Solutions

    Explanation :

    X ×(X+2) = 6723

    X^2 + 2X = 6723

    X^2+2X-6723 = 0

    (X – 81)(X+83) = 0

    Greatest number = 83

     

  • Question 8/10
    1 / -0

    The sum of three number is 264. If the first number be twice the second and third number be one third of the first then the second number is

    Solutions

    Explanation :

    2X+X+(2X/3) = 264

    (6X+3X+2X)/3 = 264

    11X/3 = 264

    X= (264×3)/11 = 72

     

  • Question 9/10
    1 / -0

    If the number obtained on interchanging the digits of a 2 digit number is 18 more than the original number and the sum of the digit is 8.Then what is the original number?

    Solutions

    Explanation :

    Unit digit= x ;  Ten’s digit = (8-x)

    [10(8-x)+x] – [10x+(8-x)] = 18

    80-10x+x-10x-8+x = 18

    -18x = 18-80+8

    18x = 54

    X = 54/18 = 3

    8 – x = 8 – 3 =5

    Hence the number is 35

     

  • Question 10/10
    1 / -0

    The sum of three consecutive multiple of 4 is 72 .What is the largest number ?

    Solutions

    Explanation :

    4x+(4x+4)+(4x+8) = 72

    12x+12 = 72

    X=(72-12)/12

    X=5

    Largest number = 4(5)+8 = 20+8 = 28

     

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