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Aptitude Test - 13
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Aptitude Test - 13
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  • Question 1/10
    1 / -0

    The sum of two numbers is 36 and their H.C.F and L.C.M. are 3 and 105 respectively. The sum of the reciprocals of two numbers is

    Solutions

    Let the no. be 3x and 3y

    3x + 3y = 36

    x + y =12 ……(1)

    3xy =105

    xy =35 ……(2)

    Dividing eq1 by 2

    We have, 

    (x+y)/xy = 12/35

    1/y + 1/x = 12/35

    now, since the numbers were 3x and 3y, divide whole equation by 3.

    1/3y + 1/3x = 4/35

    Hence option 3 is correct.

  • Question 2/10
    1 / -0

    30% of A's salacy, is equal to 20% of 3/5 th of B's salary. If B's salary is 2400, then what is A's salary?

    Solutions

  • Question 3/10
    1 / -0

    A and B are two alloys of gold and copper prepared by mixing metals In ratios 7 : 2 and 7 : 11 respectively. If equal quantities of the alloys are melted to form a third alloy C. the ratio of gold and copper in C will be:

    Solutions

    Amount of gold and copper in A = 7/9 and 2/9

    Amount of gold and copper in B = 7/18 and 11/18

    Ratio of gold and copper in C will be

    =(7/9+7/18) : (2/9+11/18)

    =(21/18):(15/18)

    =21:15

    =7:5

  • Question 4/10
    1 / -0

    If 3 (a2 + b2 + c2) = (a + b + c)2 and a, b, c are non-zero real numbers, then

    Solutions

    3 (a2 + b2 + c2) = (a + b + c)2 

    = 3a2 + 3b2 + 3c2 = a2 + b2 + c2 

    +2ab + 2bc + 2ca 

  • Question 5/10
    1 / -0

    Sum of two third of x and 50% of y is equal to sum of 80% of x and 30% of y then what is respective ratio of x and y?

    Solutions

  • Question 6/10
    1 / -0

    Find the sum of all positive multiples of 3 less than 50

    Solutions

     

    Sum of all multiples of 3 upto 50 

  • Question 7/10
    1 / -0

    The number of prime factors in

     6333 × 7222 × 8111

    Solutions

    Therefore number of prime factors = 666 + 333 + 222 = 1221 

    Hence Option A is correct

  • Question 8/10
    1 / -0

    The x-intercept of the graph of 7x - 3y = 2 is 

    Solutions

    Similarly, putting

    x = 0

    in 

  • Question 9/10
    1 / -0

    One-third of the square root of which number is 0.001?

    Solutions

    According to question

  • Question 10/10
    1 / -0

    The LCM of two numbers is 4 times their HCF. The sum of LCM and HCF is 125.If one of the numbers is 100, then the other number is?

    Solutions

    If LCM be L and HCF be H, then

    L = 4H 

    ∴ H + 4H = 125 

    ⟹ 5H = 125

    ⟹ H = 25

    ⟹ L = 100

    Product of two numbers = Product of their LCM & HCF

    100 * Second Number = 25*100

    Second Number = 25

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