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Aptitude Test 135
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Aptitude Test 135

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  • Question 1/10
    1 / -0.33

    In the following questions, two statements numbered I and II are given. On solving them, we get quantities I and II respectively. Solve for both the quantities and choose the correct option.

    Quantity I: What is the simple rate of interest if a certain amount becomes 150% of itself in 8 years?

    Quantity II: Vinod invested Rs 50000 in a bank which offers compound rate of interest and got Rs 56180 after 2 years. What is the rate of interest?

    Solutions

     

  • Question 2/10
    1 / -0.33

    If the cost price, marked price and the selling price are in the ratio of 3 : 5 : 4 then what is the discount and profit % respectively?

    Solutions

     

  • Question 3/10
    1 / -0.33

    In the following questions, two statements numbered I and II are given. On solving them, we get quantities I and II respectively. Solve for both the quantities and choose the correct option.

    Quantity I: How many Engineers are there in the company such that if 12 engineers leave, 4/5th of the original number of Engineers remains in the company?

    Quantity II: What is the age(in years) of Vikas if 2 years ago his age was twice that of Manoj at that time? The present age of Manoj is 30 years.

    Solutions

    Quantity - I

    Let total number of Engineers in the company be x

    x−12=4x/5

    x=60

    Quantity - II

    Two years ago, age of Manoj =(30−2) years =28 years

    Age of Vikas 2 years back =(2×28) years =56 years

    So, present age of Vikas =(56+2) years =58 years

    Hence, the correct option is (A).

     

  • Question 4/10
    1 / -0.33

    Average of A and B is 72, average of B and C is 78, and the average of C and D is 80. What is the average of A and D?

    Solutions

     

    A+B=72×2=144…(i)

    B+C=78×2=156…( ii )

    C+D=80×2=160…(iii)

    Adding equations (i) and (iii) and subtracting equation (ii):

    A+D=148

    Average of A and D=148/2=74

    Hence, the correct option is (B).

     

  • Question 5/10
    1 / -0.33

    In a jar of 60 L juice, the ratio of syrup and water 2:1. To make this ratio 1:2, what quantity of water should be further added?

    Solutions

    Quantity of syrup =(60×2/3)L=40L

    Amount of water in it =(60−40)L=20L

    New ratio =1:2.

    Let x L of water is to be added further

    Then ratio =40 / (20+x)=1:2

    Or, 80=20+x

    Or, x=60.

    Hence, the correct option is (B).

     

  • Question 6/10
    1 / -0.33

    Find the wrong term in the series given below.

    34, 50, 98, 172, 290, 434

    Solutions

    The pattern is as follows:

    34 + 16 x 1 = 50

    50 + 16 x 3 = 98

    98 + 16 x 5 = 178

    178 + 16 x 7 = 290

    290 + 16 x 9 = 434

     

  • Question 7/10
    1 / -0.33

    There are two types of Rice, Rice A and Rice B whose prices are Rs 15/kg and Rs 30/kg respectively. In what ratio must A and B be mixed so on selling the mixture at Rs 25/kg we get a profit of 25%?

    Solutions

    cost price of the mixture =2/51.25=Rs20/kg

    Now the required ratio of A and B,AB=(30−20) / (20−15)=2:1

    Hence, the correct option is (D).

     

  • Question 8/10
    1 / -0.33

    If the length of a rectangle is increased in the ratio 7:9 and its breadth is decreased in the ratio 6:5, then its area will be increased in the ratio _______.

    Solutions

    Let the initial length of the rectangle be 7x

    Length after increase =9/7×7x=9x

    Let the initial breadth of the rectangle be 6x

    Breadth after decrease =5/6×6x=5x

    Therefore the required ratio =7x(6x):9x(5x)=14:15

    Hence, the correct option is (D).

     

  • Question 9/10
    1 / -0.33

    In the following questions, two statements numbered I and II are given. On solving them, we get quantities I and II respectively. Solve for both the quantities and choose the correct option.

    Quantity I: What is the value of the number if 125% of the number is 13 greater than 77?

    Quantity II: 50% of a number is 20% less than 80 then what is the value of the number?

    Solutions

    Quantity - I

    Let the number = N

    According to the question; 1.25N = 77 + 13

    =>N = 72

    Quantity - II

    Let the number = N

    According to the question; 0.5N = 80 X 0.8

    =>N = 128

     

  • Question 10/10
    1 / -0.33

    Find the wrong term in the series given below.

    1, 6, 44, 336, 3024, 30240

    Solutions

    The pattern is as follows:

    1 x 6 = 6

    6 x 7 = 42

    42 x 8 = 336

    336 x 9 = 3024

    3024 x 10 = 30240

     

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