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Aptitude Test 246
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Aptitude Test 246
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  • Question 1/10
    1 / -0.33

    Directions For Questions

    In following questions, two quantities numbered 1 and 2 are given. Calculate values of both quantities and choose the correct option.

    ...view full instructions

    A biscuit company sells two brands of biscuits named GoodTaste and GoodSweet. In 2017, the company manufactured GoodTaste and GoodSweet biscuit packets in the ratio of 17: 13 respectively but during that year, the sales of these two brands biscuits packet was in the ratio of 9: 7 respectively.

    Quantity 1(Q1): if 10% of the total GoodTaste biscuit packets was unsold then what percent of total GoodSweet biscuit packets was sold out?

    Quantity 2(Q2): 95%

    Solutions

    In 2017, let the total number of GoodTaste biscuit packets manufactured by the company be 17a

    Then, the total number of GoodSweet biscuit packets manufactured by the company = 13a

    Let the sales of GoodTaste biscuit packets be 9b then the sales of GoodSweet biscuit packets = 7b

    Quantity 1:

    90% of 17a = 9b

    b = 1.7a

    The total number of GoodSweet biscuit packets sold by the company = 7b = 7*1.7a = 11.9a

    The required percentage = 11.9a*100/13a = approximately 91.54%

    Therefore, Q1 < Q2

     

     

  • Question 2/10
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    The average of the length and breadth of a rectangle is 7 cm and the length of its diagonal is 10 cm. What is the area of the rectangle?

    Solutions

    Let the length and breadth of the rectangle be 'l' cm and 'b' cm respectively.

    Given, (l + b)/2 = 7

    => l + b = 14

    Also, √(l2 + b2) = 10

    => l2 + b2 = 100

    => (l + b)2 - 2lb = 100

    => 142 - 2lb = 100

    => 2lb = 96

    => lb = 48

    => Area of the rectangle = 48 cm2

     

  • Question 3/10
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    In a certain company, 55% of the total employees are below 30 years old, 80% of the total employees are below 50 years old and the remaining 248 employees are above 50 years old. What is the total number of employees who are above 30 years old but below 50 years old?

    Solutions

    Let the total number of employees in the company = a

    The number of employees below 30 years old = 55% of a = 0.55a

    The number of employees below 50 years old = 80% of a = 0.8a

    The remaining number of employees = a - 0.8a = 0.2a = 248

    a = 248/0.2 = 1240

    The number of employees who are above 30 years old but below 50 years old = 0.8a - 0.55a = 0.25a = 0.25*1240 = 310

     

  • Question 4/10
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    Rakesh can finish a work by working 10 hours a day for 18 days whereas Vinay can finish the same work by working for 20 days 8 hours a day. If both started working together 10 hours a day then how much time they will take to finish the same work?

    Solutions

    Amount of work done by Rakesh in one hour = 1/180

    Amount of work done by Vinay in one hour = 1/160

    Work done by Rakesh and Vinay in one day = 10 X (1/180+1/160)

    = 17/144

    Therefore time taken to complete the entire work = 1 ÷ 17/144

    = 144/17=(8) (8/17) days

     

  • Question 5/10
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    Find the next term in the series.

    152, 168, 204, 268, 368, ?

    Solutions

    The pattern is as follows:

    152 + 42 = 168

    168 + 62 = 204

    204 + 82 = 268

    268 + 102 = 368

    368 + 122 = 512

     

  • Question 6/10
    1 / -0.33

    5 years ago, the ratio of ages of Xerxes and Yolanda was 3:2. If the difference between their present ages is 8 years, what will be the ratio of their ages 7 years from now?

    Solutions

    Let the present ages of Xerxes and Yolanda be 'x' years and 'y' years respectively.

    Given, (x - 5)/(y - 5) = 3/2

    => 2x - 10 = 3y - 15

    => 3y - 2x = 5..(i)

    Also, x - y = 8..(ii)

    (i) + 2*(ii) gives,

    y = 21

    ∴ x = 21 + 8 = 29

    ratio of their ages 7 years from now = (29 + 7):(21 + 7) = 36:28 = 9:7

     

  • Question 7/10
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    Directions For Questions

    Directions : The following bar graph represents number red coloured balls decorated in five different halls.

    (Total number of balls in each hall = Number of red balls + number of blue balls)

    The following table shows the ratio of number of red balls and number of blue balls decorated in five different halls.

    ...view full instructions

    Number of blue balls in Hall B forms approximately what percent of total number of balls in Hall B?

    Solutions

    Number of blue balls in Hall B = 48

    Number of red balls in Hall B = 64

    Total number of balls in Hall B = 64 + 48 = 112

    Required percentage = 48/112 x 100 = 42.85% = 43% approx.

     

  • Question 8/10
    1 / -0.33

    Directions For Questions

    Directions : The following bar graph represents number red coloured balls decorated in five different halls.

    (Total number of balls in each hall = Number of red balls + number of blue balls)

    The following table shows the ratio of number of red balls and number of blue balls decorated in five different halls.

    ...view full instructions

    Find the respective ratio of number of blue balls in Hall C and number of red balls in Hall B.

    Solutions

    Number of blue balls in Hall C = 60

    Number of red balls in Hall B = 64

    Required ratio = 60 : 64 = 15:16

     

  • Question 9/10
    1 / -0.33

    Directions For Questions

    Directions : The following bar graph represents number red coloured balls decorated in five different halls.

    (Total number of balls in each hall = Number of red balls + number of blue balls)

    The following table shows the ratio of number of red balls and number of blue balls decorated in five different halls.

    ...view full instructions

    Number of blue balls in Hall D is what percent of the number of red balls in Hall A?

    Solutions

    Number of blue balls in Hall D = 140

    Number of red balls in Hall A = 70

    Required percentage = 140/70 x 100 = 200%

     

  • Question 10/10
    1 / -0.33

    Directions For Questions

    Directions : The following bar graph represents number red coloured balls decorated in five different halls.

    (Total number of balls in each hall = Number of red balls + number of blue balls)

    The following table shows the ratio of number of red balls and number of blue balls decorated in five different halls.

    ...view full instructions

    Find the difference between number blue balls in Hall A and number of blue balls in Hall E.

    Solutions

    Number of blue balls in Hall A = 84

    Number of blue balls in Hall E = 29

    Required difference = 84 - 29 = 55

     

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