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LIC AAO & AE 2020 Aptitude Test - 9
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LIC AAO & AE 2020 Aptitude Test - 9
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  • Question 1/10
    1 / -0

    Rahul invests Rs.3600 at simple interest of x% per annum for x years and after x years he received the interest is Rs.900. If he also invests the Rs.(3600 + y) in simple interest scheme at 2x% per annum for (x + 3) years and then he received the interest for after (x + 3) years is Rs.3840. Find the value of y?

    Solutions

    3600 * x * x/100=900

    x=5

    (3600 + y) * 10 * 8/100=3840

    3600 + y=4800

    Y=1200

     

  • Question 2/10
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    The total number of employees in the company is 1200 and the female employees of the company is x%. If the number of male is 240 less than that of the number of female employees in the company, then find the value of x?

    Solutions

    (x/100 – (100 – x)/100) * 1200 =240

    X – 100 + x=20

    2x=120

    X=60

     

  • Question 3/10
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    If the ratio of the radius to height of the cylinder is 7:12 and the volume of the cylinder is 14784 cm, then the height of the cylinder is equal to the height of the cone. If the slanting height of the cone is 25 cm, then find the radius of the cone?

    Solutions

    14784=22/7 * 7x * 7x * 12x

    X=2 cm

    Height of the cone=12 * 2=24 cm

    Radius of the cone=√252 – 242 =7 cm

     

  • Question 4/10
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    If the length of train A to B is 4:5 and the ratio of the speed of train A to train B is 6:3. Train A crosses the pole and train B in 12 seconds and 18seconds respectively. Find the length of train B, if train A and B running in opposite direction?

    Solutions

    4x=6y * 5/18 * 12

    4x=20y

    X=5y

    9x=(9y) *5/18 * 18

    X=5y

     

  • Question 5/10
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    The ratio of the ages of A to B is 4:5 and the ratio of the ages of C and D is 2:3. C is 25 years younger thanB and A’s age is 20% more than that of D’s age. Find the sum of the ages of A, B, C and D together?

    Solutions

    A/B=4/5

    B=5A/4

    4B/5=A

    A=120/100 * D=6D/5

    5A/6=D

    B=C + 25

    5A/4 =C + 25

    C/D=2/3

    3C=2D

    D=5A/6

    D=(5 (4B/5))/6

    D=2/3B

    2D=4B/3

    3C=4B/3

    B=4B/9 + 25

    25=5B/9

    B=45 years

    C=45 – 25= 20 years

    5A/4=45

    A=36 years

    D=5*36/6=30 years

    A + B + C + D=36 + 30 + 45 + 20=131 years

     

  • Question 6/10
    1 / -0

    Directions For Questions

    Read the following information carefully and answer the given questions:

    There are three boxes A, B and C have the three different colors balls-red, yellow and blue. The total number of balls in all the boxes together is 80. The total number of red balls in all the boxes together is 30. The ratio of the red balls in box A to C is 2:3 and the number of yellow balls in box B is 10.The number of red balls in box C is sum of the yellow balls of box A and C. Total number of balls in box B is 27. The number of red balls in box B is 5 which is equal to the number of blue balls in box C. The number of blue balls in box B is 5 more than that of the number of yellow balls in box A.

    ...view full instructions

    What is the ratio of the number of yellow balls in box A to the number of Blue balls in box B?

    Solutions

    Total number of balls=80

    Total number of red balls=30

    Number of red balls in box B=5

    Number of red balls in box A=2/5 * 25=10

    Number of red balls in box C=3/5 * 25=15

    Number of Yellow balls in box B=10

    Number of blue balls in box B=27 – 10 – 5=12

    Number of Blue balls in box C=5

    Number of yellow balls in A=12 – 5 =7

    Number of Yellow balls in C=15 – 7 =8

    Total number of yellow balls=10 + 7 + 8=25

    Number of blue balls in box A=80 – 30 – 25 – 5 – 12=8

    Total number of blue balls=8 + 12 + 5=25

    Total number of balls in box A=10 + 7 + 8=25

    Total number of balls in box B=27

    Total number of balls in box C=15 + 5 + 8=28

     Required ratio=7:12

     

  • Question 7/10
    1 / -0

    Directions For Questions

    Read the following information carefully and answer the given questions:

    There are three boxes A, B and C have the three different colors balls-red, yellow and blue. The total number of balls in all the boxes together is 80. The total number of red balls in all the boxes together is 30. The ratio of the red balls in box A to C is 2:3 and the number of yellow balls in box B is 10.The number of red balls in box C is sum of the yellow balls of box A and C. Total number of balls in box B is 27. The number of red balls in box B is 5 which is equal to the number of blue balls in box C. The number of blue balls in box B is 5 more than that of the number of yellow balls in box A.

    ...view full instructions

    The number of blue balls in box A and C together is approximately what percent of the total number of red balls in all the boxes together?

    Solutions

    Total number of balls=80

    Total number of red balls=30

    Number of red balls in box B=5

    Number of red balls in box A=2/5 * 25=10

    Number of red balls in box C=3/5 * 25=15

    Number of Yellow balls in box B=10

    Number of blue balls in box B=27 – 10 – 5=12

    Number of Blue balls in box C=5

    Number of yellow balls in A=12 – 5 =7

    Number of Yellow balls in C=15 – 7 =8

    Total number of yellow balls=10 + 7 + 8=25

    Number of blue balls in box A=80 – 30 – 25 – 5 – 12=8

    Total number of blue balls=8 + 12 + 5=25

    Total number of balls in box A=10 + 7 + 8=25

    Total number of balls in box B=27

    Total number of balls in box C=15 + 5 + 8=28

    Required %=(8 + 5)/30 * 100=43%

     

  • Question 8/10
    1 / -0

    Directions For Questions

    Read the following information carefully and answer the given questions:

    There are three boxes A, B and C have the three different colors balls-red, yellow and blue. The total number of balls in all the boxes together is 80. The total number of red balls in all the boxes together is 30. The ratio of the red balls in box A to C is 2:3 and the number of yellow balls in box B is 10.The number of red balls in box C is sum of the yellow balls of box A and C. Total number of balls in box B is 27. The number of red balls in box B is 5 which is equal to the number of blue balls in box C. The number of blue balls in box B is 5 more than that of the number of yellow balls in box A.

    ...view full instructions

    What is the total number of Yellow balls in all the boxes together?

    Solutions

    Total number of balls=80

    Total number of red balls=30

    Number of red balls in box B=5

    Number of red balls in box A=2/5 * 25=10

    Number of red balls in box C=3/5 * 25=15

    Number of Yellow balls in box B=10

    Number of blue balls in box B=27 – 10 – 5=12

    Number of Blue balls in box C=5

    Number of yellow balls in A=12 – 5 =7

    Number of Yellow balls in C=15 – 7 =8

    Total number of yellow balls=10 + 7 + 8=25

    Number of blue balls in box A=80 – 30 – 25 – 5 – 12=8

    Total number of blue balls=8 + 12 + 5=25

    Total number of balls in box A=10 + 7 + 8=25

    Total number of balls in box B=27

    Total number of balls in box C=15 + 5 + 8=28

    Yellow balls=(7 + 10 + 8)=25

     

  • Question 9/10
    1 / -0

    Directions For Questions

    Read the following information carefully and answer the given questions:

    There are three boxes A, B and C have the three different colors balls-red, yellow and blue. The total number of balls in all the boxes together is 80. The total number of red balls in all the boxes together is 30. The ratio of the red balls in box A to C is 2:3 and the number of yellow balls in box B is 10.The number of red balls in box C is sum of the yellow balls of box A and C. Total number of balls in box B is 27. The number of red balls in box B is 5 which is equal to the number of blue balls in box C. The number of blue balls in box B is 5 more than that of the number of yellow balls in box A.

    ...view full instructions

     What is the difference between the total number of balls in box A and the total number of balls in box C?

    Solutions

    Total number of balls=80

    Total number of red balls=30

    Number of red balls in box B=5

    Number of red balls in box A=2/5 * 25=10

    Number of red balls in box C=3/5 * 25=15

    Number of Yellow balls in box B=10

    Number of blue balls in box B=27 – 10 – 5=12

    Number of Blue balls in box C=5

    Number of yellow balls in A=12 – 5 =7

    Number of Yellow balls in C=15 – 7 =8

    Total number of yellow balls=10 + 7 + 8=25

    Number of blue balls in box A=80 – 30 – 25 – 5 – 12=8

    Total number of blue balls=8 + 12 + 5=25

    Total number of balls in box A=10 + 7 + 8=25

    Total number of balls in box B=27

    Total number of balls in box C=15 + 5 + 8=28

    Difference=28 – 25=3

     

  • Question 10/10
    1 / -0

    Directions For Questions

    Read the following information carefully and answer the given questions:

    There are three boxes A, B and C have the three different colors balls-red, yellow and blue. The total number of balls in all the boxes together is 80. The total number of red balls in all the boxes together is 30. The ratio of the red balls in box A to C is 2:3 and the number of yellow balls in box B is 10.The number of red balls in box C is sum of the yellow balls of box A and C. Total number of balls in box B is 27. The number of red balls in box B is 5 which is equal to the number of blue balls in box C. The number of blue balls in box B is 5 more than that of the number of yellow balls in box A.

    ...view full instructions

    What is the ratio of the sum of the number of red balls in box C and the number of yellow balls in box B together to the total number of blue balls in all the boxes together?

    Solutions

    Total number of balls=80

    Total number of red balls=30

    Number of red balls in box B=5

    Number of red balls in box A=2/5 * 25=10

    Number of red balls in box C=3/5 * 25=15

    Number of Yellow balls in box B=10

    Number of blue balls in box B=27 – 10 – 5=12

    Number of Blue balls in box C=5

    Number of yellow balls in A=12 – 5 =7

    Number of Yellow balls in C=15 – 7 =8

    Total number of yellow balls=10 + 7 + 8=25

    Number of blue balls in box A=80 – 30 – 25 – 5 – 12=8

    Total number of blue balls=8 + 12 + 5=25

    Total number of balls in box A=10 + 7 + 8=25

    Total number of balls in box B=27

    Total number of balls in box C=15 + 5 + 8=28

    Required ratio=(15 + 10):(8 + 12 + 5)=25:25=1:1

     

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