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LIC AAO & AE 2020 Aptitude Test - 18
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LIC AAO & AE 2020 Aptitude Test - 18
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  • Question 1/10
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    If the speed of stream is 20% less than that of the speed of the boat in still water. The difference between distances covered by boat in 14 hours upstream and 2 hours downstream is 20 km. What is the speed of downstream?

    Solutions

    Speed of boat in still water=x

    Speed of stream=x * 80/100=4x/5

    Downstream speed=x + 4x/5=9x/5

    Upstream speed=x – 4x/5=x/5

    (9x/5 * 2 ) – (x/5 * 14) = 20

    4x/5=20

    X=25

    Speed of downstream=9 * 25/5=45 kmph

     

  • Question 2/10
    1 / -0

    An article is marked up 40% above the cost price while it is sold on 20% discount and the shopkeeper gets x% profit. If the cost price of the article is Rs.1200 and sold on (x +8)% profit, then what is the selling price of the article?

    Solutions

    CP=100

    MP=100 * 140/100=140

    SP=140 * 80/100= x

    X=12%

    X + 8=12 + 8=20%

    S.P=1200 * (100 +20)/100=Rs.1440

     

  • Question 3/10
    1 / -0

    Sunil spends 20% of his salary on education fee, the remaining he spent two-third on rent and one-fourth on shopping. If he left with Rs.3000, then what amount he spends to rent?

    Solutions

    Let the salary=x

    Education=20/100 * x=x/5

    Remaining=4x/5

    Rent=4x/5 * 2/3=8x/15

    Shopping=4x/5 * 1/4=x/5

    x/5 + 8x/15 + x/5 + 3000=x

    3x + 8x + 3x + 45000=15x

    X=45000

    Rent=8 * 45000/15=24000

     

  • Question 4/10
    1 / -0

    The average ages of A and B is 23 years and ratio of the ages of B to C is 3:5. After 6 years the ratio becomes B to C is 15:23, then what is A’s age after 8 years?

    Solutions

    (3x + 6) / (5x +6)= 15/23

    69x + 138 = 75x + 90

    6x= 48

    X=8

    B=3 * 8=24 years

    A + B=23 * 2=46 years

    A=46 – 24=22 years

    After 8 years A=22 + 8=30 years

     

  • Question 5/10
    1 / -0

    A and B started the business with investments of Rs.3000 and Rs.6000 respectively and after 6 months C joined with Rs.4000. At end of one year the total profit is Rs.22000, and then what is the profit share of B?

    Solutions

    Profit ratio=3000 * 12: 6000 * 12 : 4000 * 6

    =3:6:2

    Profit share of B=6/11 * 22000=12000

     

  • Question 6/10
    1 / -0

    Each question contains two quantities as Quantity I and Quantity II. Read the contents clearly and answer your questions accordingly.

    Quantity I: The shopkeeper sold two shirts for Rs.1500 each. On one he gains 20% while on the other losses 20%. What percentage he gets the profit or loss in the whole transaction?

    Quantity II: A dishonest dealer sells his goods at cost price but uses the weight of 960 grams for a kilogram weight. Find the profit percentage?

    Solutions

    From quantity I,

    CP of each shirt = 1500

    20% gain = 1500 * 20/100 = 300

    20% loss = 1500 * 20/100 =300

    So there is 0% of loss/gain.

    From quantity II,

    Profit %=40/960 * 100=4.1667%

     

  • Question 7/10
    1 / -0

    Each question contains two quantities as Quantity I and Quantity II. Read the contents clearly and answer your questions accordingly.

    Quantity I: 10 men complete one-sixth of the work in 40 days, then how many more men to finish rest of the work in 50 days?

    Quantity II: 20 men or 40 women can complete the work in 39 days. In how many days 24 men and 17 women do double of the work?

    Solutions

    From quantity I,

    Remaining work=5/6

     50 * ? / (5/6) =10 * 40/ (1/6)

    ?=40

    More men=40 – 10=30 men

    From quantity II,

    20 men=40 women

    One man=2 women

    24 men=48 women

    Total=48 + 17=65 women

    40 * 39 =65 * ?

    ?=24 days

    Double the work can be completed in 48 days.

     

  • Question 8/10
    1 / -0

    Each question contains two quantities as Quantity I and Quantity II. Read the contents clearly and answer your questions accordingly.

    Quantity I: If the surface area of the sphere is 616 cm2, then what is the volume of the sphere?

    Quantity II: If the length of diagonal of the cube is 12√3 cm, then what is the volume of the cube?

    Solutions

    From quantity I,

    4 * 22/7* r * r=616

    r=7 cm

    Volume of the sphere=4/3 * 22/7 * 7 * 7 *7=1437.333 cm3

    From quantity II,

    a√3=12√3

    a=12 cm

    Volume of the cube=12 * 12 * 12=1728 cm3

     

  • Question 9/10
    1 / -0

    Each question contains two quantities as Quantity I and Quantity II. Read the contents clearly and answer your questions accordingly.

    Quantity I: The ratio of the present ages of A and B is 3:7. After 10 years B’s age will be 31 years. What is A’s age 10 years after?

    Quantity II: The ratio of the present ages of A and B is 5:4 and after 6 years the ratio will be 8:7. What is the age of B in after 10 years?

    Solutions

    From quantity I,

    7x=31 -10=21

    X=3

    A’s present age=3 * 3=9 years

    After 10 years A’s age =9 + 10=19 years

    From quantity II,

    5x + 6/4x + 6=8/7

    35x + 42 = 32x + 48

    3x=6

    X=2

    B’s age=4 * 2= 8 years

    After 10 years B’s age=8 + 10=18 years

     

  • Question 10/10
    1 / -0

    Each question contains two quantities as Quantity I and Quantity II. Read the contents clearly and answer your questions accordingly.

    Quantity I: A and B together can complete the work in 12 days and A’s efficiency is twice as B. In how many days B alone complete the work?

    Quantity II: A and B can do the piece of work in 18 days and 24 days respectively. In how many days A and B together can complete the work?

    Solutions

    From quantity I,

    A + B=1/12

    1/x + 1/2x =1/12

    3/2x=1/12

    X=1/18

    B alone=18 * 2=36 days

    From quantity II,

    A + B=1/18 + 1/24=4 + 3/72=7/72

    A+ B=72/7 days

     

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