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LIC AAO & AE 2020 Aptitude Test - 11
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LIC AAO & AE 2020 Aptitude Test - 11
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  • Question 1/10
    1 / -0

    If 18 men and 24 women can complete the work in 2 days and the 8 men and 32 women can complete the work in3 days, in how many day 12 men and 48 women to complete the work?

    Solutions

    2 * (18m + 24w) = 3 * (8m + 32w)

    36m + 48w = 24m + 96w

    12m = 48w

    m=4w

    m/w=4/1

    (18 * 4 + 24 * 1) * 2 = (12 *4 + 48 *1) * ?

    ?= 2 days

     

  • Question 2/10
    1 / -0

    A shopkeeper sells two goods-Shirt and Watch. He sells shirt at 15% loss and watch at 19% profit while this transaction he loss Rs.100. If he sells both shirt and watch at same price, then find the cost price of watch?

    Solutions

    CP of shirt =x

    CP of watch=y

    SP are equal, 85x/100 = 119y/100

    5x=7y

    x=7y/5

    CP=x+y

    SP=(85x/100 + 119y/100)

    CP – SP=100

    (x + y) – (85x/100 + 119y/100) =100

    100x + 100y – 85x – 119y =10000

    15x – 19y=10000

    15(7y/5) – 19y=10000

    2y = 10000

    Y=5000

     

  • Question 3/10
    1 / -0

    A and B together can complete the work in 18 days. A started the work first after 2 days B Joins with A and after more 4 days A left the work. If B complete the remaining work in 20 days, then how many days A alone complete the work?

    Solutions

    A works only =2 + 4 = 6 days

    B works only=4 + 20= 24 days

    6/A + 24/B = 1

    6/A + 6/B + 18/B = 1

    6(1/A + 1/B) + 18/B = 1

    6/18 + 18/B = 1

    18/B = 1 – 1/3 = 2/3

    B complete 2/3 of work in 18 days

    B complete the whole work in =18 * 3/2 = 27 days

    A= 1/18 – 1/27

    A= 1/54

     

  • Question 4/10
    1 / -0

    The ratio of the ages of A and B is 5:7 and the ratio of the ages of B and C after 8 years is 4:3. If the product of the ages of A and B is 560, then what is the sum of the ages of A and C together?

    Solutions

    5x * 7x =560

    X=4

    A’s age=5 * 4=20

    B’s age =7 * 4 =28

    After 8 years B’s age=28 + 8 =36 years

    After 8 years C’s age=3/4 * 36 =27 years

    Present age of C=27 – 8=19

    Sum of A and C=19 + 20 =39 years

     

  • Question 5/10
    1 / -0

    Anthuvan invests 20% of his income in business and uses 1/60th of the income to education fee. If he is left with Rs. x which is invested in scheme A offer simple interest at 15% per annum for 5 years and after 5 years he received the interest is Rs.7050, then what is his income?

    Solutions

    7050 = x * 15 * 5/100

    x=Rs.9400

    Anthuvan income= y

    Y=y * 20/100 + y/60 + 9400

    Y * 47/60= 9400

    Y=Rs.12000

     

  • Question 6/10
    1 / -0

    A and B started the business with investment of Rs.3000 and Rs.4000 respectively. After 6 months A added Rs.x with his initial investment and B added Rs.2x for his initial investment. At the end of one year the total profit is Rs.6000 and the profit share of A is Rs.2400, find the value of 2x?

    Solutions

    Profit ratio=(3000 * 6 + (3000 + x) * 6): (4000 * 6 + (4000 + 2x) * 6)

    =(18000 + 18000 + 6x) : (24000 + 24000 +12x)

    =36000 + 6x : 48000 + 12x

    36000 + 6x/(18x + 84000)=2400/6000

    180000 + 30x=36x + 168000

    6x=12000

    X=2000

    Value of 2x=2 * 2000=4000

     

  • Question 7/10
    1 / -0

    Rahul deposits Rs.8500 to bank which is offer simple interest at x% per annum for 8 years and after 8 years interest received by Rahul is Rs.8160. Arul invests Rs. y to scheme A offer simple interest at x% per annum for 5 years. If Arul received interest amount after 5 years is Rs.4860, find the value of y?

    Solutions

    8160 = 8500 * 8 * x/100

    x=12%

    4860=y * 12 * 5/100

    Y=8100

     

  • Question 8/10
    1 / -0

    The area of the rectangle is 768 cm2and theperimeter of the rectangle is 112 cm. If the height of the cone is equal to the breadth of the rectangle and the volume of the cone is 1232 cm2, then what is the radius of the cone?

    Solutions

    lb =768

    2(l+b) = 112 =>l+b=56

    => l=56-b

    => (56-b)b = 768

    => 56b-b^2=768

    Solving eqn,

    b = 24, 32  and l = 32, 24

    In rectangle l > b so l=32, b =24

    Volume of cone is= (πr^2 h)/3

    h=24, V = 1232

    r^2 =(1232*7*3)/(22*24) =49

    r = 7

     

  • Question 9/10
    1 / -0

    In how many different ways can the letters of the word ‘FINISH’ be arranged?

    Solutions

    Required answer= 6!/2!

    =360

     

  • Question 10/10
    1 / -0

    Two trains 200 meter and 150 meter long running in opposite direction at 60kmph and 80 kmph respectively, they will completely pass each other in x seconds. Find the value of x?

    Solutions

    350=(60 + 80 ) * 5/18 * x

    X=9 seconds

     

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