Quant Test for LIC AAO Prelims Exam Set – 14

  1. A and B started a business together with total initial investment of Rs.5600. After 4 months, C joined them with an amount of Rs.1600. Find the profit share of C, if after a year, they received a total profit of Rs.9000.
    Rs.1545
    Rs.1400
    Rs.1320
    Rs.1440
    Rs.1250
    Option D
    Ratio of investment of (A+B): C = 5600:1600
    = 7:2
    Ratio of profit share = (7*12): (2*8) = 21:4
    Profit share of C = 4/(21+4)*9000 = Rs.1440

     

  2. Using all the letters of the word “THURSDAY”, how many different words can be formed?
    7!
    4!
    6!
    8!
    5!
    Option D
    Total number of letters = 8
    The number of 8 letters words formed is ⁸P₈ = 8!.

     

  3. In an election between two candidates, one got 55% of the total valid votes, 20% of the votes were invalid. If the total number of votes was 7500, find the number of valid votes that the other candidate got.
    2800
    2500
    2700
    2300
    2000
    Option C
    Total number of votes = 7500
    Valid votes = 80%
    Total valid votes = 7500*(80/100)
    1st candidate got 55% of the total valid votes.
    Hence, the 2nd candidate should have got 45% of the total valid votes
    => Valid votes that 2nd candidate got = total valid votes * (45/100)
    7500*(80/100)*(45/100) = 2700

     

  4. The average age of P,Q and R is 33 years. If the ratio of age of P,Q and R is 4:3:2 resp. Find the age of R.
    10 years
    14 years
    18 years
    20 years
    22 years
    Option E
    Let the age of P,Q and R be 4x , 3x and 2x years
    resp.
    (4x+3x+2x)/3 = 33
    =>x = 11
    Age of R = 2*11 = 22 years

     

  5. The profit earned on selling an article for Rs.750 is equal to the loss incurred on selling the same article for Rs.450. At what price it should be sold to earn a profit of 24%?
    Rs.770
    Rs.744
    Rs.795
    Rs.818
    Rs.700
    Option B
    Let the CP be x. (750-x) = (x-450)
    =>x = 600
    Required SP =600*1.24 = Rs.744

     

  6. Directions(6-10): What approximate value will come in place of question mark ‘?’ in the following questions.

  7. ?^2 – (2500% of 24) = (35)^2 – (15)^2
    50
    80
    60
    70
    40
    Option E
    ?^2 – (2500% of 24) = (35)^2 – (15)^2
    =>?^2 – 600 = (35+15)(35-15 )
    =>?^2 = 1000 + 600
    =>? = 40

     

  8. 140% * 350 = ?^2 – (15)^3 / 25
    25
    15
    17
    19
    10
    Option A
    140% * 350 = ?^2 – (15)^3 / 25
    => 140/100*350 = ?^2 – 3375/25
    =>?^2 – 135 = 490
    =>? = 25

     

  9. ?^2 – (1764)^1/2 = (1728)^1/3 + 60% of 150
    8
    14
    12
    16
    20
    Option C
    ?^2 – (1764)^1/2 = (1728)^1/3 + 60% of 150
    =>?^2 – 42 = 12+90
    =>?^2 = 102 + 42
    =>?^2 = 144
    =>? = 12

     

  10. 990/18 * 55 – 45^2 = ?
    800
    1000
    700
    900
    700
    Option B
    990/18 * 55 – 45^2 = ?
    =>? = 55*25 – 2025
    =>? = 3025 – 2025
    =>? = 1000

     

  11. [(529)^1/2 + 6^3 / 18]% of 800 = ?% of 224
    120
    112
    118
    125
    114
    Option D
    [(529)^1/2 + 6^3 / 18]% of 800 = ?% of 224
    =>?% of 224 = (23 + 216 /18)% * 800
    =>?*224 = 35*800
    =>? = (35*800)/224
    =>? = 125

     


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