Quant Test for LIC AAO Prelims Exam Set – 22

Directions(1-5): What value will come in place of question mark ‘?’ in the following questions.

1. 45% 𝑜𝑓 600+?% 𝑜𝑓 480=390
   12
   20
   18
   25
   17
   Option D
   45% 𝑜𝑓 600+?% 𝑜𝑓 480=390
   =>45/100 𝑜𝑓 600+?/100 𝑜𝑓 480=390
   ⇒270+4.8×?=390
   => ? =(390−270)/4.8 = 25

    

2. 4(2/3)+7(1/6)−5(2/9)= ?
   3(8/13)
   2(9/11)
   6(11/18)
   4(13/15)
   3(10/17)
   Option C
   4(2/3)+7(1/6)−5(2/9)= ?
   =>? = 14/3+43/6−47/9
   = (84+129−94)/18
   = 119/18 = 6(11/18)

    

3. [30% 𝑜𝑓 {(80% 𝑜𝑓 850)÷34}]= ?
   6
   10
   8
   14
   12
   Option A
   [30% 𝑜𝑓 {(80% 𝑜𝑓 850)÷34}]= ?
   =>?=[30/100×{(80/100×850)÷34}]
   =[30/100×{680÷34}]
   =[30/100×20] = 6

    

4. ? % of 800 = 293 – 22% of 750
   14
   10
   18
   16
   12
   Option D
   ? % of 800 = 293 – 22% of 750
   =>(800×?)/100=293−(750×22)/100
   ⇒8× ?=293−165=128
   ⇒ ?=128/8 =16

    

5. 65% 𝑜𝑓 240+ ?% 𝑜𝑓 150=210
   40
   36
   30
   48
   29
   Option B
   65% 𝑜𝑓 240+ ?% 𝑜𝑓 150=210
   =>65/100 𝑜𝑓 240+?/100 𝑜𝑓 150=210
   ⇒156+1.5×?=210
   =>?=(210−156)/1.5 = 36

    

6. Present age of A is 3 years less than present age of B. Ratio of B’s age 5 year ago and A’s age 4 year hence is 3 : 4 then find present age (in years) of A.
   30
   40
   20
   10
   50
   Option C
   Let B’s age = 𝑥
   So, A’s age = 𝑥−3
   =>(𝑥−5)/(𝑥+1) = 3/4
   => 𝑥 = 23
   A’s age = 23−3 = 20 yrs.

    

7. The profit earned on selling an article for Rs.1000 is equal to the loss incurred on selling the same article for Rs.500. At what price should it be sold to earn a profit of 24%?
   Rs.820
   Rs.900
   Rs.740
   Rs.930
   Rs.880
   Option D
   Let the CP be Rs.x. (1000 – x) = (x – 500)
   =>x = 750
   Required SP = 750*1.24 = Rs.930

    

8. Tap A is 50% more efficient than Tap B. Both the taps together can fill the tank in (48/5) hours. Find the time taken by Tap C which is 60% more efficient than Tap B, to fill the tank alone.
   18 hours
   16 hours
   12 hours
   10 hours
   15 hours
   Option E
   Time taken by A and B to fill the tank be x/1.5 and x hours resp.
   Now, 1/x + 1.5/x = 5/48
   =>x = 24
   Time taken by C = 24/1.6 = 15 hours

    

9. Income of Anil is Rs.25000 per month. He spends 25% on food and 35% on rent. If 50% of the remaining amount is spent by him on entertainment and rest of the amount is saved by him. Find his monthly savings (in Rs.).
   Rs.5000
   Rs.7000
   Rs.6000
   Rs.8000
   Rs.4000
   Option A
   Expense on food and rent = 25% + 35% = 60%
   Expense on entertainment = 0.5*(100-60)% = 20%
   Savings = 100% – (60%+20%) = 20%
   Anil’s savings = 0.2*25000 = Rs.5000

    

10. A bag contains 6 Red, 5 Green and 4 Yellow coloured balls. 2 balls are drawn at random after one another without replacement then what is the probability that atleat one ball is Green.
    2/5
    7/9
    1/3
    4/5
    3/7
    Option E
    Probability that no ball is green = (10C1*9C1)/(15*14)
    = 3/7