Quant Test for LIC AAO Prelims Exam Set – 7

Directions(1-5): Find the missing term ‘?’ of the following series.

1. 17, 52, 158, 477, ?, 4310
   1330
   1200
   1435
   1545
   1660
   Option C
   17 × 3 + 1 = 51 + 1 = 52
   52 × 3 + 2 = 156 + 2 = 158
   158 × 3 + 3 = 474 + 3 = 477
   477 × 3 + 4 = 1431 + 4 = 1435

    

2. 3, 22, ?, 673, 2696, 8093
   110
   134
   122
   150
   142
   Option B
   3 × 7 + 1 = 21 + 1= 22
   22 × 6 + 2 = 132 + 2 = 134
   134 × 5 + 3 = 670 + 3 = 673
   673 × 4 + 4 = 2692 + 4 = 2696

    

3. 6, 13, 38, ?, 532, 2675
   124
   144
   111
   132
   129
   Option E
   6 × 1 + 1 × 7 = 6 + 7 = 13
   13 × 2 + 2 × 6 = 26 + 12 = 38
   38 × 3 + 3 × 5 = 114 + 15 = 129
   129 × 4 + 4 × 4 = 516 + 16 = 532

    

4. 286, 142, ?, 34, 16, 7
   74
   85
   70
   54
   66
   Option C
   286/2 – 1 = 143 – 1 = 142
   142/2 – l = 71 – l = 70
   70/2 – 1 = 35 – 1 = 34
   34/2 – 1 = 17- 1 = 16

    

5. 17, 9, ? ,16.5, 35, 90
   8
   10
   6
   12
   14
   Option B
   17 × 0.5 + 0.5 = 9
   9 × 1 + 1 = 10
   10 × 1.5 + 1.5 = 16.5
   16.5 × 2 + 2 = 35

    

6. The average age of mother,father and son was 42 years at the time of the marriage of son. After one year, an infant was born in the family and after 6 years of the marriage of son, the average age of the family is 36 years. What was the age of the bride at the time of marriage?
   18 years
   25 years
   14 years
   33 years
   21 years
   Option B
   Sum of the present age of Mother, Father and Son = 42*3+6*3 = 144 years
   Sum of present age of the family = 36*5 = 180
   Present age of the bride = 180 – 144 – 5 = 31 years
   Age of the bride at the time of marriage = 31 – 6 = 25 years

    

7. The total number of men, women and children working in a factory is 18. They earn Rs.4000 in a day. If the sum of the wages of all men, all women and all children is in the ratio of 18:10:12 and if the wages of an individual man , woman and child is in the ratio 6:5:3. How much a women earn in a day?
   Rs.174
   Rs.155
   Rs.250
   Rs.189
   Rs.200
   Option C
   Ratio of number of men, women and children
   = 18/6:10/5:2/3 = 3x:2x:4x
   Now, 3x+2x+4x = 18
   =>x = 2
   Number of women = 4
   Share of all women = 10/40*4000 = Rs.1000
   Share of each women = 1000/4 = Rs.250

    

8. The interest earned on Rs.4800 at rate of R% compounded annually is Rs.1008 after 2 years. What would be the simple interest earned on the same amount at the rate of (R+5)% per annum after 3 years?
   Rs.1995
   Rs.1774
   Rs.1845
   Rs.2160
   Rs.2000
   Option D
   Equivalent interest rate for 2 years = (1008/4800)*100
   = 21%
   R% + R% + (R^2/100)% = 21%
   =>R = 10
   Required interest = 4800*(10+5)% *3 = Rs.2160

    

9. Mahi bought a second-hand scanner and sold it to Kavi for Rs.2160 thereby making a profit of 20%. At what price Mahi must sell the printer to earn a profit of 40%?
   Rs.2520
   Rs.2386
   Rs.2445
   Rs.2120
   Rs.2200
   Option A
   CP of the scanner be x. x*1.2 = 2160
   =>x = 1800
   CP = Rs.1800
   Required amount = 1800*1.4 = Rs.2520

    

10. Tap A is 50% more efficient than Tap B. Both tap together can fill the tank in (96/5) hours. Find the time taken by tap A to fill the tank alone.
    27 hours
    32 hours
    20 hours
    25 hours
    36 hours
    Option B
    Let the time taken by tap B to fill the tank be
    x hours.
    Time taken by tap A to fill the tank = x/1.5 hours
    Now, 1/x+1/(x/1.5) = 1/(96/5)
    => 1+1.5 = 5x/96
    =>x = 48
    Time taken by tap A to fill the tank = 48/1.5 = 32 hours