Quant Test for LIC AAO Prelims Exam Set – 20

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

1. 13, 16, 22, 33, 51, ?
   66
   78
   62
   47
   58
   Option B
   13 + 3 = 16
   16 + (3 + 3) = 22
   22 + (6 + 5) = 33
   33 + (11 + 7) = 51
   51 + (18 + 9) = 78

    

2. 39, 52, 78, 117, 169, ?
   210
   222
   234
   323
   256
   Option C
   39 + 1 × 13 = 52
   52 + 2 × 13 = 78
   78 + 3 × 13 = 117
   117 + 4 × 13 = 169
   169 + 5 × 13 = 234

    

3. 62, 87, 187, 412, 812, ?
   1225
   1124
   1343
   1556
   1437
   Option E
   62 + 5^2 = 62 + 25 = 87
   87 + 10^2 = 87 + 100 = 187
   187 + 15^2 = 187 + 225 = 412
   412 + 20^2 = 412 + 400 = 812
   812 + (25)^2 = 812 + 625 = 1437

    

4. 7, 8, 24, 105, 361, ?
   778
   986
   912
   850
   777
   Option B
   7 + l^2 = 8 8 + 4^2 = 24
   24 + 9^2 = 105
   105 + 16^2 = 361
   361 + 25^2 = 986

    

5. 656, 432, 320, 264,236, ?
   200
   210
   205
   222
   232
   Option D
   656 – 224 = 432
   432 – 112 = 320
   320 – 56 = 264
   264 – 28 = 236
   236 – 14 = 222

    

Directions(6-10): Answer the questions based on the following information.
The graph shows the number of pair of shoes (formal and sports) sold by four different companies (P,Q,R and S) in May month.


6. If the number of sports shoes sold by S in April and June is 20% and 30%, resp. more than that in May, find the total number of sports shoes sold by S in April and June together.
   112
   130
   125
   142
   150
   Option C
   Total number of sports shoes sold by S on April and June together = 1.2*50 + 50*1.3 = 125

    

7. If the number of formal shoes sold by company R and P is 80% and 40% resp. of the number of formal shoes manufactured by the respective companies, find the total number of formal shoes manufactured by company R and P together in May.
   490
   452
   488
   500
   550
   Option E
   Number of formal shoes manufactured by R and P resp. = 120/0.8 = 150 and 160/0.4 = 400
   Total number = 550

    

8. The number of shoes sold by company S is approximately what percentage of the number of shoes sold by company P and Q together?
   20%
   28%
   25%
   30%
   32%
   Option E
   Required% = 250/(420+360)*100 = 32%

    

9. If 8% of the total shoes sold by Q and R together were defective. Find the number of defective shoes sold by them.
   20
   28
   44
   46
   32
   Option E
   Total number of defective sports shoes sold = 8% of (220+180) = 32

    

10. If the average selling price of each formal shoes and sports shoes sold by all the given companies together is Rs.50 and Rs.45 resp. Find the difference between the revenue generated by selling all the formal shoes and of all the sports shoes by all the given companies.
    Rs.770
    Rs.784
    Rs.850
    Rs.755
    Rs.950
    Option E
    Required Difference = 710*45 – 620*50 = Rs.950