Quant Test for NIACL 2018 Prelim Exam Set – 14

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

1. 39, 52, 78, 117, 169, ?
   200
   212
   285
   234
   295
   Option D
   39 + 1 × 13 = 52
   52 + 2 × 13 = 78
   78 + 3 × 13 = 117
   117 + 4 × 13 = 169
   169 + 5 × 13 = 234

    

2. 62, 87, 187, 412, 812,?
   1437
   1460
   1452
   1441
   1445
   Option A
   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

    

3. 7, 8, 24, 105, 361,?
   925
   1000
   999
   858
   986
   Option E
   7 + 1^2 = 8
   8 + 4^2 = 24
   24 + 9^2 = 105
   105 + 16^2 = 361
   361 + 25^2 = 986

    

4. 656, 432, 320, 264, 236,?
   222
   240
   252
   300
   280
   Option A
   656 – 224 = 432
   432 – 112 = 320
   320 – 56 = 264
   264 – 28 = 236
   236 – 14 = 222

    

5. 1548, 516, 129, 43, ?
   9.5
   10.75
   11.12
   7.77
   15.15
   Option B
   /3
   /4
   /3
   /4
   = 10.75

    

6. A man spends Rs 1,800 per month on an average for the first four mouths and Rs 2,000 per month for the nest 8 months and saves Rs 5,600 a year. What is his average monthly income ?
   Rs 2,400
   Rs 2,400
   Rs 2,400
   Rs 2,400
   Rs 2,400
   Option D
   Total expenditure during first four months
   = 1,800 x 4 = Rs 7,200
   Total expenditure during the next 8 months = 2,000 x 8 = Rs 16,000
   Saving = Rs 5,600 Total of expenditure and saving = 7,200+ 16,000 + 5,600 = Rs.28,800
   Average monthly income = 28,800 /12
   = Rs 2,400

    

7. Ashok lent Rs.7000 to Ram for 3 years and Rs.4000 to Harish for 2 years on simple interest and at same rate of interest. If Ashok received Rs.3000 as total interest from both, what is the rate of interest?
   10.34%
   11.11%
   12.07%
   15.15%
   8.12%
   Option A
   SI = PNR/100
   => (7000 ×R × 3)/ 100 + (4000 × R × 2)/100 = 3000
   => 210 R+80 R=3000
   => 290 R = 3000
   => R = 10.34%

    

8. A single reservoir supplies the petrol to the whole city, while the reservoir is fed by a single pipeline filling the reservoir with the stream of uniform volume. When the reservoir is full and if 40,000 liters of petrol is used daily, the suply fails in 90 days.If 32,000 liters of petrol is used daily, it fails in 60 days. How much petrol can be used daily without the supply ever failing?
   71000
   58000
   62000
   56000
   60000
   Option D
   Let x litre be the per day filling and v litr be the capacity of the reservoir
   90x + v = 40000 * 90 —–(1)
   60x + v= 32000 * 60 ——(2)
   solving eq.(1) and (2) , we get x = 56000

    

9. Two pipes A and B can separately fill a cistern in 60 min and 75 min respectively. There is a third pipe in the bottom of the cistern to empty it. If all the three pipes are simultaneously opened, then the cistern is full in 50 min. In how much time, the third pipe alone can empty the cistern ?
   120
   100
   80
   95
   115
   Option B
   Work done by the third pipe in 1 min
   = 1/50 – (1/60 + 1/75) = – 1/100. [-ve sign means emptying]

    

10. When six fair coins are tossed simultaneously, in how many of the outcomes will at most three of the coins turn up as heads?
    50
    44
    42
    40
    36
    Option C
    0 coins turn heads or 1 coin turns head or 2 coins turn heads or 3 coins turn heads.
    Number of outcomes in which 0 coins turn heads is 6C0 = 1 outcome
    Number of outcomes in which 1 coin turns head is 6C1 = 6 outcomes
    Number of outcomes in which 2 coins turn heads is 6C2 = 15 outcomes
    Number of outcomes in which 3 coins turn heads is 6C3 = 20outcomes
    Therefore, total number of outcomes = 1 + 6 + 15 + 20 = 42 outcomes