# 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