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

- 39, 52, 78, 117, 169, ?
200212285234295Option D

39 + 1 × 13 = 52

52 + 2 × 13 = 78

78 + 3 × 13 = 117

117 + 4 × 13 = 169

169 + 5 × 13 = 234 - 62, 87, 187, 412, 812,?
14371460145214411445Option 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 - 7, 8, 24, 105, 361,?
9251000999858986Option E

7 + 1^2 = 8

8 + 4^2 = 24

24 + 9^2 = 105

105 + 16^2 = 361

361 + 25^2 = 986 - 656, 432, 320, 264, 236,?
222240252300280Option A

656 – 224 = 432

432 – 112 = 320

320 – 56 = 264

264 – 28 = 236

236 – 14 = 222 - 1548, 516, 129, 43, ?
9.510.7511.127.7715.15Option B

/3

/4

/3

/4

= 10.75 - 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 2,400Rs 2,400Rs 2,400Rs 2,400Rs 2,400Option 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 - 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% - 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?
7100058000620005600060000Option 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 - 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 ?
1201008095115Option B

Work done by the third pipe in 1 min

= 1/50 – (1/60 + 1/75) = – 1/100. [-ve sign means emptying] - When six fair coins are tossed simultaneously, in how many of the outcomes will at most three of the coins turn up as heads?
5044424036Option 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