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

- 6, 91, 584, 2935, 11756, 35277
117565846293591Option B

6 × 7 + 7^2 = 42 + 49 = 91

91 × 6 + 6^2 = 546 + 36 = 582 (Wrong Term = 584)

582 × 5 + 5^2 = 2910 + 25 = 2935

2935 × 4 + 4^2 = 11740 + 16 = 11756

11756 × 3 + 3^2 = 35268 + 9 = 35277 - 8424, 4212, 2106, 1051, 526.5, 263.25
4212105121068424526Option B

8424/ 2 = 4212

4212 / 2 = 2106

2106/ 2 = 1053 (Wrong Term = 1051)

1053 / 2 = 526.5

526.5 / 2 = 263.25 - 9050, 5675, 3478, 2147, 1418, 1077
10772147905034781418Option A

9050 – 15^3 = 9050 – 3375 = 5675

5675- 13^3 = 5675 – 2197 = 3478

3478 – 11^3 = 3478 – 1331 = 2147

2147 – 9^3 = 2147 – 729 = 1418

1418 – 7^3 = 1418 – 343 = 1075 (Wrong Term = 1077) - 7, 12, 40, 222, 1742, 17390, 208608
173901744127208608Option B

7 × 2 – 2 = 12

12 × 4 – (2 + 6) = 48 – 8 = 40

40 × 6 – (8 + 10) = 240 – 18 = 222

222 × 8 – (18 + 14) = 1776 – 32 = 1744 (Wrong Term = 1742)

1744 × 10 – (32 + 18) = 17440 – 50 = 17390 - 1, 4, 25, 256, 3125, 46656
425466562563125Option B

1 = 1

2^2 = 4

3^3 = 27 (Wrong Term = 25)

4^4 = 256

5^5 = 3125

6^6 = 46656 - A merchant can buy goods at the rate of Rs. 20 per good. The particular good is part of an overall collection and the value is linked to the number of items that are already on the market. So, the merchant sells the first good for Rs. 2, second one for Rs. 4, third for Rs. 6…and so on. If he wants to make an overall profit of at least 40%, what is the minimum number of goods he should sell?
2032152718Option D

Let x good required to sell for making 40% profit.

Total CP = 20x

Total SP = 140/100*20x = 28x 28x = x/2[2*2 + (x-1)2] => 56 = 4 +2x – 2

=> 2x = 54

=> x = 27 - Two vessels contain a mixture of Spirit and water. In the first vessel the ratio of Spirt to water is 8 : 3 and in the second vessel the ratio is 5 : 1. A 35 litre cask is filled from these vessels so as to contain a mixture of Spirit and water in the ratio of 4 : 1. How many litres are taken from the first vessels ?
17 litres8 litres10 litres11 litres13 litresOption D

Spirit in Later mixer = 35*4/5 = 28

Water in Later mixer = 35*1/5 = 7

Now, 8x + 5y = 28 ——(1)

3x + y = 7 ——–(2)

On solving (1) and (2), we get

Required amount = 8x + 3x = 11 litres - A man buys a truck for Rs. 2,50,000. The annual repair cost comes to 2.0% of the price of purchase. Besides, he has to pay an annual tax of Rs. 2000. At what monthly rent must he rent out the truck to get a return of 15% on his net investment of the first year?
Rs.3618.8Rs.3010.3Rs.3212.5Rs.4202.5Rs.3300.4Option C

Total yearly expenditure for man

= 250,000 + 2000 + 2/100 ×250,000 = 257000

Total monthly expenditure for man = 257000/12

Required monthly rent = 15/100 × 257000/12

= Rs.3212.5 - Guru deposits Rs.8000 in a financial institute at 12% interest per annum for a period of one year and Rs.6500 in another financial institute at 9% per annum for a period of one year. The total interest amount obtained is what percentage of the whole sum?
10.65%8.65%9.23%12.12%11.55%Option A

Interest for the first sum

= (8000×12×1)/100 = 960

Interest for the second sum = (6500×9×1)/100 = 585

Total interest = 960 + 585 = 1545

Total sum = 8000 + 6500 = 14500

Required percentage= (1545×100)/ 14500 = 10.65% - The blood groups of 200 people is distributed as follows: 50 have type A blood, 65 have B blood type, 70 have O blood type and 15 have type AB blood. If a person from this group is selected at random, what is the probability that this person has O blood type?
0.330.420.770.520.35Option E

Group frequency A 50

B 65

O 70

AB 15

Required Probability = 70 / 200 = 0.35