Quant Test for IBPS PO 2018 Prelim Exam Set – 1

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

1. 6, 91, 584, 2935, 11756, 35277
   11756
   584
   6
   2935
   91
   Option 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

    

2. 8424, 4212, 2106, 1051, 526.5, 263.25
   4212
   1051
   2106
   8424
   526
   Option B
   8424/ 2 = 4212
   4212 / 2 = 2106
   2106/ 2 = 1053 (Wrong Term = 1051)
   1053 / 2 = 526.5
   526.5 / 2 = 263.25

    

3. 9050, 5675, 3478, 2147, 1418, 1077
   1077
   2147
   9050
   3478
   1418
   Option 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)

    

4. 7, 12, 40, 222, 1742, 17390, 208608
   17390
   1744
   12
   7
   208608
   Option 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

    

5. 1, 4, 25, 256, 3125, 46656
   4
   25
   46656
   256
   3125
   Option B
   1 = 1
   2^2 = 4
   3^3 = 27 (Wrong Term = 25)
   4^4 = 256
   5^5 = 3125
   6^6 = 46656

    

6. 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?
   20
   32
   15
   27
   18
   Option 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

    

7. 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 litres
   8 litres
   10 litres
   11 litres
   13 litres
   Option 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

    

8. 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.3618.8
   Rs.3010.3
   Rs.3212.5
   Rs.4202.5
   Rs.3300.4
   Option 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

    

9. 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%

    

10. 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?
    0.33
    0.42
    0.77
    0.52
    0.35
    Option E
    Group frequency A 50
    B 65
    O 70
    AB 15
    Required Probability = 70 / 200 = 0.35