Quant Test for SBI PO 2018 Prelim Exam Set – 64

Hello Aspirants

State Bank of India (SBI) is going to conduct examination for its recruitment for the post of Probationary Officers (SBI PO 2018) for a total of 2000 vacancies.

Click here to know the details of the Examination

The examination will be held in three phases i.e. Preliminary Examination, Main Examination and Group Exercise & Interview. The Preliminary Exam is scheduled on 1st, 7th & 8th of July 2018. Details of the exam are as under:

Practice the questions so as to familiarize yourself with the pattern of questions to be asked in the exam. 

Directions(1-5): In each of the following number series , a wrong number is given. Find out the wrong number.

1. 6,7,13,20,33,53,96
   6
   96
   20
   7
   13
   Option B
   6,7,13,20,33,53,96
   6+7=13
   7+13=20
   13+20=33
   20+33 = 53
   33+53=86

    

2. 24,12,12,18,27,90,270
   18
   12
   27
   24
   90
   Option C
   24,12,12,18,27,90,270
   24*0.5 = 12
   12*1=12
   12*1.5= 18
   18*2=36

    

3. -6,-5,3,28,94,219,435
   94
   -6
   219
   28
   -5
   Option D
   -6,-5,3,28,94,219,435
   -6 + 1^3 = -5
   -5 + 2^3 = 3
   3 + 3^3 = 30

    

4. -1,0,2,21,340,8510
   2
   0
   340
   21
   8510
   Option E
   -1,0,2,21,340,8510
   -1 *1^2 +1 = 0
   0 * 2^2 + 2 = 2
   2 * 3^2 + 3 = 21
   21 * 4^2 + 4 = 340
   340 * 5^2 + 5 = 8505

    

5. 144,72,48,36,28,24
   72
   144
   28
   24
   48
   Option C
   144,72,48,36,28,24
   144*(1/2) = 72
   72*(2/3) = 48
   48*(3/4) = 36
   36*(4/5) = 28.8

    

6. In two alloys A and B the ratio of zinc to copper is 4:5 and 2:7 respectively. 9 kg of alloy A and 45 kg of alloy B are mixed together to form a new alloy. What will be the ratio of zinc to copper in the new alloy.
   9:11
   7:15
   5:13
   7:20
   3:5
   Option D
   Total zinc = 9*(4/9) + 45*(2/9) = 14
   Total copper = 9*(5/9) + 45*(7/9) = 40
   Required ratio = 14/40 = 7:20

    

7. The speed of boat in still water is 24 km/hr. and the speed of the stream is 4 km/hr. The time taken by the boat to travel from A to B downstream is 36 minutes less than the time taken by the same boat to travel from B to C upstream. If the distance between A and B is 4 km more than the distance between B and C , what is the distance between A and B ?
   56 km
   62 km
   40 km
   36 km
   45 km
   Option A
   Let AB = x+4 km
   BC = x km
   (x+4)/(24+4) = x/(24-4) – 36/60
   => x/20 – (x+4)/28 = 3/5
   => x =52
   AB = 56 km

    

8. If there is a reduction in the number of workers in a factory in the ratio 15:11 and an increment in their wages in the rate 22:25, then the ratio by which the total wages of the workers should be decreased.
   1:5
   4:7
   2:3
   5:7
   6:5
   Option E
   Initial wages = 15*22
   Wages after reduction = 11*25
   Required ratio = 6:5

    

9. Out of Rs. 50,000 that a man lends Rs.8000 at 5(1/2)% per annum simple interest and Rs. 24,000 at 6% per annum simple interest. He lends the remaining money at a certain rate of interest so that he gets total annual interest of Rs. 3680 . Find the rate of interest per annum, at which the remaining money is lent.
   4%
   10%
   5%
   11%
   8%
   Option B
   Remaining amount = 50,000 – (8000 + 24000)
   = Rs. 18,000
   Let the rate of interest = r%
   Now, 8000/100*(11/2) *1 + 24000*6/100 + 18000*r/100
   = 3680
   => r = 10%

    

10. The rate of Simple Interest in PNB & UCO are in the ratio of 4:5. Krishnan wants to deposit his total savings in two banks in such a way that he receives equal half-yearly interest from both banks. Find the ratio, he should deposit in both banks PNB & UCO.
    5:4
    3:8
    2:3
    4:7
    1:7
    Option A
    R1 =4x
    R2=5x
    𝑇1 = 𝑇2 = 1/2 𝑦𝑟
    =>[𝑃1 × 4𝑥 × 1]/[ 100 × 2 ]= [𝑃2 × 5𝑥 × 1]/[ 100 × 2] => P1:P2 = 5:4