Quant Test for SBI PO 2018 Prelim Exam Set – 34

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): What will come in place of question mark (?) in the following question?

1. 75% of 1240 = 35% of 1560 + ?
   202
   285
   300
   384
   400
   Option D
   75% of 1240 = 35% of 1560 + ?
   => 930 = 546 + ?
   => ? = 384

    

2. (15% of 2200)% of 240 = (? × 4 ) + (25% of 2450)
   66.231
   44.875
   52.311
   40.125
   33.231
   Option B
   (15% of 2200)% of 240 = (? × 4 ) + (25% of 2450)
   => 330% of 240 = 4 × ? + 612.5
   => 792 – 612.5 = 4 × ?
   => ? = 179.5/4
   => ? = 44.875

    

3. 15% of 2520 + 42% of 2500 – ? = (42 × 22 ) ÷ 3.5 + 40% of 3420
   – 204
   – 85
   – 100
   – 75
   – 66
   Option A
   15% of 2520 + 42% of 2500 – ? = (42 × 22 ) ÷ 3.5 + 40% of 3420
   => 378 + 1050 – ? = 924/3.5 + 1368
   =>1428 – ? = 264 + 1368
   => 1428 – 1632 = ?
   => ? = – 204

    

4. (61)^2 + (51)^2 – 60% of 2/3 of 40% of 13200 = ?
   4210
   3010
   4450
   3500
   2588
   Option A
   (61)^2 + (51)^2 – 60% of 2/3 of 40% of 13200 = ?
   => 3721 + 2601 – 2112 = ?
   => ? = 4210

    

5. 42% of 3000 + (? × 14 ) – (21 ÷ 3.5 ) = (13)^2 + (21 × 2.5)
   – 60.06
   – 65.65
   – 33.12
   – 52.02
   -73.75
   Option E
   42% of 3000 + (? × 14 ) – (21 ÷ 3.5 ) = (13)^2 + (21 × 2.5)
   => 1260 + (14 × ? ) – 6 = 169 + 52.5
   => 14 × ? = 221.5 + 6 – 1260
   => ? = – 1032.5/14
   => ? = – 73.75

    

6. The amount of interest for a certain sum at 5•5% annual rate of interest for one year is Rs. 676•5. How much the interest will be less on the same sum at 5% annual rate of interest for one year ?
   Rs.48.5
   Rs.68.2
   Rs.55.5
   Rs.61.5
   Rs.35.3
   Option D
   Let the certain sum be Rs. P
   => 676•5 = P *5•5*1/100
   and second interest = (P *5 *1)/100 
   Required sum = 676•5 – Second interest
   = (P *5•5*1)/100 – (P*5*1)/100
   = P (5•5 – 5)/100 = P*0•5/100
   = (676•5 *100 *0•5)/(5•5*1*100)
   = 61•5
   Hence, Required sum = Rs. 61•5

    

7. Village A has a population of 6800, which is decreasing at the rate of 120 per year. Village B has a population of 4200, which is increasing at the rate of 80 per year. In how many years will the population of the two villages be equal ?
   11 yr.
   10 yr.
   12 yr.
   13 yr.
   15 yr.
   Option D
   After 13 yr population of village A
   = 6800 – 120 × 13
   = 5240
   After 13 yr population of village B
   = 4200 + 80 × 13
   = 5240

    

8. Taps A, B and C are connected to a water tank and the rate of flow of water is 42 litres/hr., 56 litres/ hr. and 48 litres/hr. respectively. Taps A and B fill the tank while tap C empties the tank. If all the three taps are opened simultaneously, the tank gets completely filled up in 16 hours. What is the capacity of the tank ?
   500 l
   800 l
   600 l
   900 l
   700 l
   Option B
   Net amount of water filled in the tank in 1 hour
   when all three taps are opened simultaneously = 42 + 56 – 48 litres = 50 litres.
   The tank gets completely filled in 16 hours. Capacity of the tank = 16 × 50 = 800 litres.

    

9. Anu owes Biresh Rs 1120 payable 2 year hence, Biresh owes Anu Rs 1081.50 payable 6 months. If they decide to settle their accounts forthwith by payment of ready money and the rate of interest be 6% per annum, they who should pay and how much ?
   Rs. 20, Anu
   Rs. 80 Anu
   Rs.50 , Brijesh
   Rs. 60 , Brijesh
   Rs. 40 Brijesh
   Option C
   1120 – P = (P*6*2)/100
   =>P = Rs. 1000
   Present worth of money for Biresh 1081.50 – P
   = P*6*1/2*100
   => 108150 – 100 P = 3P
   P = Rs 1050
   Biresh should pay Rs 50

    

10. A bag contains 2 white balls, 3 black balls and 4 red balls. In how many ways can 3 balls be drawn from the bag, if at least one black ball is to be included in the draw?
    48
    55
    50
    64
    43
    Option D
    Number of ways to select 3 black balls = 3C3
    Number of ways to select 2 black balls and 1 non-black ball = 3C2 × 6C1
    Number of ways to select 1 black ball and 2 non-black balls = 3C1 × 6C2
    Total number of ways = 3C3 + 3C2 × 6C1 + 3C1 × 6C2 = 3C3 + 3C1 × 6C1 + 3C1 × 6C2
    =1+3×6+3×6×52×1
    =1+18+45
    =64