Quant Test for SBI PO 2018 Prelim Exam Set – 21

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): Find the wrong term of the series.

1. 14, 13, 22, 55, 212, 1035
   1035
   212
   22
   55
   14
   Option D
   14, 13, 22, 55, 212, 1035
   14 × 1 – 1 = 13
   13 × 2 – 4 = 22
   22 × 3 – 9 = 57
   57 × 4 – 16 = 212
   212 × 5 – 25 = 1035
   Hence, the wrong number is 55.

    

2. 217, 224, 213, 226, 210, 228
   210
   228
   224
   226
   213
   Option A
   217, 224, 213, 226, 210, 228
   217 + 7 = 224
   224 – 11 = 213
   213 + 13 = 226
   226 – 17 = 209
   209 + 19 = 228
   Hence, the wrong number is 210.

    

3. 153, 495, 712, 837, 901, 928
   712
   153
   901
   495
   928
   Option D
   153, 495, 712, 837, 901, 928
   153 + 7^3 = 496
   496 + 6^3 = 712
   712 + 5^3 = 837
   837 + 4^3 = 901
   901 + 3^3 = 928
   Hence, the wrong number is 495.

    

4. 11, 42, 214, 1045, 4148, 12417
   11
   12417
   214
   4148
   42
   Option C
   11, 42, 214, 1045, 4148, 12417
   11 × 7 – 7 × 5 = 42
   42 × 6 – 6 × 6 = 216
   216 × 5 – 5 × 7 = 1045
   1045 × 4 – 4 × 8 = 4148
   4148 × 3 – 3 × 9 = 12417
   Hence, the wrong number is 214.

    

5. 488, 245, 124, 64, 35, 20.25
   64
   245
   124
   488
   35
   Option E
   488, 245, 124, 64, 35, 20.25
   488 ÷ 2 + 1.0 = 245
   245 ÷ 2 + 1.5 = 124
   124 ÷ 2 + 2.0 = 64
   64 ÷ 2 + 2.5 = 34.5
   34.5 ÷ 2 + 3.0 = 20.25
   Hence, the wrong number is 35.

    

6. A horse and a carriage together cost Rs 8000. If by selling the horse at a profit of 10% and the carriage at a loss of 10% a total profit of 2.5% is made, then what is the cost price of the horse ?
   Rs. 4000
   Rs. 9000
   Rs. 7000
   Rs. 5000
   Rs. 6000
   Option D
   Let the CP of horse be Rs x.
   then CP of carriage would be Rs (8000 -x)
   SP of horse = 1.1x SP of carriage = 0.9 (8000 – x)
   =>1.1x × 0.9 (8000 – x)= 8000 × 1.025
   =>1.1x + 7200 – 0.9x = 8200
   => 0.2x = 1000
   => x = Rs. 5000

    

7. A well with 14 m inside diameter is dug 10 m deep. Earth taken out of it has been evenly spread all around it to a width of 21 m to form an embankment. Find the height (in metres) of the embankment.
   1/2 m
   5/7 m
   2/3 m
   6/7 m
   3/5 m
   Option C
   Volume of earth dug out = (22/7 * 7 * 7 * 10)
   = 1540 m^3
   Area of embankment = 22/7 [(28)^2 – (7)^2] = 2310 m^2
   Height of embankment = Volume/Area
   = 1540/2310 m
   = 2/3 m

    

8. A train can travel 20% faster than a car. Both start from the point A at the same time and reach point B, 75 km away from A at the same time. On the way however the train lost about 12.5 min while stopping at the stations. Find the speed of the car.
   60 km/h
   20 km/h
   30 km/h
   40 km/h
   50 km/h
   Option A
   Let the speed of the car be x km/h.
   Speed of train = x × 1.2
   = 6x/5 km/h
   Now, (5/6x) * 75 + 25/ (2*60) = 75/x
   = 60 km/h

    

9. 9 children can complete a piece of work in 360 days. 18 men can complete the same piece of work in 72 days and 12 women can complete the piece of work in 162 days. In how many days can 4 men, 12 women and 10 children together complete the piece of work ?
   63 days
   77 days
   62 days
   50 days
   81 days
   Option E
   9 × 360 children = 18 × 72 men = 12 × 162 women 45 children =18 men = 27 women
   5 children = 2 men = 3 women
   Now, 4 men +12 women +10 children
   = 4 men + 8 men + 4 men
   = 16 men 18 men can complete the work in 72 days.
   16 men can complete the work in = (18 * 72)/16
   = 81 days

    

10. A video magazine distributor made 3500 copies of the March issue of the magazine at a cost of Rs 350000. He gave 500 cassettes free to some key video libraries. He also allowed a 25% discount on the market price of the cassette and gave one extra cassette free with every 29 cassettes bought at a time. In this manner, he was able to sell all the 3500 cassettes that were produced. If the market price of a cassette was Rs.150, then what is his gain or loss per cent for the March issue of video magazine ?
    8.18%
    6.78%
    4.15%
    5.42%
    7.25%
    Option B
    CP of 3500 cassettes = Rs 350000
    The SP of one cassette after discount is Rs =112.50
    SP of each set of 30 cassettes = (29 +1) = Rs 29 × 112.50
    = Rs 3262.50
    SP of 3500 cassettes including 500 free cassettes = Rs 326250
    Overall loss on Rs 350000 is Rs 23750
    Loss percent = (23750/350000) × 100
    = 6.78%