Quant Test for SBI PO 2018 Prelim Exam Set – 18

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 missing term of the series.

1. 19, 26, 40, 68, 124, ?
   236
   199
   210
   148
   221
   Option A
   19, 26, 40, 68, 124, ?
   19 + 1 × 7 = 19 + 7 = 26
   26 + 2 × 7 = 26 + 14 = 40
   40 + 4 × 7 = 40 + 28 = 68
   68 + 8 × 7 = 68 + 56 = 124
   124 + 16 × 7 = 124 + 112 = 236

    

2. 0, 6, 24, 60, 120, 210, ?
   250
   320
   333
   336
   315
   Option D
   0, 6, 24, 60, 120, 210, ?
   0 + 1 × 6 = 6
   6 + 2 × 9 = 24
   24 + 3 × 12 = 60
   60 + 4 × 15 = 120
   120 + 5 × 18 = 210
   210 + 6 × 21 = 210 + 126 = 336

    

3. 12, ?, 168, 504, 1260, 2520
   40
   30
   48
   62
   55
   Option C
   12, ?, 168, 504, 1260, 2520
   12 × 4 = 48
   48 × 3.5 = 168
   168 × 3 = 504
   504 × 2.5 = 1260
   1260 × 2 = 2520

    

4. 5, 6, 16, 57, ?, 1245
   152
   180
   212
   115
   244
   Option E
   5, 6, 16, 57, ?, 1245
   5 × 1 + l² = 5 + 1 = 6
   6 × 2 + 2² = 12 + 4 = 16
   16 × 3 + 3² = 48 + 9 = 57
   57 × 4 + 4² = 228 + 16 = 244

    

5. 123, 277, 459, 669, 907, ?
   1100
   1173
   1005
   1250
   1332
   Option B
   123, 277, 459, 669, 907, ?
   123 + 11 × 14 = 123 + 154 = 277
   277 + 13 × 14 = 277 + 182 = 459
   459 + 15 × 14 = 459 + 210 = 669
   669+ 17 × 14 = 669 + 238 = 907
   907 + 19 × 14 = 907 + 266 = 1173

    

6. There are five boxes in a cargo hold. The weight of the first box is 200 kg and the weight of the second box is 20% higher than the weight of the third box, whose weight is 25% higher than the first box. The fourth box is of 350 kg and the fifth box is of 500kg. Find the difference in average weight of the four heaviest boxes and the four lightest boxes .
   41.5 kg
   33.3 kg
   52.2 kg
   37.5 kg
   25.2 kg
   Option D
   Weight of the 1st box = 200 kg
   Weight of the 3rd box = 250 kg
   Weight of 2nd box = 300 kg
   Weight of 4th box = 350 kg
   Weight of 5th box = 500 kg
   Average weight of four heaviest boxes = 1400/4 = 350 kg
   and average weight of four lightest boxes = 1100/4 = 275 kg
   Difference = (350 – 275)/2 = 37.5 kg

    

7. A small aeroplane can travel at 320 km/h in still air. The wind is blowing at a constant speed of 40 km/h. The total time for a journey against the wind is 135 min. What will be the time in minutes for the return journey with the wind?
   85 min
   105 min.
   115 min
   90 min
   100 min
   Option B
   Speed of aeroplane against the wind = (320 – 40) = 280 km/h.
   Let the distance be x km.
   Then, 135/60 = x/280
   => x = 630 km
   Speed of Aeroplane with the wind = (320 + 40) = 360 km/h
   Time taken by aeroplane with the wind
   =630/360 × 60 min = 105 min.

    

8. My friend collects antique stamps. She purchased two, but found that she needed to raise money urgently So, she sold them for Rs 8000 each. On one she made 20% profit and on the others she lost 20%. How much did she gain or loss in the entire transaction ?
   Rs 514.13
   Rs 452.42
   Rs 540.36
   Rs 600.15
   Rs 666.66
   Option E
   
   CP of stamp sold at a profit of 20% = 80000/12
   = 6666.66
   CP of stamp sold at a loss cf 20% = 8000/0.8
   = 10000
   Total SP = 6666.66 + 10000 = 16666.66
   Total SP = 2 × 8000 = Rs. 16000
   Loss = 16666.66 – 1600 = Rs 666.66

    

9. Two equal sums of money were invested, one at 4% and the other at 4(1/2)%. At the end of 7 yr, the simple interest received from the latter exceeded that received from the former by Rs 31.50. Find each sum .
   Rs.600
   Rs.700
   Rs.400
   Rs.900
   Rs.200
   Option D
   Let each sum be Rs x,
   then, (x* 9/2 *7)/100 – (x*4*7)/100 = 31.5
   => x = Rs 900

    

10. A manufacturer of a certain item can sell all he can produce at the selling price of Rs 60 each. If costs him Rs 40 in materials and labour to produce each item and he has overhead expenses of Rs 3000 per week in order to operate that plant. What is the number of items he should produce and sell in order to make a profit of at least 1000 per week.
    200
    212
    352
    410
    255
    Option A
    Required number of items
    = (3000 + 1000)/ (60 – 40)
    = 4000/20 = 200