Quant Test for IBPS PO 2018 Prelim Exam Set – 31

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

1. 38,42,50,66,98,?
   145
   112
   162
   130
   125
   Option C
   38,42,50,66,98,?
   +4
   +8
   +16
   +32
   +64
   ? = 162

    

2. 32,49,83,134,?,287
   189
   194
   156
   202
   180
   Option D
   32,49,83,134,?,287
   32+ 17*1 = 49
   49+17*2 = 83
   83+17*3 = 134
   134+17*4 = 202
   202+17*5 = 287

    

3. 120, 15, 105, 17.5, 87.5, ?
   21.875
   17.201
   23.152
   25.120
   11.521
   Option A
   120, 15, 105, 17.5, 87.5, ?
   120 / 8 = 7
   15 × 7 = 105
   105 / 6 = 17.5
   17.5 × 5 = 87.5
   87.5 / 4 = 21.875

    

4. 1, 16, 81, 256, 625, 1296, ?
   2050
   2401
   2200
   1855
   1404
   Option B
   1, 16, 81, 256, 625, 1296, ?
   1 = l^4 16 = 2^4
   81 = 3^4 256 = 4^4
   625 = 5^4 1296 = 6^4
   ? = 7^4 = 7 × 7 × 7 × 7 = 2401

    

5. 286, 142, ?, 34, 16, 7
   60
   55
   62
   70
   68
   Option D
   286, 142, ?, 34, 16, 7
   286/2 – 1 = 143 – 1 = 142
   142/2 – l = 71 – l = 70
   70/2 – 1 = 35 – 1 = 34
   34/2 – 1 = 17- 1 = 16
   16/2 – 1 = 7

    

6. An amount of Rs. 16600 is divided equally and each is invested at two different rates of interest. The difference between the interests got after 4 year is Rs. 700. What is the difference between the rates of interest?
   4.2%
   3.5%
   3.13%
   2.10%
   1.5%
   Option D
   Let the 2 different rates be x and y respectively. Difference between the interests is Rs 700.
   = [8300 × 𝑥 × 4]/100 – [8300 × 𝑦 × 4]/ 100 = 700
   = 33200x-33200y =700×100
   = 33200(x – y) = 70000
   x-y = 2.10%

    

7. Mrs. Mary decided to distribute pens among A,B,C and D in the ratio 3:4:6:5 resp. But mistakenly she distributed pens among them in the ratio of 5:8:4:7 resp., So, A and B got 3 and 8 pens more resp. The number of pens received by D is what % more than the number of pens she was expected to receive ?
   10%
   9%
   7%
   8%
   5%
   Option E
   Number of pens expected to receive by A,B,C and D = 3x,4x,6x and 5x.
   Number of pens received by A,B,C and D = 5x,8x,4x and 7x.
   ATQ, 8y – 4x = 8 And 5y – 3x = 3
   Solving both the equations,we get x = 4 and y = 3
   Number of pens expected to receive by D = 5*4 = 20
   Number of pens received by D = 7*3 = 21
   Required% = (21-20)/20*100% = 5%

    

8. In an examination, a student scores 4 marks for every correct answer and loses 1 mark for every wrong answer. If he attempts all 60 questions and secures 130 marks, find the no of questions he attempts correctly.
   25
   38
   45
   40
   30
   Option B
   Let the number of correct answers be X.
   Number of incorrect answers = (60 – X).
   4x – (60 – x) = 130
   => 5x = 190
   => x = 38

    

9. A train travelling at a speed of 75 mph enters a tunnel 3(1/2) miles long. The train is 1/4mile long. How long does it take for the train to pass through the tunnel from the moment the front enters to the moment the rear emerges?
   2 min.
   3 min.
   6 min.
   4min.
   5 min.
   Option B
   Total distance covered = (7/2 + 1/4) miles
   = 15/4 miles
   Time taken = (15/4*75)hrs. = 1/20 hrs.= (1/20*60)min. = 3 min.

    

10. In how many different ways can the letters of the word ‘OPTICAL’ be arranged so that the vowels always come together?
    500
    680
    610
    720
    700
    Option D
    We have to arrange the letters PTCL (OIA).
    Now, 5 letters can be arranged in 5! = 120 ways.
    The vowels (OIA) can be arranged among themselves in 3! = 6 ways.
    Required number of ways = (120 x 6) = 720