Quant Test for SBI PO Prelims Exam set – 01

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

1. 15, 21, 33, 51, 75, ?
   74
   88
   95
   91
   105
   Option E
   15 + 6 × 1 = 21
   21 + 6 × 2 = 33
   33 + 6 × 3 = 51
   51 + 6 × 4 = 75
   75 + 6 × 5 = 105

    

2. 4, 11, 25, 53, 109, ?
   200
   252
   221
   233
   242
   Option C
   4 +1 × 7 = 11
   11 + 2 × 7 = 25
   25 + 4 × 7 = 53
   53 + 8 × 7 = 109
   109 + 16 × 7 = 109 + 112 = 221

    

3. 11, 15, 31, 67, 131, ?
   222
   240
   231
   267
   255
   Option C
   11 + 22 = 11 + 4 = 15
   15 + 4^2 = 15 + 16 = 31
   31 + 6^2 = 31 + 36 = 67
   67 + 8^2 = 67 + 64 = 131
   131 + 10^2 = 131 + 100 = 231

    

4. 5, 7, 13, 25, 45, ?
   60
   75
   62
   70
   81
   Option B
   5 + 1 × 2 = 7
   7 + 2 × 3 = 13
   13 + 3 × 4 = 25
   25 + 4 × 5 = 45
   45 + 5 × 6 = 75

    

5. 483, 471, 435, 375, 291, ?
   174
   159
   190
   183
   164
   Option D
   483 – 1 × 12 = 483 – 12 = 471
   471 – 3 × 12 = 471 – 36 = 435
   435 – 5 × 12 = 435 – 60 = 375
   375 – 7 × 12 = 375 – 84 = 291
   291 – 9 × 12 = 291 – 108 = 183

    

6. Tap A and B can fill a tank in (3x+3) hours and (4x+6) hours resp. Tap A is 50% more efficient than tap B. What is the value of x?
   6
   7
   5
   2
   3
   Option E
   (3x+3)*1.5 = 4x+6
   =>x = 3

    

7. A shopkeeper bought a table and a chair for Rs.1500. He sold table at a profit of 25% and chair at a loss of 25%. If in the whole transaction he made neither profit nor loss. Find the cost price of chair.
   Rs.750
   Rs.777
   Rs.744
   Rs.720
   Rs.765
   Option A
   Let the CP of table be x.
   And CP of chair be (1500 -x)
   Now, 1.25x+0.75(1500-x) = 1500
   =>x = 750
   CP of chair = Rs.750

    

8. Ram divided Rs.5700 among his three children P,Q and R such that P received 25% more than Q and R received 40% less than Q. What is the share of R?
   1200
   1238
   1440
   1522
   1671
   Option A
   Let the amount received by Q be Rs.x and by P be Rs.1.25x.
   x+1.25x +0.6x = 5700
   =>x = 2000
   Amount received by R = 0.6*2000 = 1200

    

9. The average marks obtained by X,Y and Z is 56. The marks obtained by X and Y is 52. The ratio of marks obtained by X and Z is 5:8 resp. Find the marks obtained by Y.
   50
   70
   64
   48
   68
   Option C
   Total marks = 56*3 = 168
   Total marks obtained by X and Y = 52*2 = 104
   Marks obtained by Z = 168-104 = 64
   By Y = 64/8*5 = 40
   By X = 104-40 = 64

    

10. Sashi spends 25% and 20% of her income on rent and food resp. She spends 40% of the remaining income on clothes and thereby saves Rs.3465. Find the income.
    Rs.1500
    Rs.14000
    Rs.13200
    Rs.10500
    Rs.11200
    Option D
    Let the income be Rs.100
    Amount spend on rent and food = (25+20)% of 100x = Rs.45x
    Amount spend on clothes = 0.4(100x – 45x) = Rs.22x
    Now, 33x = 3465
    =>x = 105
    Income = Rs.10500