Quant Test for IBPS PO Prelims Exam set – 1

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

1. 19,32,49,68,?,120
   88
   70
   85
   91
   79
   Option D
   +13,+17,+19,+23,+29
   ? = 91
   

    

2. 224,221,?,231,270,359
   212
   177
   220
   180
   200
   Option C
   +1^3-2^2
   +2^3-3^2
   +3^3-4^2
   +4^3-5^2
   +5^3-6^2
   ? = 220
   

    

3. 621,540,491,466,457,?
   420
   400
   384
   456
   390
   Option D
   -9^2,-7^2,-5^2,-3^2,-1^2
   ? = 456
   

    

4. 14,15,25,?,1125,11125
   125
   110
   150
   120
   133
   Option A
   +10^0, +10^1, +10^2, +10^3, +10^4
   ? =125
   

    

5. 18,24,36,56,?,128
   80
   86
   72
   78
   91
   Option B
   +3^2 -3
   +4^2 -4
   +5^2 -5
   +6^2 -6
   +7^2 -7
   ? = 86
   

    

6. Present age of A is 40% less than the present age of B. Age of A four years ago was half the present age of B. Find the present age of A and B.
   39
   40
   32
   47
   28
   Option C
   Let the present age of B be x.
   Present age of A = 0.6x
   Now,
   0.6x – 4 = x/2
   =>x = 40
   Present average age = (40+24)/2 = 32 years
   

    

7. Raj spent ¼ and 1/5 of his monthly salary on entertainment and transport resp. Out of the remaining amount, he spent 40% on food and rent together. He invests the remaining amount in a XYZ for one year and earned a profit of 20%. Find his monthly income if he received Rs.9504 from XYZ after one year.
   14000
   18000
   24000
   21000
   20000
   Option C
   Let the monthly salary of Raj be Rs.x.
   Amount invested in XYZ = x – 0.25x – 0.20x -0.22x = 9504/1.2
   => x= 24000

    

8. A circular well is dug in the ground up to 15 m depth. The soil which is taken out of the well is spread uniformly on a square floor having perimeter 48 m. Find the height up to which the soil is spread over the square floor if the diameter of the well is 16 m.
   24 m
   32 m
   20 m
   18 m
   27m
   Option C
   Volume of the soil taken out = 3*8*8*15 = 2880 m^3
   Side of the square floor = 48/4 = 12 m
   Desired height =2880/(12*12) = 20 m
   

    

9. Ram bought a car for Rs.6x. He spent Rs.(x+500) for its repair and sold it to Shyam for Rs.(10x -252). Find the value of x, if in this transaction Ram had profit of 32%.
   1000
   1200
   1800
   1600
   1300
   Option B
   CP of car for Ram = (7x +500)
   SP of car =1.32*(7x+500) = 10x – 252
   9.24x + 660 = 10x – 252
   =>x = 1200
   

    

10. There are 10 red , 5 white and 5 black balls in an urn. Three balls are drawn at random from the urn. What is the probability that all three balls are white?
    1/113
    1/114
    5/111
    3/114
    1/110
    Option B
    Required Probability = 5C3/20C3 = 10/1140 = 1/114