Quant Test for IBPS PO Prelims Exam set – 32

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

1. 4, 6, 12, 30, 60, 315, 1260
   12
   60
   6
   4
   315
   Option B
   *1.5
   *2
   *2.5
   *3
   *3.5
   *4
   60 == 90
   

    

2. 200, 196, 192, 180, 160, 130, 88
   200
   160
   196
   88
   130
   Option C
   Double difference
   196 == 198
   

    

3. 9.2, 10.6, 7.6, 12.4, 6, 14, 4.4
   9.2
   10.6
   7.6
   6
   14
   Option B
   +1.6,-3.2,+4.8,-6.4,+8,-9.6
   10.6 == 10.8
   

    

4. 1, 730, 975, 1054, 1081, 1090, 1093
   730
   975
   1081
   1090
   1093
   Option B
   +729,+243,+81,+27,+9,+3

    

5. 3, 4, 9, 28, 113, 565, 3397
   4
   3
   9
   565
   113
   Option D
   *1+1
   *2+1
   *3+1
   *4+1
   *5+1
   *6+1
   565 == 566
   

    

6. A can complete a work in 36 days. B is 33.33% more efficient than A. In how many days both complete the work if they work on alternate days starting with A?
   20
   23
   31
   35
   39
   Option C
   B will complete the work alone in = 3/4 × 36 = 27 days
   A 36 —–3
   —–108
   B 27—– 4
   Let total units of work = 108
   No. of units done by A in 1 day = 3
   No. of units done by B in 1 day = 4
   Total work done in 2 days = 7 units
   Work done in 30 days = 7 × 15 = 105 units
   Remaining work will be done by A in 108 105 3  = 1 day.
   Total days taken = 31 days

    

7. Faizal adds 12% of his salary in PPF. 3/8th of the remaining amount is spent on clothes and the difference between PPF and clothes expenses is Rs 10500. Remaining amount is spent on house rent and other expenses. If house rent expenses is Rs 1500 less than other expenses, then what is the house rent expenses?
   15000
   14000
   13000
   16000
   17000
   Option C
   12% of the salary is added as PPF.
   Remaining Part = 100 – 12 = 88%
   Amount spent on clothes = of 88% = 33%
   Difference between PPF and cloth expanses = 33 – 12 = 21% of salary = 10500
   Total salary = 50000 Other expanses = House Rent expanses + 1500
   House Rent expanses + Other expanses
   = (100 – 33 – 12)% of salary = 55% of salary = 27500
   House Rent expanses + House Rent expanses + 1500 = 27500
   2 × House Rent expanses = 27500 – 1500 = 26000
   House Rent expanses = 13000
   

    

8. In one litre of mixture of alcohol and water, 30% is water. The amount of alcohol that must be added to the mixture, so that the part of water in the mixture becomes 15%, is:
   1000
   985
   1200
   1250
   900
   Option A
   In 1000 ml of mixture, Alcohol = 700 ml
   Water = 300 ml
   Let x ml of alcohol is mixed.
   [300/(1000+x)]*100 = 15
   =>x = 1000 ml
   

    

9. The surface area of a spherical part of a hemispherical bowl with a flat circular detachable cover, excluding the cover, is 616 sq cm. The area of the cover is 38.5 sq cm. What is the volume of the bowl?
   2100
   1952
   2033
   2121
   1990
   Option C
   2*pi*r*r= 616
   r*r = 98
   Volume = 2/3*pi*r*r*r = 2033 cm^3
   

    

10. Sum of present ages of A and B is 41. Age of A 2 year hence is equal to age of C, 1 year ago. Age of A, 4 year hence is equal to age of B 1year ago and ratio of present age of A and D is 3 : 4. Find the difference of age of C and D.
    5
    6
    3
    7
    8
    Option C
    A + B = 41 …(i)
    C -1 = A + 2 C = A + 3
    And A + 4 = B – 1
    ⇒ B = A + 5 …(ii)
    From (i) + (ii)
    A = 18 years
    B = 18 + 5 = 23 years
    C = 18 + 3 = 21 years
    D = 18 *4/3 = 24 years
    Diff. = 3 years