Quant Test for IBPS PO Prelims Exam set – 30

  1. A well with 28 m inside diameter is dug out 18 m deep. The earth taken out of it has been evenly spread all around it to a width of 21 m to form an embarkment. Find the height of the embarkment.
    3
    6
    2
    4
    7
    Option A
    22/7[(R2) – (r2)] * h = 22/7(7*7*18)
    [(352) – (72)]h = 14 * 14 * 18
    (42*28)h = 14*14*18
    h = 3 m

     

  2. Raj is 25 years old. If Suraj’s age is 25% greater than that of Raj then how much percent Raj’s age is less than Suraj’s age?
    50%
    20%
    40%
    30%
    60%
    Option B
    Percentage decrease = 25/125 * 100 = 20%

     

  3. The population of a village has increased annually at the rate of 20%. If at the end of 3 years it is 21600, the population in the beginning of the first year?
    12200
    11245
    12500
    12000
    12450
    Option C
    21600 = P*(1 + 20/100)^3
    = 12500

     

  4. A Person borrows Rs. 8000 at 20% compound rate of interest. At the end of each year he pays back Rs. 3000. How much amount should he pay at the end of the third year to clear all his dues?
    4560
    4620
    5500
    5904
    4000
    Option D
    At the end of 1st year = 8000+1600= 9600
    Amount = 9600 – 3000 = 6600
    At the end of 2nd year = 6600+1320 = 7920
    Amount = 7920 – 3000 = 4920
    Amount to be paid at the end of 3rd year = 4920 + 984 = 5904

     

  5. 12 Persons are seated at a circular table. Find the probability that 3 particular persons always seated together.
    7/55
    6/55
    3/55
    4/55
    2/55
    Option C
    Total probability = (12-1)! = 11!
    Desired probability = (10 – 1)! = 9!
    So, p = (9! *3!) /11! = 3/55

     

  6. Directions(6-10): Find the wrong number of the following series.

  7. 4 6 18 49 201 1011
    201
    49
    6
    18
    1011
    Option D
    4 × 1 + 2 = 4 + 2 = 6
    6 × 2 + 3 = 12 + 3 = 15 == 18
    15 × 3 + 4 = 45 + 4 = 49
    49 × 4 + 5 = 196 + 5 = 201
    201 × 5 + 6 = 1005 + 6 = 1011

     

  8. 48 72 108 162 243 366
    48
    72
    108
    366
    243
    Option D
    48 ×3/2 = 72; 72 ×3/2 = 108
    108 × 3/2= 162: 162 × 3/2 = 243
    243 ×3/2 = 364.5 == 366

     

  9. 2 54 300 1220 3674 7350
    1220
    300
    3674
    2
    54
    Option C
    2 × 6 + 7 × 6 = 12 + 42 = 54
    54 × 5 + 6 × 5 = 270 + 30 = 300
    300 × 4 + 5 × 4 = 1200 + 20 = 1220
    1220 × 3 + 4 × 3 = 3660 + 12
    = 3672 == 3674
    3672 × 2 + 3 × 2 = 7344 + 6 = 7350

     

  10. 8 27 64 125 218 343
    8
    64
    218
    27
    125
    Option C
    2^3 = 8 : 3^3 = 27
    4^3 = 64 : 5^3 = 125
    6^3 = 216 == 218
    7^3 = 343

     

  11. 19 68 102 129 145 154
    145
    19
    68
    102
    154
    Option D
    19 + 7^2 = 19 + 49 = 68
    68 + 6^2 = 68 + 36 = 104== 102
    104 + 5^2 = 104 + 25 = 129
    129 + 4^2 = 129 + 16 = 145
    145 + 3^2 = 145 + 9 = 154

     


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