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


6. 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
   
   
    



7. 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
   
   
    



8. 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
   
   
    



9. 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
   
   
    



10. 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