Quant Test for IBPS PO Prelims Exam set – 9

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

1. 10,22,46,82,130,189
   10
   22
   189
   46
   82
   Option C
   +6*2
   +6*4
   +6*6
   +6*8
   +6*10
   190 instead of 189.
   
   
    



2. 54,67,81,96,112,128
   67
   128
   54
   112
   81
   Option B
   +13,+14,+15,+16,+17
   129 instead of 128.
   
   
    



3. 22,30,46,70,104,142
   104
   22
   30
   46
   70
   Option A
   +8*1
   +8*2
   +8*3
   +8*4
   +8*5
   102 instead of 104.
   
   
    



4. 27,38,51,65,83,102
   65
   27
   38
   51
   83
   Option A
   5^2+2
   6^2+2
   7^2+2
   8^2+2
   9^2+2
   10^2+2
   66 instead of 65.
   
   
    



5. 1,16,128,512,1024,1022
   16
   1022
   1
   512
   1024
   Option B
   *16
   *8
   *4
   *2
   *1
   1024 instead of 1022.
   
   
    



6. Anuj invested a certain sum of money in a simple interest bond, that value grew to Rs. 300 at the end of 3 year and to Rs. 400 at the end of another 5 year. Then what was the rate of interest in which he invested his sum?
   2.15%
   5.55%
   6.73%
   8.33%
   4.14%
   Option D
   P*R*3/100 + P = 300 –(i)
   P*R*8/100 + P = 400 –(ii)
   From (i) and (ii)
   P*R*5/100 = 100
   P*R = 2000—(iii)
   Sub (iii) in (i)
   6000/100 + P = 300
   P = 240
   240*R = 2000
   => R = 8.33%
   
   
   
    



7. The sum of ages of family members (both children and parents) is 360 years.The total ages of children and parents are in the ratio 2:1 and the ages of wife and husband are in the ratio 5:7.What will be the age of husband?
   30 years
   40 years
   50 years
   70 years
   60 years
   Option D
   Sum of ages is 360 years.
   The ratio of children and parents ages is 2:1.
   Total age of parents = 360 x 1 / 3 = 120 years
   Ratio of wife and husband age is 5:7.
   Therefore, the age of husband = 120 x 7 / 12 = 70 years
   
   
    



8. The driver of an ambulance sees a college bus 40 m ahead of him after 20 seconds, the college bus is 60 meter behind. If the speed of the ambulance is 30 km/h, what is the speed of the college bus?
   13 kmph.
   16 kmph.
   10 kmph.
   12 kmph.
   19 kmph.
   Option D
   Relative Speed = (Total distance)/total time
   = (60+40) /20 = 5 m/s = (5*18)/5 = 18 kmph
   Relative Speed = (speed of ambulance – speed of College bus)
   Speed of College bus = speed of ambulance – relative speed.
   = 30-18 = 12 kmph.
   
   
    



9. A trader sells Rice to a customer at a profit of x% over the cost price, besides if he cheats his customer by giving 950 g instead of 1Kg. Thus his overall percentage is 20%. Then what is the value of x?
   12%
   19%
   17%
   10%
   14%
   Option E
   1000*(100+x/100) = 950*120/100
   x = 14%
   
   
    



10. A box contains 4 red, 5 black and 6 green balls. 3 balls are drawn at random. What is the probability that all the balls are of same colour?
    31/459
    33/450
    30/457
    34/455
    35/451
    Option D
    (4c3 + 5c3 + 6c3)/15c3 = 34/455