Quant Test for IBPS PO Prelims Exam set – 33

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

1. 6, 3, 3, 6, 24, ?
   180
   175
   166
   192
   197
   Option D
   *0.5,*1,*2,*4,*8
   ? = 192
   
   
    



2. 3, 8, 18, 38, 78, ?
   166
   178
   158
   190
   185
   Option C
   +5,+10,+20,+40,+80
   ? = 158
   
   
    



3. 5, 8, 12, 18, 27, ?
   54
   60
   40
   48
   67
   Option C
   Double difference
   ? = 40
   
   
    



4. 142, 133, 115, 88, ?
   62
   67
   54
   48
   52
   Option E
   -9,-18,-27,-36
   ? = 52
   
   
    



5. 2, 10, 30, 68, 130, ?
   200
   195
   250
   214
   222
   Option E
   Double difference
   ? = 222
   
   
    



6. A pipe can fill a cistern in 6 hrs. Due to a leak in its bottom, it is filled in 7 hrs. When the cistern is full, in how much time will it be emptied by the leak?
   50
   48
   55
   42
   60
   Option D
   In one hour 1/6 – 1/7 = 1/42 of the cistern is empty
   The whole cistern will be emptied in 42 hrs.
   
   
    



7. Ram travels a certain distance at 3 km/h and reaches 15 minutes late. If he travels at 4 km/h, he reaches 15 minutes earlier. The distance he has to travel is:
   8
   5
   9
   6
   4
   Option D
   Let x be the required distance.
   x/3 – x/4 = (15+15)/60
   x = 6 km
   
   
    



8. A father’s age is three times the sum of the ages of his two children, but 20 years hence his age will be equal to the sum of their ages. Then, the father’s age is:
   25
   30
   15
   20
   27
   Option B
   Let the father’s age be x years and age of his children be a and b years
   (𝑎 + 𝑏) = 𝑥/3
   And
   (𝑎 + 𝑏) + 20 + 20 = 𝑥 + 20
   ⇒ 𝑥/3 + 20 = 𝑥
   ⇒ 𝑥 = 30 years
   
   
    



9. A sum was put at simple interest at a certain rate for 3 years. Had it been put at 1% higher rate, it would have fetched Rs. 5100 more. The sum is:
   15000
   14000
   13000
   17000
   19000
   Option D
   Simple interest for 1 year = 5100/3 = 𝑅𝑠. 1700
   1% of sum = 17000
   sum = 1700×100/1 = 𝑅𝑠.17000
   
   
    



10. A card is drawn at random from a well-shuffled pack of 52 cards. What is the probability of getting a two of hearts or a two diamonds?
    3/14
    1/12
    4/13
    2/17
    5/18
    Option D
    Required probability = [13𝐶2 + 13𝐶2]/ 52𝐶2 = (78+78)/1326 = 156/1326 = 2/17