Quant Test for IBPS PO Prelims Exam set – 29

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

1. 5, 11, ?, 55, 117
   12
   15
   20
   25
   30
   Option D
   5 × 2 + 1 = 11
   11 × 2 + 3 = 25
   25 × 2 + 5 = 55
   55 × 2 + 7 = 117
   ? = 25
   
   
    



2. 3, 10, 21, ?, 51
   30
   22
   18
   14
   34
   Option E
   Difference of difference
   ? = 34
   
   
    



3. 5, 6, ?, 57, 244
   10
   15
   18
   16
   13
   Option D
   5 × 1 + (1)^2 = 6
   6 × 2 + (2)^2 = 16
   16 × 3 + (3)^2 = 57
   57 × 4 + (4)^2 = 244
   ? = 16
   
   
    



4. 5, 3, 4, ?, 38
   15
   19
   12
   10
   17
   Option D
   *1-2
   *2-2
   *3-2
   *4-2
   ? = 10
   
   
    



5. 3, 10, 32, 100, ?
   225
   312
   308
   320
   290
   Option C
   *3+1
   *3+2
   *3+4
   *3+8
   ? = 308
   
   
    



6. Fifteen years ago, Maya’s mother was thrice of Maya’s age and two years ago Maya’s Mother was twice of Maya’s age. What is the present age of Maya’s Mother ?
   50
   45
   54
   59
   48
   Option C
   Maya’s mother age = R1
   Maya’s age = M2
   M1 – 15 = 3 *(M2 – 15) —(1)
   M1 – 2 = 2 *(M2 – 2) —(2)
   From eqn (1) and (2)
   M1 = 54 years
   
   
    



7. A and B undertake to complete a piece of work for Rupees 1200. A can do it in 8 days, B can do it in 12 days and with the help of C they complete the work in 4 days. Find the share of C?
   190
   185
   215
   200
   220
   Option D
   1/8 + 1/12 + 1/C = 1/4, we get C = 24 days
   now efficiency of A, B and C are in the ratio of 1/8 :1/12 : 1/24
   3:2:1, so share of C is 1/6 * 1200 = 200
   
   
    



8. A starts a business with Rs 20,000 and after 4 months B also joins with some capital. After a year, the profit is divided between them in the ratio 5 : 3. How much did B invested?
   20000
   16000
   12000
   18000
   10000
   Option D
   Let B invests Rs x, then ratio of their profits
   20000*12 : x*8 = 30,000 : x
   So 30,000/x = 5/3
   Solve, x = 18,000
   
   
    



9. The ratio of the number of boys and girls in a school is 3:2. If 20% of the boys and 25% of the girls are scholarship holders, the percentage of the students who are not scholarship holders is:
   88%
   72%
   78%
   81%
   70%
   Option C
   Consider Total no of students = 100
   Ratio is 3:2 i.e Boys=60 and Girls=40
   20% of boys who get scholarship = 60*20/100=12%
   25% of girls who get scholarship = 40*25/100 =10%
   Therefore % of students who do not get scholarship =100-(12+10) = 78%
   
   
    



10. A and B are two friends standing in a circular arrangement with 10 more people. Find the probability that exactly 3 persons are seated between A and B.
    5/11
    3/11
    2/11
    6/11
    4/11
    Option C
    Fix P at one point then number of places where B can be seated is 11.
    Now, exactly three persons can be seated between A and B, so only two places where B can be seated.
    So, Probability = 2/11