Quantitative Aptitude Questions for IBPS Exam Set – 27

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1. In what proportion must water be mixed with alcohol to gain 13 1/3% by selling it at cost price?
   A. 1 : 5
   B. 2 : 15
   C. 3: 10
   D. 10 : 3
   
   Answer

   B. 2 : 15
   Explanation:
   Ratio:
   13 1/3 : 100
   40/3 : 100
   40 : 300
   2: 15
   
   
2. If 2 men or 4 boys can do a piece of work in 126 days, how long will 6 men and 9 boys take to do the same work?
   A. 12 days
   B. 16 days
   C. 20 days
   D. 24 days
   
   Answer

   D. 24 days
   Explanation:
   126*2*4 / 2*9 + 4*6 = 24
   
   
   
3. At simple interest, Rs 64 amounts to Rs 83.2 in 2 yrs, what will rs 86 amount to in 4 yrs?
   A. Rs 137.6
   B. Rs 130
   C. Rs 135.6
   D. Rs 135.7
   
   Answer

   A. Rs 137.6
   Explanation:
   Rs 64 in 2 yrs give SI = 83.2–64 = Rs 19.2
   Interest on Rs 86 for 4 yrs = 19.2 * [86/64] [4/2] = Rs 51.6
   Amount on Rs 86 = 86+51.6 =137.6
   
   
4. 8 men and 16 women do a work in 8 days, then in how many days 6 men and 12 women do the same work?
   A. 6 days
   B. 10 days
   C. 10 2/3 days
   D. Cannot be determined
   
   Answer

   C. 10 2/3 days
   Explanation:
   In this 8 : 16 is same as 6 : 12
   So we can use as:
   8m + 16w = 8 days
   8(1m + 2w) = 8 days
   1m + 2w = 8*8 days
   6(1m + 2w) = 8*8/ 6 days
   6m + 12w = 10 2/3 days
   
   
5. A is twice good as workman as B. A and B together do a piece of work in 18 days, then in how many days A does the work alone?
   A. 15 days
   B. 18 days
   C. 25 days
   D. 27 days
   
   Answer

   D. 27 days
   Explanation:
   A+B do work in 18 days, this implies twice good + once good workman do in 18 days.
   3 times good in 18 days
   1 time good in 18*3 days
   A(twice good) work in 18*3 / 2 = 27 days
   
   
6. A man purchases apples at 11 for Rs 10 and sells them at 10 for Rs 11. Find the profit/loss percent?
   A. 21%
   B. 22 2/3%
   C. 25%
   D. 27%
   
   Answer

   A. 21%
   Explanation:
   Profit% = (11*11 – 10*10 / 10*10) * 100 = 21%
   
   
7. The incomes of A and B are in the ratio 2 : 5 and their expenditures are in the ratio 4 : 9. If A saves Rs 2000 and B saves Rs 6000, what is B’s income?
   A. Rs 15,000
   B. Rs 12,000
   C. Rs 14,000
   D. Rs 13,000
   
   Answer

   A. Rs 15,000
   Explanation:
   2x – 4y = 2000
   5x – 9y = 6000
   Solve the equations, x = 3000
   So A’s income = 5x = 5*3000 = 15,000
   
   
8. A man bought a shirt at 5/6th of its list price and sold it at 20% above its list price. What is his percentage gain in the transaction?
   A. 26%
   B. 34%
   C. 40%
   D. 44%
   
   Answer

   D. 44%
   Explanation:
   6/5 [100+20] – 100 = 44%
   
   
9. In going 30 km upstream and come back, speed of boat in still water is 12 km/hr and speed of stream is 4 km/hr. If it takes 2 hrs to go upstream, then find the time taken for downstream journey?
   A. 1 hr
   B. 2 hr
   C. 3 hr
   D. 4 hr
   
   Answer

   A. 1 hr
   Explanation:
   Use:
   B = [t_u + t_d] / [t_u – t_d] * R
   12 = [2+ t_d] / [2- t_d] * 3
   t_d = 1 hr
   
   
   
10. A man can row 9 km/hr in still water. When the river is running at 6 km/hr, it takes him 6 hrs to row to a place and come back. How far is the place?
    A. 15 km
    B. 18 km
    C. 20 km
    D. 22 km
    
    Answer

    A. 15 km
    Explanation:
    Time is total time to go upstream and downstream
    B is speed of boat in still water, R is speed of river/stream
    Distance = time * [B^2 – R^2] / 2*B
    = 3 * [9^2 – 6^2] / 2*9