Quantitative Aptitude Questions for IBPS Exam Set – 30

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1. A bike during a fog passes a man who was walking at the rate of 3 km/hr in the same direction. He could see the bike for 4 min and it was visible to him up to a distance of 100m. What was the speed of the bike?
   A. 4 1/3 km/hr
   B. 4 2/3 km/hr
   C. 4 1/2 km/hr
   D. 4 km/hr
   

   Answer

   C. 4 1/2 km/hr
   Explanation:
   Let speed of bike = x
   Moving in same direction, so relative speed = (x-3) km/hr
   With this relative speed, the bike is seen for 4 min (1/15 hr) up to a distance of 100m (0.1 km), so
   x – 3 = 0.1/(1/15)
   x = 1.5 + 3 = 4.5
   
   
2. A man can row 3/8th of a km upstream in 30 min and return in 12 min. Find the speed of boat in still water.
   A. 21/13 km/hr
   B. 21/16 km/hr
   C. 19/16 km/hr
   D. 19/13 km/hr
   

   Answer

   C. 21/16 km/hr
   Explanation:
   Upstream speed = 3/8 / (30/60) = 3/4 km/kr
   Dowmstream speed = 3/8 / (12/60) = 15/8 km/kr
   Speed of boat in still water = 1/2 (3/4 +15/8)
   
   
3. 12 men and 16 boys can do a piece of work in 5 days and 13 men and 24 boys can do it in 4 days, how long will 7 men and 10 boys take to do it?
   A. 7 days
   B. 8 days
   C. 8 1/3 days
   D. 9 1/3 days
   

   Answer

   C. 8 1/3 days
   Explanation:
   12m + 16b = 1/5
   13m + 24b = 1/4
   Solve the equations
   m = 1/100, b = 1/200
   So 7 men and 10 boys do in 7/100 + 10/200 = 8 1/3
   
   
4. 5 years ago, ratio of ages of A and B was 3 : 7 and 10 years hence the ratio will be 3 : 5. Find the age of B 20 years from now.
   A. 40 years
   B. 24 years
   C. 30 years
   D. 60 years
   

   Answer

   D. 60 years
   Explanation:
   a-5/b-5 = 3/7
   a+10/b+10 = 3/5
   Solve, a = 20, b = 40
   Ans 40 + 20
   
   
5. 100 cats can eat 100 rats in a day. How many rats will be eaten by 1 cat in 100 days?
   A. 100
   B. 10000
   C. 1
   D. 200
   

   Answer

   A. 100
   Explanation:
   Let x rats be eaten by 1 cat
   100*x*1 = 1*100*100
   
   
6. A sum of money invested at compound interest amounts to Rs 4624 in 2 yrs and Rs 4913 in 3 yrs. The sum of money is
   A. Rs 4096
   B. Rs 4260
   C. Rs 4335
   D. Rs 4360
   

   Answer

   A. Rs 4096
   Explanation:
   4913 = P [1 + r/100]³
   4624 = P [1 + r/100]²
   Divide both equations, find r
   Put value of r in one of the equations to find P
   
   
   
7. The difference between compound interest and simple interest on a sum for 2 yrs at 10% per annum, when the interest is compounded annually is Rs 16. If the interest were compounded half yearly, the difference in two interests would be
   A. Rs 24.81
   B. Rs 26.90
   C. Rs 31.61
   D. Rs 32.40
   

   Answer

   A. Rs 24.81
   Explanation:
   when time is 2 yrs
   Diff between SI and CI = Pr²/100², so
   16 = P * 10²/100²
   P = 1600
   SI = 1600*10*2/100
   for compounded half yearly, CI = 1600[1+5/100]⁴ – 1600
   Calculate and find the difference now
   
   
8. The number of employees in companies A, B and C are in the ratio of 5 : 4 : 6. If the number of employees in the companies is increased by 30%, 25% and 50% respectively, what will be the new ratio of employees working in companies A, B, and C
   A. 18 : 17 : 10
   B. 10 : 13 : 18
   C. 13 : 10 : 18
   D. 13 : 15 : 18
   

   Answer

   C. 13 : 10 : 18
   Explanation:
   130/100 * 5 : 125/100 * 4 : 150/100 * 6
   
   
   
9. In a circular race of 900m length, A and B start with speeds 27 km/hr and 36 km/hr resp starting at the same time from the same point. When will they meet for the first time at the starting time at the starting point when running in opposite direction?
   A. 2 min 50 sec
   B. 6 min
   C. 5 min 40 sec
   D. 7 min
   

   Answer

   B. 6 min
   Explanation:
   Time taken by A = 0.9/27 * 60 = 2 min
   Time taken by B = 0.9/36 * 60 = 3/2 min
   First time they meet at = LCM (2 , 3/2) = 6 min
   
   
   
10. A conical vessel whose internal radius is 12 cm and height 50 cm is full of liquid. The contents are emptied into a cylindrical vessel with internal radius 10 cm. Find the height to which the liquid rises in the cylindrical vessel.
    A. 12 cm
    B. 14 cm
    C. 20 cm
    D. 24 cm
    

    Answer

    D. 24 cm
    Explanation:
    Vol. of cylinder = Vol. of cone
    22/7 *10 * 10 * h = 1/3 * 22/7 * 12 * 12 * 50