Quantitative Aptitude Questions for IBPS Exam Set – 29

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1. Ages of A and B are in the ratio 1 : 2 and that of B and C are in the ratio of 3 : 4. Also 5 years ago the average of their ages was 12 years. Then find C’s age?
   A. 20
   B. 24
   C. 26
   D. 30
   

   Answer

   B. 24
   Explanation:
   A/B = 1/2, B/C = 3/4
   A : B : C = 3 : 6 : 8
   Their total ages 3x+6x+8x = 17x
   5 yrs ago, sum of their ages = 17x –(5+5+5) = 17x – 15
   So (17x-15)/3 = 12
   This gives x =3
   So C’s age = 8x = 24 yrs
   
   
2. There are 3 red balls, 4 blue balls and 5 white balls. 2 balls are chosen randomly. Find probability that 1 is red and the other is white.
   A. 5/22
   B. 5/23
   C. 7/22
   D. 4/9
   

   Answer

   A. 5/22
   Explanation:
   3C1 * 5C1 / 12C2
   
   
3. There are 3 red balls, 4 blue balls and 5 white balls. 2 balls are chosen one after other. Find probability that first is red and the second is white.
   A. 5/44
   B. 5/22
   C. 7/44
   D. 5/23
   

   Answer

   A. 5/44
   Explanation:
   (3C1/12C2) * (5C1/11C1)
   
   
4. There are 3 red balls, 4 blue balls and 5 white balls. 2 balls are chosen randomly. Find probability that atmost one ball is white.
   A. 28/43
   B. 28/33
   C. 7/33
   D. 5/23
   

   Answer

   B. 28/33
   Explanation:
   Case 1: 0 white ball
   7C2/12C2
   Case 2: 1 white ball and other any of blue or red
   7C1*5C1/12C2
   Add the two cases.
   
   
5. A man goes from A to B at 14 km/hr and comes back from B to A at 15 km/hr. He covers both the journeys in 5 hrs 48 min. Find the distance from A to B?
   A. 38 km
   B. 40 km
   C. 42 km
   D. 44 km
   

   Answer

   C. 42 km
   Explanation:
   Distance = (S1*S2)/[(S1+S2)t,
   t = 5 hrs 48 min = 5 48/60 = 5 4/5 = 29/5 hrs
   Distance A to B = (14*15)/[(14+15)*29/5] = 42 km
   
   
6. 40 men cut 20 tress in 6 days working 6 hours a day. How many trees will be cut by 30 men in 12 days working 4 hours a day?
   A. 18
   B. 20
   C. 24
   D. 30
   

   Answer

   B. 20
   Explanation:
   Let x trees
   40*6*6*x = 30*12*4*20
   
   
7. A does a work in 15 days, and B does the same work in 16 days. A and B started the work, and after 6 days B left. A completed the remaining work. Find the total number of days after which the work will be completed?
   A. 7 days
   B. 8 ¾ days
   C. 9 days
   D. 9 3/8 days
   

   Answer

   D. 9 3/8 days
   Explanation:
   Let A completed remaining work in ‘x’ days. So,
   (1/15 + 1/16) * 6 + 1/15 * x = 1
   x = 3 3/8
   Total days = 6 + 3 3/8 = 9 3/8
   
   
8. A and B are 250 km apart. A train started from A at 9 AM at 60 km/hr. Another train started from B in opposite direction to A at 9:40 AM at 40 km/kr. At what time will they meet?
   A. 11:40 AM
   B. 12:05 PM
   C. 11:46 AM
   D. 12:46 PM
   

   Answer

   C. 11:46 AM
   Explanation:
   9:40 – 9 = 40 minutes
   After 40 minutes the train started from A with speed 60 km/hr will be 40/60 * 60 = 40 km apart from A.
   Now distance left is 250-40 = 210
   After 9:40 AM, the two train will meet after = 210/(60+40) = 21/10 hrs or 21/10 * 60 = 126 minutes = 2 hrs 6 min
   9:40 + 2 hrs 6 min = 11:46 AM
   
   
9. A and B are 250 km apart. A train started from A at 9 AM at 60 km/hr. Another train started from B in opposite direction to A at 9:40 AM at 40 km/kr. At what distance from A they will meet?
   A. 126 km
   B. 120 km
   C. 130 km
   D. 166 km
   

   Answer

   D. 166 km
   Explanation:
   From 8th ques, t = 21/10 hrs
   Speed of first train is 60. After 40 km from A, the distance travelled by first train in 21/10 hrs = 21/10 * 60 = 126 km.
   From A, they will meet at 40+126 = 166 km far
   
   
   
10. The radii of the bases of cylinder and a cone are in the ratio of 3 : 4 and their heights are in the ratio 2 : 3. Find the ratio of their volumes.
    A. 8 : 9
    B. 9 : 8
    C. 7 : 8
    D. 7 : 9
    

    Answer

    B. 9 : 8
    Explanation:
    Let radii of cylinder and cone be 3r and 4r, heights be 2h and 3h.
    Vol of cylinder = πr²h
    Vol of cone = 1/3 πr²h
    Divide the two and put the values of radii and heights