SBI PO Quantitative Aptitude Quiz: 30th May

Q1. Two vessels contain a mixture of Spirit and water. In the first vessel the ratio of Spirt to water is 8 : 3 and in the second vessel the ratio is 5 : 1. A 35 litre cask is filled from these vessels so as to contain a mixture of Spirit and water in the ratio of 4 : 1. How many litres are taken from the first vessels ?

Q2. There are 2 bottles containing a mixture of wine, water and alcohol. The first bottle contains wine, water and alcohol in the ratio 3 : 5 : 2. The second bottle contains water and wine in the ratio 5 : 4. 1litre of the first and 2 litres of the second are mixed together. What fraction of the mixture is alcohol?

Q3. If 600 men dig a 5.5 m wide, 4 m deep and 405 m long canal in half an hour, then how long a canal will 2500 men working for 6 hrs, dig if it is 10 m wide and 8 m deep?

Q4. The age of Sulekha and Arunima are in the ratio of 9 : 8 respectively. After 5 years the ratio of their age will be 10 : 9. What is the difference (in years) between their age?

Q5. A man crosses a stationary bus in 18 seconds. The same bus crosses a pole in 4 seconds. What is the respective ratio between the speed of the bus and the speed of the man?

Q6. Train A travelling at 52 km/hr crosses another train B three fourth of train A’s length in 14 sec which is travelling in opposite direction at 38 km/hr. Train A passed a railway platform in 36 seconds. Find the length of platform.

Directions (7-10): Given below are 3 statements with each question, you have to decide that which of the following statement/statements are necessary to answer the question.

Q7. At what time will a train reach Lucknow from Patna?

A. The train crosses another train of equal length of 97.5 m and running in opposite direction in 9 sec.

B. The train leaves Patna at 11:15 am for Lucknow, which is at a distance of 567 km.

C. The 97.50-m-long train crosses a signal pole in 5 sec.

Q8. Find the height of an equilateral triangle.


A. Perimeter of the triangle is equal to the perimeter of the rectangle whose length and breadth are in the ratio of 5 :3.

B. Perimeter of a square is known, which is twice the perimeter of the triangle.

C. Area of the triangle is known.

Q9. What is the value of a two–digit number?

A. The sum of the digits is 5.

B. The difference of the squares of the digits is 15.

C. The difference of their digits is 3.

Q10. A boat takes 2 hours to travel from point A to B in still water. To find out its speed upstream, which of the following information is/are required?

A. Distance between point A and B.

B. Time taken to travel downstream from B to A.

C. Speed of the stream of water.

Directions (11-15): Two equations I and II are given below in each question. You have to solve these equations and give answer

Q11.

Q12.

Q13.

Q14.

Q15.