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SBI PO Previous Year Question Paper
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Question 1 of 10
1. Question
1 pointsCategory: Quantitative AptitudeDirections. (Q15). Compare the value of 2 quantities given in the following questions and choose the correct option.
Quantity 1: Capacity of the tank in gallons. Two pipes A and B can fill a water tank in 10 min and 20 min respectively. A third pipe C can empty it at the rate of 2 gallons per minute. All the three pipes, if opened together, can fill the tank in 100/11 minutes.
Quantity 2: Cost prize of the article in rupees. Shopkeeper earns 100/3% profit even after selling it at a discount of 32%. Marked prize of the article is Rs 100.Correct
Answer 2) quantity 1 < quantity 2.
Explanation let the pipe C empties the tank in x minutes. Then,
1/10 + 1/20 – 1/x = 11/100
1/x = 1/10 + 1/20 – 11/100 = 1/25
x = 25 min
Since it empties the tank at the rate of 2 gallons per min, capacity of tank = 25 × 2 = 50 gallons = quantity 1Selling prize of the article = 68% of 100 = Rs 68
Cost prize of the article = 68/ (100 + 100/3) × 100 = Rs 51 = quantity 2
Therefore, option 2) is the correct one.Incorrect
Answer 2) quantity 1 < quantity 2.
Explanation let the pipe C empties the tank in x minutes. Then,
1/10 + 1/20 – 1/x = 11/100
1/x = 1/10 + 1/20 – 11/100 = 1/25
x = 25 min
Since it empties the tank at the rate of 2 gallons per min, capacity of tank = 25 × 2 = 50 gallons = quantity 1Selling prize of the article = 68% of 100 = Rs 68
Cost prize of the article = 68/ (100 + 100/3) × 100 = Rs 51 = quantity 2
Therefore, option 2) is the correct one. 
Question 2 of 10
2. Question
1 pointsCategory: Quantitative AptitudeDirections. (Q15). Compare the value of 2 quantities given in the following questions and choose the correct option.
Quantity 1. The cost prize of the watch. If shopkeeper reduces the selling prize by Rs 5, his profit percent of 8% changes into 6%.
Quantity 2. Rs 259.Correct
Answer 2) quantity 1 < quantity 2
Explanation Cost prize of the watch = 5/ (8 – 6) × 100 = Rs 250 = quantity 1
Quantity 2 = Rs 259
Hence option 2) is correct.Incorrect
Answer 2) quantity 1 < quantity 2
Explanation Cost prize of the watch = 5/ (8 – 6) × 100 = Rs 250 = quantity 1
Quantity 2 = Rs 259
Hence option 2) is correct. 
Question 3 of 10
3. Question
1 pointsCategory: Quantitative AptitudeDirections. (Q15). Compare the value of 2 quantities given in the following questions and choose the correct option.
Quantity 1. Rohit’s average after 15 innings. Rohit scores 114 runs in his 15th innings and thus increases his average by 2 runs.
Quantity 2. Speed of the boat in still water (in km/h). Boat goes 90km upstream in 2 hours. Speed of the current is 5 km/h.Correct
Answer 1) quantity 1 > quantity 2
Explanation Rohit’s average after 14 innings = 114 – 2 × 15 = 84
Rohit’s average after 15 innings = 84 + 2 = 86 = quantity 1
Speed of the boat upstream = 90/2 = 45 km/h
Speed of the boat in still water = 45 + 5 = 50 km/h = quantity 2
Hence option 1) is correct.Incorrect
Answer 1) quantity 1 > quantity 2
Explanation Rohit’s average after 14 innings = 114 – 2 × 15 = 84
Rohit’s average after 15 innings = 84 + 2 = 86 = quantity 1
Speed of the boat upstream = 90/2 = 45 km/h
Speed of the boat in still water = 45 + 5 = 50 km/h = quantity 2
Hence option 1) is correct. 
Question 4 of 10
4. Question
1 pointsCategory: Quantitative AptitudeDirections. (Q15). Compare the value of 2 quantities given in the following questions and choose the correct option.
Quantity 1. Value of x in x^{2} – 13x + 22 = 0
Quantity 2. Time taken by trains to cross each other after they meet (in seconds) . Two trains of length 108 m and 112 m are running towards each other at the speed of 45 km/h and 54 km/h.Correct
Answer 2) quantity 1 = quantity 2 or the relationship between the two cannot be established.
Explanation x^{2} – 13x + 22 = 0
x^{2 }– 11x – 2x + 22 = 0, (x – 11)(x – 2) = 0
Therefore, x = 11, 2 = quantity 1Time taken by the trains to cross each other = (108 + 112) / (45 × 5/18 + 54 × 5/18) = 8 sec = quantity 2
Therefore, option 2) is correctIncorrect
Answer 2) quantity 1 = quantity 2 or the relationship between the two cannot be established.
Explanation x^{2} – 13x + 22 = 0
x^{2 }– 11x – 2x + 22 = 0, (x – 11)(x – 2) = 0
Therefore, x = 11, 2 = quantity 1Time taken by the trains to cross each other = (108 + 112) / (45 × 5/18 + 54 × 5/18) = 8 sec = quantity 2
Therefore, option 2) is correct 
Question 5 of 10
5. Question
1 pointsCategory: Quantitative AptitudeDirections. (Q15). Compare the value of 2 quantities given in the following questions and choose the correct option.
Quantity 1. Money borrowed at 8% p.a. Sonu borrowed a total amount of Rs 4500, a part of it on simple interest rate of 8 % p.a. and remaining on 14 % p.a. At the end of two years he paid Rs 5400 to settle the loan amount.
Quantity 2. Rs 4000.Correct
Answer 2) quantity 1 < quantity 2
Explanation Let the money borrowed at 8% be x.
Then, 16% of x + 28% of (4500 – x) = 900
1260 – 12% of x = 900
12% of x = 360
x = Rs 3000 = quantity 1Quantity 2 = Rs 4000
Therefore, option 2) is correct.Incorrect
Answer 2) quantity 1 < quantity 2
Explanation Let the money borrowed at 8% be x.
Then, 16% of x + 28% of (4500 – x) = 900
1260 – 12% of x = 900
12% of x = 360
x = Rs 3000 = quantity 1Quantity 2 = Rs 4000
Therefore, option 2) is correct. 
Question 6 of 10
6. Question
1 pointsCategory: Quantitative AptitudeDirections(Q610). The following questions are accompanied by two statements. You have to determine which statement/ statements is/are sufficient to answer the questions.
In how many days B can complete the work?
A) A and B can do a piece of work in 60/11 days and B and C can do the same piece of work in 60/17 days
B) A, B and C together can do a piece of work in 60/23 days. Also, ratio of efficiencies of A and B is 6:5.Correct
Answer 5) if statements A and B together are sufficient to answer the question.
Explanation if we use only statement A, we will have three variables to solve from a single equation.
If we use statement B alone, we will have two variables to solve from a single equation ( if we consider number of days taken by A and B to complete the work as 5x and 6x and that by C as y, we will be left to solve two variables to solve from a single equation)
However, if we take both the equations together, we can easily calculate the number of days taken by B to complete the work.Incorrect
Answer 5) if statements A and B together are sufficient to answer the question.
Explanation if we use only statement A, we will have three variables to solve from a single equation.
If we use statement B alone, we will have two variables to solve from a single equation ( if we consider number of days taken by A and B to complete the work as 5x and 6x and that by C as y, we will be left to solve two variables to solve from a single equation)
However, if we take both the equations together, we can easily calculate the number of days taken by B to complete the work. 
Question 7 of 10
7. Question
1 pointsCategory: Quantitative AptitudeDirections(Q610). The following questions are accompanied by two statements. You have to determine which statement/ statements is/are sufficient to answer the questions.
What is the circumference of base of the cylinder?
A) Height of the cylinder is 12 cm.
B) Total surface of the cylinder is 154 cm2.Correct
Answer 4) if statements A and B together are not sufficient to answer the question.
Explanation Total surface area of the cylinder = 2∏r (r + h) = 154 (by using statement B)
By using statement A, we have,
2∏r (r + 12) = 154
2∏r2 + 24∏r = 154
Circumference of the base of the cylinder is 2∏r, but we can’t get it from the above statement.Incorrect
Answer 4) if statements A and B together are not sufficient to answer the question.
Explanation Total surface area of the cylinder = 2∏r (r + h) = 154 (by using statement B)
By using statement A, we have,
2∏r (r + 12) = 154
2∏r2 + 24∏r = 154
Circumference of the base of the cylinder is 2∏r, but we can’t get it from the above statement. 
Question 8 of 10
8. Question
1 pointsCategory: Quantitative AptitudeDirections(Q610). The following questions are accompanied by two statements. You have to determine which statement/ statements is/are sufficient to answer the questions.
What is the length of train?
A. Train crosses a pole in 20 sec.
B. Train crosses a bridge which is half of the length of train in 28 sec.Correct
Answer 4) if statements A and B together are not sufficient to answer the question.
Explanationit is apparent that any of the statements alone cannot answer the question.
Let the length of the train be x. Then, by using both the statements, we have,
(x + 0.5x)/28 = x/20
1.5x/28 = x/20
Therefore, variable x will be cancelled out. So we can’t find the value of x even after using both the equations.Incorrect
Answer 4) if statements A and B together are not sufficient to answer the question.
Explanationit is apparent that any of the statements alone cannot answer the question.
Let the length of the train be x. Then, by using both the statements, we have,
(x + 0.5x)/28 = x/20
1.5x/28 = x/20
Therefore, variable x will be cancelled out. So we can’t find the value of x even after using both the equations. 
Question 9 of 10
9. Question
1 pointsCategory: Quantitative AptitudeDirections(Q610). The following questions are accompanied by two statements. You have to determine which statement/ statements is/are sufficient to answer the questions.
What is the rate of interest per annum?
A) A sum on compound interest amounts Rs 6500 after 4 years and Rs 98885.6875 after 7 years.
B) The sum amounts Rs 7475 after 5 years and Rs 8596.25 after 6 years.Correct
Answer 2) if either statement A alone or statement B alone is sufficient to answer the question.
Explanation By using statement A alone, we have,
(9885.6875 – 6500)/6500 × 100 = 52.0875%, which the compound interest after three years when it is 15% p.a.
By using statement B, we have, (8596.25 – 7475)/7475 × 100 = 15% p.a.Incorrect
Answer 2) if either statement A alone or statement B alone is sufficient to answer the question.
Explanation By using statement A alone, we have,
(9885.6875 – 6500)/6500 × 100 = 52.0875%, which the compound interest after three years when it is 15% p.a.
By using statement B, we have, (8596.25 – 7475)/7475 × 100 = 15% p.a. 
Question 10 of 10
10. Question
1 pointsCategory: Quantitative AptitudeDirections(Q610). The following questions are accompanied by two statements. You have to determine which statement/ statements is/are sufficient to answer the questions.
What is the ratio of radius and height of a right circular cone?
A) Ratio of surface area of the cone to the area of the base is 5:3.
B) Slant height of the cone is 10cm.Correct
Answer 1) if statement A alone is sufficient to answer the question.
Explanation Surface area of the cone = ∏rl and area of the base = ∏r^{2}
We have, ∏rl / ∏r^{2} = 5:3
l/r = 5/3
Then, h/r = 4/3, therefore, r:h = 3:4Incorrect
Answer 1) if statement A alone is sufficient to answer the question.
Explanation Surface area of the cone = ∏rl and area of the base = ∏r^{2}
We have, ∏rl / ∏r^{2} = 5:3
l/r = 5/3
Then, h/r = 4/3, therefore, r:h = 3:4
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