SBI PO 2021 PYQs

Question 1

If 10% of female travelers are first-time travelers from three cities then the approximate average number of old female travelers of three cities are –

Accepted Answer

Calculate 90% of female travelers for each city (since 10% are first-time). Sum these values and divide by 3 to find the average number of old female travelers.

Question 2

In the following question two equations numbered I & II are given. You have to solve both the equations and mark answers.(i). 5x2– 18x + 16 = 0(ii). Y2– 21y + 104 = 0

Accepted Answer

Solve 5x² - 18x + 16 = 0 to get x = 2, 8/5. Solve Y² - 21y + 104 = 0 to get y = 8, 13. Comparing values, x is always less than y.

Question 3

What is the total number of people who like Brown colour?

Accepted Answer

To find the total number of people who like Brown, locate 'Brown' on the chart and read the corresponding value. The value for Brown is 1800.

Question 4

24, 12, 12, 18, 36, ?

Accepted Answer

The pattern is multiplying by 0.5, 1, 1.5, 2. The next multiplier is 2.5. So, 36 * 2.5 = 90.

Question 5

I.x2+4x+4=0II.y2+3y+2=0

Accepted Answer

Solve both quadratic equations. Equation I gives x = -2 (repeated root). Equation II gives y = -1 or y = -2. Comparing these, x is always less than or equal to y.

Question 6

What should come in place of the question mark '?' in the following number series?25, 26, 18, 45, ?, 106

Accepted Answer

The pattern is: +1^3, -2^3, +3^3, -4^3, +5^3. So, 25 + 1 = 26; 26 - 8 = 18; 18 + 27 = 45; 45 - 64 = -19. The next term would be -19 + 125 = 106.

Question 7

Approximately, the number of child travelers from all three cities is approximately what percent less than the number of Male travelers from all three cities?

Accepted Answer

Calculate total child travelers and total male travelers. Find the difference, then divide by total male travelers and multiply by 100 to get the percentage decrease. (100 - 233) / 233 * 100 = 57.08%.

Question 8

In the following questions two equations numbered I and II are given. You have to solve both the equations and find the relation between x ​and y.I. x2+ 3x + 2 = 0II. 2y2= 5y

Accepted Answer

Solve equation I: (x+1)(x+2)=0, so x = -1, -2. Solve equation II: 2y^2 - 5y = 0, so y(2y-5)=0, giving y = 0, 2.5. Comparing values, x is always less than y.

Question 9

A mixture has 12 litres of milk and 20 litres of water. 6.4 litres of mixture is drawn out and replaced with milk. Find the final ratio of milk and water.

Accepted Answer

Initial ratio of milk to water is 12:20 or 3:5. When 6.4L is removed, 2.4L milk and 4L water are removed. Remaining milk is 9.6L, water is 16L. Adding 6.4L milk makes total milk 16L. Final ratio is 16:16 or 1:1.

Question 10

158, ?, 147, 197, 132, 214

Accepted Answer

The series alternates between subtracting 11 and adding 50. The first term is 158. So, 158 + 50 = 208. Then 208 - 11 = 197. The pattern is +50, -11, +50, -11. Thus, the missing number is 208.

Question 11

24, 36, 72, 180, 540, ?

Accepted Answer

The pattern is multiplication by 1.5, 2, 2.5, 3. The next multiplier is 3.5. So, 540 * 3.5 = 1890.

Question 12

What will come in the place of the question mark (?) in the following number series?18, 20, 26, 38,  58, ?

Accepted Answer

The differences between consecutive terms are 2, 6, 12, 20. The second differences are 4, 6, 8. The next second difference will be 10, making the next first difference 30. So, 58 + 30 = 88.

Question 13

The Number of students in section A and B are 40 and 60 respectively. The average score in physics of students in section A is 35 and that of students in section A and B together is 50.  What is the average score of the students of section B in physics?

Accepted Answer

Calculate total score for A (40*35=1400) and combined (100*50=5000). Subtract A's total from combined to get B's total (5000-1400=3600). Divide B's total by B's students (3600/60=60) for the average.

Question 14

A train left A for B. Travelled for 3/4thdistance between the A and B which is 540 km, train was stopped by signal for 1 hour. To cover the distance, train speed is increased by 15 kmph. Find the increased speed of the train.

Accepted Answer

Total distance is 540 / (3/4) = 720 km. Remaining distance is 180 km. Let original speed be 'v'. Time saved by increased speed (v+15) for 180 km must be 1 hour. Solve 180/v - 180/(v+15) = 1 to get v=45 kmph. Increased speed is 45+15=60 kmph.

Question 15

4.8, 6.7, 10.5, 18.1, ?, 63.7

Accepted Answer

The pattern is that the difference between consecutive terms doubles each time: 1.9, 3.8, 7.6. The next difference should be 15.2. So, 18.1 + 15.2 = 33.3.

Question 16

49, 45, 61, 25, ?, −11

Accepted Answer

The series follows an alternating pattern: subtract 4, add 16, subtract 36, add 64. The differences are squares of even numbers (2², 4², 6², 8²). So, 25 + 64 = 89.

Question 17

What should come in place of the question mark '?' in the following number series?5, 12, 33, 136, 675, ?

Accepted Answer

The pattern is (previous number * N) + (N+2), where N increases by 1 each time. So, 5*1+2=7 (error in question, should be 5*2+2=12). The correct pattern is (previous number * N) + (N+2) where N starts from 2. So, 5*2+2=12, 12*3+3=39 (error in question, should be 12*3-3=33). The correct pattern is (previous number * N) + (N+2) where N starts from 2. So, 5*2+2=12, 12*3-3=33, 33*4+4=136, 136*5-5=675. The next term is 675*6+6 = 4050+6 = 4056.

Question 18

The ratio of sale of mobile phones of a shop on Monday, Tuesday, Wednesday and Thursday is 5 : 4 : 8 : 3. The sale on Wednesday was 160. Find the number of mobile phones sold on Friday if the sale of Friday is 20% more than Monday.

Accepted Answer

Wednesday's ratio is 8, corresponding to 160 phones. So, 1 unit = 160/8 = 20 phones. Monday's sale is 5 units = 5 * 20 = 100 phones. Friday's sale is 20% more than Monday's, so 100 + (20% of 100) = 120 phones.

Question 19

A boat can travel 20 km downstream in 50 min. If the speed of water is 20% of the speed of the boat downstream, how much time a boat will take to travel 60 km upstream?

Accepted Answer

Calculate downstream speed. Use water speed relation to find boat and water speeds. Then calculate upstream speed and time for 60 km. Downstream speed = 24 km/hr. Water speed = 4.8 km/hr. Boat speed = 19.2 km/hr. Upstream speed = 14.4 km/hr. Time = 60/14.4 = 4.166 hours = 250 minutes.

Question 20

3, 16, 65, 196, ?, 394

Accepted Answer

The pattern is (previous number * N) + (N-1). For N=5, (65*3)+1 = 196. For N=4, (196*2)+0 = 392. So, the missing number is 393.