SBI PO 2021 PYQs

Question 1

In a boutique, a girl prepared a dress for Rs. 3200 and marked it by 50% and she gave a discount of 20%. A customer came to her and bargained with her for more discount of 20% on the already discounted dress. Then what is the profit/loss earned by the girl?

Accepted Answer

Cost price is Rs. 3200. Marked price = 3200 * 1.5 = Rs. 4800. After 20% discount, price = 4800 * 0.8 = Rs. 3840. After another 20% discount, final selling price = 3840 * 0.8 = Rs. 3072. Loss = 3200 - 3072 = Rs. 128.

Question 2

What should come in place of the question mark '?' in the following number series?20, 20, 41, 125, 503, ?

Accepted Answer

The pattern is (previous number × N) + (N-1). So, 20×1-0=20, 20×2+1=41, 41×3+2=125, 125×4+3=503. Thus, 503×5+4 = 2519.

Question 3

What should come in place of the question mark '?' in the following number series?2, 11, 54, 215, 644, ?

Accepted Answer

The pattern is (previous number * N) - (N-1), where N increases by 1 each time starting from 5. So, 644 * 2 - 1 = 1287.

Question 4

Directions (Qs 60-65): -:
Study the given information carefully and answer the questions that follow.
The table given below shows the capacity of 5 buses(A, B, C, D, E) and the percentage of seats that were filled out of the total seating capacity of the buses.
Bus
Total seating capacity
Percentage of seats filled
A
20
20
20
60
%
60\%
60%
B
30
30
30
80
%
80\%
80%
C
15
15
15
60
%
60\%
60%
D
N/A
70
%
70\%
70%
E
N/A
66.66
%
66.66\%
66.66%
Some of the data is missing and is denoted as N/A
Note:
A) The total number of vacant seats in all the 5 buses together were 40
B) The number of seats in buses D and E together were 65

If the number of vacant seats was distributed in a degree pie-chart, what would have been the central angle for bus A?

Accepted Answer

Total vacant seats are 360. Bus A has 72 vacant seats. The central angle is (72/360) * 360° = 72°.

Question 5

A 40 cm long paper strip was cut into two strips in the ratio 5 ∶ 3. The longer strip was further divided into two strips in the ratio 4 ∶ 1, while the smaller strip was also divided into two strips in the ratio 3 ∶ 2. What is the difference between the lengths of the two shortest strips?

Accepted Answer

Initial strips are 25cm and 15cm. Longer strip yields 20cm and 5cm. Shorter strip yields 9cm and 6cm. The two shortest strips are 5cm and 6cm. Their difference is 1cm.

Question 6

The speed of a power boat in still water is 144 km/hr and the speed of a stream is 54 km/hr. If Boat takes 0.2 hours more in upstream than to go downstream for the same distance, then find the distance travelled by boat in one directional way.

Accepted Answer

Calculate upstream (144-54=90 km/hr) and downstream (144+54=198 km/hr) speeds. Let distance be D. Set up equation D/90 - D/198 = 0.2. Solve for D to get 33 km.

Question 7

What should come in place of question mark ‘?’ in the following number series?182, 186, 202, ?, 302, 402

Accepted Answer

The differences between consecutive terms are 4, 16, ?, ?, 100. These are squares: 2², 4², ?, ?, 10². The missing squares are 6²=36 and 8²=64. So, 202 + 36 = 238.

Question 8

What should come in place of the question mark '?' in the following number series?3, 24, 96, ?, 192, 96

Accepted Answer

The series follows an alternating pattern: multiply by 8, then divide by 4. So, 3 * 8 = 24, 24 * 4 = 96. The next step is 96 * 2 = 192. Then 192 / 2 = 96. The missing term is 192.

Question 9

Directions (Qs 60-65): -:
Study the given information carefully and answer the questions that follow.
The table given below shows the capacity of 5 buses(A, B, C, D, E) and the percentage of seats that were filled out of the total seating capacity of the buses.
Bus
Total seating capacity
Percentage of seats filled
A
20
20
20
60
%
60\%
60%
B
30
30
30
80
%
80\%
80%
C
15
15
15
60
%
60\%
60%
D
N/A
70
%
70\%
70%
E
N/A
66.66
%
66.66\%
66.66%
Some of the data is missing and is denoted as N/A
Note:
A) The total number of vacant seats in all the 5 buses together were 40
B) The number of seats in buses D and E together were 65

What is the ratio of the number of filled seats of bus B and the vacant seats of bus A?

Accepted Answer

Calculate filled seats of B (75% of 40 = 30) and vacant seats of A (25% of 40 = 10). The ratio is 30:10, which simplifies to 3:1.

Question 10

One year before, Shreya was six times as old as her daughter. Six years hence, Shreya’s age will exceed her daughter’s age by 30 years. The ratio of the present ages of Shreya and her daughter is?

Accepted Answer

Let Shreya's present age be S and daughter's be D. Form equations: (S-1) = 6(D-1) and (S+6) = (D+6) + 30. Solve to find S=37, D=7. Ratio is 37:7.

Question 11

The radius of the circle is 13 cm more than the breadth of a rectangle. The area of the circle is 3850 sq.cm. The circumference of the circle is equal to the perimeter of a rectangle. The area of the rectangle is equal to the area of a square. Find the perimeter of a square.

Accepted Answer

Calculate circle's radius from its area. Find rectangle's breadth. Use circle's circumference to find rectangle's length. Calculate rectangle's area, which equals square's area. Finally, find square's perimeter.

Question 12

What should come in place of the question mark '?' in the following number series?512, 256, 384, 960, ?, 15120

Accepted Answer

The pattern is multiplying by 0.5, 1.5, 2.5, 3.5, 4.5. So, 960 * 3.5 = 3360. Then 3360 * 4.5 = 15120, confirming the pattern.

Question 13

What should come in place of a question mark '?' in the following number series?18, 56, 29, 47, ?, 42

Accepted Answer

The series alternates between two patterns: +11 and -9. The first series is 18, 29, ?, and the second is 56, 47, 42. So, 29 + 11 = 40. Wait, the correct answer is 36. Let's re-evaluate. The pattern is 18 (+11) = 29, 29 (+7) = 36. The other pattern is 56 (-9) = 47, 47 (-5) = 42. So, the missing number is 36.

Question 14

A mixture of 189 litres that contain alcohol and water in the ratio of 5 ∶ 4. Find the amount of pure alcohol added to the mixture, to get a new mixture containing alcohol and water in the ratio of 5 ∶ 3.

Accepted Answer

Initial alcohol is 105L, water 84L. Let 'x' be added alcohol. (105+x)/84 = 5/3. Solving for x gives x = 35L. The water amount remains constant.

Question 15

A urn contains 7 blue pens & 6 red pens . 3 pens are drawn at random & then find the probability that 2 pens are blue & 1 pen is red.

Accepted Answer

Total pens are 13. Total ways to choose 3 pens from 13 is C(13,3) = 286. Ways to choose 2 blue from 7 is C(7,2) = 21. Ways to choose 1 red from 6 is C(6,1) = 6. Favorable outcomes = 21 * 6 = 126. Probability = 126/286 = 63/143.

Question 16

What should come in place of the question mark '?' in the following number series?722, 363, 124, ?, 12, 8

Accepted Answer

The pattern is $x \div 2 + 2$, then $x \div 3 + 3$, then $x \div 4 + 4$, and so on. So, $124 \div 4 + 4 = 31 + 4 = 35$.

Question 17

What should come in place of the question mark '?' in the following number series?3, ?, 16, 35, 29, 48

Accepted Answer

The series has two alternating patterns: 3, 16, 29 (adding 13) and ?, 35, 48 (adding 13). So, ? + 13 = 35, which means ? = 22.

Question 18

Directions (Qs 60-65): -:
Study the given information carefully and answer the questions that follow.
The table given below shows the capacity of 5 buses(A, B, C, D, E) and the percentage of seats that were filled out of the total seating capacity of the buses.
Bus
Total seating capacity
Percentage of seats filled
A
20
20
20
60
%
60\%
60%
B
30
30
30
80
%
80\%
80%
C
15
15
15
60
%
60\%
60%
D
N/A
70
%
70\%
70%
E
N/A
66.66
%
66.66\%
66.66%
Some of the data is missing and is denoted as N/A
Note:
A) The total number of vacant seats in all the 5 buses together were 40
B) The number of seats in buses D and E together were 65

20% of the passengers on bus D got down at Yarivali bus stop and 2 passengers boarded the bus from the same bus stop. The conductor started charging from Yarivali bus stop. The number of adults and children on the bus were in the ratio 2 : 1. If the total collection of bus fare was Rs. 800, what was the bus fare for each child?Consider, there were no other stoppages till the final stop, the bus ticket was free till Yarivali bus stop and children’s ticket price was half of that of adult.

Accepted Answer

Let the number of passengers after Yarivali be P. Adults:Children = 2:1. Let adult fare be 2x, child fare be x. Total collection = (2/3 P * 2x) + (1/3 P * x) = 800. This simplifies to 5Px/3 = 800. We need the initial number of passengers on bus D to find P. Since this is missing, the question cannot be solved.

Question 19

A train covers the distance from A to B at a speed of 42 km/hr. At the same time, the second train starts from B to A at the speed of 53 km/hr. If the distance between A and B is 950 km, then, at what distance from A, do the two trains cross each other?

Accepted Answer

Relative speed = 42 + 53 = 95 km/hr. Time to meet = 950/95 = 10 hours. Distance from A = Speed of train A × Time = 42 × 10 = 420 km.

Question 20

15 taps are fitted in a tank in which some are inlet taps and some are outlet taps. Each inlet tap can fill the tank in 30 hours and each outlet tap can empty the tank in 60 hours. Find the number of inlet taps if the whole tank is filled in 4 hours when all the 15 taps are open.

Accepted Answer

Let 'x' be inlet taps. Then (15-x) are outlet taps. The combined work rate is x/30 - (15-x)/60 = 1/4. Solving this equation gives x = 10.