SBI PO 2021 PYQs

Question 1

What is the average of the vacant seats of buses B, C, D and E?

Accepted Answer

Sum the vacant seats for buses B, C, D, and E (10+12+6+4 = 32). Divide the sum by the number of buses (4) to get the average: 32/4 = 8.

Question 2

Total cost of a rectengular and a square tile of total area 200 m‌2is Rs. 72000. If the area of rectangular tiles is 72 m‌2more than the square tiles. What is the measure of the side of square tile?

Accepted Answer

Let square tile area be S and rectangular be R. R + S = 200 and R - S = 72. Adding equations gives 2R = 272, so R = 136. Then S = 200 - 136 = 64. Side of square is sqrt(64) = 8m.

Question 3

Ujjwal gave two tests having the same maximum marks. The qualifying percentage of the first and second tests are 40% and 30% respectively. In the second test, he scored 132 marks which are 15 less than the qualifying marks. Find the qualifying marks in the first test.

Accepted Answer

Qualifying marks for the second test are 132 + 15 = 147. Since 147 is 30% of the maximum marks, the maximum marks are 147 / 0.30 = 490. The qualifying marks for the first test are 40% of 490, which is 196.

Question 4

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 5

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 6

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 7

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 8

Total number of goods sold by company B and C together is approximately what percentage of the total number of goods produced by company C and D?

Accepted Answer

Calculate total goods sold by B and C. Calculate total goods produced by C and D. Divide the first sum by the second and multiply by 100 to find the percentage.

Question 9

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 10

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 11

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 12

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 13

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 14

Find the ratio of number of goods sold by company A and C together to the number of unsold goods of company B and D together.

Accepted Answer

Calculate total goods sold by A and C. Calculate total unsold goods for B and D. Form the ratio of these two sums and simplify to get 52:33.

Question 15

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 16

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 17

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 18

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 19

If 20% of the seats in bus E were occupied by people aging above 60 , 40% were occupied by females and 50% were occupied by males aging below 60, what was the number of seats occupied by females aging above 60?

Accepted Answer

Total seats are 10. 20% (2 seats) are >60. 50% (5 seats) are males <60. 40% (4 seats) are females. Since 2 seats are >60, and 5 seats are males <60, the remaining 3 seats are females <60. Thus, 4 (total females) - 3 (females <60) = 1 female >60.

Question 20

Total number of goods sold by companies A, B and D together is approx. what percentage more than the number of unsold goods of the same companies?

Accepted Answer

Calculate total sold goods (A+B+D) and total unsold goods (A+B+D). Use the formula: ((Sold - Unsold) / Unsold) * 100 to find the percentage more. The result is approximately 152%.