SBI PO 2021 PYQs

Question 1

When digits of a two-digit number are interchanged, then it becomes 54 more than the original number. The product of the two digits is 16. What is the original number?

Accepted Answer

Let the number be 10x + y. Interchanging digits gives 10y + x. Given 10y + x = 10x + y + 54, simplifying to 9y - 9x = 54 or y - x = 6. Also, xy = 16. Solving these equations, x=2, y=8. So the number is 28.

Question 2

I.4x2+5x+1=0II.2y2+5y+3=0

Accepted Answer

Solve both quadratic equations by factorization. For I, x = -1/4, -1. For II, y = -1, -3/2. Compare all possible pairs of x and y values to determine the relationship.

Question 3

What approximate value should come in the place of question mark (?) in the following question?29.9% of 499.99 - 49.93% of 399.99 + 69.92% of 199.99 = ?

Accepted Answer

Approximate the percentages and numbers to nearest integers: 30% of 500 - 50% of 400 + 70% of 200. This simplifies to 150 - 200 + 140 = 90. The closest option is 70.

Question 4

The Number of Male travelers from Delhi is approximately what percent of total male travelers from three cities?

Accepted Answer

Calculate total male travelers from all cities. Then, divide male travelers from Delhi by this total and multiply by 100 to find the percentage. Round to the nearest whole number.

Question 5

How many girls are there in the section C of class 12th?

Accepted Answer

Locate the data for 'Class 12th', then find 'Section C', and finally identify the number of 'Girls' directly from the provided table/chart.

Question 6

If 40% of the doctors have red as their favourite colour, then how many of other people like red colour too?

Accepted Answer

The question asks 'how many of other people like red colour too?' but does not provide total number of people or doctors. Thus, the information is insufficient to answer.

Question 7

Six years hence, the age of A would be56th of the age of B. 4 years ago, the ages of A and B were in  the ratio of 10 : 13. What is the present age of C, who is 5 years elder to A?

Accepted Answer

Formulate equations based on given ratios for A and B's ages. Solve for A's present age, which is 24 years. Then add 5 years to A's age to find C's present age.

Question 8

I.x2+3x−4=0II.y2+2y+1=0

Accepted Answer

Solve equation I: (x+4)(x-1)=0, so x = -4, 1. Solve equation II: (y+1)^2=0, so y = -1. Comparing values, x can be less than or greater than y, hence no relation.

Question 9

What approximate value should come in the place of question mark (?) in the following question?638.4 ÷ 22.1 + 99.7 × 20.1 - (27)2= ?

Accepted Answer

Approximate the values: 638 ÷ 22 + 100 × 20 - 27^2. This becomes 29 + 2000 - 729. Calculating this gives 2029 - 729 = 1300.

Question 10

Find the difference between the number of child travelers from Bangalore and Delhi.

Accepted Answer

Identify child travelers from Bangalore (2000) and Delhi (1320) from the data. Subtract Delhi's count from Bangalore's: 2000 - 1320 = 680.

Question 11

How many total number of boys are there in the sections D and E of class 12th?

Accepted Answer

From the bar graph, section D has 28 boys and section E has 30 boys. Adding these values, 28 + 30 = 58. So, the total number of boys is 58.

Question 12

What is the difference between the number of people who like red and those who like the yellow colour?

Accepted Answer

Identify the number of people who like red and yellow from the graph. Subtract the smaller value from the larger value to find the difference.

Question 13

In a mixture, ratio of milk and water is 6 : 1. 21 liters of mixture is withdrawn, and 77 liters of water is added to the mixture. If the total quantity of resultant mixture is twice of the quantity of original mixture, what was the amount of milk in original mixture?

Accepted Answer

Let original mixture be 7x. After removing 21L and adding 77L water, total mixture is 7x - 21 + 77 = 7x + 56. Given 7x + 56 = 2 * 7x, so 7x = 56. Original milk was (6/7)*56 = 48L.

Question 14

I.x2−12x+27=0II.y2−3y+2=0

Accepted Answer

Factorize both quadratic equations. For I, x=3, 9. For II, y=1, 2. Comparing all possible pairs shows X is always greater than Y.

Question 15

What approximate value should come in the place of the question mark (?) in the following question?39.98% of 699.97 = 799.98 + 59.84% of 599.99 - ?

Accepted Answer

Approximate the values: 40% of 700 = 280. 60% of 600 = 360. So, 280 = 800 + 360 - ?. This simplifies to 280 = 1160 - ?, giving ? = 880.

Question 16

Find the ratio between male and female travelers from Bangalore.

Accepted Answer

From the data, male travelers from Bangalore are 70 and female travelers are 100. The ratio is 70:100, which simplifies to 7:10.

Question 17

How many numbers of painters and professors like blue colour if 30% of painters and 10% of professors like the blue colour.

Accepted Answer

Calculate 30% of 12000 painters (3600) and 10% of 20000 professors (2000). Sum these values: 3600 + 2000 = 5600.

Question 18

A and B started a business together in a partnership. B left the business after 8 months. At the end of year profit is Rs. 4000, out of which profit of B is Rs. 3000, the investment of B is how much percentage more than the investment of A?

Accepted Answer

A's profit is 4000-3000 = 1000. B's investment for 8 months, A's for 12 months. Profit ratio (A:B) = 1000:3000 = 1:3. Let investments be I_A and I_B. (I_A*12)/(I_B*8) = 1/3. So I_B/I_A = 36/8 = 4.5. B's investment is (4.5-1)*100% = 350% more than A's.

Question 19

I.x2+7x+10=0II.y2−4y−12=0

Accepted Answer

Solve both quadratic equations for their roots. For I, x = -2, -5. For II, y = 6, -2. Comparing all possible pairs, we find X ≤ Y.

Question 20

What approximate value should come in the place of the question mark (?) in the following question?39.99% of 799.98 + 59.98% of 499.98 = 24.89% of ?

Accepted Answer

Approximate values: 40% of 800 + 60% of 500 = 25% of ?. This simplifies to 320 + 300 = 620. So, 620 = 25% of ?, which means ? = 620 * 4 = 2480.