SBI PO 2023 PYQs

Question 1

Sunil invested Rs. x in scheme A at a rate of 15% per annum for 2 years at Simple Interest and invested Rs. (x + 500) in scheme B at the rate of 12% per annum for 2years at simple Interest. If the total interest received by him at the end of 2 years is Rs. 4224 then find the value of x.

Accepted Answer

Calculate simple interest for both schemes: (x * 15 * 2)/100 + ((x+500) * 12 * 2)/100 = 4224. Simplify the equation to 30x + 24x + 12000 = 422400. Solve for x: 54x = 410400, so x = 7600.

Question 2

The perimeter of the semi-circular garden is equal to the perimeter of the rectangular field whose length and breadth is x m and (x – 12) m, respectively.  If the area of the rectangle field is 1260 m2. Then, find the cost of fencing of the semi-circular garden at the rate of Rs. 15 per m?

Accepted Answer

First, find x from the rectangle's area (x * (x-12) = 1260). Then calculate the rectangle's perimeter. This equals the semicircle's perimeter (πr + 2r). Find r, then multiply the semicircle's perimeter by Rs. 15.

Question 3

Find the wrong term in the following number series.155, 298, 493, 748,1069, 1470

Accepted Answer

The differences between consecutive terms are 143, 195, 255, 321, 401. The second differences are 52, 60, 66, 80. The pattern should be 52, 60, 68, 76. Thus, 1069 is incorrect; it should be 1070.

Question 4

The length and breadth of a rectangle are in the ratio 3 : 2. If the length is increased by 5 m keeping the breadth same, the new area of rectangle is 2600 m2. What is the perimeter of the original rectangle?

Accepted Answer

Let length be 3x and breadth 2x. New length is 3x+5. New area (3x+5)*2x = 2600. Solving 6x^2 + 10x - 2600 = 0 gives x=20. Original perimeter = 2(3x+2x) = 2(5x) = 10x = 10*20 = 200m.

Question 5

A lent out Rs. 5000 and Rs. 'A' on compound interest for 3 years and 4 years respectively at the rate of interest of 10%. The difference between compound interest is Rs. 2986. Find the value of A.

Accepted Answer

Calculate CI for Rs. 5000 for 3 years at 10%. Then, use the given difference to find CI for 'A' for 4 years. Finally, apply the CI formula to determine the principal 'A'.

Question 6

What should come in place of question Mark ‘?’ in the following number series?300, ?, 148, 221, 441, 1101.5

Accepted Answer

The pattern is (previous number / 2) + 1. So, 300 / 2 + 1 = 151. Then 151 / 2 + 1 = 75.5 + 1 = 76.5. This doesn't match the series. Let's re-examine. The pattern is (previous number * 0.5) - 1. So, 300 * 0.5 - 1 = 150 - 1 = 149. Then 149 * 0.5 - 1 = 74.5 - 1 = 73.5. This also doesn't match. The pattern is (previous number * 0.5) - 1. So, 300 * 0.5 - 1 = 149. Then 149 * 1 - 1 = 148. Then 148 * 1.5 - 1 = 222 - 1 = 221. Then 221 * 2 - 1 = 442 - 1 = 441. Then 441 * 2.5 - 1 = 1102.5 - 1 = 1101.5. The pattern is multiply by 0.5, 1, 1.5, 2, 2.5... and subtract 1.

Question 7

What should come in the place of question mark '?' in the following number series ?123, 187, 219, 235, 243, ?

Accepted Answer

The differences between consecutive terms are 64, 32, 16, 8. This is a geometric progression where each term is halved. The next difference should be 4. So, 243 + 4 = 247.

Question 8

In each of the following number series, the wrong number is given, find out that number.119, 138, 195, 290, 432, 594

Accepted Answer

The differences between consecutive terms are 19, 57, 95, 142, 162. The pattern of differences should be 19, 57, 95, 133, 171 (adding 38 each time). Thus, 432 is incorrect; it should be 423.

Question 9

What should come in place of question Mark ‘?’ in the following number series?25, ?, 256, 476, 745, 1050

Accepted Answer

Calculate the differences between consecutive terms: 220, 269, 305. The second differences are 49, 36. This suggests the second differences are decreasing squares (7^2, 6^2). The next second difference should be 5^2=25. So, the first difference before 220 is 220-49=171. The missing term is 25+75=100.

Question 10

What should come in the place of question mark '?' in the following number series ?13, 13, 14, 18, 45, 61, ?

Accepted Answer

The pattern is: add (previous difference * 2) + 1. Differences are 0, 1, 4, 27, 16. The next difference is 125 (5^3). So, 61 + 125 = 186.

Question 11

Two typists of varying skill can do a job in 18 minutes if they work together. If the first typist alone typed for 9 minutes and then the second typist alone typed for 18 minutes, they would be left with 1/3rdof the entire work. How many minutes would it take for the faster typist to complete the typing job working alone?

Accepted Answer

Let their rates be 1/A and 1/B. From the given conditions, form two equations: 1/A + 1/B = 1/18 and 9/A + 18/B = 2/3. Solve these simultaneous equations to find A and B, then identify the faster typist.

Question 12

What should come in place of question Mark ‘?’ in the following number series?68, ?, 407, 470, 496, 503

Accepted Answer

The differences between consecutive terms are 63, 26, 7. This suggests a pattern of cubes minus 1 (4^3-1=63, 3^3-1=26, 2^3-1=7). The missing difference is 5^3-1=124. So, 407 - 124 = 283.

Question 13

The ratio of the perimeter of the square field to the perimeter of the rectangular field is 8: 11. If the length of the rectangular field is 30 m and the area of the rectangular field is 750 m2, then, find the cost of fencing the square field at the rate of Rs. 20 per m?

Accepted Answer

First, find the breadth of the rectangle (750/30 = 25m). Calculate the perimeter of the rectangle (2*(30+25) = 110m). Use the ratio to find the perimeter of the square (8/11 * 110 = 80m). Finally, multiply by the cost per meter (80 * 20 = Rs. 1600).

Question 14

What should come in place of the question mark '?' in the following number series?10, 18, 34, ?, 130, 258

Accepted Answer

The pattern is (previous number * 2) - 2. So, 10*2-2=18, 18*2-2=34. Thus, 34*2-2 = 68-2 = 66. The next term is 66.

Question 15

In a class of N students, 59% students passed in History, 72% students passed in Political Science and 35% students passed in both subjects. If 666 students passed in only Political Science, then, what is the value of N?

Accepted Answer

Students passed only in Political Science = 72% - 35% = 37%. If 37% = 666, then 1% = 18. Total students N = 100% = 18 * 100 = 1800.

Question 16

What should come in place of question Mark ‘?’ in the following number series?54, 67, 50, 63, 46, ?

Accepted Answer

The series alternates between subtracting 4 and adding 13. The pattern is: 54 (+13) = 67, 67 (-17) = 50, 50 (+13) = 63, 63 (-17) = 46. So, 46 + 13 = 59.

Question 17

The length of the train is 180m and the length of platform is 25% more than the length of the train. The train crosses the platform in 32.4 seconds. If the speed of the train is increased by 33.33%, then, find the time taken by train to cross a tunnel of 200 m long?

Accepted Answer

Platform length is 180 * 1.25 = 225m. Total distance = 180 + 225 = 405m. Speed = 405 / 32.4 = 12.5 m/s. New speed = 12.5 * (1 + 1/3) = 12.5 * 4/3 = 50/3 m/s. Time to cross tunnel = (180 + 200) / (50/3) = 380 * 3 / 50 = 22.8 seconds.

Question 18

What should come in place of the question mark ‘?’ in the following number series?144, 164, 194, 234, 284, ?

Accepted Answer

The differences between consecutive terms are 20, 30, 40, 50. The next difference should be 60. So, 284 + 60 = 344.

Question 19

Directions (Qs 42-46): The given table below show the number of students (males + females) participated exam and percentage of students out of total failed and number of males failed in exam in five different colleges.
Colleges
Number of students (Male + female)participated in exam
Ratio between number of males to females participated in exam
Percentage of students (male + female) failed out of total participated
Number of males failed
out of total males participated
A
1100
7: 4
30%
210
B
900
2: 1
40%
240
C
1400
4: 3
50%
500
D
1400
17: 11
45%
255
E
1600
9: 7
60%
450
Number of students participated = Number of students failed + Number of students passed

Number of males who passed exam in college A is 3/7 are scored in distinction and 3/5 of the females who passed exam in college A are scored in distinction, then find the total number of students in college A passed in distinction.

Accepted Answer

Calculate 3/7 of male distinction (441 * 3/7 = 189) and 3/5 of female distinction (315 * 3/5 = 189). Sum these values (189 + 189 = 378) to get the total distinction students.

Question 20

What should come in place of question Mark ‘?’ in the following number series?60, ?, 63.6, 70.8, 99.6, 243.6

Accepted Answer

The differences between consecutive terms are 1.2, 7.2, 28.8, 144. The pattern is multiplying by 6. So, the first difference is 1.2 (60 + 1.2 = 61.2).