SBI PO 2021 PYQs

Question 1

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 2

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 3

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 4

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 5

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 6

In factory E, the number of goods sold were 20 more than factory D . Also, in Factory E only three  types of goods viz. Boots, Shirts, Ties were sold. In factory E, the number of boots sold were 20%  more than the number of ties and were23rd of the number of shirts. The number of goods sold by  Factory B were how much percentage more than the number of shirts sold by Factory E?

Accepted Answer

Calculate goods sold in E (D+20). Set up equations for Boots, Shirts, Ties based on given ratios. Find the number of shirts sold in E. Compare Factory B's sales with E's shirts to find the percentage difference.

Question 7

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 8

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.

Question 9

What will come in place of question mark '?' in the following number series?4, 10, 22, 42, 72, 114, ?

Accepted Answer

Calculate the differences between consecutive terms: 6, 12, 20, 30, 42. The second differences are 6, 8, 10, 12. The next second difference is 14, so the next first difference is 42+14=56. Thus, 114+56=170.

Question 10

What should come in place of the question mark '?' in the following number series?510, ?, 210, 160, 135, 122.5

Accepted Answer

The series follows a pattern where each term is obtained by subtracting half of the previous difference. The differences are -250, -100, -50, -25, -12.5. So, 510 - 200 = 310.

Question 11

What was the difference between the number of vacant seats in Bus C and the number of filled seats in Bus D?

Accepted Answer

First, find vacant seats in Bus C and filled seats in Bus D from the data. Then, subtract the smaller value from the larger value to find the difference.

Question 12

In another factory F, the number of goods sold were 20 less than the average of the number of goods produced by factories C, D and E . The number of unsold goods for Factory F were 1 less than 120% of the number of unsold goods for factory E . 60% of the difference between the unsold and sold goods for factory F was less than how many of the 5 factories? Use the data from the previous question.

Accepted Answer

Calculate goods sold and unsold for F. Find the difference and its 60%. Compare this value with the difference between unsold and sold goods for each of the 5 factories (A, B, C, D, E) to count how many are greater.

Question 13

What item is kept in Box P?

Accepted Answer

Without additional context or an image, it's impossible to determine what is in Box P. The question is incomplete as provided.

Question 14

If in a certain code language BEAUTIFUL is coded as MVGJUVBFC, then how PHENOMENON will be coded in the same code language?

Accepted Answer

The pattern is: first letter +1, second -1, third +1, fourth -1, and so on. Applying this alternating +1/-1 pattern to PHENOMENON gives OPOFNPOFIQ.

Question 15

Who among the following likes Pomegranate?

Accepted Answer

To find who likes Pomegranate, directly refer to the provided data or table. Locate 'Pomegranate' and identify the person associated with it, which is D.

Question 16

What is the code for the word "great health"

Accepted Answer

To find the code for 'great health', identify common words and their codes from the given statements. 'great' is coded as 'pox' and 'health' is coded as 'asw'.

Question 17

How many people sit between H and A, when counting from the right of H?

Accepted Answer

Without a specific seating arrangement or diagram, the exact number of people between H and A cannot be determined. Thus, 'More than three' implies an unknown or variable count.

Question 18

Reasoning AbilityIf it is possible to make a meaningful word from the 2nd, 4th, 5th and 9th letters of the word BETRAYING, then which will be the third letter from the right of that word? Mark X if no such word can be formed and mark Y is more than one such word can be formed.

Accepted Answer

The selected letters from BETRAYING are E, R, A, G. These letters can form the word 'GEAR'. The third letter from the right of 'GEAR' is E.

Question 19

How many boxes are kept between the boxes which contains Books and Pencil?

Accepted Answer

To determine the number of boxes between Books and Pencil, analyze the given arrangement. Identify the positions of both boxes and count the items strictly between them.

Question 20

What is the total distance covered by A from the park to the mall?

Accepted Answer

To find the total distance, sum the individual segments: 8m + 6m + 10m = 24m. This is a straightforward addition problem.