SBI PO Math & Reasoning Case Based Study Questions With Solution PDF.

Are you looking for Math case-based study questions for SBI PO exams in 2025? If so, then Mathac.com is providing Math and Reasoning Case Base Study Questions with Solution PDF to boost your practices for SBI PO Prelims and Mains examinations in 2025. This case-based study is very important to analyze your preparation and help you identify your weak points so that you can improve them before the upcoming examinations in 2025.

Benefit of Solving the Case based study of Math & Reasoning for SBI PO Prelims & Mains 2025.

It is very important to solve case-based study Math questions to prepare for the SBI PO exams in 2025. These questions help you to remember formulas and concepts, and to understand how to apply them to different cases.

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It help to get real experience of Math Case Based Study Questions.
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To build your confidence during or before examination for healthy results.

Case Based Study 1 Math(Ratio & Percentage) Questions for SBI PO Prelims.

The line graph given below shows total number of people (male + female) visited four different parks (A, B, C and D) and table shows fraction of male out of total people visited these four parks. Read the data carefully and answer the questions below.

Parks	Fraction
A	$\frac{2}{3}$
B	$\frac{5}{8}$
C	$\frac{4}{7}$
D	$\frac{3}{4}$

Q1. If total number of females visited park E are 75% of total number of males visited park A & C together and total number of males visited park E are 25% more than total females visited park C, then find total people visited park E.
(a) 200
(b) 140
(c) 160
(d) 120
(e) 180

Q2. The ratio local and outside people visited park B is 7 : 1 respectively, while the ratio of total local and outside females visited park B is 5 : 1 respectively. Find the ratio of outside to local males visited park B.
(a) 1 : 5
(b) 3 : 7
(c) 1 : 7
(d) 1 : 9
(e) 1 : 8

Q3. Find the difference between average number of females visited park A, C & D and total number of males visited park B.
(a) 30
(b) 40
(c) 60
(d) 70
(e) 80

Q4. If there is discount of 20% on each ticket for females as compare to male and total revenue received by park D from all the people is ₹2280, then find the price of each ticket for female.
(a) ₹20
(b) ₹25
(c) ₹24
(d) ₹12
(e) ₹30

Q5. If average number of females visited park A, B & F are 60, then find total number of females visited park F are what percent of total number of males visited park A.
(a) 55%
(b) 100%
(c) 80%
(d) 60%
(e) 75%

Q6. Total number of females visited park A and D together is what percent more than total number of females visited park B.
(a) 15%
(b) 10%
(c) 20%
(d) 5%
(e) 25%

Case Based Study 2 Math(Ratio & Percentage) Questions for SBI PO Prelims

The table given below shows the average number of articles (A, B and C) sold by Pesto company in three different months. It also shows the percentage of article A sold by Pesto company out of the total number of articles sold in these months. Table also reflects the total number of article C sold in these months. Read the table carefully and answer the following questions.

Months	Average number of articles sold	Percentage of article A sold	Total number of articles C sold
April	100	40%	100
May	120	30%	70
June	72	25%	80

Q1. In month of July, total number of articles A sold by Pesto are 25% more than the average number of articles B sold in the month of May and June. If the sum of the article B and C sold by Pesto in July are 30% more than the articles B sold by Pesto in April,then find the difference in the number of articles B sold in July to that of in April.
(a) 48
(b) 54
(c) 62
(d) 66
(e) Can’t be determined

Q2. Number of articles C sold in April and June together are what percentage (approx.) of the number of articles A sold in May.
(a) 167%
(b) 178%
(c) 155%
(d) 145%
(e) 120%

Q3. Find the ratio of the sum of the number of articles A and B together sold in May to the difference between the articles B and C sold in April.
(a) 27:2
(b) 25:1
(c) 29:2
(d) 23:4
(e) 22:5

Q4. If the price of each article at which articles A, B and C sold in the month of April are Rs. 10, Rs y and Rs. (y+20) respectively,then the total revenue generated by selling these articles in the month of April is Rs. 4100. Find the value of 3y.
(a) 5
(b) 15
(c) 18
(d) 21
(e) None of these

Q5. Ratio of males to females who purchased total articles (A, B and C) in June is 3:1 and the ratio of male to females who purchased articles A in June is 1:2. If only 10 females purchased articles C in June, then find the number of males purchased articles B. (Note: All the articles are purchased from Pesto)
(a) 50
(b) 54
(c) 62
(d) 74
(e) 72

Case Based Study 3 Math(Ratio & Percentage) Questions for SBI PO Prelims.

The information given about number of project handle by two companies (A and B) in three different years (2015, 2016 and 2017). Read the information carefully and answer the questions given below.
In 2015, Total projects handle by A are 1.5 times of B.
In 2016, Total project handle by B is 9 more than that of in 2015 and A handle 20 projects.
In 2017, total project handle by A is 25% more than that of by B in 2015 and B handle 30 projects.
Total projects handle by A in all three years is 42.

Q1. Find the projects handle by B in 2017 is how much more or less than the projects handle by A in 2016.
(a) 5
(b) 10
(c) 20
(d) 15
(e) 25

Q2. The projects handle by C in 2015 is 50% more than the project handle by A in 2017. Find the ratio between projects handle by B in 2015 to projects handle by C in 2015.
(a) 9:11
(b) 8:15
(c) 5:9
(d) 4:13
(e) 7:17

Q3. The Projects handle by A in 2016 is how much percentage more or less than the projects handle by B in 2015?
(a) 75%
(b) 50%
(c) 200%
(d) 150%
(e) 25%

Q4. Find the total projects handle by B in all three years.
(a) 5
(b) 15
(c) 25
(d) 55
(e) 35

Q5. The ratio of present ages of A to B is 3:4, X years ago the ratio was 5:7 and sum of ages of A and B after X years is 48. Find the present age of B.
(a) 16 years
(b) 24 years
(c) 32 years
(d) None of these.
(e) Can’t be determined

Case Based Study 4 Math(Ratio & Percentage) Questions for SBI PO Prelims.

Given below table shows total three items (refrigerators, AC’s & ovens) sold by four stores. Table also shows percentage of refrigerators sold & total number of AC’s sold by out of total items sold. Read the data carefully and answer following questions:
Note- Each store sold only three types of items.

Stores	Total number of items	% of refrigerator	Number of AC’s sold
A	500	32%	100
B	800	48%	96
C	1200	45%	240
D	1500	56%	300

Q1. Total ovens sold by C & D together is what percent less than total number of refrigerators sold by A & D together?
(a) 16%
(b) 24%
(c) 22%
(d) 26%
(e) 18%

Q2. Find the difference between average number of ovens sold by B & D and total number of refrigerators sold by C.
(a) 260
(b) 240
(c) 250
(d) 150
(e) 200

Q3. If total refrigerators sold by store X is 25% more than refrigerators sold by D and total ovens, sold by store X is 37$\frac{1}{2}$% more than total ovens sold by A, then find total number of refrigerators & ovens sold by store X?
(a) 780
(b) 1480
(c) 1180
(d) 1280
(e) 1380

Q4. Find the ratio of total number of AC’s sold by C & D together to total AC’s & refrigerators sold by B?
(a) 8 : 9
(b) 9 : 8
(c) 9 : 7
(d) 4 : 3
(e) 6 : 5

Q5. Total refrigerators sold by A & C together are what percent more than total ovens sold by C ?
(a) 63$\frac{2}{3}$%
(b) 60$\frac{2}{3}$%
(c) 33$\frac{1}{3}$%
(d) 66$\frac{2}{3}$%
(e) 69$\frac{2}{3}$%

Case Based Study 5 Math(Quadratic) Questions for SBI PO Prelims.

In each of the following questions two equations are given. Solve these equations and give answer:
(a) if 𝑥 ≥ 𝑦, i.e., 𝑥 is greater than or equal to 𝑦
(b) if 𝑥 > 𝑦, i.e., 𝑥 is greater than 𝑦
(c) if 𝑥 ≤ 𝑦, i.e., 𝑥 is less than or equal to 𝑦
(d) if 𝑥 < 𝑦, i.e., 𝑥 is less than 𝑦
(e) 𝑥 = 𝑦 or no relation can be established between 𝑥 and 𝑦

Q1. I. $𝑥^{2} $− 6𝑥 + 8 = 0
II. $𝑦^{2}$ + 8𝑦 + 15 = 0

Q2. I. 𝑥² – 12𝑥 + 32 = 0
II. 𝑦² − 17𝑦 + 72 = 0

Q3. I. 𝑥² − 12𝑥 + 35 = 0
II. 𝑦² − 11𝑦 + 24 = 0

Q4. I. 8𝑥² + 10𝑥 − 7 = 0
II. 𝑦² − 6𝑦 + 8 = 0

Q5. I. 𝑥² + 7𝑥 + 12 = 0
II. 𝑦² + 15𝑦 + 44 = 0

Case Based Study 6 Math(Ratio & Percentage) Questions for SBI PO Prelims.

Read the data carefully and answer the questions.
A store sold ‘X’ number of total three different items (Jackets, Sweaters & Sweatshirts) in two different brands (Adidas & Nike). 40% of total sold items are Jackets and the ratio of total Jackets to total Sweatshirts sold by store is 10:9. The ratio of total Adidas to Nike Sweaters sold by store is 7:5 and 60% of total Jackets sold by store are Adidas brand. There are 40 Nike Sweatshirts sold by store & store sold 170 Nike brand items.

Q1. Find difference between total Adidas and Nike items sold by store?
(a) 160
(b) 120
(c) 180
(d) 260
(e) 140

Q2. Total Adidas Sweaters sold by store are what percent less than total Nike Jackets sold by store?
(a) 8%
(b) 12.5%
(c) 12%
(d) 10%
(e) 17.5%

Q3. Find average number of Adidas brand of items sold by store.
(a) 120
(b) 90
(c) 110
(d) 80
(e) 130

Q4. Find ratio of total Adidas brand of Sweatshirts sold by store to total Nike brand of all three items sold by store?
(a) 17 : 14
(b) 12 : 17
(c) 7 : 17
(d) 13 : 17
(e) 14 : 17

Q5. Total Adidas brand of Sweatshirts are what percent more than total Nike brand Sweaters sold by store?
(a) 160%
(b) 180%
(c) 200%
(d) 140%
(e) 120%

Case Base Study 1 Math(Ratio) Questions for SBI PO Mains.

The scatter graph given below shows total number of three different cookies (Butter, Oatmeal and Sugar) baked by three different bakeries A, B and C on y-axis and percentage of sold cookies out of total backed cookies on x-axis. Read the graph carefully and answer the questions.

Note: ‘a’ is the two-digit number whose unit digit is perfect cube of its tens digit.

Q1. If number of oatmeal sold by A is (2a – 6) and the number of butter cookies sold by A is less than oatmeal which is less than sugar cookies, then find the sum of maximum number of sugar cookies and minimum number of sugar cookies sold by A. (Note: Number of Butter cookies sold by A must be a perfect square)
(a) 186
(b) 188
(c) 185
(d) 196
(e) 176

Q2. If the sum of oatmeal cookies and Butter baked by C is a perfect cube of the one-digit number and the number of Sugar cookies baked by A, B and C are square of two-digit consecutive natural number. A baked least number of Sugar cookies and C baked largest number of cookies, then find the number of oatmeal cookies baked all the bakers, if the ratio of oatmeal to butter cookies baked by A, B and C is in the ratio of 2: 1, 1: 3 and 1: 2 respectively.
(a) 111
(b) 102
(c) 118
(d) 123
(e) 125

Case Based Study 2 Math(Ratio & Percentage) Questions for SBI PO Mains.

There are three classes A, B and C consisting girls and boys. Two teams P and Q are formed. Team P consist of students who plays hockey and team Q who plays football. Each student participated only in one game. The boys in A are x more than the girls. Total girls in B are x and boys are 20 than that of girls. The boys and girls in C are 20% more than that of boys and girls in B respectively. Boys in P is 13 less than that of girls, which is 60% of the combination of girls in two classes (except A and C). Ratio of girls in team P to team Q is 3:4. Boys in P is 50% of the combination of boys of two classes (except A and B).

Q1. 20% girls in class C got injured and 25% of them are in team P, then find the girls who are not injured in team Q.
(a) 111
(b) 112
(c) 110
(d) 113
(e) 115

Q2. Find the average number of girls in both the teams.
(a) 111
(b) 112
(c) 110
(d) 105
(e) 115

Q3. Find the difference between girls and boys in both the teams.
(a) 91
(b) 92
(c) 94
(d) 93
(e) 95

Q4. In team P 30% of girls joined team Q and from team Q 10% of the girls joined team P. Girls in team Q is what percentage of girls in team P.
(a) 180%
(b) 130%
(c) 110%
(d) 125%
(e) 115%

Case Based Study 3 Math(Percentage) Questions for SBI PO Mains.

The bar graph shows the monthly income of Uma, Pallavi and Sonia and line graph shows the percentage of monthly expenditure of these people. Each of them deposits their saving in a bank on which they get awarded with a credit card (silver and platinum) of the bank. In silver credit card – deposit amount is less than Rs 21000, credit limit is sum of half of the salary and 5% of the saving while late payment is 5% of the amount due. In platinum credit card – deposit amount is more than Rs 21000, credit limit is sum of 3/4th of the salary and 25% of the saving while late payment is 3% of the amount due.

Note – (i) Amount payable to bank = cash withdrawn + expense from credit limit + late payment of 5% if applicable.
(ii) Cashback of 5% is given on any transaction except cash withdrawal.
(iii) The payment done in any month should be cleared in the immediate month if not then penalty should be given

Q1. Sonia bought a cycle costing 3/7th of credit limit and has delayed the payment by a month. Find the amount payable to bank (in ₹)?
(a) 8977
(b) 8977.5
(c) None of these
(d) 8525
(e) 8520.5

Q2. Uma bought a gold ring costing 10% of credit limit, spend 15% of credit limit on shopping, withdrew cash of 8000. Find the difference between her savings and the amount payable to the bank.
(a) ₹3095
(b) ₹3010
(c) ₹3015
(d) ₹3025
(e) ₹3020

Q3. Salary of Aayush is 20% more than that of Pallavi and he spend 30% of income. If he spends all his credit limit on shopping, then find the cash back he gets (in ₹).
(a) 1660
(b) 1556
(c) 1665
(d) 1225
(e) 1220

Q4. Find the difference between credit limit of Uma and Pallavi (in ₹).
(a) 49000
(b) 10000
(c) 47150
(d) 47600
(e) None of these

Q5. Pallavi withdrew 10% cash for house rent, 20% on shopping. Find the amount payable by Pallavi to bank (in ₹).
(a) 4660
(b) 4622
(c) 4611
(d) 4625
(e) 4620

Case Based Study 4 Math(Ratio & Percentage) Questions For SBI PO Mains.

Q1. 20% girls in class C got injured and 25% of them are in team P, then find the girls who are not injured in team Q.
(a) 111
(b) 112
(c) 110
(d) 113
(e) 115

Q2. Find the average number of girls in both the teams.
(a) 111
(b) 112
(c) 110
(d) 105
(e) 115

Q3. Find the difference between girls and boys in both the teams.
(a) 91
(b) 92
(c) 94
(d) 93
(e) 95

Q4. In team P 30% of girls joined team Q and from team Q 10% of the girls joined team P. Girls in team Q is what percentage of girls in team P.
(a) 180%
(b) 130%
(c) 110%
(d) 125%
(e) 115%

Case Based Study 5 Math(Time & Linear Equations) Questions For SBI PO Mains.

Data given below about two trains A and B. Read the data carefully and answer the questions.
Train A: Train A starts from station X and after travelling 60km train reduced its speed by 25% and train reached station Y at 10 A.M.
Train B: Train B starts from station X at same time when train A starts and after travelling 90km it reduced its speed by 25% and train B reached station Y at 9: 45 A.M.
If both trains travelled with their original speed, then they will reach station Y at 8.30 A.M.

Q1. Find the distance between station X and Y?
(a) 215km
(b) 240km
(c) 250km
(d) 210km
(e) 235km

Q2. If speed of train C is 200% more than original speed of train A, then find time taken by train C to cover distance between station X to Y?
(a) 2hrs
(b) 2.5hrs
(c) 5hrs
(d) 1hrs
(e) 1.5hrs

Q3. Find the sum of time taken by train A and train B to cover distance between station X & Y, if both trains cover total distance at original speed.
(a) 12.5hrs
(b) 11hrs
(c) 10hrs
(d) 12hrs
(e) 9hrs