Data Interpretation: Bank Exam Practice Questions (SBI, IBPS, RRB, PO & Clerk)
Q. 1 A company has five departments. HR has 110 employees, which is a quarter of the total company employees. The Finance department employs 2/11 of the total employees. Sales employs 25% more employees than Finance. The ratio of employees in Housing to Security is 3:7. If 35% of the Sales department employees are female, how many male employees are in the Sales department?
Check Solution
Ans: E
Explanation: 1. Calculate the total number of employees: HR (110 employees) represents 1/4 of the total, so the total employees are 110 * 4 = 440.
2. Calculate the number of Finance employees: Finance employs (2/11) * 440 = 80 employees.
3. Calculate the number of Sales employees: Sales employs 25% more than Finance. 25% of 80 is 0.25 * 80 = 20. Therefore, Sales employs 80 + 20 = 100 employees.
4. Calculate the number of female employees in Sales: 35% of Sales employees are female, so there are 0.35 * 100 = 35 female employees.
5. Calculate the number of male employees in Sales: Total Sales employees – female employees = male employees. Thus, 100 – 35 = 65 male employees.
Correct Option: E
Q. 2 A game show gives prizes. A certain number of people get consolation prizes, each worth 10% of the winner’s prize. The total value of all consolation prizes equals the winner’s prize. If the ratio of males to females is 4:7, find the number of female participants.
Check Solution
Ans: C
Explanation: Let ‘x’ be the winner’s prize value. The consolation prizes are worth 10% of x, which is 0.1x. The total value of all consolation prizes equals the winner’s prize, which is x. Let ‘n’ be the number of consolation prizes. Then, n * 0.1x = x. Dividing both sides by 0.1x, we get n = 10. There are 10 people who get consolation prizes. The winner doesn’t get a consolation prize. Thus, the total number of participants is 10 + 1 = 11.
The ratio of males to females is 4:7. This means that for every 4 male participants, there are 7 female participants. The total number of ratio parts is 4+7 = 11 parts. Therefore, the number of female participants is (7/11) * 11 = 7.
Correct Option: C
Q. 3 In an election with 1600 total votes and four candidates (A, B, C, and D), where A won, we have the following information: A received 345 male votes, B received 120 female votes, C received 80 votes less than A’s total and has a 3:1 male-to-female vote ratio, and D received 450 votes (250 male). Also, the number of female votes for B is 40% of the number of male votes for C. Find the difference between the male and female votes received by candidate B.
Check Solution
Ans: D
Explanation:
1. **Find A’s total votes:** We know D received 450 votes, and the total votes are 1600. Also, B got 120 female votes, but the total is not given, so we cannot make conclusions at the moment. Total votes for the other candidates is the total minus A’s total votes, which is 1600- (A) = (B+C+D). The question states A won, thus we need to calculate A’s total and will use this info: A received 345 male votes.
2. **Find C’s total votes:** C received 80 votes less than A’s total. Let A’s total votes be ‘x’. Then C’s votes = x – 80.
3. **Find D’s Female Votes:** D received 450 total votes, and 250 were male. Therefore, D’s female votes = 450 – 250 = 200.
4. **B’s total votes:** We know B received 120 female votes. Let B’s male votes be ‘y’.
5. **Solve for C’s Votes:** C’s male to female ratio is 3:1. Let C’s male votes be 3z and C’s female votes be z. So, C’s total votes are 4z. Also, We know the number of female votes for B is 40% of the number of male votes for C. Then, 120 = 0.4 * (3z). Solving for z: 120 = 1.2z, so z = 100. Thus, C has 3*100 = 300 male votes and 100 female votes, meaning C has a total of 400 votes.
6. **Solve for A’s Votes:** Since A has 345 male votes, and the information is complete, then this will be used to solve for A’s votes and using the total votes, calculate B’s and B’s male to female ratio. Let A’s female votes be a. A’s total votes are 345+a. Since C is 80 votes less than A. A’s votes are equal to C + 80. so A is 400 + 80 = 480.
So, A’s female votes are 480-345 = 135
7. **Solve for B’s Votes**
A + B + C + D = 1600.
480 + B + 400 + 450 = 1600.
B + 1330 = 1600
B = 270
8. **Solve for B’s Male Votes**
We know B received 120 female votes, and B’s total votes is 270. Therefore B’s Male Votes = 270 – 120 = 150
9. **Calculate the difference**: 150 (male votes) – 120 (female votes) = 30.
Correct Option: D
Q. 4 The ratio of boys to girls in a school is 7:6. The total number of students in the school is 650. The number of students who play cricket is 300, and the number of girls who play cricket is 100. Find the difference between the number of boys and the number of girls who do not play cricket.
Check Solution
Ans: C
Explanation:
1. **Find the number of boys and girls:**
* The ratio is 7:6, so the total ratio parts are 7 + 6 = 13.
* Number of boys = (7/13) * 650 = 350
* Number of girls = (6/13) * 650 = 300
2. **Find the number of boys who play cricket:**
* Total students playing cricket = 300
* Girls playing cricket = 100
* Boys playing cricket = 300 – 100 = 200
3. **Find the number of boys who do not play cricket:**
* Total boys = 350
* Boys playing cricket = 200
* Boys not playing cricket = 350 – 200 = 150
4. **Find the number of girls who do not play cricket:**
* Total girls = 300
* Girls playing cricket = 100
* Girls not playing cricket = 300 – 100 = 200
5. **Find the difference:**
* Difference = |(Boys not playing cricket) – (Girls not playing cricket)| = |150 – 200| = |-50| = 50
Q. 5 The table below shows the performance of three sales representatives at a company. It indicates the number of sales leads they contacted, the number of successful sales, and the number of leads that were deemed unsuccessful. | Representative | Leads Contacted | Successful Sales | Unsuccessful Leads | |—|—|—|—| | Alice | 350 | 80 | x | | Bob | 420 | 120 | 200 | | Carol | y | 60 | 140 | If Alice had 250 unsuccessful leads, and the total number of leads contacted by Carol is twice the number of leads that were deemed unsuccessful by Bob. Find the value of y.
Check Solution
Ans: D
Explanation: First, let’s find the unsuccessful leads for Alice. We are given that Alice has 250 unsuccessful leads, so x = 250.
Next, let’s determine the total number of leads contacted by Bob. This is given as 420.
Now, we calculate the unsuccessful leads for Bob, which is given as 200.
Then we determine the total number of leads contacted by Carol. This is twice the number of unsuccessful leads of Bob which is 2 * 200 = 400. Therefore, y = 400.
Q. 6 Three cars, A, B, and C, travel different distances at varying speeds. * Car A’s distance is 33 1/3% greater than Car B’s distance. * Car B travels at 50 km/hr for 7.5 hours. * Car C travels 400 km at a speed 20% slower than Car B. How long does it take Car C to travel 400 km?
Check Solution
Ans: B
Explanation: First, calculate the distance Car B travels: Distance = Speed x Time = 50 km/hr * 7.5 hr = 375 km. Next, calculate Car A’s distance. Car A’s distance is 33 1/3% greater than Car B’s. This is equivalent to 100% + 33 1/3% = 133 1/3% or 4/3. So, Car A’s distance is (4/3) * 375 km = 500 km. Then find Car C’s speed. Car B’s speed is 50 km/hr. Car C’s speed is 20% slower than Car B, so Car C’s speed = 50 km/hr – 0.20 * 50 km/hr = 50 km/hr – 10 km/hr = 40 km/hr. Finally, calculate the time it takes Car C to travel 400 km. Time = Distance / Speed = 400 km / 40 km/hr = 10 hours.
Correct Option: B
Q. 7 Three shops (A, B, and C) have a total of 2160 paper and fabric bags. Shop A has 25% more bags than Shop B, and the ratio of paper to fabric bags in A is 4:5. Shop C’s total bags are 25% less than Shop B’s. In Shop B, there are 30 fewer paper bags than fabric bags. The ratio of paper to fabric bags in C is 3:2. Calculate the sum of the average number of paper and fabric bags in shop A and shop B.
Check Solution
Ans: B
Explanation:Let the number of bags in Shop B be ‘x’.
Shop A has 25% more bags than Shop B, so A has 1.25x bags.
Shop C’s bags are 25% less than B’s, so C has 0.75x bags.
Total bags = A + B + C = 1.25x + x + 0.75x = 2160
3x = 2160
x = 720
So, B has 720 bags.
A has 1.25 * 720 = 900 bags.
C has 0.75 * 720 = 540 bags.
In Shop B, let the number of paper bags be ‘y’. Fabric bags = y + 30.
y + (y + 30) = 720
2y + 30 = 720
2y = 690
y = 345 (paper bags in B)
Fabric bags in B = 345 + 30 = 375
In Shop A, the ratio of paper:fabric is 4:5. Total parts = 4+5 = 9.
Paper bags in A = (4/9) * 900 = 400
Fabric bags in A = (5/9) * 900 = 500
Average number of paper and fabric bags in shop A = (400 + 500) / 2 = 450
Average number of paper and fabric bags in shop B = (345 + 375) / 2 = 360
Sum of the average number of paper and fabric bags in shop A and shop B = 450 + 360 = 810
Correct Option: B
Next Chapter: Data Sufficiency
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