Caselet DI Questions For RBI Grade B Exam: Attention, students! The Reserve Bank of India (RBI) Grade B exam is on the way, and it holds immense importance for individuals preparing to join prestigious Indian financial institutions. The quantitative aptitude section, commonly referred to as “quants,” is a crucial part of this exam that tests candidates’ numerical and analytical skills.
To excel in the RBI Grade B exam, it is vital for aspirants to dedicate ample time and effort to their preparation. And there’s no better way to kickstart your preparation than by availing yourself of the invaluable resources provided by the ixamBee Quants series.
In today’s question, we have chosen to focus on a particularly significant topic within the quantitative aptitude section: Caselet DI. This topic plays a key role in assessing candidates’ ability to analyze and interpret data presented in the form of caselets or passages, allowing them to make informed decisions and solve complex problems efficiently. Mastery of Caselet DI will undoubtedly enhance your chances of success in the RBI Grade B exam. So, let’s dive into this important Caselet DI Questions For RBI Grade B Exam and sharpen our skills together!
Questions
Direction (1-3) Answer the questions based on the information given below.
The given data is about number of people (male + female) who purchased cars in five different years. The number of people who purchased cars in 2010 is (a + 800) out of which 20% were males. The number of people who purchased cars till 2011 and the number of people who purchased cars till 2012 is ‘33b’ and ‘49b’, respectively.
Out of total number of people who purchased cars in 2012, 9.375% were males. The difference between number of males and females who purchased cars in 2012 is 2600. Ratio of number of males who purchased cars in 2011 and 2012 is 6:1, respectively.
Out of total number of people who purchased cars till 2012, 30% are males. Number of people who purchased cars till 2014 is (a + 52.5b) out of which 40% are males. Number of females who purchased car in 2013 is 240 more than number of females who purchased car in 2014.
1. Find the ratio of number of males who purchased cars in 2011 to the number of females who purchased cars in 2014.
- 5:1
- 3:2
- 3:3
- 3:4
- 5:3
2. Out of total number of females who purchased cars in 2012 and 2013, together 25% purchased BMW’s cars. Find the number of females who purchased BMW’s cars in 2012 and 2013, together.
- 1525
- 1005
- 1235
- 1155
- None of these
3. Find the average number of males who purchased cars in 2011, 2012, 2013 and 2014, together.
- 1360
- 1210
- 1180
- 1510
- None of these
Direction (4-8) Answer the following questions based on the information given below:
Ratio of number of male teachers to female teachers in school P is 5:3. Number of male teachers and female teachers in school Q is 40% less and 20% more respectively than the same in school P and total number of female teachers in school Q is 180.
Total number of teachers in school R is 20% more than the total number of teachers in school Q. Ratio of number of male teachers in school P to the number of female teachers in school R is 25:21.
Number of male teachers in school S is 56 less than the number of male teachers in school R and the number of female teachers in school S is 30 less than the number of male teachers in school Q.
4. Find the total number of teachers in school S.
- 220
- 330
- 360
- 250
- None of these
5. What is the ratio of the number of female teachers in school Q to the number of male teachers in school R?
- 25:21
- 30:31
- 10:11
- 17:13
- None of these
6. What is the difference between the total number of teachers in school P and S?
- 150
- 120
- 110
- 130
- None of these
7. Find the average number of male teachers in school P and R together.
- 204
- 220
- 218
- 212
- None of these
8. Number of male teachers in school Q is how much percent more/less than the number of female teachers in school S?
- 10%
- 12%
- 15%
- 20%
- 25%
Directions (9-10) Answer the questions based on the information given below.
Given below is information about number of vivo phones, oppo phones and samsung phones sold by three shopkeepers namely Ashish, Amit and Ram. The ratio of number of vivo phones sold by Ashish and Amit is 5:2, respectively. The number of samsung phones sold by Ram is 250% more than the number of vivo phones sold by Amit.
The ratio of the number of samsung phones sold by Amit and Ram is 1:4, respectively. Sum of the number of vivo phones and samsung phones sold by Amit is equal to the difference between the number of vivo phones and oppo phones sold by Ashish. Number of oppo phones sold by Ram is twice the number of oppo phones sold by Ashish. Sum of number of vivo phones sold by Amit and the number of oppo phones sold by Ram is 1080.
Note:
a) The number of vivo, oppo and samsung sold by each person is not in fraction.
b) Each person sold vivo, oppo and samsung only in two variants i.e. Gaming and Flagship.
9. If the number of vivo phones (which are of gaming variants) sold by Ashish is equal to the number of oppo phones (which are of flagship variant) sold by him and number of vivo phones (which are of flagship variant) sold by him is five times the number of oppo phones (which are of gaming variant) sold by him, then find the number of oppo phones sold by Amit given the condition that number of oppo phones sold by him is 6 times the number of vivo phones (which are of gaming variant) sold by Ashish.
- 400
- 420
- 430
- 450
- 410
10. If the number of vivo phones sold by Ram is 50% more than that by Amit and 240 vivo phones sold by him (which are of gaming variant), then find the ratio of number of vivo phones sold by Ram (which are of flagship variant) to the number of oppo phones sold by him
- 4:3
- 4:1
- 4:5
- 5:4
- 4:7
Common Solutions (1-3):
According to the question, Number of people who purchased cars in 2010 = (a + 800)
Number of males who purchased cars in 2010 = 0.2(a + 800) = (0.2a + 160)
Number of people who purchased cars till 2011 = 33b
Number of people who purchased cars till 2012 = 49b
Therefore, number of people who purchased cars in 2012 = 49b – 33b = 16b
According to the question,
0.90625 × 16b – 0.09375 × 16b = 2600
Or, 0.8125 × 16b = 2600
Or, 13b = 2600
Or, b = 200
Therefore, number of people who purchased cars in 2012 = 16b = 3200
Number of males who purchased cars in 2012 = 0.09375 × 3200 = 300
Number of females who purchased cars in 2012 = 3200 – 300 = 2900
Number of males who purchased cars in 2011 = 300 × 6 = 1800
Number of males who purchased cars till 2012 = 0.3 × 49b = 2940
Therefore, 0.2a + 160 + 300 + 1800 = 2940
Or, 0.2a = 680
Or, a = 3400
Therefore, number of people who purchased cars in 2010 = a + 800 = 4200
Number of males who purchased cars in 2010 = 0.2 × 4200 = 840
Number of females who purchased cars in 2010 = 4200 – 840 = 3360
Number of people who purchased cars in 2011 = 33b – 4200 = 6600 – 4200 = 2400
Number of males who purchased cars in 2011 = 1800
Number of females who purchased cars in 2011 = 2400 – 1800 = 600
Number of people who purchased cars till 2014 = a + 52.5b = 3400 + 52.5 × 200 = 13900
Number of males who purchased cars till 2014 = 0.4 × 13900 = 5560
Number of females who purchased cars till 2014 = 13900 – 5560 = 8340
Number of females who purchased cars in 2013 = 5.6 × 200 = 1120
Therefore, number of females who purchased cars till 2013 = 1120 + 3360 + 600 + 2900 = 7980
Number of females who purchased cars in 2014 = 8340 – 7980 = 360
Number of males who purchased cars in 2013 = 360 + 120 = 480
Number of people who purchased cars in 2013 = 480 + 1120 = 1600
Therefore, number of people who purchased cars in 2014 = 13900 – (1600 + 4200 + 2400 + 3200)
= 2500
Therefore, number of males who purchased cars in 2014 = 2500 – 360 = 2140
1. Desired ratio = 1800:360 = 5:1
2. Required number of females = 0.25 x (2900 + 1120) = 1005
3. Required average = (1800 + 300 + 480 + 2140)/4 = 1180
Common solution (3-8)
Let the number of male teachers and female teachers in school P be 5x and 3x respectively.
According to question,
=> 1.2 × 3x = 180
=> x = 50
Number of male teachers in school P = 5 × 50 = 250
Number of female teachers in school P = 3 × 50 = 150
Total number of teachers in school P = 250 + 150 = 400
Number of male teachers in school Q = 0.60 × 250 = 150
Total number of teachers in school Q = 150 + 180 = 330
Total number of teachers in school R = 1.20 × 330 = 396
Number of female teachers in school R = (21/25) × 250 = 210
Number of male teachers in school R = 396 – 210 = 186
Number of male teachers in school S = 186 – 56 = 130
Number of female teachers in school S = 150 – 30 = 120
Total number of teachers in school S = 130 + 120 = 250
| SCHOOL | Number of male teachers | Number of female teachers | Total number of teachers |
| P | 250 | 150 | 400 |
| Q | 150 | 180 | 330 |
| R | 186 | 210 | 396 |
| S | 130 | 120 | 250 |
4. Total number of teachers in school S = 250
5. Required ratio = 180:186 = 30:31
6. Required difference = 400 – 250 = 150
7. Required average = (250 + 186)/2 = 436/2 = 218
8. Required % = [(150 – 120)/120] × 100 = 25%
Common solution (9-10)
Let the number of vivo phones sold by Ashish and Amit be ‘5x’ and ‘2x’,respectively
Therefore, number of samsung phones sold by Ram = 3.5 × 2x = 7x
Number of samsung phones sold by Amit = 7x/4 = 1.75x
Sum of number of vivo phones and samsung phones sold by Amit = 2x + 1.75x = 3.75x
Case 1:
Let the number of vivo phones sold by Ashish is more than the number of oppo phones sold by him.
So, 5x – (number of oppo phones sold by Ashish) = 3.75x
Or, number of oppo phones sold by Ashish = 5x – 3.75x = 1.25x
Number of oppo phones sold by Ram = 1.25x × 2 = 2.5x
=> 2.5x + 2x = 1080
=> 4.5x = 1080
=> x = 1080/4.5 = 240 (possible)
Case 2:
Let the number of oppo phones sold by Ashish is more than number of vivo phones sold by him.
So, (number of oppo phones sold by Ashish) – 5x = 3.75x
=> number of oppo phones sold by Ashish = 5x + 3.75x = 8.75x
Number of oppo phones sold by Ram = 8.75x × 2 = 17.5x
=> 17.5x + 2x = 1080
=> 19.5x = 1080
=> x = 1080/19.5 ~ 55.38 (not possible because number of oppo phones/vivo phones/samsung phones sold cannot be in decimals)
Therefore, x = 240
Number of vivo phones sold by Ashish = 5x = 1200
Number of vivo phones sold by Amit = 2x = 480
Number of oppo phones sold by Ashish = 1.25x = 300
Number of samsung phones sold by Amit = 1.75x = 420
Number of oppo phones sold by Ram = 2.5x = 600
Number of samsung phones sold by Ram = 7x = 1680
Therefore,
| Shopkeepers | Number of vivo phones sold | Number of oppo phones sold | Number of samsung phones sold |
| Ashish | 1200 | 300 | |
| Amit | 480 | 420 | |
| Ram | 600 | 1680 |
9. Let the number of vivo phones sold by Ashish (which are of gaming variant) = number of oppo phones sold by him (which are of flagship variant) = y
Therefore, 1200 – y = 5 × (300 – y)
=> 1200 – y = 1500 – 5y
=> 4y = 300
=> y = 75
Therefore, number of oppo sold by Amit = 6 × 75 = 450
10. Number of vivo phones sold by Ram = 1.5 × 480 = 720
Number of vivo phones sold by Ram (which are of flagship variant) = 720 – 240 = 480
Required ratio = 480:600 = 4:5
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Conclusion
Within the vast RBI Grade B syllabus, one important topic stands out: Caselet DI.
make the most of your time, dive into the ixamBee Quants series, and conquer the Caselet DI topic along with the other essential aspects of the RBI Grade B syllabus. With dedication, practice, and the right resources, you can confidently approach the exam and strive for success. Best of luck in your preparations!
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