Caselet DI Questions For RBI Grade B Exam

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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.

  1. 5:1
  2. 3:2
  3. 3:3
  4. 3:4
  5. 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. 

  1. 1525
  2. 1005
  3. 1235
  4. 1155
  5. None of these

3. Find the average number of males who purchased cars in 2011, 2012, 2013 and 2014, together. 

  1. 1360
  2. 1210
  3. 1180
  4. 1510
  5. 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.

  1. 220
  2. 330
  3. 360
  4. 250
  5. 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?

  1. 25:21
  2. 30:31
  3. 10:11
  4. 17:13
  5. None of these

6. What is the difference between the total number of teachers in school P and S?

  1. 150
  2. 120
  3. 110
  4. 130
  5. None of these

7. Find the average number of male teachers in school P and R together.

  1. 204
  2. 220
  3. 218
  4. 212
  5. 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?

  1. 10%
  2. 12%
  3. 15%
  4. 20%
  5. 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.

  1. 400
  2. 420
  3. 430
  4. 450
  5. 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

  1. 4:3
  2. 4:1
  3. 4:5
  4. 5:4
  5. 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

SCHOOLNumber of male teachersNumber of female teachersTotal number of teachers
P250150400
Q150180330
R186210396
S130120250

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,

ShopkeepersNumber of vivo phones soldNumber of oppo phones soldNumber of samsung phones sold
Ashish1200300 
Amit480 420
Ram 6001680

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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