# High Level DI PDF and Quiz with Explanation for SBI PO, IBPS PO Mains 2020

Direction : Study the table chart carefully and answer the questions given beside.

There are total of 1000 employees working in four departments in Central secretariat - Patna. Canteen Management of Central secretariat was surveyed for their preference of Indian Food Lover or Chinese Food Lover. The table gives the proportion of Indian Food Lover or Chinese Food Lover in each of the four departments.

 Department Indian Food Lover Chinese Food Lover AYUSH 0.6 Consumer Affairs 0.25 Farmer Welfare Backward communities Development 0.7 Total 0.45

The number of employees surveyed in the four departments are in the ratio 1 : 2 : 3 : 4
Important for :
1
If 10% of Indian food lover in the Consumer Affairs Department are females, then what is the number of male employees in the Consumer Affairs Department who are Indian food lover?
» Explain it
D
Following common explanation we get :

The number of female employees who are Indian Food Lover in the Consumer Affairs department

 = 50 × 10 = 5 100

Number of male employees who are Indian Food Lover in the Consumer Affairs department = (50 – 5) = 45

Hence, option (D) is correct.

Common explanation :

Total number of employees in Central secretariat – Patna = 1000

Number of employees in AYUSH department
 = 1 × 1000 = 100 1 + 2 + 3 + 4

Number of employees in Consumer Affairs department
 = 2 × 1000 = 200 1 + 2 + 3 + 4

Number of employees in Farmer Welfare department
 = 3 × 1000 = 300 1 + 2 + 3 + 4

Number of employees in Backward communities Development department
 = 4 × 1000 = 400 1 + 2 + 3 + 4

The number of INDIAN Food Lover and Chinese Food Lover in the different departments is tabulated below.

 Department Indian Food Lover Chinese Food Lover AYUSH (100 – 60) = 40 (100 × 0.6) = 60 Consumer Affairs (200 × 0.25) = 50 (200 – 50) = 150 Farmer Welfare 450 – (40 + 50 + 120) = 240 550 – (60 + 150 + 280) = 60 Backward communities Development (400 – 280) = 120 (400 × 0.7) = 280 Total (1000 × 0.45) = 450 (1000 – 450) = 550

Table are calculated as per given information like
Number of Chinese Food Lover in AYUSH department = 0.6 × number of employees in AYUSH department = (0.6 × 100) = 60

Number of Indian Food Lover in AYUSH department = (100 – 60) = 40, and so on
2
What is the percentage of the Indian Food Lover in that department which has the highest number of Chinese Food Lover?
» Explain it
A
Following common explanation we get :

The highest number of Chinese Food Lover is in Backward communities Development Department. The percentage of Indian Food Lover in Backward communities Development department
 = 120 × 100 = 26.7% 450

Hence, option (A) is correct.

Common explanation :

Total number of employees in Central secretariat – Patna = 1000

Number of employees in AYUSH department
 = 1 × 1000 = 100 1 + 2 + 3 + 4

Number of employees in Consumer Affairs department
 = 2 × 1000 = 200 1 + 2 + 3 + 4

Number of employees in Farmer Welfare department
 = 3 × 1000 = 300 1 + 2 + 3 + 4

Number of employees in Backward communities Development department
 = 4 × 1000 = 400 1 + 2 + 3 + 4

The number of INDIAN Food Lover and Chinese Food Lover in the different departments is tabulated below.

 Department Indian Food Lover Chinese Food Lover AYUSH (100 – 60) = 40 (100 × 0.6) = 60 Consumer Affairs (200 × 0.25) = 50 (200 – 50) = 150 Farmer Welfare 450 – (40 + 50 + 120) = 240 550 – (60 + 150 + 280) = 60 Backward communities Development (400 – 280) = 120 (400 × 0.7) = 280 Total (1000 × 0.45) = 450 (1000 – 450) = 550

Table are calculated as per given information like
Number of Chinese Food Lover in AYUSH department = 0.6 × number of employees in AYUSH department = (0.6 × 100) = 60

Number of Indian Food Lover in AYUSH department = (100 – 60) = 40, and so on
3
If 5% and 20% of Indian Food Lover of AYUSH Department and Farmer Welfare Department respectively converted into Chinese Food Lover, as well as 20% each of Chinese Food Lover of Backward communities Development Department and Consumer Affairs Department converted into Indian Food Lover then what is the approximate percentage of Indian Food Lover to Chinese Food Lover of the employees?
» Explain it
D
Following common explanation we get :

According to the question,

Number of employees of AYUSH department who has converted into Chinese Food Lover

 = 40 × 5 = 2 100

Number of employees of Farmer Welfare Department who has converted into Chinese Food Lover
 = 240 × 20 = 48 100

Number of employees of Backward communities Development Department who has converted into Indian Food Lover
 = 280 × 20 = 56 100

Number of employees of Consumer Affairs Department who has converted into Indian Food Lover
 = 150 × 20 = 30 100

Number of Indian Food Lover employees = 450 – (2 + 48) + (56 + 30) = 486

Number of Chinese Food Lover employees = 550 – (56 + 30) + (2 + 48) = 514

 Reqd. % = 486 × 100 = 94.55% = 95% (approx) 514

Hence, option (D) is correct.

Common explanation :

Total number of employees in Central secretariat – Patna = 1000

Number of employees in AYUSH department
 = 1 × 1000 = 100 1 + 2 + 3 + 4

Number of employees in Consumer Affairs department
 = 2 × 1000 = 200 1 + 2 + 3 + 4

Number of employees in Farmer Welfare department
 = 3 × 1000 = 300 1 + 2 + 3 + 4

Number of employees in Backward communities Development department
 = 4 × 1000 = 400 1 + 2 + 3 + 4

The number of INDIAN Food Lover and Chinese Food Lover in the different departments is tabulated below.

 Department Indian Food Lover Chinese Food Lover AYUSH (100 – 60) = 40 (100 × 0.6) = 60 Consumer Affairs (200 × 0.25) = 50 (200 – 50) = 150 Farmer Welfare 450 – (40 + 50 + 120) = 240 550 – (60 + 150 + 280) = 60 Backward communities Development (400 – 280) = 120 (400 × 0.7) = 280 Total (1000 × 0.45) = 450 (1000 – 450) = 550

Table are calculated as per given information like
Number of Chinese Food Lover in AYUSH department = 0.6 × number of employees in AYUSH department = (0.6 × 100) = 60

Number of Indian Food Lover in AYUSH department = (100 – 60) = 40, and so on
4
What is the ratio of Indian Food Lover of AYUSH department and Backward communities Development department combined together to the Chinese Food Lover of Consumer Affairs department and Farmer Welfare department combined together?
» Explain it
B
Follwoing common explanation we get :

Number of Indian Food Lover employees of AYUSH department and Backward communities Development department combined together = (40 +120) = 160

Number of Chinese Food Lover employees of Consumer Affairs department and Farmer Welfare department combined  together = (150 + 60) = 210

Required ratio = 160 : 210 = 16 : 21

Hence, option (B) is correct.

Common explanation :

Total number of employees in Central secretariat – Patna = 1000

Number of employees in AYUSH department
 = 1 × 1000 = 100 1 + 2 + 3 + 4

Number of employees in Consumer Affairs department
 = 2 × 1000 = 200 1 + 2 + 3 + 4

Number of employees in Farmer Welfare department
 = 3 × 1000 = 300 1 + 2 + 3 + 4

Number of employees in Backward communities Development department
 = 4 × 1000 = 400 1 + 2 + 3 + 4

The number of INDIAN Food Lover and Chinese Food Lover in the different departments is tabulated below.

 Department Indian Food Lover Chinese Food Lover AYUSH (100 – 60) = 40 (100 × 0.6) = 60 Consumer Affairs (200 × 0.25) = 50 (200 – 50) = 150 Farmer Welfare 450 – (40 + 50 + 120) = 240 550 – (60 + 150 + 280) = 60 Backward communities Development (400 – 280) = 120 (400 × 0.7) = 280 Total (1000 × 0.45) = 450 (1000 – 450) = 550

Table are calculated as per given information like
Number of Chinese Food Lover in AYUSH department = 0.6 × number of employees in AYUSH department = (0.6 × 100) = 60

Number of Indian Food Lover in AYUSH department = (100 – 60) = 40, and so on
5
If 5%, 10%, 15% and 20% of Chinese Food Lover in the Farmer Welfare, AYUSH, Backward communities Development and Consumer Affairs department respectively are females, then what is the approx percentage of male Chinese Food Lover employees to the total Indian Food Lover employees?
» Explain it
E
Following common explanation we get :

Number of female Chinese Food Lover employees in Farmer Welfare department

 = 60 × 5 = 3 100

Number of male Chinese Food Lover employees in Farmer Welfare department = (60 – 3) = 57

Number of female Chinese Food Lover employees in AYUSH department
 = 60 × 10 = 6 100

Number of male Chinese Food Lover employees in AYUSH department = (60 – 6) = 54

Number of female Chinese Food Lover employees in Backward communities Development department
 = 280 × 15 = 42 100

Number of male Chinese Food Lover employees in Backward communities Development department = (280 – 42) = 238

Number of female Chinese Food Lover employees in Consumer Affairs department
 = 150 × 20 = 30 100

Number of male Chinese Food Lover employees in Consumer Affairs department = (150 – 30) = 120

Number of male Chinese Food Lover employees = (57 + 54 + 238 + 120) = 469

The total Indian Food Lover employees = 450
 Required percentage = 469 ×100 = 104% (approx) 450

Hence, option (E) is correct.

Common explanation :

Total number of employees in Central secretariat – Patna = 1000

Number of employees in AYUSH department
 = 1 × 1000 = 100 1 + 2 + 3 + 4

Number of employees in Consumer Affairs department
 = 2 × 1000 = 200 1 + 2 + 3 + 4

Number of employees in Farmer Welfare department
 = 3 × 1000 = 300 1 + 2 + 3 + 4

Number of employees in Backward communities Development department
 = 4 × 1000 = 400 1 + 2 + 3 + 4

The number of INDIAN Food Lover and Chinese Food Lover in the different departments is tabulated below.

 Department Indian Food Lover Chinese Food Lover AYUSH (100 – 60) = 40 (100 × 0.6) = 60 Consumer Affairs (200 × 0.25) = 50 (200 – 50) = 150 Farmer Welfare 450 – (40 + 50 + 120) = 240 550 – (60 + 150 + 280) = 60 Backward communities Development (400 – 280) = 120 (400 × 0.7) = 280 Total (1000 × 0.45) = 450 (1000 – 450) = 550

Table are calculated as per given information like
Number of Chinese Food Lover in AYUSH department = 0.6 × number of employees in AYUSH department = (0.6 × 100) = 60

Number of Indian Food Lover in AYUSH department = (100 – 60) = 40, and so on