BANK & INSURANCE (DATA INTERPRETATION) PART 4

Total Questions: 150

1. Directions [1-5]: Read the data carefully and answer the following questions.

There are 3 classes P, Q and R in a school. Each class has two sections A and B. The ratio of the students in section A to section B is 5:3 for class P and R. For classes Q there are 50% students in section A and the rest in section B. The average of students in class P and R together is 72. The students in class Q are 20 more than the students in class P and the students in class P are 16 less than the students in class R.

Note: Total number of students in each class = Number of students in section A + Number of students in section B

Ques : Find the ratio of total number of students in section A of class Q to that of class R.

Correct Answer: (d) 21:25 
Solution:

Average students in class P and R together = 72
P + R = 72 × 2 = 144 …… (1)

Since, the students in class P is 16 less than the students in R
R - P = 16 …… (2)

On solving equation (1) and equation (2)
R = 80, P = 64

The students in class Q = The students in class P + 20 = 64 + 20 = 84

The students in section A for class P = 64 × 5/8 = 40
The students in section B for class P = 64 × 3/8 = 24

The students in section A for class Q = 84 × 50/100 = 42
The students in section B for class Q = 42

The students in section A for class R = 80 × 5/8 = 50

The students in section B for class R = 80 × 3/8 = 30

Total number of students in section A of class Q = 42
Total number of students in section A of class R = 50
Required ratio = 42:50 = 21:25

2. Total number of students in section B of class P is what percent of total number of students in section B of class R?

Correct Answer: (b) 80% 
Solution:

Total number of students in section B of class P = 24
Total number of students in section B of class R = 30
Required percentage = (24/30) × 100 = 80%

3. If the sum of total number of students in both sections of class Q and class S is 128 then find the difference between total number of students in class P and class S.

Correct Answer: (c) 20 
Solution:

Total number of students in both sections of class Q = 84

Total number of students in both sections of class S
= 128 - 84 = 44

Total number of students in both sections of class P
= 64

Required difference = 64 - 44 = 20

4. What is the average of the total number of students in section A of class P and section B of class R?

Correct Answer: (e) 35
Solution:

Total number of students in section A of class P
= 40

Total number of students in section B of class R
= 30

Required average = (40 + 30)/2 = 35

5. What is the sum of the total number of students in section B of class P, Q and R together?

Correct Answer: (b) 96 
Solution:

Total number of students in section B of class P
= 24

Total number of students in section B of class Q
= 42

Total number of students in section B of class R
= 30

Required sum = 24 + 42 + 30 = 96

6. Directions [6-10]: Study the following information carefully and answer the questions given below it:

In a library, there are 3 shelves (A, B, and C), and each shelf contains books of three different subjects - Maths, English, and Hindi. Total number of books in all three shelves together is 140 and total number of books in C is 40. Total number of books in shelf A are 6 more than that of in shelf B. Number of books of Maths in shelf A, number of books of English in shelf C, and number of books of Hindi in shelf C are equal. Number of books of English in shelf A is 20 and number of books of Maths in shelf A is 25% less than that of English. Number of books of Maths in shelf B and number of books of Hindi in shelf B are 3 less and 5 less than the number of books of Maths in shelf A respectively.

Ques : Find the difference between the number of Hindi books in shelf A and that of in shelf B.

Correct Answer: (b) 8 
Solution:

Total number of books in all three shelves = 140

Total number of books in C = 40

Let total number of books in shelf B = X

Then total number of books in shelf A = X + 6

So, X + X + 6 + 40 = 140
2X = 94
X = 47

So, shelf A contains 53 books and shelf B contains 47 books.

Given, number of books of English in shelf A is 20.

So, number of books of Maths in shelf A = 20 × 75/100 = 15

Therefore, number of books of English in shelf C = 15

And number of books of Hindi in shelf C = 15

Number of books of Maths in shelf C = 40 - (15 + 15) = 10

Now, number of books of Maths in shelf B = 15 - 3 = 12

And number of books of Hindi in shelf B = 15 - 5 = 10

Therefore, number of books of English in Shelf B
= 47 - (12 + 10) = 25

And number of books of Hindi in shelf A = 53 - (15 + 20) = 18

We can summarize all these information in a table as,

Shelf

Maths

English

Hindi

Total

A

15

20

18

53

B

12

25

10

47

C

10

15

15

40

Total

37

60

43

140

Required Difference = 18 - 10 = 8

7. Find the ratio between the number of English books in shelf B and the number of Maths books in shelf C.

Correct Answer: (e) 5:2
Solution:

Required ratio = 25 : 10 = 5 : 2

8. Find the total number of books of Maths in all three shelves together.

Correct Answer: (d) 37 
Solution:Total number of books of Maths in all three shelves together = 37

9. The number of books of Hindi in shelf A is what percent more than the number of books of Maths in shelf A?

Correct Answer: (b) 20% 
Solution:

Required percentage = (18 - 15) × 100/15 = 20%

10. Each book is either published by publication X or publication Y. In shelf A, there are 23 books published by publication X, in shelf B the number of books published by Y are 10% less than the number of books published by Y in shelf A. How many books published by publication X are there in shelf B?

Correct Answer: (b) 20 
Solution:

In shelf A,
Total number of books = 53

Number of books published by publication X = 23

Number of books published by publication Y = 53 - 23 = 30

In shelf B,
Total number of books = 47

Number of books published by publication Y = 30 × 90/100 = 27

Number of books published by publication X = 47 - 27 = 20