BANK & INSURANCE (DATA INTERPRETATION) PART 4

Total Questions: 150

31. Directions [31-34]: Study the following information carefully and answer the questions given below:

In a committee of musicians, there are total 800 musicians. Each musician can play one or more among the three instruments viz. Piano, Violin and Harmonium. 65% of the musicians can play Violin. 30% of the musicians can play Harmonium but not Violin. 25% of the musicians can play Piano but not Violin. 12% of the musicians can play all the three instruments. 37% of the musicians can play Violin and Harmonium both. 8% of the musicians can play only Violin.

Ques : Find the number of musicians who can play only one of the given three instruments.

Correct Answer: (a) 184 
Solution:

a + b + c + d + e + f + g = 800 ........ (i)
b + e + f + g = 65/100 × 800 = 520 ........ (ii)
c + d = 30/100 × 800 = 240 ........ (iii)

From (i), (ii) and (iii)
a + 240 + 520 = 800
=> a = 800 - 760
=> a = 40

a + d = 25/100 × 800 = 200
=> 40 + d = 200
=> d = 200 - 40 = 160

From (iii)
c + 160 = 240
=> c = 240 - 160
=> c = 80

g = 12/100 × 800 = 96

f + g = 37/100 × 800
=> f + 96 = 296
=> f = 296 - 96 = 200

b = 8/100 × 800 = 64

From (ii)
64 + e + 200 + 96 = 520
=> e = 520 - 360
=> e = 160

Required number of musicians = 40 + 64 + 80 = 184

32. Find the respective ratio of the number of musicians who can play both Violin and Harmonium and number of musicians who can play Piano and Harmonium both but not Violin

Correct Answer: (c) 37:20 
Solution:

Number of musicians who can play both Violin and Harmonium = 96 + 200 = 296

Number of musicians who can play Piano and Harmonium both but not Violin = 160

Required ratio = 296 : 160 = 37 : 20

33. Find the number of musicians who can play Harmonium but not Piano.

Correct Answer: (b) 280 
Solution:

Required number of musicians = 80 + 200 = 280

34. Number of musicians who can play Piano and Violin both is what percent of the number of musicians who can play only Harmonium?

Correct Answer: (d) 320% 
Solution:Number of musicians who can play Piano and Violin both = 160 + 96 = 256
Number of musicians who can play only Harmonium = 80
Required percentage = 256/80 × 100 = 320%

35. Directions [35-39]:

Directions [35-39]: There are two marts - X-mart and Y-mart in the same area. Number of people visited X-mart on Monday is 20% less than number of people visited Y-mart on Monday, which is 275. Number of people visited Y-mart on Thursday is same as the number of people visited X-mart on Monday. Ratio between the number of peoples visited X-mart and Y-mart on Tuesday is 3 : 5 and number of people visited Y-mart on Wednesday and number of people visited X-mart on Wednesday is 20% more and 10 less than the number of people visited X-mart on Tuesday respectively. Number of people visited X-mart on Thursday is twice the number of people visited Y-mart on Thursday. Number of people visited Y-mart on Wednesday is 8 less than the number of people visited X-mart on Thursday.

Ques : The ratio between the number of people visited X-mart and Y-mart together on Tuesday and the number of people visited X-mart and Y-mart together on Thursday is:

Correct Answer: (e) 16:11
Solution:

Number of people visited X mart on Monday = 275 × 80/100 = 220

Number of people visited Y mart on Thursday = 220

Number of people visited X mart on Thursday = 2 × 220 = 440

Number of people visited Y mart on Wednesday = 440 - 8 = 432

Number of people visited X mart on Tuesday = 432 × 100/120 = 360

Number of people visited Y mart on Tuesday = 360 × 5/3 = 600

Number of people visited X mart on Wednesday = 360 - 10 = 350

Day | X mart | Y mart | Total
Monday → 220 | 275 | 495
Tuesday → 360 | 600 | 960
Wednesday → 350 | 432 | 782
Thursday → 440 | 220 | 660
Total → 1370 | 1527 | 2897

Required ratio 960:660 = 16:11

36. Find the difference between the total number of people visited X mart and that of Y mart on all four days together.

Correct Answer: (b) 157 
Solution:Required difference = 1527 - 1370 = 157

37. The ratio between the number of females and males visited Y mart on Wednesday is 5:3. Find the difference between number of males and females visited on Wednesday

Correct Answer: (b) 108 
Solution:Ratio = 5 : 3
ATQ
8 units = 432 people
1 unit = 54 people
2 units = 108 people
Required difference = 108

38. Number of people visited Y mart on Wednesday is what percent the number of people visited Y mart on Tuesday?

Correct Answer: (b) 67% 
Solution:

Day | X mart | Y mart | Total
Monday → 220 | 275 | 495
Tuesday → 360 | 600 | 960
Wednesday → 350 | 432 | 782
Thursday → 440 | 220 | 660
Total → 1370 | 1527 | 2897

Required percentage = 432 × 100/600 = 72%

39. Total number of people visited both marts on Friday is 60% more than that of on Thursday and ratio between the number of people visited X mart and Y mart is 9 : 7. Find the number of people visited X mart and Y mart respectively on Friday

Correct Answer: (c) 594, 462 
Solution:

Total number of people visited both marts on Friday = 660 × 160/100 = 1056

Number of people visited X mart on Friday = 1056 × 9/16 = 594

Number of people visited Y mart on Friday = 1056 - 594 = 462

40. Directions [40-44]: Read the data carefully and answer the following questions.

Total number of items (laptops + televisions + coolers) sold by shopkeepers A and B together is 700. The ratio of the number of laptops to the number of coolers sold by shopkeeper A is 2:3. The number of laptops sold by shopkeeper B is 20 more than the number of coolers sold by shopkeeper A. The ratio of the number of coolers sold by shopkeeper A to the number of televisions sold by shopkeeper B is 2:3. Shopkeeper B sold 80 coolers and the total number of items sold by him is 400.

Ques : Find the ratio of the total items sold by shopkeeper A to the number of televisions sold by shopkeeper B.

Correct Answer: (b) 5:3 
Solution:

Let the number of laptops and number of coolers sold by shopkeeper A be 4t and 6t respectively.

Number of laptops sold by shopkeeper B = 6t + 20

Number of televisions sold by shopkeeper B = (3/2) × 6t = 9t

Number of coolers sold by shopkeeper B = 80 (given)

ATQ, (6t + 20) + 9t + 80 = 400
=> 15t + 100 = 400
=> 15t = 300
=> t = (300/15) = 20 ........(1)

Let the number of televisions sold by shopkeeper A be ‘y’

Total number of items sold by shopkeeper A = 700 - 400 = 300

ATQ, 4t + 6t + y = 300
=> 10t + y = 300 ........(2)

Putting the value of t from equation (1) to (2), we get:
=> 200 + y = 300
=> y = 100

Shopkeeper | Number of laptops sold | Number of televisions sold | Number of coolers sold | Total items sold
A → 80 | 100 | 120 | 300
B → 140 | 180 | 80 | 400

Total items sold by shopkeeper A = 80 + 100 + 120 = 300
Total items sold by shopkeeper B = 140 + 180 + 80 = 400

Total items sold by shopkeeper A = 300
Number of televisions sold by shopkeeper B = 180
Hence, required ratio = 300:180 = 5:3