Quantitative Aptitude: Data Interpretation Questions Set 145

Directions (1-5): Study the following information carefully and answer the questions that follow:
There are three garments A, B and C sold shirt and pants in January 2019.
Number of shirt sold in garment C is 28 less than the number of pants sold in garment B. Number of shirt sold in garment B is 240, which is 20% more than the number of pants sold in the same garment.
Total number of items sold in garment A is 50% of the total number of items sold in garment B. Number of pants sold in garment A is half of the number of shirt sold in garment B.
The ratio of the number of shirt sold in garment A to that of the number of pants sold in garment C is 25: 27.

1. Number of shirt sold in garment A is what percentage more/less than number of pants sold in garment B?
   
   10
   20
   30
   40
   50
   Option E
   Number of shirt sold in garment B = 240
   Number of pants sold in garment B = 240 * (100/120) = 200
   Number of shirt sold in garment C = 200 – 28 = 172
   Total number of items sold in garment B = 240 + 200 = 440
   Total number of items sold in garment A = 440 * 50/100 = 220
   Number of pants sold in garment A = ½ * 240 = 120
   Number of shirt sold in garment A = 220 – 120 = 100
   Number of pants sold in garment C = 100 * (27/25) = 108
   Required percentage = (200 – 100)/200 * 100
   = 100/200 * 100 = 50% less
   

    

2. What is the ratio of the total number of pants sold in all the garments together to that of the total number of items sold in garment C?
   117: 27
   117: 70
   113: 70
   117: 10
   17: 70
   Option B
   Required ratio = (120 + 240 + 108): 280
   = 468: 280
   = 117: 70
   

    

3. What is the difference between the total number of items sold in garment A to that of C?
   50
   60
   70
   80
   90
   Option B
   Required diff = 280 – 220 = 60

    

4. If garment D sold number of pants is 20% more than that of garment A and the ratio of the number of pants sold in garment D to that of shirt is 2: 3. What is the total number of items sold in garment D?
   340
   300
   240
   360
   120
   Option D
   Number of pants sold in garment D = 120 * (120/100) = 144
   Number of shirt sold in garment D = 144 * (3/2) = 216
   Required total = 144 + 216 = 360
   

    

5. If 20% of the shirt sold in garment B is defective, find the number of non – defective shirt sold in garment B?
   132
   223
   256
   190
   192
   Option E
   Required number of shirt = 240 * 80/100 = 192

    

Directions (6-10): Study the following information carefully and answer the questions that follow:

The pie chart shows the distribution of total number of senior professors in different departments.
Number of senior professors in Department X = 18


6. What is the percentage of number of senior professors in department U?
   15
   25
   35
   45
   55
   Option A
   Required percentage = 54˚/360˚ * 100
   = 15%
   

    

7. Find the total number of junior professors in department T, U and X together?
   80
   70
   60
   90
   100
   Option D
   Required total = (36 + 30 + 24) = 90

    

8. If total number of female professors in department Y is 40 and the number of junior male professors in department Y is 20, then find the total female senior professors in the same department?
   23
   24
   25
   26
   27
   Option B
   Total number of professors = 54 + 36 = 90
   Total number of female professors = 40
   Total number of male professors = 90 – 40 = 50
   Number of senior male professors = 50 – 20 = 30
   Number of senior female professors = 54 – 30 = 24
   

    

9. If the number of senior professors in department S is 25% more than department V and the ratio of senior to junior professors in department S is 3: 4. Number of junior professors in department S is what percent more/less than the number of junior professors in department U?
   100
   120
   130
   140
   110
   Option A
   Number of senior professors in department S = 125/100 * 36 = 45
   Number of junior professors in department S = 45/3 * 4 = 60
   Required percentage = (60 – 30)/30 * 100 = 30/30 * 100 = 100%
   

    

10. Which of the following department has maximum number of professors (Senior + Junior)?
    X
    Y
    T
    U
    V
    Option B
    From department T = 45 + 36 = 81
    From department U = 27 + 30 = 57
    From department V = 36 + 32 = 68
    From Department X = 18 + 24 = 42
    From department Y = 54 + 36 = 90
    Department Y has maximum number of professors.