Quantitative Aptitude

Data Interpretation

290 Questions
All Percentage & Fraction Conversion 77 Sum, Difference & Average 76 Ratio Comparison 37 Pie Chart Angle Mapping 33 Missing Data Derivation 27 Commercial Arithmetic Application 19 Direct Value Extraction 10 Trend & Growth Analysis 9 Compound DI Cross-Referencing 1 Permutations & Arrangements 1

Data Interpretation Questions

Multiple choice

Directions: Study the given data table and answer the following question. Number of Employees Annual salary (in Rs. lakh) Bonus as percentage of annual salary Manager 3 54 60% Executive 5 8 30% Trainee 5 4 10% What is the average bonus (in rupees)?

  1. Rs. 8,55,385

  2. Rs. 11,20,005

  3. Rs. 2,20,000

  4. Rs. 3,52,000
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Total employees = 3+5+5 = 13. Bonus for Managers = 3 * (0.6 * 54) = 3 * 32.4 = 97.2 lakh. Bonus for Executives = 5 * (0.3 * 8) = 5 * 2.4 = 12 lakh. Bonus for Trainees = 5 * (0.1 * 4) = 5 * 0.4 = 2 lakh. Total bonus = 97.2 + 12 + 2 = 111.2 lakh. Average bonus = 111.2 / 13 = 8.553846... lakh = 8,55,385.

Multiple choice

Please answer the following question based on the data given in the following table and the notes below. Table: Survey Results of Various Modes of Travel Mode Walk Bus Car Cycle Number 55 35 18 72 Notes: A. 1 in 8 of the people who cycled to work were found to be over 65 years of age. B. 1 in 3 of the cyclists stated that they travelled to work by bus on rainy days. If this data is represented in a pie chart, then how many degrees of arc in the pie chart represent each response in the survey results?

  1. 4

  2. 8

  3. 6

  4. 2
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Total people = 55 + 35 + 18 + 72 = 180. Degrees per person = 360 / 180 = 2 degrees per person.

Multiple choice

Directions: The following table represents the number of scooters and mopeds produced (in thousands). 1995 1996 1997 1998 1999 2000 2001 Scooters 185 242 169 126 96 148 176 Mopeds 146 182 254 188 112 162 242 The ratio of the number of scooters to that of mopeds is maximum in

  1. 1996

  2. 1995

  3. 1998

  4. 1997
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Ratios (Scooters/Mopeds): 1995: 185/146 = 1.26; 1996: 242/182 = 1.33; 1997: 169/254 = 0.66; 1998: 126/188 = 0.67; 1999: 96/112 = 0.85; 2000: 148/162 = 0.91; 2001: 176/242 = 0.72. The maximum is 1.33 in 1996.

Multiple choice

400 male and 300 female employees were surveyed in a company about their priorities. Their priorities are presented in the table below. What is the percentage of males and females whose priority is job? Priorities Males Females Job 150 110 Family 195 185 Friends 55 5 Total 400 300

  1. 20.42%

  2. 20.75%

  3. 37.14%

  4. 25.42%
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Total employees = 400 + 300 = 700. Total who prioritize job = 150 + 110 = 260. Percentage = (260 / 700) * 100 = 37.14%.

Multiple choice

Red Blue Yellow Total Quality 1 10 20 25 55 Quality 2 20 10 15 45 Total 30 30 40 100 A factory manufactured 100 plywood sheets in one day, in three colors and two qualities as given in the above table. What is the ratio of number of red plywood sheets manufactured to that of the number of yellow plywood sheets manufactured?

  1. 1 : 15

  2. 3 : 4

  3. 11 : 9

  4. 4 : 3
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

From the table, the total number of red plywood sheets manufactured is 30, and the total number of yellow plywood sheets manufactured is 40. The ratio of red to yellow sheets is therefore 30 : 40, which simplifies to 3 : 4.

Multiple choice

Consider the following table in respect of students of 4 schools who appeared in a test: School Number of students Average marks in the test I 60 60 II 50 80 III 50 40 IV x 50 If the average marks of the students of all four schools are 58, then how many students appeared from School-IV?

  1. 38

  2. 40

  3. 42

  4. 44
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Total students = 60 + 50 + 50 + x = 160 + x. Total marks = (60*60) + (50*80) + (50*40) + (x*50) = 3600 + 4000 + 2000 + 50x = 9600 + 50x. Average = (9600 + 50x) / (160 + x) = 58. 9600 + 50x = 9280 + 58x. 320 = 8x, so x = 40.

Multiple choice

Directions: The table below shows the percentage of students and the ratio of boys and girls in different colleges. Total students = 1,800 College % students Boys : Girls A 20 4 : 5 B 18 1 : 2 C 14 4 : 3 D 22 6 : 5 E 10 2 : 3 F 16 9 : 7 What is the ratio of boys and girls in colleges A and B taken together?

  1. 45 : 71

  2. 37 : 52

  3. 43 : 67

  4. 67 :104
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

College A: 20% of 1800 = 360. Boys:Girls = 4:5 (4/9 * 360 = 160 boys, 200 girls). College B: 18% of 1800 = 324. Boys:Girls = 1:2 (1/3 * 324 = 108 boys, 216 girls). Total boys = 268, total girls = 416. Ratio = 268/416 = 67/104.

Multiple choice

The following table shows the marks (in percentages) obtained by six students in four different subjects in an examination. Maximum marks in each subject are 100. Student SUBJECT SST PHYSICS CHEMISTRY MATHS A 92 90 90 80 B 90 80 85 85 C 80 80 65 70 D 85 80 82 75 E 80 75 75 85 F 90 90 90 85 Answer the following question based on the table: What is the number of students whose overall percentage obtained is 80% and above?

  1. 4

  2. 5

  3. 2

  4. 3
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Calculate the average percentage for each student: A=(92+90+90+80)/4=88, B=(90+80+85+85)/4=85, C=(80+80+65+70)/4=73.75, D=(85+80+82+75)/4=80.5, E=(80+75+75+85)/4=78.75, F=(90+90+90+85)/4=88.75. Students A, B, D, and F have 80% or above.

Multiple choice

The Table shows the number of articles sold by six different sellers (A, B, C, D, E and F) to two different shopkeepers P and Q. Some articles are purchased by other sellers also. Total articles purchased by shopkeepers P and Q are 300 and 500, respectively. Seller P Q A 45 56 B 53 49 C 28 44 D 38 38 E 35 65 F 55 60 What is the average number of articles sold to shopkeeper P by the sellers A, B, C and D together?

  1. 42

  2. 41

  3. 44

  4. 43
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The number of articles sold to P by A, B, C, and D are 45, 53, 28, and 38 respectively. The sum is 45 + 53 + 28 + 38 = 164. The average is 164 / 4 = 41.

Multiple choice

Study the given table and answer the question that follows. The daily wages of 50 employees of a company is shown in the table. Daily Wages Interval Frequency (No. of Employees) 80-90 9 90-100 3 100-110 31 110-120 5 120-130 2 Select the correct statement from the following options.

  1. The average wage of the employees lie between 80-90.

  2. The average wage of the employees lie between 110-120.

  3. The average wage of the employees lie between 100-110.

  4. The average wage of the employees lie between 90-100.
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Calculate the weighted mean: (85*9 + 95*3 + 105*31 + 115*5 + 125*2) / 50 = (765 + 285 + 3255 + 575 + 250) / 50 = 5130 / 50 = 102.6. This value falls in the 100-110 interval.

Multiple choice

Number of Vehicles Number of Families 0 3 1 2x 2 5 3 6 4 6 The above table shows the number of vehicles, families have. If the average number of vehicles is 2, how many families are there?

  1. 48

  2. 46

  3. 32

  4. 28
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Average = (Sum of (vehicles * families)) / Total families. Sum = 0*3 + 1*2x + 2*5 + 3*6 + 4*6 = 0 + 2x + 10 + 18 + 24 = 2x + 52. Total families = 3 + 2x + 5 + 6 + 6 = 2x + 20. Average = (2x + 52) / (2x + 20) = 2. 2x + 52 = 4x + 40. 2x = 12, x = 6. Total families = 2(6) + 20 = 32.