Data Interpretation Questions

Multiple choice
  1. 24.76

  2. 30

  3. 15.75

  4. 20

  5. 28

Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Candidates for post III in Company E = 760. Total candidates in Company E = 720 + 825 + 760 + 765 = 3070. Percentage = (760 / 3070) * 100 = 24.755%. Approximately 24.76%.

Multiple choice
  1. Company E has the maximum number of working days in the year 2004 as compared to the other companies.

  2. The average number of working days of company B over the given years is 306.

  3. The ratio of the non-working days of company A to the non-working days of company E for the year 2002 is 55 : 58.

  4. The difference between the number of working days of company B and that of company D in the year 2004 is 18.

  5. The ratio of the number of working days of company A to the number of working days of company C in the year 2002 is 77 : 78.

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Check option B: Company B working days: 296, 300, 311, 310, 309, 310. Sum = 1836. Average = 1836 / 6 = 306. This is correct.

Multiple choice
  1. 30

  2. 37.5

  3. 25

  4. 40

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let CP of 1 table = x. Then CP of 15 tables = 15x, which equals SP of 20 tables. So SP of 1 table = 15x/20 = 3x/4. Loss per table = CP - SP = x - 3x/4 = x/4. Loss percent = (Loss/CP) × 100 = (x/4)/x × 100 = 25%. The key insight is that equalizing CP and SP across different quantities creates a gap between individual CP and SP.

Multiple choice
  1. 18

  2. 6

  3. 8

  4. 12

  5. None of these

Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Total eggs = 7 + 5 = 12. Shared equally among 3 people means each gets 12/3 = 4 eggs worth. Seller 1 (7 eggs) gives away 7 - 4 = 3 eggs worth. Seller 2 (5 eggs) gives away 5 - 4 = 1 egg worth. Total payment of Rs.24 should be split in ratio 3:1. Seller 1 gets (3/4) × 24 = Rs.18. Seller 2 gets (1/4) × 24 = Rs.6. Difference = 18 - 6 = Rs.12, which matches option D.

Multiple choice
  1. $90$%
  2. $75$%
  3. $65$%
  4. $50$%
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

The total number of technicians is 60. The number of technicians who worked 6 to 10 years is 18, and those who worked more than 10 years is 12. The total number of technicians with 6 or more years is 18 + 12 = 30. The probability is 30/60 = 0.5, or 50%.

Multiple choice
  1. 3

  2. 5

  3. 7

  4. 10

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Scores: 80 (10), 75 (5), 70 (5), 60 (2), 55 (2), 20 (1). Total students = 25. Median is the 13th value. The 13th value is 75 (since 10 students have 80, and the next 5 have 75). Mode is the most frequent score, which is 80. Difference = 80 - 75 = 5.

Multiple choice
  1. $x=9, y=13$
  2. $x=12, y=15$
  3. $x=9, y=18$
  4. $x=18, y=19$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The total frequency is 100, so 5 + 12 + x + 26 + y + 18 + 12 = 100, which simplifies to x + y = 27. Using the median formula for grouped data with median 49.23 (which falls in the 40-50 class), one can solve for x and y; x=9 and y=18 satisfy both the total sum and the median calculation.

Multiple choice
  1. $13$
  2. $11$
  3. $10$
  4. $8$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The total percentage is 100%. The angle of a sector is (percentage / 100) * 360 degrees. Given the angle for saving is 36 degrees, we have (x / 100) * 360 = 36. Solving for x gives x = 10.

Multiple choice
  1. $M_1$
  2. $M_2$
  3. $M_3$
  4. None

Reveal answer Fill a bubble to check yourself
B Correct answer
Multiple choice
  1. $4:3$
  2. $3:2$
  3. $1:2$
  4. $2:3$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

People with X = (Having X and Y) + (Having X but not Y) = 10 + 30 = 40. People with Y = (Having X and Y) + (Having Y but not X) = 10 + 20 = 30. Ratio X:Y = 40:30 = 4:3.