Numerical: Data Interpretation MCQ — 15 Practice Questions with Answers

Explanation

Use the percentage formula given in the reason: percentage share = part ÷ total × 100. Here, the part is 72 people and the total is 180 people. So, percentage = 72 ÷ 180 × 100. Since 72/180 = 2/5 = 0.4, the percentage is 0.4 × 100 = 40%. Thus, the assertion is true. The reason states the same formula that proves the assertion, so it correctly explains it. Therefore, option A is correct.

Explanation

Add the four daily figures first: 45 + 60 + 75 + 90 = 270. The average is total number of books issued ÷ number of days. Here, average = 270 ÷ 4 = 67.5. So statement A is correct. Statement B uses an incomplete total, statement C gives a wrong total, and statement D reverses the comparison because Thursday's 90 is greater than Wednesday's 75 by 15. Therefore, the only correct statement is that the average was 67.5 books per day.

Explanation

First add the four daily sales: 120 + 150 + 135 + 165 = 570 notebooks. The average sale per day is total sale divided by the number of days. So, average = 570 ÷ 4 = 142.5 notebooks. The total is not 540, and Wednesday's sale exceeds Monday's by 135 − 120 = 15, not 30. Therefore, the only correct statement is that the average sale per day was 142.5 notebooks.

Explanation

First find the total number of selected candidates. Total = 120 + 90 + 60 + 30 = 300. The percentage from Jaipur is calculated as Jaipur candidates ÷ total candidates × 100. Therefore, percentage = 120 ÷ 300 × 100 = 0.4 × 100 = 40%. The question asks for Jaipur's share in the whole group, so the denominator must be the total of all four districts, not any single district or partial total. Hence the correct answer is 40%.

Explanation

First find the total fruit sale: 40 + 60 + 50 = 150 fruits. Percentage share = item count ÷ total count × 100. Apples = 40 ÷ 150 × 100 = 26 2/3%. Bananas = 60 ÷ 150 × 100 = 40%. Oranges = 50 ÷ 150 × 100 = 33 1/3%. These three percentages add to 100%, so the matching is complete. Therefore, the correct matching is Apples - 26 2/3%, Bananas - 40%, Oranges - 33 1/3%.