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Numerical: Data Interpretation MCQ - Practice Questions with Answers

Solve 15 Numerical: Data Interpretation questions for RAS/RPSC preparation.

Practice questions

Q1In a survey of 180 people, 72 people preferred tea. Assertion: The percentage of people who preferred tea was 40%. Reason: Percentage share is calculated as part ÷ total × 100. Choose the correct option.

A Both the assertion and the reason are true, and the reason correctly explains the assertion.
B Both the assertion and the reason are true, but the reason does not explain the assertion.
C The assertion is true, but the reason is false.
D The assertion is false, but the reason is true.
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.

Q2In a coaching library, the number of books issued on Monday, Tuesday, Wednesday and Thursday was 45, 60, 75 and 90 respectively. Which statement is correct?

A The average number of books issued per day was 67.5.
B The average number of books issued per day was 65.
C The total number of books issued was 255.
D Thursday had 15 fewer issued books than Wednesday.
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.

Q3A shop recorded the sale of notebooks over four days: Monday 120, Tuesday 150, Wednesday 135, and Thursday 165. Which of the following statements is correct?

A The average sale per day was 142.5 notebooks.
B The average sale per day was 150 notebooks.
C The total sale over four days was 540 notebooks.
D Wednesday's sale was 30 notebooks more than Monday's sale.
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.

Q4The table shows the number of candidates selected from four districts in a CET practice drive: Jaipur 120, Jodhpur 90, Kota 60 and Ajmer 30. What percentage of the total selected candidates came from Jaipur?

A 40%
B 30%
C 50%
D 25%
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%.

Q5A fruit seller sold 40 apples, 60 bananas, and 50 oranges in one morning. Match each fruit with its percentage share in the total sale: Apples, Bananas, Oranges.

A Apples - 26 2/3%, Bananas - 40%, Oranges - 33 1/3%
B Apples - 40%, Bananas - 26 2/3%, Oranges - 33 1/3%
C Apples - 25%, Bananas - 40%, Oranges - 35%
D Apples - 33 1/3%, Bananas - 40%, Oranges - 26 2/3%
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%.

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More questions

6A stationery shop sold 80 pencils, 120 pens and 100 notebooks in one day. Consider the following statements: 1. Pens sold were 50% more than pencils. 2. Notebooks sold were 25% less than pens. 3. The total number of items sold was 300. Which statements are correct?

A1 and 3 only
B1 and 2 only
C2 and 3 only
D1, 2 and 3

7A village health camp recorded 80 visitors on Day 1, 96 on Day 2 and 120 on Day 3. Which statement is correct?

AVisitors increased by 20% from Day 1 to Day 2.
BVisitors increased by 25% from Day 1 to Day 2.
CVisitors increased by 20% from Day 2 to Day 3.
DThe total number of visitors over three days was 286.

8A small factory produced 40 units in January, 50 units in February and 60 units in March. Match each month with its share in the total production.

AJanuary-26.67%, February-33.33%, March-40%
BJanuary-33.33%, February-26.67%, March-40%
CJanuary-33.33%, February-41.67%, March-50%
DJanuary-25%, February-35%, March-40%

9The number of books sold by a shop from Monday to Friday was 45, 60, 55, 70 and 50 respectively. What was the average number of books sold per day?

A56
B57.5
C55
D70

10A small unit produced 80 chairs in January, 95 in February, 85 in March, and 100 in April. Which of the following statements is incorrect?

AThe total production in the four months was 360 chairs.
BFebruary's production was 15 chairs more than January's production.
CApril's production was 5 chairs more than February's production.
DMarch's production was 20 chairs less than April's production.

11In a pie chart, the monthly household expense of ₹36,000 is divided into Rent, Food, Transport and Savings. Rent is 30% and Food is 25% of the total expense. What is the central angle for Food?

A90°
B108°
C75°
D72°

12In a survey of 180 students, the numbers choosing three revision methods were: video lectures 72, notes 54 and mock tests 36. Match each method with its percentage of the total students.

AVideo lectures - 40%, Notes - 30%, Mock tests - 20%
BVideo lectures - 30%, Notes - 40%, Mock tests - 20%
CVideo lectures - 40%, Notes - 20%, Mock tests - 30%
DVideo lectures - 45%, Notes - 30%, Mock tests - 20%

13The table shows the number of students enrolled in three courses at a coaching centre. Mathematics: 120, Reasoning: 150 and English: 90. What percentage of the total students are enrolled in Reasoning?

A41.67%
B55.56%
C50%
D42.86%

14A family spent ₹24000 in a month. The spending shares were: food 35%, rent 25%, education 20%, transport 10% and savings 10%. Which statement is incorrect?

AFood spending was ₹8400.
BRent spending was ₹6000.
CEducation spending was ₹4200.
DTransport spending was ₹2400.

15The table shows the number of students enrolled in three coaching batches. Batch A has 48 boys and 36 girls, Batch B has 42 boys and 30 girls, and Batch C has 55 boys and 45 girls. What is the total number of students in all three batches together?

A256
B190
C211
D246

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