Averages: Combining Two Sections and a Make-Up Test Quiz — 5 Free Questions

📖 Read the passage, then answer the questions below

At Green Valley School, a mathematics test was conducted for two sections of Class 10 -- Section A and Section B -- each with exactly 50 students. The average marks scored by Section A on this test was 70, while the average marks scored by Section B was 80.

Separately, five students from across both sections who were absent on the day of the original test were allowed to take a make-up test a week later. Their individual scores on the make-up test were 50, 55, 52, 58, and 55 marks respectively, out of the same total as the original test.

The school's examination office is now preparing a combined report covering all 105 students -- the 50 from Section A, the 50 from Section B, and the 5 who took the make-up test -- in order to calculate an overall class average for the mathematics test across the entire batch.

Question 1

What is the total number of students in Section A and Section B combined?

Question 2

What is the lowest score among the five make-up test students?

Question 3

Consider the following three statements: I. Section B's average marks is higher than Section A's. II. The combined average of all 105 students is 74. III. The average of the five make-up test scores is 55. Which of the statements is/are true?

Question 4

What is the difference between the highest and lowest make-up test scores?

Question 5

What percentage of the total 105 students belong to Section A? (nearest whole number)

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About Averages: Combining Two Sections and a Make-Up Test

CLAT's Quantitative Techniques section pairs a short data-rich scenario with several straightforward numeric questions -- here, averages applied to a single invented school-test scenario, so every answer can be worked out from the figures given, without any outside knowledge.

This quiz is built around one test result: two class sections with their own average marks, plus five students who took a separate make-up test, all fully worked out up front. Every question below is answered using those same figures -- nothing new is introduced question to question.

The twenty-four questions move through the kind of angles CLAT actually tests: individual and combined averages, total marks, differences and ratios between groups, a "what if" recalculation, and a multi-statement combination question.

Only five of the twenty-four questions are shown on any single attempt, so replaying this quiz brings a genuinely different mix of angles on the same test results rather than the same five memorised by rote.