Teachoo MCQ Test

Picture-based MCQ Quiz

Preparing for CBSE

Chapter 6 Class 11 Permutations and Combinations | 5 questions

Timed test. Answer every question before time runs out. Correct answers and solutions appear after submission.
Time remaining 480
Question 1 of 5
Advertisement
Question 1 of 5
Consider the combination lock shown below. It has 3 wheels.
A74
To open the lock, the sequence must follow these constraints: The first wheel must be a vowel (A, E, I, O, U). The second wheel must be a prime digit (2, 3, 5, 7). The third wheel must be an even digit (0, 2, 4, 6, 8). How many maximum attempts are needed to guarantee unlocking the lock?
Select one option. Answers are shown after the test.
Question 2 of 5
Consider the grid shown below. A person wants to travel from point A (0,0) to point B (4,3) by only moving Right or Up along the grid lines. How many such paths exist?
AB
Select one option. Answers are shown after the test.
Question 3 of 5

A traveller goes from City A to City B by first taking one of 4 buses to a junction and then one of 3 trains to City B. On the return journey, the traveller must use a different bus and a different train from those used while going. How many complete round trips are possible?

Two-stage route from City A to City BThere are four bus choices from City A to the junction and three train choices from the junction to City B.City AJunctionCity B4 buses3 trainsOn return, the bus and train used earlier cannot be reused.

Select one option. Answers are shown after the test.
Question 4 of 5

Five men and four women are to sit in a row of nine seats. The women must occupy the even-numbered positions. How many arrangements are possible?

Nine seats in a rowEven-numbered positions 2, 4, 6 and 8 are marked for women.123456789Women must occupy the shaded even-numbered positions.

Select one option. Answers are shown after the test.
Question 5 of 5

A suitcase has a 4-wheel number lock using the digits 0 to 9. The correct code has no repeated digit. The first digit is known to be 7, as shown below. How many possible settings remain to be checked?

Four-wheel number lockThe first wheel is fixed at 7 and the other three wheels are unknown.7???

Select one option. Answers are shown after the test.