Mathematics and Science MCQs

Mohit and Shubham are playing a game where they need to find pairs of numbers that have no common factors other than 1. Which of the following is an example of a pair of co-prime numbers that they can use in their game?

• (14, 21)

• (16, 28)

• (15, 28)

• (18, 24)

Shubham and Mox are organizing a charity event where they need to distribute 96 and 404 gift bags respectively. They want to find out the largest number of equal-sized groups they can create with these gift bags. What is the HCF of 96 and 404?

• 4

• 2

• 8

• 12

Mox and Shubham are working on a math project. They discover that the product of two numbers they are analyzing is equal to the product of their HCF and (a)   .

Mox is trying to determine if the length of the diagonal of a square garden with side length 1 meter is a rational number. He calculates it to be √2 meters. Is Mox correct in saying that √2 is a rational number?

• True

• False

Mox and Shubham are two friends who have different sets of marbles. If the HCF of the number of marbles they each have is 1, then Mox and Shubham are:

• Prime numbers

• Co-prime

• Equal

• Divisible

Mox is measuring the length of a piece of ribbon for a craft project. He finds that the length can be expressed as a decimal. He wonders about the nature of decimal expansions of rational numbers. What can he conclude about the decimal expansion of a rational number?

• Terminating or non-repeating

• Non-terminating and repeating

• Terminating or repeating

• Non-repeating and non-terminating

Dhruv is at a math competition where he encounters a question about numbers. The question states that every irrational number is a real number. Is this statement true or false?

• True

• False

Yug is measuring the length of a side of a square garden. He finds that the length is approximately equal to √5 meters. What can we say about the value of √5?

• Rational

• Irrational

• Integer

• Natural

Mox and Shubham are working on a project that involves organizing their supplies. They find that the least common multiple (LCM) of the quantities of two types of supplies they have is 180, and the highest common factor (HCF) is 6. If Mox has 30 units of one type of supply, how many units of the other type does Shubham have?

(a)  

Dhruv has a collection of apples. He counts them and realizes that the total number of apples is an integer. He wonders if every integer can be considered a rational number.

• True

• False