Olympiad Test : Playing With Numbers - 1 - Class 6 MCQ

# Olympiad Test : Playing With Numbers - 1 - Class 6 MCQ

Test Description

## 10 Questions MCQ Test Maths Olympiad Class 6 - Olympiad Test : Playing With Numbers - 1

Olympiad Test : Playing With Numbers - 1 for Class 6 2024 is part of Maths Olympiad Class 6 preparation. The Olympiad Test : Playing With Numbers - 1 questions and answers have been prepared according to the Class 6 exam syllabus.The Olympiad Test : Playing With Numbers - 1 MCQs are made for Class 6 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Olympiad Test : Playing With Numbers - 1 below.
Olympiad Test : Playing With Numbers - 1 - Question 1

### The HCF of two numbers is 16 and their product is 3072. What is the LCM?

Detailed Solution for Olympiad Test : Playing With Numbers - 1 - Question 1

HCF × LCM = product of numbers.

Olympiad Test : Playing With Numbers - 1 - Question 2

### Which of the following numbers is divisible by 3?

Detailed Solution for Olympiad Test : Playing With Numbers - 1 - Question 2

2 + 4 + 3 + 5 + 7 + 8 + 0 + 6 = 35
3 + 3 + 3 + 3 + 6  + 4 + 3 + 3 = 28
3 + 5 + 7 + 6 + 9 + 8 + 1 + 2 = 41
8 + 3 + 4 + 7 + 9 + 5 + 6 + 0 = 42
Since 42 is divisible by 3 then (d) is divisible by 3.

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Olympiad Test : Playing With Numbers - 1 - Question 3

### Which of the following is a prime number?

Detailed Solution for Olympiad Test : Playing With Numbers - 1 - Question 3

117, 171 are divisible by 3.
169 is divisible by 13.
179 is a prime number.

Olympiad Test : Playing With Numbers - 1 - Question 4

Which of the following is not a twin prime?

Detailed Solution for Olympiad Test : Playing With Numbers - 1 - Question 4

(23, 31) is not a twin prime.
twin prime is a prime number that is either 2 less or 2 more than another prime number—for example, either member of the twin prime pair (17, 19) or (41, 43).

Olympiad Test : Playing With Numbers - 1 - Question 5

Find the greatest number which divides 126, 150 and 210 leaving remainder 6 in each case.

Detailed Solution for Olympiad Test : Playing With Numbers - 1 - Question 5

HCF of 120 and 144 = 12
HCF of 120 and 204 = 12
Required number = HCF of 120, 144, 204 = 12

Olympiad Test : Playing With Numbers - 1 - Question 6

Find the largest number that will divide 76, 113 and 186 leaving remainder 4, 5, 6 respectively.

Detailed Solution for Olympiad Test : Playing With Numbers - 1 - Question 6

HCF of 72 and 108 = 36
HCF of 108 and 180 = 36
∴ required number = 36

Olympiad Test : Playing With Numbers - 1 - Question 7

Find the smallest number which when divided by 16, 36 & 40 leaves a remainder 7 in each case.

Detailed Solution for Olympiad Test : Playing With Numbers - 1 - Question 7

LCM of 16, 36 and 40 is

∴ LCM = 2 × 2 × 2 × 2 × 9 × 5
= 16 × 45 = 720
∴ required number = (720+7) = 727

Olympiad Test : Playing With Numbers - 1 - Question 8

Which greatest number of 4 digits is exactly divisible by 12, 16, 28 & 36?

Detailed Solution for Olympiad Test : Playing With Numbers - 1 - Question 8

The greatest 4 digit number = 9999. Here,

LCM of 12, 16, 28 and 36
= 2 × 2 × 2 × 3 × 2 × 7 × 3
= 4 × 9 × 4 × 7
= 16 × 9 × 7
= 1008
∴ 9072 is a multiple of 1008.
∴  it is the greatest number of 4 digits which is divisible by 12, 16, 28 & 36.

Olympiad Test : Playing With Numbers - 1 - Question 9

The HCF of two numbers is 23 and their LCM is 1449. If one of the numbers is 161 what is the other?

Detailed Solution for Olympiad Test : Playing With Numbers - 1 - Question 9

LCM × HCF = one number × second number

Olympiad Test : Playing With Numbers - 1 - Question 10

Find the smallest number which when divided by 3 is divisible by 21, 28, 36 and 45?

Detailed Solution for Olympiad Test : Playing With Numbers - 1 - Question 10

LCM of 21, 28, 36 and 45 is

∴ LCM of 21, 28, 36 and 45
= 3 × 2 × 3 × 2 × 7 × 5
= 36 × 35
= 1260
∴ Required number = 1260 + 3 = 1263

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