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Question 5
Single Choice
When a number is divided by six, it is decreased by 64. What is the number?

Answer 1

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What is the least number which when decreased by 5 is divisible by 36,48,21 and 28?

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Correct option is A)

To find the least number, we need to find the LCM of 36, 48, 21 and 28.

36=2×2×3×3

48=2×2×2×2×3×3

21=3×7

28=2×2×7

Thus the LCM of these numbers is 2

4

×3

2

×7=1008

The LCM of 36, 48, 21 and 28 is 1008.

When 5 is added to 1008, we get 1013.

Hence, 1013 is the least number when decreased by 5 is divisible by 36, 48, 21 and 28.

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Answer 2

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Step-by-step explanation:

We use numbers in everyday life. They are often called digits. Without numbers we cannot count things, date, time, money etc. Sometimes these numbers are used for measurement and sometimes for marking. The properties of numbers allow them to perform arithmetic operations on them. These numbers are expressed in numerical forms as well as in words. For example, 2 is written as two words, 25 is written as twenty-five words, etc. Students can practice writing numbers from 1 to 100 in words to learn more.

In mathematics, there are different types of numbers that we learn.

A number is an arithmetic value used to express a quantity and used in calculations.  A number system is a writing system for representing numbers using numerals or symbols in a logical way. Number system:

• It represents a useful set of numbers
• Provides a standard representation
• We use the digits 0 to 9 to create all other numbers.

According to the question;

Let the number be x

So according to the conditions:

$\frac{x}{6} =x-64$

$x=6x-64(6)\\-5x=-384\\x=76.8$

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