5 Marks Questions

Question 15 Marks

What least number must be subtracted from $13601$ to get a number exactly divisible by $87?$

Answer

First, we will divide $13601$ by $87.$

Remainder $= 29$ So, $29$ must be subtracted from $13601$ to get a number exactly divisible by $87.$ i.e.,$ 13601 - 29 = 13572$ Now, we have:

$\therefore 29$ must be subtracted from $13601$ to make it divisible by $87.$

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Question 25 Marks

What least number must be added to $1056$ to get a number exactly divisible by $23?$

Answer

First, we will divide $1056$ by $23.$

Required number $= 23 - 21 = 2$ So, $2$ must be added to $1056$ to make it exactly divisible by $23.$ i.e., $1056 + 2 = 1058$ Now, we have:

$\therefore 1058$ is exactly divisible by $23.$

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Question 35 Marks

What least number must be subtracted from $13801$ to get a number exactly divisible by $87?$

Answer

We have to find the least number that must be subtracted from $13801$ to get a number exactly divisible by $87.$
So, first we will divide $13801$ by $87$

Remainder $= 55$
The number $55$ should be subtracted from $13801$ to get a number divisible by $87.$
i.e., $13801 - 55 = 13746$

$\therefore 13746 $ is divisible by $87.$

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Question 45 Marks

Match the following columns on whole numbers:

S.No.	Column A	S.No.	Column B
$(a)$	$137 + 63 = 63 + 137$	$(i)$	Associativity of multiplication
$(b)$	$(16 \times 25)$ is a number	$(ii)$	Commutativity of multiplication
$(c)$	$365 \times 18 = 18 \times 365$	$(iii)$	Distributive law of multiplication over addition.
$(d)$	$(d) (86 \times 14) \times 25 = 86 \times (14 \times 25)$	$(iv)$	Commutativity of addition
$(e)$	$23 \times (80 + 5) = (23 \times 80) + (23 \times 5)$	$(v)$	Closure property for multiplication

Answer

S.No.	Column A	S.No.	Column B
$(a)$	$137 + 63 = 63 + 137$	$(iv)$	Commutativity of addition
$(b)$	$(16 \times 25)$ is a number	$(v)$	Closure property for multiplication
$(c)$	$365 \times 18 = 18 \times 365$	$(ii)$	Commutativity of multiplication
$(d)$	$(86 \times 14) \times 25 = 86 \times (14 \times 25)$	$(i)$	Associativity of multiplication
$(e)$	$23 \times (80 + 5) = (23 \times 80) + (23 \times 5)$	$(iii)$	Distributive law of multiplication over addition

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Maths 5 Marks Questions

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