Be My Multiple, I'll be Your Factor Test 4

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Be My Multiple, I'll be Your Factor Test 4

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Weekly Quiz Competition

Question 1
1 / -0

The sum of the first five multiples of $$6$$ is

A
$$90$$

B
$$60$$

C
$$30$$

D
$$120$$

Solution

first five multiple of $$6$$ are
$$6\times 1=6$$
$$6\times 2=12$$
$$6\times 3=18$$
$$6\times 4=24$$
$$6\times 5=30$$
Their sum will be $$6+12+18+24+30=90$$
So correct answer will be option A
Question 2
1 / -0

Find the first four common multiples of the following :
$$8$$ and $$12$$.

A
$$24, 48, 72, 96$$

B
$$24, 36, 48, 56$$

C
$$24, 32, 40, 48$$

D
$$48, 72, 96, 120$$

Solution

Multiples of $$ 8 = 8, 16, 24, 32, .. $$
Multiples of $$ 12 = 12, 24, 36, 48... $$

The first common multiple will be $$ 24 $$

And the next common multiples will be multiples of $$ 24 $$

Hence, first four common multiples of $$ 8, 12 $$ are $$ 24, 48, 72, 96 $$
Question 3
1 / -0

Match the following.
Column I Column II
(i) 49 (p) Multiple of 3
(ii) 25 (q) Multiple of 4
(iii) 16 (r) Multiple of 7
(iv) 39 (s) Multiple of 5
(i) (ii) (iii) (iv)

A
s p r q

B
r s q p

C
s r p q

D
p q r s

Solution

(i) 49 is multiple of 7.
(ii) 25 is multiple of 5.
(ii) 16 is multiple of 4.
(iv) 39 is multiple of 3.
Question 4
1 / -0

Three common multiples of $$18$$ and $$6$$ are:

A
$$18, 6, 9$$

B
$$18, 36, 6$$

C
$$36, 54, 72$$

D
None of the above

Solution

Common multiple means that the number should be divisible by both $$18$$ and $$6$$
So, the required numbers are $$36,$$ $$54$$ and $$72$$.
Hence, the answer is $$36,$$ $$54,$$ $$72$$.
Question 5
1 / -0

The numbers which are multiples of $$2$$ are called ____.

A
odd

B
even

C
prime

D
composite

Solution

The numbers $$2,4,6,8,10$$ are known as even number.
The numbers which are completely divisible by $$2$$ are known as even numbers.
So, the numbers which are multiples of $$2$$ are called even numbers.
Question 6
1 / -0

What is the least common multiple of $$10$$ and $$20$$?

A
$$2$$

B
$$5$$

C
$$10$$

D
$$20$$

E
$$200$$

Solution

$$10=2\times5$$

$$20=2\times 2\times 5$$

Thus,

$$LCM=2\times2 \times 5\\=20$$
Question 7
1 / -0

Find a number which has a multiple of all the numbers from 1 to 10?

A
$$5040$$

B
$$1260$$

C
$$720$$

D
$$1440$$

Solution

Number which has a multiple of all the numbers from $$1$$ to $$10$$ will be multiple of their LCM.
$$LCM (1,2,3,4,5,6,7,8,9,10)= $$
$$1=1$$
$$2=1\times 2$$
$$3=1\times 3$$
$$4=1\times 2\times 2$$
$$5=1\times 5$$
$$6=1\times 2\times 3$$
$$7=1\times 7$$
$$8=1\times 2\times 2\times 2$$
$$9=1\times 3\times 3$$
$$10=1\times 2\times 5$$

$$\therefore \ LCM=1\times 2\times 2\times 2\times 3\times 3\times 5\times 7=2520$$

Amongst the given options, only $$5040$$ is a multiple of $$2520$$.

Hence, $$5040$$ is a multiple of all the numbers from $$1$$ to $$10$$.
Question 8
1 / -0

Represent 18 as product of prime factors

A
$$18=6\times3$$

B
$$18=9\times2$$

C
$$18=3\times3\times2$$

D
$$18=18\times1$$

Solution
Question 9
1 / -0

Identify the terms in the following expression:
$$1+x+{ x }^{ 2 }$$

A
$$1,x,{ x }^{ 2 }$$

B
$$1,-x,{ x }^{ 2 }$$

C
$$1,x,{ -x }^{ 2 }$$

D
$$-1,x,{ x }^{ 2 }$$

Solution
Question 10
1 / -0

Represent 60 as product of prime factors

A
$$60=5\times6\times2$$

B
$$60=5\times3\times2\times2$$

C
$$60=3\times4\times5$$

D
None of these

Solution

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Re-Attempt Weekly Quiz Competition

	Column I		Column II
(i)	49	(p)	Multiple of 3
(ii)	25	(q)	Multiple of 4
(iii)	16	(r)	Multiple of 7
(iv)	39	(s)	Multiple of 5

Be My Multiple, I'll be Your Factor Test 4

Result

Be My Multiple, I'll be Your Factor Test 4

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Rank

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SHARING IS CARING

Question 1

$$90$$

$$60$$

$$30$$

$$120$$

Solution

Question 2

$$24, 48, 72, 96$$

$$24, 36, 48, 56$$

$$24, 32, 40, 48$$

$$48, 72, 96, 120$$

Solution

Question 3

s p r q

r s q p

s r p q

p q r s

Solution

Question 4

$$18, 6, 9$$

$$18, 36, 6$$

$$36, 54, 72$$

None of the above

Solution

Question 5

odd

even

prime

composite

Solution

Question 6

$$2$$

$$5$$

$$10$$

$$20$$

$$200$$

Solution

Question 7

$$5040$$

$$1260$$

$$720$$

$$1440$$

Solution

Question 8

$$18=6\times3$$

$$18=9\times2$$

$$18=3\times3\times2$$

$$18=18\times1$$

Solution

Question 9

$$1,x,{ x }^{ 2 }$$

$$1,-x,{ x }^{ 2 }$$

$$1,x,{ -x }^{ 2 }$$

$$-1,x,{ x }^{ 2 }$$

Solution

Question 10

$$60=5\times6\times2$$

$$60=5\times3\times2\times2$$

$$60=3\times4\times5$$

None of these

Solution

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