Playing with Numbers Test

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Playing with Numbers Test - 15

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Weekly Quiz Competition

Question 1
1 / -0

Which of the following number is divisible by $$5$$?

A
$$132$$

B
$$456$$

C
$$890$$

D
$$346$$

Solution

A number is divisible by $$5$$ if the last digit ends with $$0$$ or $$5$$.
Here, $$890$$ is divisible by $$5$$ because the last digit ends with $$0$$.
So, option C is correct.
Question 2
1 / -0

If the number is divisible by $$5$$, then its last digit will be

A
$$2$$ or $$1$$

B
$$3$$

C
$$4$$

D
$$5$$ or $$0$$

Solution

According to the divisibility test of $$5$$ if a number is divisible by $$5$$ then its unit's place digit will be $$0$$ or $$5.$$

Hence, option $$D$$ is correct.
Question 3
1 / -0

If the last three digits of a number are divisible by $$8$$, then the number is divisible by ____.

A
$$7$$

B
$$8$$

C
$$9$$

D
$$10$$

Solution

If the last three digits of a number are divisible by $$8$$, then the number is divisible by $$8$$.
Example: $$80648$$
Here the last three digits, $$648$$ is multiple of $$8$$.
So, $$80648$$ is divisible by $$8$$.
So, option B is correct.
Question 4
1 / -0

If a number ends with $$0$$ or $$5$$, then the number is divisible by __.

A
$$6$$

B
$$3$$

C
$$7$$

D
$$5$$

Solution

If the last digit of a number ends with $$0$$ or $$5$$, then the number is divisible by $$5$$.
Example: $$120$$ is divisible by $$5$$.
$$255$$ is divisible by $$5$$.
So, option D is correct.
Question 5
1 / -0

Which of these numbers are divisible by $$6$$?

A
$$23,685$$

B
$$12,976$$

C
$$12,861$$

D
$$34,416$$

Solution

We know the divisibility rule for $$6$$:
If the number is exactly divisible by both $$2$$ and $$3$$, then the given number is also divisible by $$6$$.
Here, $$34,416$$ is divisible by $$6$$, because the last digit is even and sum of digits is a multiple of $$3$$.
So, option D is correct.
Question 6
1 / -0

Check the numbers which are not divisible by $$4$$?

A
$$3,200$$

B
$$4,120$$

C
$$3,113$$

D
$$9,812$$

Solution

We know the divisibility rule for $$4$$ we check the last two digits are a multiple of $$4$$ or if the last two digits are $$00$$.
Here, $$3,113$$ is not divisible by $$4$$ because the last two digits are not a multiple of $$4$$ or $$00$$.
So, option C is correct.
Question 7
1 / -0

Among the following options, the largest number exactly divisible by $$5$$?

A
$$60$$

B
$$25$$

C
$$95$$

D
$$97$$

Solution

We know the divisibility rule for $$5$$: The last two digits ends with $$0$$ or $$5$$.
Here, all the numbers are divisible by $$5$$ as the last digits are $$0, 5$$.
But, $$95$$ is the correct answer, as it is divisible by $$5$$ and is the largest number.
So, option C is correct.
Question 8
1 / -0

If a number is divisible by $$2$$ and $$3$$, then it satisfies the divisibility rule of

A
$$5$$

B
$$6$$

C
$$4$$

D
$$7$$

Solution

If the number is divisible by $$2$$ and $$3$$, then it satisfy the divisibility rule of $$6.$$
Example: $$306$$ is divisible by both $$2$$ and $$3$$.
Since the last digit is even, it is divisible by $$2$$
The sum of the digits $$3 + 0 + 6 = 9$$, which is multiple of $$3$$.

So, option B is correct.
Question 9
1 / -0

Select the right statement.

A
Zero is not even and not positive

B
Zero is even and positive

C
The largest factor of $$28$$ is $$14$$

D
The sum of the smallest prime and the greatest negative even integer is zero

E
None

Solution

We know that the smallest prime is $$2$$ and the greatest negative even integer is $$-2$$, so answer D is correct$$.(2-2=0)$$

For A & B. Zero is an even integer, since it can be divided by two without any remainder. Also, zero is neither positive nor negative: it is the integer that divides the number line into negative on the left and positive on the right.

For C. The largest factor of $$28$$ is $$28$$ itself.
Question 10
1 / -0

What is the product of the smallest prime number that is greater than $$50$$ and the greatest prime number that is less than $$50$$ ?

A
$$2400$$

B
$$2491$$

C
$$2450$$

D
$$2241$$

Solution

We know that:
Smallest prime number greater than $$50$$ is $$'53'$$
Greatest prime number less than $$50$$ is $$'47'$$
Product of the above two numbers $$=$$ $$53$$ $$\times$$ $$47$$ $$=$$ $$2491$$
Therefore, product of smallest prime number greater than $$'50'$$ and the greatest prime number less than $$50$$ is $$'2491'$$.

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Re-Attempt Weekly Quiz Competition

Playing with Numbers Test - 15

Result

Playing with Numbers Test - 15

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SHARING IS CARING

Question 1

$$132$$

$$456$$

$$890$$

$$346$$

Solution

Question 2

$$2$$ or $$1$$

$$3$$

$$4$$

$$5$$ or $$0$$

Solution

Question 3

$$7$$

$$8$$

$$9$$

$$10$$

Solution

Question 4

$$6$$

$$3$$

$$7$$

$$5$$

Solution

Question 5

$$23,685$$

$$12,976$$

$$12,861$$

$$34,416$$

Solution

Question 6

$$3,200$$

$$4,120$$

$$3,113$$

$$9,812$$

Solution

Question 7

$$60$$

$$25$$

$$95$$

$$97$$

Solution

Question 8

$$5$$

$$6$$

$$4$$

$$7$$

Solution

Question 9

Zero is not even and not positive

Zero is even and positive

The largest factor of $$28$$ is $$14$$

The sum of the smallest prime and the greatest negative even integer is zero

None

Solution

Question 10

$$2400$$

$$2491$$

$$2450$$

$$2241$$

Solution

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