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CBSE Questions for Class 6 Maths Playing With Numbers Quiz 4 - MCQExams.com
CBSE
Class 6 Maths
Playing With Numbers
Quiz 4
Check the numbers which are not divisible by $$2$$.
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$$341$$
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$$220$$
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$$518$$
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$$454$$
Explanation
We know the divisibility rule for $$2$$:
Always check the last digit end with $$0, 2, 4, 6$$ or $$8$$.
Here, $$341$$ is not divisible by $$2$$ because the last digit is end with $$1$$.
If the last two digits of a number is $$00$$, then it is exactly divisible by _____.
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$$12$$
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$$9$$
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$$7$$
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$$4$$
Explanation
If the last two digits of a number is $$00$$ then it is exactly divisible by $$4$$.
This is the divisibility rule for $$4$$.
So, option D is correct.
If two numbers are relatively prime or co- prime, then their HCF is ...............
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$$5$$
0%
$$0$$
0%
$$1$$
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$$9$$
Explanation
Co-prime numbers are a set of numbers or integers which have only $$1$$ as their common factor i.e., their
(HCF) is $$1$$.
The factors of prime number is $$1$$ and number itself, so HCF of such numbers is $$1$$.
Hence, option C is correct.
Check the numbers which are divisible by $$2$$?
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$$234$$
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$$120$$
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$$311$$
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$$267$$
Explanation
Rule for divisible by 2.
Any number with the last digit of $$0,2,4,6,8$$ are divisible by 2.
Here, the numbers $$234$$ and $$120$$ are divisible by $$2$$ because the last digit is end with $$4$$ and $$0$$ respectively.
So, options A and B are correct.
If the last two digits of a number is divisible by $$4$$, the number is also divisible by ____.
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$$4$$
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$$5$$
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$$7$$
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$$9$$
Explanation
If the last two digits of a number is divisible by $$4$$, the number is also divisible by $$4$$
Example: $$112$$ is divisible by $$4$$, since the last $$2$$ digits are a multiple of $$4$$.
So, option A is correct.
A number that has $$0, 2, 4, 6$$ or $$8$$ in its ones place is divisible by ________.
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$$0$$
0%
$$2$$
0%
$$4$$
0%
$$6$$
Explanation
A number that has $$0, 2, 4, 6$$ or $$8$$ in its ones place is divisible by $$2$$.
Example:
$$20$$ is divisible by $$2 = 10$$
$$22$$ is divisible by $$2 = 11$$
$$44$$ is divisible by $$2 = 44$$
$$26$$ is divisible by $$2 = 26$$
$$18$$ is divisible by $$2 = 9$$
So, option B is correct.
Which of the following numbers are divisible by $$4$$?
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$$123$$
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$$412$$
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$$911$$
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$$353$$
Explanation
We know the divisibility rule for $$4$$:
Check the last two digits are a multiple of $$4$$ or if the last two digits are $$00$$.
Here, $$412$$ is divisible by $$4$$ because the last two digits are a multiple of $$4$$.
So, option B is correct.
Check the numbers which are divisible by $$4$$?
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0%
$$416$$
0%
$$200$$
0%
$$321$$
0%
$$701$$
Explanation
We know the divisibility rule for $$4$$:
Check the last two digits are a multiple of $$4$$ or if the last two digits are $$00$$.
Here, $$416$$ and $$200$$ are divisible by $$4$$ because the last two digits are a multiple of $$4$$ and $$00$$ respectively.
So, options A and B are correct.
The number $$2,364$$ is divisible by _____.
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$$9$$
0%
$$5$$
0%
$$4$$
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$$7$$
Explanation
We know the divisibility rule for $$4$$:
Check the last two digits are a multiple of $$4$$ or if the last two digits are $$00$$.
Here, $$2,364$$ is divisible by $$4$$ because the last two digits are a multiple of $$4$$.
So, option C is correct.
Which of the following number is divisible by $$5$$?
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$$132$$
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$$456$$
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$$890$$
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$$346$$
Explanation
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.
If a number ends with $$0$$ or $$5$$, then the number is divisible by __.
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$$6$$
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$$3$$
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$$7$$
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$$5$$
Explanation
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.
If the last three digits of a number are divisible by $$8$$, then the number is divisible by ____.
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0%
$$7$$
0%
$$8$$
0%
$$9$$
0%
$$10$$
Explanation
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.
If the number is divisible by $$5$$, then its last digit will be
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$$2$$ or $$1$$
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$$3$$
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$$4$$
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$$5$$ or $$0$$
Explanation
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.
Which of these numbers are divisible by $$6$$?
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$$23,685$$
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$$12,976$$
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$$12,861$$
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$$34,416$$
Explanation
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.
Check the numbers which are not divisible by $$4$$?
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$$3,200$$
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$$4,120$$
0%
$$3,113$$
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$$9,812$$
Explanation
We know the divisibility rule for $$4$$ we c
heck 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.
Among the following options, the largest number exactly divisible by $$5$$?
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$$60$$
0%
$$25$$
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$$95$$
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$$97$$
Explanation
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.
If a number is divisible by $$2$$ and $$3$$, then it satisfies the divisibility rule of
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$$5$$
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$$6$$
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$$4$$
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$$7$$
Explanation
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.
What is the least positive integer that is the product of $$3$$ different prime numbers greater than $$2$$?
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$$27$$
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$$45$$
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$$63$$
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$$75$$
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$$105$$
Explanation
Three different prime numbers which are greater than $$2$$ are $$3,5,7$$.
$$\therefore 3,5,7$$ are three least prime numbers above $$2$$.
Therefore, the product of all these is $$3 \times 5 \times 7 = 105$$.
Select the right statement.
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Zero is not even and not positive
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Zero is even and positive
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The largest factor of $$28$$ is $$14$$
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The sum of the smallest prime and the greatest negative even integer is zero
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None
Explanation
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.
What is the product of the smallest prime number that is greater than $$50$$ and the greatest prime number that is less than $$50$$ ?
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0%
$$2400$$
0%
$$2491$$
0%
$$2450$$
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$$2241$$
Explanation
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 $$'2491'$$.
Find the greatest common factor of $$42,126$$ and $$210$$.
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0%
$$2$$
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$$6$$
0%
$$14$$
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$$21$$
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$$42$$
Explanation
We know, $$42=2\times 3\times 7$$
$$126=2\times 3\times 3\times 7$$
$$210=2\times 3\times 5\times 7$$
$$\therefore$$ H.C.F $$=2\times 3\times 7=42$$
Find the number of prime numbers between $$20$$ and $$40$$, both inclusive.
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0%
Three
0%
Four
0%
Five
0%
Six
0%
Seven
Explanation
A number that is divisible by itself or $$1$$ is called prime number.
Prime number between $$20$$ and $$40$$ are $$23,29,31 ,37$$.
Then there are $$4$$ prime number between $$20$$ and $$40$$.
What is the sum of the least prime number and the greatest negative even integer?
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0%
$$10$$
0%
$$0$$
0%
$$1$$
0%
$$2$$
0%
$$3$$
Explanation
The least prime number is $$2$$, and the greatest negative even integer is $$-2$$, so the answer is $$0$$.
What is the sum of the smallest prime and the largest prime less than $$10$$?
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0%
$$7$$
0%
$$9$$
0%
$$10$$
0%
$$11$$
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$$12$$
Explanation
Smallest prime number less than $$10$$ is $$2$$ and largest prime number less than $$10$$ is $$7$$ and their sum is $$2+7=9$$
What is the greatest common factor of $$45,135$$ and $$270$$?
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$$5$$
0%
$$9$$
0%
$$15$$
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$$25$$
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$$45$$
Explanation
The factors of the given numbers are:
$$45 = 1,3,5,9,15$$ and $$45$$
$$135 = 1,3,5,9,15,45$$ and $$135$$
$$270 = 1,3,5,9,15,45,90,135$$ and $$270$$
The common factors in each of the above numbers are $$3,3$$ and $$5$$.
Hence, the greatest common factor is $$3\times 3\times 5=45$$
and as $$45$$ is also a factor of both $$135$$ and $$270$$
Hence the GCF of $$45, 135$$ and $$270$$ is $$45$$
Each of the following is a factor of $$80$$, except
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0%
$$5$$
0%
$$8$$
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$$12$$
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$$16$$
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$$40$$
Explanation
The positive integers factor of $$80$$ are
$$1,2,4,5,8,10,20,40$$ and $$80$$
Then in given option the option C is $$12$$ not the factor a factor of $$80$$.
Answer is $$12$$.
If the sum of the digits of a number is divisible by $$3$$, then the number is also divisible by __.
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0%
$$2$$
0%
$$3$$
0%
$$4$$
0%
$$5$$
Explanation
If the sum of the digits of a number is divisible by $$3$$, then the number is also divisible by $$3$$.
Example: $$372$$
Sum of the digits $$= 3 + 7 + 2 = 12,$$ which is divisible by $$3$$.
The number, $$372$$ is also divisible by $$3$$.
How many numbers are divisible by $$9$$?
$$863, 267, 129, 774, 981, 997, 936$$
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0%
$$2$$
0%
$$3$$
0%
$$4$$
0%
$$5$$
Explanation
Here,
$$774=7+7+4=18, 981= 9+8+1=18, 936= 9+3+6=18$$
are divisible by $$9$$ because the sum of the digits of those numbers are a multiple of $$9$$.
Therefore, there are $$3$$ numbers divisible by $$9$$.
So, option B is correct.
Find the highest common factor of $$36$$ and $$84$$.
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0%
$$4$$
0%
$$6$$
0%
$$12$$
0%
$$18$$
Explanation
Prime factors of $$36=2\times2\times3\times3$$
Prime Factors of $$84=2\times2\times 3\times 7$$
$$\therefore$$ H.C.F. $$=2\times2\times 3=12$$.
How many prime numbers are less than $$50$$?
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0%
$$16$$
0%
$$15$$
0%
$$14$$
0%
$$18$$
Explanation
Prime numbers less than $$50$$ are:
$$2,3,5,7,11,13,17,19,23,29,31,37,41,43,47$$
Their number is $$15$$.
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