CBSE - MCQ Question Banks (के. मा. शि. बो . -प्रश्नमाला )
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Write the fraction for the shaded portion. Also, shade the equivalent fraction in the given image and write the equivalent fraction in the space provided.
Give any three examples of improper fraction.
Give any three examples of proper fraction.
What are improper fractions? Give example.
What are proper fractions? Give example.
What are mixed fractions? Give example.
Find the sum of first three consecutive multiples of 8.
Multiples of 8 = 8, 16, 24
Sum of multiples = 8 + 16 + 24
= 48
Find the smallest two digit number which is a common multiple of 12 and 14.
Multiple of 12 = 12, 24, 36, 48, 60, 72, 84, 96
Multiple of 14 = 14, 28, 42, 56, 70, 84, 98
Common multiples
Multiple of 12 = 12, 24, 36, 48, 60, 72, 84, 96
Multiple of 14 = 14, 28, 42, 56, 70, 84, 98
Common multiple of 12 and 14 = 84
Both Merry and Kerry are taking piano classes. Merry has piano class every 3rd day and Kerry has her class on every 5th day. On which day they both will come together for the class?
Days for piano classes for Merry = 3, 6, 9, 12, 15
Days for piano classes for Kerry = 5, 10, 15
Day when they will come for the class together = 15
On 15th day they will come together.
What is the common multiple of 8 and 9?
Multiples of 8 = 8, 16, 24, 32, 40, 48, 56, 64, 72
Multiples of 9 = 9, 18, 27, 36, 45, 54, 63, 72
Common multiple -
Multiples of 8 = 8, 16, 24, 32, 40, 48, 56, 64, 72
Multiples of 9 = 9, 18, 27, 36, 45, 54, 63, 72
Common multiple = 72
What is the common multiple of 6 and 7?
Multiples of 6 = 6, 12, 18, 24, 30, 36, 42, 48, 54, 60
Multiples of 7= 7, 14, 21, 28, 35, 42, 49, 56, 63, 70
Common multiple
Multiples of 6 = 6, 12, 18, 24, 30, 36, 42, 48, 54, 60
Multiples of 7= 7, 14, 21, 28, 35, 42, 49, 56, 63, 70
Common multiple = 42
Write down the common factors of 44, 62 and 54.
Factors of 44 = 1, 2, 4, 11, 22, 44
Factors of 62 = 1, 2, 31, 62
Factors of 54 = 1, 2, 3, 6, 9, 18, 27, 54
Common factors
Factors of 44 = 1, 2, 4, 11, 22, 44
Factors of 62 = 1, 2, 31, 62
Factors of 54 = 1, 2, 3, 6, 9, 18, 27, 54
Common factors = 1, 2
Dova is arranging 49 cards of club and 38 cards of heart in a row. She wants all the rows to be arranged in the same way, with same combination of both the cards. She also wants to make sure that no cards are left out. What is the greatest number of rows that Dova can make?
Factors of 49 = 1, 7, 49
Factors of 38 = 1, 2, 19, 38
Common factors
Factors of 49 = 1, 7, 49
Factors of 38 = 1, 2, 19, 38
Common factor = 1
She can arrange the cards equally only in 1 row.
I am a number between 15 and 20. Two of my factors are 2 and 4 and I am also the common factor of 32 and 48. Which number am I?
A number between 15 and 20 = 16, 17, 18, 19
Number that have 2 and 4 as a factor = 16
16 is a common factor of 32 and 48
Number = 16
If the 4th factor of 92 is subtracted from the 7th factor of 88, which number do we get? (HINT: first arrange the factors in ascending order).
Factors of 92 = 1, 2, 4, 23, 46, 92
Factors of 88 = 1, 2, 4, 8, 11, 22, 44, 88
Subtraction = 44 23 = 21
What is the sum of all the common factors of 56 and 64?
Factors of 56 = 1, 2, 4, 7, 8, 14, 28, 56
Factors of 64 = 1, 2, 4, 8, 16, 32, 64
Common factors
Factors of 56 = 1, 2, 4, 7, 8, 14, 28, 56
Factors of 64 = 1, 2, 4, 8, 16, 32, 64
Common factors = 1, 2, 4, 8
Sum of common factors = 1 + 2 + 4 + 8 = 15
What is the smallest common factor of 66 and 75 after 1?
Factors of 66 = 1, 2, 3, 6, 11, 22, 33, 66
Factors of 75 = 1, 3, 5, 15, 25, 75
Common factors
Factors of 66 = 1, 2,3, 6, 11, 22, 33, 66
Factors of 75 = 1, 3, 5, 15, 25, 75
Common factors = 1, 3
Smallest factor = 3
Which number is the common factor of 10, 15, and 20 after 1?
Factors of 10 = 1, 2, 5, 10
Factors of 15 = 1, 3, 5, 15
Factors of 20 = 1, 2, 4, 5, 10 20
Common factors
Factors of 10 = 1, 2, 5, 10
Factors of 15 = 1, 3, 5, 15
Factors of 20 = 1, 2, 4, 5, 10 20
Common factor after 1 = 5
Write down all the factors of 86.
Factors of 86 = 1, 2, 43, 86
How many factors of 52 greater than 1 are even numbers?
What are the common factors of 68 and 72?
Factors of 68 = 1, 2, 4, 17, 34, 68
Factors of 72 = 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
Common factors
Factors of 68 = 1, 2, 4, 17, 34, 68
Factors of 72 = 1, 2, 3,4, 6, 8, 9, 12, 18, 24, 36, 72
Common factors of 68 and 72 = 1, 2, 4
Suman needs to set up 75 chairs for a training programme. She wants to put equal number of chairs in each row with no chairs left over. How many chairs could she put in each row?
Since, 75 is divisible by 5 (By divisibility test)
So, she put 5 chairs in each row.
Using Divisibility Test, find whether 58960 is divisible by 10 or not.
Since, the given number has 0 at its ones place,
So, 58960 is divisible by 10.
Numbers like 55, 65, 75, 85, ...(and so on) are divisible by 5 but not by 2. Give reason.
Since, a number which has 0 or 5 at ones place is divisible by 5,
So, Numbers like 55, 65, 75, 85, …..(and so on) are divisible by 5.
But the Numbers like 55, 65, 75, 85, …..(and so on) are not divisible by 2 because they do not have even numbers at their ones place.
Using divisibility test, find the number which can be divided by 3.
96, 315, 853, 412, 75, 123
96, 315, 75, 123
Using divisibility test, find the number which can be divided by 5.
780, 456, 582, 455, 350, 459, 142, 240
780, 455, 350, 240
Choose the number which can be divided by 5.
1247, 1256, 1655, 1479
1655
Pick the odd one.
Rewrite the correct statement.
A number is divisible by 9 if the sum of its digits is a multiple of 3.
A number is divisible by 9 if the sum of its digits is a multiple of 9.
Is 564 is divisible by 3?
Yes, 564 is divisible by 3.
Is 726 is divisible by 4?
since, 26 is not divisible by 4, 726 is not divisible by 4.
Find the HCF of 847 and 1650.
Thus, HCF of 847 and 1650 is 11.
Three children are walking. Their steps measure 36 cm, 72 cm and 90 cm. If they step from a line AB their steps will fall together again at line CD. What is the distance between AB and CD?
To find the distance between AB and CD, we find the LCM of 36, 72 and 90.
LCM = 3 X 3 X 2 X 2 X 2 X 5
= 360
Thus, the distance between AB and CD is 360 cm.
The boy takes 50 seconds to complete one round and the girl takes 40 seconds to complete the same round. If they move in the same direction, when will they meet again?
We have to find the LCM of 40 and 50.
LCM = 2 X 2 X 2 X 5 x 5
= 200
Hence, they will meet after 200 seconds.
Boxes that are 12 inches tall are being stacked next to boxes that are 18 inches tall. What is the shortest height at which the two stacks will be the same height?
We first find the LCM of 12 and 18.
LCM = 2 X 2 X 3 x 3
= 36
Thus, the shortest height at which the two stacks will be at the same height is 36 inches.
Three bells start ringing together. Then, they ring at intervals of 16, 20 and 24 minutes, respectively. When will they next ring together?
LCM = 2 X 2 X 2 X 2 X 3 X 5
= 240
They will ring together at 240th minute.
Find the HCF of 762 and 1270.
The HCF of 762 and 1270 is 254.
The product of two numbers is 13,824. Their LCM is 288. Find their HCF.
The product of two numbers is 192. Their LCM is 48. Find their HCF.
Product of the numbers = 192
Find the LCM of 24 and 44 by using prime factorization method.
We first express 24 and 44 as a product of prime factors
Find the HCF of 36, 48 and 60.
Prime factors of 36 = 2 X 2 X 3 X 3
Prime factors of 48 = 2 X 2 X 2 X 2 X 3
Prime factors of 60 = 2 X 2 X 3 X 5
HCF of 36, 48 and 60 = 2 X 2 X 3
= 12
Match the numbers with its multiples.
Look at these numbers.
Product of 34 and 19 = 646
Hence, two numbers are 19 and 34.
Esaia listed down first five common multiples of 4 and 8.
Has she listed down the numbers properly?
Justify your answer.
Multiples of 4 and 8 = 8, 16, 20, 24, 32
Given common multiples of 4 and 8 = 8, 16, 20, 24, 32
Multiples of 4 = 4, 8, 12, 16, 20, 24, 28, 32
Multiples of 8 = 8, 16, 24, 32, 40, 48, 56, 64
Common multiples
Multiples of 4 = 4, 8, 12, 16, 20, 24, 28, 32
Multiples of 8 = 8, 16, 24, 32, 40, 48, 56, 64
Common multiples of 4 and 8 = 8, 16, 24, 32
She did not list down properly because 20 is not a common multiple of 4 and 8.
I am more than 20 and less than 25. I am not a multiple of 2 and 3. What number am I?
Multiple of 2 = 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24,
Multiple of 3 = 3, 6, 9, 12, 15, 18, 21, 24
Since multiple of 2 are 20, 22, 24 and multiple of 3 are 21 and 24. Hence only 23 is a number which is not a multiple of 2 and 3.
So, 23 is the required number.
If 16th multiple of 2 is subtracted from 13th multiple of 3, what number we get?
16th multiple of 2 = 16 x 2 = 32
13th multiple of 3 = 13 x 3 = 39
Subtraction = 39 32 = 7
List first five multiples of 9.
Multiples of 9 = 9, 18, 27, 36, 45
What are the first two consecutive multiples of 12?
First two multiples of 12 = 12,24
Write the first common multiple of 12 and 24.
48
Correct the statement
8 is a multiple of 64 whereas 16 is a factor of 4
8 is a factor of 64 whereas 16 is a multiple of 4.
Find the error and rewrite the statement.
20 is a factor of 5
20 is a multiple of 5
Identify the pair of number in which the second number is a factor of first number.
Write down all the factors of 81.
Factors of 81 = 1, 3, 9, 27, 81
Choose the correct answer.
Factor
Circle the odd factors of 74.
Find the sum of all the factors of
Factors of 63 = 1, 3, 7, 9, 21, 63
Sum of all the factors of 63 = 1+ 3+ 7 + 9 + 21 + 63
= 104
List all the factors of
Factors of 60 = 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30 60
Is 42 a factor or multiple of 84?
42 is a factor of 84.
What are common factors? Explain it with an example.
Factors that are common for two or more numbers are called common factors of those given numbers.
Example
Factors of 4 = 1, 2, 4
Factors of 8 = 1, 2, 4, 8
Common factors = 1, 2, 4
In the statement 12 x 3 = 36, what is the relation between 36, 12 and 3?
12 and 3 are factors of 36.
Fill in the blanks.
Using divisibility test, find the numbers which can be divided by 10.
852 or 920
920
Using divisibility test, find the number which can be divided by 8.
Observe the numbers and using divisibility test, find the numbers which divides them.
Using divisibility test,
We observe that all the numbers are divisible by 2 and 4.
Observe the numbers and using divisibility test, find the numbers which divides them.
Using divisibility test,
We observe that all the numbers are divisible by 3 and 9.
Which number is divisible by 8?
144 or 124
144
We divide 17 by 6.
Using divisibility test, find the numbers which can be divided by 4.
196, 208, 265, 254, 146, 116
196, 208, 116
Is 765 is divisible by 9? Check.
Since, 7 + 6 + 5 = 18 and 18 is a multiple of 9 , 765 is divisible by 9
Complete the table.
Find the HCF of the following sets of numbers by using the long division method.
a. 470, 329
b. 188, 235, 282
Find the HCF of the following sets of numbers by using prime factorization method.
a. 612, 522
b. 106, 192, 96
106 = 2 X 53
192 = 2 X 3 X 2 X 2 X 2 X 2 X 2
96 = 3 X 2 X 2 X 2 X 2 X 2
HCF of 106, 192 and 96 = 2
Use the prime factorization method to find the HCF and LCM of the following numbers.
a. 36 and 90
b. 42 and 88
The LCM and HCF of two numbers are 2310 and 33 respectively. If one of the numbers is 330, find the other number.
