MCQ on Playing with Numbers for Class 6
Class 6 Maths Chapter 3 Playing with Numbers MCQ
MCQ of The Playing with Numbers Class 6
Question 1.
The number not divisible by 2 is ( )
A) 1113
B) 1110
C) 1112
D) 1104
Answer:
A) 1113
Question 2.
The number divisible by 2 is ( )
A) 983
B) 981
C) 985
D) 986
Answer:
D) 986
Question 3.
The number divisible by 3 is ( )
A) 1714
B) 2406
C) 1450
D) 683
Answer:
B) 2406
Question 4.
The number divisible by 6 is ( )
A) 1111
B) 1112
C) 1110
D) 1114
Answer:
C) 1110
Question 5.
9846 is not divisible by ( )
A) 2
B) 4
C) 3
D) 9
Answer:
B) 4
Question 6.
Which of the following number is divisible by 1,2,3,4,5 is ……. ? ( )
A) 122
B) 60
C) 20
D) 30
Answer:
B) 60
Question 7.
The smallest prime number is ( )
A) 0
B) 1
C) 2
D) 3
Answer:
C) 2
Question 8.
The smallest composite number is ( )
A) 3
B) 4
C) 2
D) 1
Answer:
B) 4
Question 9.
HCF of 80 and 56 is ( )
A) 4
B) 2
C) 8
D) 1
Answer:
C) 8
Question 10.
HCF of 12 and 30 is ( )
A) 6
B) 4
C) 2
D) 3
Answer:
A) 6
Question 11.
HCF of 40 and 60 is ( )
A) 2
B) 4
C) 10
D) 20
Answer:
D) 20
Question 12.
Number divisible by 8 is ( )
A) 1243
B) 1244
C) 1240
D) 1246
Answer:
C) 1240
Question 13.
Number divisible by 11 is ( )
A) 1221
B) 1784
C) 1691
D) 1550
Answer:
A) 1221
Question 14.
The number of factors of 12 is ( )
A) 4
B) 6
C) 5
D) 3
Answer:
B) 6
Question 15.
LCM of 24,36 and 72 is ( )
A) 12
B) 36
C) 72
D) 24
Answer:
C) 72
Question 16.
LCM of 5,6 and 7 is ( )
A) 30
B) 42
C) 35
D) 210
Answer:
D) 210
Question 17.
LCM of 6 and 8 is
A) 24
B) 12
C) 48
D) 14
Answer:
A) 24
Question 18.
LCM of 45 and 90 is ( )
A) 180
B) 90
C) 15
D) 45
Answer:
B) 90
Question 19.
A number divisible by both 8 and 11 is
A) 1353
B) 1342
C) 1331
D) 1320
Answer:
D) 1320
Question 20.
The smallest number that must be added to 988 , so that it becomes exactly divisible by 5 is ( )
A) 0
B) 1
C) 2
D) 3
Answer:
C) 2
Question 21.
The smallest number that has to be subtracted from 6143, so that it becomes exactly divisible by 10 is ( )
A) 3
B) 2
C) 4
D) 5
Answer:
A) 3
Question 22.
This is not a factor of 78 ( )
A) 3
B) 2
C) 4
D) 6
Answer:
C) 4
Question 23.
A number equal to the sum of its other factors ( )
A) 8
B) 6
C) 12
D) 10
Answer:
B) 6
Question 24.
Which of the following are twin primes ? ( )
A) (11,13)
B) (2,3)
C) (2,5)
D) (3,7)
Answer:
A) (11,13)
Question 25.
Which of the following are co-primes? ( )
A) (3,5)
B) (5,7)
C) (3,8)
D) (17,19)
Answer:
C) (3,8)
Question 26.
Which of the following number is divisible by ‘2’? ( )
A) 1027
B) 8129
C) 56785
D) 22558
Answer:
D) 22558
Question 27.
Which of the following number is divisible by ‘3’ ? ( )
A) 1250
B) 250
C) 4335
D) 321729
Answer:
D) 321729
Question 28.
Which of the following is divisible by 6 ? ( )
A) 4335
B) 10205
C) 312796
D) 321729
Answer:
C) 312796
Question 29.
Which of the following is not divisible by 5 ? ( )
A) 105
B) 45880
C) 10204
D) 8055
Answer:
C) 10204
Question 30.
Which of the following is divisible by ’10’? ( )
A) 12501
B) 66650
C) 99099
D) 1234567
Answer:
B) 66650
Question 31.
Which of the following number is not divisible by ‘ 9 ‘ ? ( )
A) 197
B) 198
C) 988974
D) 4689
Answer:
A) 197
Question 32.
The factor of 12 are _____ ( )
A) 1,2
B) 3,4
C) 6,12
D) All the above
Answer:
D) All the above
Question 33.
Which of the following is not a factor of 24? ( )
A) 12,3
B) 6,2
C) 4,1
D) 5,7
Answer:
D) 5,7
Question 34.
What is the greatest factor of 80 which is also a divisor of 32 ? ( )
A) 2
B) 4
C) 8
D) 16
Answer:
D) 16
Question 35.
Which of the following is not a composite number?
A) 12
B) 4
C) 7
D) 9
Answer:
C) 7
Question 36.
Which of the following is a neither prime nor composite? ( )
A) 1
B) 2
C) 3
D) 4
Answer:
A) 1
Question 37.
Which of the following is not a prime? ( )
A) 121
B) 147
C) 97
D) 91
Answer:
C) 97
Question 38.
Which of the following are a pair of co-primes ? ( )
A) (30,35)
B) (99,21)
C) (3,5)
D) (63,45)
Answer:
C) (3,5)
Question 39.
Which of the following are not a pair of twin primes? ( )
A) (2,3)
B) (3,5)
C) (5,7)
D) (11,13)
Answer:
A) (2,3)
Question 40.
The product of two primes of ‘ 91 ‘ is _____ ( )
A) 13 × 17
B) 7 × 13
C) 11 × 7
D) 2 × 3 × 5 × 7
Answer:
B) 7 × 13
Question 41.
Express 47 as sum of 3 primes?( )
A) 13 + 29 + 5
B) 29 + 11 + 7
C) 31 + 5 + 11
D) All the above
Answer:
D) All the above
Question 42.
Prime factorisation of 48 is ( )
A) 2 × 2 × 2 × 3
B) 2 × 2 × 2 × 2 × 3
C) 2 × 2 × 3 × 3
D) 2 × 3 × 3 × 3
Answer:
B) 2 × 2 × 2 × 2 × 3
Question 43.
What is common factor of 12 and 18 is ?
A) 4
B) 9
C) 5
D) 6
Answer:
D) 6
Question 44.
What is the H.C.F of 12,30,36 is ( )
A) 9
B) 3
C) 6
D) 18
Answer:
C) 6
Question 45.
What is the H.C.F of 40,56 and 60 ?
A) 4
B) 6
C) 8
D) 16
Answer:
A) 4
Question 46.
Two tankers contain 850 Itr and 680 Itr of kerosene oil. Then the maximum capacity of container using both tankers at a time to fill it ? (in lirs) ( )
A) 170
B) 160
C) 180
D) 240
Answer:
A) 170
Question 47.
What is the H.C.F of any pair of coprimes?
A) 0
B) 1
C) 2
D) can’t be determined
Answer:
B) 1
Question 48.
Which of the following is not a multiple of ‘7’?
A) 49
B) 63
C) 147
D) 93
Answer:
D) 93
Question 49.
The L.C.M of 24,90 is ………….. ?( )
A) 270
B) 180
C) 360
D) 450
Answer:
C) 360
Question 50.
What is the L.C.M of $21,35,40$ ? ( )
A) 800
B) 840
C) 700
D) 740
Answer:
B) 840
Question 51.
The L.C.M of any 3 primes is equal to ( )
A) their product
B) their sum
C) their H.C.F
D) none
Answer:
A) their product
Question 52.
The greatest 3 -digited number which is divisible by $26,14,91$ leaves the remainder ‘7’ ( )
A) 185
B) 182
C) 189
D) 183
Answer:
C) 189
Question 53.
What are numbers whose L.C.M and H.C.F are equal ? ( )
A) (2,3)
B) (4,5)
C) (1,2)
D) (2,2)
Answer:
D) (2,2)
Question 54.
The smallest number which and when is subtracted to 7 , is exactly divisible by 7,8,9 is _____ ( )
A) 504
B) 511
C) 447
D) 502
Answer:
B) 511
Question 55.
The L.C.M and H.C.F of two numbers is 24,4 resp. If one of the number is 12 , then the other number is _____ ( )
A) 8
B) 12
C) 6
D) 9
Answer:
A) 8
Question 56.
The product of two numbers is 360. If H.C.F is 9 then their L.C.M is _____ ( )
A) 30
B) 4
C) 40
D) 60
Answer:
C) 40
Question 57.
Which of the following number is divisible by ’11’? ( )
A) 1221
B) 1831
C) 1212
D) 11202
Answer:
A) 1221
Question 58.
Which of the following is not divisible by 4 ? ( )
A) 76532
B) 11940
C) 195671
D) 914148
Answer:
C) 195671
Question 59.
Which of the following is divisible by 8 ? ( )
A) 796385
B) 193624
C) 110242
D) 123486
Answer:
B) 193624
Question 60.
76104 is divisible by _____ ( )
A) 8
B) 4
C) 2
D) All the above
Answer:
D) All the above
Question 61.
1089 is divisible by _____ ( )
A) 11
B) 7
C) 9
D) 3
Answer:
A) 11
Question 62.
The nearest number to 2025 which is divisible by 11 is _____ ? ( )
A) 2024
B) 2026
C) 2022
D) 2002
Answer:
A) 2024
Question 63.
Which of the following is a polyndrome number? ( )
A) 2156
B) 1441
C) 6174
D) 1024
Answer:
B) 1441
Question 64.
Which of the following is true?( )
A) 2 is a composite number
B) 4 is a prime number
C) 2 is an even prime
D) 1 is both prime and composite
Answer:
C) 2 is an even prime
Question 65.
Which of the following is not true? ( )
A) 6 is a factor of 6
B) 1 is the factor of all numbers
C) Number of factors of a given number are countable
D) Every factor is greater than or equal to the given number
Answer:
D) Every factor is greater than or equal to the given number
Question 66.
Which of the following is not true? ( )
A) 45880 is divisible by 10
B) 1771 is divisible by 11
C) 9847 is divisible by 9
D) 10248 is divisible by 8
Answer:
C) 9847 is divisible by 9
Question 67.
If \(\underline{\mathbf{X}}\) 6724 is divisible by 3 then x stands for _____ ( )
A) 9
B) 8
C) 4
D) All the above
Answer:
B) 8
Question 68.
If 174\(\underline{\mathbf{R}}\)1 is a polyndrome number then R = _____ ( )
A) 7
B) 4
C) 1
D) 2
Answer:
A) 7
Question 69.
If 98\(\underline{\mathbf{a}}\)974 is divisible by 9 then a = _____ ( )
A) 9
B) 8
C) 7
D) 5
Answer:
B) 8
Question 70.
Which of the following is a prime number which when on reversing its digits gives again a prime number ( )
A) 19
B) 13
C) 23
D) 27
Answer:
B) 13
Question 71.
2 × x × 3 × 5 × y is a prime factorisation of 120 then x – y = ? ( )
A) 0
B) 1
C) 2
D) 4
Answer:
A) 0
Question 72.
_____ is factor of every number. ( )
A) 0
B) 1
C) 2
D) 5
Answer:
B) 1
Question 73.
The numbers which have only ‘1’ as the common factor are called _____ ( )
A) Twin primes
B) Co-primes
C) Composit numbers
D) Prime factors
Answer:
B) Co-primes
Question 74.
The primes which are differ by 2 are called _____ numbers. ( )
A) Relatively primes
B) Co-primes
C) Twin primes
D) Even prince
Answer:
C) Twin primes
Question 75.
H.C.F of two consecutive numbers is _____ ( )
A) 0
B) 3
C) 2
D) 1
Answer:
D) 1
Question 76.
If one of the two given numbers is a multiple of the other then the L.C.M of the given numbers is _____ ( )
A) smaller number
B) greater number
C) their product
D) their H.C.F
Answer:
B) greater number
Question 77.
In a given number, if last 3-digits are divisible by 8 then the entire number is divisible by _____ ( )
A) 2
B) 4
C) 8
D) All the above
Answer:
D) All the above
Question 78.
H.C.F and L.C.M of two number x and y is p & q respectively, then x × y = …………. ? ( )
A) p × q
B) L.C.M + H.C.F (p + q)
C) \(\frac{\text { L.C.M }}{\text { H.C.F }}\left(\frac{q}{p}\right)\)
D) \(\frac{\text { H.C.F }}{\text { L.C.M }}\left(\frac{\mathrm{p}}{\mathrm{q}}\right)\)
Answer:
A) p × q
Question 79.
From the above sum H.C.F (p) = _____ ( )
A) x × y + L.C.M(q)
B) \(\frac{\mathrm{x} \times \mathrm{y}}{\mathrm{~L} . \mathrm{C} . \mathrm{M}}\) (or) \(\frac{x y}{q}\)
C) \(\frac{\text { L.C.M }}{\mathrm{xy}}\)(q)
D) x × y × L.C.M (q)
Answer:
B) \(\frac{\mathrm{x} \times \mathrm{y}}{\mathrm{~L} . \mathrm{C} . \mathrm{M}}\) (or) \(\frac{x y}{q}\)
Question 80.
Every polyndrome number is divisible by ( )
A) 9
B) 4
C) 11
D) 5
Answer:
C) 11
Question 81.
Which of the following is a kaprekr’s constant? ( )
A) 6174
B) 6147
C) 6714
D) 6471
Answer:
A) 6174
Question 82.
The number whose only factors are 1 and the number Itself is called ( )
A) composite number
B) even number
C) odd number
D) prime number
Answer:
D) prime number
Question 83.
Match the following: ( )
| i) Even prime number | a) 9 |
| ii) Least composite number | b) 4 |
| iii) Least odd composite number | c) 2 |
A) i – c, ii – b, iii – a
B) i – b, ii – c, iii – a
C) i – c, ii – a, iii – b
D) i – b, ii – a, iii – c
Answer:
A) i – c, ii – b, iii – a
Question 84.
Given which of the following Is not a factor of 30? ( )
A) 3
B) 5
C) 8
D) 10
Answer:
C) 8
Question 85.
The HCF of two consecutive even numbers is ( )
A) 1
B) 2
C) 0
D) 5
Answer:
B) 2
Question 86.
Sum of the first three prime numbers is ( )
A) 15
B) 6
C) 10
D) 5
Answer:
C) 10
Question 87.
HCF of two consecutive odd numbers is ( )
A) 2
B) 1
C) 3
D) 0
Answer:
B) 1
Question 88.
The difference between twin prime numbers is ( )
A) 2
B) 1
C) 10
D) 3
Answer:
A) 2
Question 89.
Which of the following statement is False ? ( )
A) 1 is neither a prime nor a composite number.
B) The sum of three odd numbers is odd number.
C) 2 is the only even prime number.
D) All prime numbers are odd.
Answer:
D) All prime numbers are odd.
Question 90.
Which of the following statements are True? ( )
i) Two numbers having only 1 as a common factor are called co-prime numbers.
ii) Every number Is a factor of itself.
iii) Every factor is greater than or equal to the given number.
iv) Number of multiples of a given number is finite.
A) (i) and (ii)
B) (iii) and (iv)
C) (iii)
D) (iv)
Answer:
A) (i) and (ii)
Question 91.
Match the items in column 1 with the items in column 2. ( )
| Column – 1 | Column – 2 |
| i) 6 | a) Factor of 16 |
| ii) 21 | b) Prime number |
| iii) 19 | c) Perfect number |
| iv) 8 | d) Multiple of 7 |
A) i – a, ii – c, iii – d, iv – b
B) i – c, ii – b, iii – a, iv – d
C) i – c, ii – d, iii – b, iv – a
D) i – a, ii – d, iii – c, iv – b
Answer:
C) i – c, ii – d, iii – b, iv – a
Question 92.
The greatest prime number between 10 and 20 ( )
A) 11
B) 15
C) 19
D) 18
Answer:
C) 19
Question 93.
Sum of the first three multiples of 10 is ( )
A) 30
B) 60
C) 7
D) 100
Answer:
B) 60
Question 94.
Which of the following is the correct prime factorisation of 72 ? ( )
A) 2 × 2 × 2 × 3 × 3
B) 2 × 2 × 3 × 3 × 3
C) 2 × 4 × 3 × 3
D) 2 × 2 × 6 × 3
Answer:
A) 2 × 2 × 2 × 3 × 3
Question 95.
Match the number in Column -1 to the prime factorisation in Column – 2. ( )
| Column – 1 | Column – 2 |
| i) 24 | a) 2 × 2 × 3 × 3 |
| ii) 100 | b) 2 × 2 × 2 × 3 |
| iii) 36 | c) 2 × 2 × 3 × 5 |
| iv) 60 | d) 2 × 2 × 5 × 5 |
A) i – b, ii – c, iii – a, iv – d
B) i – b, ii – d, iii – a, iv – c
C) i – a, ii – d, iii – b, iv – c
D) i – a, ii – c, iii – b, iv – d
Answer:
B) i – b, ii – d, iii – a, iv – c
Question 96.
HCF of 16, 24 and 28 is ()
A) 1
B) 2
C) 336
D) 4
Answer:
D) 4
Question 97.
The smallest three digit number which is divisible by 2, 3 and 5 is ( )
A) 60
B) 180
C) 120
D) 1011
Answer:
C) 120
Question 98.
Statement – I : A number which has only two factors Is called prime number.( )
Statement – II: If a number Is divisible by 2 and 3 both, then It is divisible by 6 also.
A) Statement – I is False. Statement – II is True.
B) Statement – I is True. Statement – II is False.
C) Both Statement – I and II are True.
D) Both Statement — I and II are False.
Answer:
C) Both Statement – I and II are True.
Question 99.
Which of the following number is divisible by 9? ( )
A) 11232
B) 23521
C) 32599
D) 93839
Answer:
A) 11232
Question 100.
Match Column – I with Column – II. ( )
| Column – I | Column – II |
| a) Lowest composite number | i) 1 |
| b) Number of factors of a prime number | ii) 2 |
| c) HCF of 15 and 27 | iii) 3 |
| d) HCF of 3 and 8 | iv) 4 |
A) a – i, b – ii, c – iv, d – iii
B) a – iv, b – ii, c – iii, d – i
C) a – iii, b – i, c – iv, d – ii
D) a – ii, b – iii, c – iv, d – i
Answer:
B) a – iv, b – ii, c – iii, d – i
Question 101.
In the given factor tree of 50, the missing number ‘a is ( )
A) 10
B) 5
C) 3
D) 2
Answer:
B) 5
Question 102.
In the given factor tree, x + y = ( )
A) 8
B) 5
C) 3
D) 2
Answer:
A) 8
Question 103.
In long division, find the missing number x = ( )
A) 7
B) 35
C) 10
D) 49
Answer:
D) 49
Question 104.
The smallest two digit number which Is divisible by 2, 4 and 5 is ( )
A) 10
B) 20
C) 16
D) 40
Answer:
B) 20
Question 105.
The least number which is divisible by 6, 9 and 15 leave remainder 5 in each case. ( )
A) 90
B) 185
C) 95
D) 85
Answer:
C) 95