Solving these TS 6th Class Maths Bits with Answers 3rd Lesson Playing with Numbers Bits for 10th Class will help students to build their problem-solving skills.
TS 6th Class Maths Bits Chapter 3 Playing with Numbers
Choose the correct answer and write it in the brackets.
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 hy 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) 120
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 6 M3, 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) 312795
D) 321729
Answer:
C) 312795
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) 66605
C) 99099
D) 1234567
Answer:
B) 66605
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 factors 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 neither a prime nor a 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) 37 + 5 + 11
D) All the above
Answer:
D) All the above
Question 42.
What is the prime factorisation of 48 ?
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.
Whatiscpmmon factor of 12 and 18 ?
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 ltr and 680 ltr of kerosene oil. Then the maximum capacity of container using both tankers at a time to fill it ? (in ltrs)
A) 170
B) 160
C) 180
D) 240
Answer:
A) 170
Question 47.
What is the H.C.F of any pair of co-primes?
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) 240
B) 210
C) 70
D) 140
Answer:
B) 210
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 – digit 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 ‘4’?
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.
Prime factorisation 90 is given below find the missing number ? k = ?
A) 8
B) 15
C) 9
D) 3
Answer:
C) 9
Question 65.
Match the following :
| Group – A | Group – B |
| 1. Divisible by 4 | a) 12560 |
| 2. Divisible by 8 | b) 988974 |
| 3. Divisible by 9 | c) 777864 |
| 4. Divisible by 11 | d) 101015101 |
A) 1 – a, 2 – c, 3 – b, 4 – d
B) 1 – a, 2 – b, 3 – c, 4 – d
C) 1 – a, 2 – b, 3 – d, 4 – c
D) 1 – c, 2 – a, 3 – b, 4 – d
Answer:
A) 1 – a, 2 – c, 3 – b, 4 – d
Question 66.
Match the following:
|
Group – A |
Group – B |
| 1. Factor of 65 | a) 9 |
| 2. Factor of 42 | b) 13 |
| 3. Factor of 48 | c) 8 |
| 4. Factor of 81 | d) 7 |
A) 1 – b, 2 – d, 3 – c, 4 – a
B) 1 – d, 2 – b, 3 – c, 4 – a
C) 1 – b, 2 – d, 3 – a, 4 – c
D) 1 – d, 2 – c, 3 – a, 4 – b
Answer:
A) 1 – b, 2 – d, 3 – c, 4 – a
Question 67.
Match the following :
|
Group – A |
Group – B |
| 1. If 10f24 divisible by 11 then, f = | a) 1 |
| 2. If 41g2 divisible by ‘8’ then, g = | b) 0 |
| 3. If 14,56h divisible by 4 then, h = | c) 5 |
| 4. If 2080j divisible by 11 then, j = | d) 8 |
A) 1 – a, 2 – b, 3 – c, 4 – d
B) 1 – d, 2 – c, 3 – b, 4 – a
C) 1 – c, 2 – d, 3 – b, 4 – a
D) 1 – d, 2 – c, 3 – a, 4 – b
Answer:
B) 1 – d, 2 – c, 3 – b, 4 – a
Question 68.
Match the following :
| Group – A | Group – B |
| 1. Palindrome number | a) 50 |
| 2. Kaprekar’s constant | b) 1221 |
| 3. Ramanujan number | c) 6174 |
| 4. No. of primesless than 100 | d) 1729 |
A) 1 – d, 2 – c, 3 – b, 4 – a
B) 1 – b, 2 – c, 3 – d, 4 – a
C) 1 – c, 2 – b, 3 – d, 4 – a
D) 1 – b, 2 – d, 3 – c, 4 – a
Answer:
B) 1 – b, 2 – c, 3 – d, 4 – a
Question 69.
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 70.
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 num¬ber 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 71.
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 72.
If x6724 is divisible by 3 then x stands for _______.
A) 9
B) 8
C) 4
D) All the above
Answer:
D) All the above
Question 73.
If 174R1 is a polyndrome number then R = _______.
A) 7
B) 4
C)1
D) 2
Answer:
A) 7
Question 74.
If 98a974 is divisible by 9 then a = _______.
A) 9
B) 8
C) 7
D) 5
Answer:
B) 8
Question 75.
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 76.
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 77.
Statement (P) :
The relation between L.C.M and H.C.F is product of the numbers = L.C.M × H.C.F.
Statement (Q) :
If one of the two given numbers is a multiple of the other, then the greater number will be their L.C.M.
A) Both P & Q are correct
B) P is not correct, Q is correct
C) P is correct, Q is not correct
D) Both P & Q is not correct.
Answer:
A) Both P & Q are correct
Question 78.
Statement (X) : HCF of any two consecutive numbers is 2.
Statement (Y): 2 is the only even prime
Statement (Z): 9 is the least composite number.
A) X, Y, Z are true
B) X is true, Y is false, Z is true
C) X is false, Y is true, Z is false
D) X, Y, Z are false
Answer:
C) X is false, Y is true, Z is false
Question 79.
Statement (A) : L.C.M of 22 × 33 × 5, 23 × 32 × 7 is 22 × 32 × 2 × 3 × 5 × 7.
Statement (B) : L.C.M of \(\frac{a}{b}, \frac{c}{d}, \frac{e}{f}\) is L.C.M of a, c, e / H.C.F of b, d, f.
Statement (C) : H.C.F of \(\frac{l}{\mathrm{~m}}, \frac{\mathrm{n}}{\mathrm{o}}, \frac{\mathrm{p}}{\mathrm{q}}\) is H.C.F of l, n, p / H.C.F of m, o, q
A) A, B & C are true
B) A is true, B is false, C is true
C) A is false, B is true, C is false
D) A, B & C are false.
Answer:
A) A, B & C are true.
Question 80.
_______ is factor of every number.
A) 0
B) 1
C) 2
D) 5
Answer:
B) 1
Question 81.
The numbers which have only ‘1’ as the common factor are called _______.
A) Twin primes
B) Co-primes
C) Composite numbers
D) Prime factors
Answer:
B) Co-primes
Question 82.
The primes which are differ by 2 are called _______ numbers.
A) Relatively primes
B) Co-primes
C) Twin primes
D) Even primes
Answer:
C) Twin primes
Question 83.
H.C.F of two consecutive numbers is _______.
A) 0
B) 3
C) 2
D) 1
Answer:
D) 1
Question 84.
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 85.
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 86.
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) \(\frac{\text { H.C.F }}{\text { L.C.M }}\left(\frac{p}{q}\right)\)
Answer:
A) p × q
Question 87.
From the above sum H.C.F (p) = _______.
A) x × y + L.C.M (q)
B) \(\frac{x \times y}{\text { L.C.M }} \text { (or) } \frac{x y}{q}\)
C) \(\frac{\text { L.C.M }}{x y}(q)\)
D) x × y × L-C.M (q)
Answer:
B) \(\frac{x \times y}{\text { L.C.M }} \text { (or) } \frac{x y}{q}\)
Question 88.
Every palyndrome number is divisible by _______.
A) 9
B) 4
C) 11
D) 5
Answer:
C) 11
Question 89.
Which of the following is a ‘kaprekar’s constant ?
A) 6174
B) 6147
C) 6714
D) 6471
Answer:
A) 6174
Question 90.
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.