Playing with Numbers - ICSE STD 6 MATHS Questions

Q 1[2 Mark Question Answer]2 Marks

Find the smallest number which when divided by 15, 20, 25 and 30 leaves 5 as remainder in each case.

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Q 2[2 Mark Question Answer]2 Marks

Find the least number which is exactly divisible by each of the numbers 15,18 and 24.

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Q 3[2 Mark Question Answer]2 Marks

Can there be two numbers having H.C.F. 12 and L.C.M. 64? Give reasons in support of your answer.

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Q 4[2 Mark Question Answer]2 Marks

The product of two numbers is 3750 and their L.C.M. is 150. Find their H.C.F.

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Q 5[2 Mark Question Answer]2 Marks

The product of two numbers is 2925 and their H.C.F. is 15. Find their L.C.M.

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Q 6[3 marks sum]3 Marks

Find the H.C.F. of the following number use long division method : 147, 210, 294

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Q 7[3 marks sum]3 Marks

Find the H.C.F. of the following number use long division method : 112, 140, 168

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Q 8[3 marks sum]3 Marks

Find the H.C.F. of the following number use long division method : 60, 96, 150

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Q 9[3 marks sum]3 Marks

Find the H.C.F. of the following number use long division method : 605, 935

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Q 10[3 marks sum]3 Marks

Find the H.C.F. of the following number use long division method : 575, 920

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Q 11[4 marks sum]4 Marks

Find the L.C.M. of the following, use common division method : 175, 182, 350

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Q 12[4 marks sum]4 Marks

Find the L.C.M. of the following, use common division method : 120, 210, 225

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Q 13[4 marks sum]4 Marks

Find the L.C.M. of the following, use common division method : 16, 18, 24, 32, 36

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Q 14[4 marks sum]4 Marks

Find the L.C.M. of the following, use common division method : 21, 45, 63, 81

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Q 15[4 marks sum]4 Marks

Find the L.C.M. of the following, use common division method : 20, 25, 30, 45

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Q 16Fill in the blanks.1 Mark

Write the smallest number having three different prime factors. _________

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Q 17Fill in the blanks.1 Mark

Is 65781 divisible by 9 ? _________

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Q 18Fill in the blanks.1 Mark

If HCF of two numbers is 1, then these numbers are called _________

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Q 19Fill in the blanks.1 Mark

LCM of two numbers = Product of the given numbers

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Q 20Fill in the blanks.1 Mark

All the factors of 20 are _________

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Q 21TRUE / FALSE1 Mark

The smallest number of 4 digits exactly divisible by 2, 3 and 5 is 1020.

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Q 22TRUE / FALSE1 Mark

If $a$ and $b$ are co-prime, then their LCM is $a b$.

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Q 23TRUE / FALSE1 Mark

Every number is a multiple of itself.

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Q 24TRUE / FALSE1 Mark

Two numbers are co-prime only when their HCF is 1.

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Q 25TRUE / FALSE1 Mark

A prime number has exactly two factors.

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Q 26MCQ1 Mark

The HCF of 147, 210 and 294 is

A
7
B
14
C
28
✓
21

Answer: D.

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Q 27MCQ1 Mark

The HCF of 72, 90 and 96 is

A
18
B
12
✓
6
D
9

Answer: C.

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Q 28MCQ1 Mark

Which of the following is a pair of co-primes?

A
13, 91
B
23, 46
✓
19, 20
D
63, 84

Answer: C.

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Q 29MCQ1 Mark

Which of the following is a composite number?

A
23
B
29
✓
87
D
97

Answer: C.

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Q 30MCQ1 Mark

Which of the following is a prime number?

A
81
B
87
C
91
✓
97

Answer: D.

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Playing with Numbers MATHS - Playing with Numbers

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