Question

Fill in the blanks
1) HCF of two co-prime numbers is _________.
2) The least value should be given to * so that the number 6342*1 is divisible by 3,
is _____________.
3) The sum of the prime numbers between 60 and 75 is _____________.
4) The prime factorisation of 294 is _______________.
5) HCF of 36 & 63 is ________________.
6) The smallest number which is divisible by 2, 3, 4 and 5 is ______________.
7) The smallest number having five different prime factors is __________.
True /False
8) If a number is divisible by 14, it must be divisible by 7.
9) If ‘a’ and ‘b’ are two co-primes, then their LCM is a × b.
10) If two numbers are divisible by a number then their sum and difference are
also divisible by that number.

Answer 1

Answer:

1. 1
2. 2
3. 268
4. 2×3×7×7
5. 3
6. 60
7. 2310(2×3×5×7×11)
8. a = y×14=y×7×2 so it is divisible by 7
9. As a and b are co-prime and they have no common factor lcm of a and b is a×b
10. Let the two numbers be a and b

a and b both are divisible by z

a = z×q and b = z×p

a+b/z = zq+zp/z = z(q+p)/z = q+p

ab = z²pq/z = zpq

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Answer 2

1

2

268

2×3×7×7

3

60

2310(2×3×5×7×11)

a = y×14=y×7×2 so it is divisible by 7

As a and b are co-prime and they have no common factor lcm of a and b is a×b

Let the two numbers be a and b

a and b both are divisible by z

a = z×q and b = z×p

a+b/z = zq+zp/z = z(q+p)/z = q+p

ab = z²pq/z = zpq