Write true and false. (4)
(a) 7x11x23 is even number. (b) 7x1x23 is. prime number.
(c) HCF of 4,20 and 130 is 10.
Answers
Answer:
a] False, product of odd no. is always odd.
b] False, it has factors more than 2.
c] False, 4 has only 2x2 as its factors, so 10 can't be its HCF.
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a) 7x11x23 is even number .
Answer :-
→ 7 * 11 * 23
checking last digit we get,
→ 7 * 1 * 3
→ 21
→ 1 in last .
so, it will be an odd number .
Hence, 7x11x23 is not an even number.
- False .
(b) 7x1x23 is. prime number.
Answer :-
→ 7 * 1 * 23 .
→ 7 = 1 * 7 = Prime number
→ 23 = 1 * 23 = Prime number .
but
→ 7 * 1 * 23 = 161 .
since 161 has factors 7 and 23 other than 1 and itself . it is not a prime number .
Hence, Statement is False .
(c) HCF of 4,20 and 130 is 10.
Answer :-
Prime factors of 4 , 20 and 130 is ,
→ 4 = 2 * 2
→ 20 = 2 * 2 * 5
→ 130 = 2 * 5 * 13
then,
→ HCF = 2
Hence, given statement is False .
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