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Standard XII

Mathematics

General Tips for Choosing Function

If the produc...

Question

If the product of two integers is $2^{5} . {3.5}^{2} . 7^{3}$ , then their sum can be

Divisible by

8

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Divisible by

3

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Divisible by

5

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Divisible by

49

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Solution

The correct option is A Divisible by $5$
$2^{5} \cdot 3 \cdot 5^{2} \cdot 7^{3} = 32 \times 3 \times 25 \times 343 = 823200$
So $,$ in order to get the multiple as $823200$
Two number must have sum which is the multiple of $5.$

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Similar questions

Q. Write (T) for true and (F) for false against each of the following statements:
(i) If a number is divisible by 4, it must be divisible by 8.
(ii) If a number is divisible by 8, it must be divisible by 4.
(iii) If a number divides the sum of two numbers exactly, it must exactly divide the numbers separately.
(iv) If a number is divisible by both 9 and 10, it must be divisible by 90.
(v) A number is divisible by 18 if it is divisible by both 3 and 6.
(vi) If a number is divisible by 3 and 7, it must be divisible by 21.
(vii) The sum of two consecutive odd numbers is always divisible by 4.
(viii) If a number divides two numbers exactly, it must divide their sum exactly.

Q. If 148 and 224 are divisible by 4, then their sum is divisible by .

Q. Number of

4

digit positive integers, if the product of their digits is divisible by

3

, is

Which of the following statements are true?

(a) If a number is divisible by 3, it must be divisible by 9.

(b) If a number is divisible by 9, it must be divisible by 3.

(d) If a number is divisible by 9 and 10 both, then it must be divisible by 90.

(e) If two numbers are co-primes, at least one of them must be prime.

(f) All numbers which are divisible by 4 must also be divisible by 8.

(g) All numbers which are divisible by 8 must also be divisible by 4.

(h) If a number exactly divides two numbers separately, it must exactly divide their sum.

(i) If a number exactly divides the sum of two numbers, it must exactly divide the two numbers separately.

Question 1

Which of the following statements are true:
(a) If a number is divisible by 3, it must be divisible by 9.
(b) If a number is divisible by 9, it must be divisible by 3.
(c) If a number is divisible by 18, it must be divisible by both 3 and 6.
(d) If a number is divisible by 9 and 10 both, then it must be divisible by 90.
(e) If two numbers are co-primes, at least one of them must be prime.
(f) All numbers which are divisible by 4 must also be divisible by 8.
(g) All numbers which are divisible by 8 must also be divisible by 4.
(h) If a number exactly divides two numbers separately, it must exactly divide their sum.
(i) If a number exactly divides the sum of two numbers, it must exactly divide the two numbers separately.

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If the product of two integers is 25.3.52.73, then their sum can be

The correct option is A Divisible by 525⋅3⋅52⋅73=32×3×25×343=823200So, in order to get the multiple as 823200Two number must have sum which is the multiple of 5.

If the product of two integers is $2^{5} . {3.5}^{2} . 7^{3}$ , then their sum can be

The correct option is A Divisible by $5$
$2^{5} \cdot 3 \cdot 5^{2} \cdot 7^{3} = 32 \times 3 \times 25 \times 343 = 823200$
So $,$ in order to get the multiple as $823200$
Two number must have sum which is the multiple of $5.$