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Shahajiraje and Jijabai

Which of the ...

Question

Which of the following statements about the number 1024 is true?

I. 1024 is divisible by 4.
II. 1024 is not divisible by 8.

A

Only statement I is true.

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B

Both statements are true.

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C

Only statement II is true.

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Solution

The correct option is A Only statement I is true.
Using the divisibility by 4 rule, we can see that the last two digits are 24.
4 $\times$ 6 = 24, so 1024 is divisible by 4. Hence, statement I is true.
Using the divisibility by 8 rule, we can see that the last three digits are 024.
8 $\times$ 3 = 24, so, 1024 is divisible by 8. Hence, statement II is false.

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Q. Find the square root of 1024 by division method.

Question 1 (x)
Find the square roots of each of the following numbers by Division method:

1024

X

3

digit numbers divisible by

6

Y

3

digit numbers divisible by

4

, using the digits

0, 1, 2, 3

without repetition. The number of onto functions from

X

Y

Select the statements that are true.

Given an example of a number which is divisible by:
(i) 2 but not by 4.
(ii) 3 but not by 6.
(ii) 4 but not by 8.
(iv) both 4 and 8 but not by 32.

Question 85

In the following question, state whether the given statement is true (T) or false (F).
All numbers which are divisible by 4, may not be divisible by 8.

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