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MATHS [2 Mark Question Answer]

Playing with Numbers · ICSE STD 8 (ICSE - English Medium). 3 questions.

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[2 Mark Question Answer]

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3 questions · timed · auto-graded

Question 12 Marks
$42 \times 8$ divisible by $4$?
Answer
$42\times 8$ is divisible by $ 4$
$\Rightarrow 4 + 2 + x + 8$ is a multiple of $2$
$\Rightarrow 14 + x = 0, 2, 4, 6, 8,$
$\Rightarrow x = -8, -6, -4, -2, 2, 4, 6, 8,$
Since, $x $ is a digit $2, 4, 6, 8$
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Question 22 Marks
$28\times 6$ a multiple of $3$?
Answer
$28\times 6 $ is a multiple of $3$
$2 + 8+ x + 6$ is a multiple of $3$
$\Rightarrow 16 + x = 0, 3, 6, 9, 12, 15, 18$
$\Rightarrow x = -18, -5, -2, 0, 2, 5, 8$
Since, $x$ is a digit $= 2, 5, 8$
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Question 32 Marks
Which of the following numbers are divisible by $11 :(i) \ 2563\ (ii)\  8307\ (iii)\  95635$
Answer
A number is divisible by $11 $ if the difference of the sum of digits at the odd places and sum of the digits at even places is zero or divisible by $11.$
So, $2563$ is divisible by $11.$
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[2 Mark Question Answer] - MATHS STD 8 Questions - Vidyadip