Find the value of A- if 42 A 8 is divisible by 4A- 3B- 4C- 6D- 12

The correct options are B 4 C 6 42A8 is divisible by 4 ⇒ A8 is divisible by 4 ⇒ 10×A + 8 is divisible by 4 with unit digit 8 ⇒ 10A + 8 = 8, 28, 48,68,88,108 ...

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Standard VIII

Mathematics

Reversing the 2 Digit Numbers and Adding Them

Find the valu...

Question

Find the value of A , if 42A8 is divisible by 4

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Solution

The correct options are
B
4

C
6

42A8 is divisible by 4

$\Rightarrow$ A8 is divisible by 4

$\Rightarrow$ 10\times A + 8 is divisible by 4 with unit digit 8

$\Rightarrow$ 10A + 8 = 8, 28, 48,68,88,108 ................

$\Rightarrow$ 10A = 4, 20, 40,60,80,100...........

$∴$ A = 0,2,4,6,8

Hence A = 2, 6

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Find the value of A , if 42A8 is divisible by 4

The correct options are B 4 C 6 42A8 is divisible by 4 ⇒ A8 is divisible by 4 ⇒ 10\times A + 8 is divisible by 4 with unit digit 8 ⇒ 10A + 8 = 8, 28, 48,68,88,108 ................ ⇒ 10A = 4, 20, 40,60,80,100........... ∴ A = 0,2,4,6,8 Hence A = 2, 6