. താഴെ കൊടുത്ത സംഖ്യകളിൽ 12-ന്റെ ഗുണിതം ഏത് ? A) 3816 (B) 3247 (C) 3649 (D)3347
Answers
Question in English:-
In which of the following numbers is a multiple of 12?
(A) 3816
(B) 3247
(C) 3649
(D) 3347
Solution 1:-
From the given numbers we need to find the multiple of 12, so the answer should be an even number since 12 is an even number.
Among the options, only (A) 3816 is even and others are odd. So possibly we can go for option (A).
Solution 2:-
A number is exactly divisible by 12 if and only if it is exactly divisible by both 3 and 4, since 3 × 4 = 12.
→ For a number being exactly divisible by 3, the sum of the digits of the number should be a multiple of 3.
→ For a number being exactly divisible by 4, the number obtained by joining the last two digits of the number should be a multiple of 4.
Hence, for a number being exactly divisible by 12,
- the sum of the digits of the number should be a multiple of 3.
- the number obtained by joining the last two digits of the number should be a multiple of 4.
If the number is not a multiple of 12, atleast one of the two conditions should not be true.
Consider (A) 3816.
3 + 8 + 1 + 6 = 18 is a multiple of 3.
16 is a multiple of 4.
Hence 3816 is a multiple of 12.
Consider (B) 3247.
47 is not a multiple of 4.
Hence 3247 is not a multiple of 12.
Consider (C) 3649.
49 is not a multiple of 4.
Hence 3649 is not a multiple of 12.
Consider (D) 3347.
47 is not a multiple of 4.
Hence 3347 is not a multiple of 12.
Hence the correct answer is (A) 3816.