Consider the number $N = 87 a 27931 b$ , where $b$ is a digit at unit's place and $a$ is a digit at ten lakh's place. Answer the following questions.
The least value of $a$ for which $N$ is divisible by $12$ is

0

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2

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4

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6

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Solution

The correct option is A $2$
$\begin{matrix} F o r n u m b e r t o b e d i v i s i b l e b y 12, i t m u s t b e d i v i s i b l e b y 3 & 4 b o t h T o m a k e b y 4, s o, l a s t (b) d i g i t i s 2 o r 6. T o m a k e i t d i v i s i b l e b y 3, s u m o f d i g i t i s d i v i s i b l e b y 3. S o, l e a s t v a l u e o f a i s 8 + 7 + a + 2 + 7 + 9 + 3 + 1 + b = 37 + a + b I f b = 2, t h e n, a = 3 f o r d i v i s i b l e b y 3 b u t i f b = 6 t h e n a = 2 f o r d i v i s i b l e b y 3 ∴ l e a s t v a l u e o f a i s 2. \end{matrix}$

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Similar questions

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Question 167

In a five-digit number, digit at ten's place is 4, digit at unit's place is one - fourth of ten's place digit, digit at hundred's place is 0, digit at thousand's place is 5 times of the digit at unit's place and ten thousand's place digit is double the digit at ten's place. Write the number.

Q. In a five-digits number, digit at ten's place is

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0,

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4

times of the digit at unit's place and ten thousand's place digit is triple the digit at ten's place. Then the number is:

Q. In a four-digit number, digit at ten's place is 4, digit at unit's place is one - fourth of ten's place digit, digit at hundred's place is 0, digit at thousand's place digit is double the digit at ten's place. Write the number.

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Consider the number N=8 7 a 2 7 9 3 1 b, where b is a digit at unit's place and a is a digit at ten lakh's place. Answer the following questions. The least value of a for which N is divisible by 12 is

The correct option is A 2Fornumbertobedivisibleby12,itmustbedivisibleby3&4bothTomakeby4,so,last(b)digitis2or6.Tomakeitdivisibleby3,sumofdigitisdivisibleby3.So,leastvalueofais8+7+a+2+7+9+3+1+b=37+a+bIfb=2,then,a=3fordivisibleby3butifb=6thena=2fordivisibleby3∴leastvalueofais2.

Consider the number $N = 87 a 27931 b$ , where $b$ is a digit at unit's place and $a$ is a digit at ten lakh's place. Answer the following questions.
The least value of $a$ for which $N$ is divisible by $12$ is