Mathematics
The number 3z4 is divisible by 9, if the digit z is equal to :
7
2
9
none of these
Number Play
4 Likes
Answer
According to the divisibility of 9, if the sum of the digits of the number is divisible by 9 then the number is divisible by 9.
∵ 3z4 is divisible by 9
⇒ 3 + z + 4 is divisible by 9
⇒ 7 + z is divisible by 9
⇒ 7 + z = 0 , 9 , 18 , 27 , 36, ……………
⇒ z = -7 , 2 , 11 , 20, ……………
Since z is a digit. So, z = 2.
Hence, option 2 is the correct option.
Answered By
1 Like
Related Questions
Without actual calculation, the quotient when 74 – 47 is divided by 9, is :
11
7
3
none of these
The smallest two digit number 10a + 4 is divisible by 6, if a + 4 is divisible by :
2
6
3
none of these
Statement 1: When the sum of a two - digit number and the number obtained by reversing its digit is divided by 11, the quotient is equal to the sum of two digits.
Statement 2: When the sum of a two digit number and the number obtained by reversing its digit is divided by the sum of the two digit, the quotient is always 11.
Which of the following options is correct ?
Both the statements are true.
Both the statements are false.
Statement 1 is true, and statement 2 is false.
Statement 1 is false, and statement 2 is true.
Assertion (A) : 759 = 100 x 7 + 10 x 5 + 1 x 9.
Reason (R) : In a three-digit number 100p + 10q + 1r, the digit p at hundred's place is any whole number from 0 to 9, the digit q at ten's place is any whole number from 0 to 9 and the digit r at unit place is any whole number from 0 to 9.
Both A and R are correct, and R is the correct explanation for A.
Both A and R are correct, and R is not the correct explanation for A.
A is true, but R is false.
A is false, but R is true.