In the following pairs of numbers, check whether the first number in the pair is divisible by the second number. i) 4768 ,3 ii) 5653,2 iii) 5112,9
Answers
Step-by-step explanation:
we know that a number divisible by 6 is divisible by both 2 and 3.
therefore, to check if a number is divisible by 6 we need to check if the number is divisible by 2 and 3 both.
divisible by 2: A number is divisible by 2. if it has any of the digits - 0, 2, 4, 8 or 6 in its one's place.
divisible by 3: If the sum of the digits is a multiple of 3 it is divisible by 3.
i) 297144
divisible by 2: since the number has a digit 4 at its one's place it is divisible by 2.
divisible by 3: if we add 2+9+1+4+4 we get 27 which is a multiple of 3. so, it is divisible by 3.
since the number is divisible by both 2 and 3 it is divisible by 6.
ii) 1258
divisible by 2: since the number has a digit 8 at its one's place it is divisible by 2.
divisible by 3: if we add 1+2+5+8 we get 16 which is not a multiple of 3. so, it is not divisible by 3.
since the number is not divisible by both 2 and 3 it is not divisible by 6.
iii) 4335
divisible by 2: since the number has a digit 5 at its one's place it is not divisible by 2.
divisible by 3: if we add 4+3+3+5 we get 15 which is a multiple of 3. so, it is divisible by 3.
since the number is not divisible by both 2 and 3 it is not divisible by 6.
iv) 61233
divisible by 2: since the number has a digit 3 at its one's place it is not divisible by 2.
divisible by 3: if we add 6+1+2+3+3 we get 15 which is a multiple of 3. so, it is divisible by 3.
since the number is not divisible by both 2 and 3 it is not divisible by 6.
v) 901352
divisible by 2: since the number has a digit 2 at its one's place it is divisible by 2.
divisible by 3: if we add 9+0+1+3+5+2 we get 20 which is not a multiple of 3. so, it is not divisible by 3.
since the number is not divisible by both 2 and 3 it is not divisible by 6.
vi) 438750
divisible by 2: since the number has a digit 0 at its one's place it is divisible by 2.
divisible by 3: if we add 4+3+8+7+5+0 we get 27 which is a multiple of 3. so, it is divisible by 3.
since the number is divisible by both 2 and 3 it is divisible by 6.
vii) 1790184
divisible by 2: since the number has a digit 4 at its one's place it is divisible by 2.
divisible by 3: if we add 1+7+9+0+1+8+4 we get 30 which is a multiple of 3. so, it is divisible by 3.
since the number is divisible by both 2 and 3 it is divisible by 6.
Answer:
Pilavullakandi Thekkeparambil Usha is a retired Indian track and field athlete. She has been associated with Indian athletics since 1979. She is often called the "queen of Indian track and field".
Born: 27 June 1964 (age 56 years), Payyoli
Spouse: V Srinivasan (m. 1991)
Nickname(s): Golden Girl, Payyoli Express
Event(s): Sprints
Awards: Arjuna Award for Athletics, Padma Shri
Books: Golden Girl: The Autobiography of P.T. Usha
Children: Vignesh Ujjwal, Ujjwal Srinivasan