Number 89623
Assertion (A): The sum of place values of digits 6 and 2 is 620.
Reason (R): The required sum = 600 + 2 = 602.
A is true, R is false.
A is false, R is true.
Both A and R are true.
Both A and R are false.
Answer
Assertion (A) : In 89623, the digit 6 is at the hundreds place, so its place value = 600, and the digit 2 is at the tens place, so its place value = 20. Their sum = 600 + 20 = 620. So, A is true.
Reason (R) : The reason takes the place value of 2 as 2 and writes the sum as 600 + 2 = 602. But the place value of 2 is 20, not 2. So, R is false.
So, A is true and R is false.
Hence, option 1 is the correct option.
Assertion (A): In the number 709, the sum of place value and face value of 0 is 0.
Reason (R): The place value of a digit depends upon the position it occupies in the number, however the face value of a digit is always the digit itself regardless of the place it occupies in the given number.
A is true, R is false.
A is false, R is true.
Both A and R are true.
Both A and R are false.
Answer
Assertion (A) : In 709, the digit 0 is at the tens place, so its place value = 0 × 10 = 0, and its face value = 0. Sum = 0 + 0 = 0. So, A is true.
Reason (R) : The place value of a digit depends on its position in the number, whereas the face value of a digit is always the digit itself, irrespective of its position. This is a correct statement, so R is true.
So, both A and R are true.
Hence, option 3 is the correct option.