Mathematics
Statement I: The place value of 6 in the numbers 126 and 621 is different.
Statement II: The place value of a non-zero digit depends upon the place it occupies in the given number.
Statement I is true but statement II is false.
Statement I is false but statement II is true.
Both Statement I and statement II are true.
Both Statement I and statement II are false.
Answer
Let us first consider Statement I.
In 126, the digit 6 is at the ones place. Place value of 6 = 6 × 1 = 6.
In 621, the digit 6 is at the hundreds place. Place value of 6 = 6 × 100 = 600.
Since 6 ≠ 600, the place values are different.
∴ Statement I is true.
Now let us consider Statement II.
The place value of a non-zero digit depends upon the place it occupies in the given number. This is a fundamental property of the place value system.
∴ Statement II is true.
Thus, both Statement I and Statement II are true.
Hence, option 3 is the correct option.
Related Questions
The greatest 5-digit number formed by the digits 3, 0, 7 is
33077
77730
77330
none of these
In the International place value system, we write 1 billion for
10 lakh
1 crore
10 crore
100 crore
Statement I: Both the face value and the place value of 1 in 531 is 1.
Statement II: The face value of a digit in a number is the digit itself.
Statement I is true but statement II is false.
Statement I is false but statement II is true.
Both Statement I and statement II are true.
Both Statement I and statement II are false.
Statement I: 4560 < 1234
Statement II: Given two numbers, the number having more digits is lesser.
Statement I is true but statement II is false.
Statement I is false but statement II is true.
Both Statement I and statement II are true.
Both Statement I and statement II are false.