Which option is correct for G={x: x is a power of 10 less than 100}?
Answer and explanation
Correct answer: G={1,10}
Using nonnegative integer exponents, the relevant powers are 10⁰=1, 10¹=10, and 10²=100. The condition x<100 includes 1 and 10 but excludes 100, so G={1,10}. Zero is not the value of 10⁰; it is the exponent in that expression. Therefore option A is correct, while the other choices include the boundary or an invalid value.
Frequently asked questions
What is the correct answer to this question?
G={1,10}
Why is this the correct answer?
Using nonnegative integer exponents, the relevant powers are 10⁰=1, 10¹=10, and 10²=100. The condition x<100 includes 1 and 10 but excludes 100, so G={1,10}. Zero is not the value of 10⁰; it is the exponent in that expression. Therefore option A is correct, while the other choices include the boundary or an invalid value.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Common Questions. Topic: General chapter practice.
