MCQ practice · SSC Higher Mathematics Board questions · Chapter 7: Infinite Series
What will be 1.25̇ as a rational fraction?
Think it through first, then pick an option.
- a 113/9
- b 113/89
- c 113/90
- d 113/999
Answer and explanation
Correct answer: c 113/90
1.25̇ = 1.2 + 0.05/0.9 = 6/5 + 1/18 = 113/90.
Why the other options are wrong
- a 113/9: 113/9 ≈ 12.6, but the number is about 1.26.
- b 113/89: 113/89 ≈ 1.27 but the denominator 89 does not follow the 9s-and-0s rule; it is 90.
- d 113/999: 113/999 ≈ 0.113, but the number is more than 1.
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