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Subjects
Class 10MathematicsPolynomialsRepresenting real numbers on the number lineExpertLevel 51
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If c(csqrt{n}c) lies between 8.4 and 8.5 on the number line, which value of n can be correct?

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Answer and explanation

Correct answer: 71

Since 8.4 and 8.5 are positive, squaring the inequality gives c(8.4c)^2<n<c(8.5c)^2. Thus, 70.56<n<72.25, and among the given options only 71 lies in this interval. 70 is below the interval and 73 is above it. Exam tip: when a square root lies between positive numbers, square both endpoints to find the range of the number under the root.

Related tags

Number LinePolynomialsSquare RootsRoot InequalitiesReal Numbers

Frequently asked questions

What is the correct answer to this question?

71

Why is this the correct answer?

Since 8.4 and 8.5 are positive, squaring the inequality gives c(8.4c)^2<n<c(8.5c)^2. Thus, 70.56<n<72.25, and among the given options only 71 lies in this interval. 70 is below the interval and 73 is above it. Exam tip: when a square root lies between positive numbers, square both endpoints to find the range of the number under the root.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Polynomials. Topic: Representing real numbers on the number line.

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10 more MCQs
  1. 1Which number lies to the right of (0) on the number line?
  2. 2Which number lies to the left of 0 on the number line?
  3. 3Which number lies between 2 and 3 on the number line?
  4. 4Between which two integers does (\frac{1}{2}) lie on the number line?
  5. 5What is the distance between 4 and 6 on the number line?
  6. 6Which of the following numbers is irrational and can be represented by a unique point on the number line?
  7. 7Which number is to the right on the number line between (-5) and (-2)?
  8. 8Which of the following fractions is equal to \\(1.25\\) on the number line?
  9. 9To represent (\frac{3}{4}) on the number line, into how many equal parts should the segment from (0) to (1) be divided?
  10. 10Between which two integers does (\frac{7}{4}) lie on the number line?
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