Number Line and Real Numbers MCQ Question Every point on number line represents: (a) a unique real number (b) a natural number (c) a rational number (d) an irrational number Solution The number line includes all types of numbers: Natural numbers Integers Rational numbers Irrational numbers Together, these form the set of real numbers. Each […]
Non-Terminating Repeating Decimal MCQ Question Which of the following numbers can be represented as non-terminating repeating decimals? (a) \( \frac{39}{24} \) (b) \( \frac{3}{16} \) (c) \( \frac{3}{11} \) (d) \( \frac{137}{25} \) Solution A rational number \( \frac{p}{q} \) has: Terminating decimal if \( q \) has only prime factors 2 and/or 5 Non-terminating
Square Root of Natural Number MCQ Question If \( n \) is a natural number, then \( \sqrt{n} \) is: (a) always a natural number (b) always a rational number (c) always an irrational number (d) sometimes a natural number and sometimes an irrational number Solution If \( n \) is a perfect square (like
Repeating Decimal Rational Number MCQ Question The number \(0.318564318564318564\ldots\) is: (a) a natural number (b) an integer (c) a rational number (d) an irrational number Solution The decimal \(0.318564318564318564\ldots\) has a repeating block: \[ 318564 \] Since the decimal expansion is non-terminating but repeating, it represents a rational number. Also, it is not a natural
Rational Number Identification MCQ Question Which of the following is rational? (a) \( \sqrt{3} \) (b) \( \pi \) (c) \( \frac{4}{0} \) (d) \( \frac{0}{4} \) Solution Option (a): \( \sqrt{3} \) ✘ Irrational Square root of a non-perfect square is irrational. Option (b): \( \pi \) ✘ Irrational \( \pi \) is non-terminating
Which of the following is rational ? (a) √3 (b) π (c) 4/0 (d) 0/4 Read More »
Irrational Number from Decimal Expansion MCQ Question Which of the following is irrational? (a) 0.14 (b) 0.1416 (c) 0.1416 (d) 0.1014001400014.. Solution Option (a): 0.14 ✘ Rational Terminating decimal → rational number. Option (b): 0.1416 ✘ Rational Terminating decimal → rational number. Option (c): 0.1416 ✘ Rational Same as above → rational number. Option (d):
Irrational Number Identification MCQ Question Which of the following is irrational? (a) \( \sqrt{\frac{4}{9}} \) (b) \( \frac{4}{5} \) (c) \( \sqrt{7} \) (d) \( \sqrt{81} \) Solution Option (a): \( \sqrt{\frac{4}{9}} \) \[ \sqrt{\frac{4}{9}} = \frac{2}{3} \] ✔ Rational Option (b): \( \frac{4}{5} \) ✔ Rational It is already in fraction form. Option (c):
Which of the following is irrational? (a) √(4/9) (b) 4/5 (c) √7 (d) √81 Read More »
Rational and Irrational Number Properties MCQ Question Which of the following statements is true? (a) Product of two irrational numbers is always irrational (b) Product of a non-zero rational and an irrational number is always irrational (c) Sum of two irrational numbers can never be irrational (d) Sum of an integer and a rational number
Rational and Irrational Numbers Properties MCQ Question Which of the following is a correct statement? (a) Sum of two irrational numbers is always irrational (b) Sum of a rational and irrational number is always an irrational number (c) Square of an irrational number is always a rational number (d) Sum of two rational numbers can
Sum of Two Irrational Numbers MCQ Question Which one of the following statements is true? (a) The sum of two irrational numbers is always an irrational number (b) The sum of two irrational numbers is always a rational number (c) The sum of two irrational numbers may be a rational number or an irrational number