secondary school Teacher preparation�9th class math chapter 1
1.) Can we write 0 in the form of p/q?��a. Yes��b. No��c. Cannot be explained��d. None of the above��Answer: a��Explanation: 0 is a rational number and hence it can be written in the form of p/q.
2.) The three rational numbers between 3 and 4 are:��a. 5/2, 6/2, 7/2��b. 13/4, 14/4, 15/4��c. 12/7, 13/7, 14/7��d.11/4, 12/4, 13/4��Answer: b��Explanation: There are many rational numbers between 3 and 4
3.) In between any two numbers, there are:��a. Only one rational number��b. Two rational numbers��c. Infinite rational numbers��d. No rational number��Answer: c
4.) Every rational number is:��a. Whole number��b. Natural number��c. Integer��d. Real number��Answer: d��Explanation: Real number consist of all the rational and irrational numbers. A rational number is a number that is represented in the form of P/Q, where Q is not equal to zero and both P and Q are integers. For example, 1/2 is a rational number, but not a whole number, a natural number or an integer.
5.) √9 is __________ number.��a. A rational��b. An irrational��c. Neither rational nor irrational��d. None of the above��Answer: a��Explanation: √9 = 3��Hence, √9 is a rational number.
6.) Which of the following is an irrational number?��a. √16��b. √(12/3)��c. √12��d. √100��Answer: c��Hence, √12 cannot be simplified to a rational number.
7.) 3√6 + 4√6 is equal to:��a. 6√6��b. 7√6��c. 4√12��d. 7√12��Answer: b��Explanation: 3√6 + 4√6 = (3 + 4)√6 = 7√6
8.) √6 x √27 is equal to:��a. 9√2��b. 3√3��c. 2√2��d. 9√3��Answer: a��Explanation:�� �= (3 × 3)√2��= 9√2
9.) Which of the following is equal to x3?��a. x6 – x3��b. x6.x3��c. x6/x3��d. (x6)3��Answer: c��Explanation: x6/x3 = x6 – 3 = x3
10.) Which of the following is an irrational number?��a. √23��b. √225��c. 0.3796��d. 7.478478��Answer: a��Explanation: √23 = 4.79583152331…��Since the decimal expansion of the number is non-terminating non-recurring. Hence, it is an irrational number.
12.) 2√3+√3 = ��a. 6��b. 2√6��c. 3√3��d. 4√6��Answer: c��Explanation: 2√3+√3 = (2+1)√3= 3√3.
14.) The number obtained on rationalising the denominator of 1/ (√7 – 2) is��a. (√7+2)/3��b. (√7-2)/3��c. (√7+2)/5��d. (√7+2)/45��Answer: a
15.) Which of the following is rational?��a. 4/0��b. 0/4��c. √3��d. π��Answer: b��Explanation: 0/4 is a rational number that is equal to 0. Whereas π and √3 are irrational numbers and 4/0 is undefined.
16.) The irrational number between 2 and 2.5 is ��a. √11��b. √5��c. √22.5��d. √12.5��Answer: b��Explanation: The irrational number between 2 and 2.5 is √5 because the approximate value of √5 is 2. 23606…
17.) The value of √10 times √15 is equal to��a. 5√6��b. √25��c. 10√5��d. √5��Answer: a��Explanation: √10×√15 =(√2.√5)×(√3. √5) = (√5 × √5) (√2 × √3) = 5√6.
18.) The decimal representation of the rational number is��a. Always terminating��b. Either terminating or repeating��c. Either terminating or non-repeating��d. Neither terminating nor repeating��Answer: b��Explanation: As per the definition of rational number, its decimal representation is either terminating or repeating.
19.) Which of the following is a rational number?��a. 0��b. 2√3��c. 2+√3��d. π��Answer: a��Explanation: 0 is a rational number, and it can be written as 0/1 or 0/2 or 0/3 etc. Whereas 2√3, 2+√3, and π are irrational numbers.
20.) Which of the following is an irrational number?��a. √(4/9)��b. √12/√3��c. √7��d. √81��Answer: c��Explanation: √7 is an irrational number. Because other options given are simplified into a rational number.�� � � �