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video lectures for basic math
Question 1: Can we write `0` in the form of ` \frac{p}{q} `?
a. Yes
b. No
c. It cannot be explained
d. None of the above
Question 2: In between any two numbers there are:
a. Only one rational number
b. Many rational numbers
c. Infinite rational numbers
d. No rational number
Question 3: Every rational number is:
a. Whole number
b. Natural number
c. Integer
d. Real number
Question 4: ` \sqrt{9} ` is a __________ number.
a. Rational
b. Irrational
c. Neither rational no irrational
d. None of the above
Question 5: Which of the following is an irrational number?
a. `\sqrt{16}`
b. `\sqrt{\frac{12}{3}}`
c. `\sqrt{12}`
d. `\sqrt{100}`
Question 6: `3\sqrt{6}`+`4\sqrt{6}` is equal to:
a. 6`\sqrt{6}`
b.7`\sqrt{6}`
c. 4`\sqrt{12}`
d. 7`sqrt{12}`
Question 7: `\sqrt{6}\times\sqrt{27}` is equal to:
a. 9`\sqrt{2}`
b. 3`\sqrt{3}`
c. 2`\sqrt{2}`
d. 9`\sqrt{3}`
Question 8: Which of the following is equal to `x^{3}` ?
a. `x^{6}`-`x^3`
b. `x^{6}\cdot x^{3}`
c. `\frac{x^6}{x^3}`
d. `\left( x^{6} \right)^3`
Question 9: Which of the following are irrational numbers?
a. `\sqrt{23}`
b. `\sqrt{225}`
c. `0.3796`
d. `7.478478`
Question 10: The product of a rational and an irrational number is:
a) Always an integer
b) Always a rational number
c) Always an irrational number
d) Sometimes rational and sometimes irrational
Question 11: A rational number between `\sqrt{2}` and `\sqrt{3}` :
a) `1.9`
b) `\frac{\left( \sqrt{2}\cdot\sqrt{3}\right)}{2}`
c) `1.5`
d) `1.8`
Question 12: Which of the following is irrational?
a) `\sqrt{\frac{4}{9}}`
b) `\frac{\sqrt{12}}{\sqrt{3}}`
c) `\sqrt{5}`
d) `\sqrt{81}`
Question 13: `4\sqrt{5}` + `5\sqrt{5}` is equal to
a) `9\sqrt{5}`
b) `9\sqrt{10}`
c) `5\sqrt{10}`
d) `7\sqrt{5}`
Question 14: Which of the following is irrational?
a) `0.40140014000….`
b) `0.14`
c) `0\overline{.1416}`
d) `0.14\overline{16}`
Question 15: In between two rational numbers there is/are:
a) Exactly one rational number
b) Infinitely many rational numbers
c) Many irrational numbers
d) Only irrational numbers
Question 16: What would be the denominator after rationalizing `\frac{7}{5\sqrt{3}-5\sqrt{2}}` ?
a) `19`
b) `20`
c) `25`
d) None of these
Question 17: Value of `256^{0.16}\times256^{0.09}` is:
a) `4`
b) `16`
c) `64`
d) `256.25`
Answer key
Q 1 (a) Q 9 (a) Q 17 (a)
Q 2 (c) Q 10 (c)
Q 3 (d) Q 11 (c)
Q 4 (a) Q 12 (c)
Q 5 (c) Q 13 (a)
Q 6 (b) Q 14 (a)
Q 7 (a) Q 15 (b)
Q 8 (c) Q 16 (d)
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