question_answer1) Which of the following numbers have terminating decimal expansion?
A) \[\frac{8}{225}\] done clear
B) \[\frac{5}{18}\] done clear
C) \[\frac{11}{21}\] done clear
D) \[\frac{21}{150}\] done clear
View Solution play_arrowA) 1 done clear
B) 2 done clear
C) 3 done clear
D) 4 done clear
View Solution play_arrowA) \[\frac{2\sqrt{2}}{3}\] done clear
B) 1 done clear
C) \[\frac{2\sqrt{3}}{3}\] done clear
D) \[\frac{4}{3}\] done clear
View Solution play_arrowquestion_answer4) \[1.22\overline{4}\]can be expressed as a fraction in simplest form as ____.
A) \[\frac{450}{551}\] done clear
B) \[\frac{1224}{1000}\] done clear
C) \[\frac{551}{450}\] done clear
D) \[\frac{1000}{1224}\] done clear
View Solution play_arrowquestion_answer5) Given that H.C.F. (306, 954, 1314) = 18, find L.C.M. (306, 954, 1314).
A) 1183234 done clear
B) 1123238 done clear
C) 1183914 done clear
D) 1123328 done clear
View Solution play_arrowA) 121 done clear
B) 171 done clear
C) 116 done clear
D) 198 done clear
View Solution play_arrowquestion_answer7) The descending order of the surds \[\sqrt[3]{2},\sqrt[6]{3},\sqrt[9]{4}\]is,__
A) \[\sqrt[6]{4},\sqrt[6]{3},\sqrt[3]{2}\] done clear
B) \[\sqrt[9]{4},\sqrt[3]{2},\sqrt[6]{3}\] done clear
C) \[\sqrt[3]{2},\sqrt[6]{3},\sqrt[9]{4}\] done clear
D) \[\sqrt[6]{3},\sqrt[9]{4},\sqrt[3]{2}\] done clear
View Solution play_arrowquestion_answer8) The product of two consecutive natural numbers is always ____-
A) An even number done clear
B) An odd number done clear
C) A prime number done clear
D) Divisible by 3 done clear
View Solution play_arrowA) 0 done clear
B) 1 done clear
C) 2 done clear
D) 4 done clear
View Solution play_arrowquestion_answer10) The 100th root of \[{{10}^{({{10}^{10}})}}\] is ___.
A) \[{{10}^{{{8}^{10}}}}\] done clear
B) \[{{10}^{{{10}^{8}}}}\] done clear
C) \[{{\left( \sqrt{10} \right)}^{{{\left( \sqrt{10} \right)}^{10}}}}\] done clear
D) \[{{10}^{{{\left( \sqrt{10} \right)}^{\sqrt{10}}}}}\] done clear
View Solution play_arrowA) \[\frac{{{a}^{2}}}{{{b}^{2}}}\] done clear
B) \[\frac{{{b}^{2}}}{{{a}^{2}}}\] done clear
C) \[\frac{a}{b}\] done clear
D) \[\frac{2(2{{a}^{2}}-{{b}^{2}})}{{{b}^{2}}}\] done clear
View Solution play_arrowquestion_answer12) The rationalizing factor of \[\sqrt[7]{{{x}^{3}}{{y}^{5}}{{z}^{2}}}\] is __.
A) \[\sqrt[7]{{{z}^{5}}{{y}^{2}}{{x}^{4}}}\] done clear
B) \[\sqrt[47]{{{x}^{3}}{{y}^{2}}z}\] done clear
C) \[\sqrt{{{x}^{4}}{{y}^{2}}{{z}^{5}}}\] done clear
D) \[\sqrt[3]{{{y}^{2}}{{x}^{4}}{{z}^{3}}}\] done clear
View Solution play_arrowquestion_answer13) Which of the following is an irrational number?
A) \[\pi \] done clear
B) \[\frac{22}{7}\] done clear
C) Both (a) and (b) done clear
D) Neither (a) nor (b) done clear
View Solution play_arrowA) Terminating decimal expansion done clear
B) Non-terminating decimal expansion done clear
C) Repeating decimal expansion done clear
D) Both (b) and (c) done clear
View Solution play_arrowA) b divides p done clear
B) \[{{b}^{2}}\]divides p done clear
C) p divides b done clear
D) None of these done clear
View Solution play_arrowA) 20 done clear
B) 25 done clear
C) 28 done clear
D) 30 done clear
View Solution play_arrowA) 1109 done clear
B) 1102 done clear
C) 1100 done clear
D) 1120 done clear
View Solution play_arrowA) 553681 done clear
B) 555181 done clear
C) 555681 done clear
D) 556581 done clear
View Solution play_arrowA) 8 done clear
B) 17 done clear
C) 64 done clear
D) 136 done clear
View Solution play_arrowA) 12 midnight done clear
B) 3a.m. done clear
C) 6a.m. done clear
D) 9a.m. done clear
View Solution play_arrowquestion_answer21) Which of the following statements is INCORRECT?
A) For natural numbers a and b, if a divides \[{{b}^{2}}\]then a divides b. done clear
B) For any natural number \[n,\,\sqrt{n-1}+\sqrt{n+1}\]is irrational. done clear
C) Product of distinct prime numbers is always equal to their L.C.M. done clear
D) For any natural number n, \[{{6}^{n}}\] never ends with digit zero. done clear
View Solution play_arrowquestion_answer22) Fill in the blanks.
(i) Every point on the number line is a P number which may either Q or R. |
(ii) S numbers have either terminating or non-terminating repeating decimal expansion. |
A)
P | Q | R | S |
Real | Integer | Natural | Irrational |
B)
P | Q | R | S |
Rational | Integer | Real | Irrational |
C)
P | Q | R | S |
Irrational | Rational | Integers | Natural |
D)
P | Q | R | S |
Real | Rational | irrational | Rational |
question_answer23) Match the following.
Column-l | Column-II |
(P) Rational form of \[0.\overline{32}\]is | (i) \[\frac{14}{55}\] |
(Q) Rational form of \[0.\overline{254}\]is | (ii) \[\frac{11}{45}\] |
(R) Rational form of \[0.\overline{12}\]is | (iii) \[\frac{32}{99}\] |
(S) Rational form of \[0.\overline{24}\]is | (iv) \[\frac{11}{90}\] |
A) (P)\[\to \](iii);(Q)\[\to \](iv);(R)\[\to \](i);(S)\[\to \](ii) done clear
B) (P)\[\to \](iv);(Q)\[\to \](i);(R)\[\to \](ii);(S)\[\to \](iii) done clear
C) (P)\[\to \](iii);(Q)\[\to \](i);(R) \[\to \](iv);(S)\[\to \](ii) done clear
D) (P)\[\to \](i);(Q)\[\to \](iii);(R)\[\to \](iv);(S)\[\to \](ii) done clear
View Solution play_arrowA)
A | B |
4 | 14 |
B)
A | B |
3 | 10 |
C)
A | B |
4 | 10 |
D)
A | B |
3 | 15 |
question_answer25) Read the statements carefully and state 'T for true and 'F' for false.
(i) \[\frac{501}{25}\] is a terminating decimal, |
(ii) \[\frac{621}{125}\] is a non-terminating decimal. |
(iii) \[\frac{6805}{27\times {{5}^{2}}}\] is a non-terminatina decimal. |
(iv) \[\frac{7105}{7\times {{5}^{2}}}\] is a terminating decimal, |
A)
i-F | ii-T | iii-T | iv-F |
B)
i-T | ii-F | iii-T | iv-T |
C)
i-T | ii-T | iii-F | iv-F |
D)
i-F | ii-T | iii-F | iv-T |
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