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# Power, Indices and Surds MCQ Question with Answer

## Power, Indices and Surds: Quantitative Aptitude MCQ Question with Answer

Q21. The value of x for which 42x -22x = 12 holds, is:

(a) 2

(b) 3

(c) 1

(d) -1

(e) None of these

 Answer: (c)Solution: $4^{2x}-2^{2x}=12$$\Rightarrow 2^{4x}-2^{2x}=12, Let\,\,2^{2x\,\,}=a$$\therefore a^2-a-12=0$$\Rightarrow \left( a-4 \right) \left( a+3 \right) =0$$\therefore a=\,\,4 or\,\,a=-3; if\,\,a=-3 then\,\,it\,\,complex\,\,number$$\therefore a=4$$\Rightarrow 2^{2x}=2^2$$\Rightarrow x=1 Q22. If 9x – 10.3x + 9 = 0 then x is equal to: (a) 2 or 0 (b) 1 or 3 (c) 1 or 9 (d) 1 or -2 (e) None of these  Answer: (a)Solution: 9^x-10.3^x+9=0$$\Rightarrow 3^{2x}-10.3^x+9=0, Let\,\,3^x=a$$\Rightarrow a^2-10a+9=0$$\Rightarrow \left( a-9 \right) \left( a-1 \right) =0$$\therefore a=9 or\,\,a=1$$\Rightarrow 3^x=3^2\,\,or\,\,3^x=3^0$$\Rightarrow x=2 or\,\,0$

Q23. The value of $\sqrt[3]{x^{12}}+\sqrt{x^6}$is:

(a) x7

(b) x6

(c) x8

(d) x10

(e) None of these

 Answer: (e)Solution: $\sqrt[3]{x^{12}}+\sqrt{x^6}=x^{\frac{12}{3}}+x^{\frac{6}{2}}=\,\,x^4+x^3$

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### Quiz-5: Social Studies and Pedagogy MCQ Questions with Answer

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