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Exponents and powers Index

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Exponents and powers Index

  1. 1. JSTSE (Exponents and Powers) www.AmansMathsBlogs.com JSTSE : PREVIOUS YEARS (Mathematics : Exponents and Powers) 1. If 27x  3 9 x , then x is (a) 0 (c) 1 3 Ans. (b) 2. If 109 5x  209 0 51 , then x is (a) –1 (c) 1 Ans. (b) 3. On simplifying 399 398 we get 3100 399 (a) 3197 (c) 3 2 Ans. (d) 4. Simplifying : 2n 2n 1 we get 2n 1 2n (a) 1 2 (c) 1 2n 12 Ans. (b) (2011) (b) 1 2 (d) 1 (2011) (b) 0 (d) None of the above (2011) (b) 3196 (d) 2 3 (2012) (b) –3 (d) 2 2n 1 3 5. The solution of 33K  5  33K 3  9 is (2012) (a) K = 1 (b) L = –1 (c) K  5 (d) K  1 3 2 Ans. (b) www.AmansMathsBlogs.com
  2. 2. JSTSE (Exponents and Powers) www.AmansMathsBlogs.com 6. Which of the following equal to x? (2013) (a) x11 7 x4 7 (b) x11 7 x7 11 (c) 12 x4 1 3 (d) x4 1 2 Ans. (d)  x 6 y 3  1 2  x 1 y2  1 3 7. if      x a yb , then the value of (a + b + 1) is2 3 3 2  x y   x y  (a) 0 (b) 2 (c) –1 (d) –2 Ans. (a) 8. If 642 x  5  4 8x 5 , then the value of x is (a) 17 (b) 17 9 10 (c) 20 (d) 9 9 17 Ans. (a) 9. If a = b3x , b = c3y and c = a3z , then value of xyz is (a) 27 (b) 1/27 (c) 9 (d) 1/9 Ans. (b) 10. If 52x – 1 – 100 = 25x – 1 , then the value of 6x : (a) 6 (b) 1/6 (c) 36 (d) 1/36 Ans. (c) 11. If 9n  32   3 n / 2 2  27n  1 , then the value of (m – n) is 2733m  2m (a) –1 (b) 1 (c) 2 (d) –2 Ans. (b) 12. If 3 12 x  4 17 , then the value of x is   5  27 (a) –2/7 (b) 2/7 (c) –7/2 (d) 7/2 Ans. (d) www.AmansMathsBlogs.com (2014) (2014) (2014) (2015) (2015) (2015)

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