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1. JSTSE (Exponents and Powers)
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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)
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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)
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