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Indices and Surds Practice Problems: Level 01
Solve the given practice questions based on surds and indices. Also, the answer key and explanations are given for the same.
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Directions:
Solve the following questions applying the various surds and indices formulas.
Q.1.
Simplify :[image]
a) 7/16
b) 7/4
c) 49/2
d) 7/2
Answer & Explanation
Sol : Option D
Explanation:
[image]
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Q.2.
Simplify:- [image]
a) 9
b) 27
c) 81
d) None of the Above
Answer & Explanation
Sol : Option B
Explanation:
[image]
Q.3.
5
2x-2
=625, find x
a) 1
b) 2
c) 3
d) 4
Answer & Explanation
Sol : Option C
Explanation:
5
2x-2
= 625
⇒5
2x-2
= 5
4
⇒2x-2 = 4
⇒x = 3
Q.4.
[image]
a) 2940
b) 2490
c) 2049
d) None of these
Answer & Explanation
Sol : Option A
Explanation:
[image]
Q.5.
[image] ,find value of x.
a) 1
b) 2
c) 3
d) 4
Answer & Explanation
Sol : Option A
Explanation:
[image]
⇒ 5x - 3 = 2 ⇒ 5x = 5
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Surds and Indices: Theory & Concepts
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Indices and Surds Practice Problems: Level 01
Q6.
[image] ,find value of x.
a) 2
b) 4
c) 6
d) 8
Answer & Explanation
Sol : Option A
Explanation:
[image]
⇒ 2x - 4 = -2x + 4
⇒ 4x = 4 + 4
⇒ 4x = 8
⇒ x = 2
Q.7.
If 17
x
= 4913, find the value of 2
2x-1
.
a) 16
b) 32
c) 64
d) 128
Answer & Explanation
Sol : Option B
Explanation:
17
x
= 4913
⇒17
x
= 4913
⇒17
x
= (17)
3
⇒x = 3
Value of 2
2x-1
⇒ 2
2.3-1
⇒ 2
5
= 32
Q8.
Simplify:- [image]
a) 1
b) 2
c) 3
d) None Of These
Answer & Explanation
Sol : Option D
Explanation:
[image]
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Q9.
If 5
2x
= 15625, find x
2
.
a) 9
b) 27
c) 81
d) None of these
Answer & Explanation
Sol : Option A
Explanation:
5
2x
= 15625
⇒ 5
2x
= 5
6
⇒ 2x = 6
⇒ x = 3
Value of x
2
= 3
2
= 9
Q10.
If [image] , find x
a) 3/2
b) 2
c) 5/2
d) None of these
Answer & Explanation
Sol : Option C
Explanation:
[image]
⇒ 4x - 9 = 1
⇒ 4x = 10
x = 5/2
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