# Exponents And Surds Questions and Answer Set 1

Hi students, welcome to **Amans Maths Blogs (AMB)**. On this post, you will get the Exponents And Surds Questions and Answer Set 1 is the collection of some important questions. Practice these questions for SSC CGL CHSL CAT NTSE exams etc. It will help you to practice the questions on the topics of maths as exponents and surds based questions of algebra.

**Exponents And Surds Questions and Answer Set 1: Ques No 1**

The expression can be rewritten as

**Options:**

A. x^{12/16}

B. x^{15/16}

C. x^{24/16}

D. x^{31/16}

**Answer: D**

**Exponents And Surds Questions and Answer Set 1: Ques No 2**

If 10^{0.48} = *x*, 10^{0.70} = *y* and *x*^{z} = *y*^{2}, then the value of *z* is

**Options:**

A. 35/10

B. 25/36

C. 35/12

D. 27/16

**Answer: C**

**Exponents And Surds Questions and Answer Set 1: Ques No 3**

The simplification of is

**Options:**

A. 1

B. 2

C. (b – a)/(a – b)

D. 1/ab

**Answer: C**

**Exponents And Surds Questions and Answer Set 1: Ques No 4**

If 6^{a} = 2, 6^{b} = 5 and 6^{c} = 15, then the value of c in terms of a and/or b is

**Options:**

A. b + 3

B. 5a + b

C. b2 – 2b

D. b – a + 1

**Answer: D**

**Exponents And Surds Questions and Answer Set 1: Ques No 5**

If a^{2}+b^{2}+c^{2} = ab+bc+ca, then the simplification of [x^{a}/x^{b}]^{a-b} * [x^{b}/x^{c}]^{b-c} * [x^{c}/x^{a}]^{c-a }is

**Options:**

A. 0

B. 1

C. x

D. 1/x

**Answer: C**

**Exponents And Surds Questions and Answer Set 1: Ques No 6**

If 3^{x-y }= 81 and 3^{x+y }= 729, then the value of x is

**Options:**

A. 1

B. 5

C. 2

D. 4

**Answer: B**

**Exponents And Surds Questions and Answer Set 1: Ques No 7**

The value of is

**Options:**

A. 1.00

B. 1.25

C. 1.50

D. 1.75

**Answer: A**

**Exponents And Surds Questions and Answer Set 1: Ques No 8**

The simplification of is

**Options:**

A. 1

B. 4

C. 2^{n}

D. 1/2^{n}

**Answer: B**

**Exponents And Surds Questions and Answer Set 1: Ques No 9**

If log_{2} 4 * log_{4} 8 * log_{8} 16 * ……………n^{th} term = 49, then the value of n is

**Options:**

A. 49

B. 48

C. 34

D. 24

**Answer: B**