Surds and Indices Aptitude Questions and Answers | MCQ Problems

2022-02-09

Join Telegram
Join Whatsapp Groups

Surds and Indices Aptitude Questions and Answers | MCQ Problems: So, not able to clear the Surds and Indices in Aptitude Section? Well, want to practice more and more. Then this article, which contains the Surds and Indices Quiz is the answer for all your searches. Therefore, all those aspirants who want to get the real concept of this Topic can check this post to find out better information. You can prepare with the given Surds & Indices Aptitude Questions and Answers by taking a mock test below.

Well, through this post, we want to elaborate sources such as the surds and indices formulas, surds and indices questions, surds and indices tricks, surds and indices problems and solutions pdf, Surds and Indices Tricks pdf, surds and indices questions for the cat, surds and indices for bank exams and all. Therefore, those who want to get a grip on that topic should check this complete Article. Well, in the next sections of this post, we even provided the Quiz for the sake of aspirants. Take it and check your caliber.

Table of Contents

Surds and Indices Quiz

Quiz Name	Surds and Indices
Category	Aptitude
Number of Questions	20
Time	30 Minutes
Exam Type	MCQ (Multiple Choice Questions)

Surds and Indices Online Test – Practice Now

★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★

1. Value of (256)¹⁶x (256)^0.09 is

a. 64

b. 4

c. 8

d. 16

Answer: B

Explanation:

(256)^0.16 x (256)^0.09

(256)^0.16+0.09 = (256)^0.25 = (256)^1/4

= (4⁴)^1/4 = 4^{4 x 1/4} = 4

2. The value of x^1/2. Y^-1.z^2/3 , when x = 9, y = 3, and z = 8 is

a. 18

b. 12

c. 6

d. 4

Answer: D

Explanation:

x^1/2. Y^-1 .z^2/3

Putting the value of x, y, z from the question in the above equation

9^1/2. 3^-1. 8^2/3

3 .3^-1.2

3^-1.2²= 3⁰.2²= 4

3. If m and n are whole numbers such that, mⁿ = 121, then the value of (m-1)ⁿ⁺¹ is

a. 1

b. 10

c. 121

d. 1000

Answer: D

Explanation:

If mⁿ = 121

mⁿ = 11²

n = 2;

m = 11; then

(m-1) ⁿ⁺¹ = (11- 1) ²⁺¹ = 10³ = 1000

4. If 2^x-1+2^x+1=320, then x is equal to

a. 6

b. 8

c. 5

d. 7

Answer: D

Explanation:

By equating the powers
x-6=1
x = 1+6 = 7

5. If x = √196 + √200, then x/2 + 2/x is?

A. 14
B. 7
C. 2√50
D. √50

Answer: Option C

Explanation:

x = 14 + 10√2

x/2 = 7 + 5√2

2/x = (7 – 5√2) / (7 + 5√2)(7 – 5√2) = 5√2 – 7

x/2 + 2/x = 10√2 = 2√50

6. If x = √8 – √7, y = √6 – √5 and z = √10 – 3, which of the following is true?

A. x < z < y
B. z < x < y
C. x < y < z
D. z < y < x

Answer: Option B

Explanation:

x = √8 – √7 = 1/(√8 + √7) and y = √6 – √5 = 1/(√6 + √5) and z = √10 – 3 = 1/(√10 + 3)

As (√8 + √7) > (√6 + √5), (√8 – √7) < (√6 – √5)

As (√10 + 3) > (√8 + √7) > (√6 + √5)

z < x < y.

7. If x = √3 – √2, then find (x – 1/x)²

A. 2
B. 4
C. 2√2
D. 9

Answer: Option E

Explanation:

x = √3 – √2
1/x = 1/√3 – √2 = (√3 + √2) / (√3 – √2)(√3 + √2)
= √3 + √2
(x – 1/x)²= [(√3 – √2) – (√3 + √2)]²
= (-2√2)²= 8

8. If x = √11 + √20, y = √15 + √17 and z = √14 + √18, then which of the following holds true?

A. x < y < z

B. y < z < x

C. y < x < z

D. x < z < y

Answer: Option D

Explanation:

By squaring and simplifying,
x²= 31 + 2√220
y²= 32 + 2√255
z²= 32 + 2√252
x²< z² < y² => x < z < y.

9. [(√7 + √5) / ( (√7 – √5)] + [(√7 – √5) / (√7 + √5)] = ?

A. 6

B. 12

C. 14

D. 18

Answer: Option B

Explanation:

[(√7 + √5) / ( (√7 – √5)] + [(√7 – √5) / (√7 + √5)]

= [(√7 + √5)² + (√7 – √5)²] / (√7 + √5)(√7 – √5)

[(√7 + √5)² + (√7 – √5)²] / 2 = 12

10. If y³ = 0.008, y⁵ = ?

A. 0.00032

B. 0.0032

C. 0.032

D. 0.000032

Answer: Option A

Explanation:

y⁵= (0.2)⁵ = 0.00032.

11. Solve for m if 3(√3)^m+4 = (√3)^2m+7

A. 0

B. -1

C. 2

D. 3

Answer: Option B

12. Identify the greatest numbers: 4⁵⁰, 2¹⁰⁰, 16²⁵

A. 4⁵⁰

B. 2¹⁰⁰

C. 16²⁵

D. All are equal

Answer: Option D

Explanation:

4⁵⁰= (2²)⁵⁰ = 2¹⁰⁰ => 16²⁵ = (2⁴)²⁵ = 2¹⁰⁰
Hence, 4⁵⁰, 2¹⁰⁰and 164²⁵ are all equal.

13. Which of the following is the greatest?

A. 4^1/4

B. 3^7/10

C. 5^1/2

D. 6^1/5

Answer: Option C

Explanation:

5 > 4 and 1/2 > 1/4
5^1/2> 4^1/4
4^1/4cannot be the greatest. Hence 3^1/4 also cannot be the greatest.
3^7/10= (3⁷)^1/10 = (2187)^1/10
5^1/2= 5^5/10 = (5⁵)^1/10 = (3125)^1/10
6^1/5= 6^2/10 = (6²)^1/10 = (36)^1/10
As (3125)^1/10> (2187)^1/10 > (36)^1/10 , 5^1/2 is the greatest.

14. (3^a+1 9^a+2 27^a) / (3^a-1 9^a 27^a+1) = ?

A. 3

B. 9

C. 27

D. 1

Answer: Option C

Explanation:

(3^a+19^a+2 27^a) / (3^a-1 9^a 27^a+1) = [3^a+1 3^2(a+2) (3³)^a] / [3^a-1 (3²)^a (3³)^a+1] = 3^6a+5 / 3^6a+2 = 3³ = 27.

15. (27^2/3 * 9^1/2 * 81^1/4)^-1/4 = ?

A. 3

B. 9

C. 1/3

D. 1/9

Answer: Option C

Explanation:

(27^2/3* 9^1/2 * 81^1/4)^-1/4 = [(3³)^2/3 * (3²)^1/2 * (3⁴)^1/4]^-1/4
= (3²* 3 * 3)^-1/4 = (3⁴)^-1/4 = 1/3.

16. (3^-3 * 9^5/2) / (27^2/3 * 3^-4) = ?

A. 3

B. 9

C. 81

D. 21

Answer: Option C

Explanation:

(3^-3* 9^5/2) / (27^2/3 * 3^-4) = [3^-3 * (3²)^5/2] / [(3³)^2/3 * 3^-4]
= (3^-3* 3⁵) / (3² * 3^-4) = (3^-3+5)/(3^2-4) = 3²/3^-2 = 3² * 3² = 81.

17. (9^-7 / 27^-3)^4/5 = ?

A. 3^-1

B. 3^-2

C. 3^-3

D. 3^-4

Answer: Option D

Explanation:

(9^-7/ 27^-3)^4/5 = [(3²)^-7 / (3³)^-3]^4/5
= (3^-143⁹)^4/5 = 3^-4 .

18. (17¹⁴ * 17¹⁶) / 17^-8 = ?

A. 17²⁸

B. 17²⁴

C. 17²⁶

D. 17²²

Answer: Option D

Explanation:

? = 17^14+16-8= 17²²

19. (27²/4^-3)^-5/6 = ?

A. 1/1296

B. 1/46656

C. 1/7256

D. 1/7776

Answer: Option D

Explanation:

(27²/4^-3)^-5/6= [(3³)²/(2²)^-3]^-5/6
= (3⁶* 2⁶)^-5/6
= (6⁶)^-5/6= 1/6⁵ = 1/ 7776.

20. (8x⁹ / 27y^-6)^-2/3 = ?

A. 9/4 x^-6 y^-4

B. 9/4 x^-4 y^-6

C. 9/4 x^-6 y⁴

D. 9/4 x^-4 y⁶

Answer: Option A

Explanation:

(8x⁹/ 27y^-6)^-2/3 = (8x⁹y⁶ / 27)^-2/3 = [(2/3 x³ y²)³]^-2/3
= 9/4 x^-6y^-4.

★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★

Surds and Indices Aptitude Formulae

So, basically, to solve any problem in the Aptitude Section, a contender should have a basic idea about the Formulae. Then only he or she can work further on that problem. Now, many people are facing difficulty because they ignore the Basics and Formulae. Therefore, keeping the need of the aspirants here in this section we are providing the set of Formulae. Well, these will help the contenders, to get an outline on how to solve the problem. Remember without having the knowledge of the Formula’s you will not be able to solve a problem. Therefore, please keep this in mind.

Surds and Indices MCQ Problems | Online Quiz

Well, frequently, we come across the people who are preparing for different Entrance Exam, Government Jobs, and IT Openings like Wipro, TCS, Genpact, Mindtree, SSC, CAT, MAT, UPSC, SSSB, Railways, Banks, GRE, GMAT, SAT, AIIMS, IIT’s, IIM’s etc..,. All such people mainly face some difficulty in clearing the aptitude round. And in aptitude mainly the Surds and Indices Concept. Well, more practice and knowing the real concept will be the key to solving a problem in this area. And while preparing an aspirant should concentrate and get to know about the Short Cuts too. So, that they can easily solve the problem in less time.

Surds and Indices Quiz Questions in Aptitude

Now, you might have tried to take the quiz on various platforms. But there is so much of a difference between the Quiz we are providing and what you took previously. Now, here along with the Questions, we are also providing the correct answers too. This means that this is going to relieve the burden of the contenders, to check another source every time for the Answer. Now, along with the Answer, we are also including the sufficient Solution along with an Explanation. Therefore, all the aspirants can understand the actual topic.

So, are you happy with the Surds and Indices Quiz on this page? Well, for more such resources, come back to our site Freshersnow.com regularly.

Surds and Indices Aptitude Questions and Answers | MCQ Problems

Surds and Indices Quiz

Surds and Indices Online Test – Practice Now

Surds and Indices Aptitude Formulae

Surds and Indices MCQ Problems | Online Quiz

Surds and Indices Quiz Questions in Aptitude

Practice More Aptitude Questions and Answers

Jobs by Qualification