Search Placementyogi.com
 

Square and Cube Roots Aptitude Multiple Choice Questions and Answers

6

Simplify : (  √3-(1/√3) )2

A. 3/4
B. 4/3
C. 4/√3
D. None of these
See Answer & Explanation Lets Discuss
Correct answer is : B
Explanation

(  √3-(1/√3) )2

= (√3)2 +   (1/√3)2  - 2 x √3  x (1/√3)

= 3 + 1/3 -2

=1 + 1/3

=4/3

 
7

If x =( √3 + 1 )/ (√3 - 1)and y =(√3 - 1)/ (√3 + 1), then the value of (x2 + y2) is:

A. 10
B. 14
C. 13
D. 15
See Answer & Explanation Lets Discuss
Correct answer is : B
Explanation

Let's Rationalize both x and y first,

X =( √3 + 1 )/ (√3 - 1) x ( √3 + 1 )/( √3 + 1 )

= ( √3 + 1 ) /(3-1)= (3+1+2√3  )  / 2 = 2+ √3 .

and

Y =(√3 - 1)/ (√3 + 1) x ( √3 - 1 )/( √3 - 1 )

= ( √3 - 1 )2 /(3-1)= (3+1-2√3  )  / 2 = 2- √3 

So,

x2 + y2 = (2 + √3)2 + (2 - √3)2

=2 (4+ 3)

=14

 
8

What should come in place of both x in the equation x / √128=√162/ x

A. 12
B. 14
C. 144
D. 196
See Answer & Explanation Lets Discuss
Correct answer is : A
Explanation

 x / √128=√162/ x

=> x2 = √128 x 162

=>√64 x 2 x 18 x 9

=>√82 x 62 x 3 2

=> 8 x 6 x 3

=> 144

x = √144 = 12

 

 

 

 

 

 

 

 
9

If √5 = 2.236, then the value of √5/2 -10/ √5 + √125 is equal to??

A. 5.59
B. 7.826
C. 8.994
D. 10.062
See Answer & Explanation Lets Discuss
Correct answer is : B
Explanation

5/2 - 10/√5 + √125 

Taking the LCM of denominators 2 and √5  = 2√5  We get,

(( √5 )- 10 x 2 +  2√5  x  5√5 ) /  2√5 

= (5 - 20  + 50 ) /  2√5 

Rationalizing the expression:

= 35/( 2√5 )  x √5 / √5 

=35√5 /10

= (7 x 2.236) / 2

=7 x 1.118

= 7.826

 
 

Banner to LogicGuns.com

Hide Page Information

Square and Cube Roots Aptitude Multiple Choice Questions and Answers with Explanation

Square and Cube Roots Aptitude Multiple Choice Questions and Answers for Government Sector job preparation. Square and Cube Roots Aptitude MCQ are very important for exams like CAT,MAT,XAT, SSC IBPS, Bank PO, BPSC, UPSC, Govt Jobs, Bank Clerk , UPPSC etc.

How should we start preparing for Square and Cube Roots Aptitude?

To prepare for Square and Cube Roots Aptitude you should start practising Square and Cube Roots MCQ from Questions Banks and Aptitude Books.

How important is Square and Cube Roots Aptitude Multiple Choice Questions in Exams?

The Square and Cube Roots Aptitude Multiple Choice Questions paper is very important as almost all the exams ask gk questions. Square and Cube Roots Aptitude questions are even asked in interview round.

Where can I practice Square and Cube Roots Aptitude MCQ and Multiple Choice Questions?

Here at placementyogi.com we have a good collection of GK Objective Type Questions that can help you to practise Objective Questions on Square and Cube Roots Aptitude. Many of these Objective questions will get repeated in government sector exams and will help you in preparing for the Square and Cube Roots Aptitude paper.