Note 1

Take Note:

Take a note while surfing.





Note With Ink

Give your Note a Colorful Tag.




Easy to Access

Stay on same information and in Sync wherever you are.

Note 2

Take Note:

Organize your information,It may take Shape.





Think With Ink

Differ your Content by Color.




Easy to Access

Easy to pull up your content from anywhere anytime.

Note 3

Take Note:

Don't Let information to miss,Because it take shape





Note With Ink

Simple an Easy Way to take a note.




Easy to Access

Get the same in next visit.


Please wait...

  Take Quiz (Monsoon) Beta Version !!
  Do You have Qs. in your Mind ??? Ask it as Qs. or MCQs or create it as polling Live Now !!

Arithmetic Aptitude :: Simplification

Home > Arithmetic Aptitude > Simplification > General Questions

1 / 105

 If (x + 1/x)^2 = 3 then (x^3+1/x^3) is equal to

Answer: Option D

Explanation:

(x + 1/x)^2 = 3 => (x + 1/x) = √3
Now (x^3+1/x^3) = (x+1/x)^3-3x*1/x(x+1/x)
=> ( √3)^2 -3?3) = (3√3-3√3) = 0

Workspace


Tags:  No Tags on this question yet!

2 / 105

 (0.1*0.1*0.1 + 0.02*0.02*0.02)/(0.2*0.2*0.2 + 0.04*0.04*0.04) is equal to

Answer: Option A

Explanation:

Lets assume 0.1 as a so 0.2 will be 2a
and 0.02 as b so 0.04 will be 2b
Simplify the give equation
(a*a*a + b*b*b)/(2a*2a*2a+2b*2b*2b) => (a^3+b^3)/(8*a^3+8*b^3)
=> (a^3+^3)/8(a^c+b^3) = 1/8 = 0.125

Workspace


Tags:  No Tags on this question yet!

3 / 105

 If (a^2 + b^2 + 1/a^2 + 1/b^2) = 4, then the value of (a^2 + b^2) will be

Answer: Option B

Explanation:

Given (a^2 + b^2 + 1/a^2 + 1/b^2) = 4
Simplify the above eq.
=> a^2 + 1/a^2 +b^2 + 1/b^2 = 4
=> (a-1/a)^2 + 2 + (b - 1/b)^2 + 2 = 4
=> (a-1/a)^2 + (b - 1/b)^2 = 0
=> (a - 1/a) = 0; (b - 1/b) = 0
=> a = b = (+-)1
so (a^2+b^2) = 1+1 = 2

Workspace


Tags:  No Tags on this question yet!

4 / 105

 if (x + 1/x) = 2, then the value of (x^100 + 1/x^100) is:

Answer: Option A

Explanation:

Quick Approach
for x =1 given eq. will be satisfy. (1+1/1)=2
so (x^100 + 1/x^100) = (1^100 + 1/1^100) = 2

Workspace


Tags:  Global Edge

5 / 105

 if (2x + 2/x) = 1, then the value of (x^3 + 1/x^3) is

Answer: Option C

Explanation:

(2x + 2/x) = 1
=> (x + 1/x) = 1/2
(x^3+1/x^3) = (x+1/x)^3-3x*1/x(x+1/x)
= (1/2)^3-1/2 = (1/8 - 3/2) = (1-12)/8= -11/8

Workspace


Tags:  Global Edge

6 / 105

 If A:B = 2:3, B:C = 4:5 and C:D = 5:9,then A:D is equal to

Answer: Option B

Explanation:

A/B*B/C*C/D= 2/3*4/5*5/9
=> A/D = 8/27

Workspace


Tags:  Global Edge

7 / 105

 if x^3 + 3x^2 + 3x = 7, then x is equal to

Answer: Option B

Explanation:

x^3 + 3x^2 + 3x = 7
Adding both side 1
=> x^3 + 3x^2 + 3x + 1= 7 +1
=> (x+1)^3=2^3
=> x+1 = 2 => x =1

Workspace

8 / 105

 What is the value of [(3x+8Y)/(x-2Y)]; if x/2y=2?

Answer: Option A

Explanation:

3x+8y)/( 2y(x/2y - 1))    \\ take 2y as a common



(3x + 8y)/ (2y (1))      \\substitue (x/2y = 2) as in question



3x/2y + 8y/2y



3*2 + 4               \\ substitute (x\2y =2) as per condition



6 + 4



10

Workspace


Tags:  TCS

9 / 105

 For what values of 'm' is y = 0, if y = x^2 + (2m + 1)x + m^2 - 1? x is a real number.

Answer: Option D

Explanation:

Here is no explanation for this answer

Workspace


Tags:  No Tags on this question yet!

10 / 105

 If 2x-y=4 then 6x-3y=?

Answer: Option B

Explanation:

Solution:    2x-y=4 



Multiply both sides by 3 then it will be 6x-3y=12   

Workspace


Tags:  No Tags on this question yet!