Question
If x = 2 + √3 then find the value of
x3/2 + 1/(x3/2) = ?Solution
x = 2 + √3 Then, 1/x = 2 - √3 x+ 1/x = 2 + √3 + 2 - √3 x+ 1/x = 4 Let √x + 1/√x = P Squaring on both sides, we will get x + 1/x + 2 = P2 4+ 2 = P2 So P =√6 hence √x + 1/√x = √6 = N So now (√x)3 + (1/√x)3 = N3-3N = (√6)3-3(√6) = 6√6 - 3√6 = 3√6
Statements:
All bulls are cows.
No cow is ox.
Some ox are buffaloes
All ox are cattle
Conclusion:
Statement:
All Mathematics are Economics
Only a few Mathematics are Chemistry
No Chemistry is Physics
Conclusion:
I. ...
. Statements:Ā
No ring is a diamondĀ
All diamonds are pearlĀ
Some bangle are pearlĀ
Conclusions:Ā
I. Some Bangle...
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Some silks are fibres.
No fibre is a polyesters.
Some polyesters are nylons.
Conclusion:
I. Somesilks...
Who among the following sits to the extreme west on Floor - 2 and extreme east on Floor-4?
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Only Designs is Tool
No Layout is Designs
All Painters are Designs
Conclusions:
I. All Designs being Tool is... Statements: Some girls are boy.
Ā Ā Ā Ā Ā Ā Ā Ā Ā Ā Ā Ā Ā Ā Ā Ā Ā Ā Ā Ā Ā Ā Ā Ā Ā Ā Ā Ā No boy is a men.
Ā Conclusions: I. Some bo...
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All schools are colleges.
No college is an institute.
Conclusions:
I. Some colleges are not institutes.
...Statements:
Only a few hut is home
Only few home is room
Only room is apartment
Conclusions:
I. Some home being apart...
- Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance wi...
