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Since, x – 1/x = 15 Cubing both sides we get; x3 – 1/x3 – 3 × (x) × (1/x) × (x – 1/x) = 729 Or x3 – 1/ x3 = 1331 + 3 × 9 = 729 + 27 = 756 Alternate method: If it is given, x – 1/x = n and we have to find x3 – 1/x3, can directly use n3 + 3n. x – 1/x = 9 By using n3 + 3n, where n = 9 => 93 + 3 × 9 => 729 + 27 = 756
Statement :No cup is a medal.
All medals are trophies.
No trophy is a shield.
Some shield are prizes.
Conclusion:
I. ...
Some tyres may be flowers. Some jungles are not rains. Some flowers are petals.
Statement:
Only car are bus.
No bus is train.
Only bike are train.
Conclusion:
I. No train is car.
II. S...
Statements:
Some Sodas are Juice.
All Juices are Lime.
No Juice is Coke.
Some Cokes are Pepsi.
Conc...
Statements:
cups + sets.
sets + fours.
fours - claws.
claws + traps.
Conclusions:
I. claws + sets.
II. ...
Statements:
All Before are After
All After are Behind
Some Before are Opposite
Conclusions:
I. Some After are Oppo...
Statements:
All ribbons are mat.
Some mats are ropes.
No rope is a thread.
All thread is a needle.
<...Statements:
Few Blue are Purple.
No White is Purple.
Some White is Black
Conclusions:
I. All Blue can be W...
Statements: All bottle are cups.
No cup is a plate.
Conclusions: I. No bottl...
Statements:
No Summer is Winter.
Only a few Winter is Autumn
Some Summer are Spring.
Conclusions:
I. All W...
