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I. 8(x+3) + 8(-x) =72 8x × 83 + (1/8)x - 72 = 0 Let 8x = a 512a + 1/a - 72 = 0 512a² + a - 72a = 0 512a² - 72a + 1 = 0 512a² - 64a - 8a + 1 = 0 64a (8a-1) -1(8a-1) = 0 (64a-1) (8a-1) = 0 a = 1/8, 1/64 8x = 1/8 x = -1 8x = 1/64 x = -2 II. 5(y + 5) + 5(-y) = 150 55 × 5y + (1/5)y - 150 = 0 Let 5y = b 3125b + 1/b - 150 = 0 3125b² - 150b + 1 = 0 3125b² - 125b - 25b + 1 = 0 125b(25b-1) -1(25b-1) = 0 b = 25, 125 5y = 1/25 y = -2 5y = 1/125 y = -3 Hence, x ≥ y
Statements: All cans are vessels.
Some vessels are jars.
All jars are containers.
Some conta...
Statements:
Each hand is pump.
Every pump is tap.
Some hand are water.
Conclusions:
I. Some pump are water.
II. No water is tap.
III. Some tap are hand.
Statements:
Only a few subject is colour
Only few colour is game
Only game is mobile
Conclusions:
I. Some colour bein...
Statements: All flowers are books.
All books are carpets.
Some carpets are keys.
Some keys are locks.
Conclusions:I. Some ke...
Statement:
Only a few D are N.
No N are C
Conclusion:
I. Some D are not C
...Statements : Some fathers are mother.
All mothers are son.
...Statement:
Only a few P are Q
Only a few Q are P
Conclusion:
I. All Q bei...
If all the letters in the word ‘SWEATSHIRT’ are arranged in alphabetical order from left to right such that the vowels are arranged first foll...
Statements:
Some Mobile are Sim
All Mobile are Cable
No Cable is an Adapter
Only a few Cups are Adapter
Statements:
All Textiles are Clothes.
Only few Clothes are Inputs.
Only few Inputs are Output.
No Output is a Unit.
C...