Question
You have to take the given statements to be true even
if they seem to be at variance with commonly known facts. Read all the conclusions and then decide which of the given conclusion definitely follows from the given statements, disregarding commonly known facts. Statements: All Lamps are Tubelights. Some Tubelights are Bulbs. No Bulb is Laptop. Conclusions: I. Some Tubelights are not Laptop. II. Some Laptop are Lamps. III. All Tubelights are Lamps.Solution
Some Tubelights are Bulbs (I) + No Bulb is Laptop (E) → Some Tubelights are not Laptop (O). Hence conclusion I follows. All Lamps are Tubelights (A) + Some Tubelights are Bulbs (I) → No conclusion. Hence conclusion II does not follow. All Lamps are Tubelights (A) → Conversion → Some Tubelights are Lamps (I). Hence conclusion III does not follow.
If 27 (x+y)³ − 8(x−y)³ = (x + 5y) (Ax² + By² + Cxy), then what is the value of (A+B-C)?
If a + b + c = 5, a³ + b³ + c³ = 85 and abc =25, then find the value of a² + b² + c² – ab –bc – ca
What is the highest common factor of (x³ - x² - x - 15) and (x³ - 3x² - 3x + 9)?
If (3x - y) = 3, xy = (2/3), then find the value of {x3Â - (y3/27)}
(u - 5) 2 + (v + 2) 2 + (w – 4) 2 = 0, then find the value of 4u - v + w.
If (6m – 5n) 2  = 7 and 30mn = 60, then find the value of (6m + 5n) 2  + 16mn.
If x² + y² + z² = xy + yz + zy (x≠0), then the value of (5x+3y-4z)/2x is
If ab = -15 and (a2 + b2) = 34, then find the value of (a – b).
If (528 – 507 + 195) ÷ 11 + √1296 = x, then {(x/2) + 10} = ?
If 9x2 + 16y2 = 24xy, then find the ratio of ‘x’ and ‘y’, respectively.