Question
Statement: No cup is a medal. All medals
are trophies. No trophy is a shield. Conclusion: I. Some medals are not shields. II. Some trophies are cups. III. All trophies may be medals. In each of the questions below are given three statements followed by three conclusions numbered I, II and III. 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 given conclusions logically follows from the given statements disregarding commonly known facts.Solution
All medals are trophies(A) + No trophy is a shield(E) → No medal is a shield → I.I. → No shield is a medal → conversion → Some medals are not shields(O). Hence, conclusion I will follow. No cup is a medal(E) + All medals are trophies(A) → Some trophies are not cups(O*). Hence, conclusion II will not follow. All medals are trophies (I) → Probable conclusion → All trophies may be medals (A). Hence, conclusion III will follow.
If z + (1/z) = 2 then find z105 + 1/(z105) = ?
If x + y + z = 20, x² + Y² + z² = 160 and x z = y², then find the value of x z?
= ?If √b + (1/√b) = 11, then find the value of b + (1/b).
If x = 19 , find x 5 - 20 x 4 + 20 x 3 - 20x 2 + 20x - 20 = ?
If √m + (1/√m) = 7, then find the value of m + (1/m).
If x + 1/x = 2, find x⁷ + 1/x⁷.
- If [5a - (1/2a)] = 7, then find the value of [25a² + (1/4a²) - 3]
f(y) = y² – 5y + 6. Determine f(3) + f(–2).
