Question
Statements:All hotels are buses. Some buses are
cars. All cars are trams. Some trams are clouds. Conclusions:I. Some trams are buses. II. Some trams are hotels. III. Some clouds are cars. In each question below are given four statements followed by three conclusions numbered I, II and III. You have to take the two given statements to be true even if they seem to be at variance with commonly known facts and then decide which of the given conclusions logically follows from the two given statements, disregarding commonly known factsSolution
Some buses are cars(I) + All cars are trams(A) ⇒ Some buses are trams(I) ⇒ Conversion ⇒ Some trams are buses(I). Hence conclusion I follows. All hotels are buses(A) + Some buses are cars(I) ⇒ No conclusion. Hence conclusion II does not follow. All cars are trams(A) + Some trams are clouds(I) ⇒ No conclusion. Hence conclusion III does not follow.

Which of the following options gives the value of 2999² – 999²?
If √c + (1/√c) = 7, then find the value of c + (1/c).
- If x² - 2x + 1 = 0, then find the value of (x³ + x⁻³)(x + x⁻¹).
A certain number of students from school X appeared in an examination and 30% students failed. 150% more students than those from school X, appeared in ...

If sin 28° = 15/17 , then tan 62° = ?
If p = 28 - q - r and pq + r(q + p) = 182, then find the value of (p² + q² + r²).
The value of:
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