Question
Statements: No unit is measurement. Some
measurements are lines. Only a few units are points. Conclusions: I. Some points are not lines. II. Some units are lines. III. All points are lines. In each question below, there are some 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 and then decide which of the given conclusions logically follows follow(s) from the given statements.Solution
No measurement is unit (E) + Some units are points (I) → Some points are not measurements (O*) + Some measurements are lines (I) → No conclusion. Hence neither conclusion I nor II follow but it will make a complementary pair. Hence either conclusion I or II follows. No unit is measurements (E) + Some measurements are lines (I) → Some lines are not units (O*). Hence conclusion II does not follow.
If 0 ≤ θ ≤ 90°, and sin(2 θ +50°) = cos (4 θ + 16°), then what is the value of θ (in degrees)?
sin10˚ x sin20˚ x sin40˚ =?
If (2sin A + cos A) = 3sin A, then find the value of cot A.
If tan 4θ = cot 14θ, then find the value of cos 9θ.
If sin A = 3/5 and cos B = 4/5, where A and B are acute angles, find the value of sin(A + B).
If √3cosec 2x = 2, then the value of x:
If tan θ + cot θ = 2 where 0 < θ < 90 ; find the value of tan30 θ + cot 29 θ.
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If θ is an acute angle and sin θ + cosec θ = 2, then the value of sin2 θ + cosec2 θ is: