Question
In the question below there are three statements
followed by three conclusions I, II and III. You have to take the three given statements to be true even if they seem to be at variance from commonly known facts and then decide which of the given conclusions logically follows from the three statements disregarding commonly known facts. Statements: Some apples are oranges. Each orange is grapes. Only apples is kiwi. Some apples are mangoes. Conclusions: I. Some mangoes are grapes. II. Some oranges are mangoes. III. No orange is kiwi.Solution
Some apples are oranges (I) + Each orange is grapes (A) → Some apples are grapes (I) → Conversion → Some grapes are apples (I) + Some apples are mangoes (I). Hence conclusion I does not follow. Some apples are oranges (I) → Conversion → Some oranges are apples (I) + Some apples are mangoes (I) → No conclusion. Hence conclusion II does not follow. Only apples is kiwi → All kiwi are apples and kiwi cannot have positive relation with anyone. Hence conclusion III follows.
- One of the angles of a quadrilateral is 80º. If ratio of remaining angles of quadrilateral is 6:3:5 respectively, then find the smallest angle of quadrila...
Determine the difference between an angle and its complementary angle, given that the angle is two-thirds of its complement.
Angles of a triangle are in the ratio 4 : 6 : 8. Find the measure of the middle angle.
If O is the orthocentre of ΔABC , if ∠BOC = 1350 then what is the measure of ∠BAC?
The internal bisector of ∆ABC at ∠A cuts BC on D and cuts the circum circle at E if DE = 6cm, AC = 8cm and AD = 10 cm then find the length of AB?
Find the area of triangle having sides in the ratio 4:5:7 & the perimeter of the triangle is 16 cm
A square is inscribed in a circle, and another square is circumscribed around the same circle. If the side of the inscribed square is 12 cm, find the di...
Find the area of triangle having sides 7m, 8m, and 9m.
In an obtuse angle  triangle PQR, the external angle bisector of angle P intersect the extended part of line RQ at M and the external angle bisector...