Question
Statements: All AC are Fans. All Fans are
Coolers. Conclusions: I. All AC are Coolers. II. Some Fans are AC. III. No AC is a Cooler. In each of the questions below are given two 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 AC are Fans (A) + All Fans are Coolers (A) = All AC are Coolers (A). Hence, conclusion I will follow. All AC are fans. (A) ⇒ conversion ⇒ Some Fans are AC. Hence, conclusion II will also follow. Both the statements are positive from which no negative conclusion can be drawn. Hence, conclusion III will not follow.
A circle inscribed in a square has a diameter of 14 cm. If a smaller square is inscribed within this circle, calculate the area of the smaller square. A...
Determine the slant height of a cone with a height of 20 cm. The cone's base radius is the same as that of a sphere, which has a volume of 38,808 cm³. ...
Length and breadth of a rectangular field is (x + 6) cm and (x – 3) cm, respectively. If the cost of ploughing the field at a rate of Rs. 10 per cm² ...
If a triangle with base 7 cm has the same area as a circle with radius 7 cm, then the corresponding altitude (in cm) of the triangle is:Â
Perimeter of a square is equal to the perimeter of a circle that is 484 cm. Find the ratio of the side of the square to the radius of the circle.
The value of tan2 θ + cot2 θ − sec2 θ cosec2 θ is:
The area of the rectangular field is 800 m² and its perimeter is 104 m. Find how much percent less the breadth of the field is compared to the length o...
Length of a rectangle is equal to the side of a square. If area of the square and rectangle is 400 m2 and 240 m2, respectively the...
Two cylindrical buckets 'A' and 'B' are such that the radius of bucket 'A' is thrice that of bucket 'B' whereas the height of bucket 'A' is twice that o...
A right circular cylindrical tank of radius 'R' meter and height 'R + 7' meter contains oil. The entire quantity of oil is taken out from the cylindric...