Question
Statements: All Onion are Potato. No
Potato is Tomato. All Tomato are Cabbage. Conclusions: I. All Potato being Cabbage is a possibility. II. All Potato are Onion. III. No Potato is Cabbage. In each of the questions below are given some statements followed by some Conclusions. You have to take the given statements to be true even if they seem to be at variance from commonly known facts. Read all the Conclusions and then decide which of the given Conclusions logically follows from the given statements disregarding commonly known facts.Solution
Alternative Method: No Potato is Tomato (E) + All Tomato are Cabbage (A) → Some Cabbage are not Potato (O*) → Probable conclusion → All Potato may be Cabbage (A). Hence conclusion I follows but conclusion III does not follow. All Onion are Potato (A) → Conversion → Some Potato are Onion (I). Hence conclusion II does not follow.
- Find the angle subtended at the center by an arc of a sector whose area is 462 cm² and radius is 21 cm. (Use π = 22/7)
The wheel of a car made 300 rotations. How much distance did the car travel if the diameter of the wheel is 28 inches? (1 inch = 2.54cm)
In a circle AB is diameter & C is a point on circumference such that AC = 13 cm & BC = 84 cm then find the area of circle ?
In a circle, two chords AB & CD are produced at P which is outside the circle . If PA= 18 cm, AB= 12 cm , PC = 6 cm then find CD.
Find the area of the sector of a circle with radius 14 cm and central angle 90°.
The radius of a circle is 7 cm. Find the area of the sector formed by a central angle of 90°.
- A circular sector has a radius of 14 cm and an area of 154 cm². What is the angle formed at the center by the arc? (Take π = 22/7)
A circle touches all four sides of a quadrilateral. If AB = 18 cm, BC = 21 cm, and AD = 15 cm, then what is the length of CD?
A circle has radius 13 cm. A chord is 10 cm long. What is the perpendicular distance from the centre to the chord?
- If the numerical value of the area of a circle is seven times that of its circumference, determine the diameter.