Question
Read the given statements and conclusion carefully.
Assuming the information given in the statement is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements. Statements: All Cartoon are Character. All Serial are Character. Some Serial are Network. Conclusion: I. Some Character are Network. II. Some Cartoon are Network. III. Some Character are Cartoon.Solution
Some Serial are Network (I) → Conversion → Some Network are Serial (I) + All Serial are Character (I) → Some Network are Character (I) → Conversion → Some Character are Network (I). Hence conclusion I follows. All Cartoon are Character (A) + → Some Character are Serial (I) → No conclusion. Hence conclusion II does not follow. All Cartoon are Character (A) → Conversion → Some Character are Cartoon (I). Hence conclusion III follows.
A circle has radius r. A square is inscribed inside it. Area of square is 242. Find radius.
- 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)
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 of radius 10 cm, a chord AB has length 10√3 cm. Find:
(i) the distance of the chord from the centre, and
(ii) the measure of...
A metal wire when bent in the form of a square encloses an area 1089 cm 2 , if the same wire is bent in the form of a circle, then its area is?
The circumference of a wheel is 39.6 cm. What is the radius of the wheel?
The area of a sector of a circle is 88cm² and the angle of the sector is 60º. Find the radius of the circle.
Find the area of a circle of radius 7 cm. (Take π = 22/7)
From an external point P, a tangent PT is drawn to a circle with centre O. If OP = 17 cm and PT = 15 cm, then the radius of the circle is:
The radius of a circle is 7 cm. Find the area of the sector formed by a central angle of 90°.
Relevant for Exams:
