Question
The perimeter of a sector of a circle, whose radius is
18 cm, is 62 cm. If the length of a rectangle is 10 cm more than the arc subtended by the sector and its perimeter is 96 cm, then find the area (in cm2) of the rectangle.Solution
Let the arc subtended by the sector be ‘l’ cm and the radius of the circle be ‘r’ cm According to the question, (l + 2r) = 62 Or, l = 62 – 2r = 62 – (2 × 18) = 26 cm Therefore, length of the rectangle = 26 + 10 = 36 cm Let the breadth of the rectangle be ‘b’ cm Therefore, 2 × (36 + b) = 96 Or, b = 48 – 36 = 12 cm Therefore, area of the rectangle = length × breadth = 12 × 36 = 432 cm2
Statements:
E ≤ A > J ≥ L; Y > J < D
Conclusions:
I. D > L
II. A > L
Statements: S > V = T, U < X < T, W > U
Conclusions:
I. W > T
II. V > U
III. S > X
Statements: A ≥ B = C; A < D < E; F > G > E
Conclusion:
I. D > C
II. C < E
In the question, assuming the given statements to be true, find which of the following conclusion(s) among the three conclusions is/are true and then g...
Statements: O @ G % N & A @ I % P; V $ U & Q # A
Conclusions:
I. N @ U
II. G % V
III. V # I
What should come in the place of question mark, in the given expressions to make ‘N ≤ T’ always true?
L > M = N ≤ O ≤ P _?_ Q = R ≤ S...
In the question, assuming the given statements to be true, find which of the conclusion (s) among given two conclusions is/are definitely true and then...
In the question, assuming the given statements to be true, find which of the conclusion (s) among given three conclusions is/are definitely true and t...
What should come in the place of [@] and [%] sequentially, in the given expressions to make ‘H > A’ always true?
A < B ≤ C [@] D = E [%] F ...
Statements: B > D = H > G < J ≤ K > L < I
Conclusion
I: B ≥ G
II: K > G
