Question
The difference between the area of a circle and the area
of the rectangle is 290.16 cm2. If the length of rectangle is 25% more and breadth is 10% less than the radius of the circle, then find the perimeter of the rectangle? (Take π = 3.14)Solution
Let the radius of the circle be r cm. So, the length of the rectangle = 1.25r cm and the breadth of the rectangle = 0.90r cm Given that, ⇒ πr2 – 1.25r × 0.90r = 290.16 ⇒ 3.14r2 – 1.125r2 = 290.16 ⇒ r2 = 290.16/2.015 ⇒ r2 = 144 ⇒ r = 12 Length = 1.25 × 12 = 15 cm Breadth = 0.90 × 12 = 10.8 cm Perimeter of rectangle = 2(15 + 10.8) = 51.6 cm
Statement: E < F ≤ G = H, I ≥ G ≤ J ≤ K
Conclusion: I. K > EÂ Â Â Â Â Â Â Â Â II. H > K
Statements: A > E ≤ B; G < C ≤ E; D < C ≤ F
Conclusions:
I. D < B
II. F ≤ E
III. A > G
...Statements: E > U > V ≥ K > F; E ≤ N = L < H
Conclusions: I. L > KÂ Â Â Â Â II. U < H
Statements: W ≤ B = F; H > T; H < U < F; W ≤ X < S
Conclusions:
I. W < U
II. T < B
III. X > H
Statements: R ≥ S > T; U < V ≤ T; V > W
Conclusions:
I. R > V
II. W < S
 III. T > W
Statement: J ≥ K ≥ L = M ≤ N = O
Conclusions:
I. J > N
II. L ≤ OStatements: B > A = D ≥ C = I ≥ H > E > F > G
Conclusions:
I. C ≥ E
II. E > C
III. A ≥ DStatements: V ≤ R ≥ Q; R ≤ N < Y; I > Y ≤ S
Conclusions:
I. V ≤ S
II. I > Q
III. S > N
Statements: O ≥ M > F, K ≤ J ≤ D = F, B ≤ Z ≤ L = K
Conclusion:
I. M > L
II. D ≥ B
In these questions, relationship between different elements is shown in the statements. The statements are followed by conclusions.
Statements:...
Relevant for Exams:
