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Let, the radius of the hemisphere be ‘r’ cm. So according to question: 2/3 × 3 × r3 = 5488 r3 = 2744 r = 14 So, the total surface area of the hemisphere = 3 × π × 14² = 3 × 3 × 14² = 1764 cm² Let the breadth of the rectangle be ‘x’ cm So the length of the rectangle = 2.25x cm According to question: x × 2.25x = 1764 x² = 784 x = 28 So the breadth of the rectangle = 28 cm Length of the rectangle = 28 × 2.25 = 63 cm So the perimeter of the rectangle = 2 × (63 + 28) = 182 cm
Statements:
I ≤ A ≤ S = X < L; N > W > G ≥ P ≥ S
Conclusions:
I. G ≥ A
II. N > L
Which of the following expressions will be true if the expression ‘V ≥ W < X = Y’ is definitely true?
Statement: B = L > N < M; M ≤ V < G
Conclusions:
I. G > N
Statements: T < Q ≥ L; W < Q ≥ E; E < S
Conclusions:
I. T < S
II. S > Q
III. E < L
Statements: N ≥ M ≥ O; U < N; V < O ≤ R
Conclusions:
I. V < N
II. R ≥ N
III. O < U
Statement: A > B < D = E < C < F > G ≥ J; D > H
Conclusions:
I. A > H
II. F > H
III. D > F
Statements: J < K = L ≥ M ≥ P; F ≥ K < G
Conclusion I. J < G II.F ≥ P
...Statements: R = S ≥ T, U < Q < W = T, U = Z > V
Conclusions:
I. R > U
II. S ≥ Z
III. V < T
Statement: J > K; N < O ≤ L; N ≥ M > K
Conclusion:
I. N ≥ J
II. K < L
