Outer diameter of 20 cm long pipe is 25 cm. If the thickness of the metal in the pipe is 1 cm. Find the total surface area of the pipe?
Outer part surface area = 2πRh Inner part surface area = 2πrh Area of shaded portion = 2πR² - (πr)² = π(R² - r²) Total surface area = 2πRh + 2πrh + 2π(R² - r²) = 2π(R+r) [h + R - r] = 2π(R+r) [h + thickness] Required surface area = 2π(R+r) [h + thickness] = 2 × 22/7 × (12.5 + 11.5) × 21 = 132 × 24 = 3168
In this question, the statement is followed by two conclusions. Which of the two conclusion(s) is/are true?
Statement: Z < L < P = V ≥ H = U â‰...
Statements: C ≥ D= E ≤ F, G < F ≤ H < J
Conclusion:
 I. H = D
II. H > D
III. G ≤ D
Which of the following symbols should replace the question mark (?) in the given expression in order to make L ≤ N definitely true?
O = L = M ...
Statements: X > V ≥ A = I ≤ R > G = H ≤ Q
Conclusion
I: Q ≤ A
II: Q > A
Statements: P ≤ Q < R; P ≥ S < T; S > U ≥ V
Conclusions:
I. S ≤ Q
II. T ≥ V
III. S > R
Statements: H = U < S ≤ V > F = E > J ≥ I
Conclusion
I: H < F
II: V > I
Statements: M ≤ N; O < R; O = N; S ≥ Q; N > S
Conclusions:
(i) Q < M
(ii) N ≥ Q
(iii) M > R
Statements: Q > M ≤ F < H; V = A > M > P; Z < I < P
Conclusions:
 I. H ≥ Z
II. I < Q
III. V = I
Statements: L ≤ M = N ≤ O = Q; Z ≥ T > P = Q; L > R = S < V
Conclusions:
I. Z ≥ N
II. V > P
III. R < T
Statement: C ≥ D > E ≥ H; I < E ≤ F < G
Conclusions: I. H > D II. G < H
...
