51 - 60 of 63 Questions
# | Question | Ans |
---|---|---|
51. |
Find the angle x in the diagram above A. 310o B. 230o C. 190o D. 130o E. 100o |
E |
52. |
The diagonal and one side of a square are x and y units respectively. Find an expression for y in terms of x A. \(y=\frac{x}{2}\) B. \(y\frac{x}{\sqrt{2}}\) C. \(y=\sqrt{x}\) D. \(y=\sqrt{\frac{x}{2}}\) Detailed Solutiondiagonal of a square(x) = y√2y in terms of x → y = \(\frac{x}{√2}\) |
|
53. |
Find the curved surface area of a cone of radius 3cm and slant height 7cm (\(take \pi = \frac{22}{7}\) A. \(22cm^2\) B. \(44cm^2\) C. \(66cm^2\) D. \(132cm^2\) E. \(198cm^2\) Detailed SolutionCurved surface area of a cone \(= \pi rt\\\frac{22}{7}\times 3\times 7 = 66cm^2\) |
|
54. |
In the diagram above, |PQ| = |PR| = |RS| and ∠RSP = 35o. Find ∠QPR A. 70o B. 50o C. 45o D. 40o E. 35o |
D |
55. |
P varies inversely as Q. The table above shows the value of Q for some selected values of P A. 4 B. 9 C. 15 D. 16 E. 144 |
D |
56. |
Three of the angles of a hexagon are each Xo. The others are each 3Xo. Find X A. 30o B. 40o C. 60o D. 80o E. 120o |
C |
57. |
Evaluate \(\sqrt{20}\times (\sqrt{5})^3\) A. 10 B. 20 C. 25 D. 50 Detailed Solution\(\sqrt{20}\times (\sqrt{5})^3\\2\sqrt{5}\times \sqrt{5}\times \sqrt{5}\times \sqrt{5}=2\times 5\times 5 = 50\) |
|
58. |
If P = {3, 7, 11, 13} and Q = {2, 4, 8, 16}, which of the following is correct A. \((P\cap Q)^l={2, 3, 4, 13}\) B. \(n(P\cup Q)=4\) C. \(P\cup Q = \emptyset\) D. \(P\cap Q = \emptyset\) |
D |
59. |
It is observed that \(1 + 3 = 2^2, 1 + 3 + 5 = 3^2, 1 + 3 + 5 + 7 = 4^2. \\If \hspace{1mm}1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 = P^2 find\hspace{1mm}P\) A. 6 B. 7 C. 8 D. 9 Detailed Solution1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 = 64where 64 = 8^2 That is P is 8 |
|
60. |
Evaluate \(3.0\times 10^1 - 2.8\times 10^{-1}\)leaving the answer in standard form A. \(2\times 10^{-1}\) B. \(2\times 10^{2}\) C. \(2.972 \times 10^{1}\) D. \(2.972 \times 10^{2}\) |
C |
51. |
Find the angle x in the diagram above A. 310o B. 230o C. 190o D. 130o E. 100o |
E |
52. |
The diagonal and one side of a square are x and y units respectively. Find an expression for y in terms of x A. \(y=\frac{x}{2}\) B. \(y\frac{x}{\sqrt{2}}\) C. \(y=\sqrt{x}\) D. \(y=\sqrt{\frac{x}{2}}\) Detailed Solutiondiagonal of a square(x) = y√2y in terms of x → y = \(\frac{x}{√2}\) |
|
53. |
Find the curved surface area of a cone of radius 3cm and slant height 7cm (\(take \pi = \frac{22}{7}\) A. \(22cm^2\) B. \(44cm^2\) C. \(66cm^2\) D. \(132cm^2\) E. \(198cm^2\) Detailed SolutionCurved surface area of a cone \(= \pi rt\\\frac{22}{7}\times 3\times 7 = 66cm^2\) |
|
54. |
In the diagram above, |PQ| = |PR| = |RS| and ∠RSP = 35o. Find ∠QPR A. 70o B. 50o C. 45o D. 40o E. 35o |
D |
55. |
P varies inversely as Q. The table above shows the value of Q for some selected values of P A. 4 B. 9 C. 15 D. 16 E. 144 |
D |
56. |
Three of the angles of a hexagon are each Xo. The others are each 3Xo. Find X A. 30o B. 40o C. 60o D. 80o E. 120o |
C |
57. |
Evaluate \(\sqrt{20}\times (\sqrt{5})^3\) A. 10 B. 20 C. 25 D. 50 Detailed Solution\(\sqrt{20}\times (\sqrt{5})^3\\2\sqrt{5}\times \sqrt{5}\times \sqrt{5}\times \sqrt{5}=2\times 5\times 5 = 50\) |
|
58. |
If P = {3, 7, 11, 13} and Q = {2, 4, 8, 16}, which of the following is correct A. \((P\cap Q)^l={2, 3, 4, 13}\) B. \(n(P\cup Q)=4\) C. \(P\cup Q = \emptyset\) D. \(P\cap Q = \emptyset\) |
D |
59. |
It is observed that \(1 + 3 = 2^2, 1 + 3 + 5 = 3^2, 1 + 3 + 5 + 7 = 4^2. \\If \hspace{1mm}1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 = P^2 find\hspace{1mm}P\) A. 6 B. 7 C. 8 D. 9 Detailed Solution1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 = 64where 64 = 8^2 That is P is 8 |
|
60. |
Evaluate \(3.0\times 10^1 - 2.8\times 10^{-1}\)leaving the answer in standard form A. \(2\times 10^{-1}\) B. \(2\times 10^{2}\) C. \(2.972 \times 10^{1}\) D. \(2.972 \times 10^{2}\) |
C |