Which of the following is not a property of all parallelogram?

• A. the diagonal bisects each other
• B. Each diagonal bisects the area
• C. the diagonal cut at right angles
• D. The opposite sides are equal

Two cards are drawn one after the other with replacement from a well-shuffled ordinary deck of 52 cards containing four Aces. Find the probability that they are both Aces

• A. 1/221
• B. 1/169
• C. 1/52
• D. 1/26

In the diagram below, PQ is the tangent to the circle RST at T.|ST| = ST and ?RTQ = 68^o. Find ?PTS

• A. 68^o
• B. 62^o
• C. 61^o
• D. 56^o

cos 57^o has the same value as

• A. sin 213^o
• B. -cos 303^o
• C. sin 147^o
• D. cos 123^o

Evaluate \( \frac{27^{\frac{1}{3}}}{16^{-\frac{1}{4}}} \)

• A. 6
• B. 5
• C. 4
• D. 3

The diagram below shows a circle PQRS in which ?PRQ = 54^o and ?SPQ = 97o. Find ?PQS

• A. 61^o
• B. 51^o
• C. 43^o
• D. 29^o

If sin\( \theta \) = K find tan\(\theta\), 0° \(\leq\) \(\theta\) \(\leq\) 90°.

• A. 1-K
• B. \( \frac{k}{k - 1} \)
• C. \( \frac{k}{\sqrt{1 - k^2}} \)
• D. \( \frac{k}{1 - k} \)

A ladder 6m long leans against a vertical wall so that it makes an angle of 60^o with the wall. Calculate the distance of the foot of the ladder from the wall

• A. 3m
• B. 6m
• C. 2√3m
• D. 3√3m

Which of the following scientists postulated that moving particles exhibit wave properties?

• A. Niels Bohr
• B. Ernest Rutherford
• C. Werner Heisenberg
• D. Louis de Broglie

A cuboid of base 12.5cm by 20cm holds exactly 1 litre of water. What is the height of the cuboid? (1 litre =1000cm³)

• A. 2cm
• B. 4cm
• C. 5cm
• D. 8cm