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1. When 4x^{3} – ax^{2} + bx – 4 is divided by (x – 2) and (x + 1), the respective remainders are 20 and –13. Find the value of a & b.

a = 3, b = 2

a = 2, b = 3

a = 3, b = 3

a = 2, b = 2

2. If the graph of the equation 4x + 3y = 12 cuts the coordinates axes at A and B, then hypotenuse of the right triangle AOB is of length.

4 units

3 units

5 units

None of these

3. PA and PB are tangents from P to the circle with centre O. At point M, a tangent is drawn cutting PA at K and PB at N, then AK + BN = ?

KP

NP

AK

KN

4. A right pyramid 6 m high has a square base of which the diagonal is 8.5m. Find its volume.

72.75 m^{3}

73.25 m^{3}

73.52 m^{3}

37.25 m^{3}

5. In a triangle ABC, AD bisects ∠A, AB = 12 cm, AC = 20 cm and BD = 5 cm. Find CD.

38.3 cm

8.33 cm

33.8 cm

38.8 cm