Q1 The first three terms of an AP respectively are 3y – 1, 3y + 5 and 5y + 1. Then y equals: (A) –3 (B) 4 (C) 5 (D) 2 Solution: (C) 5 Q2 In Fig. 1, QR is a common tangent to the given circles, touching externally at the point T. The tangent at T meets QR at P. If PT = 3.8 cm, then the length of QR (in cm) is : (A) 3.8 (B) 7.6 (C) 5.7 (D) 1.9 Solution: (B) 7.6 Q3 In Fig. 2, PQ and PR are two tangents to a circle with centre O. If ∠QPR = 46°, then ∠QOR equals: (A) 67° (B) 134° (C) 44° (D) 46° Solution: (B) 134° Q4. A ladder makes an angle of 60° with the ground when placed against a wall. If the foot of the ladder is 2 m away from the wall, then the length of the ladder (in metres) is: (A) 43 (B) 43 (C) 22 (D) 4 Solution: (D) 4 Q5 If two different dice are rolled together, the probability of getting an even number on both dice, is: (A) 136 (B) 12 (C) 16 (D) 14 Solution: (D) 14
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