TESTfunda - CAT Question of the Day 16-Jun-12

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Testfunda
16-Jun-12
CAT Question of the Day
In a right angle triangle ABC, ∠A = 50°, ∠B = 90°. AQ is angular bisector of A. P is the feet of perpendicular from Q on AC. Find ∠BPQ.
OPTIONS
 
 1)20°
 2)25°
 3)30°
 4)35°
Tip of the Day
In a triangle, the angle opposite to the longest side is the largest and the angle opposite to the shortest side is the smallest. If two sides are equal, then the corresponding angles are equal.
Last year's Question of the day (15-Jun-11)
Consider m Arithmetic Progressions with n terms each. The first terms of the APs are 1, 2, 3, 4, .... m − 1, m and their common differences are 1, 3, 5, 7, ..... 2m − 3, 2m − 1 respectively.
If Sr is the sum of all terms of the rth AP, find the value of S1 + S2 + S3 + .... + Sm-1 + Sm.
OPTIONS
 
 1)(mn ÷ 2) × (mn − 2n + 1)
 2)(mn ÷ 2) × (mn + 2n + 1)
 3)(mn ÷ 2) × (mn + 1)
 4)(mn ÷ 2) × (mnn2 + 1)
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