Answer: A) 10 yrs Explanation: Let C's age be x years. Then, B's age = 2x years. A's age = (2x + 2) years. (2x + 2) + 2x + x = 27 5x = 25 => x = 5 Hence, B's age = 2x = 10 years.

Answer: B) 30% Explanation: Let the M.R.P of an article be 100 %   Selling price of article =Rs. 17940   If he give a discount of 8 % then S.P = 92 % 92 % = 17490 100 % = 19500   Now C.P of the article is    17490 x 100/119.6 = 15000   If he did not give the discount, then    Required profit percentage =

Answer: A) 15 years Explanation: Let the present ages of Arun and Harish be 4x and 3x years respectively. Then, 4x + 6 = 26 => x = 5 Harish's age = 3x = 15 years.

Answer: B) 25 days Explanation: Let Q complete that work in 'L' days   => 1L + 1L-5 = 9100   => 9L2-245L+500=0   L = 25 days.

Answer: D) Rs.5000 Explanation: Let a, b and c be the amounts invested in schemes X, Y and Z respectively. Then, As we know: Simple interest (S.I.) = PTR/100 (a × 10 × 1/100) + (b × 12 × 1/100) + (c × 15 × 1/100) = 3200 = 10a + 12b + 15c = 320000 .........(1) Now, c = 240% of b = 12b/5 .........(2) And, c = 150% of a = 3a/2 => a = 2/3 c = (2 × 12)b/(3 × 5) = 8b/5 .......(3) From (1), (2) and (3), we have 16b + 12b + 36b = 320000 => 64b = 320000 => b = 5000 ∴ Sum invested in Scheme Y = Rs.5000.

Answer: B) 90,720 Explanation: The given word HAPPYHOLI has 9 letters These 9 letters can e arranged in 9! ways. But here in the given word letters H & P are repeated twice each Therefore, Number of ways these 9 letters can be arranged is  9!2! x 2! = 9 x 8 x 7 x 6 x 5 x 4 x 32 = 90,720 ways.

Answer: B) 7! x 6! Explanation: The students should sit in between two teachers. There are 7 gaps in between teachers when they sit in a roundtable. This can be done in 7P6ways. 7 teachers can sit in (7-1)! ways.    Required no.of ways is = 7P6.6! = 7!.6!

Answer: B) 12 Explanation: x128 = 162x   Then x2 = 162x128       = Sqrt of 82 x 62 x 32      = 8 x 6 x 3      x2  = 144.    x  = 12.