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.

Answer: A) 7.11 Explanation: 16 of 225 is =  16 = p × 225100p = 1600225 = 7.1111

Answer: A) 105 Explanation: Let number of pages in a book = p According to questions p - [3p/7 + (2/5 x 4p/7)] = 36 = p - 23p/35 = 36 => 12p = 36 × 35 p = 105

Answer: D) 36 Explanation: Given there are 9 flavours of ice creams.   Each child takes the combination of two flavours and no two children will have the same combination   This can be done by  ways i.e children.   Number of children=C29  = 9 x 8 / 1x 2 = 36.

Answer: D) Both a and b sufficient Explanation: Let the sum be Rs. x a. gives, S.I = Rs. 9000 and time = 9 years. b. gives, Sum + S.I for 6 years = 2 x Sum --> Sum = S.I for 6 years. Now, S.I for 9 years = Rs. 9000 S.I for 1 year = Rs. 9000/9 = Rs. 1000. S.I for 6 years = Rs. (1000 x 6)= Rs. 6000. --> x = Rs. 6000 Thus, both a and b are necessary to answer the question.

Answer: B) Rs. 8/kg Explanation: Let the selling price of the rice = Rs.P/kg Now, according to the question, 1040 - 100p = 30p => p = 8/kg   Hence, the selling price of the rice = Rs. 8/kg

Answer: C) 2:3 Explanation: Let p be the principle amount And R% be the rate of interest Then, required ratio =P×4×R100P×6×R100    ⇒4PR6PR= 2:3