Answer: D) 420 Explanation: The given number series 410, 409, 413, 404, ? , follows a pattern that  410 410 - 13 = 409409 + 22 = 413413 - 33 = 404404 + 42 = 420   Hence, the next number in the given series is 420.

Answer: B) 3.125 % Explanation: Taking the 2 investments to be 3x and 5x respectivelyTotal income of Raghu = (3x) x 1.25 + (5x) x 0.9 = 8.25Therefore, Gain% = 0.25/8 x 100 = 3.125 %.

Answer: C) 166252 Explanation: Given 92613 x 62742241 = ? + 89   Using unit digit method,   On LHS,   1 x 1 x 1 = 1   sqrt of last digit 1 => it must end with either 9 or 1   so now   1 x 1 = 1   1 x 9 = 9   On RHS,   ? + 89   => ? = ...1 - 89 = last digit is 11- 9 = 2   or   => ? = ...9 - 89 = last digit is 9 - 9 = 0   Here in the options last digit 2 is option C.

Answer: D) 12 6/7 days Explanation: Let 'B' alone can do the work in 'x' days 6/30 + 18/x = 1 => x = 22.5   1/30 + 1/22.5 = 7/90  => 90/7 = 12 6/7 days

Answer: C) 13 days Explanation: Ratio of times taken by A and B = 100 : 130 = 10 : 13.Suppose B takes x days to do the work. Then, 10 : 13 :: 23 : x     =>     x = ( 23 x 13/10 )     =>     x = 299 /10. A's 1 day's work = 1/23 ;B's 1 day's work = 10/299 . (A + B)'s 1 day's work = ( 1/23 + 10/299 ) = 23/299 = 113 . Therefore, A and B together can complete the work in 13 days.

Answer: C) 8, 4 Explanation: Let the number of girls = x => x + x + 4 = 12 => 2x = 8 => x = 4 => Number of girls = 4 => Number of boys = 4 + 4 = 8

Answer: D) 0 Explanation: Let assume the value of a,b &c that will satisfy the equation.so a=1,b=1,c= -1 or a=1,b= -1 &c=1 or a= -1,b=1,c=1here all three cases satisfy the equationassume any one a=1,b=1,c= -1 Hence (a+b)(b+c)(c+a)=(1+1)(1-1)(-1+1) = 0

Answer: D) Rs. 960 Explanation: Let C.P. = Rs. C. Then, 832 - C = C - 4482C = 1280 => C = 640Required S.P. = 150% of Rs. 640 = 150/100 x 640 = Rs. 960.