Answer: B) 20 Explanation: Since each number to be divisible by 5, we must have 5 0r 0 at the units place. But in given digits we have only 5.   So, there is one way of doing it.   Tens place can be filled by any of the remaining 5 numbers.So, there are 5 ways of filling the tens place.   The hundreds place can now be filled by any of the remaining 4 digits. So, there are 4 ways of filling it.   Required number of numbers = (1 x 5 x 4) = 20.

Answer: C) 18.5 Explanation: The given series pattern follows   17       9       10       18.5       35       90   × 0.5 + 0.5,   × 1 + 1,   × 1.5 + 1.5,   × 2 + 2,   × 2.5 + 2.5   So here    17x0.5 + 0.5 = 9   9x1 + 1 = 10   10x1.5 + 1.5 = 16.5   16.5x2 + 2 = 35   35x2.5 + 2.5 = 90   Here the odd man in the given series is 18.5

Answer: A) 50% Explanation: CP of 1000gm = Rs. 10SP of 800gm = Rs. 12SP of 1000gm =12x1000/800 = Rs. 15 Now take 1000gm as reference to calculate profit.Profit=SP-CP=15-10=Rs. 5Profit % = 5x100/10 = 50%

Answer: A) Option A Explanation: Total number of flowers = (8+7+6) = 21.   Let E = event that the flower drawn is neither red nor green.  = event taht the flower drawn is blue.    --> n(E)= 7  --> P(E)=  721=13

Answer: D) 81.5 Explanation: Let the number of students in classes A, B and C be P, Q and R respectively.Then, total score of A = 83P, total score of B = 76Q, total score of C = 85R.Also given that,(83P + 76Q) / (P + Q) = 79=>4P = 3Q.(76Q + 85R)/(Q + R) = 81=>4R = 5Q,=>Q = 4P/3 and R = 5P/3Therefore, average score of A, B, C = ( 83P + 76Q + 85R ) / (P + Q + R) = 978/12 = 81.5

Answer: B) 26.6 days Explanation: Arun has completed 13rd of the work in 8 days Then he can complete the total work in 13 ---- 8  1 ---- ? = 24 days But given Akhil is only 60% as efficient as Arun Akhil =124×60100=140 Akhil can complete the total work in 40 days Now, remaining 2/3rd of work can be completed in  1  ------   40 23 ------   ?   = 26.66 days.

Answer: C) 13 Explanation: Given,  5sinx + 12cosx ≥ -r  ⇒13513sin x + 1213cos x ≥ -rcosx) ≥ -r  513= cosA => sinA =1213   => 13(sinx cosA + sinA cosx) ≥ -r   => 13(sin(x + A)) ≥ -r   we know that , -1 ≤ sin (angle) ≤ 1   => 13sin (x + A) ≥ -13 ⇒rmin =13

Answer: D) Rs. 32,292 Explanation: Almond Selling price = CP(1 + P%/100) => CP = 20000, SP = 23000 => 23000 = 20000 (1 + P/100) => P% = 100(23000/20000 - 1) = 15 Then, Olive's P% = 30% SP for Olive = CP for Sarah = 23000(1 + 30/100) = 29900 Now Sarah wants to earn profit of 8% => Sp for Sarah = 29900(1 + 8/100) = Rs. 32,292.