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) E C F A D B Explanation:

Answer: C) Engine Explanation: Food is processed by the stomach to provide energy for the functioning of the body.Similarly, fuel is processed by the engine to provide energy for the functioning of automobile.

Answer: C) erase Explanation:

Answer: D) 31.68 years Explanation: We know that 1 year = 365.25 days 1 day = 24 hours 1 hour = 60 minutes 1 minute = 60 seconds   => 1 Year = 365.25 x 24 x 60 x 60 Seconds But 1 billion seconds = ? 1 Year = 365.25 x 24 x 60 x 60 Seconds     ?     =  1000000000 Seconds   ? = 1000000000365.25 x 24 x 60 x 60 years = 31. 68 years.

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: A) 24 Explanation: Given that the month begins on a Friday and has 31 days   Sundays = 3rd, 10th, 17th, 24th, 31st=> Total Sundays = 5   Every second & fourth Saturday is holiday. 2nd & 4th Saturday in every month = 2   Total days in the month = 31   Total working days = 31 - (5 + 2) = 24 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