Answer: A) (1/2)^11 Explanation: Probability of occurrence of an event,  P(E) = Number of favorable outcomes/Numeber of possible outcomes = n(E)/n(S) ⇒ Probability of getting head in one coin = ½,  ⇒ Probability of not getting head in one coin = 1- ½ = ½,  Hence,  All the 11 tosses are independent of each other. ∴ Required probability of getting only 2 times heads =122×129=1211

Answer: B) 8 % Explanation: Let the price of 1 litre of diesel be Rs.x and let Karthik initially buy 'y' litres of diesel. Therefore, he would have spent Rs. xy on diesel. When the price of diesel increases by 25%, the new price per litre of diesel is 1.25x. Karthik intends to increase the amount he spends on diesel by 15%.i.e., he is willing to spend xy + 15% of xy = 1.15xy Let the new quantity of diesel that he can get be 'q'.Then, 1.25x x q = 1.15xyOr q = (1.15/1.25)y = 0.92y. As the new quantity that he can buy is 0.92y, he gets 0.08y lesser than what he used to get earlier. Or a reduction of 8%.

Answer: C) 1001 Explanation: Here by trial and error method, we can obseve that 404404 = 404 x 1001; 415415 = 415 x 1001, etc. So, any number of this form is divisible by 1001.

Answer: B) 204 m Explanation: To find the minimum distance, we have to get the LCM of 75, 80, 85 Now, LCM of 75, 80, 85 = 5 x 15 x 16 x 17 = 20400 Hence, the minimum distance each should walk so that thay can cover the distance in complete steps = 20400 cms = 20400/100 = 204 mts.

Answer: B) 23 Explanation: Calculating Age has 2 conditions. Let your Birthday is on January 1st. 1. If the month in which you are born is completed in the present year i.e, your birthday, then Your Age = Present year - Year you are born  As of now, present year = 2018 i.e, Age = 2018 - 1995 = 23 years.   2. If the month in which you are born is not completed in the present year i.e, your birthday, then Your Age = Last year - Year you are born As of now, present year = 2018 i.e, Age = 2017 - 1995 = 22 years.

Answer: C) 400 Explanation: Given length of iron rod =7 mts and  and diameter of rod = 2 cms  => r = 1/100 mts Therefore,  Volume of one rod = πr2h cu. m =  227×11002×7cu. m = 115000 cu. m Given volume of iron = 0.88 cu. m  Therefore, Number of rods = 0.88×500011 = 400.

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.

Answer: A) 25200 Explanation: Number of ways of selecting (3 consonants out of 7) and (2 vowels out of 4) =( C37×C24 ) = 210. Number of groups, each having 3 consonants and 2 vowels =210 Each group contains 5 letters. Number of ways of arranging 5 letters among themselves = 5! = 120.  Required number of words = (210 x 120) = 25200.