Answer: B) 1962 Explanation: Arithmetic Series ::   An Arithmetic Series is a series of numbers in which each term increases by a constant amount.   How to find the sum of the Arithmetic Sequence or Series for the given Series ::   When the series contains a large amount of numbers, its impractical to add manually. You can quickly find the sum of any arithmetic sequence by multiplying the average of the first and last term by the number of terms in the sequence.   That is given by Sn = n(a1 + an)2 Where n = number of terms, a1 = first term, an = last term   Here Last term is given by an = a1 + n-1d where d = common difference   Now given Arithmetic Series is    2, 5, 8, 11,...   Here a1 = 2,  d = 3, n = 36    Now, an= a1 + n - 1d a36= 2 + 36 - 13 = 105 + 2 = 107    Now, Sum to 36 terms is given by   S36 = 36(2 + 107)2 = 36 x 1092 = 39242 = 1962       Therefore, Sum to 36 terms of the series 2, 5, 8, 11,... is 1962.

Answer: C) 2/7 Explanation: P( only one of them will be selected) = p[(E and not F) or (F and not E)]   = PE∩F∪F∩E    = PEPF+PFPE    =17×45+15×67=27

Answer: C) 0.67 Explanation: To convert a fraction into decimal, just take the number on top which we called the numerator and divide it by the number at the bottom which we called the denominator. 2/3 How it comes : 2 ÷ 3 = 0 bring down the decimal point. 20 ÷ 3 = 6 and carry the remainder 2 to make 20 20 ÷ 3 = 6 and carry the remainder 2 to make 20 20 ÷ 3 = 6 and carry the remainder 2 to make 20 etc... This gives the recurring decimal 0.6666... If we round off to two decimals , then it becomes 0.67.   Hence, decimal fraction of 2/3 = 0.67.

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: 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: A) 3/2 Explanation: The number of exhaustive events = 100 C₁ = 100. We have 25 primes from 1 to 100. Number of favourable cases are 75. Required probability = 75/50 = 3/2.

Answer: A) 49 kmph Explanation: Speed of the train relative to man = (125/10) m/sec = (25/2) m/sec. [(25/2) x (18/5)] km/hr = 45 km/hr. Let the speed of the train be 'x' km/hr. Then, relative speed = (x - 4) km/hr. x - 4 = 45 => x = 49 km/hr.

Answer: C) 6.66 % Explanation: Let the principle be Rs. PAs the amount double itself the interest is Rs. P tooSo P = P x r x 15/100=> r = 100/15 = 20/3 % = 6.66 %.