Answer: A) 450.187 Explanation: Pattern is 3 3 x 3.5 = 10.5 10.5 x 3.5 = 36.75 36.75 x 3.5 = 128.625 128.625 x 3.5 = 450.187

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: B) 63 Explanation: Here the series follows the pattern that, product of succesive prime numbers i.e,  2 × 3 = 6  3 × 5 = 15  5 × 7 = 35  7 × 11 = 77  11 × 13 = 143  13 × 17 = 221  17 × 19 = 323 So here in place of 77 the number 63 is written. So the wrong number is 63.

Answer: C) 81 Explanation: The series follows the following pattern.   4   16 = 42   37 = 12+62   58 = 32+72   81 ≠52+82.   Here every number is based on the digits of previous number. Hence, 81 is the wrong number in the given series.

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: B) 392 Explanation: The sum of the digits in 708, 618 and 816 is 15, but not in 392.

Answer: B) 72 Explanation: With close observation, you will note that each number in the list is in the middle of two prime numbers. Thus: 4 is in the middle of 3 and 5, 6 is in the middle of 5 and 7, 12 is in the middle of 11 and 13, 18 is in the middle of 17 and 19, 30 is in the middle of 29 and 31. 42 is in the middle of 41 and 43, 60 is in the middle of 59 and 61. Therefore, the next number would be the one that is in the middle of the next two prime numbers, which is 72 (which is in the middle of 71 and 73).

Answer: D) Narendra Modi Explanation: The President expressed his gratitude to The Statesman for bringing out a photo essay on the 13th Presidency. He appreciated the wonderful photos taken by Shri Varun Joshi from The Statesman that feature in the photo essay. Prime Minister, Shri Narendra Modi said that the photo essay was important from the historical perspective.