Answer: B) 13 Explanation:  Let   Let x=333 = 333    Then, logx = 33 log3     = 27 x 0.47712 = 12.88224    Since the characteristic in the resultant value of log x is 12   ∴The number of digits in x is (12 + 1) = 13    Hence the required number of digits in 333is 13.

Answer: C) 84 Explanation: Given total sum = Rs. 427And given that 3 times A’s share, 4 times B’s share and 7 times C’s share are all equal.=> 3A = 4B = 7CBut given=> A + B + C = 427Now express A and B in terms of C i.e=> (7C/3) + (7C/4) + C = 427=> C = 84

Answer: C) 1 Explanation: Given that, 4198+612345+34866+2411+1 Now Power Cycle of 4 is 4, 6  6 is 6  8 is 8, 4, 2, 6 1 is 1   4198- 198 is even number , So the unit digit value is 6    612345 - It is always 6   34866-  66/4 the remainder is 2 , So the second value is 4   2411- 11 is odd number, So the unit digit value is 4   1 - It is always 1  Total = 21   Therefore, The unit digit is 1

Answer: A) 27 sec Explanation: Time taken to meet for the first time anywhere on the track = length of the track / relative speed = 300 / (15 + 25)5/18 = 300x 18 / 40 x 5 = 27 seconds.

Answer: C) 28 Explanation: Three persons A, B, C can be arranged in a queue in six different ways, ie ABC, CBA, BAC, CAB, BCA, ACB. But since there are only 3 persons ahead of C, so C should be in front of the queue. Thus, there are only two possible arrangements, ie CBA and CAB.   We may consider the two cases as under: Case I:  ←3C↔8B↔5A→21   Clearly, number of persons in the queue = (3+1+8+1+5+1+21=) 40   Case II:  ←3C A↔5B   Number of persons between A and C                     = (8 - 6) = 2    ∵[C↔8B A→21B]   Clearly number of persons in the queue = (3+1+2+1+21) = 28   Now, 28 < 40. So, 28 is the minimum number of persons in the queue.

Answer: B) Archaeology Explanation: Archaeology is the science which studies ancient societies based on their material remains. Through the analysis of objects and those works constructed by ancient peoples, this science can arrive at conclusions about their culture and their ways of life. There are several branches of Archaeology as well as many tools relevant to this science.

Answer: B) Masculine titles Explanation: As they are the titles of male gender, they are called as Masculine titles.

Answer: A) Hydrogen Explanation: Hydrogen gas is used for making vegetables and vanaspathi from vegetable oils. As it is colourless, odourless, tasteless, flammable gaseous substance, it is added to oils to make them more solid or spreadable. The use of hydrogenation helps to prolong the shelf life of the food and maintain flavour stability.