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: D) 6 days Explanation: 4/10 + 9/x = 1     => x = 15    Then both can do in  1/10 + 1/15 = 1/6     => 6 days

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: 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: 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.

Answer: D) Nest Explanation: Here the first two words are synonyms. Similarly, Eyrie means a large nest. So, the synonym of Eyrie is nest.   Hence, Convent : Cloister :: Eyrie : Nest.

Answer: B) VPCVZRL Explanation: ROUTINE IS 7 LETTER WORD.. (1st=R,2nd=O,3rd=U,4th=T,5th=I,6th=N,7th=E)1st and 3rd letter interchanging. (UORTINE)5th and 7th letter interchanging. (UORTENI)1st letter shifting one after that (VORTENI)2nd letter shifting two befor that (VMRTENI)3rd letter remains same (VMRTENI)4th letter(total alphabets - current)+1(26 - 20)+1= 7.(i.e) G (VMRGFNI)5th letter shifting one after that (VMRGFNI)6th letter shifting two befor that (VMRGFLI)7th letter remains same (VMRGFLILike that,CRUELTY IS 7 LETTER WORD.. (1st=C,2nd=R,3rd=U,4th=E,5th=L,6th=T,7th=Y)1st and 3rd letter interchanging. (URCELTY)5th and 7th letter interchanging. (URCEYTL)1st letter shifting one after that (VRCEYTL)2nd letter shifting two befor that (VPCEYTL)3rd letter remains same (VPCEYTL)4th letter (total alphabets - current)+1(26 - 5)+1= 22.(i.e) V (VPCVYTL) 5th letter shifting one after that (VPCVZTL)6th letter shifting two befor that (VPCVZRL)7th letter remains same (VPCVZRL).

Answer: D) ²²C₁₀ - 1 Explanation: The total number of ways of forming the group of ten representatives is ²²C₁₀. The total number of ways of forming the group that consists of no seniors is ¹⁰C₁₀ = 1 way The required number of ways = ²²C₁₀ - 1