Q. 2: If x is a positive quantity such that 2^x = 3^log(base5)^2 , then x is equal to? 1. log(base5)^9 2. 1 + log(base5) 3/5 3. log(base5)^8 4. 1 + log(base3) 5/3

Or x = log 3/log 5 = log(base5) 3 = 1+ log(base5) 3/5

Q. 3: While multiplying three real numbers, Ashok took one of the numbers as 73 instead of 37. As a result, the product went up by 720. Then the minimum possible value of the sum of squares of the other two numbers is

Q. 4: Points E, F, G, H lie on the sides AB, BC, CD, and DA, respectively, of a square ABCD. If EFGH is also a square whose area is 62.5% of that of ABCD and CG is longer than EB, then the ratio of length of EB to that of CG is 1. 2 :5 2. 4 :9 3. 3 :8 4. 1 :3

Q. 5: A right circular cone, of height 12 ft, stands on its base which has diameter 8 ft. The tipof the cone is cut off with a plane which is parallel to the base and 9 ftfrom the base. With π = 22/7, the volume, in cubic ft, of the remaining part of the coneis