Let the two digits be x & y From given data in the question, we get x + y = 3(x - y) x + y = 3x - 3y => 2x = 4y x/y = 2/1 For having the 2:1, numbers satisfying are 12, 21, 24, 42, 36, 63, 48, 84 From this 36 is eleminated because it is a perfect square and no others are prime or perfect squares. Hence, there exists 7 such 2-digit numbers => 12, 21, 24, 42, 63, 48, 84.

Answer: A) Vitamin K Explanation: Vitamin K helps in clotting of blood. It is used by the body to help blood clot.   Warfarin (Coumadin) is used to slow blood clotting. By helping the blood clot, vitamin K might decrease the effectiveness of warfarin (Coumadin).

Answer: D) 40 Explanation: Present age of Sony = 24 + 4 = 28 years After 5 years Renuka's age = 7×5 + 5 = 40 years

Answer: A) 145 Explanation: 4       30       ?     1440       7195      71940   Here the given series follows a pattern of   4   4 x 10 - 10 = 30   30 x 5 - 5  = 145   145 x 10 - 10 = 1440   1440 x 5 - 5 = 7195   7195 x 10 - 10 = 71940   Hence, the missing number is 145

Answer: C) 48/5 days Explanation: Amount of work K can do in 1 day = 1/16 Amount of work L can do in 1 day = 1/12 Amount of work K, L and M can together do in 1 day = 1/4 Amount of work M can do in 1 day = 1/4 - (1/16 + 1/12) = 3/16 – 1/12 = 5/48 => Hence M can do the job on 48/5 days = 9 (3/5) days

Answer: A) Glass Explanation: Because the refractive index of glass is highest, light travels slowly in Glass.  We know that the speed of light depends on the refraction index. The higher the index of refraction is, the slower the speed of light is. R.I of air and vacuum = 0 (air is a teeny bit more but can be taken as 0) R.I of water = 1.33 R.I of glass = 1.4.   Hence, Light travels slowest in Glass.

Answer: C) sugars and phosphates Explanation: DNA is a double-stranded molecule twisted into a helix. The shape of DNA is a double helix, which is like a twisted ladder. The sides of the ladder are made of alternating sugar and phosphate molecules. Deoxyribose, which is a pentose, and a phosphate group are the two molecules together form the two sides of the DNA. The rungs of the ladder are pairs of 4 types of nitrogen bases.

Answer: B) Rs. 432 Explanation: Here Avinash gave to Rajeev and Rajeev gave the same to Chanukya Principal amount and Time is same but the only difference is Rate of interest. Rajeev took @ 8% and gave it to Chanukya @ 6% Here the difference in interest rate = 2% 2% of 5400 should be the extra amount paid by Rajeev to Avinash Required amount = 2 x 5400 x 4100 = 432   Hence, Rs. 432 is the extra amount has to be paid by Rajeev to Avinash after 4 years.