Answer: C) 4 : 5 Explanation: Let their present ages be 13x and 17x.Then, 13x-4/17x-4 = 11/15. Solving this, we get x = 2.Required ratio = 13x2 + 6/17x2 + 6 = 32/40 = 4/5.

Answer: B) 54055 Explanation: Here the given series follows a pattern that, multiplying the number with odd numbers in decreasing order starting with 13. That is,   6 × 13 = 78   65 × 11 = 858   858 × 9 = 7722   7722 × 7 = 54054   54054 × 5 = 270270   Hence, the wrong number is 54055

Answer: B) 15 Explanation: Here crossing is AaBbCc x AaBbCc As it is trihybrid cross, we know, Number of zygotes formed = 4n, where n = 3 43 = 64 Given ratio of offsprings = 1 : 6 : m : 20 : m : 6 : 1 Now,  1 + 6 + m + 20 + m + 6 + 1 = 64 34 + 2m = 64 2m = 30 => m = 15.

Answer: B) All living cells arise from pre-existing cells Explanation: All living cells arise from pre-existing cells is one component of the cell theory.   The Cell Theory is one of the basic principles of biology.   The Cell Theory states: 1. All living organisms are composed of cells. They may be unicellular or multicellular. 2. The cell is the basic unit of life. 3. Cells arise from pre-existing cells.

Answer: B) 168 Explanation: we can select the 5 member team out of the 8 in 8C5 ways = 56 ways. The captain can be selected from amongst the remaining 3 players in 3 ways. Therefore, total ways the selection of 5 players and a captain can be made = 56x3 = 168 ways.   (or)   Alternatively, A team of 6 members has to be selected from the 8 players. This can be done in 8C6 or 28 ways. Now, the captain can be selected from these 6 players in 6 ways. Therefore, total ways the selection can be made is 28x6 = 168 ways.

Answer: A) Diamond Explanation: Diamond is the hardest substance available on Earth. Diamond is the hardest substance available on Earth due to the giant molecular structure of diamond in which each carbon atom is covalently bonded to four other carbon atoms. A covalent bond is very strong and requires a large amount of energy to break itself, and diamond has many covalent bonds.

Answer: B) 32 Explanation: Here the given series follows a pattern that, 22 - 0 = 4   32 - 1 = 8   42 - 2 = 14 52 - 3 = 22 62 - 4 = 32 Hence, the missing number is 32     Method 2 :: The difference between 4 and 8 is 4, the difference between 8 and 14 is 6, the difference between 14 and 22 is 8. So the next difference between 22 and the next number will be 10 since it follows (4,6,8,10 - add +2 each time) Hence, 22 + 10 = 32 is the missing number.

Answer: A) Rs. 28,000 Explanation: Investments ratio is = 3:1Time period ratio is = 2:1 As they are proportional to gain ------Gain ratio of Vishal and raghu = 6:1 But given Raghu got Rs. 4000,  =? 1 ----- 4000     7 -----    ? => Rs.28,000 The total gain = Rs.28,000