Answer: A) 416 Explanation: The given number series is  21 56 102 160 231 316   21      56       102        160      231       316         416    +35    +46       +58       +71      +85       +100         +11      +12       +13      +14      +15   Hence, the next number in the given number series is 316 + 100 = 416.

Answer: A) Bundle Explanation: Here the relation between the given words is that the second word is the collection of the first word. As the collection of grains is called Stock, similarly, the collection of sticks is called as Bundle.   Hence, Grain : Stock :: Stick : Bundle.

Answer: D) All of the above Explanation: Laissez-faire is simply a way to describe a government's hands-off approach to economic policies. This approach was particularly prevalent in the United States at the turn of the 20th century, which led to numerous issues within American manufacturing.   There are many outcomes of laissez-faire economic policies. Some of the outcomes of laissez-faire economics were: * Businesses pay workers low. * Pollution of air and water. * Poverty traps that cannot be escaped through free choice.  * General glut that results from overproduction or underconsumption * Monopoly power that emerges naturally in the market and allows businesses to exploit consumers.  * Exploitation of the working class that pushes wages down to subsistence and compels laborers to work in harsh and unsafe conditions.  * External economies that generate situations where desirable goods are underproduced on the market, and undesirable goods are overproduced on the market.  * Public goods that are not supplied by the market due to free-rider problems.

Answer: C) Nuts Explanation:

Answer: B) 2 Explanation: Given a2 + b2 = c2   Now  1logc+ab  + 1logc-ab    = logbc+a + logbc-a   = logbc2-a2 = 2logbb = 2

Answer: B) 40 yrs Explanation: Let the present ages of Ajay and Vijay be 'A' and 'V' years respectively. => A - 8 = 4/3 (V - 8) and A + 8 = 6/5 (V + 8) => 3/4(A - 8) = V - 8 and 5/6(A + 8) = V + 8 V = 3/4 (A - 8) + 8 = 5/6 (A + 8) - 8 => 3/4 A - 6 + 8 = 5/6 A + 20/3 - 8 => 10 - 20/3 = 10/12 A - 9/12 A => 10/3 = A/12 => A = 40.

Answer: A) 3:2 Explanation: Concentration of glucose are in the ratio = 12:35:45 Quantity of glucose taken from A = 1 liter out of 2 Quantity of glucose taken from B = 3/5 x 3 = 1.5 lit Quantity of glucose taken from C = 0.8 lit So, total quantity of glucose taken from A,B and C = 3.6 lit So, quantity of alcohol = (2 + 3 + 1) - 3.6 = 2.4 lit Ratio of glucose to alcohol = 3.6/2.4 = 3:2

Answer: C) Backup file Explanation: In computing, ".bak" is a filename extension commonly used to signify a backup copy of a file.