Answer: A) line segment Explanation: As parabola is a locus of a point, which moves so that its distance from focus and directrix is always equal.   The latus rectum of a conic section is the chord (line segment) that passes through the focus, is perpendicular to the major axis and has both endpoints on the curve. The length of the latus rectum is determined differently for each conic.                                          The length of a parabola's latus rectum is 4p, where p is the distance from the focus to the vertex.

Answer: D) Checks and Balances Explanation: A procedure or method called Checks and Balances stops one branch of government from becoming too powerful. In the United States, there are three branches of government: The Executive, Legislative, and Judicial.   Each has its own responsibilities and at the same time they work together to make the country run smoothly and to assure that the rights of citizens are not ignored or disallowed.   There is a clear separation of powers between them.   Checks and Balances limit the power within each branch.   Each branch can stop and/or override processes within other branches in manners that are outlined in federal laws, regulations, and the constitution.   This way, their powers are balanced because the branches of government have the responsibility to check each other.

Answer: A) -4 (1/17) Explanation: Given fraction is 5 (2/7) - 3 (1/14) - 2 (1/14) - 1 (1/7) = ? + 3 (1/17)  It can be written as  (5 - 3 - 2 - 1) + (2/7 - 1/14 - 1/14 - 1/7) = ? +  3 (1/17)  -1 + 0 - 3 (1/17) = ? => ? = -4 (1/17)

Answer: B) 1962 Explanation: Arithmetic Series ::   An Arithmetic Series is a series of numbers in which each term increases by a constant amount.   How to find the sum of the Arithmetic Sequence or Series for the given Series ::   When the series contains a large amount of numbers, its impractical to add manually. You can quickly find the sum of any arithmetic sequence by multiplying the average of the first and last term by the number of terms in the sequence.   That is given by Sn = n(a1 + an)2 Where n = number of terms, a1 = first term, an = last term   Here Last term is given by an = a1 + n-1d where d = common difference   Now given Arithmetic Series is    2, 5, 8, 11,...   Here a1 = 2,  d = 3, n = 36    Now, an= a1 + n - 1d a36= 2 + 36 - 13 = 105 + 2 = 107    Now, Sum to 36 terms is given by   S36 = 36(2 + 107)2 = 36 x 1092 = 39242 = 1962       Therefore, Sum to 36 terms of the series 2, 5, 8, 11,... is 1962.

Answer: B) Ganga Explanation: India is a land of rivers. Rivers are generally treated as mothers and almost every major river of India has a legend regarding its origin.   The Ganges or Ganga is the longest river of India, if we consider the total distance covered by a river within India. Two major rivers of the Indian subcontinent – Brahmaputra and Indus – are though longer than the Ganges, but the distances these two rivers cover within India are much shorter than that of the Ganges. The Ganges is the most sacred river to the Hindus. The Ganges originates from Gangotri Glacier (Uttarakhand). The total length that the Ganges covers during its journey is 2,525 kilometers (1569 miles) before it discharges in the Bay of Bengal.   The Godavari, also known as 'Dakshin Ganga' – the South Ganges, is the second longest river of India. It originates from Triambakeshwar, Nasik (Maharashtra), and travels through Chhattisgarh, Telangana and Andhra Pradesh, before discharging into Bay of Bengal.

Footsteps.  Yes, as you walk forward, you will leave the footstep behind you.

Answer: B) FALSE Explanation: The given statement is False. Wild animals are considered as a natural resource. Natural resources are resources taken from nature to satisfy our needs. These natural resources are: 1) Air 2) Water 3) Soil 4) Plants 5) Animals 6) Minerals 7) Forests 8) Natural Gas 9) Coal 10) Petroleum.

Answer: A) 91 Explanation: Prime Numbers :: Numbers which are divisible by only 1 and itself are Prime Numbers.   It's answer will be 91. Because 91 can be divisible by 7,13,91,1. It is quite clear that prime number should be divisible only by itself and by 1.