2546: In the figure shown below, what is the maximum number of different ways in which 8 identical balls can be placed in the small triangles 1, 2, 3 and 4 such that each triangle contains at least one ball?
(a) 32
(b) 35
(c) 44
(d) 56
2547: The supremacy and sovereignty of Khalifa of Baghdad was strictly observed by Muslim kings in India because:
(a) Khalifa was treated as religious head of the Muslim community.
(b) Khalifa was treated as the legal head of the Muslim community.
(c) All the Muslim States in the world used to pay tributes to him.
(d) He used to decide all the cases efficiently.
2548: There are three parallel straight lines. Two points A and B are marked on the first line, points C and D are marked on the second line, and points E and F are marked on the third line. Each of these 6 points can move to any position on its respective straight line.
Consider the following statements:
I. The maximum number of triangles that can be drawn by joining these points is 18.
II. The maximum number of triangles that can be drawn by joining these points is zero.
Which of the statements given above is/are correct?
(a) 1 only
(b) 2 only
(c) Both 1 and 2
(d) Neither 1 nor 2
2549: Which of the following statements regarding 'Green Climate Fund' is/are correct?
1. It is intended to assist the developing countries in adaptation and mitigation practices to counter climate change.
2. It is founded under the aegis of UNEP, OECD, Asian Development Bank and World Bank.
Select the correct answer using the code given beiow.
(a) 1 only
(b) 2 OnlY
(c) Both 1 and 2
(d) Neither 1 nor 2
2550: There are 6 persons A, B, C, D, E and F. they are to be seated in a row such that B never sits anywhere ahead of A, and C never sits anywhere ahead of B. In how many different ways can this be done?
(A) 120
(B) 72
(C) 60
(D) None