Directions: Each of the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer:
A surveyor draw three parallel straight lines on a Paper for a land survey. Two points P1 and P2 are marked on the first straight line, points P3 and P4 are marked on the second straight line and points P5 and P6 are marked on the third straight line. Each of these six points can move to any positions on its respective straight line.
Statement I: The maximum number of triangle that can be drawn by joining these points is 18.
Statement II: The minimum number of triangles that can be drawn by joining these points is zero.
The maximum triangles would be in case all these 6 points are non-collinear. In such a case the number
of triangles is ^{6}C_{3}
=
6 × 5 × 4
= 20
1 × 2 × 3
Hence, statement I is incorrect.
In other case if surveyor take the position that P1 and P2 coincide on the first straight line, P3 and P4 coincide on the second straight line, P5 and P6 coincide on the third straight line and all these coincidences happen at 3 points which are on the same straight line in such a case there would be 0 triangles formed.
Prem and Ramesh started from two cities Patna and Allahabad respectively, traveling at constant speeds, to reach Allahabad and Patna respectively. At what time will they meet?
Statement I: The distance between Patna and Allahabad is 250 km. Prem travels at 50 km/hr and Ramesh travels at 25 km/hr
Statement II: Prem started from Patna at 5:00 a.m. and reached Allahabad at 11:00 a.m. Ramesh started from Allahabad at 7:00 a.m. and reached Patna at 3.00 p.m.
Ganpat is a oil trader, he mixes two varieties of oil in the ratio of 1 : 4. By selling the mixture at 14.40 per kg he gets a profit of more than 20%. Is the cost of the dearer variety, which is mixed, more than 20 per kg?
Statement I: The cost of the cheaper variety of oil mixed is 10 per kg.
Statement II: For every 1 kg of the cheaper variety of oil he mixed 4 kg of the dearer variety of oil.
During a three-years period, viz. 2010, 2011 and 2012. The profits of Bharti Airtel changed by what percent from the 2011 to 2012?
Statement I: The increase in profits of Bharti Airtel from the year 2010 to the year 2011 was the same as the increase from the year 2010 to the year 2012.
Statement II: For Bharti Airtel the profits for the year 2010 were Rs. 13000 crore and the profits for the year 2012 were Rs. 14000 crore.
The increase in profits was the same from year 2010 to 2011 as from year 2010 to 2012. This statement is a tricky statement that most people under-leverage. At first moment after watching, it appears insufficient but a careful analysis shows that this information proves that there was no change from year 2011 to year 2012. The only way that the change could be the same from year 2010 to the year 2011 as from year 2010 to year 2012 is with a zero percentage change from year 2011 to year 2012.
So, statement I alone is sufficient to answer the question.
From Statement II:
The profits in year 2010 were Rs. 13000 crore and in year 2012 were Rs. 14000 crore.
So, the increase in profits from year 2010 to 2012 = (14000 – 13000) = 1000 crore
We can calculate the percentage gain from year 2010 to year 2012.
But it is not possible to know how much of this increase occurred between year 2010 to 2011 versus year 2011 to 2012.
So, statement II alone is not sufficient to answer the question.