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In the following questions numbered 1 to 20, a question is followed by data in the form of two statements labelled as (I) and (II). You must decide whether the data given in the statements are sufficient to answer the questions.
For integers p, q, r, is p < q ?
(I) q < p + r.
(II) $$P^{3} + q^{3} + r^{3} = 0$$.
Is the positive integer p divisible by 1155?
(I) 165 divides p.
(II) 735 is a factor of p.
How many triangles can be formed using the given points in a plane?
(I) There are 10 points given in the plane.
(II) No three given points are collinear.
What is the price of a chair?
(I) The price of a chair and a table is Rs.7500.
(II) The cost of two chairs is Rs.5000.
What is the value of the odd positive integer n?
(I) 30 < 7n < 45
(II) 75 > 3n > 33
Is 10, a factor of n + 5 ?
(I) n is an odd number and divisible by 9.
(II) n is an even number and divisible by 5.
What is the cost of laying an outer circular track around a circular ground?
(I) The width of the track is 3 meters.
(II) The cost of the laying the track is Rs.500/- per square meter.
What is the sum of the first 20 terms of an Arithmetic Progression?
(I) The common difference of the Arithmetic Progression is 5.
(II) The $$5^{th}$$ and the $$7^{th}$$ term of Arithmetic Progression are 13 and 17 respectively.
If a = 5 , what is the average of a, b and c ?
(I) The difference between b and c is 8.
(II) The sum of b and c is 19.
If m, n are positive integers, is mn an even number?
(I) m + n is an even number.
(II) m + n is an odd number.
