SSC CGL Tier-2 25-October-2015 Maths

Average of n numbers is a. Thefirst number is increased by 2, second one is increased by 4, the third one is increased by 8 and so on. The average of the new number is

If $$ x = a  sin\theta - b  cos \theta, y = a cos \theta  + b sin \theta $$  , then which of the following is true?

Let  $$ x = \frac{\sqrt{13}  + \sqrt{11}}{\sqrt{13}  - \sqrt{11}}  and  y = \frac{1}{x} $$, then the value of  $$ 3x^2  - 5xy + 3y^2  is $$

If 64 buckets of water are removed from a cubical shaped water tank completely filled with water, 1/3 of the tank remains filled with water. The length of each side of the tank is 1.2 m. Assuming that all buckets are of the same measures then the volume (in litres) of water contained by each bucketis

In trapezium ABCD,AB|| CD and AB = 2CD.Its diagonals intersect at O. If the area of $$ \triangle AOB =  84  cm^2$$, then the area of $$ \triangle $$COD is equalto
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Water tax is increased by 20% but its consumption is decreased by 20%. Then the increase or decrease in the expenditure of the money is

A number when divided by 361 gives a remainder 47. If the same number is divided by 19, the remainder obtained is

If $$ \left(\frac{p^{-1}   q^2}{p^3   q^{-2}}\right)  + \left(\frac{p^{5}   q^{-3}}{p^{-2}   q^{3}}\right)^\frac{1}{3}  = p^a  q^b $$, then the value of a + b, where p and q are different positive primes, is

In triangle ABC, DE || BC where D is a point on AB and is a point on AC. DE divides the area of A ABC into two equal parts. Then DB : AB is equal to

A and B have their monthly incomes in the ratio 8:S, While their monthly expenditures are in the ratio S : 3. If they have saved = 12,000 and & 10,000 monthly respectively, then the difference in their monthly income is