If x+y+z=1, $\frac{1}{x}$+$\frac{1}{y}$+$\frac{1}{z}$ =1 and xyz = -1, then $x^{3}$+$y^{3}$+$z^{3}$ is equal to
1). -1
2). 1
3). -2
4). 2
The point of intersection of all the three medians of a triangle is called it
1). orthocentre
2). incentre
3). centroid
4). circumcentre
A merchant buys 25 litres of milk daily at the rate of ₹ 12 per litre. He mixes 5 litres of water in it and sells at the rate ₹ 10.40 per litre. His gain/loss is:
1). 8% profit
2). 2% profit
3). 4% profit
4). 6% profit
The compound interest on Rs. 24000 at 10% per annum for 1½ years, interest being compounded semiannually is
1). Rs.3783
2). Rs.3777
3). Rs.3780
4). Rs.3781
The value of ($\sec^{2}$45o - $\cot^{2}$45o) - ($\sin^{2}$30o + $\sin^{2}$60o) is
1). 1
2). 2√3
3). 0
4). 4