Question
Which article of the Indian Constitution mandates the
formation of the Finance Commission?Solution
Article 280 of the Indian Constitution provides for the establishment of the Finance Commission. This commission advises on financial matters, including the distribution of tax revenues between the Union government and the states, and amongst the states themselves.
If x ,y,z are three integers such that x +y = 8,y +z =13 and z +x =17,then the value of x2 /yz  is:
If, 2x + y = 13, and 2xy = 12, and 2x > y, then find the value of 8x³ – y³.
A carriage travelling in fog passed along a man who was walking @ 6 km/hr in the same direction. He could see the carriage for 8 minutes and it was visi...
If (a + b + c) = 9, find (a – 4)3 + (b – 2)3 + ( c – 3)3 – 3(a – 4 ) (b – 2 ) (c &n...
If (5x + 2)3 + (x – 1)3 + 8(3x – 7)3 = 6(5x + 2) × (x – 1) × (3x – 7), then the value of (5x + 3) isÂ
...If x2 – 5x + 1 = 0, then find the value of {x2 + (1/x2)}.
For which value of k does the quadratic equation
x² − 4(k + 1)x + (3k² + 8k + 4) = 0
have equal real roots?
x + y = 4, xy = 2, y + z = 5, yz = 3, z + x = 6 and xz =4, then find the value of x 3  + y 3  + z 3  – 3xyz.
...Which of the following statements is correct?
I. If x = 12, y = –2 and z = –10, then x³ + y³
+ z³ = 720
II. If x + y = 48 an...
If a = 701, b= 703 and c= 706, then find the value of a³ + b³ +c³ –3abc?