Question
What is the significance of April 21 for National Civil
Services Day?Solution
The Government of India formally established National Civil Services Day in 2006, with the first celebration held at Vigyan Bhawan, New Delhi by Manmohan Singh. The date April 21 was selected to commemorate Sardar Vallabhbhai Patel's 1947 address to civil servants at Metcalfe House, Delhi, where he called them the "steel frame of India".
If (x2 + y2) = 9 and (xy)2 = 3, then find the value of (x4 + y4).
√4096 + √(?) + 13 – 29 = 148Â
If √r + (1/√r) = 4, then find the value of r + (1/r).

If x = 99, then the value of x5 - 100x4 + 100x3 - 100x2 + 100x - 1 is
Find the value of
(1 - Â `1/(p+1)` ) + (1 - `2/(p+1)` Â ) + (1 - `3/(p+1)` Â ) + ........................... + (1 - Â `p/(p+1)` )
If a + b + c = 8, a² + b² + c² = 18 and ab + b c+ ca = 12, then what is the value of a³ + b³ +c³ –3abc?
If (a + b) = 9 and (a2 + b2) = 53, then find the value of (a × b).
- If n = 1 + √2, then find the value of (n + 1/n)².
The graphs of the equations 3x-20y-2=0 and 11x-5y +61=0 intersect at P(a,b). What is the value of (a² + b² − ab)/(a² − b²...