Question
Statements: N $ J, J % O, OÂ * Â P, P # X
Conclusions : I. X % J II. N $ P III. J % X IV. X % O In the following questions, the symbol @,* , %, # and $ are used with the following meaning as illustrated below. ‘P * Q’ means ‘P is not greater than Q’. ‘P $ Q’ means ‘P is not smaller than Q’. ‘P @ Q’ means ‘P is neither smaller than nor greater than Q’. ‘P % Q’ means ‘P is neither smaller than nor equals to Q’. ‘P # Q’ means ‘P is neither equal to nor greater than Q’. Now in each of the following questions assuming the given statements to be true, find which of the conclusions given below them is/are definitely true and give your answer accordingly.Solution
If x = (2+√3)/(2-√3), y = (2-√3)/(2+√3)
Then find out the value of (x²+y²-xy)/(x²+y²+xy)
(a + 7)2 + (b – 2) 2 + (c + 3) 2 = 0, then find the value of 3a - 2b + c.
- Find the remainder on dividing (5x 3  + 4x 2  – 10x + 1) by (2x – 4).

Which of the following options gives the value of 2999² – 999²?
If x = 21, then the value of x5 - 22x4 + 22x3 - 22x2 + 22x - 1 is
Evaluate (998)3 without multiplying directly.
- If p = 28 - q - r and pq + r(p + q) = 231, then find the value of (p² + q² + r²).
A boat covers a distance of 75 km downstream in 2.5 hours. If the ratio of upstream speed to downstream speed of the boat is 3:5, then find the distance...
If A = (7)1/3 + (7) -1/3, then the value of {3A3 – 9A} will be: