Question
If all the alphabets of the word ‘ACTIVATE’ are
replaced by immediate succeeding letter in the alphabetical series, then what is the difference between the number of consonants and vowels?Solution
A C T I V A T E B D U J W B U F No. of consonants is 6 and no. of vowels is 2. Difference = 6 – 2 = 4
If x + y + xy = 118, such that x < y and both 'x' and 'y' are positive integers, then find minimum value of (x + y) .
If 0.125x3 +0.216y3 = 210 and 0.25x2 + 0.36y2 = 10.30 then find the value of 0.5x + 0.6y.
If p = 33 - q - r and pq + r(q + p) = 260, then find the value of (p² + q² + r²).
If x + 1/x = 5 then find out the value of x⁵ + 1/(x⁵)?
If (a + b) = 9 and ab = 14, find the value of (a² + b²).

Find the value of 3/4 cot² 30° + cos² 30°-3cosec²60° + tan² 60°.
If 8x3 - 125y3 = (2x - Ay) X (Bx2 + 25y2 + Cxy), then find the value of 3 X (2A + 6B) - 2C.
If (a + b) = 9 and (a2 + b2) = 53, then find the value of (a × b).
- Find the value of the expression {(4096) n /4 × 8 3n + 1 }/{(512) n × 8 n – 1 }.