Question
Four letter-clusters have been given out of which three
are alike in some manner and one is different. Select the one that is different.Solution
The second letter is the third succeeding letter of the first letter and the third letter is the sixth preceding letter of the second letter as per the English Alphabetical series. WZT → W + 3 = Z, Z- 6 = T MPJ → M + 3 = P, P - 6 = J HKE → H + 3 = K, K - 6 = E DGB → D + 3 = G, G - 6 = A ≠ B
If x = √7 + √6 and y = √7 - √6 , then the value of is (x2 + y2)/(x3 + y3).
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If (x + y) = 40, then find the value of (x - 15)5 + (y - 25)5.

- If p = 35 - q - r and pq + r(p + q) = 324, then find the value of (p² + q² + r²).
- If x² - 2x + 1 = 0, then find the value of (x³ + x⁻³)(x + x⁻¹).
- If a 3 + b 3 + c 3 = 62, abc = -6 and (a + b + c) = 5, then what is the value of ab + bc + ac?
If a + b + c = 12 and ab + bc + ca = 50, then find the value of a2 + b2 + c2.
A train can cross a pole, a bridge of 720 meter long and platform of 640 meter long in 9 seconds, _____ seconds and 25 seconds, respectively.
The...
If (x – 3) is a factor of (x2 + 4qx – 2q), then the value of q is: