Question
Three of the following four options are alike in a
certain way and thus form a group. Which is the option that does NOT belong to that group? (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits.)Solution
In each group, the relationship is: The sum of the cubes of the first and second numbers equals the third number. Option A: '4 - 2 - 72' → 4³ + 2³ = 64 + 8 = 72. Option B: '5 - 3 - 116' → 5³ + 3³ = 125 + 27 = 152. Option C: '2 - 6 - 224' → 2³ + 6³ = 8 + 216 = 224. Option D: '3 - 4 - 91' → 3³ + 4³ = 27 + 64 = 91.
If a + b + c = 11, ab + bc + ca = 3 and abc = -135, then what is the value of a³ + b³ + c³ ?
If √y + (1/√y) = 10, then find the value of y + (1/y).
(x + 1)2 + (y – 3) 2 + (z + 5) 2 = 0, then find the value of 2x + 3y - z.
If (p/q) = (7/8) and (q/r) = (3/11), then the find the value of {(r – p)/(p + q)}.
If (a + b) = 9 and ab = 14, find the value of (a² + b²).
189500 – 22650 + 48× ? – 352×18 = 162674
If x² + px + q = 0 has roots 4 and -3, find the values of p and q.
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