TCS Company Numerical Ability Time and Work

If I walk at 3 Km/hr i miss the train by 2 min. If however i walk at 4km/hr i reach 2min before the arrival of the train. How far do i walk to reach the station?

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TCS Other Question

In the polynomial f(x) = x^5 + a*x^3 + b*x^4 +c*x + d, all coefficients a, b, c, d are integers. If 3 + sqrt(7) is a root, which of the following must be also a root?(Note that x^n denotes the x raised to the power n, or x multiplied by itself n times. Also sqrt(u) denotes the square root of u, or the number which when multiplied by itself, gives the number u)?

a. 3-sqrt(7)

b. 3+sqrt(21)

c. 5

d. sqrt(7) + sqrt(3)

Sol: Option A

30^72^87 divided by 11 gives reminder ?