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For the following questions answer them individually
A superfast express travelling at 100 kmph takes 2 hours more than another train travelling at 120 kmph to cover the distance betweenthe same two stations (in kms). Then the distance between the stations (in kms)is.
A, B, C, D, E, F and G are sitting around a circular table and facing the centre: G is second to the left of C, C is to the immediate left of F, A is third to the left of E, B is between D and E. Which of the following is true?
If * is defined by $$a * b = a^3 + b^3 - 3ab$$ for $$a, b \epsilon R$$, then $$\frac{(1 * 2) * (1 * 2)}{(1 * 1) * (1 * 1)} =$$
If $$x \downarrow y = (x + y) + (x - y)^2$$ and $$x \uparrow y = (x + y)^3 - (x - y)^3$$ then the value $$\frac{(0 \downarrow 1) \uparrow (0 \downarrow 1)}{(1 \uparrow 2) \downarrow (1 \uparrow 2)} =$$
For ab ≠ 0. if * is defined by $$a * b = \frac{a^2 + b^2}{ab}$$ then $$\frac{(1 * 2) * (2 * 1)}{(1 * 3) + (3 * 1)} =$$
If $$a = 2^x, b = 4^y, c = 8^z$$ and $$a^{yz} . b^{zx} . c^{xy} = 4^6$$, then $$xyz = ...........$$
$$x^{x\sqrt{x}} = (x\sqrt{x})^{6x} \Rightarrow x =$$
$$A + B + C = 427, 3A = 4B = 7C \Rightarrow A =$$
There are 50 paise and 25 paise coins in a bag whose value is Rs.45. If the total numberof coins is 100, then the number of 50 paise coins is
$$\frac{2}{\sqrt{10 + 2\sqrt{21}}} - \frac{1}{\sqrt{12 + 2\sqrt{35}}} - \frac{1}{\sqrt{8 + 2\sqrt{15}}} =$$
Day-wise Structured & Planned Preparation Guide
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