AP ICET 10th September 2020 Shift-2

Instructions

For the following questions answer them individually

Question 71

A meeting is scheduled at 11 A.M. Mr. A arrived to the meeting 37 minutes earlier than Mr. B who came 12 minutes late to the meeting. If Mr C arrived 21 minutes after A's arrival, the time at which Mr C came to the meeting is

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Question 72

A train X came to the station 42 minutes later than its scheduled time. But it came 21 minutes before another train Y which came 36 minutes before its scheduled time 11.47 P.M. The scheduled time of arrival of train X at the station is

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Question 73

If $$+, -, \times$$ and $$\div$$ represent division, multiplication subtraction and addition respectively, then $$42 \div 3 \times 15 - 14 + 6 = ?$$

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Question 74

$$x*y = x + y + xy, x \oplus y = x^2 + y^2$$, then $$\mid 3 * (4 \oplus 5) -(3 * 4)\oplus 5 \mid = ?$$

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Question 75

$$m  \alpha  n = \frac{m + n}{2}, m \beta n = \frac{mn}{2}$$, then $$(3 \beta 12) \alpha (16 \beta 7) = ?$$

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Question 76

If $$a + b + c = 0$$ and $$x = y + z$$, then
$$\frac{(x - a)^2}{(y + b)(z + c)} - \frac{(y + b)^2}{(x - a)(z + c)} - \frac{(z + c)^2}{(x - a)(y + b)} =$$

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Question 77

The value of $$\frac{2^n \times 6^{m + 1} \times 10^{m - n} \times 15^{m + n - 2}}{4^m \times 3^{2m + n} \times 25^{m - 1}}$$ is

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Question 78

Two stations P and Q are 378 km apart. A train X leaves P for station Q and at the same time another train Y leaves Q for station P. They start moving towards each other and meet after $$4\frac{1}{2}$$ hours. If the train X is 26 km/hr faster than the train Y, then the ratio of the speeds of the trains X and Y is

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Question 79

The cost of 5 apples is equal to the cost of mangoes. If the amounts paid for $$x$$ apples and y mangoes are in the ratio 14 : 15, then $$3x : 4y =$$

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Question 80

If $$x = \sqrt{8 + 2\sqrt{15}}$$, then $$\left(x + \frac{2}{x}\right)^2 =$$

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