AP ICET 26th April 2019 Shift-1


For the following questions answer them individually

Question 121

The height of the pillar when it is found that on walking towards it 60 meters in a horizontal line through the base. the angle of elevation of its top changes from $$30^\circ$$ to $$60^\circ$$. its height (in meters) is

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Question 122

The smallest value of x for which $$\left(\frac{12}{x} + 36\right)(4 - x^2) = 0$$ is

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Question 123

If $$\alpha$$ and $$\beta$$ are the roots of the equation $$8x^2 - 3x - 27 = 0$$, then the value of $$\left(\frac{\alpha^2}{\beta}\right)^{\frac{1}{3}} + \left(\frac{\beta^2}{\alpha}\right)^{\frac{1}{3}} =$$

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Question 124

If the number obtained after subtracting x from 2035 leaves the same remainder 5 when it is divided by 9, 10 and 15, then the smallest possible x is

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Question 125

If the remainder obtained whena certain integer x is divided by 5 is 2, then which one of the following is never an integer?

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Question 126

Rahim is 6 years older than David and David is 8 years older than Amar. After 8 years, if Rahim will be twice as old as Amar. then 4 years ago, David’s age was

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Question 127

Set X contains 10 consecutive integers. Sum of the 5 least numbers of the set is 265. The sum of the four greatest numbers of that set is

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Question 128

If the sum of three consecutive numbers in a geometric progression is 26 and the sum of their squares is 364, then the product of those numbers is

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Question 129

The sum of all the natural numbers between 100 and 1000 which are multiples of 5 is

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Question 130

The middle term in the expansion of $$\left(x^2 - \frac{1}{2x}\right)^{10}$$ is

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