[Download PDF] AP ICET 2017 Paper with Solutions

Instructions

For the following questions answer them individually

Question 81

For $$a \geq 4, \sqrt{3(a - 1) + 2\sqrt{2a^2 - 7a - 4}} =$$

Video Solution

Question 82

The greater power of 2 dividing 2400 is

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Solution

$$2400=2^5\times\ 3\times\ 5^2$$

$$\therefore\ $$ The greatest power of 2 that can divide 2400 is 5.

Hence, the correct answer is Option D

Question 83

If $$100 \leq n \leq 999$$ and n leaves remainders 1 and 3 respectively when divided by 3 and 8 then the maximum value of n is

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Question 84

To run around a track A, B and C respectively take 27, 36 and 45 seconds. All of them start simultaneously at a point P on the track. The number of rounds made by C when all of them meet next at P is

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Solution

LCM of 27,36 and 45 seconds is 540 seconds.

All of them will meet at P for every 540 seconds.

$$\therefore\ $$The number of rounds made by C when all of them meet next at P = $$\frac{540}{45}$$ = 12

Question 85

The greatest commondivisior and the least common multiple of two numbers are 21 and 4641. If one of the numberlies between 250 and 300 thenthe other numberis

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Question 86

$$\left(1 - \frac{1}{5}\right)\left(1 - \frac{1}{6}\right)\left(1 - \frac{1}{7}\right) ......... \left(1 - \frac{1}{200}\right) =$$

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Question 87

The rational number given by $$0.1\overline{36}$$ is

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Solution

y=0.1363636.....

10y=1.363636...

1000y=136.3636....

Subtracting both of them we get

990y=135 or y=135/990 or y=3/22 (dividing the numerator and denominator by 45)

Question 88

If $$a_1, a_2, a_3$$, and $$a_4$$ is the decreasing order of the elements in $$\left\{\frac{2}{7}, \frac{7}{15}, \frac{5}{8}, \frac{9}{23}\right\}$$ then $$a_1 - a_4 =$$

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Question 89

If the numbers 169, 248, 416, 479, 175, 621 and 532 are arranged in descending order based on the sum of the digits in each one of them, the middle number is

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Question 90

If the income tax is reduced from 15% to 12.5% then the tax benefit (in rupees) for a person whose taxable income is Rs. 98,000/- is

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Solution

Tax benefit% = 15 - 12.5 = 2.5%

Taxable income = Rs. 98,000

Tax benefit = 2.5% of 98000 = $$\frac{2.5}{100}\times98000$$ = Rs. 2450

Hence his tax benefit will be 2450 rupees

CAT Content

AP ICET 2017

For $$a \geq 4, \sqrt{3(a - 1) + 2\sqrt{2a^2 - 7a - 4}} =$$

The greater power of 2 dividing 2400 is

If $$100 \leq n \leq 999$$ and n leaves remainders 1 and 3 respectively when divided by 3 and 8 then the maximum value of n is

To run around a track A, B and C respectively take 27, 36 and 45 seconds. All of them start simultaneously at a point P on the track. The number of rounds made by C when all of them meet next at P is

The greatest commondivisior and the least common multiple of two numbers are 21 and 4641. If one of the numberlies between 250 and 300 thenthe other numberis

$$\left(1 - \frac{1}{5}\right)\left(1 - \frac{1}{6}\right)\left(1 - \frac{1}{7}\right) ......... \left(1 - \frac{1}{200}\right) =$$

The rational number given by $$0.1\overline{36}$$ is

If $$a_1, a_2, a_3$$, and $$a_4$$ is the decreasing order of the elements in $$\left\{\frac{2}{7}, \frac{7}{15}, \frac{5}{8}, \frac{9}{23}\right\}$$ then $$a_1 - a_4 =$$

If the numbers 169, 248, 416, 479, 175, 621 and 532 are arranged in descending order based on the sum of the digits in each one of them, the middle number is

If the income tax is reduced from 15% to 12.5% then the tax benefit (in rupees) for a person whose taxable income is Rs. 98,000/- is

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