[Download PDF] AP ICET 2012 Paper with Solutions

Instructions

For the following questions answer them individually

Question 81

If $$a = \sqrt{2} + \sqrt{3}$$, then $$\frac{a + 1}{a - 1} + \frac{1 - a}{1 + a} =$$

Video Solution

Question 82

If $$x = 3 + \sqrt{5}$$, then the value of $$x^4 + 12x^3 + 36x^2$$ is

Video Solution

Question 83

HCF of two numbers is 15 and their sum is 150.If oe the numbers are greater than 15, then those numbers are

Video Solution

Question 84

If $$n = 847 \times K$$ is a perfect square then theleast possible positive value of $$K$$ is:

Video Solution

Question 85

The number of distinct prime factors of 8! is:

Video Solution

Question 86

If $$x > x^2 > x^3$$, then a possible value of x among the following is

Video Solution

Question 87

$$\sqrt{10 +\sqrt{25 +\sqrt{108 +\sqrt{154 +\sqrt{225}}}}} =$$

Video Solution

Question 88

If the fractions $$\frac{1}{2}, \frac{2}{9}$$ and $$\frac{7}{13}$$ are expressed with a common denomination, then the least numerator is

Video Solution

Question 89

The maximum of $$33^{3^3}, 3^{3^{3^3}}, 333^3$$ and $$3^{333}$$

Video Solution

Question 90

The difference between compound interest and simple interest on a sum for 2 years at the same 6% interest per annum is ₹ 36. Then that sum (in rupees) is

Video Solution

CAT Content

AP ICET 2012

If $$a = \sqrt{2} + \sqrt{3}$$, then $$\frac{a + 1}{a - 1} + \frac{1 - a}{1 + a} =$$

If $$x = 3 + \sqrt{5}$$, then the value of $$x^4 + 12x^3 + 36x^2$$ is

HCF of two numbers is 15 and their sum is 150.If oe the numbers are greater than 15, then those numbers are

If $$n = 847 \times K$$ is a perfect square then theleast possible positive value of $$K$$ is:

The number of distinct prime factors of 8! is:

If $$x > x^2 > x^3$$, then a possible value of x among the following is

$$\sqrt{10 +\sqrt{25 +\sqrt{108 +\sqrt{154 +\sqrt{225}}}}} =$$

If the fractions $$\frac{1}{2}, \frac{2}{9}$$ and $$\frac{7}{13}$$ are expressed with a common denomination, then the least numerator is

The maximum of $$33^{3^3}, 3^{3^{3^3}}, 333^3$$ and $$3^{333}$$

The difference between compound interest and simple interest on a sum for 2 years at the same 6% interest per annum is ₹ 36. Then that sum (in rupees) is

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