[Download PDF] AP ICET 11th September 2020 Shift-2 Paper with Solutions

Instructions

For the following questions answer them individually

Question 121

On the top of a tower there is a flag staff. At a point 200m from the foot of the tower, the angles of elevation of the top and bottom of the flag staff are respectively $$60^{\circ}$$ and $$45^{\circ}$$. Then the length of the flag staff (mts) is

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Question 122

If $$x + y = 8$$ , then $$x^{3} + y^{3} - x^{2} - y^{2} + 22xy =$$

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Question 123

If m, n are integers such that $$x^{4} + 4x^{2} + mx + n$$ is a perfect square, then 2m - 3n =

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Question 124

If $$x^{3} + 2x^{2} + ax + b$$ has factors $$x + 1$$ and $$x - 1$$, then (a, b) =

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Question 125

If $$ax^{2} + bx + 6$$ leaves the remainders 12 and 15 when divided by $$x - 3$$ and $$x + 4$$ respectively. then 7a + 14b =

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Question 126

If the system of equations $$4x + 6y = 11, 2x + ay = 7$$ has no solution, then the value of a is

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Question 127

The sum of a given two digit number N and the number obtained by interchanging the two digits is 110. If the digits of that number N differ by 2, then that number N is equal to

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Question 128

The sum of multiples of 5 between 28 and 102 is

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Question 129

The $$7^{th}$$ tern of the series $$-3, 1, -\frac{1}{3}, \frac{1}{9}$$ ,... ... ... is

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Question 130

If $$(2x + 3)^{10} = a_{0}+a_{1}x+ \cdot\cdot\cdot +a_{10}x^{10}$$, then $$a_{0}+a_{2}+a_{4}+ \cdot\cdot\cdot + a_{10} =$$

Video Solution

CAT Content

AP ICET 11th September 2020 Shift-2

On the top of a tower there is a flag staff. At a point 200m from the foot of the tower, the angles of elevation of the top and bottom of the flag staff are respectively $$60^{\circ}$$ and $$45^{\circ}$$. Then the length of the flag staff (mts) is

If $$x + y = 8$$ , then $$x^{3} + y^{3} - x^{2} - y^{2} + 22xy =$$

If m, n are integers such that $$x^{4} + 4x^{2} + mx + n$$ is a perfect square, then 2m - 3n =

If $$x^{3} + 2x^{2} + ax + b$$ has factors $$x + 1$$ and $$x - 1$$, then (a, b) =

If $$ax^{2} + bx + 6$$ leaves the remainders 12 and 15 when divided by $$x - 3$$ and $$x + 4$$ respectively. then 7a + 14b =

If the system of equations $$4x + 6y = 11, 2x + ay = 7$$ has no solution, then the value of a is

The sum of a given two digit number N and the number obtained by interchanging the two digits is 110. If the digits of that number N differ by 2, then that number N is equal to

The sum of multiples of 5 between 28 and 102 is

The $$7^{th}$$ tern of the series $$-3, 1, -\frac{1}{3}, \frac{1}{9}$$ ,... ... ... is

If $$(2x + 3)^{10} = a_{0}+a_{1}x+ \cdot\cdot\cdot +a_{10}x^{10}$$, then $$a_{0}+a_{2}+a_{4}+ \cdot\cdot\cdot + a_{10} =$$

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