[Download PDF] TS ICET 28th July 2022 Shift-2 Paper with Solutions

Instructions

For the following questions answer them individually

Question 111

If A = {3, 4, 5, 6, 7, 8, 9}, then the number of subsets of A not containing 6 is

Video Solution

Question 112

For two sets A and B, if
$$n(A - B) = 14, n(B - A) = 16, n(A \cup B) = 40$$, then $$n(A \cap B)$$ =

Video Solution

Question 113

If one of the roots of the cubic equation $$x^{3} + ax^{2} + bx + c = 0$$ is -1 , then
the product of the other two roots is

Video Solution

Question 114

Suppose $$\alpha$$ and $$\beta$$, are the zeros of the polynomial
$$f(x) = x^{2} - 6x + k$$. Then the value of k, such that $$\alpha^{2} + \beta^{2} = 40$$ is

Video Solution

Question 115

If $$x^{3} - 4x^{2} + ax + b$$ is exactly divisible by both $$x - 2$$ and $$x + 1$$, then (a, b) =

Video Solution

Question 116

If the integer n is divided by 3, the remainder is 2. Then, the remainder when 7n is divided by 3 is

Video Solution

Question 117

A person bought 29 postal stamps of Rs.5 and Rs.10 by paying Rs.200. The difference between the number of stamps be bought with that money is

Video Solution

Question 118

Six years ago, the age of a person was two years more than five times, the age of his son. Four years hence, his age will be two years less than three times the age of his son. After how many years from now will their combined age be 100 years?

Video Solution

Question 119

If $$z^{x} = 4^{Y} = 16^{z}$$ and $$xyz = 1728$$, then $$5x + 3y + 2z$$ =

Video Solution

Question 120

The sum of the first n terms of a sequence is given by $$5n^{2} + 2n$$. Then the $$10^{th}$$ term of this sequence is

Video Solution

CAT Content

TS ICET 28th July 2022 Shift-2

If A = {3, 4, 5, 6, 7, 8, 9}, then the number of subsets of A not containing 6 is

For two sets A and B, if $$n(A - B) = 14, n(B - A) = 16, n(A \cup B) = 40$$, then $$n(A \cap B)$$ =

If one of the roots of the cubic equation $$x^{3} + ax^{2} + bx + c = 0$$ is -1 , then the product of the other two roots is

Suppose $$\alpha$$ and $$\beta$$, are the zeros of the polynomial$$f(x) = x^{2} - 6x + k$$. Then the value of k, such that $$\alpha^{2} + \beta^{2} = 40$$ is

If $$x^{3} - 4x^{2} + ax + b$$ is exactly divisible by both $$x - 2$$ and $$x + 1$$, then (a, b) =

If the integer n is divided by 3, the remainder is 2. Then, the remainder when 7n is divided by 3 is

A person bought 29 postal stamps of Rs.5 and Rs.10 by paying Rs.200. The difference between the number of stamps be bought with that money is

Six years ago, the age of a person was two years more than five times, the age of his son. Four years hence, his age will be two years less than three times the age of his son. After how many years from now will their combined age be 100 years?

If $$z^{x} = 4^{Y} = 16^{z}$$ and $$xyz = 1728$$, then $$5x + 3y + 2z$$ =

The sum of the first n terms of a sequence is given by $$5n^{2} + 2n$$. Then the $$10^{th}$$ term of this sequence is

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For two sets A and B, if
$$n(A - B) = 14, n(B - A) = 16, n(A \cup B) = 40$$, then $$n(A \cap B)$$ =

If one of the roots of the cubic equation $$x^{3} + ax^{2} + bx + c = 0$$ is -1 , then
the product of the other two roots is

Suppose $$\alpha$$ and $$\beta$$, are the zeros of the polynomial
$$f(x) = x^{2} - 6x + k$$. Then the value of k, such that $$\alpha^{2} + \beta^{2} = 40$$ is