[Download PDF] TS ICET 27th July 2022 Shift-2 Paper with Solutions

Instructions

For the following questions answer them individually

Question 111

If A = {1, 2, 3, 4, 5, 6, 7, 8}, then the number of subsets of A containing 5, 6 and 7 is

Video Solution

Question 112

For three sets A, B and C, if n(A) = 20, n(B - A) = 16 and
n( C - (A $$\cup$$ B)) = 24, then n(A $$\cup$$ B $$\cup$$ C) =
(n(A) denotes the number of elements in A )

Video Solution

Question 113

$$a + b = 5 \Rightarrow a^{3} + b^{3} + 15ab $$=

Video Solution

Question 114

If $$ax + b$$ is added to the polynomial $$4x^{4} + 2x^{3} - 2x^{2} + x - 1$$, then it is divisible by $$x^{2} + 2x - 3$$. The value of 2a + b =

Video Solution

Question 115

lf $$x^{3} + 10x^{2} + ax + b$$ is exactly divisible by $$x + 1$$ as well as $$x - 1$$, then (a, b) =

Video Solution

Question 116

The remainders when the polynomial $$f(x)$$ is divided by $$(x - 2)$$ and $$(x - 3)$$ are 6 and 4 respectively. Then the remainder of $$f(x)$$ when divided by $$(x^{2} - 5x + 6)$$ is

Video Solution

Question 117

The sum of a two digit number and the number obtained by revising the order of its digits is 121 and the digits differ by 3. Then the number is

Video Solution

Question 118

If $$\frac{48}{x+y}-\frac{6}{x-y} =10$$ and $$\frac{15}{x+y}+\frac{4}{x-y} =9$$, then $$(x,y)=$$

Video Solution

Question 119

$$\sqrt{(x^{2} - 2x - 15)(x^{2} - 5x - 24)(x^{2} - 13x + 40)}$$=

Video Solution

Question 120

The interior angles of a regular polygon are in Arithmetic Progression. The smallest angle of the polygon is $$120^{\circ}$$ and the difference of consecutive angles is $$5^{\circ}$$. Then the number of sides of the polygon is

Video Solution

CAT Content

TS ICET 27th July 2022 Shift-2

If A = {1, 2, 3, 4, 5, 6, 7, 8}, then the number of subsets of A containing 5, 6 and 7 is

For three sets A, B and C, if n(A) = 20, n(B - A) = 16 and n( C - (A $$\cup$$ B)) = 24, then n(A $$\cup$$ B $$\cup$$ C) = (n(A) denotes the number of elements in A )

$$a + b = 5 \Rightarrow a^{3} + b^{3} + 15ab $$=

If $$ax + b$$ is added to the polynomial $$4x^{4} + 2x^{3} - 2x^{2} + x - 1$$, then it is divisible by $$x^{2} + 2x - 3$$. The value of 2a + b =

lf $$x^{3} + 10x^{2} + ax + b$$ is exactly divisible by $$x + 1$$ as well as $$x - 1$$, then (a, b) =

The remainders when the polynomial $$f(x)$$ is divided by $$(x - 2)$$ and $$(x - 3)$$ are 6 and 4 respectively. Then the remainder of $$f(x)$$ when divided by $$(x^{2} - 5x + 6)$$ is

The sum of a two digit number and the number obtained by revising the order of its digits is 121 and the digits differ by 3. Then the number is

If $$\frac{48}{x+y}-\frac{6}{x-y} =10$$ and $$\frac{15}{x+y}+\frac{4}{x-y} =9$$, then $$(x,y)=$$

$$\sqrt{(x^{2} - 2x - 15)(x^{2} - 5x - 24)(x^{2} - 13x + 40)}$$=

The interior angles of a regular polygon are in Arithmetic Progression. The smallest angle of the polygon is $$120^{\circ}$$ and the difference of consecutive angles is $$5^{\circ}$$. Then the number of sides of the polygon is

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For three sets A, B and C, if n(A) = 20, n(B - A) = 16 and
n( C - (A $$\cup$$ B)) = 24, then n(A $$\cup$$ B $$\cup$$ C) =
(n(A) denotes the number of elements in A )