POLYCET,TGRJC MATHS PREVIOUS MCQ TEST-2

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• Choose one option from the given 4 alternative options.
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• After attempting all the questions, click the Submit button.
• Correct answers will be shown in green color.
• Wrong answers will be shown in red color.
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• Every correct answer gives 1 mark.
• Every wrong answer deducts 1/4 mark from your total score.

1/10

If P=2×4×6×...×20 and Q=1×3×5×....×19 then HCF of P and Q is

1)\(3^3.5.7\)

2)\( 3^4.5\)

3)\(3^4.5^2.7 \)

4)\(3^3.5^2 \)

2/10

If \( log{x^2y^2}=a \) and \( log \frac{x}{y}=b\) then \( \frac{logx}{logy}=\)

1)\( \frac{a-3b}{a+2b} \)

2)\( \frac{a+3b}{a-2b} \)

3)\( \frac{a+2b}{a-2b} \)

4)\(\frac{a-2b}{a+3b} \)

3/10

Which of the following is true If A={1,2,{3,4},5} ?

1) {3,4} \( \in A \)

2)n(A)=5

3)3\( \in \) A

4){5} \( \in \) A

4/10

If n(A)=15 , n(B)=13 and \(n(A \cap B)\)=10 then \( n[(A \cup B)-(A \cap B)]=\)

1)18

2)12

3)10

4)8

5/10

If one of the zeroes of \( x^3+ax^2+bx+c=0 \) is -1 then the product of other two zeroes may be

1)b-a+1

2)b-a-1

3)a-b+1

4)a-b-1

6/10

For what value of k do the equations 3(k-1)x+4y=24 and 15x+20y=8(k+13) have infinite solutions

1)1

2)2

3)3

4)4

7/10

Value of x from the equation \( 2^{x+y}=2^{x-y}= \sqrt{32} \)

1)\( 0 \)

2)\( \frac{5}{2} \)

3)\( \frac{1}{2} \)

4)\( \frac{3}{4} \)

8/10

If \( x=2sin^2 \theta \) and y=\( 2cos^2 \theta +1\) then which of the following is true

1) \(x-y=1 \)

2) \( x+y=2 \)

3)\( x+y=3 \)

4)\( x^2+y^2=3 \)

9/10

If \( cos\alpha=\frac{1}{2} \) and \( sin \beta=\frac{1}{2} \) then the value of \( \ \alpha+\beta= \)
where \( 0^\circ \leq \alpha \leq 90^\circ \) ,\( 0^\circ \leq \beta \leq 90^\circ \)

1)\( 60^\circ \)

2)\( 90^\circ \)

3) \( 45^\circ \)

4)\( 30^\circ \)

10/10

Find the quadratic equation,if \( x= \sqrt {5+\sqrt{5+\sqrt{5+....\infty}}} \)

1)\(x^2-x-5=0\)

2)\(x^2+x-5=0\)

3)\(x^2-x+5=0\)

4)\(x^2+x+6=0\)

Result: