POLYCET, TGRJC MATHS PREVIOUS MCQ TEST-1

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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

\(\cos^2 2^\circ + \cos^2 4^\circ + \dots + \cos^2 90^\circ\)=

1)23

2)22

3)1

4)0

2/10

If \(x = \sqrt{\frac{1 - \cos \theta}{1 + \cos \theta}}\), then \(\frac{2x}{1 - x^2}\)=

1)\( sin\theta \)

2)\( cos\theta \)

3)\( tan\theta \)

4)\( cot\theta \)

3/10

If \(sin \alpha \) and \(cos \alpha \) are the roots of the eequation \(ax^2+bx+c=0\) then \(b^2=\)

1)\(c^2+2ac\)

2)\(a^2+ac\)

3)\(a^2+2ac\)

4)\(c^2+ac\)

4/10

Find the sum of the series 1+(1+2+)+(1+2+3)+(1+2+3+4)+......+(1+2+3+....+20)=

1)1470

2)1540

3)1610

4)1370

5/10

Find the slope of the line joining the points
(\(log^{8}_{2},log^{27}_{3}\)) and (\(log^{16}_{2},log^{81}_{3}\))

1)\(log^2\)

2)1

3)2

4)0

6/10

Find the longest side of the triangle formed by the line 3x+4y=12 with coordinate axes

1)9

2)16

3)5

4)7

7/10

If (2,4) is the mid point of the line segment joining (6,3) and(a,5) then a=

1)2

2)4

3)-4

4)-2

8/10

If the mean of x and \(\frac{1}{x}\) is M, then the mean of \(x^3 \)and \(\frac{1}{x^3}\) is

1)\(M^3\)

2)\(M^3+3\)

3)\(M(4M^2-3)\)

4)\(\frac{M^2-3}{2}\)

9/10

The mean and median of the data a,b and c are respectively 50 and 35, where \(a \lt b \lt c \), If c-a=55 then b-a=

1)8

2)7

3)5

4)3

10/10

All face cards are removed from a deck of cards of 52 and one card is taken randomly from remaining cards. What is the probability of getting a black ace?

1)0

2)\(\frac{1}{26}\)

3)\(\frac{1}{40}\)

4)\(\frac{1}{20}\)

Result: