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Q:

If $\tan^{4} θ + \tan^{2} θ = 1$ then the value of $\cos^{4} θ + \cos^{2} θ$ is

A) 2	B) 0
C) 1	D) -1

Answer & Explanation Answer: C) 1

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Filed Under: Simplification
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Q:

If $a^{2} \sec^{2} x - b^{2} \tan^{2} x = c^{2}$ then the value of $\sec^{2} x + \tan^{2} x$ is equal to (assume b2 ≠ a2 )

A) b2-a2+2c2b2+a2	B) b2+a2-2c2b2-a2
C) b2-a2-2c2b2+a2	D) b2-a2b2+a2+2c2

Answer & Explanation Answer: B) b2+a2-2c2b2-a2

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Q:

If x tan 60° + cos 45° = sec 45° then the value of $x^{2} + 1$ is

A) 6/7	B) 7/6
C) 5/6	D) 6/5

Answer & Explanation Answer: B) 7/6

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Q:

If $2 r = h + \sqrt{r^{2} + h^{2}}$ , then the ratio of r:h is

A) 1 : 2	B) 2 : 3
C) 4 : 3	D) 3 : 5

Answer & Explanation Answer: C) 4 : 3

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Filed Under: Ratios and Proportions
Exam Prep: Bank Exams

Q:

If x = 1 + √2 + √3 , then the value of $2 x^{4} - 8 x^{3} - 5 x^{2} + 26 x - 28$ is

A) 2√2	B) 3√3
C) 5√5	D) 6√6

Answer & Explanation Answer: D) 6√6

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Q:

If $x + \frac{1}{x} = \sqrt{3}, then x^{18} + x^{12} + x^{6} + 1$ value is

A) 0	B) 1
C) 2	D) 3

Answer & Explanation Answer: A) 0

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Q:

If a = 299, b = 298, c = 297 then the value of $2 a^{3} + 2 b^{3} + 2 c^{3} - 6 abc$ is

A) 5154	B) 5267
C) 5364	D) 5456

Answer & Explanation Answer: C) 5364

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Q:

If $x^{2} + y^{2} + 6 x + 5 = 4 (x - y)$ then x - y is

A) 1	B) -1
C) 0	D) 4

Answer & Explanation Answer: A) 1

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