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Q:

If x + y = 10 and xy = 4, then what is the value of $x^{4} + y^{4}$ ?

A) 8464	B) 8432
C) 7478	D) 6218

Answer & Explanation Answer: B) 8432

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

If $A = 2^{32}, B = 2^{31} + 2^{30} + 2^{29} + . . . + 2^{0}$ and $C = 3^{15} + 3^{14} + 3^{13} + . . . + 3^{0}$ , then which of the following option is TRUE?

A) C > B > A	B) C > A > B
C) A > B > C	D) A > C > B

Answer & Explanation Answer: B) C > A > B

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Filed Under: Numbers
Exam Prep: Bank Exams

Q:

Which of the following statement(s) is/are TRUE?

I . $\frac{1}{1 \times 3} + \frac{1}{3 \times 5} + \frac{1}{5 \times 7} + . . . + \frac{1}{11 \times 13} = \frac{12}{13}$

II. $\frac{1}{1 \times 2} + \frac{1}{2 \times 3} + \frac{1}{3 \times 4} + . . . + \frac{1}{12 \times 13} = \frac{12}{13}$

A) Only I	B) Only II
C) Both I and II	D) Neither I nor II

Answer & Explanation Answer: B) Only II

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

If $cosθ = \frac{x^{2} - y^{2}}{x^{2} + y^{2}}$ , then the value of $cotθ$ is

A) 2xyx2-y2	B) 2xyx2+y2
C) x2+y22xy	D) x2-y22xy

Answer & Explanation Answer: D) x2-y22xy

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Filed Under: Simplification
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Q:

The value of the expression $2 (\sin^{6} θ + \cos^{6} θ) - 3 (\sin^{4} θ + \cos^{4} θ) + 1$ is

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

Answer & Explanation Answer: B) 0

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Filed Under: Simplification
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Q:

If sin P + cosec P = 2, then the value of $\sin^{7} P + {cosec}^{7} P$ is

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

Answer & Explanation Answer: B) 2

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Q:

ΔABC is an isosceles right angled triangle having ∠C = 90°. If D is any point on AB, then ${AD}^{2} + {BD}^{2}$ is equal to

A) CD2	B) 2CD2
C) 3CD2	D) 4CD2

Answer & Explanation Answer: B) 2CD2

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Filed Under: Area
Exam Prep: Bank Exams

Q:

If x, y, z are the three factors of $a^{3} - 7 a - 6$ , then value of x+y+z will be

A) 3a	B) 3
C) 6	D) a

Answer & Explanation Answer: A) 3a

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Filed Under: Simplification
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