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${Sin}^{6} A + {Cos}^{6} A - 1$ is equal to

A) -3Sin2ACos2A	B) 1 - 3 SinACosA
C) 1 + 3Sin2ACos2A	D) 0

A) -3Sin2ACos2A

B) 1 - 3 SinACosA

C) 1 + 3Sin2ACos2A

D) 0

Answer & Explanation Answer: A) -3Sin2ACos2A

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Filed Under: Simplification
Exam Prep: Bank Exams

What are the components of $(X^{6} - X^{4} - X^{5} - X^{4} + X^{2} - 4)$ ?

A) (X - 1)	B) (X + 2)
C) Both 1 and 2	D) Neither 1 nor 2

A) (X - 1)

B) (X + 2)

C) Both 1 and 2

D) Neither 1 nor 2

Answer & Explanation Answer: D) Neither 1 nor 2

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Filed Under: Simplification
Exam Prep: Bank Exams

For real a, b and c if $a^{2} + b^{2} + c^{2} = ab + bc + ca$ , then find the value of ${(a + b + c)}^{2}$ .

A) 9a2	B) 81a2
C) 27a2	D) 243a2

A) 9a2

B) 81a2

C) 27a2

D) 243a2

Answer & Explanation Answer: A) 9a2

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Filed Under: Simplification
Exam Prep: Bank Exams

If $x^{2} + ax + b$ , when divided by x + 3, leaves a remainder of -1 and $x^{2} + bx + a$ , when divided by x - 3, leaves a remainder of 39, then a+ b = ?

A) -14	B) -38
C) 14	D) 38

A) -14

B) -38

C) 14

D) 38

Answer & Explanation Answer: C) 14

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Filed Under: Problems on Numbers
Exam Prep: Bank Exams

Solve the following :

$\{38 - (60 \div 5 x 16 - 8 \div 2 \div 3)\} = ?$

A) 22	B) 29
C) 30	D) 37

A) 22

B) 29

C) 30

D) 37

Answer & Explanation Answer: A) 22

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Filed Under: Simplification
Exam Prep: Bank Exams

For the figure given below, find the value (in degrees) of $2 ∠ A + ∠ B$ .

A) 180°	B) 202.5°
C) 250°	D) 279°

A) 180°

B) 202.5°

C) 250°

D) 279°

Answer & Explanation Answer: B) 202.5°

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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams

If $XY = \frac{a + 2}{3} and \frac{Y}{X} = \frac{1}{3}$ , then find the value of $\frac{X^{2} + Y^{2}}{X^{2} - Y^{2}}$ .

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

A) 1

B) 2

C) 3

D) 4

Answer & Explanation Answer: B) 2

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Filed Under: Simplification
Exam Prep: Bank Exams

Find the least number among $\frac{5}{9}, \sqrt{\frac{9}{49}}, 0.43 and {(0.7)}^{2}$ .

A) 5/9	B) 0.72
C) 949	D) 0.43

A) 5/9

B) 0.72

C) 949

D) 0.43

Answer & Explanation Answer: C) 949

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Filed Under: Problems on Numbers
Exam Prep: Bank Exams

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