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Q:

If x+y+z = 0, then what is the value of $\frac{x^{2}}{3 z} + \frac{y^{3}}{3 xz} + \frac{z^{2}}{3 x}$ ?

A) 0	B) xz
C) y	D) 3y

Answer & Explanation Answer: C) y

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

If $x = \sqrt{\frac{2 + \sqrt{3}}{2 - \sqrt{3}}}$ , then what is the value of $x^{2} + x - 9$ ?

A) 0	B) 3√2
C) 3√3	D) 5√3

Answer & Explanation Answer: D) 5√3

Explanation:

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Filed Under: Simplification
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Q:

If x + y = 5, $x^{3} + y^{3} = 35$ , then what is the positive difference between x and y?

A) 0	B) 1
C) 5	D) 6

Answer & Explanation Answer: B) 1

Explanation:

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Filed Under: Simplification
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Q:

In the given figure, how many huts are covered and muddy?

A) 28	B) 40
C) 33	D) 19

Answer & Explanation Answer: D) 19

Explanation:

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Filed Under: Analytical Reasoning
Exam Prep: Bank Exams

Q:

If 18 x 12 = 206 and 19 x 22 = 408, then 23 x 36 = ?

A) 878	B) 818
C) 794	D) 776

Answer & Explanation Answer: B) 818

Explanation:

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Filed Under: Coding and Decoding
Exam Prep: Bank Exams

Q:

If 18 x 12 = 206 and 19 x 22 = 408, then 23 x 36 = ?

A) 878	B) 818
C) 794	D) 776

Answer & Explanation Answer: B) 818

Explanation:

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Filed Under: Coding and Decoding
Exam Prep: Bank Exams

Q:

What is the value of $2 + \sqrt{2 + \sqrt{2 + \sqrt{2}}} . . . . . . .$

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

Answer & Explanation Answer: D) 4

Explanation:

Let 2+√2+√2..... = t
2+√t = t
t - 2 = √t
t = 4

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Filed Under: Simplification
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Q:

Given that the polynomial $(x^{2} + ax + b)$ leaves that same remainder when by (x –1) or (x + 1) What are the values of a and b respectively?

A) 4 and 0	B) 0 and 3
C) 3 and 0	D) 0 and any interger

Answer & Explanation Answer: D) 0 and any interger

Explanation:

Since x^2+ ax + b when divided by x-1 or x+1 leaves the same remainder

So on putting x=1 and x=-1 we get the same value

1+a+b = 1-a+b

2a=0

a=0

here b can take any value as it will always get cancelled out

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Filed Under: Numbers
Exam Prep: Bank Exams

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