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Given that $(a^{2} + b^{2}) = 60$ , then find the value of ${(a + b)}^{2} + {(a - b)}^{2}$ ?

A) 90	B) 120
C) 140	D) 150

A) 90

B) 120

C) 140

D) 150

Answer & Explanation Answer: B) 120

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Filed Under: Simplification
Exam Prep: Bank Exams

If $a^{3} + b^{3} + c^{3} - 3 abc = 0$ , then the value of $(a^{2} / bc + b^{2} / ac - 3)$ .

A) -c2/ab	B) -c2/bc
C) -c3/ba	D) -c/a

A) -c2/ab

B) -c2/bc

C) -c3/ba

D) -c/a

Answer & Explanation Answer: A) -c2/ab

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Filed Under: Simplification
Exam Prep: Bank Exams

If $X = \frac{4}{2 \sqrt{3} + 3 \sqrt{2}}$ then find the value of $(X + \frac{1}{X})$ .

A) 103 + 15212	B) (103 - 52)12
C) -103 - 33212	D) (103+332)12

A) 103 + 15212

B) (103 - 52)12

C) -103 - 33212

D) (103+332)12

Answer & Explanation Answer: C) -103 - 33212

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The value of k, for which the quadratic equation $4 x^{2} + 4 \sqrt 3 x + k = 0$ has equal roots is

A) -2	B) 3
C) 2	D) -3

A) -2

B) 3

C) 2

D) -3

Answer & Explanation Answer: B) 3

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Filed Under: Simplification
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Solve the following :

$72 \div \frac{1}{2} {15 + 12 - (9 + 6 - \bar{5 + 7})} = ?$

A) 6	B) 9
C) 12	D) 8

A) 6

B) 9

C) 12

D) 8

Answer & Explanation Answer: A) 6

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Filed Under: Simplification
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Correct expression of $0.0 \bar{18}$ = ?

A) 1/55	B) 18/100
C) 18/1000	D) 1/66

A) 1/55

B) 18/100

C) 18/1000

D) 1/66

Answer & Explanation Answer: C) 18/1000

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Filed Under: Simplification
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Simplify : $\frac{5}{28} \div \frac{28}{35} \div \frac{20}{112}$

A) 4/5	B) 5/4
C) 4/7	D) 7/4

A) 4/5

B) 5/4

C) 4/7

D) 7/4

Answer & Explanation Answer: B) 5/4

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Filed Under: Simplification
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Simplify : ${(25)}^{\frac{3}{2}}$

A) 625	B) 15625
C) 125	D) √125

A) 625

B) 15625

C) 125

D) √125

Answer & Explanation Answer: C) 125

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Filed Under: Simplification
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