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Q:

What is the sum of $a^{3} + b^{3} + c^{3} - 3 abc,$ when the value of a=4, b=2 and c=-6?

A) 0	B) 2
C) 4	D) 6

Answer & Explanation Answer: A) 0

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

Find the unit place in ${(194)}^{102} + {(294)}^{103}$

A) 0	B) 6
C) 8	D) 2

Answer & Explanation Answer: A) 0

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

$2 \sec^{2} A$ is equal to

A) (1 - tanA)2 - (1 + tanA)2	B) √[(1 - tanA)2 + (1 + tanA)2 ]
C) √[(1 - tanA)2 - (1 + tanA)2]	D) (1 - tanA)2 + (1 + tanA)2

Answer & Explanation Answer: D) (1 - tanA)2 + (1 + tanA)2

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

$∆ ABC is similar to ∆ PQR . If ratio of perimeters of ∆ ABC and ∆ PQR is 1 : 2 and if PQ = 10 cm then what is the length of AB (in cm) ?$

A) 5	B) 20
C) 25	D) 15

Answer & Explanation Answer: A) 5

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Filed Under: Quantitative Aptitude - Arithmetic Ability
Exam Prep: Bank Exams

Q:

If a + b = 1 and ab = -6, then what is the value of $a^{3} + b^{3}$ ?

A) 17	B) 15
C) 19	D) 13

Answer & Explanation Answer: C) 19

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

Determine the value of 'a' which satisfies the equation $9^{\sqrt{a}} + 40^{\sqrt{a}} = 41^{\sqrt{a}}$

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

Answer & Explanation Answer: D) 4

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Filed Under: Simplification
Exam Prep: Bank Exams , CAT

Q:

Calculate the value of $\frac{\sqrt 3}{\sqrt 3 + 3}$ , if √3 = 1.732

A) 0.366	B) 0.566
C) 0.356	D) 0.346

Answer & Explanation Answer: A) 0.366

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

Arrange the fractions $\frac{3}{4}, \frac{5}{12}, \frac{13}{16}, \frac{16}{29}, \frac{3}{8}$ in their ascending order of their magnitude?

A) 3/4 < 3/8 < 13/16 < 16/19 < 5/12	B) 3/8 < 5/12 < 16/29 < 3/4 < 13/16
C) 3/8 < 5/12 < 16/29 < 13/16 < 3/4	D) 3/8 < 5/12 < 13/16 < 16/29 < 3/4

Answer & Explanation Answer: B) 3/8 < 5/12 < 16/29 < 3/4 < 13/16

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Filed Under: Decimal Fractions
Exam Prep: Bank Exams

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