Quantitative Aptitude - Arithmetic Ability Questions

Q:

If x2+5x+6 = 0, then the value of 2xx2-7x+6 is

A) 1/6 B) 1/3
C) -1/6 D) -1/3
 
Answer & Explanation Answer: C) -1/6

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Q:

What is the value of Cot 60 - Sec 30?

A) -1/3 B) -1/√3
C) 1/√3 D) 1/3
 
Answer & Explanation Answer: B) -1/√3

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Q:

If 3.5x = 0.07y, then find the result of [y-x / y+x]

A) 51/49 B) 49/53
C) 49/51 D) 53/57
 
Answer & Explanation Answer: C) 49/51

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Q:

The bus fare between two cities is increased in the ratio 1:2. Find the increase in the fare, if the original fare is Rs. 175.

A) Rs 350 B) Rs 70
C) Rs 140 D) Rs 175
 
Answer & Explanation Answer: D) Rs 175

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Q:

What is the value of [tan (90  A) + cot (90  A)]2/[2 sec2(90  2A)]?

A) 0 B) 1
C) 2 D) – 1
 
Answer & Explanation Answer: C) 2

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Q:

What is the simplest form of (1 + cosA)(cosecA ­ cotA)?

A) cosA B) tanA
C) cotA D) sinA
 
Answer & Explanation Answer: D) sinA

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Q:

The length of a chord which is at a distance of 12 cm from the centre of a circle of radius 13 cm is

A) 10 cm B) 5 cm
C) 6 cm D) 12 cm
 
Answer & Explanation Answer: A) 10 cm

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Q:

If sec θ (cos θ + sin θ) = √2, then what is the value of (2 sin θ)/(cos θ – sin θ)?

A) 3√2 B) 3/√2
C) 1/√2 D) √2
 
Answer & Explanation Answer: D) √2

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