Quantitative Aptitude - Arithmetic Ability Questions

Q:

If secA = x, then the value of x is

A) √(1 -­ cot2A) B) √(1 -­ tan2A)
C) √(1 + cot2A) D) √(1 + tan2A)
 
Answer & Explanation Answer: D) √(1 + tan2A)

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Q:

The co-ordinates of the centroid of a triangle ABC are (3,-2). What are the co-ordinates of vertex C if co-ordinates of A and B are (-2,5) and (6,-2) respectively?

A) (-5,-9) B) (5,-9)
C) (5,9) D) (-5,9)
 
Answer & Explanation Answer: B) (5,-9)

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Q:

The value of Cot17°Cot73°Cos222° + 1Cot17°Sec268° is

A) 0 B) 1
C) 2 D) √3
 
Answer & Explanation Answer: B) 1

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Q:

In triangle PQR, A is the point of intersection of all the altitudes and B is the point of intersection of all the angle bisectors of the triangle. If ∠PBR =105°, then what is the value of ∠PAR (in degrees)?

A) 60 B) 100
C) 105 D) 115
 
Answer & Explanation Answer: A) 60

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Filed Under: Volume and Surface Area
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Q:

PQRS is a square whose side is 16 cm. What is the value of the side (in cm) of the largest regular octagon that can be cut from the given square?

A) 8 – 4√2 B) 16 + 8√2
C) 16√2 – √16 D) 16 – 8√2
 
Answer & Explanation Answer: C) 16√2 – √16

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Filed Under: Volume and Surface Area
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Q:

At an average of 80 km/hr Shatabdi Express reaches Ranchi from Kolkata in 7 hrs. Then the distance between Kolkata and Ranchi is

A) 560 Km B) 506 Km
C) 560 m D) 650 m
 
Answer & Explanation Answer: A) 560 Km

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Filed Under: Time and Distance
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Q:

A can do a work in 16 days and B in 20 days. If they work on it together for 8 days, then what fraction of work is left?

A) 1/3 B) 1/6
C) 2/9 D) 1/10
 
Answer & Explanation Answer: D) 1/10

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Filed Under: Time and Work
Exam Prep: Bank Exams , CAT

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Q:

The value of x for which the expressions 15 ­ 7x and 15x + 7 become equal is _____.

A) -4/11 B) 11/4
C) -11/4 D) 4/11
 
Answer & Explanation Answer: D) 4/11

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