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 Quantitative Aptitude - Arithmetic Ability Questions

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Q:

Two cars travel from city A to city B at a speed of 36 and 54 km/hr respectively. If one car takes 3.5 hours lesser time than the other car for the journey, then the distance between City A and City B is

A) 454 km B) 567 km
C) 302 km D) 378 km
 
Answer & Explanation Answer: D) 378 km

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Filed Under: Time and Distance
Exam Prep: AIEEE , Bank Exams , CAT

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Q:

If (8x ­- 4) = (3x + 6), then the numerical value of (x + 1)3 is

A) 3 B) 9
C) 27 D) 81
 
Answer & Explanation Answer: C) 27

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

The area of a rectangle is 120 sq cm and its perimeter 140 cm. What is the length of its diagonal?

A) 50 cm B) 30 cm
C) 40 cm D) 60 cm
 
Answer & Explanation Answer: A) 50 cm

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Filed Under: Area
Exam Prep: Bank Exams

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Q:

If 7A = 5B = 2C; find A : B : C.

A) 35:14:10 B) 14:10:35
C) 2:5:7 D) 10:14:35
 
Answer & Explanation Answer: D) 10:14:35

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Filed Under: Ratios and Proportions
Exam Prep: Bank Exams

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Q:

sec2Acosec2A is equal to

A) sec2A -­ cosec2A B) √[sec2A + cosec2A]
C) sec2A + cosec2A D) √[sec2A -­ cosec2A]
 
Answer & Explanation Answer: C) sec2A + cosec2A

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

If cot2A = x, then x is

A) 2cotA/(cot2A -­ 1) B) (cot2A -­ 1)/2cotA
C) (cot2A + 1)/2cotA D) 2cotA/(1 -­ cot2A)
 
Answer & Explanation Answer: B) (cot2A -­ 1)/2cotA

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

A and B together do a job in 12 days and A could do the job in 20 days if he worked alone. How many days would B take to do the job if he worked alone?

A) 30 B) 25
C) 24 D) 15
 
Answer & Explanation Answer: A) 30

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Filed Under: Time and Work
Exam Prep: Bank Exams

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Q:

An equilateral triangle ABC is inscribed in a circle of radius 20√3.
What is the length of the side of the triangle?

A) 30 cm B) 40 cm
C) 50 cm D) 60 cm
 
Answer & Explanation Answer: D) 60 cm

Explanation:
Radius of circumcircle of an equilateral triangle = side /√3
R = a/√3
a = R√3 = 20√3 *√3 = 60cm
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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams

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