Quantitative Aptitude - Arithmetic Ability Questions

Q:

If sinC + sinD =X, then the value of X is?

A) 2cos[(C+D)/2]sin[(C-D)/2] B) 2sin[(C+D)/2]cos[(C-D)/2]
C) 2cos[(C+D)/2]cos[(C-D)/2] D) 2sin[(C+D)/2]sin[(D-C)/2]
 
Answer & Explanation Answer: B) 2sin[(C+D)/2]cos[(C-D)/2]

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Filed Under: Simplification
Exam Prep: AIEEE , Bank Exams , CAT

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Q:

A mixture of alcohol and water contains 7% alcohol. How much mixture (in litres) is required to get 357 litres of alcohol?

A) 6300 B) 4200
C) 4900 D) 5100
 
Answer & Explanation Answer: D) 5100

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Filed Under: Alligation or Mixture
Exam Prep: Bank Exams

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Q:

Jaikishen can do a piece of work in 15 hours. If he is joined by Jhanvi who is 50% more efficient, in what time will they together finish the work?

A) 6 hours B) 12 hours
C) 3 hours D) 9 hours
 
Answer & Explanation Answer: A) 6 hours

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

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Q:

A can do a work in 24 days and B in 40 days. If they work on it together for 10 days, then what fraction of work is left?

A) 1/2 B) 1/3
C) 2/3 D) 3/4
 
Answer & Explanation Answer: B) 1/3

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Filed Under: Time and Work
Exam Prep: Bank Exams

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Q:

If the length of one side and the diagonal of a rectangle are 8 cm and 17 cm respectively, then find its perimeter

A) 92 B) 48
C) 46 D) 96
 
Answer & Explanation Answer: C) 46

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Q:

In triangle ABC, a line is drawn from the vertex A to a point D on BC. If BC = 9 cm and DC = 3 cm, then what is the ratio of the areas of triangle ABD and triangle ADC respectively?

A) 1 : 1 B) 2 : 1
C) 3 : 1 D) 4 : 1
 
Answer & Explanation Answer: B) 2 : 1

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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams

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Q:

What is the value of tan 6° tan 36° tan 84° tan 54° tan 45°?

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

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

If cosπ/4c - tanπ/4c = x, then x is

A) (√3+4)/2√3 B) (2√2-1)/2
C) (1-√2)/√2 D) 5/√3
 
Answer & Explanation Answer: C) (1-√2)/√2

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Filed Under: Simplification
Exam Prep: Bank Exams

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