Quantitative Aptitude - Arithmetic Ability Questions

Q:

Sum of cubes of first n even natural numbers.

Answer

Proof of Sum of cubes of first n even natural numbers ::


sum_of_cubes_of_first_n_even_natural_numbers1556603651.png image


 


Hence, in other words, the sum of the first n cubes is the square of the sum of the first n natural numbers.

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Subject: Simplification Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Analyst , Bank Clerk , Bank PO

4 1523
Q:

In how many months will Rs 8,000 yield Rs 2,648 as compound interest at 20% per annum compounded semi-annually?

A) 18 B) 24
C) 12 D) 30
 
Answer & Explanation Answer: A) 18

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Filed Under: Compound Interest
Exam Prep: Bank Exams

1 1522
Q:

The least number that must be subtracted from 1294 so that the remainder when divided by 9, 11, 13 will leave in each case the same remainder 6 is:

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

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Filed Under: Area
Exam Prep: Bank Exams

1 1521
Q:

An angle is (2/3)rd of its supplementary angle. What is the measure of the angle?

A) 108° B) 72°
C) 54° D) 36°
 
Answer & Explanation Answer: B) 72°

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Filed Under: Area
Exam Prep: Bank Exams

0 1521
Q:

If cosec2 θ = 625/576, then what is the value of [(sin θ – cos θ)/(sin θ + cos θ)]?

A) 1 B) 31/17
C) 17/31 D) 14/25
 
Answer & Explanation Answer: C) 17/31

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Filed Under: Simplification
Exam Prep: Bank Exams

0 1520
Q:

Ram and Shyam undertook a work for Rs 5600. Ram alone can do the work in 5 days and Shyam alone can do the work in 9 days. If they worktogether, then what will be the difference (in Rs.) in the amount they receive?

A) 1800 B) 2400
C) 1600 D) 2200
 
Answer & Explanation Answer: C) 1600

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Filed Under: Time and Work
Exam Prep: Bank Exams

6 1520
Q:

Asif is twice as good as workman as Bashir and together they finish a piece of work in 30 days. In how many days will Asif alone finish the work?

A) 90 B) 45
C) 60 D) 75
 
Answer & Explanation Answer: B) 45

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0 1520
Q:

A, B and C can finish a job working alone in 12, 8 and 24 days respectively. In how many days they can finish the job if they worked together?

A) 5 B) 6
C) 4 D) 3
 
Answer & Explanation Answer: C) 4

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Filed Under: Time and Work
Exam Prep: Bank Exams

3 1519