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 Quantitative Aptitude - Arithmetic Ability Questions

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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

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Q:

S, T and U together can complete a work in 30 days. If the ratio of efficiency of S, T and U is 20 : 15 : 12 respectively, then in how many days U alone can complete the same work?

A) 195/2 B) 235/2
C) 225/2 D) 215/2
 
Answer & Explanation Answer: B) 235/2

Explanation:
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Filed Under: Time and Work
Exam Prep: Bank Exams

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Q:

In how many different ways can the letters of the word 'RITUAL' be arranged?

A) 720 B) 5040
C) 360 D) 180
 
Answer & Explanation Answer: A) 720

Explanation:

The number of letters in the given word RITUAL = 6

Then, 

Required number of different ways can the letters of the word 'RITUAL' be arranged = 6!

=> 6 x 5 x 4 x 3 x 2 x 1 = 720

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Filed Under: Permutations and Combinations
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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Q:

In the given figure, E and F are the centers of two identical circles. What is the ratio of area of triangle AOB to the area of triangle DOC?

A) 1 : 3 B) 1 : 9
C) 1 : 8 D) 1 : 4
 
Answer & Explanation Answer: B) 1 : 9

Explanation:
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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

In a match of 50 overs, team A’s average runs for first thirty overs was 4.5 runs/over while for the remaining 20 overs the average was 5.5 runs/over. Team B chased the target and lost by 10 runs. Find the average runs per over scored by team B. (team B played all the 50 overs). 

A) 4.4 B) 5.2
C) 4.7 D) 4.6
 
Answer & Explanation Answer: C) 4.7

Explanation:

Total runs scored by team

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

4 2579
Q:

Two bikers A and B start and ride at 75 km/hr and 60 km/hr respectively towards each other. They meet after 20 minutes. How far (in km) were they from each other when they started?

A) 60 B) 45
C) 30 D) 15
 
Answer & Explanation Answer: B) 45

Explanation:
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Filed Under: Time and Distance
Exam Prep: Bank Exams

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Q:

Mohit buys an old bicycle for Rs 2700 and spends Rs 500 on its repairs. If he sells the bicycle for Rs 3520, then what is his profit percentage?

A) 10 B) 12.5
C) 15 D) 20
 
Answer & Explanation Answer: A) 10

Explanation:
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Filed Under: Profit and Loss
Exam Prep: Bank Exams

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Q:

Manik marks the price of his toys 40% above the cost price. If he allows 20% discount, then what is the profit or loss percentage?

A) 4% profit B) 12% profit  
C) 8% loss D) 12% loss
 
Answer & Explanation Answer: B) 12% profit  

Explanation:
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Filed Under: Profit and Loss
Exam Prep: Bank Exams

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