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 Quantitative Aptitude - Arithmetic Ability Questions

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Q:

Each of the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. What is the ratio of the length of a rectangle to the side of a square?

I. The area of the square is 576 sq cm and the area of the rectangle is 600 sq cm.

II. The breadth of the rectangle is half the side of the square.

A) The data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question. B) The data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.
C) The data in either Statement I alone are in Statement II alone are sufficient to answer the question. D) The data in both the Statements I and II are not sufficient to answer the question.
 
Answer & Explanation Answer:

Explanation:

From statement I, Area of square = 576 sq cm
Side of square = 24 cm
Area of rectangle = l × b
l × b = 600 sq cm
From statement II, Suppose the breadth of the
rectangle is x. Then side of the square = 2x
Combining both the information, we have
x =12 cm
Now, l × 12 = 600

l=60012=50 cm

Required ratio = 5024=2512=25:12

Both the statements together are sufficient.

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Filed Under: Quantitative Aptitude - Arithmetic Ability
Exam Prep: Bank Exams

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Q:

The average of 19 consecutive even integers is 50. The highest of these integers is

A) 88 B) 68
C) 126 D) 100
 
Answer & Explanation Answer: B) 68

Explanation:
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Filed Under: Average
Exam Prep: Bank Exams

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Q:

The value of cos220°+cos270° is

A) 0 B) 1
C) 1/2 D) 13
 
Answer & Explanation Answer: B) 1

Explanation:
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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

If a3+ b3 = 19 and a + b = 1, then what is the value of ab?

A) 5 B) -6
C) 7 D) -9
 
Answer & Explanation Answer: B) -6

Explanation:
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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

In the first 45 overs of a 50 over innings, the run rate was 5.8 runs per over. What is the required run rate in the remaining overs to reach the target of 295 runs?

A) 6.9 B) 6.8
C) 6.7 D) 6.6
 
Answer & Explanation Answer: B) 6.8

Explanation:
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Filed Under: Average
Exam Prep: Bank Exams

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Q:

A and B together can complete a piece of work in 12 days. They worked together for 5 days and then A alone finished the rest work in 14 days. A alone can complete the work in _____.

A) 24 days B) 22 days
C) 20 days D) 18 days
 
Answer & Explanation Answer: A) 24 days

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

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Q:

If a wholesaler, sells a box of chocolates at Rs 960 he gains 20%. Now if he decides to sell it at Rs 1120, what is his profit percentage?

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

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

0 1603
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
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