Quantitative Aptitude - Arithmetic Ability Questions

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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1 2011
Q:

20% discount is offered on an item. By applying a promo code the customer wins 10% cash back. What is the effective discount?

A) 30.8 percent B) 30 percent
C) 12 percent D) 28 percent
 
Answer & Explanation Answer: D) 28 percent

Explanation:
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Filed Under: Percentage
Exam Prep: Bank Exams

1 2011
Q:

If 3sinθ+4cosθ=5 (0<θ<90°) then the value of sinθ is

A) 1/5 B) 2/5
C) 3/5 D) 4/5
 
Answer & Explanation Answer: C) 3/5

Explanation:
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Filed Under: Simplification
Exam Prep: Bank Exams

0 2011
Q:

What is the length of the side of a regular hexagon, if its area is 54√3 sq cm?

A) 12 cm B) 9 cm
C) 6 cm D) 15 cm
 
Answer & Explanation Answer: C) 6 cm

Explanation:
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Filed Under: Area
Exam Prep: Bank Exams

1 2011
Q:

An engineering student has to secure 36% marks to pass. He gets 53 and fails by 37 marks. Find the maximum marks.

A) 275 marks B) 250 marks
C) 300 marks D) 325 marks
 
Answer & Explanation Answer: B) 250 marks

Explanation:
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Filed Under: Percentage
Exam Prep: Bank Exams

0 2010
Q:

Find the L.C.M of 4/5, 2/3 and 5/7.

A) 25 B) 20
C) 40 D) 30
 
Answer & Explanation Answer: B) 20

Explanation:
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Filed Under: HCF and LCM
Exam Prep: Bank Exams

6 2010
Q:

The LCM of two numbers is 66. The numbers are in the ratio 2:3. The sum of the numbers is

A) 60 B) 55
C) 50 D) 65
 
Answer & Explanation Answer: B) 55

Explanation:
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Filed Under: HCF and LCM
Exam Prep: Bank Exams

6 2010
Q:

A bookseller bought 500 text books for  20,000. He wanted to sell them at a profit so that he get 50 books free. At what profit percent should he sell them?

A) 10 B) 20
C) 15 D) 10.5
 
Answer & Explanation Answer: A) 10

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

4 2010