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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Q:

What is the value of (91 + 92 + 93 + ......... +140)?

A) 5775 B) 11550
C) 17325 D) 23100
 
Answer & Explanation Answer: A) 5775

Explanation:
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Filed Under: Numbers
Exam Prep: Bank Exams

6 1483
Q:

The side of an equilateral triangle is 14 cm. Find its area (in sq.cm).

A) 64√3 B) 49√2
C) 64√2 D) 49√3
 
Answer & Explanation Answer: D) 49√3

Explanation:
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Filed Under: Area
Exam Prep: Bank Exams

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Q:

On decreasing the price of a fan by 40%, its sales increases by 50%. What will be the percentage increase or decrease in its revenue?

A) 15% increase B) 15% decrease
C) 10% decrease D) 10% increase
 
Answer & Explanation Answer: C) 10% decrease

Explanation:
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Filed Under: Percentage
Exam Prep: Bank Exams

2 1482
Q:

O is the circumcentre of ΔABC. If AO = 8 cm, then the length of BO is

A) 12 cm B) 3 cm
C) 6 cm D) 8 cm
 
Answer & Explanation Answer: D) 8 cm

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

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Q:

Three triangles are marked out of a bigger triangle at the three vertices such that each side of each of the smaller triangles is one-third as long as each corresponding side of the bigger triangle. The ratio of the area of the three small triangles taken together to that of the rest of the bigger triangle is ?

A) 1:2 B) 1:3
C) 3:1 D) 1:9
 
Answer & Explanation Answer: A) 1:2

Explanation:
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Filed Under: Ratios and Proportions
Exam Prep: Bank Exams

6 1481
Q:

If x/y = 4/9, then what is the value of (7x2  19xy + 11y2)/y2 ?

A) 59/81 B) 100/27
C) 319/81 D) 913/81
 
Answer & Explanation Answer: C) 319/81

Explanation:
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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

ABC is right angled at B. If m∠A = 30°., then Sec C =?

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

Explanation:
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Filed Under: Simplification
Exam Prep: Bank Exams

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