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:

Reflection of the point (2,-4) in the origin is

A) (2,4) B) (-2,-4)
C) (2,-4) D) (-2,4)
 
Answer & Explanation Answer: D) (-2,4)

Explanation:
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Q:

Two trains are moving in the opposite directions at speed of 43 km/h and 51 km/h respectively. The time taken by the slower train to cross a man sitting in the faster train is 9 seconds. What is the length (in metres) of the slower train?

A) 235 B) 338.4
C) 470 D) 940
 
Answer & Explanation Answer: A) 235

Explanation:
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Filed Under: Problems on Trains
Exam Prep: Bank Exams

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Q:

By what fraction selling price (S.P.) must be multiplied to get the cost price (C.P.) if the loss is 20% ?

A) 4/5 B) 8/5
C) 5/4 D) 6/5
 
Answer & Explanation Answer: C) 5/4

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

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Q:

The difference between cost price and selling price is Rs 12.54. If loss percentage is 33%, then what is the cost price (in Rs)?

A) 35.44 B) 50.54
C) 41 D) 38
 
Answer & Explanation Answer: D) 38

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

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Q:

The average marks obtained by a group of 16 students was 20. One student left the group as a result of which the average of the remaining students rose to 21. But another student joined, as a result of which the average marks of the group dropped a bit and became 20.5. What was the average marks obtained by the student who left and the one who joined?

A) 10 B) 11
C) 8 D) 9
 
Answer & Explanation Answer: D) 9

Explanation:
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Filed Under: Average
Exam Prep: Bank Exams

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Q:

If the numbers  93, 204, 256 are arranged in ascending order, then the right arrangement is 

A) 256 < 204 < 93 B) 93 < 204 < 256
C) 204 < 256 < 93 D) 256 < 93 < 204
 
Answer & Explanation Answer: D) 256 < 93 < 204

Explanation:
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Filed Under: Square Roots and Cube Roots
Exam Prep: Bank Exams

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Q:

In an isosceles triangle, the length of each equal side is twice the length of the third side. The ratio of areas of the isosceles triangle and an equilateral triangle with same perimeter is

A) 30√5 : 100 B) 32√5 : 100
C) 36√5 : 100 D) 42√5 : 100
 
Answer & Explanation Answer: C) 36√5 : 100

Explanation:
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Filed Under: Area
Exam Prep: Bank Exams

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