Quantitative Aptitude - Arithmetic Ability Questions

Q:

In the given figure, PQR is an equilateral triangle with side as 12 cm. S and T are the mid points of the sides PQ and PR respectively. What is the area (in sq.cm) of the shaded region?

A) 10√3 B) 12√3
C) 9√3 D) 14√3
 
Answer & Explanation Answer: B) 12√3

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

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Q:

If 27N4 is divisible by 11, then what is the value of N?

A) 2 B) 7
C) 9 D) 6
 
Answer & Explanation Answer: C) 9

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Filed Under: Problems on Numbers
Exam Prep: Bank Exams

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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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Q:

To dispose of the old stocks, a person sold a tea-set for Rs. 3420, which was 43% below the cost price. In order to make a profit of 10% the seller should have sold the set for Rs. ___ more.

A) Rs. 3180 B) Rs. 2580
C) Rs. 1812.60 D) Rs. 2664.42
 
Answer & Explanation Answer: A) Rs. 3180

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Filed Under: Profit and Loss
Exam Prep: Bank Exams

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Q:

Two cycles start from a house with a speed of 24kmph at interval of 15 min. With how much more speed in kmph the woman coming from the opposite direction towards the house has to travel to meet the cycles at an interval of 10 minutes?

A) 13 B) 11
C) 12 D) 14
 
Answer & Explanation Answer: C) 12

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Filed Under: Time and Distance
Exam Prep: Bank Exams

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Q:

A is twice as good as B and together they finish a piece of work in 16 days. The number of days taken by A alone to finish the work is

A) 20 days B) 21 days
C) 22 days D) 24 days
 
Answer & Explanation Answer: D) 24 days

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Filed Under: Time and Work
Exam Prep: Bank Exams

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Q:

Vikram and Vivek can finish a work in 50 days. They worked together for 20 days and then left. How much work has been done by them?

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

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Filed Under: Time and Work
Exam Prep: Bank Exams

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Q:

If (x+a) is the H.C.F of 2x2+5x-12 and x2+x-12 then find the value of a.

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

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Filed Under: Simplification
Exam Prep: Bank Exams

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