Quantitative Aptitude - Arithmetic Ability Questions

Q:

In an examination, 35% of total students failed in Hindi, 45% failed in English and 20% failed in both. Find the percentage of those studnets who passed in both the subjects ?

A) 45% B) 35%
C) 20% D) 40%
 
Answer & Explanation Answer: D) 40%

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Filed Under: Percentage
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Q:

If secA + tanA = x, then the value of x is

A) cosA/(1 + sinA) B) √[cosA/(1 - sinA)]
C) √[cosA/(1 + sinA)] D) cosA/(1 - sinA)
 
Answer & Explanation Answer: D) cosA/(1 - sinA)

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Filed Under: Simplification
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Q:

If a - b = -5 and a2+b2=73, then find ab.

A) 35 B) 14
C) 50 D) 24
 
Answer & Explanation Answer: D) 24

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Q:

(251+252+253+254+255) is divided by

A) 23 B) 58
C) 124 D) 127
 
Answer & Explanation Answer: C) 124

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Q:

If a + b = 3 and ab = -4, then what is the value of a3 + b3?

A) 36 B) 63
C) 12 D) -15
 
Answer & Explanation Answer: B) 63

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Q:

Select the odd word from the given alternatives.

A) Nylon B) Wool
C) Silk D) Cotton
 
Answer & Explanation Answer: A) Nylon

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Filed Under: Odd Man Out
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Q:

Sashi can do a piece of work in 20 days. Tanya is 25% more efficient than Sashi. The number of days taken by Tanya to do the same piece of work is:

A) 15 B) 16
C) 18 D) 25
 
Answer & Explanation Answer: B) 16

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Filed Under: Time and Work
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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