Aptitude and Reasoning Questions

Q:

What is the area (in sq cm) of a rectangle of perimeter 90 cm and breadth 20 cm?

A) 500 B) 400
C) 250 D) 450
 
Answer & Explanation Answer: A) 500

Explanation:
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Filed Under: Area
Exam Prep: Bank Exams

0 1993
Q:

18 men or 36 boys working 6 hours a day can plough a field in 24 days. In how many days will 24 men and 24 boys working 9 hours a day plough the same field ?

A) 9 B) 10
C) 6 D) 8
 
Answer & Explanation Answer: D) 8

Explanation:
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Filed Under: Time and Work
Exam Prep: Bank Exams

1 1993
Q:

If p/q = (x+3)/(x-3), then what is the value of p2+q2p2-q2 ?

A) x+9 B) x2+96x
C) x2+186x D) 0
 
Answer & Explanation Answer: B) x2+96x

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Filed Under: Simplification
Exam Prep: Bank Exams

0 1993
Q:

The length of the diagonal of a square is 14 cm. What is area of this square?

A) 49 sq cm B) 196 sq cm
C) 98 sq cm D) 77 sq cm
 
Answer & Explanation Answer: C) 98 sq cm

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Filed Under: Area
Exam Prep: Bank Exams

1 1993
Q:

A man walks at a speed of 3 kmph. He doubles his speed after reaching exactly half way. He walks for 5 hours in all. What is the total distance travelled by him?

A) 19 km B) 15 km
C) 12 km D) 20 km
 
Answer & Explanation Answer: D) 20 km

Explanation:

Let total distance be 2D.

 

He walks half distance i.e, (2D/2) = 'D' distance with 3 kmph and

The next 'D' with 6 kmph.

 

 

Using formula,

Time = Distance/speed

 

(D/3) + (D/6) = 5

 

D =10 ,

Hence, Total distance 2D  =  20 kms.

 

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Filed Under: Time and Distance
Exam Prep: Bank Exams

15 1992
Q:

A tower stands on the top of a building which is 40 metres high. The angle of depression of a point situated on the ground from the top and bottom of the tower are found to be 60 and 45 deg respectively. What is the height (in metres) of tower?

A) 20√3 B) 30(√3 + 1)
C) 40(√3 – 1) D) 50(√3 – 1)
 
Answer & Explanation Answer: C) 40(√3 – 1)

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Filed Under: Simplification
Exam Prep: Bank Exams

0 1992
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 1992
Q:

After two successive discounts of 20% and 35%, an article is sold for Rs 50700. What is the marked price (in Rs) of the article?

A) 92500 B) 98500
C) 97500 D) 94000
 
Answer & Explanation Answer: C) 97500

Explanation:
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Filed Under: Percentage
Exam Prep: AIEEE , Bank Exams , CAT

0 1992