Area- Aptitude Questions and Answers

View in English View in Hindi

If the length of a certain rectangle is decreased by 4 cm and the width is increased by 3 cm, a square with the same area as the original rectangle would result. Find the perimeter of the original rectangle?

A)

40 cm


B)

50 cm


C)

60 cm


D)

30 cm



Correct Answer :

50 cm


Explanation :

Let x and y be the length and breadth respectively.
Area of rectangle = x*y
Area of square = (x-4) * (y+3)


As is given , (x-4) * (y+3)= x*y
3x – 4y = 12 ……………………………….(i)

for a square, length = width
(x-4) = (y+3)
x - y = 7 ……………………………….(ii)

Solving eq (i) & (ii) x= 16 and y = 9
Therefore perimeter of rectangle = 2(x+y)= 2(16+9)= 50 cm

If the ratio of areas of two square is 225:256, then the ratio of their perimeters is?

A)

256:225


B)

225:256


C)

16:15


D)

15:16



Correct Answer :

15:16


Explanation :

Let the side of squares be x and y respectively. Then
As is given ,
x2 / y2 = 225/256
x / y = (225/256) = 15 / 16

Ratio of their perimeters = 4x / 4y = x / y = 15 / 16

The circumference of the semi-circle is 180 cm. If the side of a square is 60% more than the diameter of the circle, what is the perimeter of the square?

A)

368 cm


B)

464 cm


C)

486 cm


D)

448 cm



Correct Answer :

448 cm


Explanation :

Given that circumference of semi circle is = 180
let the radius of this Semi circle be R
πR + 2R = 180
R(22/7 + 2)= 180
So, R =180*7 /36

Diameter of this semi circle, D = 2*R

Now, Side of the square = 160/100 D = 160/100 * 2R = 3.2*R

Perimeter of square = 4 * Side of the square = 4*3.2*R = 448

Latest Updates

Trigonometry

What is the value of cot 4π/3 ?

Indian Politics

Article-24 of the Indian Constitution ‘Prohibition of employment of children in factories, etc’ deals with?

Article-134A of the Indian Constitution ‘Certificate for appeal to the Supreme Court’ deals with?

Chemistry

Who invented Aspirin?

Physics

A larger force on a rotating body results in larger?

What is the unit of the physical quantity, magnetic flux density?

Algebra

The system of equations 2x + 4y = 6 and 4x + 8y = 8 is ?

Time and Distance

A thief is spotted by a policeman from a distacne of 100 m. When the policeman starts the chase, the thief also starts running. If the speed of the theif is 8 km / hour and that of the policeman is 10 km/hour, then how far will the theif have to run before he is overtaken?

Algebra

Aman and Alok attempted to solve a quadratic equation. Aman made a mistake in writing down the constant term and ended up in roots (4, 3). Alok made a mistake in writing down the coefficient of x to get roots (3, 2). The correct roots of the equation are?

Compound Interest

The effective annual rate of interest corresponding to a nominal rate of 22% per annum payable half-yearly is?

Volume and Surface Area

If the volume of a cylinder is 2156 cubic cm and height is 14 cm, find its radius?

Algebra

What is the equation of the line which passes through the points (2, 3) and (- 4, 1)?

Triangles

In △ABC, the angle bisector of ∠A cuts BC at E. Find length of AC, if lengths of AB, BE and EC are 9 cm, 3.6 cm and 2.4 cm?

In a triangle, the length of the opposite side of the angle which measures 45° is 8√2 cm, what is the length of the side opposite to the angle which measures 90°?

General Knowledge of India

The boundary line between India and Pakistan is called?

Which city is located on the banks of the river Mahanadi?

Indian History

When was the battle of Haldighati fought?

In 1498, which Portuguese explorer discovered a new sea route from Europe to India?

General Knowledge of India

Chapchar Kut is a festival of which State?

Chemistry

In chemistry, soap is a salt of a ?

Indian Economy

Which of the following is a Direct tax?

Biology

Sauria lacertidae is the scientific name of?

Which of the following is a primary function of haemoglobin?

Average

A factory buys 8 machines.3 Machine A, 2 Machine B and rest Machine C. Prices of the machines are 100000, 80000 and 45000 respectively.Calculate the average cost of these machines?

Discount

Ticket for an adult is 500 and a child is 200. 1 child goes free with two adults. If a group has 20 adults and 8 children what will be the discount the group get?