Area- Aptitude Questions and Answers - in Hindi

View in English View in Hindi

Find the area of a rectangle having 15m length and 8m breadth?

A)

120 sq m


B)

111 sq m


C)

115 sq m


D)

125 sq m



Correct Answer :

120 sq m


Explanation :

Area of Rectangle= Length x Breadth
= 15 x 8 = 120 sq m

Post comment
Cancel
Thanks for your comment.!
Write a comment(Click here) ...
View in English View in Hindi

There is a path made around a circular park. If the difference of external and internal perimeters is 132 meter, then the width of the path is:


किसी वृत्तकार उद्यान के चारों ओर एक समान चौड़ाई का एक पथ बना हुआ है । यदि इस वृत्ताकार पथ की आंतरिक तथा बाह्य‌ परिधियों का अंतर 132 मीटर है, तो पथ की चौड़ाई है:

A)
22 m

B)
20 m

C)
21 m

D)
24 m


Correct Answer :

21 m


Explanation :

Let the inner and outer radii be r and R meters.
then width of the path => 2(pi)R-2(pi)r = 132m
there pi =22/7
So R-r= 132*7/2*22 =21m

therefore width of the path is R-r=21m

The base of right-angled triangle is 5 meters and hypotenuse is 13 meters . Its area will be ?

A)
25 m2

B)
28 m2

C)
30 m2

D)
24 m2


Correct Answer :

30 m2


Explanation :

Hypotenuse = √(base2+height2)
height2 = Hypotenuse2 - base2
height = √(132 - 52)
⇒ √144 ⇒ 12

Area of the triangle = 1/2(base*height)
=1/2(5 * 12 ) m2
= 30m2

If the side of a square is increased by 25%, then how much percent does its area get increased ?

A)

125


B)

156.25


C)

50


D)

56.25



Correct Answer :

56.25


Explanation :

Let side of square is 100 m2 Then, side = 10 m
And, Area = length of a side2 (10)2 m2

increased side by 25 Then, new side = 125 % of 10 ⇒ (125/100) x 10 ⇒ 12.5 m
And,new area = length of a side2 ⇒ (12.5)2 sq. m

Increase in area = (12.5)2 - (10)2 m2
= 156.25 - 100 m2
= 56.25 m2
% Increase = 56.25

if the side of a square be increased by 4 cms. The area increased by 60 sq. cms . The side of the square is ?

A)

12 cm


B)

13 cm


C)

14 cm


D)

5.5 cm



Correct Answer :

5.5 cm


Explanation :

Let each side = x cm
Then, (x + 4 )2 - x2 = 60
⇒ x 2 + 8x + 16 - x2 = 60
⇒ x = 5.5 cm

If the diameters of a circle is increased by 100% . Its area is increased by ?

A)

100%


B)

200%


C)

300%


D)

400%



Correct Answer :

300%


Explanation :

Area of circle = πd2/4

diameters increased by 100%, then new area = π(2d)2 /4 => πd2
Then, New area = (πd2 - πd2/4) => 3πd2/4

increase percent =[(3πd2/4) / ( πd2/4) ]*100 %
= [(3πd2/4) x (4/πd2)]*100 %
= 300%

Find the area of a triangle whose sides measure 8 cm, 10 cm and 12 cm?

A)

8√63 sq cm


B)

5√63 sq cm


C)

6√53 sq cm


D)

7√93 sq cm



Correct Answer :

5√63 sq cm


Explanation :

Area of triangle = √[s(s-a)(s-b)(s-c)] there s = (a+b+c)/2

let, a = 8 cm, b = 10 cm and c = 12 cm
then,s = (a + b + c)/2
= (8 + 10 + 12)/2
= 15 cm

so,Area of triangle = √s(s - a) (s - b) (s - c)
= √[15 * (15 - 8) * (15 - 10) * (15 - 12)]
= √1575
= √[25 x 63]
= 5√63 cm

One side of a parallelogram is 8.06 cm and its perpendicular distance from opposite side is 2.08 cm. What is the approximate area of the parallelogram?

A)

12.56 cm2


B)

14.56 cm2


C)

16.76 cm2


D)

22.56 cm2



Correct Answer :

16.76 cm2


Explanation :

Area of parallelogram = base x height
= 8.06 x 2.08 = 16.76 cm2

The length of the side of a square is represented by x+2. The length of the side of an equilateral triangle is 2x. If the square and the equilateral triangle have equal perimeter, then the value of x is _______?

A)

4


B)

5


C)

6


D)

8



Correct Answer :

4


Explanation :

Since the side of the square is x + 2, its perimeter = 4 (x + 2) = 4x + 8
Since the side of the equilateral triangle is 2x, its perimeter = 3 * 2x = 6x
Also, the perimeters of both are equal.
4x + 8 = 6x
2x = 8
x = 4

The perimeters of two squares are 160cm and 164cm. Find the perimeter of a third square whose area is equal to the difference of the areas of the two squares(in cm).

A)
81

B)
60

C)
36

D)
9


Correct Answer :

36


Explanation :

Perimeter of Square = 4 * length of a side
Area of Square= length of a side2

The perimeters of two squares are 160cm and 164cm ,
So the side of first square = 160/4 = 40 cm
side of second square = 164/4 = 41 cm

Area of third squre = 412 - 402 = 81 sq cm
Then, side of third square = √81 = 9 cm

required perimeter = 4*9 = 36 cm

The sides of a triangle are in the ratio 3:4:5. The perimeter of the triangle is 24cm. The area (in cm2) of the triangle is:

A)
39

B)
26

C)
24

D)
32


Correct Answer :

24


Explanation :

Perimeter = (a+b+c) ,there a,b,c are the sides of a triangle
Area = 1/2(base*height) = √[s(s-a)(s-b)(s-c)] there s = (a+b+c)/2

let's the sides of triangle are 3 cm, 4 cm, and 5 cm in length , then
Perimeter = 3 cm + 4 cm + 5 cm =12 cm

So Area = √[s(s-a)(s-b)(s-c)] there s = (a+b+c)/2 = 12/2 =6
Area = √[6(6-3)(6-4)(6-5)] =√[6*3*2*1] =6

hence Area may be 6 or multiple of 6 that is 6, 12 , 24 ...because sides are given in ratio

In a rhombus of side 10 cm, one of diagonals is 16 cm long. The length of In a rhombus of side 10 cm, one of diagonals is 16 cm long. The length of the second diagonal is ?

A)
16 cm

B)
12 cm

C)
18 cm

D)
20 cm


Correct Answer :

12 cm


Explanation :

The diagonals meet in the middle at a right angle.
All sides of rhombus are equal i.e. 10cm
(Side)2=(half of one diagonal)2+(half of second diagonal)2
by using this formula
(10)2=(8)2+(half of second diagonal)2
(half of second diagonal)2 = 36
half of second diagonal=6
second diagonal=12cm

One diagonal and perimeter of a rhombus are 24 cm and 52 cm respectively. The area of rhombus will be?

A)
60 cm2

B)
120 cm2

C)
100 cm2

D)
30 cm2


Correct Answer :

120 cm2


Explanation :


Side of roumbus =52/4 = 13 cm

Area of the roumbus = (product of diagonals)/2

Let ABCD is rhombus, in which Side of roumbus =AB=13cm , BD=24cm and AC=? cm
the digonal of rhoumbus bisect each other at right angle

in the right angel AOB
OA2+OB2=AB2
OA2+(BD/2)2=AB2
OA2+(12)2=(13)2
OA2= (13)2 - (12)2
OA = √(169-144) =√25 = 5
Hence the lenght of other dignoal is AC=2*OA= 2*5= 10cm
Thus,Area of the roumbus = (product of diagonals)/2
=> ( 24 * 10 ) /2 => 120 cm2

ABCD is a square of side X cm. Its side is increased by 30%. What is the change in its area?


ABCD एक वर्ग है जिसकी भुजा 'X' सेमी हे। यदि इसकी एक भुजा 30% की वृद्धि कर दे तो इसके क्षेत्र में क्या परिवर्तन होगा?

A)
60%

B)
62.5%

C)
63%

D)
69%


Correct Answer :

69%


Explanation :

Let side = X cm
then Area = length of a side2 ⇒ (X)2 cm2

increased side by 30 then, new side = 130 % of X ⇒ (130/100) *X ⇒ 1.3X cm
And,new area = length of a side2 ⇒ (1.3)2 sq. cm

Increase in area = (1.3*X)2 - (X)2 cm2
= 1.69*X2 - X2
= .69*X2
% Increase = 69

The sides of a triangle a, b, c are such that 2a = 3b = 4c and its perimeter is 208 cm. What is the length of the longest side?

A)
48cm

B)
96cm

C)
64cm

D)
54cm


Correct Answer :

96cm


Explanation :

Let 2a = 3b = 4c = x
So, a = x/2 b = x/3 c = x/4
The L.C.M of 2, 3 and 4 is 12
Therefore, a : b : c = x/2 × 12 : x/3 × 12 : x/4 = 12
= 6x : 4x : 3x
= 6 : 4 : 3
Therefore, a : b : c = 6 : 4 : 3

the perimeter of a triangle is sum of its side
Lets take a variable x for the sides,
hence the sides will be 6x,4x,3x respectively.

Perimeter = 6x+4x+3x
208 = 6x+4x+3x = 13x
13x = 208
=> x = 208/13
x=16

Length of the longest side = 6x = 6 x 16 = 96.

What is the longest side of a rectangle which has a perimeter of 70 units and an area of 276 square units?

A)
12 units

B)
18 units

C)
23 units

D)
36 units


Correct Answer :

23 units


Explanation :

let Length =L and Width=W

Perimeter = 2(L + W) = 70
L + W = 35
L = 35 - W

Area = WL = 276
W(35 - W) = 276
35W - W2 = 276
0 = W2 - 35W + 276
0 = (W - 23)(W - 12)
W = {12, 23}
L = {23, 12}

Therefore, the sides of the rectangle are 23 and 12
The longest side of the rectangle is 23 units.

The length and breadth of a rectangular hall are 40 m and 30 m respectively. What is the distance between two opposite corners of the hall?

A)
20 m

B)
35 m

C)
50 m

D)
40 m


Correct Answer :

50 m


Explanation :

Distance between two corners of hall
= √(Length2 + Breadth2)
= √(402 + 302) = √(1600 + 900) = 50 m

Latest Updates

Indian Geography

What is the approximate distance between earth and the moon?

Indian History

In which year was the battle of ‘Koregaon Bhima’ fought?

The approach that is very useful in organizing the content in history is.

General Knowledge of India

NITI Aayog stands for _____.

General Knowledge of MP

India’s first Ramayan art museum was established at?

Errors Identification

Read the sentence carefully and choose the option that has an error in it:
The management’s trusted employee was suspected of stealing large sum of money.

Read the sentence carefully and choose the option that has an error in it:
The teacher asked the child to repeat again because he spoke feebly.

Fill in the blank

Fill in the blank with the most appropriate preposition in the given sentence.
Let’s sit _________ the shade of this beautiful tree.

Choose the most appropriate determiner for the given sentence.
________of what he said was very sensible.

Substitution

Choose the option that substitutes the given phrase appropriately.
A work of art made by carving

Correct sentence

Choose the option that best transforms the sentence into its Indirect form:
‘What country do you come from?’ said the police officer.

Alternative Phrase

Choose the option that best explains the highlighted expression:
All human beings have feet of clay.

Fill in the blank

Choose an appropriate modal for the given sentence:
My doctor said that I_____ stop smoking as one of my lungs got infected.

Choose the appropriate prepositions for the given sentence:
My parents have been married ________ forty-nine years, but you can still see the love ________ their eyes.

Choose the appropriate conjunction for the given sentence:
______ it rains, the college will declare the holiday.

Antonyms

Choose the appropriate antonym for the highlighted word in the given sentence.
The family protracted their visit by several days.

Tenses

Choose the appropriate tenses to fill in the blanks in the given sentence:
Please _________ a noise. Ritu __________ to sleep.

Synonyms

Choose the appropriate synonym for the highlighted word in the given sentence.
Does he really expect us to believe such a flimsy excuse?

Latest Job Notifications

Jobs in Bihar

बिहार तकनीकी सेवा आयोग / Bihar Technical Service Commission (BTSC) - 12771 पद - 01/09/2022 अंतिम तिथि

Jobs in Rajasthan

राजस्थान उच्च न्यायालय / Rajasthan High Court - 2756 पद - 22/09/2022 अंतिम तिथि

Jobs in Uttar Pradesh

उत्तर प्रदेश पावर कॉर्पोरेशन लिमिटेड / Uttar Pradesh Power Corporation Limited - 1033 पद - 12/09/2022 अंतिम तिथि

Jobs in Tamil Nadu

तमिलनाडु चिकित्सा सेवा भर्ती बोर्ड / Tamil Nadu Medical Services Recruitment Board (MRB) - 889 पद - 30/08/2022 अंतिम तिथि

Jobs in Andhra Pradesh

आंध्र प्रदेश स्वास्थ्य, चिकित्सा और परिवार कल्याण विभाग / Andhra Pradesh Health, Medical and Family Welfare Department - 1681 पद - 22/08/2022 अंतिम तिथि

SSC Recruitment

कर्मचारी चयन आयोग (एसएससी) Staff Selection Commission (SSC) - 4300 पद - 30/08/2022 अंतिम तिथि - CPO Recruitment

Banking Jobs

बैंकिंग कार्मिक चयन संस्थान Institute of Banking Personnel Selection(IBPS) - 6432 पद - 22/08/2022 अंतिम तिथि

बैंकिंग कार्मिक चयन संस्थान Institute of Banking Personnel Selection(IBPS) - 7855 पद - 29/07/2022 अंतिम तिथि

SSC Recruitment

कर्मचारी चयन आयोग (एसएससी) Staff Selection Commission (SSC) - 1411 पद - 29/07/2022 अंतिम तिथि

Jobs in Rajasthan

राजस्थान अधीनस्थ और मंत्रिस्तरीय सेवा चयन बोर्ड Rajasthan Subordinate and Ministerial Services Selection Board (RSMSSB) - 5546 पद - 22-Jul-2022 अंतिम तिथि