Square Root Tricks – Unit Digits of Squares
How to Find Square Root of a Four Digit Number – Shortcut Method
Let us take another example.

How to Find Square Root of a Five Digit Number – Shortcut Method













| Zoo Name | Location | State |
|---|---|---|
| Nandankanan Zoological Park | Bhubaneswar | Odisha |
| Assam State Zoo-cum-Botanical Garden | Guwahati | Assam |
| Allen Forest Zoo | Kanpur | Uttar Pradesh |
| Alipore Zoological Gardens | Kolkata | West Bengal |
| Aizawl Zoo | Aizawl | Mizoram |
| Amirthi Zoological Park | Vellore | Tamil Nadu |
| Arignar Anna Zoological Park (Vandalur Zoo) | Chennai | Tamil Nadu |
| Bhiwani Zoo | Bhiwani | Haryana |
| Birsa Deer Park (Kalamati Birsa Mrig Vihar) | Ranchi | Jharkhand |
| Black Buck Breeding Centre Pipli Mini Zoo | Kurukshetra | Haryana |
| Chatt Bir Zoo | Zirakpur | Punjab |
| Chennai Snake Park Trust | Chennai | Tamil Nadu |
| Chinkara Breeding Centre Kairu ( Bhiwaninear Bahal ) | Bhiwani | Haryana |
| Crocodile Breeding Centre (Bhaur Saidan (Kurukshetra) | Kurukshetra | Haryana |
| Gopalpur Zoo | Gopalpur | Himachal Pradesh |
| Gulab Bagh and Zoo | Udaipur | Rajasthan |
| Hisar Deer Park | Hisar | Haryana |
| Indira Gandhi Zoological Park | Visakhapatnam | Andhra Pradesh |
| Indore Zoo | Indore | Madhya Pradesh |
| Jaipur Zoo | Jaipur | Rajasthan |
| Jawaharlal Nehru Biological Park | Bokaro Steel City | |
| Jhargram Zoo | Jhargram | West Bengal |
| Jijamata Udyaan | Mumbai | Maharashtra |
| Kankaria Zoo | Ahmedabad | Gujarat |
| Kanpur Zoo | Kanpur | Uttar Pradesh |
| Kurukshetra Zoo | Karnal | Haryana |
| Lucknow Zoo | Lucknow | Uttar Pradesh |
| Madras Crocodile Bank Trust | Chennai | Tamil Nadu |
| Maitri Bagh | Bhilainagar | Chhattisgarh |
| Marble Palace zoo | Kolkata | West Bengal |
| Mysore Zoo | Mysore | Karnataka |
| National Zoological Park | New Delhi | Delhi |
| Nehru Zoological Park | Hyderabad | Telangana |
| Padmaja Naidu Himalayan Zoological Park | Darjeeling | West Bengal |
| Parassinik Kadavu Snake Park | ||
| Peacock & Chinkara Breading Centre Jhabua | Rewari | Haryana |
| Pheasant Breeding Centre Berwala | Panchkula district | Haryana |
| Pheasant Breeding Centre Morni | Panchkula | Haryana |
| Pt. G.B. Pant High Altitude Zoo | Nainital | Uttarakhand |
| Rajiv Gandhi Zoological Park | Pune | Maharashtra |
| Ranchi Zoo (Bhagwan Birsa Munda Biological Park) | Ranchi | Jharkhand |
| Rohtak Zoo | Rohtak | Haryana |
| Sakkarbaug Zoological Garden | Junagadh | Gujarat |
| Sanjay Gandhi Jaivik Udyan | Patna | Bihar |
| Sarthana Zoo | Surat | Gujarat |
| Sayaji Baug Zoo | Vadodara | Gujarat |
| Sipahijola Wildlife Sanctuary | Tripura | Tripura |
| Sri Venkateswara Zoological Park | Tirupati | Andhra Pradesh |
| Tata Steel Zoological Park (Jubilee Park) | Jamshedpur | Jharkhand |
| Thim Park | Jamshedpur | Jharkhand |
| Thiruvananthapuram Zoo | Trivandrum | Kerala |
| Thrissur Zoo | Thrissur | Kerala |
| Vulture Conservation and Breeding Centre | Pinjore | Haryana |
| Zoo Name | Location | State | Rank |
|---|---|---|---|
| Arignar Anna Zoological Park (Vandalur Zoo) | Chennai | Tamil Nadu | Biggest in India |
| Nandankanan Zoological Park | Bhubaneswar | Odisha | 2nd Biggest in India |
| Indira Gandhi Zoological Park | Visakhapatnam | Andhra Pradesh | 3rd Biggest in India |
Mensuration Formulas for 3D Figures
8. Mensuration Formulas for CUBOID
In the following formulae, l = length, b = breadth and h = height

Total surface area of cuboid = 2 (lb + bh + lh)
Length of diagonal of cuboid= √(l2+b2+h2)
Volume of cuboid = l × b × h
9. Mensuration Formulas for CUBE
In the following formulae, a = side of a cube

Volume of cube = a3
Total surface area of cube = 6a2
Length of Leading Diagonal of Cube = a√3
10. Mensuration Formulas for CONE
In the following formulae, r = radius of base, l = slant height of cone and h = height of the cone (perpendicular to base)

Slant height of a cone = l =√(h2+r2 )
Curved surface area of a cone = C = Ļ × r × l
Total surface area of a cone = Ļ × r × (r + l)
Volume of right circular cone =1/3 Ļr2h
11. Mensuration Formulas for CYLINDER
In the following formulae, r = radius of base, h = height of cylinder

Curved surface area of a cylinder = 2Ļrh
Total surface area of a cylinder = 2Ļr(r + h)
Volume of a cylinder = Ļr2h
12. Mensuration Formulas for SPHERE
In the following formulae, r = radius of sphere, d = diameter of sphere
Surface area of a sphere = 4Ļr2 = Ļd2
Volume of a sphere = (4/3) Ļr3 = (1/6)Ļd3
13. Mensuration Formulas for HEMISPHERE
In the following formulae, r = radius of sphere

Volume of a hemisphere =(2/3)Ļr3
Curved surface area of a hemisphere = 2Ļr2
Total surface area of a hemisphere = 3Ļr2
14. Mensuration Formulas for HOLLOW CYLINDER
Hollow cylinder made by cutting a smaller cylinder of same height and orientation out of a bigger cylinder.

Volume of hollow cylinder = Ļh(R2– r2)
(Where, R = radius of cylinder, r = radius of cavity, h = height of cylinder)
15. Mensuration Formulas for FRUSTUM OF A RIGHT CIRCULAR CONE
Frustum is created when a plane cuts a cone parallel to its base.
In the following formulae, R = radius of the base of the frustum, r = radius of the top of the frustum,
h = height of the frustum, l = slant height of the frustum

If a cone is cut by a plane parallel to the base of the cone, the lower part is called the frustum of the cone.
Slant height of the frustum =l=√(h2+(R-r)2)
Curved surface area of frustum = Ļ(R + r)l
Total surface area of frustum = Ļ(R + r)l + Ļ(R2 + r2)
Volume of the frustum=(1/3)Ļh(R2+r2+Rr)
16. Mensuration Formulas for PRISM

Prism consists of two polygonal bases which are parallel to each other.
These bases are joined by lateral faces, which are perpendicular to the polygonal bases.
The number of lateral faces is equal to the number of sides in the polygonal base. Thus, the base of a prism could be of various shapes, namely, triangular, quadrangular, pentagonal etc.
Volume of prism = Base area × height
Lateral surface area of prism = perimeter of base × height
Total surface area of prism = Lateral surface area + (2 × base area)
17. Mensuration Formula for PYRAMID

Pyramid consists of a polygonal base and triangles at its sides. These triangles are called faces.
The base could be of any shape, whereas the faces are generally isosceles triangles.
All these triangular faces meet in a single point called the apex.
Total surface area of pyramid = base area + (number of sides × ½ × slant height × base length)
Volume of pyramid = (1/3) × base area × height
1. Mensuration Formulas for RECTANGLE
Area of Rectangle = Length × Breadth. 
Perimeter of a Rectangle = 2 × (Length + Breadth)
Length of the Diagonal = √(Length2 + Breadth2)
2. Mensuration Formulas for SQUARE
Area of a Square = Length × Length = (Length)2
Perimeter of a square = 4 × Length
Length of the Diagonal = √2 × Length
3. Mensuration Formulas for PARALLELOGRAM
Area of a Parallelogram = Length × Height
Perimeter of a Parallelogram = 2 × (Length + Breadth)
4. Mensuration Formulas for TRIANGLE

Area of a triangle=(1/2)(Base × Height)=(1/2)(BC×AD)
For a triangle with sides measuring a, b and c, respectively:

Perimeter = a + b + c
s = semi perimeter = perimeter/2 = (a+b+c)/2
Area of Triangle, A=
(This is also known as “Heron’s formula”)

Area of isosceles triangle = 
(Where a = length of two equal side, b = length of base of isosceles triangle.)

Area of an equilateral triangle = 
(Where, a is the side of an equilateral triangle)
5. Mensuration Formulas for TRAPEZIUM

Area of a trapezium = (1/2) × (sum of parallel sides) × (distance between parallel sides)
= (1/2) × (AB+DC) × AE
Perimeter of a Trapezium = Sum of All Sides
6. Mensuration Formulas for RHOMBUS

Area of a rhombus=(1/2)×Product of diagonals

Perimeter of a rhombus = 4 × l
(where l = length of a side)
7. Mensuration Formulas for CIRCLE and SEMICIRCLE
In the following formulae, r = radius and d = diameter of the circle

Area of a circle = Ļr2= (Ļd2)/4
Circumference of a circle = 2Ļr = Ļd
Circumference of a semicircle = Ļr
Perimeter of the semicircle = (Ļr+d)
Area of semicircle =(Ļr2)/2 
Length of an arc = (2ĻrĪø)/360, where Īø is the central angle in degrees.

Area of a sector = (1/2) × (length of arc) × r = (Ļr2Īø)/360
Part 1 deals largely with 2D formulas. You can also Read Part 2 of Mensuration Formula
Even those of you who are well-versed with English end up making the silliest of errors in grammar. It is a very natural tendency but error-spotting is not an art that one can’t master. It is just a matter of swearing by some guidelines and practice! Here are 26 tips for error spotting in English:
1. Certain nouns possess a singular form but still represent plurality and thus, take a plural verb when used in a sentence.
E.g. Cattle, peasantry, people, clergy, police.
Thus,
The Police has come (Incorrect)
The Police have come (Correct)
2. Certain nouns always take the plural verb because their form is always plural.
E.g. Scissors, trousers, spectacles, thanks, premises.
Thus,
The scissors is kept on the table. (Incorrect)
The scissors are kept on the table. (Correct)
3. When a number is followed by a noun denoting measure, length, money, number or weight, the form of the nouns does not change so long as they are followed by another noun or pronoun.
E.g. Million, pair, metre, year, dozen, foot, head.
Thus,
This is a nine-metres cloth. (Incorrect)
This is a nine-metre cloth. (Correct)
4. When a number is followed by a noun denoting measure, length, money, number or weight, but these are not followed by another noun or pronoun, then they take the plural form.
E.g. Million, pair, metre, year, dozen, foot, head.
Thus,
This sari is nine yard long. (Incorrect)
This sari is nine yards long. (Correct)
5. Certain nouns, especially of the collective category, are used as singular when they specify a unit.
E.g. Public, team, committee, government, audience, orchestra, company, jury.
Thus,
The public were unanimous in their opinion. (Incorrect)
The public was unanimous in its opinion. (Correct)
6. Certain nouns, especially of the collective category, are used in plural when they specify a difference of opinion or class.
E.g. Public, team, committee, government, audience, orchestra, company, jury.
Thus,
The jury was divided in its opinion. (Incorrect)
The jury were divided in their opinion. (Correct)
7. If the pronoun ‘one’ is used, it must be maintained throughout the sentence.
Thus,
One must respect his elders. (Incorrect)
One must respect one’s elders. (Correct)
8. The word ‘whose’is used for living people and ‘which’ is used for non-living things or ideas.
Thus,
Which box is kept on the table? (Incorrect)
Whose box is kept on the table? (Correct)
9. ‘Less’ is used to denote quantity while ‘fewer’ is used to denote number.
Thus,
No less than twenty people were (Incorrect)
No fewer than twenty people were (Correct)
10. ‘One of’is always followed by noun in the plural form.
Thus,
She is one of the least important person in the office. (Incorrect)
She is one of the least important people in the office. (Correct)
11. Only ‘than’ should be used after ‘no other’
Thus,
I like no other movie but Titanic. (Incorrect)
I like no other movie than Titanic. (Correct)
12. After the word ‘Know’, ‘how, ‘what’ or ‘when’ should be used before using the infinitive.
Thus,
I know to speak English. (Incorrect)
I know how to speak English. (Correct)
13. If the verb indicates a purpose, an infinitive must be used and if the verb indicates a cause, a gerund must be used.
Thus,
He went to the mall for watching a movie. (Incorrect)
He went to the mall to watch a movie. (Correct)
He was suspended to show indiscipline. (Incorrect)
He was suspended for showing indiscipline.(Correct)
14. ‘As’ is not used with verbs like ‘appointed’, ‘elected’ , ‘considered’, ‘called’ but it is used with the word ‘regard’.
Thus,
He was elected as Secretary of the organisation. (Incorrect)
He was elected Secretary of the organisation. (Correct)
I regard Sahil my best friend. (Incorrect)
I regard Sahil as my best friend. (Correct)
15. Adverbs should not be confused with adjectives. An adjective describes the characteristic of the subject while an adverb describes the action of the verb.
Thus,
The horse looked beautifully. (Incorrect)
The horse looked beautiful. (Correct)
16. Question tags are always the opposite of the sentence which means that if the sentence is positive, the question tag is negative and vice versa.
Thus,
You were dancing, were you? (Incorrect)
You were dancing, weren’t you? (Correct)
17. An infinitive verb should never be split.
Thus,
I request you to kindly tell me. (Incorrect)
I request you kindly to tell me. (Correct)
18. A pronoun after ‘like’, ‘unlike’ and ‘let’ takes an objective case.
Thus,
You will never find a woman like she. (Incorrect)
You will never find a woman like her. (Correct)
Let I do it. (Incorrect)
Let me do it. (Correct)
19. The relative pronoun ‘that’is used instead of ‘who’ or ‘which’ after adjectives in the superlative degree.
Thus,
This is the best which she could do. (Incorrect)
This is the best that she could do. (Correct)
20. To show equality ‘as’ is used both before and after the adjective.
Thus,
I can run as fast, if not faster than you. (Incorrect)
I can run as fast as, if not faster than you. (Correct)
21. Even though more than one’indicates a plural sense, it agrees with a singular noun and takes a singular verb.
Thus,
More than one students completed their project. (Incorrect)
More than one student completed his project. (Correct)
22. ‘Scarcely’and ‘hardly’ are followed by ‘when’ and not by ‘than’.
Thus,
Hardly had the teacher left the room than the pupils started enjoying. (Incorrect)
Hardly had the teacher left the room when the pupils started enjoying. (Correct)
23. ‘Though’ is followed by ‘yet’and not by ‘but’.
Thus,
Though he is poor but he is honest. (Incorrect)
Though he is poor, yet he is honest. (Correct)
24. ‘Lest’must be followed by ‘should’ or by nothing at all and ‘Such’ must be followed by ‘as’.
Thus,
Work hard lest you will fail. (Incorrect)
Work hard lest you should fail. (Correct)
Work hard lest you fail. (Correct)
He is such a writer that everybody should read his books. (Incorrect)
He is such a writer as everybody should read his books. (Correct)
25. ‘Unless’ expresses a condition and is always used in the negative sense. Thus ‘not’ is never used with ‘unless’.
Thus,
Unless you do not work hard, you will not excel in the examination. (Incorrect)
Unless you work hard, you will not excel in the examination. (Correct)
26. ‘When’denotes a general sense and ‘while’ implies a time duration of doing something.
Thus,
When learning how to sing, technique is of utmost importance. (Incorrect)
While learning how to sing, technique is of utmost importance. (Correct)
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