🔺 **Formulas of percentage* :-✍️
*
Profit = Selling price – Buying price

Loss = Buying price – Selling price

Profit % = Profit Buying price × 100

Loss % = Loss Buying price × 100

Selling price = Buying price + Profit

Selling price = Buying price – Loss

Selling price = Selling price – Profit

Selling price = Selling price + Loss

Profit = (Profit%/(100 + Profit)) × Selling price

Loss = (Loss%/(100-Loss)) × Selling price

🔺 *Formula of sphere..* ✍️

Curved surface area of sphere = 4πr2
Volume of sphere = 4/3 πr3
*Volume of spherical* shell = 4/3 π (R3 – r3)
Area of the entire surface of spherical shell = 4/3 π(R2- r2 )
Volume of the largest sphere in the cube = 1/6 a3
Surface area of the largest sphere in the cube = πr 2
One side of the largest cube in the sphere = 2R / √3
Curved surface area of a hemisphere = 2 πr2
Entire surface area of a hemisphere = 3 πr2
Volume of a hemisphere = 2/3 πr3

🔺 *Formula of Cone-* ✍️

Volume of cone = 1/3 πr2h
Slant height of a right circular cone = √ ( h2 + r2 )
Height of the cone = √ (l2 – r2 )
Base radius of the cone = √ (l2 – h2 )
Curved surface area of the cone = πrl
Entire surface area of a right circular cone = πr ( l + r )

Area of the base of a cone = πr2

🔺 Cylinder formula... ✍️

Volume of cylinder = πr2h
Height of cylinder = Volume / πr2
Radius of right circular cylinder = √ (Volume / πh)
Volume of metal in a hollow cylinder = πh (R2 – r2 )
Curved surface area of cylinder = 2πrh
Entire surface area of cylinder = 2πr ( h + r )
Height of right circular cylinder = (Entire surface area of cylinder / 2πr) – r
Base area of right circular cylinder = πr2

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✍ IMPORTANT MATHS FORMULA

01. Work = force × distance
कार्य = बल × दूरी

02. Energy = force × distance
ऊर्जा = बल × दूरी

03. Speed = distance / time
गति = दूरी / समय

04. Velocity= displacement / time
वेग = विस्थापन / समय

05. Electric field = electrical force/charge
विद्युत क्षेत्र= वैद्युत बल/आवेश

06. Force = force/area
प्रतिबल=बल/क्षेत्रफल

07. Volume = length × width × height
आयतन = लंबाई × चौड़ाई × ऊंचाई

08. Mass density = mass/volume
द्रव्यमान घनत्व =द्रव्यमान/आयतन

09. Acceleration =velocity / time
त्वरण = वेग / समय

10. Power = work / time
शक्ति = कार्य / समय

11. Pressure = force / area
दाब =बल/क्षेत्रफल

11. Momentum = mass × velocity
संवेग = द्रव्यमान × वेग

13. Area (A) = Length × Width
क्षेत्रफल ( A ) = लम्बाई × चौड़ाई

14. Force (F) = Mass × Acceleration
बल ( F ) = द्रव्यमान × त्वरण

15. Pressure Energy = Pressure × Volume
दाब ऊर्जा = दाब × आयतन

16. Impulse = force × time
आवेग = बल × समय

17. Linear momentum = mass × velocity
रैखिक संवेग = द्रव्यमान × वेग

18. Kinetic energy = 1/2 mv²
गतिज ऊर्जा = 1/2 mv²

19. Mechanical energy = kinetic energy + potential energy
यांत्रिक ऊर्जा = गतिज ऊर्जा + स्थितिज ऊर्जा

20. Angular momentum = Inertial × Angular velocity
कोणीय संवेग = जड़त्वाघूर्ण × कोणीय वेग
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*✍️आज सुबह की प्रमुख 5 सुर्खियाँ/Top 5 headlines of this morning*

*➤ डॉ. नागेश्वर रेड्डी को 'लीजेंड्स ऑफ एंडोस्कोपी' पुरस्कार मिला।*
Dr. Nageshwar Reddy received the 'Legends of Endoscopy'
*➤ श्रेयस अय्यर ने ICC मेंस प्लेयर ऑफ द मंथ अवार्ड जीता।

Shreyas Iyer won the ICC Men's Player of the Month Award.
`

*➤ दिल्ली का IGI एयरपोर्ट 2024 में वैश्विक स्तर पर 9वें सबसे व्यस्त एयरपोर्ट की श्रेणी में शामिल।*
Delhi's IGI Airport ranked 9th busiest airport globally in 2
*➤ QpiAI ने भारत का शक्तिशाली 25-क्यूबिट क्वांटम कंप्यूटर लॉन्च किया।

QpiAI launched India's powerful 25-qubit quantum computer.

*➤ NaBFID और NDB ने इंफ्रा और सतत विकास को बढ़ावा देने के लिए समझौता ज्ञापन पर हस्ताक्षर किए।*

NaBFID and NDB signed MoU to boost infrastructure and sustainable development.

Join- @quiz_adda22

*5. A bag contains 5 red balls, 3 blue balls, and 2 green balls. If a ball is selected at random, what is the probability that it is not blue?*

A) 5/10😂
B) 7/10🔥
C) 8/10👍
D) 9/10❤️

A. 6🤝
B. 7👍
C. 8👊
D. 9🙏

How to memorise reactivity series 👆👆👆

लगुत्तम और महत्तम फार्मूला
*ल.स. = (पहली संख्या × दूसरी संख्या) ÷ HCF
*ल.स × म.स. = पहली संख्या × दूसरी संख्या
*पहली संख्या = (LCM × HCF) ÷ दूसरी संख्या
*म.स. = (पहली संख्या × दूसरी संख्या) ÷ LCM
*दूसरी संख्या = (LCM × HCF) ÷ पहली संख्या

छत्तीसगढ़ के बिलासपुर स्थित गुरु घासीदास केंद्रीय विश्वविद्यालय एक बार फिर विवादों में घिर गया है.

*_विश्वविद्यालय के राष्ट्रीय सेवा योजना (NSS) कैंप में हिंदू छात्रों से जबरन नमाज़ पढ़वाने का सनसनीखेज़ आरोप लगा है._*


*क्या आपके हिसाब से इस मामले में गुरु घासीदास केंद्रीय विश्वविद्यालय पर सख्त एक्शन लिया जाना चाहिए?*

_रिएक्ट करें_
👍 - *हां,धार्मिक स्वतंत्रता का उल्लंघन है*
👎 - *नहीं,पहले निष्पक्ष जांच जरूरी है*
🙏 - *जरूरी है कि सभी धर्मों का सम्मान हो*
😮 - *कह नहीं सकते*

*6. What is the value of y in the equation 2y - 4 = 8?*

A) 4😢
B) 5👍
C) 6❤️
D) 7🔥

*7. A car travels from Harare to Bulawayo at an average speed of 60 km/h. If the distance between the two cities is 440 km, how long does the journey take?*

A) 6 hours😂
B) 7 hours🔥
C) 7.33 hours🥲
D) 8 hours🙏

*MAth Formulas*
Rectangle
Area = length × width
Perimeter = 2 (Length + Breadth)
Diagonal = √{(length)2 + (width)2}
Square
Area = (side) ²
Perimeter = 4 × side
Diagonal = √2 × side
Triangle
Scalene triangle: If a, b and c are the lengths of the first, second and third sides respectively then
(s = semi-parameter) = (a+b+c)/2
And, area = √s(s-a)(s-b)(s-c)
right angle triangle
If the triangle is right angled, then
Area = 1/2 × base × height
equilateral triangle
If the triangle is equilateral, then
Area = {√3/4}(side)²
a Radius of incircle of equilateral triangle = a/(2√3)
Radius of circumcircle of equilateral triangle with side a = a/√3
Circle
*Area = π × (radius)* ²
Circumference = 2π × radius
Radius = diameter/2
Semicircle
Area of semi-circle = 1/2 × π R²
*Perimeter of semi-circle* = (π R + 2R)
Arc length = 2πRθ/360
Area of sector AOB
= 1/2 × (arc AB) × R = 2πR2θ/360
Of the four walls of the room:
Area = 2 × height (length + width)
Height = Area /{2(Length + Width)}

quadrilateral (Quadrilateral)
Parallelogram
Area = base × height
Rhombus
Area = 1/2 × product of diagonals
Trapezium
Area = 1/2 × (sum of parallel sides) × distance between them
Trapezoid
Area = ½ (DP + BQ) × AC
Three dimensional Figures
Cuboid
If the length, breadth and height of the cuboid are L, B and H respectively then
Volume = L × B × H
Area of entire surface = 2 (L × B + B × H + H + L)
Diagonal = √(L2 + B2 + H2)
Cube
If each side of the cube is a yes, then
Volume = a × a × a = a³
Area of entire surface = 2(a × a + a × a + a × a) = 6a²
Diagonal of cube = √(a2 + a2 + a2) = √3 a
Cylinder
If the radius of the cylinder is r and height or length is h, then
Volume = πr²h
Area = 2πrh
Area of entire surface = (2πrh + 2πr²)
Cone
If the radius, height of the base of the cone and its slant height are r, h and ℓ respectively, then:
Volume = (1/3)πr2h
Area of curved surface = πrℓ
Area of entire surface = πrℓ + πr²
slant height = ℓ = = √(r2 + h2 )
Sphere
If the radius of the sphere is r, then
Volume = (4/3)πr3
Curved surface area = 4πr²
Semisphere
Volume = (2/3)πr3
Curved surface area = 2πr²
Total surface area = 2πr² + πr² = 3πr²

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