FIRST IN INDIA FEMALE BY GO WITH NOTES

 FIRST IN INDIA FEMALE BY GO WITH NOTES 

 

Role	Female Personality
India's first Female Train Driver	Surekha Yadav
India's first Female Tabla Maestro	Dr. Aban E. Mistry
India's first Female recognized as Billionth Citizen	Astha Arora
India's first Female to fly an Aircraft	Sarla Thakral
First Female Secretary General of Rajya Sabha in India	V. S. Ramadevi
India's first Female to hold a Union Cabinet Post in Pre-Independent India.	Vijaya Lakshmi Pandit
First Indian Woman to get Nobel Prize	Mother Teresa
First Indian Female to swim across English Channel	Arati Saha
First Indian Woman to complete her MBBS	Kadambini Ganguly
First Indian Woman Chief Engineer	P. K. Tresia Nanguli
First Indian Woman to reach Antarctica	Meher Moos in 1976
First Indian Woman Foreign Secretary	Nirupama Menon Rao
India’s first Woman Commercial Pilot	Prem Mathur of Deccan Airways
India’s first Woman Sahitya Award Winner	Amrita Pritam
India's first Woman to be elected as the General President of the Indian Science Congress	Dr. Asima Chatterjee
India’s first Woman to win WTA Tennis Tournament	Sania Mirza
First Indian Woman as Chief Justice of Mumbai High Court	Sujata Manohar
First Indian Woman to receive Jnanpith Award	Ashapoorna Devi
First Indian Woman Barrister	Cornelia Sorabji
First Indian woman mountaineer to scale the seven continental peaks	Premlata Agarwal
First Indian woman amputee to scale Everest	Arunima Sinha
First Indian Woman Chairman of Indian Banks Association	Usha Ananthasubramanian
First Woman Chairperson of National Woman Commission	Mrs. Jayanti Patnaik
First Indian Woman to receive Asiad Gold Medal	Kamaljeet Sandhu
First Indian Woman Speaker of State Assembly of India	Shanno Devi
First Actress in the Indian Cinema	Devika Rani
First Indian Woman Headmistress in school	Savitribai Phule
First Indian Woman Doordarshan News Reader	Pratima Puri
First Indian Woman to reach in Olympic Games	Sini Abraham
First Indian Woman to receive Norman Borlaug Award	Dr. Amrita Patel
India's first woman IAS officer after Independence	Anna Rajam Malhotra
India’s first Woman President of Student's Union	Anju Sachdeva of Delhi University
India’s first Woman Chairperson of Rajya Sabha	Violet Hari Alva

 RATIO AND PROPORTION FORMULA 

BY GO WITH NOTES 

• If x% of a number (N) is y, then N = y/x x 100
• If x1% and x2% of a number (N) are N1 and N2 respectively, then 

• If a number increased by x% and then decreased by x% or is decreased by x% and then increased by x%, then the original number decreases by 

• If “a” exceeds “b” by x%, then “b” is short of “a” by 

• If “a” short of “b” by x%, then “a” exceeds “b” by 

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GO WITH NOTES

RATIO AND PROPORTION CLASS -9 NOTES BY GO WITH NOTES

 

1. Summary:
2. a, b, c, d are in proportion if a/d = b/c
3. Mean proportional:
4. If a: b:: b: c, then a/b = b/c
5. b2 = ac
   b = √ac
6. Duplicate Ratio: The duplicate ratio of (a : b) is (a2 : b2)
7. Sub-Duplicate Ratio: The sub-duplicate ratio of (a: b) is 
   
8. Triplicate Ratio: The Triplicate ratio of (a : b) is (a3 : b3)
9. Sub-Triplicate Ratio: The sub-triplicate ratio of (a: b) is (a1/3: b1/3)
   

1. If a: b = 5 : 9 and b : c = 4 : 7, find a : b : c.
2. Find the fourth proportional of 5, 8, 15.
3. If Rs. 782 be divided into three parts, proportional to 1/2:2/3:3/4 , then find the first part.
4. A bag contains 50 p, 25 p and 10 p coins in the ratio 5 : 9 : 4, amounting to Rs. 206. Find the number of coins of each type.
5. The third proportional of 0.36 and 0.48 is
6. If 2A = 3B and 4B = 5C, then A : C is
7. If x : y = 5 : 2, then (8x + 9y) = (8x + 2y) is
8. Two numbers are in the ratio 3 : 5. If 9 is subtracted from each, the new numbers are in the ratio 12 : 23. The smaller number is:
9. The ratio of three numbers is 3 : 4 : 7 and their product is 18144. The numbers are:
10. What least common number must be subtracted from each of the numbers 14, 17, 34 and 42 so that the remainders may be proportional?