Laws of exponents

Laws of exponents | Maths

am x an = am+n
am / an = am-n
(am)n = amn
(ab)n = anbn
( a/ b)n = ( an / bn )
a0 = 1 where a ≠ 0
a-m = 1/am where a ≠ 0

Questions

1.251/4 x 251/4 =?

(Women Civil Excise Officer 2018)

(251/4 )² = 251/2 = 5

2. (8/125)⅔ × (5/2)² എത്രയാണ് ?
(STORE KEEPER-KSFDC 2018)
(2/5)2 x (5/2)2 =1

3.If 4P = 86, then P is

(Beat Forest Officer 2018)

22P = 218

2P= 18
P=9

4.What is to be added to 236 to get 237 ?

(Beat Forest Officer 2018)

236 + n = 237

n = 237 - 236 = 236 (2 - 1) = 236

5.105 x 10-8=

(WOMEN POLICE CONSTABLE NCA 2018)

10(5-8)= 10-3=0.001

6.64n/3 x 8-n/6 / 512-n/2

(Secretary,Block Panchayat 2018)

64n/3 x 8-n/6 / 512-n/2

4n x 1/8n/6 x 512n/2

4n x 1/ 23n/6 x (16 √2)n

4n x 1/ (√2)n x (16 √2)n

4n x 16n

43n

7.9910 + 100 x 100° എത്രയാണ്? (Security Guard- Government Secretariat 2018)
9910 + 100 = 10010

8.Simplify : (5–1 ÷6–1) (⅕)–1

(Civil Police Officer 2018)

1/5 x 6 x 5 =6

9.2a+b = 4 x 8 x 16, then (a + b)² = ?

(Junior Assistant KSFE /KSEB/KSRTC 2018)

2a+b =22+3+4 = 29

(a+b)² = 9² =81

Previous
Next

Comments

Clocks | Maths

The clock represents two things- minutes and hour. The smaller one is hour hand . The larger one is minute hand. The minute hand makes one complete rotation (360°) in 60 minute . The angle traced by minute hand in 1 min = 360/60= 6° The hour hand makes one complete rotation (360°) in 12 hours. The angle traced by hour hand in 1 hour = 360/12= 30° The angle traced by hour hand in 1 min = 30/60= 1/2° The hands of the clock are opposite to each other for 11 times in 12 hours and 22 times in a day. Between 5 and 7 the hands are at opposite direction only once at 6’ O clock The hands of the clock coincide each other for 11 times in 12 hours and 22 times in a day. Between 11 and 1 the hands coincide only once at 12’ O clock The hands are at right angles 44 times in a day Angle between hour hand and minute hand is 30H - 11/2 M H - hour , M - Minute If the angle exceeds 180° subtract from 360° ignore the negative

Kerala District Formation

Thiruvananthapuram : 1 Nov 1956 Thrissur :1 Nov 1956 Kollam : 1 Nov 1956 Kottayam : 1 Nov 1956 Palakkad : 1 Jan 1957 Kannur : 1 Jan 1957 Kozhikode : 1 Jan 1957 Alappuzha : 17 Aug 1957 Ernakulam : 1 Apr 1958 Malappuram : 16 Jun 1969 Idukki : 26 Jan 1972 Wayanad : 1 Nov 1980 Pathanamthitta : 1 Nov 1982 Kasaragod : 24 May 1984 At the time of formation(1 Nov 1956), Kerala had only five districts: Thiruvananthapuram ,Thrissur, Kollam, Kottayam and Malabar. On 1 January 1957, the Malabar district was divided into the districts of Palakkad, Kannur and Kozhikode. Questions 1. Ernakulam District was formed on - April 1, 1958 ( Fireman 2017 ) 2. The district , kasargod came into being in - 1984 ( Fireman 2017) 3. കേരളത്തിൽ അവസാനം രൂപം കൊണ്ട ജില്ല - കാസർകോട് ( Process Server - Judicial 2018 ) Next

Important passes in kerala

Palakkad pass - Palakkad and Coimbatore Aryankavu - Kollam and Tirunelveli Bodinayakanur - Idukki and Madurai Nadukani - Malappuram and Ooty Thamarassery - Wayanad and Mysore Periya - Wayanad and Mysore Perambadi - Kannur and Coorg Questions 1.Which Pass in the Western Ghat connects Madurai district in Tamilnadu with the High Ranges in Idukki district - Bodinayakannur Pass ( Assistant Professor in Nuclear Medicine 2018 ) Previous Next

Brahmananda Sivayogi | Kerala Renaissance

Born on 1852 Childhood name Govindan Kutti Real name Karat Govinda Menon Born in Kollengode (Palakkad) Formed a new philosophy or religion called Anandadarsa in 1892 founder of Ananda Mahasabha (1918) proponent of the idea Ananda Matham Founder of Sidhasramam at Alathur (Known as Alathur Swami) Died in 1929 Book - Sidhanubhuti , Mokshapradeepam , Sthree Vidhya Poshini , Aananda Vimanam , Anandadarsam , Ananda Suthram Questions 1. Auther of "Ananda Sutram" - Brahmananda Sivayogi ( Assistant Professor in physiology 2019 ) 2018 1.Who authored the work 'Mokshapradipam' - Brahmananda Sivayogi ( Senior Lecturer in Orthopaedics NCA 2018 ) 2. Ananda Mahasabha was founded by - Sivayogi ( Vocational Instructor in Computer Application 2018 ) 3. The real name of Brahmananda Sivayogi - Karatt Govinda Menon ( HSST SANSKRIT 2018 ) 4. Who was the founder of Sidhasramam at Alathur - Brahmananda Sivayogi ( Women Civil Excise Of

Fractions | Maths

ഭിന്നസംഖ്യ Numbers of the form x/y where x and y ≠ 0 Proper fraction: Fractions whose numerator is less than the denominator (Numerator < denominator) Eg : ⅖, ⅜ Improper fraction : Fractions whose numerator either equal to or greater than the denominator (Numerator = denominator or, Numerator > denominator) Eg : 5/4 , 8/3 Mixed fraction : A combination of a proper fraction and a whole number. Eg: 1 ⅓ , 2 ¼ . Mixed fraction can always be expressed as an improper fraction 4 ⅓ =[(4*3) +1] /3 = 13/3 , 2 ¼ =[(2*4) +1] /4 = 9/4 Questions 1.x/y = 1/5 ആയാൽ (x + y)/(x - y) എത്ര ? ( Process Server - Judicial 2018 ) y=5x Substituting y (x + y)/(x - y)= 6x/-4x -3/2 2.-1/x= -7 ആണെങ്കിൽ x എന്ന സംഖ്യ എത്രയായിരിക്കും? ( STORE KEEPER-KSFDC 2018 ) x=1/7 3. If a = 1/3 and b = 1/5, then the value of (a+b) /ab ( Beat Forest Officer 2018 ) (1/3 + 1/5 )/(1/3 * 1/5) (8/15) / (1/15) 8 4. ഒരു സംഖ്യയുടെ 2/3 ഭാഗവും ആ സംഖ്യയുടെ 1/6 ഭാഗവും കൂടിയപ്പോൾ 30 കി

Direct & Indirect speech | English

If the reporting verb is in the Present or Future Tense , the tense of the reported speech does not change He says, “ I am reading” He says that he is reading She will say, "I wash my hair every day." She will say that she washes her hair every day In reported speech the tense of the verb changes as follows Simple present - simple past Leela said, “I write a letter”. Leela said that she wrote a letter. Present continuous - past continuous John said, “I am going to church”. John said that he was going to church Present perfect - past perfect John said, “I have done my homework ”. John said that he had done his homework. Present perfect continuous - past perfect continuous He said, “I have been reading a novel”. He said that he had been reading a novel Simple past - past perfect Angel said, “I brought a pen yesterday”. Angel said that she had bought a pen the day before Past continuou

Ayya Vaikunda Swamikal | Kerala Renaissance

Born on 1809 Place : Swamithoppu ,Tamil Nadu First name : Mudi Choodum Perumal ( due to heavy protest from upper class name changed to Muthukutty because at that time only upper castes were allowed to use the names of gods as their names) He called the British Rule as Rule of White Devil (Ven Neechan) He called the Travancore Rule as Rule of black Devil ( Neechan) Founder of Samathwa Samajam (1836) 'Samatva Samajam' probably the first social organization of Kerala The founder of the Spiritual thoughts Ayyavazhi (The Path of the father) Ayyavazhi tamil film was based on the life of Ayya Vaikundar Publication - Akilathirattu ,Arul Nool (to share ideas of Ayyavazhi) At Tiruchendur, Vaikunda Swamikal attained enlightenment and assumed the title 'Vaikundar' Conducted religious event Thuvayal panthi He is the first to install mirror for worshipping in South India Founded Temple Nizhal Thankal Constructed public well for people. Muthira Ki

Malayalam Newspapers | Kerala

First newspaper in the Malayalam - Rajyasamacharam (Thalassery , 1847) Publisher of Rajyasamacharam - Herman Gundert by Basel Mission. Publisher of Paschimodayam - Herman Gundert The oldest newspaper circulating in Kerala - Deepika (Nasrani Deepika old name) Nazrani Deepika published from Mannanam The first banned newspaper in Kerala - Santhishtavadi Mathrubhumi - K P Kesava Menon (published from Kozhikode in 1923). It becomes a daily from 1930 April. Kesari - Balakrishna Pillai Sujananandini - Kesavan Asan Al- Ameen - Muhammed Abdul Rahiman (known as kerala Subhash Chandra Bose) Deshabhimani - T. K. Madhavan Ezhava Kaumudi - C.V. Kunhiraman Kerala Kaumudi - C.V. Kunhiraman Mithavadi - In 1907 Mithavadi newspaper was published under the leadership of Moorkothu Kumaran from Thalasseri. In 1913 C Krishnan took charge of the newspaper and published it from Kozhikode. Biography of O. Chandu Menon first published in - Mithavadi Newspaper known as ‘

Chattambi swami | Kerala Renaissance

born in 1853 August 25 Place : kollur (Kannammoola ,Trivandrum) Original name : Ayyappan Pet name : Kunjan pillai Also known as " Sarva Vidyadhirajan " After the attainment of Monk hood Chattambi Swami assumed the name Shanmugadasan Learned Siddha Medicine Attain samadhi in 1924 may 5 at Panmana in Kollam district Chattambi Swamikal explained the meaning of 'Chinmudra' to Swami Vivekananda Swami Vivekanandan said about Chattambi Swami “I have met a real man in Kerala.” Quote :The whole universe is one mind. Between mind and mind there is no vacuum He was a Nair reformist, protested against the existing social order for Hindus (Nairs , Ezhavas..) to attain a status equal to that of Brahmins in the society Monism(അദ്വൈതവാദം) is explained in Advaitachintha Padhathi Book - അദ്വൈതചിന്താപദ്ധതി, Vedantasaram , Vedhadikara Niroopanam , Christhumatha Niroopanam , Christhumatha Chethanam , Pracheena Malayalam , Adi Bhasha , Sarvamatha Samar

Sahodaran Ayyappan | kerala Renaissance

Born on 1889 Born at Cherai (Ernakulam) Founder of Sahodara Sangham in 1917 at Cherai Founder of the monthly "Sahodaran" Founder editor of the magazine Yuktivadi Founder of Sree Narayana Sevika Samajam , Vidhyaposhini Sabha Sahodara Sangham organised Mishra Bhojanam in 1917 at Cherai (a grand feast of all castes sitting together under one roof) Also known as Pulaya Ayyappan Father of Modern Malayalam Oratory The founder of the Newspaper " Velakkaran " Famous slogans - "No Caste, No Religion, No God" Book - Kasimahatmyam Maveli naadu vaanidum kaalam and Poem Sahodari Kurathi written by him Died on 1968 Questions 1. Misrabhojanam (Mixed Feast for all castes) was organised by - K. Ayyappan ( SCIENTIFIC ASSISTANT 2018 ) 2.Sahodaran Ayyappan organized Inter dining in 1917 at - Cherai ( Senior Lecturer in Paediatrics NCA 2018 ) 3. Who started the newspaper ‘Velakkaran’ - Sahodaran Ayyappan ( BLAC

Psc Cracker

Search This Blog