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X Maths Sample paper for chapter Real number with hints

1. The values of the remainder r, when a positive integer a is divided by 3 are 0 and 1 only. Justify your answer No. According to Euclid’s division lemma, a = 3q + r, where 0 ≤ r < 3 and r is an integer. Therefore, the values of r can be 0, 1 or 2. 2. Can the number 6n, n being a natural number, end with the digit 5? Give reasons. : No, because 6 n = (2 × 3) n = 2 n × 3 n , so the only primes in the factorization of 6 n are 2 and 3, and not 5. Hence, it cannot end with the digit 5. 3. Write whether every positive integer can be of the form 4q + 2, where q is an integer. Justify your answer. No, because an integer can be written in the form 4q, 4q+1, 4q+2, 4q+3. 4. “The product of two consecutive positive integers is divisible by 2”. Is this statement true or false? Give reasons. True, because n (n+1) will always be even, as one out of n or (n+1) must be even 5. “The product of three consecutive positive integers is divisible by 6”. Is this statement true or f

Matter In Our Surroundings MCQ Class 09

Matter In Our Surroundings MCQ Class 09 #JSunilTutorial  1. Camphor is purified by the process of – a. evaporation b. distillation c. sublimation d. filtration 2. LPG is used in the kitchens in our homes in the- a. Solid form b. compressed form c. gaseous form d. none. 3. Which of the following is not fluid - a. water, b. air, c. sand, d. sharbat? 4. On Kelvin scale 0oC is equal to – a. 273 K b. -273 K c. 0 K d. 100 K 5. SI unit of temperature is - a. Kelvin b. Celsius c. Fahrenheit d. Pascal

(Download) CBSE Class X Science Guess Paper 2011-2012

Guess Paper – 2012 Class – X Subject – Physics Name one physical condition on which resitivity of metal depends?  What is the resistance of an electric lamp if it uses 20A when connected to a 220 V?  Why is an ammeter likely to burn out when connected in parallel?  Define current and give its SI unit.  What is SI unit of potential?  Relate1 J and 1V.  Define resistivity and give its SI unit?  When length of a wire is doubled, what is changed in resistivity?  Write the least and maximum possible value that can be obtained when resistors of 2, 3, and 5 ohm are used.  Define electric power and give its SI unit.  What is commercial unit of electric power?  Name the material used for filament of heater.  What type of connection is used in our house wiring?  How is voltmeter connected in circuit?  Why series arrangement is is not used in house wiring? SHORT ANSWERS

9th Atoms and Molecules - Mole Concept and Problems based on mole concept

Mole Concept we can express the quantity of a substance is expressed in terms of mole. Mole is a fundamental unit in the System International d' Unités, the SI system, and it is used to measure the amount of substance In Latin mole means a "massive heap" of material Mole is defined as the amount of substance that contains as many specified elementary particles as the number of atoms in 12g of carbon-12 isotope . One mole is also defined as the amount of substance which contains Avogadro number (6.023 x 1023) of particles. Avogadro number: Number of atoms or molecules or ions present in one mole of a substance is called Avogadro number. Its value is 6.023 x 10 23 Therefore, one mole of any substance contains Avogadro number of particles. The particles may be atoms, molecules, ions etc E.g. 1 mole of oxygen atoms = 6.023 x 10 23 atoms, molecules, ions etc  of oxygen                                                = 32g of O 2 Problems (based on m