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Time & Distance - Part 1 | Arithmetic | Tone Academy | Vinay

This class deals with introduction to Distance - Speed - Time concept.- Distance = Speed x Time.- Speed = Distance / Time- Time = Distance / Speed D ∝S ;...

This class deals with introduction to Distance - Speed - Time concept. - Distance = Speed x Time. - Speed = Distance / Time - Time =  Distance / Speed   D ∝S  ; D ∝ T ;  S ∝ 1/T - ‘Speed’ and ‘Time’ are inversely proportional to each other. (when ‘Distance’ is constant) - If the ratio of the speeds of A and B is a:b, then the ratio of the Times taken by them to cover the same distance is “1/a : 1/b” (or) “b:a”. Convertion of  speed  units -  ‘Kmph to m/sec’:   1 Kmph   =  5/18 m/sec 1 m/sec  =  18/5 Kmph.   - If a person travels from point ‘A’ to point ‘B’ at a speed of  ‘S1’ km/hr and returns at a speed of ‘S2’ km/hr. If he takes Time ‘T’ hours in going and coming, the Distance b/w A and B is: D  =    S1 x S2  x Time (in hrs) S1 + S2 - A Train starts from a place A at 6 a.m. and arrived at another place B at 4:30 p.m. on the same day. If the speed of the train is 40 kmph, find the Distance travelled by the train ? - A man travelled a certain distance by train at the rate of 25 kmph and walked back at the rate of 4 kmph. If the whole journey took 5 hours. 48 min’s, find the distance travelled by the man ? For any queries/doubts/information - we are just an email away - mail us @ [email protected] Subscribe to : https://bit.ly/2YQOgbs https://www.youtube.com/playlist?list...

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Finding Number When Different Remainders Are Given | LCM & HCF | Arithmetic | Vinay | Tone Academy

Finding Number When Different Remainders Are Given | LCM & HCF | Arithmetic | Vinay | Tone Academy - This class deals with ‘Finding a Number which when divid...

Finding Number When Different Remainders Are Given | LCM & HCF | Arithmetic | Vinay | Tone Academy - This class deals with ‘Finding a Number which when divided by a, b, c - leaves remainders x, y, z respectively. -  What is the least number, which when divided by 18, 27 and 36 separately leaves remainders 5, 14 and 23 respectively? - Find the greatest number of four digits which when divided by 12, 16 and 24 leave remainders 2, 6 and 14 respectively ? - Finding the LCM and HCF of Fractions given: - L.C.M of a Fraction  =     L.C.M of Numerator / H.C.F of Denominator - H.C.F of a Fraction   =     H.C.F of Numerator /  L.C.M of Denominator - Find the L.C.M of 3/4 , 5/6 , 6/7 ? - Find the H.C.F of 8/21, 12/35, 32/7 ? - Finding the LCM and HCF when ratio’s are given: - If two numbers are in the ratio a:b and their H.C.F is ‘H’. Then the resultant numbers are: aH, bH respectively. - The ratio of two numbers is 2:3 and their L.C.M is 54. Then find (i) the two numbers (ii) Sum of two numbers (iii) Difference of two numbers. - Three numbers are in the ratio 2:3:4 and their H.C.F is 12. Find their L.C.M ? For any queries/doubts/information - we are just an email away - mail us @ [email protected] Subscribe to : https://bit.ly/2YQOgbs https://www.youtube.com/playlist?list...

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LCM & HCF | Introduction | Part-1 | Arithmetic | Vinay | Tone Academy

LCM & HCF | Introduction | Part- | Arithmetic | Vinay | Tone Academy This class deals with introduction to L.C.M and H.C.F concepts.1. L.C.M (Least Common Mu...

LCM & HCF | Introduction | Part- | Arithmetic | Vinay | Tone Academy This class deals with introduction to L.C.M and H.C.F concepts. 1. L.C.M (Least Common Multiple): L.C.M defines the least number which is exactly divisible by two or more numbers. • The L.C.M of two or more numbers is greater than or equal to the greatest number of given numbers. Example: LCM of 10, 15, 30 = 30.                 LCM of 12, 20, 36, 40 = 360. (i) Finding L.C.M of 10, 15, 30 -  by Factorization Method: 10 = 2 x 5 = 21 x 51 15 = 3 x 5 = 31 x 51 30 = 2 x 3 x 5 = 21 x 31  x 51 Therefore, L.C.M of 10 ,15, 30 = 2 x 3 x 5 = 30. Inorder to find the LCM by factorization method, note down the factors of each given number and then multiply each factor (which has the max. Index value) for all the given numbers, to get the LCM.  NOTE: If the same multiple occurs in all the given numbers, then consider the factor which has the maximum index value. (ii) L.C.M of 24, 36 & 40: 24 = 2 x 2 x 2 x 3 =  23 x 31 36 = 2 x 2 x 3 x 3 = 22 x 32 40 = 2 x 2 x 2 x 5 = 23 x 51 Therefore, L.C.M of 24,36,40 = 23 x 32x 51  = 360. 2. H.C.F (Highest Common Factor): H.C.F defines the highest number that is a factor of every number in a given series of numbers. • HCF is also called as GCD (Greatest Common Divisor) or GCF (Greatest Common Factor). • The H.C.F of two or more numbers is smaller than or equal to the smallest number of given numbers. Example: HCF of 36 & 84 = 12. Finding H.C.F: (i) HCF of 32 and 80: Factors of 32 = 1, 2, 4, 8, 16 and 32. Factors of 80 =1, 2, 4, 5, 8, 10, 16, 20 and 80. The common factor of 32 and 80= 1, 2, 4, 8 and 16. Therefore, Highest Common Factor (H.C.F) of 32 and 80 = 16. (ii) HCF of 36, 54 and 63: Factors of 36 = 1, 2, 3, 4, 6, 9, 12, 18 and 36. Factors of 54 = 1, 2, 3, 6, 9, 18, 27, and 54. Factors of 63 =1, 3, 7, 9, 21, and 63. The common factors of 36, 54 and 63 = 1, 3 and 9. Therefore, Highest Common Factor (H.C.F) of 36, 54 and 63 = 9. Finding H.C.F by Factorization method: H.C.F of 36,54,63: 36 = 2 x 2 x 3 x 3 54 = 2 x 3 x 3 x 3 63 = 3 x 3 x 7 Therefore, H.C.F of 36, 54, 63 = 3 x 3 = 9. - Solved examples on L.C.M and H.C.F. - Find the lowest common multiple of 24, 36 and 40 ? - A, B and C start at the same time in the same direction to run around a circular stadium. A completes a round in 252 seconds, B in 308 seconds and C in 198 seconds, all starting at the same point. After what time, will they again meet at the starting point? -  Find the H.C.F of 15, 8, 24, 2 ? - What is the greatest number which divides 639, 1065 and 1491 exactly ? (to find H.C.F) #lcmandhcf #lcm #hcf #QuantitativeAptitude #PlacementTestQuestions #jobInterview #leastcommommultiple #highestcommonfactor For any queries/doubts/information - we are just an email away - mail us @ [email protected] Subscribe to : https://bit.ly/2YQOgbs https://www.youtube.com/playlist?list...