〈4.5.a〉āĻŦāĻŋāĻ­āĻŋāĻ¨ā§āĻ¨ āĻ§āĻ°āĻŖā§‡āĻ° āĻŽāĻŋāĻļā§āĻ°āĻŖ āĻāĻŦāĻ‚ āĻŽā§āĻĻā§āĻ°āĻž āĻ¸āĻŽā§āĻĒāĻ°ā§āĻ•āĻŋāĻ¤ āĻ¸āĻŽāĻ¸ā§āĻ¯āĻž

[Math Center Home] [āĻ¨ā§‹āĻŸāĻƒ āĻāĻ‡ āĻ†āĻ°ā§āĻŸāĻŋāĻ•ā§‡āĻ˛āĻŸāĻŋ (4) Decimals, Fraction, Percentage āĻŦāĻŋāĻ­āĻžāĻ—ā§‡āĻ°Â āĻ…āĻ§ā§€āĻ¨ā§‡Â ã€ˆ5〉Mixture and Coin Problems āĻšā§āĻ¯āĻžāĻĒā§āĻŸāĻžāĻ°ā§‡āĻ° āĻ…āĻ¨ā§āĻ¤āĻ°ā§āĻ—āĻ¤, āĻ¯āĻžÂ ã€ˆ4.5.a〉āĻšāĻŋāĻšā§āĻ¨ āĻĻāĻŋā§Ÿā§‡ āĻĒā§āĻ°āĻ•āĻžāĻļ āĻ•āĻ°āĻž āĻšā§Ÿā§‡āĻ›ā§‡] 〈4.5.a〉āĻŦāĻŋāĻ­āĻŋāĻ¨ā§āĻ¨ āĻ§āĻ°āĻŖā§‡āĻ° āĻŽāĻŋāĻļā§āĻ°āĻŖ āĻāĻŦāĻ‚ āĻŽā§āĻĻā§āĻ°āĻž āĻ¸āĻŽā§āĻĒāĻ°ā§āĻ•āĻŋāĻ¤ āĻ¸āĻŽāĻ¸ā§āĻ¯āĻž Chemical Mixtures A [latex]500[latex] mL solution is [latex]20[latex]% alcohol by volume. If [latex]100[latex] mL of water is added, what is the new concentration of alcohol, as a percent […]

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〈4.3.a〉āĻ•āĻžāĻœ āĻ“ āĻ—āĻ¤āĻŋāĻ° āĻšāĻžāĻ° āĻŦāĻŋāĻˇā§ŸāĻ• āĻ†āĻ˛ā§‹āĻšāĻ¨āĻž

[Math Center Home] [āĻ¨ā§‹āĻŸāĻƒ āĻāĻ‡ āĻ†āĻ°ā§āĻŸāĻŋāĻ•ā§‡āĻ˛āĻŸāĻŋ (4) Decimals, Fraction, Percentage āĻŦāĻŋāĻ­āĻžāĻ—ā§‡āĻ°Â āĻ…āĻ§ā§€āĻ¨ā§‡Â ã€ˆ3〉Rates(Work, Speed, Conduits) āĻšā§āĻ¯āĻžāĻĒā§āĻŸāĻžāĻ°ā§‡āĻ° āĻ…āĻ¨ā§āĻ¤āĻ°ā§āĻ—āĻ¤, āĻ¯āĻžÂ ã€ˆ4.3.a〉āĻšāĻŋāĻšā§āĻ¨ āĻĻāĻŋā§Ÿā§‡ āĻĒā§āĻ°āĻ•āĻžāĻļ āĻ•āĻ°āĻž āĻšā§Ÿā§‡āĻ›ā§‡] 〈4.3.a〉āĻ•āĻžāĻœ āĻ“ āĻ—āĻ¤āĻŋāĻ° āĻšāĻžāĻ° āĻŦāĻŋāĻˇā§ŸāĻ• āĻ†āĻ˛ā§‹āĻšāĻ¨āĻž (Rates & work strategy) : āĻŦāĻŋāĻ­āĻŋāĻ¨ā§āĻ¨ āĻĒāĻ°ā§€āĻ•ā§āĻˇāĻžā§Ÿ āĻ āĻ§āĻ°āĻŖā§‡āĻ° āĻĒā§āĻ°āĻļā§āĻ¨ #āĻāĻ°āĻŋāĻĨāĻŽā§‡āĻŸāĻŋāĻ• āĻ…āĻ‚āĻļā§‡ āĻĒā§āĻ°āĻžā§ŸāĻ‡āĻƒ āĻĻā§‡āĻ–āĻž āĻ¯āĻžā§ŸāĨ¤ āĻ āĻ§āĻ°āĻŖā§‡āĻ° āĻ…āĻ™ā§āĻ•ā§‡ āĻ¸āĻžāĻ§āĻžāĻ°āĻŖāĻ¤āĻƒ āĻ¨āĻŋāĻšā§‡āĻ° āĻŸāĻžāĻ°ā§āĻŽāĻ—ā§āĻ˛ā§‹ āĻ‰āĻ˛ā§‡Â­āĻ– āĻĨāĻžāĻ•ā§‡āĨ¤ RATE, TIME, & DISTANCE or WORK. āĻāĻ‡ […]

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〈2.2.a〉āĻ¸āĻŽā§€āĻ•āĻ°āĻŖ, āĻ¸ā§‚āĻšāĻ• āĻĒā§āĻ°āĻ­ā§ƒāĻ¤āĻŋ āĻŦāĻŋāĻˇā§ŸāĻ• āĻ†āĻ˛ā§‹āĻšāĻ¨āĻž

[Math Center Home] [āĻ¨ā§‹āĻŸāĻƒ āĻāĻ‡ āĻ†āĻ°ā§āĻŸāĻŋāĻ•ā§‡āĻ˛āĻŸāĻŋ (2) Algebra āĻŦāĻŋāĻ­āĻžāĻ—ā§‡āĻ°Â āĻ…āĻ§ā§€āĻ¨ā§‡Â ã€ˆ2〉Exponents in Equation āĻšā§āĻ¯āĻžāĻĒā§āĻŸāĻžāĻ°ā§‡āĻ° āĻ…āĻ¨ā§āĻ¤āĻ°ā§āĻ—āĻ¤, āĻ¯āĻžÂ ã€ˆ2.2.a〉āĻšāĻŋāĻšā§āĻ¨ āĻĻāĻŋā§Ÿā§‡ āĻĒā§āĻ°āĻ•āĻžāĻļ āĻ•āĻ°āĻž āĻšā§Ÿā§‡āĻ›ā§‡] 〈2.2.a〉āĻ¸āĻŽā§€āĻ•āĻ°āĻŖ, āĻ¸ā§‚āĻšāĻ• āĻĒā§āĻ°āĻ­ā§ƒāĻ¤āĻŋ āĻŦāĻŋāĻˇā§ŸāĻ• āĻ†āĻ˛ā§‹āĻšāĻ¨āĻž āĻāĻ• āĻ¨āĻœāĻ°ā§‡ āĻāĻ‡ āĻ…āĻ§ā§āĻ¯āĻžā§Ÿā§‡āĻ° āĻ¸ā§‚āĻ¤ā§āĻ°āĻ¸āĻŽā§‚āĻš â€ĸ Exponents āĻŦāĻž āĻ¸ā§‚āĻšāĻ• āĻ¯āĻĻāĻŋ āĻœā§‹ā§œ āĻ¸āĻ‚āĻ–ā§āĻ¯āĻž āĻšā§Ÿ āĻ¤āĻŦā§‡ āĻ¸ā§‡āĻ‡Â equation āĻāĻ° āĻĻāĻ‡āĻŸāĻŋ solution āĻĨāĻžāĻ•ā§‡āĨ¤ (āĻ•āĻŋāĻ¨ā§āĻ¤ā§ āĻŦā§āĻ¯āĻ¤āĻŋāĻ•ā§āĻ°āĻŽ āĻ›āĻžā§œāĻž) â€ĸ Negative āĻ¸āĻ‚āĻ–ā§āĻ¯āĻžāĻ°Â square root āĻ¨āĻŋāĻ˛ā§‡ āĻ•āĻžāĻ˛ā§āĻĒāĻ¨āĻŋāĻ• āĻ¸āĻ‚āĻ–ā§āĻ¯āĻž āĻĒāĻžāĻ“ā§ŸāĻž āĻ¯āĻžā§ŸāĨ¤ â€ĸ ODD exponents āĻšāĻ˛ā§‡ […]

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〈1.3.a〉 āĻŦā§ƒāĻ¤ā§āĻ¤, āĻŦā§ƒāĻ¤ā§āĻ¤ā§‡āĻ° āĻ•ā§āĻˇā§‡āĻ¤ā§āĻ°āĻĢāĻ˛ āĻāĻŦāĻ‚ āĻ…āĻ¨ā§āĻ¯āĻžāĻ¨ā§āĻ¯

[Math Center Home] [āĻ¨ā§‹āĻŸāĻƒ āĻāĻ‡ āĻ†āĻ°ā§āĻŸāĻŋāĻ•ā§‡āĻ˛āĻŸāĻŋ (1) Geometry āĻŦāĻŋāĻ­āĻžāĻ—ā§‡āĻ°Â āĻ…āĻ§ā§€āĻ¨ā§‡Â ã€ˆ1.3〉 Circle āĻšā§āĻ¯āĻžāĻĒā§āĻŸāĻžāĻ°ā§‡āĻ° āĻ…āĻ¨ā§āĻ¤āĻ°ā§āĻ—āĻ¤, āĻ¯āĻžÂ ã€ˆ1.3.a〉āĻšāĻŋāĻšā§āĻ¨ āĻĻāĻŋā§Ÿā§‡ āĻĒā§āĻ°āĻ•āĻžāĻļ āĻ•āĻ°āĻž āĻšā§Ÿā§‡āĻ›ā§‡] 〈1.3.a〉 āĻŦā§ƒāĻ¤ā§āĻ¤, āĻŦā§ƒāĻ¤ā§āĻ¤ā§‡āĻ° āĻ•ā§āĻˇā§‡āĻ¤ā§āĻ°āĻĢāĻ˛ āĻāĻŦāĻ‚ āĻ…āĻ¨ā§āĻ¯āĻžāĻ¨ā§āĻ¯ Introduction Circle āĻŦāĻž āĻŦā§ƒāĻ¤ā§āĻ¤ā§‡āĻ° āĻĒā§āĻ°āĻ¤āĻŋāĻŸāĻŋ āĻŦāĻŋāĻ¨ā§āĻĻā§ āĻāĻ•āĻŸāĻŋ āĻ¨āĻŋāĻ°ā§āĻĻāĻŋāĻˇā§āĻŸ āĻŦāĻŋāĻ¨ā§āĻĻā§ (āĻ•ā§‡āĻ¨ā§āĻĻā§āĻ° āĻŦāĻž center) āĻĨā§‡āĻ•ā§‡ āĻ¸āĻŽāĻžāĻ¨ āĻĻā§‚āĻ°āĻ¤ā§āĻŦ āĻ°ā§‡āĻ–ā§‡ āĻšāĻ˛ā§‡āĨ¤ āĻ¨ā§€āĻšā§‡āĻ° āĻ¯ā§‡ āĻ•ā§‹āĻ¨ āĻāĻ•āĻŸāĻŋ āĻœāĻžāĻ¨āĻ˛ā§‡āĻ‡ āĻŦā§ƒāĻ¤ā§āĻ¤ āĻ¸āĻŽā§āĻĒāĻ°ā§āĻ•ā§€ā§Ÿ āĻŦāĻžāĻ•ā§€ āĻ¤āĻĨā§āĻ¯āĻ—ā§āĻ˛ā§‹ āĻŦā§‡āĻ° āĻ•āĻ°ā§‡ āĻĢā§‡āĻ˛āĻž āĻ¯āĻžā§ŸāĨ¤ āĻ•) circumference, āĻĒāĻ°āĻŋāĻ§āĻŋ […]

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〈1.1〉(b) āĻŦāĻŋāĻ­āĻŋāĻ¨ā§āĻ¨ āĻ§āĻ°āĻŖā§‡āĻ° āĻ°ā§‡āĻ–āĻž, āĻĻā§‚āĻ°āĻ¤ā§āĻŦ āĻāĻŦāĻ‚ āĻ¤āĻžāĻĻā§‡āĻ° āĻ…āĻŦā§āĻ¯āĻ¨ā§āĻ¤āĻ°ā§€āĻŖ āĻ•ā§‹āĻŖ āĻ¸āĻŽā§‚āĻš

[Math Center Home] [āĻ¨ā§‹āĻŸāĻƒ āĻāĻ‡ āĻ†āĻ°ā§āĻŸāĻŋāĻ•ā§‡āĻ˛āĻŸāĻŋ (1) Geometry āĻŦāĻŋāĻ­āĻžāĻ—ā§‡āĻ°Â āĻ…āĻ§ā§€āĻ¨ā§‡ (1) Lines and Angels āĻšā§āĻ¯āĻžāĻĒā§āĻŸāĻžāĻ°ā§‡āĻ° āĻ…āĻ¨ā§āĻ¤āĻ°ā§āĻ—āĻ¤, āĻ¯āĻžÂ ã€ˆ1.1.b〉āĻšāĻŋāĻšā§āĻ¨ āĻĻāĻŋā§Ÿā§‡ āĻĒā§āĻ°āĻ•āĻžāĻļ āĻ•āĻ°āĻž āĻšā§Ÿā§‡āĻ›ā§‡] 〈1.1〉(b) āĻŦāĻŋāĻ­āĻŋāĻ¨ā§āĻ¨ āĻ§āĻ°āĻŖā§‡āĻ° āĻ°ā§‡āĻ–āĻž, āĻĻā§‚āĻ°āĻ¤ā§āĻŦ āĻāĻŦāĻ‚ āĻ¤āĻžāĻĻā§‡āĻ° āĻ…āĻŦā§āĻ¯āĻ¨ā§āĻ¤āĻ°ā§€āĻŖ āĻ•ā§‹āĻŖ āĻ¸āĻŽā§‚āĻš Lines and distance Lets discuss some interesting facts about Lines Perpendicular distance The word ‘distance’ always means ‘perpendicular distance’. āĻĻā§āĻ‡āĻŸāĻŋ āĻ¸āĻ°āĻ˛āĻ°ā§‡āĻ–āĻžāĻ° āĻŽāĻ§ā§āĻ¯ā§‡ āĻ…āĻ¸āĻ‚āĻ–ā§āĻ¯ āĻ¸āĻ‚āĻ¯ā§‹āĻœāĻ• āĻ°ā§‡āĻ–āĻž āĻŸāĻžāĻ¨āĻž […]

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〈1.1〉(a) āĻ•ā§‹āĻŖ āĻ¸āĻŽā§āĻĒāĻ°ā§āĻ•āĻŋāĻ¤ āĻĒā§āĻ°āĻžāĻĨāĻŽāĻŋāĻ• āĻ†āĻ˛ā§‹āĻšāĻ¨āĻž

[Math Center Home] [āĻ¨ā§‹āĻŸāĻƒ āĻāĻ‡ āĻ†āĻ°ā§āĻŸāĻŋāĻ•ā§‡āĻ˛āĻŸāĻŋ (1) Geometry āĻŦāĻŋāĻ­āĻžāĻ—ā§‡āĻ°Â āĻ…āĻ§ā§€āĻ¨ā§‡Â (1) Lines and Angels āĻšā§āĻ¯āĻžāĻĒā§āĻŸāĻžāĻ°ā§‡āĻ° āĻ…āĻ¨ā§āĻ¤āĻ°ā§āĻ—āĻ¤, āĻ¯āĻžÂ ã€ˆ1.1.a〉āĻšāĻŋāĻšā§āĻ¨ āĻĻāĻŋā§Ÿā§‡ āĻĒā§āĻ°āĻ•āĻžāĻļ āĻ•āĻ°āĻž āĻšā§Ÿā§‡āĻ›ā§‡] 〈1.1〉(a) āĻ•ā§‹āĻŖ āĻ¸āĻŽā§āĻĒāĻ°ā§āĻ•āĻŋāĻ¤ āĻĒā§āĻ°āĻžāĻĨāĻŽāĻŋāĻ• āĻ†āĻ˛ā§‹āĻšāĻ¨āĻž Angles Two lines (āĻ°ā§‡āĻ–āĻž) or line-segments (āĻ°ā§‡āĻ–āĻžāĻ‚āĻļ) are required to form an angle. An angle is represented by [latex]\angle [latex]  sign .[latex]\angle [latex][latex]ABC[latex] is an angle below. Circle A circle has [latex]360[latex]° […]

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Math 〈2.2〉 āĻŦāĻŋāĻ°āĻžāĻŸ āĻ•āĻžāĻšāĻŋāĻ˛ – āĻŦāĻŋāĻļāĻžāĻ˛ exponent āĻĻā§‡āĻ–ā§‡ āĻ•āĻžāĻšāĻŋāĻ˛ āĻšāĻŦā§‡āĻ¨ āĻ¨āĻž

[āĻŽā§āĻ¯āĻžāĻĨ āĻ¸ā§‡āĻ¨ā§āĻŸāĻžāĻ° āĻšā§‹āĻŽ āĻĒā§‡āĻ‡āĻœ] āĻĒā§āĻ°āĻĨāĻŽā§‡āĻ‡ āĻāĻ•āĻŸāĻž āĻ…āĻ‚āĻ• āĻĻā§‡āĻ–ā§āĻ¨: [latex]If\quad a={ 2 }^{ 3000 },\quad b={ 3 }^{ 2000 }\quad and\quad c={ 7 }^{ 1000 }\quad then\quad which\quad of\quad the\quad following\quad is\quad true?\quad \\ (A)\quad a\quad >\quad b\quad >\quad c\\ (B)\quad a\quad >\quad c\quad >\quad b\\ (C)\quad b\quad >\quad a\quad >\quad c\\ (D)\quad b\quad >\quad c\quad […]

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Math〈4.4a〉Alligation – clarifying confusion

The link to our Math Center is here: grecenter.org/math I already explained how to use alligation method for solving GRE-GMAT math problems in my Bangla video in Youtube. The video is once again embedded here: Which number to choose while multiplying fractions? This refers to the discussion at 9.01 minute where I chose a desired […]

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MATH{4.4}: Mixture, Rates, Speed, Alligation

Math Topic #4.4 Mixture, Rates, Speed, Alligation āĻŦā§‡āĻ¸āĻŋāĻ• āĻ§āĻžāĻ°āĻŖāĻž: āĻŽāĻŋāĻļā§āĻ°āĻŖ āĻ¤āĻ°āĻ˛ āĻšā§‹āĻ• āĻ…āĻĨāĻŦāĻž āĻ¨āĻž āĻšā§‹āĻ•, āĻāĻ•āĻžāĻ§āĻŋāĻ• āĻ˜āĻ¨āĻ¤ā§āĻŦā§‡āĻ° āĻ‰āĻĒāĻžāĻĻāĻžāĻ¨āĻ•ā§‡ āĻāĻ•āĻ¸āĻžāĻĨā§‡ āĻŽā§‡āĻļāĻžāĻ˛ā§‡ āĻ¨āĻ¤ā§āĻ¨ āĻ˜āĻ¨āĻ¤ā§āĻŦā§‡āĻ° āĻ•āĻŋāĻ›ā§ āĻāĻ•āĻŸāĻž āĻĒāĻžāĻ“ā§ŸāĻž āĻ¯āĻžā§ŸāĨ¤ āĻ†āĻĒāĻ¨āĻŋ āĻ‰āĻĻāĻžāĻšāĻ°āĻŖ āĻšāĻŋāĻ¸āĻžāĻŦā§‡ ā§¨% āĻĻā§āĻ§ā§‡āĻ° āĻ¸āĻžāĻĨā§‡ ā§Š% āĻĻā§āĻ§ āĻŽā§‡āĻļāĻžāĻ¨ā§‹, ā§§ā§Ŧ% āĻĒā§āĻ°ā§‹āĻŸāĻŋāĻ¨āĻ¯ā§āĻ•ā§āĻ¤ āĻ—ā§‹āĻ–āĻžāĻĻā§āĻ¯ā§‡āĻ° āĻ¸āĻžāĻĨā§‡ ā§¨ā§Ļ% āĻĒā§āĻ°ā§‹āĻŸāĻŋāĻ¨āĻ¯ā§āĻ•ā§āĻ¤ āĻ—ā§‹āĻ–āĻžāĻĻā§āĻ¯ āĻāĻŦāĻ‚ āĻ•āĻŋāĻ›ā§ āĻŸāĻžāĻ•āĻž āĻĻā§āĻ‡ āĻ­āĻžāĻ— āĻ•āĻ°ā§‡ ā§Ģ% āĻ¸ā§āĻĻ āĻ“ ā§­% āĻ¸ā§āĻĻā§‡āĻ° āĻĻā§āĻŸāĻŋ āĻ†āĻ˛āĻžāĻĻāĻž āĻŦā§āĻ¯āĻžāĻ‚āĻ•ā§‡ […]

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