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ല.സാ.ഗു. (LCM), ഉ. സാ. ഘ. (HCF)
*രണ്ടോ അതിലധികമോ സംഖ്യകളുടെ ഏറ്റവും ചെറിയ പൊതുഗുണിതമാണ് അവയുടെ ലസാഗു (ലഘുതമ സാധാരണ ഗുണിതം) ഉദാ:
*3, 4, 5 ഇവ കൊണ്ട് നിശ്ശേഷം ഹരിക്കാവുന്ന ഏറ്റവും ചെറിയ സംഖ..................
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സംഖ്യാശ്രേണി:
*തന്നിരിക്കുന്ന സംഖ്യകൾ ഏത് ശ്രേണിയിൽ ആണ് അടുക്കിയിരിക്കുന്നതെന്ന് അവയെ സൂക്ഷ്മമായി നിരീക്ഷിക്കുന്നതിലൂടെ മനസ്സിലാക്കാവുന്നതാണ്. ഉദാ: 1) 6, 8, 12, 7, 18, 6, __ ഈ ശ്ര..................
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സർവ്വ സമവാക്യങ്ങൾ (Identities) സൂത്രവാക്യങ്ങൾ
1.(ab)^2 = a^2 b^2 2ab
2.(a-b)^2 = a^2b^2 - 2ab
3.(ab)^2-(a-b)^2 = 4ab
4.(ab)^2(a-b)^2 = 2 (a^2b^2)
5.a^2 - b^2 = (ab) (ab)
6.a^2 b^2 = ½[(ab)^2(a-b)^2]
7.1/a 1/b = ab/ab
8.(ab)^3 = a^3 - 3a^2b3ab^2 b^3
9.(a-b)^3 = a^3 - 3a^2b3ab^2 - b^3
10.(ab)^3(..................
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ല . സാ.ഗു രണ്ടോ അതിലധികമോ സംഖ്യകളുടെ ഏറ്റവും ചെറിയ പൊതു ഗുണിതമാണ് അവയുടെ ലസാഗു, (ലഘുതമ സാധാരണ ഗുണിതം) ഉ . സാ . ഘ രണ്ടോ അതിലധികമോ സംഖ്യകളുടെ ഏറ്റവും വലിയ പൊതു ഘടകമാണ..................
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2 മുതൽ 10 വരെയുള്ള സംഖ്യയുടെ എളുപ്പരീതിയിലുള്ള ഹരണം ഒരു സംഖ്യയുടെ അവസാനത്തെ രണ്ട് അക്കം 0,2,4,6,8 ഇവ വന്നാൽ ആ സംഖ്യയെ 2 കൊണ്ട് നിശ്ശേഷം ഹരിക്കാം.
*ഒരു സംഖ്യയുടെ അക്കങ്ങളുടെ തുക ..................
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പ്രായം
* അച്ഛന്റെ/അമ്മയുടെ വയസ്സ് y വർഷം മുമ്പ് മകന്റെ/മകളുടെ വയസ്സിന്റെ t1 ഇരട്ടിയായിരുന്നു. ഇപ്പോൾ 12 ഇരട്ടി ആയാൽ മകന്റെ/മകളുടെ ഇപ്പോഴത്തെ വയസ്സ് [y(t1-1)]/[t1-t2] ആയിരിക്കു................
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ട്രെയിൻ വേഗം = ദൂരം /സമയം സമയം = ദൂരം / വേഗം
*km/hr നെ m/s ലേക്ക് മാറ്റാൻ 5/18 കൊണ്ട് ഗുണിക്കുക.
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സമയവും ദൂരവും (Time & Distance ) ഒരു വസ്തതു ഒരു യൂണിറ്റ് സമയത്തിൽ സഞ്ചരിക്കുന്ന ദൂരത്തെയാണ് വേഗത എന്നു പറയുന്നത്.
*ഒരു കാർ 1 മണിക്കുറിൽ 22 കിലോമീറ്റർ ദൂരം സഞ്ച രിക്കുന്നുവെങ്കിൽ ആ കാറ................
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കലണ്ടർ
* ഒരു മാസത്തിലെ ഏതെങ്കിലും തിയ്യതിയോടു 7 കൂട്ടുകയോ കുറയ്ക്കുകയോ ചെയ്താൽ അതെ ദിവസം തന്നെ കിട്ടും ഉദാ: മാർച്ച് 1 തിങ്കൾ ആണെങ്കിൽ മാർച്ച് 8, 15,
22. 29 എന്നീ തീയതികൾ ................
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ക്ലോക്ക് 1.ഒരു ക്ലോക്കിലെ മണിക്കൂർ സൂചി ഒരു മണിക്കുറിൽ എത്ര ഡിഗ്രി തിരിയും? (a)60 (b)5° (c)30° (d)15° ക്ലോക്കിന്റെ ഡയൽ ഒരു വൃത്തമാണ്. വൃത്തത്തിന്റെ ഡിഗ്രി അളവ് 360° ആണ്. ക്................
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പലിശ സാധാരണ പലിശ കണക്കാക്കുന്നതിനുള്ള സൂത്രവാക്ക്യം I = PNR ഇവിടെ 'I' പലിശയെയും 'P' മുതലിനെയും 'N' വർഷത്തെയും 'R' പലിശ നിരക്കിനെയും കാണിക്കുന്നു. ശതമാനത്തിൽ തന്നിരിക്കുന്ന നിരക്കിനെ /100 ചേർ................
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കൃത്യങ്കങ്ങൾ am x an = amn a-n = 1/an (am)n = amn am/an = am-n am = an m=n (a\b)n = an/bn a0 = 1, a ≠ 0 ഉദാ: 1) (32)3/5 x (64)-1/6 x (8)-1/3 എത്ര? (LDC Kottayam 2014) a) 8 b) 1 c) 16 d) 2 (32)3/5 = [(32)1/5]3 = 23 = 8 (64)-1/6 = [(64)1/6]-1 = 2-1 (8)-1/3 = [(8)1/3]-1 = 2-1 (32)3/5 x (64)-1/6 x (8)-1/3 = 8................
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