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| author | hardythe1 | 2015-06-03 15:27:17 +0530 |
|---|---|---|
| committer | hardythe1 | 2015-06-03 15:27:17 +0530 |
| commit | df60071cf1d1c18822d34f943ab8f412a8946b69 (patch) | |
| tree | ab059cf19bad4a1233a464ccf5d72cf8b3fb323c /Quantitative_Aptitude_for_Competitive_Examinations/Chapter7.ipynb | |
| parent | fba055ce5aa0955e22bac2413c33493b10ae6532 (diff) | |
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diff --git a/Quantitative_Aptitude_for_Competitive_Examinations/Chapter7.ipynb b/Quantitative_Aptitude_for_Competitive_Examinations/Chapter7.ipynb new file mode 100755 index 00000000..ff247148 --- /dev/null +++ b/Quantitative_Aptitude_for_Competitive_Examinations/Chapter7.ipynb @@ -0,0 +1,993 @@ +{
+ "cells": [
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "#7: Ratio and Proportion"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "##Example number 7.1, Page number 7.3"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 1,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "result is 1.2\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "a=0.75;\n",
+ "b=5;\n",
+ "c=8;\n",
+ "\n",
+ "#Calculation\n",
+ "x=a*c/b;\n",
+ "\n",
+ "#Result\n",
+ "print \"result is\",x"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "##Example number 7.2, Page number 7.3"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 2,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "mean proportion is 0.08\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "a=0.32;\n",
+ "b=0.02;\n",
+ "\n",
+ "#Calculation\n",
+ "x2=a*b;\n",
+ "x=math.sqrt(a*b); #mean proportion\n",
+ "\n",
+ "#Result\n",
+ "print \"mean proportion is\",x"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "##Example number 7.3, Page number 7.3"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 4,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "third proportional is 36.0\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "a=16;\n",
+ "b=24;\n",
+ "\n",
+ "#Calculation\n",
+ "x=(b**2)/a; #third proportional\n",
+ "\n",
+ "#Result\n",
+ "print \"third proportional is\",x"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "##Example number 7.4, Page number 7.3"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 5,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "third proportional is 1.0\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "a=16;\n",
+ "b=4;\n",
+ "\n",
+ "#Calculation\n",
+ "x=(b**2)/a; #third proportional\n",
+ "\n",
+ "#Result\n",
+ "print \"third proportional is\",x"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "##Example number 7.5, Page number 7.3"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 8,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "part is 3/4\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "from fractions import Fraction\n",
+ "\n",
+ "#Variable declaration\n",
+ "a=3/48;\n",
+ "b=1/12;\n",
+ "\n",
+ "#Calculation\n",
+ "p=a/b; #part\n",
+ "\n",
+ "#Result\n",
+ "print \"part is\",Fraction(p)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "##Example number 7.6, Page number 7.3"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 11,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "part is 7/8\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "from fractions import Fraction\n",
+ "\n",
+ "#Variable declaration\n",
+ "a=7;\n",
+ "b=8;\n",
+ "\n",
+ "#Calculation\n",
+ "p=a/b; #part\n",
+ "\n",
+ "#Result\n",
+ "print \"part is\",Fraction(p)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "##Example number 7.7, Page number 7.4"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 12,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "number of girls is 360.0\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "a=4/3; #ratio of number of boys and girls\n",
+ "b=480; #number of boys\n",
+ "\n",
+ "#Calculation\n",
+ "x=b/a; #number of girls\n",
+ "\n",
+ "#Result\n",
+ "print \"number of girls is\",x"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "##Example number 7.8, Page number 7.4"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 13,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "first part is 32.0 Rs\n",
+ "second part is 40.0 Rs\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "a=4; #first ratio term\n",
+ "b=5; #second ratio term\n",
+ "c=72; #total amount(Rs)\n",
+ "\n",
+ "#Calculation\n",
+ "fp=a*c/(a+b); #first part(Rs)\n",
+ "sp=b*c/(a+b); #second part(Rs)\n",
+ "\n",
+ "#Result\n",
+ "print \"first part is\",fp,\"Rs\"\n",
+ "print \"second part is\",sp,\"Rs\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "##Example number 7.9, Page number 7.4"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 14,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "number of girls is 250.0\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "a=2; #first ratio term\n",
+ "b=5; #second ratio term\n",
+ "c=350; #number of students\n",
+ "\n",
+ "#Calculation\n",
+ "x=b*c/(a+b); #number of girls\n",
+ "\n",
+ "#Result\n",
+ "print \"number of girls is\",x"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "##Example number 7.10, Page number 7.4"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 15,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "the numbers are 30.0 and 70.0\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "a=3; #first ratio term\n",
+ "b=7; #second ratio term\n",
+ "lcm=210; #lcm of two numbers\n",
+ "\n",
+ "#Calculation\n",
+ "x=lcm/(a*b); #factor\n",
+ "n1=a*x; #first number\n",
+ "n2=b*x; #second number\n",
+ "\n",
+ "#Result\n",
+ "print \"the numbers are\",n1,\"and\",n2"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "##Example number 7.11, Page number 7.4"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 16,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "consequent is 77.0\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "a=3; #first ratio term\n",
+ "b=7; #second ratio term\n",
+ "c=33; #antecedent\n",
+ "\n",
+ "#Calculation\n",
+ "x=b*c/a; #consequent\n",
+ "\n",
+ "#Result\n",
+ "print \"consequent is\",x"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "##Example number 7.12, Page number 7.4"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 17,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "the numbers are 12.0 and 20.0\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "aold=3; #first ratio term\n",
+ "bold=5; #second ratio term\n",
+ "c=4; #increment\n",
+ "anew=2; #first term of new ratio\n",
+ "bnew=3; #second term of new ratio\n",
+ "\n",
+ "#Calculation\n",
+ "Nr=(aold*c)-(anew*c);\n",
+ "Dr=(bold*anew)-(aold*bnew);\n",
+ "x=Nr/Dr; #factor\n",
+ "n1=x*aold;\n",
+ "n2=x*bold; \n",
+ "\n",
+ "#Result\n",
+ "print \"the numbers are\",n1,\"and\",n2"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "##Example number 7.13, Page number 7.4"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 18,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "the numbers are 24.0 and 26.0\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "aold=12; #first ratio term\n",
+ "bold=13; #second ratio term\n",
+ "c=20; #decrement\n",
+ "anew=2; #first term of new ratio\n",
+ "bnew=3; #second term of new ratio\n",
+ "\n",
+ "#Calculation\n",
+ "Nr=(bnew*c)-(anew*c);\n",
+ "Dr=(bnew*aold)-(anew*bold);\n",
+ "x=Nr/Dr; #factor\n",
+ "n1=x*aold;\n",
+ "n2=x*bold; \n",
+ "\n",
+ "#Result\n",
+ "print \"the numbers are\",n1,\"and\",n2"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "##Example number 7.14, Page number 7.4"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 20,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "decrement is 0.33\n",
+ "answer given in the book is wrong\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "aold=3; #first ratio term\n",
+ "bold=7; #second ratio term\n",
+ "anew=2; #first term of new ratio\n",
+ "bnew=5; #second term of new ratio\n",
+ "\n",
+ "#Calculation\n",
+ "Nr=(aold*bnew)-(anew*bold);\n",
+ "Dr=bnew-anew;\n",
+ "x=Nr/Dr; #decrement\n",
+ "\n",
+ "#Result\n",
+ "print \"decrement is\",round(x,2)\n",
+ "print \"answer given in the book is wrong\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "##Example number 7.15, Page number 7.5"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 21,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "number of people originally present is 12.0\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "aold=1; #first ratio term\n",
+ "bold=2; #second ratio term\n",
+ "anew=1; #first term of new ratio\n",
+ "bnew=3; #second term of new ratio\n",
+ "g=2; #number of gents left\n",
+ "l=2; #number of ladies left\n",
+ "\n",
+ "#Calculation\n",
+ "Nr=(g*bnew)-(anew*l);\n",
+ "Dr=bnew-(anew*l);\n",
+ "x=Nr/Dr; #factor\n",
+ "n=x*(aold+bold); #number of people originally present\n",
+ "\n",
+ "#Result\n",
+ "print \"number of people originally present is\",n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "##Example number 7.16, Page number 7.5"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 22,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "number of each type of coin is 20.0 coins\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "c1=1; #coin value 1 rupee\n",
+ "c2=0.5; #coin value 50 paise\n",
+ "c3=0.25; #coin value 25 paise\n",
+ "t=35; #total amount(Rs)\n",
+ "\n",
+ "#Calculation\n",
+ "n=t/(c1+c2+c3); #number of each type of coin(coins)\n",
+ "\n",
+ "#Result\n",
+ "print \"number of each type of coin is\",n,\"coins\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "##Example number 7.17, Page number 7.5"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 25,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "fraction of same ratio is 0.183673469388\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "a=3/7;\n",
+ "b=1/5;\n",
+ "c=7/15;\n",
+ "\n",
+ "#Calculation\n",
+ "x=a*b/c; #fraction of same ratio\n",
+ "\n",
+ "#Result\n",
+ "print \"fraction of same ratio is\",x"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "##Example number 7.18, Page number 7.5"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 26,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "present age of C is 42.0 years\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "s=90; #sum of ages of A, B, C(years)\n",
+ "n=6; #number of years ago\n",
+ "a=1; #ratio term for age of A\n",
+ "b=2; #ratio term for age of B\n",
+ "c=3; #ratio term for age of C\n",
+ "\n",
+ "#Calculation\n",
+ "age=s-(n*c); #sum of ages of A, B, C 6 years ago(years)\n",
+ "C=c*age/(a+b+c); #age of C 6 years ago(years)\n",
+ "Cp=C+a+b+c; #present age of C(years)\n",
+ "\n",
+ "#Result\n",
+ "print \"present age of C is\",Cp,\"years\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "##Example number 7.19, Page number 7.5"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 27,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "second number is 12.0\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "s=532; #sum of squares of 3 numbers\n",
+ "a=3; #first term of ratio\n",
+ "b=2; #second term of ratio\n",
+ "\n",
+ "#Calculation\n",
+ "n1=a*a; #first number\n",
+ "n2=a*b; #second number\n",
+ "n3=b*b; #third number\n",
+ "x2=s/((n1**2)+(n2**2)+(n3**2));\n",
+ "x=math.sqrt(x2); #factor\n",
+ "N2=n2*x; #second number\n",
+ "\n",
+ "#Result\n",
+ "print \"second number is\",N2"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "##Example number 7.20, Page number 7.6"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 28,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "weight of wire is 188.0 kg\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "l1=60; #length of wire(m)\n",
+ "w1=80; #weight of wire(kg)\n",
+ "l2=141; #length of another wire(m)\n",
+ "\n",
+ "#Calculation\n",
+ "x=w1*l2/l1; #weight of wire(kg)\n",
+ "\n",
+ "#Result\n",
+ "print \"weight of wire is\",x,\"kg\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "##Example number 7.21, Page number 7.6"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 30,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "value of a/bc : b/ca is 4\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "bc=1; #first term of ratio\n",
+ "ac=2; #second term of ratio\n",
+ "ab=3; #third term of ratio\n",
+ "\n",
+ "#Calculation\n",
+ "#abyb=ac/bc\n",
+ "a=ac;\n",
+ "b=bc;\n",
+ "result=(a**2)/(b**2); #value of a/bc : b/ca\n",
+ "\n",
+ "#Result\n",
+ "print \"value of a/bc : b/ca is\",int(result)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "##Example number 7.23, Page number 7.6"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 31,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "number of 1 rupee coins is 5.0\n",
+ "number of 50 paise coins is 15.0\n",
+ "number of 25 paise coins is 25.0\n",
+ "number of 10 paise coins is 35.0\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "v1=1; #one rupee coin\n",
+ "v2=1/2; #50 paise coin\n",
+ "v3=1/4; #25 paise coin\n",
+ "v4=1/10; #10 paise coin\n",
+ "n1=1; #number of 1 rupee coins\n",
+ "n2=3; #number of 50 paise coins\n",
+ "n3=5; #number of 25 paise coins\n",
+ "n4=7; #number of 10 paise coins\n",
+ "s=22.25; #total amount(Rs)\n",
+ "\n",
+ "#Calculation\n",
+ "a=(v1*n1)+(v2*n2)+(v3*n3)+(v4*n4);\n",
+ "x=s/a; #factor\n",
+ "N1=x*n1; #number of 1 rupee coins\n",
+ "N2=x*n2; #number of 50 paise coins\n",
+ "N3=x*n3; #number of 25 paise coins\n",
+ "N4=x*n4; #number of 10 paise coins\n",
+ "\n",
+ "#Result\n",
+ "print \"number of 1 rupee coins is\",N1\n",
+ "print \"number of 50 paise coins is\",N2\n",
+ "print \"number of 25 paise coins is\",N3\n",
+ "print \"number of 10 paise coins is\",N4"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "##Example number 7.24, Page number 7.7"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 33,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "the person should have atleast 57.0 pens\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "from fractions import gcd\n",
+ "\n",
+ "#Variable declaration\n",
+ "a=1/3;\n",
+ "b=1/4;\n",
+ "c=1/5;\n",
+ "d=1/6;\n",
+ "\n",
+ "#Calculation\n",
+ "l1=(1/a)*(1/b)/gcd(1/a,1/b);\n",
+ "l2=(1/c)*(1/d)/gcd(1/c,1/d);\n",
+ "l=l1*l2/gcd(l1,l2); #lcm of 3,4,5,6\n",
+ "A=a*l;\n",
+ "B=b*l;\n",
+ "C=c*l;\n",
+ "D=d*l;\n",
+ "p=A+B+C+D;\n",
+ "\n",
+ "#Result\n",
+ "print \"the person should have atleast\",p,\"pens\""
+ ]
+ }
+ ],
+ "metadata": {
+ "kernelspec": {
+ "display_name": "Python 2",
+ "language": "python",
+ "name": "python2"
+ },
+ "language_info": {
+ "codemirror_mode": {
+ "name": "ipython",
+ "version": 2
+ },
+ "file_extension": ".py",
+ "mimetype": "text/x-python",
+ "name": "python",
+ "nbconvert_exporter": "python",
+ "pygments_lexer": "ipython2",
+ "version": "2.7.9"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 0
+}
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