Ncert solutionsGrade 6MathematicsChapters in NCERT SOLUTIONS - MATHEMATICS, Class 6Exercises in Ratio and ProportionQuestion 15Q1) Determine if the following are in proportion.(a) 15, 45, 40, 120 (b) 33, 121, 9,96 (C) 24, 28, 36, 48(d) 32, 48, 70, 210 (e) 4, 6, 8, 12 (f) 33, 44, 75, 100SOLUTION:i) 15,45,40,120we have 15,45,40,120ratio of 15 to 45=\FRAC{15}{45}=\frac{15\div15}{45\div15}=\frac{1}{3}=1:3 4515 = 45÷1515÷15 = 31 =1:3[HCF OF 40 and 15, 45 is 15]ratio of 40 to 120=\frac{40}{120}=\frac{40\div40}{120\div40}=\frac{1}{3}=1:3 12040 = 120÷4040÷40 = 31 =1:3[HCF of 40 and 120 is 40]here, 15:4=40:120=1:3ii) 33, 121,9,96we have 33,121,9,96ratio of 33 to121 = \frac{33}{121}=\frac{33\div11}{121\div11}=\frac{3}{11} 12133 = 121÷1133÷11 = 113 ratio of 9 and 96= \frac{9}{96}=\frac{9\div3}{96\div3}=\frac{3}{32} 969 = 96÷39÷3 = 323 [HCF of 9 and 96 is 3]here, 3:11\ne3:323:11  =3:32i.e\ 33:121\ne9:96i.e 33:121  =9:96therefore, 31,121,9 and 96 are not in proportion.iii) 24,28,36,48ratio of 24 and 28 is \frac{24}{28}=\frac{24\div4}{28\div4}=\frac{6}{7}=6:7 2824 = 28÷424÷4 = 76 =6:7[HCF of 36 and 48 is 12] HOPE IT HELP YOU