Question 12 Marks
Do the ratios 2 kg : 80 kg and 25 g : 625 g form a proportion?
Answer2 kg : 80 kg :: 25 g : 625 g
2 : 80 :: 25 : 625
1 : 40 :: 1 : 25
No, they do not form a proportion.
View full question & answer→Question 22 Marks
The ratio between 7 and 5 is same as the ratio between ₹ x and ₹ 20.50; find the value of x.
AnswerSince, It is given that the ratio between 7 and 5 is same as the ratio between ₹x and text ₹20.50
$\therefore 7: 5=x: 20.50$
$\Rightarrow 5 x=7 \times 20.50$
$\Rightarrow x=\frac{7 \times 20.50}{5}$
$\Rightarrow x=28.7$
View full question & answer→Question 32 Marks
Find the mean proportion between $0.06$ and $0.96$
AnswerMean proportional between $0.6$ and $9.6$
$=\sqrt{0.6 \times 9.6}=\sqrt{\frac{6}{10} \times \frac{96}{10}} $
$=\sqrt{\frac{576}{100}}=\frac{24}{10}=2.4$
View full question & answer→Question 42 Marks
Find the fourth term of the proportion whose first, second, and third terms are $18, 27,$ and $32$ respectively.
AnswerLet the fourth term $=x$
$18: 27:: 32: x $
$\Rightarrow 18 \times x=27 \times 32$
$\Rightarrow x=\frac{27 \times 32}{18}=3 \times 16=48$
Fourth term $=48$
View full question & answer→Question 52 Marks
Find the second term of the proportion whose first, third, and fourth terms are $9, 8,$ and $24$ respectively.
AnswerLet the second term $=x$
$9: x:: 8: 24 $
$\Rightarrow x \times 8=24 \times 9 $
$x=\frac{24 \times 9}{8}=3 \times 9=27$
The second term of proportion $=27$
View full question & answer→Question 62 Marks
Find the value of x so that the given four numbers are in proportion:
$6, 8, 12$ and $x$
Answer$6: 8: 12: x $
$\Rightarrow 6 \times x=12 \times 8 $
$\Rightarrow x=\frac{12 \times 8}{6}=16 .$
View full question & answer→Question 72 Marks
Find the value of x so that the given four numbers are in proportion:
$7, 21, x$ and $45$
Answer$7: 12: x: 45 $
$\Rightarrow 21 \times x=7 \times 45 $
$\Rightarrow x=\frac{7 \times 45}{21}=\frac{45}{3}=15$
View full question & answer→Question 82 Marks
Find the value of x so that the given four numbers are in proportion:
$4, 10, 36v and $x$
Answer$4: 10: 36: x$
$\Rightarrow 4 \times x=10 \times 36$
$\Rightarrow x=\frac{10 \times 36}{4}=90$
View full question & answer→Question 92 Marks
Find the value of x so that the given four numbers are in proportion:
$9, 12, x$ and $8$
Answer$9: 12: x: 8$
$\Rightarrow 12 \times x=9 \times 8 $
$\Rightarrow x=\frac{9 \times 8}{12}=6 .$
View full question & answer→Question 102 Marks
Find the value of x so that the given four numbers are in proportion:
$4, x, 6$ and $18$
Answer$4: x: 6: 18$
$\Rightarrow x \times 6=18 \times 4$
$\Rightarrow x=\frac{18 \times 4}{6}=12$
View full question & answer→Question 112 Marks
Find the value of x so that the given four numbers are in proportion:
$2, x, 10$ and $25$
Answer$2: x: 10: 25$
$\Rightarrow x \times 10=2 \times 25$
$\Rightarrow x=\frac{2 \times 25}{10}=\frac{25}{5}=5 .$
View full question & answer→Question 122 Marks
Find the value of x so that the given four numbers are in proportion:
$x, 4, 15$ and $30$
Answer$x: 4: 15: 30$
$\Rightarrow x \times 30=4 \times 15 $
$\Rightarrow x=\frac{4 \times 15}{30}=2 .$
View full question & answer→Question 132 Marks
Find the value of x so that the given four numbers are in proportion:
$x, 6, 10$ and $15$
Answer$x: 6: 10: 15$
$\Rightarrow x \times 15=6 \times 10$
$\Rightarrow x=\frac{6 \times 10}{15}=4 .$
View full question & answer→Question 142 Marks
Find the value of x of the following proportion:
$16 : 24 = 6 : x$
Answer$16: 24=6: x$
$\Rightarrow 16 \times x=24 \times 6$
$\Rightarrow x=\frac{24 \times 6}{16}=9$
View full question & answer→Question 152 Marks
Find the value of x of the following proportion:
$5 : 15 = 4 : x$
Answer$5: 15=4: x $
$\Rightarrow 5 \times x=15 \times 4 $
$\Rightarrow x=\frac{15 \times 4}{5}=12$
View full question & answer→Question 162 Marks
Find the value of x of the following proportion:
$8 : 10 = x : 25$
Answer$8: 10=x: 25 $
$\Rightarrow 10 \times x=25 \times 8 $
$\Rightarrow x=\frac{25 \times 8}{10}=20$
View full question & answer→Question 172 Marks
Find the value of x of the following proportion:
$4 : 6 = x : 18$
Answer$4: 6=x: 18$
$\Rightarrow 6 \times x=4 \times 18 $
$\Rightarrow x=\frac{4 \times 18}{6}=12$
View full question & answer→Question 182 Marks
Find the value of x of the following proportion:
$14 : x = 7 : 9$
Answer$14: x=7: 9$
$\Rightarrow x \times 7=14 \times 9$
$\Rightarrow x=\frac{14 \times 9}{7}=18$
View full question & answer→Question 192 Marks
Find the value of x of the following proportion:
$x : 4 = 6 : 8$
Answer$x: 4=6: 8$
$\Rightarrow x \times 8=4 \times 6$
$\Rightarrow x=\frac{4 \times 6}{8}=3$
View full question & answer→Question 202 Marks
In the following, check whether or not the given ratios form a proportion: $\frac{7}{8}$ and $14: 16$
Answer$\frac{7}{8}$ and $14: 16$
Since $\frac{7}{8}=\frac{7}{8}$ and $14: 16=\frac{14}{16}=\frac{7}{8}$
$\therefore$ Ratio $\frac{7}{8}$ and $14: 16$ are equal, so they form a proportion.
View full question & answer→Question 212 Marks
In the following, check whether or not the given ratios form a proportion:
$
\frac{15}{18} \text { and } \frac{10}{12}
$
Answer$\frac{15}{18}$ and $\frac{10}{12}$
Since $\frac{15}{18}=\frac{5}{6}$ and $\frac{10}{12}=\frac{5}{6}$
$\therefore$ Ratio $\frac{15}{18}$ and $\frac{10}{12}$ are equal, so they form a proportion.
View full question & answer→Question 222 Marks
In the following, check whether or not the given ratios form a proportion:
25 : 40 and 20 : 32
Answer$25: 40$ and $20: 32$
Since $25: 40=\frac{25}{40}=\frac{5}{8}$
and $20: 32=\frac{20}{32}=\frac{5}{8}$
$\therefore$ Ratio $25: 40$ and $20: 32$ are equal, so they form a proportion.
View full question & answer→Question 232 Marks
In the following, check whether or not the given ratios form a proportion:
12 ÷ 3 and 8 ÷ 2
Answer$12 \div 3$ and $8 \div 2$
Since $\frac{12}{3}=4$ and $\frac{8}{2}=4$
$\therefore$ Ratio $12 \div 3$ and $8 \div 2$ are equal, so they form a proportion.
View full question & answer→Question 242 Marks
In the following, check whether or not the given ratios form a proportion:
16 : 28 and 24 : 42
Answer$
16: 28 \text { and } 24: 42
$
Since $16: 28=\frac{16}{28}=\frac{4}{7}$
and $24: 42=\frac{24}{42}=\frac{4}{7}$
$\therefore$ Ratio $16: 28$ and $24: 42$ are equal, so they form a proportion.
View full question & answer→Question 252 Marks
In a class, one out of every 5 students pass. If there are 225 students in all the sections of a class, find how many pass?
AnswerTotal number of students in all sections $=225$
Given, one of every five students pass
Total students pass $=225 \times \frac{1}{5}=45$ studetns
View full question & answer→Question 262 Marks
In the following, check whether or not the given ratios form a proportion:
8 : 16 and 12 : 15
Answer$8: 16$ and $12: 15$
Since $8: 6=\frac{8}{16}=\frac{1}{2}$
and $12: 15=\frac{12}{15}=\frac{4}{5}$
$\therefore$ Ratio $8: 16 \neq$ ratio $12: 15$, they are not in a proportion.
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