Question 11 Mark
Fill in the box with the correct symbol out of $>, <$, and =, $0 \;\; \square \frac{-7}{6}$
AnswerHere,
We have,
$0$ and $\frac{-7}{6}$
As you know, that Zero is greater than any negative rational number.
Hence,
$0 > \frac{-7}{6}$
View full question & answer→Question 21 Mark
Fill in the box with the correct symbol out of $>, <$, and = $\frac{5}{-11} \square \frac{-5}{11}$
AnswerWe have,
$\frac{-5}{11} \text { and } \frac{5}{-11}$
Now, the two fractions already have like denominators, so we just need to check which is the fraction in which the numerator is larger.
Note: The fraction is considered negative if it has a negative sign either in numerator or in denominator.
$-5$ is equal to $-5$
Hence,
$\frac{-5}{11}=\frac{5}{-11}$
View full question & answer→Question 31 Mark
Fill in the box with the correct symbol out of $>, <$, and = $\frac{1}{-3} \square \frac{-1}{4}$
AnswerAccording to the given information we have numbers $\frac{1}{-3}$ and $\frac{-1}{4}$
Since both the given numbers are negative
Now ignoring the sign, we get
$\frac{1}{3}$ and $\frac{1}{4}$
Now we have to compare the numbers but since the denominator of both the numbers is different so we have to make the same denominator
To find the common denominator for both of the numbers let's find the $L.C.M$ of $3$ and $4$
| $3$ |
$3, 4$ |
| $4$ |
$1, 4$ |
| |
$1, 1$ |
So. the $L.C.M$ of $3.4 = 3 \times 4$
$L.C.M$ of $3,4 = 12$
Now multiplying and dividing $R.H.S$ by $3$ and $L.H.S$ by $4$ we get
$\mathrm{L.H.S}=\frac{1}{3} \times \frac{4}{4}=\frac{4}{12}$
$\mathrm{R.H.S}=\frac{1}{4} \times \frac{3}{3}=\frac{3}{12}$
Multiplying both the numbers by $-1$ we get
$\frac{4}{-12}$ and $\frac{-3}{12}$
Now comparing the numbers, we can conclude that
$\frac{4}{-12}<\frac{-3}{12}$
Here denominator is same so we compare only numerator, on the number line if we go to the negative direction as magnitude increases number becomes small, Hence
It can also be written as $ \frac{1}{-3}<\frac{-1}{4}$
Therefore, the symbol which should be filled in the given problem is" $<.$ View full question & answer→Question 41 Mark
Fill in the box with the correct symbol out of $>, <$, and = ,$\frac{-8}{5} \square \frac{-7}{4}$
AnswerWe have,
$\frac{-8}{5} \text { and } \frac{-7}{4}$
Writing the fractions in the form of like denominators we get,
$\frac{-8}{5} \text { and } \frac{-7}{4}$
And, $\frac{-7}{4}=\frac{-7 \times 5}{4 \times 5}=\frac{-35}{20}$
Since,
$-32$ is greater than $-35$
Hence,
$\frac{-8}{5}>\frac{-7}{4}$
View full question & answer→Question 51 Mark
Fill in the box with the correct symbol out of $>, <$, and = $\frac{-7}{8} \square \frac{14}{-16}$
AnswerWe have,
$\frac{-14}{16} \text { and } \frac{-7}{8}$
Writing the fractions in the form of like denominators we get,
And, $\frac{-14}{16}$
$\frac{-7}{8}=\frac{-7 \times 2}{8 \times 2}$
Since,
$-14$ is equal to $-14$
Hence,
$\frac{-7}{8}=\frac{14}{-16}$
View full question & answer→Question 61 Mark
Fill in the box with the correct symbol out of $>, <$, and = $\frac{-4}{5} \square \frac{-5}{7}$
AnswerWe have,
$-\frac{5}{7} \text { and } \frac{-4}{5}$
Writing the fractions in the form of like denominators we get,
$\frac{-5}{7}=\frac{-5 \times 5}{7 \times 5}=\frac{-25}{35}$
And,
$\frac{-4}{5}=\frac{-4 \times 7}{5 \times 7}=\frac{-28}{35}$
Since,
$-25$ is greater than $-28$
Hence,
$\frac{-4}{5}<\frac{-5}{7}$
View full question & answer→Question 71 Mark
Fill in the box with the correct symbol out of $>, <$, and = $\frac{-5}{7} \square \frac{2}{3}$
AnswerWe have,
$-\frac{5}{7} \text { and } \frac{2}{3}$
Writing the fractions in the form of like denominators we get,
$-\frac{5}{7} \text { and } \frac{2}{3}$
And, $\frac{2}{3}=\frac{2 \times 7}{3 \times 7}=\frac{14}{21}$
Since,
$14$ is greater than $-15$
Hence,
$\frac{-5}{7}<\frac{2}{3}$
View full question & answer→Question 81 Mark
$0.2 \%=$.............. $\left(\frac{2}{10}, \frac{2}{100}, \frac{2}{1000}\right)$
View full question & answer→Question 91 Mark
$\frac{75}{90}$ and............are equal ratios. $(6:5, 5:6, 5:9)$
View full question & answer→Question 101 Mark
$2:7$ and...........are equal ratios. $(7:2, 10:35, 35:10)$
Answer$0.44097222222222227$
View full question & answer→Question 111 Mark
$15 \%$ of $240=............ (120, 60, 36)$
View full question & answer→Question 121 Mark
$5 \%$ of............$=60. (1200, 120, 12)$
View full question & answer→Question 131 Mark
$15 \%$ of $400=............. (30, 15, 60)$
View full question & answer→Question 141 Mark
$............\%$ of a circle is removed, if its $\frac{1}{8}$ th part is removed. $(40, 80, 12.5)$
View full question & answer→Question 151 Mark
If $9$ toys cost $₹45$, then cost of$6$ toys is $₹........... (25, 30, 54)$
View full question & answer→Question 161 Mark
Ratio of $4$ days and $36$ hours is............ $( 3:8 , 8:3$, not possible)
View full question & answer→Question 171 Mark
Ratio of $20$ paise and $25$ metres is........... $( 1:2 , 2:1$, not possible)
View full question & answer→Question 181 Mark
$20:25$ means........... $\left(\frac{5}{4}, \frac{4}{5}, \frac{9}{5}\right)$
View full question & answer→Question 191 Mark
If $x: 5 : 12::20$, then $x =............ (10, 6, 3)$
View full question & answer→Question 201 Mark
None of the measures should be...........for the ratio. $(0, 1, 1000)$
View full question & answer→Question 211 Mark
$1.5$ means............ $\%. (50, 100, 150)$
View full question & answer→Question 221 Mark
Simple interest of $₹1000$ at $15\%$ for years is $₹300. (2, 3, 4)$
View full question & answer→Question 231 Mark
Simple interest of $₹800$ at...........$\%$ for $3$ years is $₹288. (12, 15, 18)$
View full question & answer→Question 241 Mark
Simple interest of $₹500$ at $15 \%$ for $2$ years is $₹........... (10, 30, 150)$
View full question & answer→Question 251 Mark
An item costs $₹70$. If $20\%$ of its price is increased, then its cost is $............ (140, 84, 90)$
View full question & answer→Question 261 Mark
If cost of an item is increased from $₹40$ to $₹50............$. then percentage of price is increased. $(10, 20, 25)$
View full question & answer→Question 271 Mark
$12=20 \%$ of $........... (24, 60, 240)$
View full question & answer→Question 281 Mark
$0.2 \%=$.............. $\left(\frac{2}{10}, \frac{2}{100}, \frac{2}{1000}\right)$
View full question & answer→Question 291 Mark
$\frac{75}{90}$ and............are equal ratios. $(6:5, 5:6, 5:9)$
View full question & answer→Question 301 Mark
$2:7$ and...........are equal ratios. $(7:2, 10:35, 35:10)$
Answer$0.44097222222222227$
View full question & answer→Question 311 Mark
$15 \%$ of $240=............ (120, 60, 36)$
View full question & answer→Question 321 Mark
$5 \%$ of $...........=60. (1200, 120, 12)$
View full question & answer→Question 331 Mark
$15 \%$ of $400=............. (30, 15, 60)$
View full question & answer→Question 341 Mark
$...........\%$ of a circle is removed, if its $\frac{1}{8}$ th part is removed. $(40, 80, 12.5)$
View full question & answer→Question 351 Mark
If $9$ toys cost $₹45$, then cost of6 toys is $₹........... (25, 30, 54)$
View full question & answer→Question 361 Mark
Ratio of $4$ days and $36$ hours is $........... ( 3:8 , 8:3$, not possible)
View full question & answer→Question 371 Mark
Ratio of $20$ paise and $25$ metres is.$.......... ( 1:2 , 2:1$, not possible)
View full question & answer→Question 381 Mark
$20:25$ means........... $\left(\frac{5}{4}, \frac{4}{5}, \frac{9}{5}\right)$
View full question & answer→Question 391 Mark
If $x: 5 : 12::20$, then $x =............ (10, 6, 3)$
View full question & answer→Question 401 Mark
None of the measures should be...........for the ratio. $(0, 1, 1000)$
View full question & answer→Question 411 Mark
$1.5$ means............ $\%. (50, 100, 150)$
View full question & answer→Question 421 Mark
Simple interest of $₹1000$ at $15\%$ for years is $₹300. (2, 3, 4)$
View full question & answer→Question 431 Mark
Simple interest of $₹800$ at$...........%$ for $3$ years is $₹288. (12, 15, 18)$
View full question & answer→Question 441 Mark
Simple interest of $₹500$ at $15 \%$ for $2$ years is $₹........... (10, 30, 150)$
View full question & answer→Question 451 Mark
An item costs $₹70.$ If $20\%$ of its price is increased, then its cost is $............ (140, 84, 90)$
View full question & answer→Question 461 Mark
If cost of an item is increased from $₹40$ to $₹50.............$ then percentage of price is increased. $(10, 20, 25)$
View full question & answer→Question 471 Mark
$12=20 \%$ of $........... (24, 60, 240)$
View full question & answer→Question 481 Mark
Fill in the blank. If $\text{A}=\frac{1}{3} B$ and $\text{B}=\frac{1}{2} C$ then $A : B : C =$ ______.
AnswerIf $\text{A}=\frac{1}{3}$ B and $\text{B}=\frac{1}{2} C$ then $A : B : C = 1 : 3 : 6.$
Solution: Given, $\text{A}=\frac{1}{3}$ B and $\text{B}=\frac{1}{2} C \text{A : B : C}=\frac{1}{3}\text{B : B : }2\text{B}=1:2:3$
View full question & answer→Question 491 Mark
Mark against the correct answer in the following: If $10$ metres of a uniform rod weighs $18\ kg$, then the weight of $6$ metres of the rod is _____ kg.
AnswerIf $10$ metres of a uniform rod weighs $18\ kg$, then the weight of $6$ metres of the rod is $10.8\ kg$.
Solution: A rod of length $10\ m$ weighs $18\ kg$.
A rod of length 6 m will weigh $\frac{18}{10}\times6=10.8\text{kg.}$
View full question & answer→