Question 4 :
$\displaystyle 3 \dfrac { 6 }{ 10 } =  \dfrac { ? }{ 10 } $ Find $?$
Question 8 :
A number with decimal point followed by 1 or more digits is called:
Question 11 :
Write $\dfrac{3}{13}$ in decimal form and say what kind of decimal expansion it has.
Question 16 :
What is the multiplication of the numbers $1\dfrac {1}{3}\times 3\dfrac {1}{4}\times \dfrac {7}{8}$ ?<br/>
Question 21 :
Use the digits $11, 9, 7$ to form the smallest and the largest mixed number. Then find their sum giving your answer as a mixed number.
Question 27 :
Which one is the example of improper fraction from the given options ?
Question 35 :
If $10$ years $6$ months are written in decimal form as 106 is it correct or wrong?
Question 36 :
To express a terminating decimal as a common fraction, we express the decimal as a common fraction with a power of $10$ in the ............
Question 37 :
The sum of place value of digit 2 in the number $21.236$ is
Question 38 :
The simplified value of $\left (1 - \dfrac {1}{3}\right )\left (1 - \dfrac {1}{4}\right )\left (1 - \dfrac {1}{5}\right ) .... \left (1 - \dfrac {1}{99}\right ) \left (1 - \dfrac {1}{100}\right )$ is
Question 43 :
State 'T' for true and 'F' for false.<br>(i) Every rational number can be expressed with a positive numerator.<br>(ii) $\frac{3}{11}$ cannot be represented as a non-terminating repeating decimal.<br>(iii) If $\frac{p}{q}$ and $\frac{r}{s}$ are two terminating decimals, then $\frac{p}{q}\times\frac{r}{s}$ is also a terminating decimal.<br>(iv) If $\frac{p}{q}$ is non-terminating repeating decimal and $\frac{r}{s}$ is a terminating decimal, then ($\frac{p}{q}\div\frac{r}{s}$)is a terminating decimal.
Question 49 :
In the number $0.257$, which of the following does the digit $7$ represent?
Question 51 :
Find the value of :$\displaystyle \frac { \left( 0.0036 \right) \left( 2.8 \right)  }{ \left( 0.04 \right) \left( 0.1 \right) \left( 0.003 \right)  } $
Question 52 :
Simplify: $\displaystyle\frac { \left( 8\displaystyle\frac { 1 }{ 3 } \times\displaystyle\frac { 1 }{ 5 }  \right) -\left( 2\displaystyle\frac { 1 }{ 3 } \div 3\displaystyle\frac { 1 }{ 2 }  \right)  }{ \left( \displaystyle\frac { 7 }{ 10 } \,of\, 1\displaystyle\frac { 1 }{ 4 }  \right) +1\displaystyle\frac { 1 }{ 10 } -\left(\displaystyle \frac { 2 }{ 5 } \div \displaystyle\frac { 5 }{ 6 }  \right)  } $<br/><br/>
Question 53 :
If arranged order  in ascending which number is in second place?<br/>$1234.456, 5623.564, 2563.965, 9856.365$
Question 56 :
The smallest fraction which should be subtracted from the sum of $1\dfrac{3}{4},\,2 \dfrac{1}{2},\,5 \dfrac{7}{12}, \,3\dfrac{1}{3}$ and $2 \dfrac{1}{4}$ to make the result a whole number, is _______.
Question 58 :
The denominator of fraction is 6 more than its numerator. If 2 is added to both the numerator and denominator, the fraction becomes $1/2$. Find the fraction.
Question 60 :
Write the place value of $3$ in the following decimal numbers.<br/>$90.30$place value is $\dfrac {3}{10}$
Question 62 :
A fraction whose numerator is greater than its denominator is<u> </u> fraction.
Question 63 :
$\displaystyle \dfrac{3\dfrac{1}{4}-\dfrac{4}{5}\, of\, \dfrac{5}{6}}{4\dfrac{1}{3}\div \dfrac{1}{5}-\left ( \dfrac{3}{10}+21\dfrac{1}{5} \right )}-\left ( 1\dfrac{2}{3}\, of\, 1\dfrac{1}{2} \right )$ is equal to:
Question 71 :
Find the sum of all unit place digit of the numbers formed with the digits $3,4,5,6,7$ taken all at a time using each digit only once in each number.
Question 72 :
The value of $\displaystyle {{{{\left( {0.96} \right)}^3} - {{\left( {0.1} \right)}^3}} \over {{{\left( {0.90} \right)}^2} + \left( {0.096} \right) + 0.01}}$ is 
Question 76 :
A 300 metre long train crosses a platform in 39 seconds while it crosses a signal pole in 18 seconds. What is the length of the platform?
Question 77 :
Evaluate the following:$ 0.8 \times \displaystyle \dfrac {\dfrac {7}{12}}{\dfrac {5}{24}} $.<br/>
Question 80 :
In the numeration system with base $5$, counting is as follows : $1, 2, 3, 4, 10, 11, 12, 13, 14, 20$,____. The number whose description in the decimal system is $69$, when described in the base $5$ system, is a number with:
Question 87 :
In $\dfrac {2}{3}p - 2\dfrac {1}{2} = 3\dfrac {1}{2}$, the value of $p$ is ____________.
Question 91 :
The product of each negative integer with $-1$ is always ______.
Question 92 :
A teacher assigns $5$ points for a correct answer, and $-2$ points for an incorrect answer, and $0$ points for leaving the questioned unanswered. What is the score for a student who had $22$ correct<br/>answers, $15$ incorrect answers, and $7$ unanswered questions? 
Question 95 :
Value of $\displaystyle{ 2 }^{ 2 }{ \times (-3) }^{ 2 }{ \times 2 }^{ 2 }{ \times (-4) }^{ 2 } $ is
Question 96 :
What will be the sign of the product if we together multiply $199$ negative integers and $10$ positive integers?
Question 97 :
State the following statement is True or False<br>Multiplication and Division of two negative numbers is always a negative number<br><br>
Question 107 :
Which of the following expression proves that integers are not closed under division?
Question 115 :
State the following statement is True or False<br>The value of $-32\times -13= -416$
Question 117 :
The value of $555 \displaystyle \times   193 - 555 \displaystyle \times  93$ is
Question 119 :
The value of$\displaystyle \frac{0.9\times 0.9\times 0.9+0.1\times 0.1\times 0.1}{0.9\times 0.9-0.9\times 0.1+0.1\times 0.1}$ on simplification is
Question 121 :
If the dividend and divisor have like signs then the quotient will be_____.
Question 124 :
State the following statement as True or False.<br/>Multiplication and Division of two negative numbers is always a negative number.<br/>
Question 135 :
State the following statement is True or False<br>Multiplication of one negative number and one positive number results into negative number<br><br>
Question 136 :
$-32\times x= 160$, $-23\times y= -115$<br/>What is the value of $x\div y$?
Question 137 :
If the dividend and divisor have unlike signs then the quotient will be___.
Question 140 :
State , true or false :<br>product of $120$ negative integers and $121$ positive integers is negative.
Question 143 :
Write (T) for true and (F) for false for each of the following statements:<br/>$(-1) \div (-1) = -1$
Question 144 :
Sum of two integers is $+62$. If one of the integer is $-48$ then the other is
Question 151 :
Which is smallest among the following : <br>$A=-38+25, B=43-40, C=12+23$ and $D=33-55$
Question 152 :
Subtracting two positive/negativeintegers with same sign or opposite sign is same as:
Question 154 :
The addition of two numbers is $-72$. If one number is thrice the another number. Find the greater number
Question 156 :
If the sum of two integers is $ -17 $ and one of them is $ -9 $ , then the other is
Question 158 :
Multiplication of a negative integer for even times gives a _____result
Question 159 :
The sum of two integers is $- 35$. If one of them is 40, then the other is.
Question 160 :
Which of the following statement are true and which are false?<br>The product of two negative integer is a negative.
Question 161 :
The sum of two integers is $-23$. If one of them is $18$, then the other is
Question 164 :
Write (T) for true and (F) for false for each of the following statements:<br/>$(-8) \div 1 = -8$
Question 165 :
Mark against the correct answer in each of the following:<br/>On subtracting -8 from -13, we get
Question 167 :
Which sign will show correct comparison between the given expressions?<br>$(-3)-74)+(-42)+(-82)\Box (-12)+(-43)-(-57)+1$.
Question 168 :
If the dividend and divisor have like signs then the quotient will be .......... .
Question 172 :
Which of the following statement are true and which are false?<br>The product of three negative integers is a negative integer.
Question 173 :
If $A,B$ and $C$ has $x,y$ and $z$ Rs. respectively, such that the sum of money of $A$ and $B$ is greater than the money what $C$ has. Then
Question 174 :
If the sum of two integers is $- 26$ and one of them is $-14$, then the other integer is.
Question 176 :
State, whether the following statements are true or false.<br/>If $a<b$ and $c>0$, then $a-c<b-c$ where $a, b, c$ are real numbers and $c\neq 0$.
Question 180 :
Check whether the following statement is true or false.-10 is greater than -7.
Question 184 :
Sum of two negative integers always gives a numbersmaller than both the integers.
Question 187 :
Write (T) for true and (F) for false for each of the statement:<br/>$-6 \div (0) = 0$
Question 188 :
If $m$ and $n$ are the smallest positive integers satisfying the relation $\left ( 2C is \dfrac {\pi}{6}\right)^m = \left ( 4C is \dfrac {\pi}{4}\right)^n$, then $(m+n)$ has the value equal to
Question 189 :
The difference between the greatest and the smallest 4-digit numbers that can be formed by the digits $5,3,0\ and\ 8$ such that 5 is always at the ones place and no digits are repeated is
Question 190 :
$0$ is the __________ identify for whole numbers, whereas $1$ is the ___________ identify for whole numbers.
Question 191 :
Without actual multiplication, then value of$687 \times 687 - 313 \times 313$
Question 192 :
If n  is an integer between 0  to 25, then the minimum value of $n!\left( {25 - n} \right)!$  is 
Question 193 :
A driver is $20$ m below sea level. If he goes further down by $10$m, then find his new position.
Question 195 :
The uncertainty of a probable event can be measured numerically by means of <br/>
Question 199 :
State true or falseA probability experiment was conducted. Following number is  considered as a probability of an outcome?<br/>$-0.78$
Question 200 :
A speaks truth in $75\%$ cases and B in $80\%$ of the cases. In what percentage of the cases are they likely to contradict each other, narrating the same incident?
Question 201 :
If A is any event in a sample space, then $P(\overline A)=1+P(A)$
Question 202 :
Can the experimental probability of an event be a negative number? If yes enter 1 else 0.<br/>
Question 203 : Eleven bags of wheat flour, each marked $5\: kg$, actually contained the following weights of flour $($in $kg):$<span class="wysiwyg-font-size-medium"><br/>$4.97,\,\,  5.05,\,\, 5.08,\,\,  5.03,\,\,  5.00,\,\,  5.06,\,\,  5.08,\,\,  4.98,\,\,  5.04,\,\, 5.07,\,\,  5.00$<p>Find the probability that any of these bags chosen at random contains more than $5\: kg$ of flour.</p>
Question 205 :
Which one of the following cannot be the probability of an event. <br>
Question 206 :
A number is chosen at random from the numbers $-3,-2,-1,0,1,2,3$. What will be the probability that the square of this number is less than or equal to $1$
Question 207 :
In an experiment, the sum of probabilities of all events is :<br/>
Question 208 :
A bag contains $20$ brown and $20$ red balls. One ball is drawn at random. What is the probability that ball is red?<br/>
Question 209 :
The probability of getting at least one tail in $4$ throws of a coin is -
Question 211 :
Which of the following cannot be the probability of an event?
Question 213 : <table class="table table-bordered"><tbody><tr><td> <b>Weight (in kg)</b></td><td> $44-49$</td><td>$ 50-55$</td><td>$56-61 $</td><td>$62-67$ </td></tr><tr><td> <b>Number of students</b></td><td> $8$</td><td>$ 15$</td><td> $25$</td><td> $17$</td></tr></tbody></table>Garima collected the data regarding weights of students of her class and prepared the above table:<br/>A student is to be selected randomly from her class for some competition. The probability of selection of the student is the highest whose weight (in kg) is in the interval _____.<br/>
Question 214 :
A fair die is thrown once. The probability of getting a composite number less than 5 is
Question 215 :
For any event E, $P(E)+P(\overline E)=1$ where $\overline E$ stands for 'not E'. $E$ and $\overline E$ are called complementary events
Question 217 :
The probability of an event is greater than or equal to ____ and less than or equal to $1$.
Question 218 :
If the probability of an event is $1$, then it is an:
Question 221 : Employees at a Hospital<br/><table class="wysiwyg-table"><tbody><tr><td>Years Worked</td><td>Nurse</td><td>Doctor</td><td>Technician</td><td>Total</td></tr><tr><td>Less than $2$</td><td>$20$</td><td>$10$</td><td>$20$</td><td>$50$</td></tr><tr><td>$2$ to $5$</td><td>$15$</td><td>$15$</td><td>$10$</td><td>$40$</td></tr><tr><td>$6$ to $10$</td><td>$13$</td><td>$18$</td><td>$18$</td><td>$49$</td></tr><tr><td>More than $10$</td><td>$12$</td><td>$10$</td><td>$12$</td><td>$34$</td></tr><tr><td>Total</td><td>$60$</td><td>$53$</td><td>$60$</td><td>$173$</td></tr></tbody></table>The table above shows the years worked by employees at a hospital. Calculate the probability that a technician has worked for $6$ or more years.
Question 222 :
What is the probability of getting a number less then 5 in a single throw of a die?
Question 223 :
Which one of the following cannot be the probability of an event <br>
Question 225 :
The range of probability of any event of a random experiment is $[0, 1]$.
Question 226 :
Three dice are rolled. The probability that the same number will appear on each of them is
Question 227 :
Which of the following cannot be the probability of an event?<br/>
Question 228 :
In a class of 125 students 70 passed in Mathematics, 55 in Statistics and 30 in both. The probability that a student selected at random from the class, has passed in only one subject is
Question 230 :
In Mathematics Exam, the probability of Aayushi scoring $100$ out of $100$ is
Question 232 :
State true or falseA probability experiment was conducted. Following number is  considered as a probability of an outcome?<br/>$112$%
Question 234 :
Two dice are thrown at a time and the sum of the numbers on them is $6$. The probability of getting a number $4$ on any one of the die is
Question 235 : <p>Three dice are rolled and told that exactly two of them are showing the same number. The probability of getting sum 16 is</p>
Question 236 :
In a box, there are 2 red, 3 black and 4 white balls. Out of these three balls are drawn together. The probability of these being of the same colour is:
Question 237 :
State the following statement is true or falseThe probability of an event can be greater than one also.
Question 238 :
The probability of India winning a test match against Australia is $\dfrac {1}{2}$ assuming independence from match to match. The probability that in a match series India's second win occurs at third test match is
Question 239 :
Sum of the probability of happening and not happening of an event is :<br>
Question 240 :
In a cricket match, a bats-woman hits a boundary $6$ times out of $30$ balls she plays. Find the probability that she did not hit a boundary.<br/>
Question 241 :
Sum of the probabilities of all the elementary events of an experiment is
Question 242 :
Can the experimental probability of an event be greater than 1? If yes enter 1 else 0.<br/>
Question 243 :
According to the property of probability, the probability of an event cannot be <br/>
Question 244 :
If 3 dice are rolled then, what is the probability that the sum is 16      
Question 245 :
Four persons can hit a target correctly with probabilities $\dfrac{1}{2}, \dfrac{1}{3}, \dfrac{1}{4}$ and $\dfrac{1}{8}$ respectively. If all hit at the target independently, then the probability that the target would be hit, is?
Question 246 : <p>A and B each throw a die. The probability that A's throw is not greater than B's is</p>
Question 247 :
Four die are thrown simultaneously. The probability that $4$ and $3$ appear on two of the die given that $5$ and $6$ have appeared on other two die is?
Question 248 :
An ordinary die has four blank faces. One face marked $2$, an other marked $3$. Then the probability of obtaining a total of exactly $12$ in $5$ throws is
Question 249 :
If the probability of hitting a target by a shooter, in any shot, is $\dfrac{1}{3}$, then the minimum number of independent shots at the target required by him so that the probability of hitting the targetat least once is greater than $\dfrac{5}{6}$, is :
Question 250 :
Let $S= \{1,2,....,20\}$.A subset $B$ of $S$ is said to be "nice", if the sum of the elements of $B$ is $203$. Then the probability that a randomly chosen subset of $S$ is "nice" is:
Question 251 :
The letters of the word "$\text{QUESTION}$" are arranged in a row at random. The probability that there are exactly two letters between $Q$ and $S$ is 
Question 252 :
If $1$ out of every $50$ people who play a certain game win a prize, what percent of people lose?
Question 253 :
'X' speaks truth in 60% and 'Y' in 50% of thecases. The probability that they contradict eachother narrating the same incident is
Question 254 :
The probability that an event happen in one trial is $0.8.$ The probability that the event happens at least once in three trails is 
Question 255 :
If $3$ numbers are selected from the first 15 natural numbers, then the probability that the numbers are in A.P is
Question 256 :
A bag contains $9$ marbles, $3$ of which are red, $3$ of which are blue, and $3$ of which are yellow. If three marbles are selected from the bag at random, what is probability that they are all of different colors?
Question 257 :
The probability that a leap year will have $53$ fridays or $53$ saturdays, is:
Question 258 :
Three balls are drawn at random from a collection of $7$ white, $12$ green and $4$ red balls. The probability that each is different colour is
Question 259 :
A card is drawn at random from a well shuffled card. find the probability of card drawn is a black king.<br/>
Question 260 : For a biased die the probabilities for the different faces to turn up are given below:<br/>The die is tossed and you are told that either face one or face two turned up. Then the probability that it is face one is.<br/><table class="wysiwyg-table"><tbody><tr><td><b>Faces:</b></td><td>1</td><td>2</td><td>3</td><td>4</td><td>5</td><td>6</td></tr><tr><td><b>Probabilities:</b></td><td>0.1</td><td>0.32</td><td>0.21</td><td>0.15</td><td>0.05</td><td><br/>0.17<br/><br/></td></tr></tbody></table>
Question 261 :
In a maths paper there are $3$ sections $A, B$ and $C$. Section $A$ is compulsory. Out of sections $B$ and $C$ a student has to attempt any one. Passing in the paper means passing in $A$ and passing in $B$ or $C$. The probability of the student passing in $A, B$ and $C$ are $p, q$ and $1/2$ respectively. If the probability that the student is successful is $1/2$ then
Question 262 :
In a bag there are ten balls in which three are red. The probability that there will be atleast one red ball, in a draw of two balls is
Question 263 :
If $\displaystyle \ast $ represents 5 balloons then number of symbols to be drawn to represent 60 balloons is <br/>
Question 264 : The percentage of marks obtained by a student in a unit test are given below:<br><table class="wysiwyg-table"><tbody><tr><td>Unit test</td><td>I</td><td>II</td><td>III</td><td>IV</td><td>V</td></tr><tr><td>% of marks</td><td>70</td><td>72</td><td>65</td><td>68</td><td>86</td></tr></tbody></table>What is the probability that the student gets more than 70% marks
Question 265 :
A box contains $b$ blue balls and $r$ red balls. A ball is drawn randomly from the box and is returned to the box with another ball of the same colour. The probability that the second ball drawn from the box is blue is
Question 266 :
Two independent events are always mutually exclusive, If this is true enter 1, else enter 0.
Question 268 :
In how many ways $9$ mathematics papers can be arranged, so that the best and the worst paper are always together<br/>
Question 269 :
Find the probability of getting $53$ fridays in a leap year.
Question 270 :
The faces of a die bear numbers $0,1,2,3,4,5$. If the die is rolled twice, then find the probability that the product of digits on the upper face is zero.
Question 271 :
The probability of drawing a face card from a standard pack of 52 cards is
Question 272 :
Eight sided disc are used in adventure games They are marked with the numbers 1 to 8 The score is the upper most face. The probability of scoring a square number is
Question 273 :
In a class there are 14 boys and 10 girls If one child<br>is absent the probability that it is a boy is
Question 274 :
The probability of drawing a red 9 from a standard pack of 52 playing cards is
Question 275 :
If the probability of an event of a random experiment is $P(E)=0$, then the event is called an impossible event is <br/>
Question 276 :
If A is an event of a random experiment, then $A^C$ or $A^-$ or A' is called the compliment of the event.<br/>If true then enter $1$ and if false then enter $0$.<br/>
Question 277 :
As the number of tosses of a coin increases, the ratio of the number of heads to the total number of tosses will be $\cfrac{1}{2}$ . If true enter 1 else 0.<br/>
Question 278 :
It has been found that if A and B play a game 12 times, A wins 6 times, B wins 4 times and they draw twice. A and B take part in a series of 3 games. The probability that they win alternately, is :<br>
Question 279 :
If two numbers $p$ and $q$ are chosen randomly from the set $ \{ 1, 2, 3, 4 \} $ with replacement, then the probability that $p^2 \le 4q $ is equal to :
Question 280 :
Two dice are thrown simultaneously. The probability of getting a multiple of $2$ on one die and a multiple of $3$ on the other is ___________.
Question 281 :
The probability for a randomly chosen month to have it's 10th day as Sunday is :
Question 282 :
If $A$ and $B$ are two independent events, then which of the following is not equal to any of the remaining?
Question 283 :
The probability that a non leap year selected at random will have $53$ Sundays is
Question 284 :
A purse contains $10$ five hundred rupee note, $20$ hundred rupee notes, $30$ fifty rupee notes and $40$ ten rupee notes. If it is likely that one of the notes will fall out when the purse turns upside. What is the probability that the note will not be a five hundred rupee note?
Question 285 :
A box contains $20$ identical balls of which $10$ are blue and $10$ are green. The balls are drawn at random from the box one at a time with replacement. The probability that a blue ball is drawn $4th$ time on the $7th$ draw is
Question 286 :
If the integers m and n are chosen at random from 1 to 100, then the probability that a number of the form $7^n + 7^m$ is divisible by 5, equal to
Question 288 :
An experiment is performed $ 350$  times and there are three possible events $ A, B$ and $C $ in the experiment. Possible occurrences of the three events are recorded.Which one of the records is possible ?
Question 289 :
One integer is chosen out of $1, 2, 3, ..., 100$. What is the probability that it is neither divisible by $4$ nor by $6$.
Question 290 :
Three unbiased coins are tossed. What is the probability of getting at most two tails or two heads?<br/>
Question 291 :
There are $44$ students in class $X$ of a school of whom $32$ are boys and $12$ are girls. The class teacher has to select one student as a class representative. He writes the name of each student on a separate card, the cards being identical. Then he puts cards in a bag and stir them thoroughly. He then draws one card from the bag. What is the probability that the name written on the card is the name of a girl?<br/>
Question 292 :
What is the probability of getting a king if a card is drawn from a pack of $52$ cards?
Question 293 :
An urn contains one black ball and one green ball. A second urn contains one white and one green ball. One ball is drawn at random from each urn.Find the probability of getting at least one green ball.
Question 294 :
Numbers <b>1,2,3,4,5,6,7,8 </b>are arranged in a random order. The probability that the digits <b>1,2,3,4 </b>appear as neighbours in that order, is
Question 295 :
What is the average (arithmetic mean) of all numbers multiples of $6$ from $6$ to $510$ inclusive?
Question 296 :
The mean number of tickets sold daily by a comedy show over a seven-day period was $52$. The show sold $46$ tickets on the last day of that period. Find the mean number of tickets that were sold daily over the first six days.
Question 298 :
The probability that a man hits a target is $\dfrac{3}{4}$.If tried $5$ time, the probability that he will hit the target at least three times,is 
Question 299 :
Three fair dice are thrown. The probability of getting a sum $6$ or less on the three dice is
Question 300 :
A examination consists of $8$ questions in each of which oneof the $5$ alternatives is the correct one. On theassumption that a candidate who has done no preparatory workchooses for each question any one of thefive alternatives with equal probability, theprobability that he gets more than one correct answer is equal tofive alternatives with equal probability,the probability that he gets more than one correct answer is equal to
Question 301 :
$n$ different books $(n\ge 3)$ are put at random in a shelf. Among these books there is a particular book. '$A$' and a particular book $B$. The probability that there are exactly '$r$' books between $A$ and $B$ is-
Question 303 :
A bag contains $3$ red and $3$ green balls and a person draws out $3$ at random. He then drops $3$ blue balls into the bag and again draws out $3$ at random. The chance that the $3$ later balls being all of different colors is
Question 305 :
The mean age of a group of persons is 40.Another group has mean age 48. If the ratio ofnumber of persons in two groups is 5 : 3, thenmean age of all the persons in two groups is
Question 306 :
In a random experiment, a fair die is rolled until two fours are obtained in succession. The probability that the experiment will end in the fifth throw of the die is equal to
Question 307 :
Suppose Mr. Ramesh have rupee $2, 3$ and $5$ notes. In howmany ways he can get a sum of rupees $83$ such that atleast one note of each type is present and the number of $2$ rupee note(s) is less than number of $3$ rupee note(s) which is again less than the number of $5$ rupees note (s).<br/>
Question 308 : <p>If x is an even number then the consecutive even number is </p>
Question 309 : <p>The difference of two numbers is 21, the larger number is x, then smaller number is </p>
Question 311 :
Identify which of the following is/are linear equation(s) in two variables.
Question 314 :
The largest number of the three consecutive number is $x+1$ then the smallest number is 
Question 316 :
Frame the given statement into a mathematical expression: "Thrice of a number increased by $150$."
Question 317 :
The value of the variable which satisfies the equation is called the _____
Question 318 :
Sum of the ages of three friends is $x$, what is the sum of their ages after $3$ years?
Question 319 :
Subtract the sum of $(8a - 6a^{2} + 9)$ and $(-10a - 8 + 8a^{2})$ from $-3$ is _________.
Question 321 :
Mark the algebraic expression for the statement: 'Product of $x$ and $a$ subtracted from the product of $b$ and $y$'
Question 322 :
Sumeet guessed a number $x$ and then he added $30$ to it. Give the expression for double of it.
Question 324 :
The shifting of a number from one side of an equation to the other is called as
Question 325 :
If the cost of ten tea packet of the same size is $Rs\ 250$, then the cost of $25$ tea packets is
Question 326 :
Mayank is $1\dfrac{2}{5}$ times as tall as vansh. If Mayak is 38 cm taller then Vansh, what is Mayank's height
Question 330 :
An equation in which the highest index of the variables present is one is called
Question 331 :
Which of the following pairs of equation have the same solutions?
Question 334 :
Solve the following equation: $3(3x\, -\, 4)\, -2(4x\, - 5)\, =\, 6$
Question 336 :
A student was asked to multiply a number by $\dfrac{4}{3}$. Instead he divided the number by $\dfrac{4}{3}$ and obtained a number smaller by $\dfrac{3}{4}$; the number is
Question 337 :
The value of $x$ for which the open sentence $x + 6 = 7$ is true is
Question 338 :
Solve for $x$: $\displaystyle \frac{1}{5}(3x\, -\,2)\, -\, \frac{1}{3}(x\, +\, 7)\, +\, 1\, =\, 0$.
Question 339 :
Indian cricket team won 4 morematches than it lost with NewZealand. If it won$\displaystyle \frac{3}{5}$of its matches,how many matches did India play ?
Question 341 :
Solve for m.<br/>$\dfrac{m}{5} - \dfrac{{m + 2}}{3} + m = 8$
Question 342 :
Convert the statement into an equation : Adding $14$ to $9$ times $y$ is $89$.
Question 344 :
Ram is two years older than Shyam who is twice as old as Mohan. If the total of the ages of Ram, Shyam, and Mohan be 27, then how old is Shyam?<br/>
Question 346 :
Which of the following pairs of equations have the same solution ?
Question 348 :
Indu and Ramadhir can complete a task in $25$ days and $50$ days respectively. How long would Indu take to complete the task if Ramadhir assists her every second day $?$
Question 352 :
If $x\%$ of $200$ is $10$, then the value of $ x$ is
Question 353 :
Number to be added on LHS of equation to find the value of '$y$' is (elimination method) $y-8=6$
Question 359 :
The average of four successive even number $27 $. Then which is the greatest number out of the four numbers?
Question 361 :
If<br>$\displaystyle 5\frac{1}{6}-\left [ 1\frac{1}{5}+\left \{ 2\frac{3}{4}\div 5\frac{1}{2}\div \chi -\left ( \frac{5}{6}-\frac{2}{3} \right ) \right \} \right ]=2\frac{61}{120}$<br>then the value of x is
Question 362 :
If one-fifth of three-fourth of a number is $\displaystyle 12\frac{3}{4}$, what is the number?
Question 364 :
The line represented by $x = 7$ is parallel to the x-axis. Justify whether the statement is true or not.<br/>
Question 365 :
Baichung's father is $26$ years younger than Baichung's grandfather and $29$ years older than Baichung. The sum of the ages of all the three is $135$ years. What is the age of each one of them?
Question 366 :
If we multiply or divide both sides of a linear equation with a non-zero number, then the solution of the linear equation:<br/>
Question 367 :
If $x+\dfrac{1}{x}=a+b$ and $ x-\dfrac{1}{x}=a-b $ then, which of the following is correct?
Question 368 :
Hassan buys two kinds of cloth materials for school uniforms, shirt material that costs him $Rs.50$ per metre and trouser material that costs him $Rs.90$ per metre. He buys $2$ metre shirt material and $3$ metre trouser material what is the total cost.
Question 369 :
Vinita uses $\displaystyle{\frac{1}{4}}$cup of apple sauce in place of every $\displaystyle{\frac{1}{3}}$cup of butter in hercookie recipe. How many cups of apple sauce will Vinita use in place of1 cup of butter?
Question 371 :
Solve for $\displaystyle p:$ <br> $2\left ( p-3 \right )+5\left ( p-2 \right )=0$
Question 372 :
State true or false:If we multiply both sides of an equation by zero, then we can create an equivalent equation.<br/>
Question 373 :
The sum of the present ages of a father and his son is 60 years Six years ago father's age was five times the age of the son After six years son's age will be-
Question 374 :
Mrs. Nikita sold 7928 cakes in 6 days, she sold 350 more cakes on the lastday of the week than the previous six days. How many cakes did she sell inthe whole week ?
Question 375 :
If $\displaystyle  \frac{1}{5}\left ( 3x-2 \right )-\frac{1}{3}\left ( x+7 \right )+1=0$; find the value of $4x^{2}-4x+1$.
Question 376 :
$ \sqrt{2^x} = 32$ then $ \dfrac {x-1}{x} $ is equal to :
Question 379 : <p>If $\dfrac{{3x - 1}}{5} - \dfrac{{1 + x}}{2} = 3 - \dfrac{{x - 1}}{2}$  , then x=</p>
Question 380 :
Find the value of $x$ in  $\displaystyle \frac { -x }{ 3 } +8=\frac { 9 }{ 13 } $<br/>
Question 381 :
The present ages of three persons in proportions $4 : 7 : 9$. Eight years ago, the sum of their ages was $56$. Find their present ages (in years).<br/>
Question 382 :
$A$ can do a piece of work in $4$ hours; $B$ and $C$ together can do it in $3$ hours, while $A$ and $C$ together can do it in $2$ hours. How long will $B$ alone take to do it?
Question 383 :
Mohit baked 2000 cookies. He sold 600 of them and gave the rest equally to20 of his friends. How many cookies did each of his friends receive ?
Question 385 :
In an event laddoos of same size were distributed among 400 students in which each student got 1 laddoo. If the size of each laddoos was decreased by $50\%$ then to how many students it could be distributed?
Question 387 :
If $\dfrac {x^{2} + n}{x^{2} + 4} = 1$, then $n =$
Question 389 :
Find the value of $p$ such that, $(13)^{2p+8} = \dfrac {1}{(13)^{-14}}$
Question 390 :
Number to be added on both the sides of the equation $y-8=6$ to find the value of $y$ is _______ .
Question 394 :
The weight of Rahul is $5\ kg$more than Sachin .The weight of Samir is $12\ kg$less than double the weight of Sachin .If the total weight of all the three is $93$, find the weight of each one of them.
Question 395 :
Water freezes at $\displaystyle 0^{\circ}C$ and boils at $\displaystyle 100^{\circ}C$. Write an inequality to show the range of temperature $(t)$ for which water is a liquid. 
Question 397 :
In the following equation, determine whether the given values are solutions of the given :<br/>$x^2 \, - \, \sqrt{2x} \, - \, 4 \, = \, 0, \, x \, = \, -\sqrt{2}, \, x \, = \, -2\sqrt{2}$
Question 400 :
Which of the following can be expressed as the sum of square of two positive integers, as well as three positive integers?
Question 401 :
Half of a number is added to <span class="MathJax_Preview"><span class="MathJax"><span class="math"><span class="mrow"><span class="mn">18<span class="MJX_Assistive_MathML">18 then the sum is $46$. The number is 
Question 402 :
If $x - \dfrac {1}{x} = \dfrac {1}{3}$, then what is $9x^{2} + \dfrac {9}{x^{2}}$ equal to?
Question 403 :
If $x$ satisfies the inequalities $x + 7 < 2x + 3$ and $2x + 4 < 5x + 3$, then $x$ lies in the interval.
Question 404 :
If $\displaystyle \left ( 1-\frac{1}{2} \right )\left ( 1-\frac{1}{3} \right )\left ( 1-\frac{1}{4} \right )$......$\displaystyle \left ( 1-\frac{1}{70} \right )=\frac{x}{70}$<br>then what is the value of x?<br><br>
Question 405 :
$280$ meals are to be prepared by three chefs. Every chef has its own speed but the combined output of all three is modelled by the equation $8x+4x+2x=280$. If $x$ is a positive integer, which of the following could $8x$ represent in the equation?
Question 406 :
If $3r = 18$, what is the value of $6r +3$?
Question 407 :
The Inverse expression of $x+\cfrac { 1 }{ x } $ will be:
Question 409 :
The perimeter of an isosceles triangle is $\displaystyle 3\frac { 9 }{ 4 } $ cm. The base of an isosceles triangle is $\dfrac{3}{2}$ cm. What is the length of either of the remaining equal sides?
Question 410 :
In countries like USA and Canada temperature is measured in Fahrenheit where as in countries like India, it is measured in Celsius. Here is a liner equation that converts Fahrenheit to Celsius $F = \left( \dfrac{9}{5} \right ) C + 32$<br/>If the temperature is $0^0$C, what is the temperature in Fahrenheit and if the temperature is $0^0$F, what is the temperature in Celsius
Question 412 :
A ray stands on a line, then the sum of the two adjacent angles so formed is ______.<br/>
Question 413 :
If two parallel lines are intersected by a transversal, then alternate interior angles are equal.<br/>
Question 414 :
If two supplementary angles are differ by $\displaystyle 44^{\circ}$, then one of the angle is _______.
Question 416 :
If the supplement of an angle is three times its complement, then angle is:<br/>
Question 418 :
If $2x + 3y + 4 = 0$ & $\lambda x + ky + 2 = 0$ are identical lines then $3\lambda - 2k = $
Question 419 :
If two angles are complementary and in the ratio $17:13$. Find the measure of angles.
Question 420 :
If amongst two supplementary angles, the measure of smaller angle is four times its complement, then their difference is:
Question 422 :
If measure of one angle of linear pair is $102^{\circ}$, then the measure of second angle is $ 78^{\circ}$.
Question 424 :
Measure of an angle of linear pair is $125^{\circ}$, then what is the measure of another angle?
Question 425 :
Find the supplement of the angle :$\dfrac{2}{5}$ of a right angle
Question 426 :
The ratio between two complementary angles is $2 : 3$: find the smallest angle.
Question 427 :
If two interior angles on the same side of a transversal intersecting two parallel lines are in the ratio 2 : 3, then the smaller of two angles is :<br/>
Question 430 :
Two angles, which have their arms parallel are either____ or ____.<br/>
Question 432 :
Two complementary angles are such that two times the measure of one is equal to three times the measure of the other. The measure of the larger angle is:
Question 433 :
The difference between the supplement of an angle and the angle is $36^{\circ}$. The supplement is:
Question 434 : <p>If two interior angles on the same side of a transversal intersecting two parallel lines are in the ratio $3 : 7$, then the measure of the larger angle is</p>
Question 435 :
Two angles are supplementary, if one of them is$\displaystyle { 49 }^{ o }$. Find the other angle?
Question 436 :
Find x; if $\angle\, 1\, =\, 5x\, +\, 15^{\circ}$ and $\angle\, 2\, =\, 28x$, angles form linear pair.
Question 437 :
State true or false:If two parallel lines are intersected by a transversal, then the interior angles on the same side of the transversal are supplementary <br/>
Question 438 :
A pair of angles with a common vertex and common arm are called
Question 439 :
Two supplementary angles are in the ratio 4 : 5. The angles are<br>
Question 440 :
Lines $m$ and $n$ are cut by a transversal so that $\angle 1$ and $\angle 5$ are corresponding angles. If $\angle 1=26x-{7}^{o}$ and $\angle 5=20x+{17}^{o}$. What value of $x$ makes the lines $m$ and $n$ parallel?
Question 443 :
If an angle is eight times its complementary angle, then the measurement of the angle is
Question 444 :
If the sum of two adjacent angles is $100^{\circ}$ and one of them is $35^{\circ}$, then the other is :<br>
Question 445 :
If two adjacent angles are equal, then each angle measures $90^o$.<br/>
Question 446 :
A bicycle wheel makes four and half turns, then the number of right angles through which it turns is ________.
Question 449 :
Two distinct _____in a plane cannot have more than one point in common.
Question 450 :
Find the complement of the angle :$\dfrac{1}{4}$ of a right angle
Question 451 :
Find x; if $\angle\, 1\, =\, 5x\, +\, 15^{\circ}$ and $\angle\, 2\, =\, 28x$, angles form linear pair.
Question 452 :
State whether the following statement is True or False.<br/>If two lines intersect each other,then the vertically opposite angles are equal.
Question 453 :
If two supplementary angles are in the ratio 2 : 7, then the angles are :<br>
Question 455 :
The supplement angleof the complement of$\displaystyle { 30 }^{ o }$ is
Question 457 :
If two supplementary angles differ by $44^o$, then one of the angles is ___________.
Question 458 :
The angle between the internal and the external bisectors of an angle of a triangle is ___________.
Question 460 :
Two angles the sum of whose measure is $90^{\circ}$ are called ______ angles
Question 461 :
Find the measure of the complementary angle of each of $77^o$<br/>
Question 462 :
State true or false:<br/>If two lines intersect and if one pair of vertically opposite angles is formed by acute angles, then the other pair of vertically opposite angles will be formed by obtuse angles.<br/>
Question 463 :
Mark the correct alternative of the following.<br>In a $\Delta ABC$, if $2\angle A=3\angle B=6\angle C$, then the measure of the smallest angle is?<br>
Question 465 :
Find n ,if $\angle A\, =\, 11n\, -\, 13^{\circ}$ and $\angle B\, =\, 7n\, +\, 39^{\circ}$,where A and B are vertically opposite angles.
Question 466 :
Two angles are adjacent and form an angle of $100^\circ$. The larger is $20^{\circ}$ less than five times the smaller. The larger angle is
Question 467 :
If two interior angles on the same side of a transversal intersecting two parallel lines are in the ratio $2:3$ which is the smallest of the two angles?<br/>
Question 469 :
Lines PQ and RS intersect at O. If $\angle POR$ is three times$\angle ROQ$, then$\angle SOQ$ is
Question 471 :
The angle that is three times as large as its complement is
Question 472 :
The lines which lie on the same plane and do not intersect at any point are called:
Question 473 :
$\Box ABCD$ is a trapezium in which $AB || DC$ and $\angle A = \angle B = 45^o$. Find $\angle C$ and $\angle D$ of the trapezium.<br/>
Question 474 :
Find the measure of an angle, if five times of its complement is $24^o$ less than twice of its supplement.
Question 475 :
Line A is parallel to line B , line C is perpendicular to line A, Line D is perpendicular to line A.Which statement below must also be true ?
Question 476 :
Find smallest of two complementary angles, if they are in the ratio $3 : 7$
Question 477 :
If l and m are intersecting lines, $l\! \parallel \! p \:and \:m\! \parallel \! q$, then which of the following statements is true?<br/>
Question 479 :
Two angles are complementary. If the larger angle is twice the measure of a smaller angle, then smaller is _____
Question 482 :
Punita wants to classify a triangle according to the given clue.<br>Two angles of the triangle are complementary.<br>What type of triangle is the one Punita wants to classify?
Question 483 :
Two supplementary angles are in ratio $4:5$. Find the measure of greater angle.
Question 484 :
The angles are adjacent and form an angle of $140 ^ { \circ }$ . The smaller is $28$ $^ { \circ }$ less than the larger.
Question 485 :
Find the angle which is $\displaystyle { 56 }^{ o }$ more than its complement.
Question 486 :
Assertion: If two lines intersect, then the vertically opposite angles are equal.
Reason: If a transversal intersects, two other parallel lines, then the sum of two interior angles on the same side of the transversal is $180^o$.
Question 487 :
Mark the correct alternative of the following.<br>In a $\Delta ABC$, if $2\angle A=3\angle B=6\angle C$, then the measure of the smallest angle is?<br>
Question 488 :
Mark the correct alternative of the following.<br>If the measures of the angles of a triangle are $(2x)^o, (3x-5)^o$ and $(4x-13)^o$. Then the value of x is?<br>
Question 490 :
Find smallest of two supplementary angles, if they are in the ratio $7 : 11$.
Question 494 :
The measure of an angle which is four times its supplementary angle is:
Question 495 :
$\displaystyle \angle A$ and $\displaystyle \angle B$ are complement of each other. Find angle $A$ and $B$ if, $A=7x+6$ and $B=8x+9$.
Question 496 :
Vertically opposite angles are both same type of angles.(either acute, obtuse or right angles.)
Question 497 :
If an angle is eight times its complementary angle, then the measurement of the angle is:<br/>
Question 498 :
Lines PQ and RS intersect at O. If $\angle POS = 2 \angle SOQ$, then the four angles at O are:<br/>
Question 499 :
Lines PQ and RS intersect at O. If $\angle POR$ is three times$\angle ROQ$, then$\angle SOQ$ is
Question 501 :
$A$ line $AB$ is parallel to the line $CD$. This is symbolically written as
Question 503 :
The measure of an angle which is four times its supplementary angle is:<br/>
Question 504 :
A line $AB$ is parallel to the line $CD$. <br/>This is symbolically written as:
Question 505 :
The complementary angle of the supplementary of $ { 100 }^{ \circ }$ is.
Question 506 :
Find the measure of an angle which is one-fifth of its supplement.<br/>
Question 508 :
In a pair of adjacent angles, (i) vertex is always common, (ii) one arm is always common, and (iii) uncommon arms are always opposite rays<br>Then
Question 510 :
Mark the correct alternative of the following.<br>If the measures of the angles of a triangle are $(2x)^o, (3x-5)^o$ and $(4x-13)^o$. Then the value of x is?<br>
Question 512 :
Consider the lines $\frac{x}{2} = frac{y}{3} = frac{z}{5}$ and $\frac{x}{1} = frac{y}{2} = frac{z}{3}$, then the equation of the line which
