Question 1 :
If two angles are complementary and in the ratio $17:13$. Find the measure of angles.
Question 2 :
A ray stands on a line, then the sum of the two adjacent angles so formed is ______.<br/>
Question 3 :
Two angles are supplementary, if one of them is$\displaystyle { 49 }^{ o }$. Find the other angle?
Question 4 :
If two lines intersect such that four vertical angles are equal, then each angle is:
Question 5 :
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 7 :
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 8 :
The supplementary angle of the complementary angle of anglehaving measure $23$ hasmeasure
Question 9 :
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
Question 12 :
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 13 :
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 14 :
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 17 :
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 18 :
Write the place value of $3$ in the following decimal numbers.<br/>$90.30$place value is $\dfrac {3}{10}$
Question 20 :
If $x\%$ of $200$ is $10$, then the value of $ x$ is
Question 21 : <p>If x is an even number then the consecutive even number is </p>
Question 22 :
Number of sides on either side of equation in simple equation is
Question 24 :
In the following equation, determine whether the given values are solutions of the given equation.<br/>$2x^2 \, - \, x \, + \, 9 \, = \, x^2 \, + \, 4x \, + \, 3, \, x \, = \, 2, \, x \, = \, 3.$
Question 25 :
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 26 :
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 27 :
The average of four successive even number $27 $. Then which is the greatest number out of the four numbers?
Question 30 :
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 31 :
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 32 :
A person lent some amount at $11$% p.a. simple interest, and after 4 years he interest amounted to Rs. $1200$ less than the amount lent. What is the amount that person lent?
Question 33 :
A person lends $40\%$ of his sum of money at $15\%\,p.a.$, $50\%$ of rest at $10\%\,p.a.$ and the rest at $18\%\,p.a.$ rate of interest. What would be the annual rate of interest, if the interest is calculated on the whole sum?
Question 34 :
Suppose for the principal $P$, rate $R\%$ and time $T$ years the simple interest is $S$ and compound interest is $C$. Consider the possibilities :<br>(i) $C > S$ (ii) $C = S$ (iii) $C < S$<br><br>Which of the following options hold?<br>
Question 35 :
$A$'s income is $25\%$ more than that of $B$. $B$'s income is $8\%$ more than that of $C$. If $A$'s income is Rs.$20250$, find the income of $C$.<br/>
Question 36 :
A and B entered into partnership with capitals in the ratio 4 : 5 After 3 months A withdraw $\displaystyle \frac{1}{4}$ of his capital and B withdraw $\displaystyle \frac{1}{5}$ of his capital. The gain at the end of 10 months was Rs 760. A's share in this profit is
Question 37 :
A sum of Rs. $725$ is lent in the beginning of a year at a certain rate of interest. After $8$ months, a sum of Rs. $362.50$ more is lent but at the rate twice the former. At the end of the year, Rs. $33.50$ is earned as interest from both the loans. What was the original rate of interest?
Question 38 :
After a deduction of $ 5\%$ from a certain sum and then $10\%$ from the remainder a sum of Rs$171$ is left. The original sum was 
Question 39 :
A sum was put at simple interest at a certainrate for $4$ years. Had it been put at $2$% higherrate, it would have fetched Rs $112$ more. Find thesum.
Question 40 :
The population of a city increase at the rate of $4\%$ per annum. there is additional annual increase of $1\%$ due to influx of job seeker. The $\%$ increase in the population after $2$ years is 
Question 41 :
'n' litres of oil was poured into a tank and it was still e% empty. How much oil must be poured into the tank in order to fill it to the brim?
Question 44 :
Out of the rational numbers $\displaystyle\frac{5}{-11}, \frac{5}{-12}, \frac{5}{-17}$, which is the greatest?
Question 46 : <p>State whether the statements given are True or False</p><p>If $\dfrac{p}{q}$ is a rational number and m is a non-zero integer, then $\dfrac{p\times m}{q\times m}$ is a rational number not equivalent to $\dfrac{p}{q}.$</p>
Question 48 :
Which of the following rational numbers is in the standard form?
Question 49 :
Arrange the fractions $\displaystyle\frac { 4 }{ 5 } ,\displaystyle\frac { 9 }{ 11 } ,\displaystyle\frac { 3 }{ 5 } ,\displaystyle\frac { 7 }{ 12 } $ in descending order.
Question 50 :
Which of the following statements must be true whenever $n,a,b$ and $c$ are positive integers such that $n< a, c> a$ and $b> c$?
Question 51 :
One integer is greater than the other by $+4$. If one number is $-16,$ then the other will be
Question 52 :
If the length of circumference of a circle is $60$cm more than its diameter, then length of its circumference is?
Question 53 :
If an equilateral triangle of area $X$ and a square of area $Y$ have the same perimeter, then $X$ is:
Question 54 :
The total cost of flooring a room at Rs.$8.50$ per sq. metre is Rs.$510$. If the length of the room is $8$ metres, find its breadth.
Question 55 :
The side of a square is $2 cm$ and semicircles are constructed on each side of the square, then the area of the whole figure is
Question 56 :
$A$ took $15$ seconds to cross a rectangular field diagonally walking at the rate of $52$ m/min and B took the same time to cross the same field along its sides, walking at the rate of $68$ m/min. The area of the field is: 
Question 57 :
An equilateral triangle and a square have equal perimeters. If side of the triangle is $9.6\ cm$; what is the length of the side of the square ?
Question 58 :
A square and an equilateral triangle triangle have equal perimeters. If the diagonal of the square is $12\sqrt{2}$ cm, then area of the triangle is
Question 59 :
A piece of wire in the form of a rectangle $15\space cm$ long and $7\space cm$ broad is reshaped and bent into the form of a circle. Find the radius of the circle.
Question 60 :
A designated swimming pool of a circular pond at a park is marked with two ropes attached to a buoy at the center of the pond. Each rope is $10$ yards long, and together they form an angle of $160^o$. What is the approximate area of the sector that is designated for swimming pole?
Question 61 :
A regular hexagon of maximum possible area is cut off from an equilateral triangle. The ratio of area of triangle to the area of hexagon will be
Question 65 :
The coefficient of middle term in the expansion of $(1+x)^{10}$ is
Question 66 :
What is the measure of the third side of a triangle given that its two sides are $a^{2} - 2a + 1$ and $3a^{2} - 5a + 3$ and has a perimeter $6a^{2} - 4a + 9$?
Question 67 :
If $x+y=a$ and $xy=b$, then the value of $\displaystyle\frac{1}{x^3}+\displaystyle\frac{1}{y^3}$ is equal to
Question 68 :
The value of $4x^2+ 12x + 9$, if $x = -2$ is
Question 69 :
State whether true of false :<br>$5$ and $5x$ are like terms .
Question 72 :
If length of the largest side of a triangle is 12 cm then other two sides of triangle can be :<br>
Question 73 :
How many isosceles triangles are there with$\displaystyle { 40 }^{ o }$ as oneof the three angles?
Question 74 :
Which one of the following combinations of given parts does not determine the shape and size of indicated triangle?
Question 75 :
In $\Delta ABC$, if $\angle A = 35^{\circ}$ and $\angle B = 65^{\circ}$, then the longest side of the triangle is :<br>
Question 76 :
A triangle has side lengths of $6$ inches and $9$ inches. If the third side is an integer, calculate the minimum possible perimeter of the triangle (in inches).
Question 77 :
Write the correct answer from the given four options.<br>The hypotenuse of a right triangle with its legs of lengths $3x \times 4x$ is
Question 78 :
The number of triangles with any three of the length $1, 4, 6$ and $8 $ cm as sides is:
Question 79 :
Find all possible lengths of the third side, if sides of a triangle have $3$ and $9$.<br/>
Question 80 :
On the sides of an arbitrary triangle ABC, triangles BPC, CQA, and ARB are externally erected such that<br/>$\angle{PBC}=\angle{CAQ}=45^{\circ}$,<br/>$\angle{BCP}=\angle {QCA}=30^{\circ}$,<br/>$\angle{ABR}=\angle{BAR}=15^{\circ}$;<br/>
Question 81 :
In $\displaystyle \Delta ABC,$ segments $AD, BE$ and $CF$ are the altitudes. If $AB \times AC = 28.80$ and $BE \times CF = 20,$ then $AD \times BC$ equals:
Question 83 :
Given an isosceles triangle, whose one angle is $\displaystyle 120^{\circ}$ and radius of its incircle is $\displaystyle  \sqrt{3}$ unit. Then the area of the triangle in sq. units is 
Question 84 :
Use the sign of >, < or = in the box to make the statements true. 39 + (– 24) – (15)____ 36 + (– 52) – (– 36)
Question 87 :
At Srinagar temperature wax -5°C on Monday and then it dropped by 2$^{\circ}$C on Tuesday. On Wednesday, it rose by 4°C. What was the temperature on this day?
Question 88 :
For the two given numbers check whether their sum is between -11 and -4: (-6) and (-5).
Question 89 :
State whether the following statement is correct: When a positive integer and a negative integer are added, we always get a negative integer.
Question 90 :
A cement company earns a profit of Rs. 8 per bag of white cement sold and a loss of Rs. 5 per bag of grey cement sold. The company sells 3, 000 bags of white cement and 5,000 bags of grey cement in a month. What is its profit or loss?
Question 94 :
$(64)^{\displaystyle \frac {-2}{3}}\, \times \left (\displaystyle \frac {1}{4} \right )^{-3}$equals to
Question 95 :
If $x > 0$, which is equal to $\sqrt { { x }^{ 3 } } $?<br/>What is possible value of x$(i) x+x^{\frac{1}{2}} \ \ (ii) (x^{\frac{1}{2}})^3(iii)(x^2)(x)^{\frac{-1}{2}}$<br/>
Question 96 :
$4^{3} + 4^{3} + 4^{3} + 4^{3} = 2^{x}$<br/>In the equation above, calculate the value of $x$.<br/>
Question 100 :
Simplify :$\displaystyle \left[ \left( \frac{1}{6} \right)^{-2} - \left(\frac{1}{2} \right)^{-3} \right]\div \left(\frac{1}{3} \right)^{-2}$---
