Explore topic-wise InterviewSolutions in Current Affairs.

The rational number between $\frac{1}{4}$ and $\frac{1}{3}$ is .

$\text{The product}(a+b)(a-b)(a^2-ab+b^2)(a^2+ab+b^2)$ is equal to

In the figure, AB = AC and $\angle ACD={105}^{\circ },find\angle BAC.$

It is required to make a closed cylindrical tank of height 1 m and base diameter 140 cm from a metal sheet. How many square metres of the sheet are required for the same ?

In two triangles ABC and ADC, if AB = AD and BC = CD. are they congruent?

In the adjoining figure,D and E are respectively the midpoints of sides AB and AC of $△ABC$.If PQ||BC and CDP and BEQ are straight lines then prove that $ar\left(△ABQ\right)=ar\left(△ACP\right)$.

In the given figure,$\angle OAB={75}^{\circ },\angle OBA={55}^{\circ }$ and $\angle OCD={100}^{\circ }$. Then, $\angle ODC=?$


$\left(a\right){20}^{\circ }$

$\left(b\right){25}^{\circ }$

$\left(c\right){30}^{\circ }$

$\left(d\right){35}^{\circ }$

If ABCD is a rhombus with $\angle ABC={56}^{\circ }$, find the measure of $\angle ACD$.

If each edge of a cube of volume $V$ is halved, then the volume of the new cube is __________.

Question 118

A design is made up of four congruent right triangles as shown in the given figure. Find the area of the shaded portion.

1. undefined
2. undefined
3. undefined
4. undefined

The median class for the given data is

$$\begin{array}{ccccccc}Height\left(incm\right)& Lessthan140& Lessthan145& Lessthan150& Lessthan155& Lessthan160& Lessthan165\\ CumulativeFequency& 4& 11& 29& 40& 46& 51\end{array}$$

If ($x^5$-9$x^2$+12x-14) is divided by (x – 3), the remainder is -

A box has length, breadth and height of $10cm,20cm$ and $5cm$ respectively. The lateral surface area of the box is

Show that x = 4, y = 1 is a solution of the equation 2x + 5y = 13. [2 MARKS]

In $△$ABC, AB = 3 and, AC = 4 cm and AD is the bisector of $\angle$A. Then, BD : DC is —

The distance of the point (–2, –2) from the origin is

Find a point on the line x + 2y = 9 where the ordinate is equal to the abscissa

Question 19

40% of [100 - 20% of 300] is equal to
(a) 20
(b) 16
(c) 140
(d) 64

In the given figure, the ratio of $\angle$2 : $\angle$1 = 2 : 1. Find the value of $\angle$AOB.

The dimensions of a cuboid are in the ratio of 1 : 2 : 3 and its total surface area is 88 $m^2$. The volume of cuboid in $m^3$___ $m^3$

A 75${}^{\circ }$ angle can be made by drawing angle bisector between a 90${}^{\circ }$ angle arm and a ___${}^{\circ }$ angle arm.

The measure of $\angle AOC=$ ___

The given four points (0, 0), (0, 4), (-4, 4) and (-4, 0) represents:

If 'a' and 'b' are rational numbers, then find the values of 'a' and 'b' given that $\frac{2+5\sqrt{3}}{2-\sqrt{3}}=a+b\sqrt{3}$

In the given figure, which property of congruence can be used to prove that $△ABC\cong △CDA?$

The measure of one side of a right triangle is 4.2m. If the difference of the lengths of hypotenuse and other is 14m, find the sides and area of the triangle.

Water is flowing at the rate of 15 km/hr through a pipe of diameter 14 cm into a rectangular tank which is 50 m long and 44 m wide. Find the time in which the level of water in the tank will rise by 21 cm.

Solve the following system of equations using elimination method:​
$2x+7y=10$​
$3x+y=6$

Prove that the midpoints of the adjacent sides of a rhombus will form a rectangle.

A principal of ₹40,000 is compound annually at the rate of 10% for 2 years. What is the compound interest and is it greater than the simple interest for the same rate and the same time?

The perimeter of an isosceles triangle is 32 cm and its base is 12 cm and one of its equal sides form the diagonals of a paralleleogram. Find the area of the paralleleogram.

A bag contains 100 identical marble stones numbered from 1 to 100. What is the probability of drawing a marble having number divisible by 4 and 5?

Use the Factor Theorem to determine whether g(x) is a factor of p(x) in each of the following cases:
$\left(i\right)p\left(x\right)=2x^3+x^2-2x-1,g\left(x\right)=x+1$
$\left(ii\right)p\left(x\right)=x^3+3x^2+3x+1,g\left(x\right)=x+2$ [4 MARKS]

Factorise :a² -(2a+3b)²

Add the decimals obtained as results in sums I and II.

Sum I: 2.906 + 16.728 + 2.1

Sum II: 1.569 – 5.77 – 0.023

Match the following: $$\begin{array}{cc}ColumnA& ColumnB\\ 1.\{1,2,4,8\}& A.\{x:xisanevennaturalnumberlessthan10\}\\ 2.\left\{2\right\}& B.\{x:xisaprimenumberandadivisorof8\}\\ 3.\{2,4,6,8\}& C.\{x:xisadivisorof8\}\\ 4.\{4,6,8,9\}& D.\{x:xisacompositenumberlessthan10\}\end{array}$$

Which of the following statements is not true about the figure given below?

Which of the following does not represent the sides of a triangle?

The equation of the circle of radius 5 and touching the coordinate axes in third quadrant is

Find the area of a gm whose base and the corresponding altitude are 12 cm & 5 cm long, respectively.

Solution set of $lo{g}_{0.25}(x^2+2x-8{)}^2-lo{g}_{0.5}(10+3x+x^2)=1$

Find the value of (12m – 15n)²

ABCD is a parallelogram. If the radius of the circle passing through all the vertices of a parallelogram is 4 cm, then the length of the diagonal AC (in cm) is ___.