Explore topic-wise InterviewSolutions in .

Question 5

In the following question out of the four options only one is correct, write the correct answer:

If $\frac{5x}{3}-4=\frac{2x}{5},$ then the numerical value of 2x-7 is:

(a) $\frac{19}{13}$

(b) $\frac{-13}{19}$

(c) 0

(d) $\frac{13}{19}$

In figure displayed below, if TP and TQ are the two tangents to a circle with centre O so that $\angle POQ={110}^{\circ },then\angle PTQ$ is equal to

In the given figure, if $\angle \text{OAB}={40}^{\circ }$, then $\angle \text{ACB}$ = ___.

For the given linear equation $x-2y=1$, match the different $x$ values with their corresponding $y$ values.

Let $A$ be a square matrix of order $n$ such that $det\left(A\right)=10$ and $\frac{det\left(2A\right)}{2}=40.$ Then the order of $A$ is



[1 mark]

A tangent is a secant with which of the following properties?

Three pieces of timber 42 m, 49 m and 63 m long have to be divided into planks of the same length. What is the greatest possible length of each plank ? How many planks are formed ?

Without actually performing the long division, state whether the following rational number will have a terminating decimal expansion or a non-terminating decimal expansion:

$\frac{7^3}{2^3\times 5^2}$ and $\frac{3\times 7^3}{2^3\times 3}$

If six line segments having lengths 2, 3, 4, 5, 6, 7 units, Find the number of different line segments which cannot form a triangles.

Match the following to their roots.

A solution of the equation $cose{c}^2\theta$ + $co{t}^2\theta$ = 3 is ....................

In a circle of radius 7 cm, tangent PT is drawn from a point P such that PT = 24cm. If O is the centre of the circle. then length OP = ?

(a) 30 cm (b) 28 cm (c) 25 (d) 18 cm

The value of $x,$ if

$\left|\begin{array}{cc}2x& 5\\ 8& x\end{array}\right|=\left|\begin{array}{cc}6& 5\\ 8& 3\end{array}\right|$ is

The probability of getting at least one tail in 4 throws of a coin is

Solve each of the following systems of equations by using the method of cross multiplication:

$\frac{1}{x}+\frac{1}{y}=7,\frac{2}{x}+\frac{3}{y}=17(x\ne 0andy\ne 0).$

Show that for odd positive integer to be a perfect square, it should be of the form 8k + 1

X- coordinate of the point that divides line segment joining A(2, 4) and B(6, 8) in the ratio 2:1 is

Define elementary event and compound event.

Find the volume of the square pyramid, if one the triangular faces is given below.

Four points A, B, C, D are given on circle. Line segment AB and CD are parallel. Find the area of the figure formed by these points (in ${cm}^2$).

If the system of equations $x-2y=1,x+ky+4=0$ and $2x+y=3$ is consistent, then the value of $k$ is:

The equation of a straight line passing through the origin and perpendicular to the straight line 2x +3y -7 = 0 is

Value of $\sin (-{420}^{\circ })$ is

Find the value of $\frac{\text{Cot}{30}^{\circ }+\text{Cosec}{30}^{\circ }}{\text{Cot}{60}^{\circ }-\text{Cosec}{60}^{\circ }}$

If,
prove that

Show that points $P(1,–2),Q(5,2),R(3,–1),S(–1,–5)$ are the vertices of a parallelogram

The hypotenuse of a right triangle is 4 times the smallest side. The third side is $\sqrt{735}$. Find the smallest side.

Construct tangents to a circle of radius 4 cm from a point on the concentric circle of radius 6 cm and find its approximate length.

Solve for x : $12ab{x}^2–(9a^2-8b^2)x–6ab=0$

Find the value of $\angle$ABP if $\angle$APT = ${75}^0$