Explore topic-wise InterviewSolutions in Current Affairs.

For the equation, $2x+y=10$ pair the values of $x$ and $y$.

What number should be subtracted from each of the number 23, 30, 57 and 78; so that the remainders are in proportion?

Question 13

If two quantities x and y vary directly with each other, then

(a) $\frac{x}{y}$ remains constant

(b) x-y remains constant

(c) x+y remains constant

(d) $x\times y$ remains constant

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 is ___.

Calculate the value of firm's goodwill on the basis of two year's purchase of the average profit of the last three years.

It costs Rs 2200 to paint the inner curved surface of a cylindrical vessel 10 m deep. If the cost of painting is at the rate of Rs 20 per m², find

(i) Inner curved surface area of the vessel

(ii) Radius of the base

(iii) Capacity of the vessel

The numbers 50, 42, 35, (2x+10), (2x-8),12, 11, 8 have been written in a descending order. If their median is 25, find the value of x.

In the given figure, $\angle A+\angle B+\angle C+\angle D+\angle E$ is equal to

Three similar coins were tossed simultaneously for 100 times and the data recorded is as given below :

$$\begin{array}{ccccc}Noofheads& 0& 1& 2& 3\\ Nooftosses=Frequency& 10& 35& 40& 15\end{array}$$

(i) What is the probability of getting more tails than heads?
(ii) What is the probability of getting more heads than tails?
(iii) Are (i) and (ii) complementary? Will they be complementary if we had 4 coins? [4 MARKS]

If $\Delta ABC$ $\cong$ $\Delta DEF$ by S.S.S. congruence, then which of the following options is correct?

If $a={\pi }^{3e},b=3^{\pi e}andc=e^{3\pi },then$

Question 28

When the speed remains constant, the distance travelled is___proportional to the time.

Clculate the area of the triangle whose sides are 18 cm, 24 cm and 30 cm in lenth. Also, find the length of the altitude corresponding to the smallest side.

The perimeter of a triangular field is 240 dm. If two of its sides are 78 dm and 50 dm, find the length of the perpendicular on the side of length 50 dm from the opposite vertex.

The radius of the circle given above is 7cm and the angle subtended by the arc is ${60}^{\circ }$.
If the area of $\Delta$OAB is $21{cm}^2$, then find the area of segment APBA.
$(\pi =\frac{22}{7})$

In a parallelogram $PQRS,$ $PQ=12cm$ and $PS=9cm.$ The bisector of $\angle P$ meets $SR$ in $M.$ $PM$ and $QR$ both when produced meet at $T.$ Find the length of $RT.$

Ram appeared in his mid-term examination and his marks in different subjects were:-

$$\begin{array}{cc}\text{Subject}& \text{Marks}\\ \text{Science}& 75\\ \text{Maths}& 85\\ \text{Hindi}& 75\\ \text{English}& 75\\ \text{Social Science}& 65\end{array}$$

Find the mean of this distribution of marks.

If $|x-2|=|x-6|$ then the value of $x$ is

The area of the figure formed by joining the mid points of the adjacent sides of a thombus with diagonals 16 cm and 12 cm is

Question 62

The area of a rectangular field is $48m^2$ and one of its sides is 6m. How long will a lady take to cross the field diagonally at the rate of 20 m/min?

In the given figure, O is the centre of a circle and $\angle AOC={120}^{\circ }.$ Then, $\angle$BDC = ?

(a) ${60}^{\circ }$

(b) ${45}^{\circ }$

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

(d) ${15}^{\circ }$

If $tan(A+B)=\sqrt{3}$, $tan(A-B)=\frac{1}{\sqrt{3}}$ and $B<A<{90}^{\circ }$, then B=

Which of these following points does not lie on the line represented by the equation
$4x-y=8$

Let $f\left(x\right)=|x^2-1|,$ then in which of the following interval(s) $f\left(x\right)$ is one-one function

Evaluate (i) $(1^3+2^3+3^3{)}^{\frac{1}{2}}$ (ii) ${\left[5{(8^{\frac{1}{3}}+{27}^{\frac{1}{3}})}^3\right]}^{\frac{1}{4}}$ (iii) $\frac{2^0+7^0}{5^0}$ (iv)${\left[\right(16{)}^{\frac{1}{2}}]}^{\frac{1}{2}}$

Question 5

The given distribution shows the number of runs scored by some top batsmen of the world in one-day international cricket matches.

$\begin{array}{cc}\text{Runs scored}& Numberofbatsmen\\ 3000-4000& 4\\ 4000-5000& 18\\ 5000-6000& 9\\ 6000-7000& 7\\ 7000-8000& 6\\ 8000-9000& 3\\ 9000-10000& 1\\ 10000-11000& 1\end{array}$

Find the mode of the data.

The set of even prime number is a/an ____.

In the figure, O is the centre of circle and ∠AOC = 160⁰. Find value of 3∠y – 2∠

.

$In\Delta ABC,\angle A={40}^{\circ }and\angle B={60}^{\circ }.\text{Then, the longest side of}\Delta ABCis\left(a\right)BC\left(b\right)AC\left(c\right)AB\left(d\right)\text{cannot be determined}$

Question 83 (xix)

Multiply the following :

$\frac{3}{2}{p}^2+\frac{2}{3}{q}^2,(2p^2-3q^2)$

If $△ABC\sim △$ DEF such that AB = 12 cm and DE = 14 cm. Find the ratio of areas of $△$ ABC and $△$ DEF.