Explore topic-wise InterviewSolutions in Current Affairs.

If A(3,7) and B(7,9) are two ends of a line segment which is divided by point Q in the ratio 3:4 , then find the co-ordinates of point Q.

The height of a triangle is $2x+6$ cm and its base $4x-12$ cm. The area of the triangle expressed as a polynomial is ​

Water in a canal 30 dm wide and 12 dm deep, is flowing with a velocity of 100 km per hour. How much area will it irrigate in 30 minutes if 8 cm of standing water is desired?

The cross section of a canal is in a shape of a trapezium. If the canal is 12 m wide at the top and 8 m wide at the bottom and the area of its cross – section is 84 $m^2$, determine its depth.

The radius and height of a right cone are in the ratio 3:4. Then the ratio of total surface area to curved surface of the cone is

Numbers 50,42,35,2x+10,2x-8,12,11,8 are written descending order and their median is 25,find x.

Find the mode.

Factorise:
$8(x+y{)}^3-27(x-y{)}^3$

Where does the point (0, 3) lie?

LMNO is a trapezium with $LM\parallel NO$. If P and Q are the mid - points of LO and MN respectively and LM =5 cm and ON =10 cm then PQ =

Find the diameter of a circle in cm whose area is equal to the sum of the area of the two circles of radii 24 cm and 7 cm.

If the radius and slant height of a cone are in the ratio 7:13 and its curved surface area is 286 $c{m}^2$,find its radius.

A and B borrowed Rs. 60000 and Rs. 50,000 respectively for a period of 3 years. A paid simple interest at a rate of $10\%$ per annum while B paid compound interest at the rate of $10\%$ per annum compounded annually. Who paid more and by how much?

Which of the following is not a polynomial?

If x^2 - 3x + 1 = 0 where ( x ≠ 0 ) then the value of x^3 - 1/ x^3 is = ?

In the given figure it is given that AB = CF, EF = BD and $\angle$AFE = $\angle$DBC. Then by which criterion $△AFE\cong △CBD$ ?

If a coin is tossed two times, what is the probability of
(i) getting head at least once?
(ii) getting exactly one head? [2 MARKS]

If tangents PA and PB from a point P to a circle with center O are inclined to each other at an angle of ${80}^{\circ }$ then find the measure of $\angle POA$

If P(A) and P(not A) are complementary events and P(A) = 0.15, then P(not A) = ?

The bisector of the vertical angle of an isosceles triangle.

If the values $1\frac{1}{2},\frac{1}{3},\frac{1}{4},\frac{1}{5},......\frac{1}{n}$ occur at frequencies $1,2,3,4,5,\dots \dots ..,$ n in a distribution, then the mean is

Question 9
Bisectors of the angles B and C of an isosceles triangle with AB = AC intersect each other of 0. BO is produced to a point M. Prove that $\angle MOC=\angle ABC$.

ABCD is a parallelogram with $\angle$ABC=${90}^{\circ }$, then number of right angles in the parallelogram excluding $\angle$ABC is/are ____?

Is it possible to find the largest whole number on the number line? [1 MARKS]

Question 2 (i)
Simplify $(3+\sqrt{3})(2+\sqrt{2})$ .

Question 6(ii)
Evaluate:
${\left(\frac{5}{8}\right)}^{-7}\times {\left(\frac{8}{5}\right)}^{-4}$

$\stackrel{⟷}{AB}and\stackrel{⟷}{CD}$, are straight lines. Which one of these lines is a transversal with respect to the other?

If $1^3+2^3+...+9^3=2025$, then $(0.11{)}^3+(0.22{)}^3+...(0.99{)}^3$ will be _________.

If $4tan\theta =5$, then $\left(\frac{4sin\theta -cos\theta }{4sin\theta +cos\theta }\right)$ is equal to

Find $(5+\sqrt{7})(2+\sqrt{5})$ .Is it rational? [4 MARKS]

Factorise:
$9a^2+6a+1-36b^2$

$\Delta ABCand\Delta DBC\text{are two isosceles triangles on the same base BC and vertices A and D are on the same side of BC. If AD is extended to intersect BC at E, show that}\left(i\right)\Delta ABD\cong \Delta ACD\left(ii\right)\Delta ABE\cong \Delta ACE\left(iii\right)\text{AE bisects}\angle A\text{as well as}\angle D\left(iv\right)\text{AE is the perpendicular bisector of BC.}$

Which of the following is/are true about a kite?

1. Two pairs of adjacent sides are equal.

2. Two pairs of opposite sides are equal.

3. It is not a parallelogram.

4. It is a parallelogram.

Find the value of x, if the equation is like $\sqrt{10+\sqrt[3]{3x}}=4$

The simplified form of ${(-\frac{1}{27})}^{\frac{-2}{3}}$ is

Which of the following statements are true (T) and which are false (F):

(i) Sides opposite to equal angles of a triangle may be unequal.

(ii) Angles opposite to equal sides of a triangle are equal.

(iii) The measure of each angle of an equilateral triangle is ${60}^{\circ }$

(iv) If the altitude from one vertex of a triangle bisects the opposite side, then the triangle may be isosceles.

(v) The bisectors of two equal angles of a triangle are equal.

(vi) If the bisector of the vertical angle of a triangle bisects the base, then the triangle may be isosceles.

(vii) The two altitudes corresponding to two equal sides of the triangle need not be equal

(viii) If any two sides of a right triangle are respectively equal to two sides of another right triangle, then the two triangles are congruent.

(ix) Two right triangles are congruent if hypotenuse and a side of one triangle are respectively equal to the hypotenuse and a side of the other triangle.

Write down the sample space for tossing three coins. Also write down the set of outcomes for the events (i) getting the same sign on all the coins (ii)getting at least two heads.

In the figure, $\Delta PQR$ is an isosceles triangle with PQ = PR and m $\angle PQR={35}^{\circ }$, Find m $\angle QSR$ and m $\angle QTR$

^{The curved surface of a cylindrical bulb of height 18cm and base radius 7 cm is to be painted in luminating gold colour such that 2/3 rd of the height of bulb emits golden light, painting is done at Rs. 5 per sq. cm. The cost of painting the bulb is (pi =$\frac{22}{7}$)}

The point (2, 7) is at a distance of ___________ units from the y-axis.

Next day in class, Ted got his Math exam corrected paper. For each correct answer, $5$ marks were rewarded and for each wrong answer, $2$ marks were cut. Out of the questions Ted attempted, $11$ were correct. Which of the following expressions give the number of questions answered incorrectly by Ted if he scored $41$ marks?

The sum of two numbers is 209. If one number is 7 less than two times of the other, then find the two numbers.