Explore topic-wise InterviewSolutions in Current Affairs.

The expansion of $(x+2y+z{)}^2$ is ________.

x + y = 10, x^2 + y^2 = 58 then x^3 + y^3 = ?

If point 0 represents the origin (0,0), then coordinates of point J shown below is _____ .

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Assertion: If AB = CD, then BE = DE and AE = CE, where E is the point of intersection of AD and BC.

Reason: Angles in the same segment are equal.


Which of the following options is correct?

Find angle x if line l is parallel to line m and line n is a transversal.

Which of the following should be the LAST sentence after rearrangement?

Ram got 50 chocolates and he distributed all the chocolates among his friends. He is left with ___ chocolates. If we include the number representing the number of chocolates left with him to a set of natural numbers then we get a set of ________.

A ladder reaches a window $12m$ above the ground and its foot is at a distance of $5m$ from a wall, then the length of the ladder is

For an A.P, first term a = 5 and Common difference d = 3. Find the sum of first 8 terms.___

If $A^3=0$, then $I+A+A^2$ equals

What is the diameter (in cm) of a sphere whose surface area is 616${\text{cm}}^2$?

In fig., if AB = AC and BD = DC. ΔABD and ΔACD are congruent by which criterion.

If the area of an equilateral triangle is $9\sqrt{3}{cm}^2$. What is the length of the side of the triangle.

The coordinate of a point (-x, y) lies in the

Study the passbook and answer the question that follows :

Till what day of the month is the interest calculated?

In $\Delta$ ABC, DE $\parallel$ BC. Then which of the following is stated by Basic Proportionality Theorem?

The inner diameter of a well is 2 m and it is 35 m deep. What would be the cost of cementing its inner wall at Rs. 500 per square meter ?

The diameter of a road roller is 44 cm and it is 1.4 m long.

What is the area of a levelled surface when it rolls once?

The figure shows the cracker and the circle formed by the sparkles of the cracker. Find the area of the ground it covered if the sparkle formed was of 28 cm from the cracker.

Express 1025 paise in the form of rupees(₹)?

For a cube of side 'a' and a cuboid of length 'l', breadth 'b' and height 'h', match the following.

What is the area of the $△$ SOR? PQRS is a square.

Using the properties of proportion, solve the following equation for x.

$\frac{x^3+3x}{3x^2+1}=\frac{341}{91}$

Question 161

Shikha has an order from a golf course designer to put palm trees through
a $(\times 2^3)$ machine and then through $a(\times 3^3)$ machine. She thinks that she can do the job with a single repeater machine. What single repeater machine she should use?

Which of the following is irrational ?

In the figure, given below, AD = BC, $\angle BAC={30}^{\circ }and\angle CBD={70}^{\circ }.$

Find :

(i) $\angle BCD$

(ii) $\angle BCA$

(iii) $\angle ABC$

(iv) $\angle ADB$

The ratio between the curved surface area and the total surface area of a right circular cylinder is $1:2$. Find the volume of the cylinder, if its total surface area is 616 $c{m}^2$

If a cone is cut into two parts by a horizontal plane through the mid-point of its axis,the ratio of the volumes of upper and lower part is

The length of two parallel chords of a circle are $6$ cm and $8$ cm. If the smaller chord is at a distance of $4$ cm from the centre, what is the distance of the other chord from the centre ?

Construct a triangle ABC, in which $\angle$B = 53.13°, $\angle$C = 36.87° and AB + BC+ CA = 24 cm. What type of triangle is this? [4 MARKS]

Question 2(d)

Write True (T) or False (F) against each of the following statements:

$8:9::24:27$

If $\sum fx=5x+2$ and $\sum f=12$ and the mean of the distribution is 6, then the value of $x$ is less than _____.

In the given triangle, if ∠P = 60^o and ∠R = 70^o then the smallest angle of the triangle is

If $a^2+\frac{1}{a^2}=34$, then the value of $a^3+\frac{1}{a^3}$ is equal to.

What is the product of $\frac{1}{8-3\sqrt{7}}$ and its conjugate?

In the given figure, ON = OM. If AB = 5 cm, then CD is equal to:

Find the fraction form of the decimal 0.12121212....... .

Find the value of $(3a-\frac{1}{2})(3a-\frac{1}{2})$.

In the given figure, AD, CE and BF are the medians. O is the point at which the medians of the $\Delta ABC$ intersect. Area of the $\Delta BOC$ is $24c{m}^2$. Then the area of the $\Delta ABC$ is:

In the figure, $X$ is a point in the interior of square $ABCD.AXYZ$ is also a square. If $DY=3cm$ and $AZ=2cm,$ then $BY=$

Show that a median of a triangle divides it into two triangles of equal areas.

Total surface area of a sphere is directly proportional to __ of radius of the sphere.