Explore topic-wise InterviewSolutions in Current Affairs.

What quantity must be added to each term of the ratio $6:11$ so that it becomes equal to $2:3$?

the sum of the first n terms of an AP is $(3n^2+6n).$ Find the nth term and the 15th terms of this AP.

If A = ${30}^{\circ },$ verify that:

(i) $sin2A=\frac{2tanA}{1+ta{n}^{2}A}$ (ii) $cos2A=\frac{1-ta{n}^{2}A}{1+ta{n}^{2}A}$ (iii) $tan2A=\frac{2tanA}{1-ta{n}^{2}A}$

A wooden toy is in the shape of a cone mounted on a cylinder, as shown in the figure. The total height of the toy is 26 cm, while the height of the conical part is 6 cm. The diameter of the base of the conical part is 5 cm and that of the cylindrical part is 4 cm. The conical part and the cylindrical part are respectively painted red and white. Find the area to be painted by each of these colours. $[Take\pi =22/7.]$

Identify the correct shape of "Circle" from the following figures.

The zeros of the quadratic polynomial $x^2+88x+125$ are

(a) both positive (b) both negative

(c) one positive and one negative (d) both equal

A cylindrical saline bottle is injected into the vein of a patient. The saline bottle has radius 7 cm and height 20 cm. If the saline is released at a rate of 10 ${cm}^3$ per second, in approximately how many hours does the saline bottle gets emptied?

$\frac{(1+ta{n}^2\theta )cot\theta }{cose{c}^2\theta }=tan\theta$

The eight term of an A.P. is half of its second term and the eleventh term exceeds one third of its fourth term by 1. Find the 15th term.

Which of the following statements is true?

a) Exactly one of these statements is false
b) Exactly two of these statements are false
c) Exactly three of these statements are false
d) Exactly four of these statements are false

Question 36

In the first year on an investment of Rs. 600000, the loss is 5% and in the second year, the gain is 10%, the net result is ___.

Prove that : $\frac{tanA-tanB}{cotB-cotA}=\frac{tanB}{cotA}$

In polynomial division , the degree of the remainder is always ___ ( greater / less ) than the degree of the divisor.

Two numbers differ by 4 and their product is 192. Find the numbers.

I fold a rectangular piece of plane paper into a circular fold. The radius of the circle along which fold is done is 2K cm. The length of unfolded dimension is M cm. I get a solid figure. What is the figure and what is its surface area (in $c{m}^2$)?

A 15 cm tall cylindrical bucket of base diameter 6 cm, is recast to form a frustum with radii 2 cm and 4 cm. Find the height of the frustum obtained.

From the top of a building 60 m high, the angles of depression of the top and bottom of a tower are observed to be ${30}^{\circ }$ and ${60}^{\circ }$. Find the height of the tower.

A farmer has to plough the field for five different types of crops naming A,B,C,D and E in a circular field. If the diameter of the field is 210 units and every band is 21 units wide. Then, mark the incorrect option.

I.Area of region, where crop A is grown = $1386unit{s}^2$
II. Area of region, where crop B is grown = $22176unit{s}^2$
III.Area of region, where crops A,B,C and D are grown = $5544unit{s}^2$
IV. Area of region, where crop E is grown = $34650unit{s}^2$.

If the dividend received from $9\%$ ₹ 40 shares is ₹ 3240, find the number of shares purchased.

Dinesh bought an article of ₹ 374, which include a discount of 15% on the marked price and a sales tax of 10% on the reduced price. Find the marked price on the article.

If a, b and c are in G.P., prove that :

log a, log b and log c are in A.P.

Cot A = root 2

Show that cosec²A - sec² A 3

^{------------------------------------- =. -----------}

^{. cosec2A + sec 2A. 4}

A cylinder, a cone and a hemisphere have equal base and equal height. What is the ratio in their volumes?

In figure, XP and XQ are two tangents to a circle with center O from a point X outside the circle. ARB is tangent to circle at R. Prove that XA + AR = XB + BR.

What will the verb in the sentence change to in the passive form?

Jasmine gave Shruti a brand new phone on her birthday.

HOW CAN WE IDENTIFY MEDIAN CLASS IF TWO CLASSES ARE EQUALLY NEAR TO N/2?

A 6 feet tall man finds an apple on the ground 6$\sqrt{3}$ feet away from him. What is the angle of depression when he is looking at the apple (in degrees)? ___

The weekly expenses (₹) of 30 students of a class are given below: 62 ,80 ,110 , 75 , 84 , 73 , 60 , 62, 100 , 87 , 78 , 94 ,117, 86, 65, 68, 90, 80,118 ,72, 95, 72, 103, 96, 64, 94, 87, 85, 105, 115. Which among the given options is the correct frequency table (with class intervals 60 - 70)?

Let AB be the largest side of $△ABC$, such that $A{B}^2>A{C}^2+B{C}^2$. Then which of the following are not correct?

What is the reflection of the point $A(-2,3)$ in the line $y=2$?

In the given triangle $ABC,AB=8cm,\angle A={50}^{\circ },\angle B={70}^{\circ }$ as shown in the figure. The perpendicular distance from C to AB is equal to $[tan{50}^{\circ }=1.2,tan{70}^{\circ }=2.75]$

If TP and TQ are two tangents to a circle with center O such that $\angle POQ={110}^{\circ }$, then, $\angle$PTQ is equal to:

Find roots of quadratic equations xsquare+4x-5=0 by completing square method.

The perimeter of a quadrant of a circle of radius ⁷/₂ cm is

The LCM of $v^2-v$, $(v-1{)}^2$, and $v^3-1$ is

A(2, 4) and B(8, 12) are two ends of a line segment. Find the point which divides AB internally in the ratio 1:3.

$x^3+3x^2-4x-12$, when divided by (x - 2), leaves a remainder of $a{x}^2+bx+c$. Find a, b, c

$\angle BACof△ABC$ is obtuse and AB = AC. P is a point in BC such that PC= 12 cm. PQ and PR are perpendiculars to sides AB and AC respectively. If PQ = 15 cm and PR = 9 cm; find the length of PB.

If the length of the diagonal of a square is (a + b), then the area of the square will be:

Two positive numbers x and y are inversely proportional. If x increases by 20%, then percentage decrease in y is