Explore topic-wise InterviewSolutions in Current Affairs.

This shape is formed by using 6 three dimensional regular objects.

The 3D object is called __.

In an A.P. if $p^{th}$ term is $\frac{1}{q}\text{and}{q}^{th}$term is

$\frac{1}{p}$. Prove that the sum of first pq terms is

$\frac{1}{2}$ $(pq+1),$ where p $\ne$ q

Find the greatest number of 5 digits which is exactly divisible by 20,24,35 and 45.

For an incircle of a triangle, the sides of the triangle are ___ of the incircle.

How to express HCF of 1190 and 1445 in the form of 1190m+1445n using Euclid's algorithm?

Read the following information carefully to answer the given questions:

V, U and T are sitting around a circle. A, B and C are sitting around the same circle but two of them are not facing centre (they are facing the direction opposite to centre). V is second to the left of C. U is second to the right of A. B is third to the left of T. C is second to the right of T. A and C are not sitting together.

What is the position of V in respect of C?

Question 119 (i)

A square tile of length 20 cm has four quarter circles at each corner as shown in the figure.
Find the area of shaded portion.

Question 68(i)

Find the SP, if
MP = Rs. 5450 and discount = 5%

A copper rod of diameter 1 cm and length 8 cm is drawn into a wire of length 18 m of uniform thickness. Find the thickness of the wire.

Solve: ${\log }_{0.2}$ |x-3| $\ge$ 0

Question 72

In 2007-08, the number of students appeared for Class X examination was 105332 and in 2008-09 the number was 116054. If 88151 students pass the examination in 2007-08 and 103804 students in 2008-09. What is the increase or decrease in pass percentage in class X result?

27 spherical iron balls of radius 5 cm each are melted and recasted into a big sphere. Find the radius of the big sphere formed.

Find the value of x in the given figure?

Find the smallest value of a and b such that 3a = 2b?

The class size and frequency of modal class is

$$\begin{array}{ccccccc}Warrantyperiod\left(years\right)& 0-1& 1-2& 2-3& 3-4& 4-5& 5-6\\ Numberofcomponents& 6& 10& 16& 25& 16& 20\end{array}$$

A drain cover is made from a square metal plate of side 40 cm and has 336 holes of radius 1 cm each drilled in it. Find the area in ${\text{cm}}^2$ of the remaining square plate.
(Take $\pi$ =$\frac{22}{7}$)

A $△$ ABC where A (1, 2), B (4, 8) and C (6, 8) is reflected in the origin to $△$ $A_1{B}_1{C}_1$. $△$ $A_1{B}_1{C}_1$ is then reflected in the x - axis to $△$ A₂, B₂, C₂. Write down the coordinates of A₂, B₂, C₂. Which single transformation could have provided the final co-ordinate of A₂, B₂, C₂?

Two hollow spheres of different materials, one with double the radius and one-fourth wall thickness of the other, are filled with ice. If the times taken for complete melting of ice in the larger to the smaller one are in the ration of 25:16, then their corresponding thermal conductivities are in the ratio

In a certain AP the 24 term is twice the 8 term then prove that s72 is the twice the 34 term.

Prove that square root of 3+ square root of 5 is irrational

Ravi's brother is 3 years older than him. His father was 28 years of age when his sister was born while his mother was 26 years of age when he was born. If his sister was 4 years of age when his brother was born, what were the ages of Ravi's father and mother respectively when his brother was born?

Question 2
You know that $\frac{1}{7}=0.\overline{142587}$ .Can you predict the decimal expansion of $\frac{2}{7},\frac{3}{7},\frac{4}{7},\frac{5}{7},\frac{6}{7}$ without actually doing the long division? If so, how?

Find the area of a right-angled triangle with hypotenuse of length 91 cm and height 35 cm.

Which of the following expressions would you use to find the area of a trapezium?

A question was asked in a class:
”The points A(5, 5), B(4, 4) and C(3, 3) form what kind of a triangle?”
Unfortunately, no student could get it right.
What kind of triangle would the three points form?

Write bi-quadratic polynomial $x^4-16x^3+86x^2-176x+105$ as a product of two quadratic polynomial If one quadratic polynomial has roots 1 and 7.

The period of oscillation of a simple pendulum of length L suspended from the roof of a vehicle which moves without friction down in an inclined plane of inclination $\alpha ,$ is given by

Question 6
Derive the formula for the curved surface area and total surface area of the frustum of cone.

The distance between A (2, 4) and B (3, 8) is :

Which of the following represents an empirical relationship between Median, Mode and Mean?

$\frac{tan\theta }{(1-cot\theta )}+\frac{cot\theta }{(1-tan\theta )}=$ __________

For what value of $k,(4-k)x^2+(2k+4)x+(8k+1)=0$, is a perfect square.

The sum of the arithmetic sequence 5, 10, 15, 20 is

Determine the number nearest to 110000 but greater than 100000 which is exactly divisible by each of 8 15 and 21

$4^{th}$ term of an AP is equal to 3 times the first term and $7^{th}$ term exceeds twice the 3rd term by $1.$ Find the first term and the common difference.

If the interest charged for 8 months is 0.06 times of the money borrowed, then what is the rate of interest per year?

If alpha and beta are zero of p(x)=x²+x-1 then find alpha square beta+alpha beta square

In a right $△$ABC, a perpendicular BD is drawn on to the largest side from the opposite vertex. Which of the following does not give the ratio of the areas of $△$ABD and $△$ACB?

For universal set U, and sets A, B which are subsets of U, the following information is given.

n(U) = 36

n(A) = 12

n(B) = 10, n(A ∩ B) = 9

Then, the number of elements that are neither in A nor B is__

Find the remainder when $x^4+12x^3–5x^2+7x-200isdividedbyx–3.$

If (a- b) : (a+b) = 1 : 11, find the ratio (5a +4b +15) : (5a -4b +3).