Explore topic-wise InterviewSolutions in Current Affairs.

Evaluate:
$[64{]}^{\frac{2}{3}}$

A number is divided by 5 and 7 is subtracted from it, the result is 17 . What is the number?

On the following number line, $(-4)\times 3$ is represented by the point ___ .

If 15 men can finish a job in 48 hours, how many men will be required to do the same job in 30 hours?

Question 1(ii)
Find the cube root of each of the following numbers by prime factorization method:
512

The organizers of essay competition decides the winner in the competition get a prize of rupees hundred and a participant who does not win get a prize of rupees 25 the total prize money distributed is 3000 rupees find the number of winners if the total participants is 63

The cost of painting the inner curved surface area of a cylindrical container of depth 20 m is Rs. 8800. If a painter takes Rs. 40 per metre square to paint the cylindrical container, find the inner curved surface area of the vessel.(in $m^2$)

Consider the figure:

Find the value of x + y + $\angle$ACB.

___

The sum of two rational numbers is -8. If one of the numbers is -13/7, find the other......

This one too..pls

A number is $56$ greater than the average of its one-third, one-quarter, and one-twelfth. Find the number.

A positive number is 5 times another number. If 21 is added to both the numbers, then one of the new numbers becomes the other new number. What are the numbers?

The present ages of A and B are in ratio of 9:4. Seven years hence the ratio of their ages will be 5:3. Find their present ages.

Divide 80 into two parts ,so that the greater part is 4 times the smaller

Fill in the blanks

The product of a number and it's product is _____________________.

The reciprocal of the reciprocal of a number is _______________________.

For a rhombus, the centre of rotation is the point of intersection of ___________.

Simplify:

a(a – b) + b(a - 2b)

A man borrows Rs.10,000 at 10% compound interest compounded yearly. At the end of each year, he pays back 20% of the amount for thaty year. How much money is left unpaid just after the second year?

Question 86(iii)

A die is rolled once. What is the probability that the number on top will be a multiple of 3 ?

Sunil invested Rs 5,000 for 3 years at a certain rate of interest compounded annually, which at the end of first year amounts to Rs 5,600. The rate of interest p.a. is

There are 86,400 seconds in a day. How many days long is a second? Express your answer in scientific notation upto 3 decimal places.

Observe the given rectangle

How many minimum extra rows or columns, we need to remove to make it a square.

If the side of a cube is equal to the radius and height of a cylinder then the ratio of their volume is:

Factorise :

$\left(i\right)a^2-23a+42.\left(ii\right)a^2-23a-108\left(iii\right)1-18x-63x^2\left(iv\right)5x^2-4xy-12y^2\left(v\right)x(3x+14)+8\left(vi\right)5-4x(1+3x)\left(vii\right)x^2{y}^2-3xy-40\left(viii\right)(3x-2y{)}^2-5(3x-2y)-24(ix\left)12\right(a+b{)}^2-(a+b)-35$

A number of the form $\frac{p}{q}$ is said to be a rational number if ___ .

Observe the pattern given below:
3, 9, 19, 33...
The algebraic expression for $n^{th}$ term of the pattern is .

In a pentagon, two angles are ${40}^{o}and{60}^o$, and the rest are in the ratio 1 : 3 : 7. Find the biggest angle of the pentagon.

A car travelled 60 km towards the north direction from a point A. From there, it travelled 120 km in the south direction. How far is the car from point A now?

A book has pages numbered from 1 to 100. If a page is chosen at random, what is the probability that the number of the page is divisible by 9?

An octagon is made up of ______ sides.

Question 6(vii)
Simplify:
(vii) $2^4\times 3^2$

Question 93 (i)

The following expression is the area of a rectangle. Find the possible length and breadth of the rectangle.

$x^2-6x+8$

Question 72
State whether the statement is True or False.
All the faces, except the base of a square pyramid, are triangular.

AE $\parallel$ BC and D is the mid-point of BC. If area ( $△$ABC) = 84 square cm, what is area of $△$BED?

Factorise :

$(2a+3b{)}^2-16c^2$

$\text{A dealer purchased a fan for Rs.1080.After allowing a discount of}25\%\text{on its marked price, he gains}25\%.\text{Find the marked price of the fan.}$

A cistern can be filled by one tap in $8$ hours, and by another in $4$ hours. How long will it take to fill the cistern if both taps are opened together?

Sharuti bought a set of cosmetic items for Rs. 345 including $15\%$ value added tax and a purse for Rs. 110 including $10\%$ VAT. What percent is the VAT charged on the whole transactions?

Find $4\frac{1}{2}\%ofRs.3600.$

The following geometrical shapes are made up of paper. ___ required less paper and ___ has more volume.

Question 1 (ii)
Find the square roots of each of the following numbers by Division method:

4489

Find each of the following products:

$(x^2-y^2)\times (x+2y)$

Find the cube root of 13824. ___