Explore topic-wise InterviewSolutions in Current Affairs.

The cost of a car purchased 2 years ago, depreciates at the rate of $20\%$ every year. If its present worth is Rs.315600, find its value after 4 years of purchase.

For the equation, $x+3y=5$, $x$ in terms of $y$ can be written as____ and $y$ in terms of $x$ can be written as ______.

Question 49

If a tree 24 m high casts a shadow of 15 m, then the height of a pole that casts a shadow of 6 m under similar conditions is 9.6 m.

If two circles which pass through the points (0, a) and (0, -a) cut each other orthogonally and touch the straight line $y=mx+c$, then

Question 20

When two quantities x and y are in ___proportion or vary ___, they are written as $x\propto \frac{1}{y}$.

Find the volume of a cuboid of length 5 m, breadth 3.5 m and height 2.4 m. How much of volume should be added to this cuboid to make it into a cube with equal sides? Calculate the length of each side. [ 4 MARKS ]

A cylindrical rod of height 10 m and radius 7m is melted into 7 identical cylindrical pistons of radius 14m and height $\frac{5}{14}$m

Then,

(1) The volume of the cylindrical rod is equal to the sum of the volume of all 7 pistons .

(2) The total surface area of the cylindrical rod is equal to the sum of total surface area of the cylindrical piston.

The collection of all the points in a plane, which are at a fixed distance from a fixed point in the plane, is called:

What is the angle formed between the diagonals of a square?

In an election between two candidates, one, candidate secured 47% of votes polled and lost the election by 12,366 votes. Find the total votes polled and the votes secured by the winning candidate.

A polynomial
$P\left(x\right)=x^2+2x+3$
leaves a remainder of ___ when divided by $x–1$.

A principal of ₹ 50,000 is invested at the rate of 10% for 2 years in compound interest. Find the compound interest and the difference between C.I and S.I.

Question 1(i)
Find the value of:
(i) $2^6$

Question 109(ii)
Verify the property $x\times (y\times z)=(x\times y)\times z$ of rational numbers by using
$x=\frac{2}{3},y=\frac{-3}{7}$ and $z=\frac{1}{2}$
and what is the name of this property?

Question 110 (i)

A store is having a 25% discount sale. Sheela has a Rs.50 gift voucher and wants to use it to buy a board game marked for Rs.320. She is not sure how to calculate the concession she will get. The sales clerk has suggested two ways to calculate the amount payable. Method 1 Subtract Rs.50 from the price and take 25% off the resulting price. Method 2 Take 25% off the original price and then subtract Rs.50.
Do you think both the methods will give the same result? If not, predict which method will be beneficial for her.

Verify the following :

(i) $\frac{3}{7}\times (\frac{5}{6}+\frac{12}{13})=(\frac{3}{7}\times \frac{5}{6})+(\frac{3}{7}\times \frac{12}{13})$
(ii) $\frac{-15}{4}\times (\frac{3}{7}+\frac{-12}{5})=(\frac{-15}{4}\times \frac{3}{7})+(\frac{-15}{4}\times \frac{-12}{5})$
(iii) $(\frac{-8}{3}+\frac{-13}{12})\times \frac{5}{6}=(\frac{-8}{3}\times \frac{5}{6})+(\frac{-13}{12}\times \frac{5}{6})$
(iv) $\frac{-16}{7}\times (\frac{-8}{9}+\frac{-7}{6})=(\frac{-16}{7}\times \frac{-8}{9})+(\frac{-16}{7}\times \frac{-7}{6})$

Factorize $3\sqrt{3}{a}^3-b^3-5\sqrt{5}{c}^3-3\sqrt{15}abc$

Question 93

If the length of each edge of a cube is tripled, what will be the change in its volume?

Construct a quadrilateral PQRS in which PQ = 5 cm, QR = 6.5 cm, $\angle P=\angle R={100}^{\circ }$ and $\angle S={75}^{\circ }$.

Evaluate :
$\sqrt[3]{3\frac{125}{216}}$

Factorise : $x^2-(b-2)x-2b$

Solve :

$\frac{3(y-5)}{4}-4y=3-\frac{(y-3)}{2}$

Construct a quadrilateral PQRS, in which PQ=3.5 cm,QR=2.5 cm, RS=4.1 cm,$\angle Q={75}^{\circ }$ and $\angle R={120}^{\circ }$.

Solve :

5x + 7 = 2x - 8

Find the amount and compound interest on ₹ 1600 for 2 years at the rate of 5% per annum.

By using the formula, find the amount and compound interest on:

The value of a machine depreciates at the rate of $10\%$ per annum. It was purchased 3 years ago. If its present value is Rs 291600. for how much was it purchased ?

If $P\left(A\right)$ and $P\left(\overline{A}\right)$ are complementary events and $P\left(A\right)$ = 0.15, then $P\left(\overline{A}\right)$= ?

A worker is paid Rs. 210 for 6 days work.
If his total income of the month is Rs. 875, for how many days did he work ?

There are 30 students in a class. On independence day, different fruits that were distributed among the students (one for each student) are listed below

orange,apple,apple,apple,banana,orange

guava, guava, apple,guava,orange,mango

mango,mango,orange,guava,guava,mango

banana,banana,banana,orange,banana,mango

banana,banana,guava,guava,orange,guava

How many students got the fruit which is least in quantity?

Mukesh and Ramesh are partners sharing profits and losses in the ratio of 2 : 1 respectively. They admit Rupesh as partner with 1/4th share in profits with guarantee that his share of profit shall be at least Rs 55,000. The net profit of the firm for the year ending 31st March 2013 was Rs 1,60,000. Prepare Profit and Loss Appropriation Account.

Factorise:

$a^6-b^6$

Tickets numbered from 1 to 20 are mixed up together and then a ticket is drawn at random. What is the probability that the ticket has a number which is a multiple of 3 or 7?

A prism is the one which has congruent polygons on the opposite side and are connected with ____________.

Which among the following are prism?

Question 7

If a% is the discount per cent on marked price x, then discount is
(a) $\frac{x}{a}\times 100$
(b) $\frac{a}{x}\times 100$
(c) $x\times \frac{a}{100}$
(d) $\frac{100}{xa}$

The sum of the scores of the lower 3 teams of group B after the first round is.

Question 38

State whether the following statement is true (T) or false (F).

A and B are together 90 years old. Hence, the ages of A and B five years back would be (x-5) years and (85-x) years, respectively.

The curved surface area of a cylinder is $1320c{m}^2$ and its base has a radius of $10.5cm$. Find the height of cylinder.

If the difference between CI and SI on the sum of money for 2years is 1percent Of the sum of money. Find the rate of interest.

Simplify:

3(x - y) + 2(y - x)

All integers are rational numbers. Justify the statement

The equations 5x + 2y = 48 and 3x + 2y = 32 represent the money collected through sales from school concert tickets during two class periods. If x represents the cost for each adult ticket and y represents the cost for each student ticket, what is the cost for each adult ticket?

Question 2 (viii)
The following number is obviously not a perfect square. Give reasons.

505050

A point $(5,4)$ is translated through a distance of $5$ units along negative x - axis and then $4$ units along negative y - axis. What will be the image of the point in x - axis after these translations?