Explore topic-wise InterviewSolutions in Current Affairs.

Find each of the following products:

$(3y-8)\times (5y-1)$

Factorise :
$(x-2y{)}^2+4x-8y$

The ratio of the radius and height of a cylinder is $2:3$. If its volume is $12936c{m}^3$, find the total surface area of the cylinder.

Find the value of $\frac{\sqrt[3]{30.729}}{\sqrt[3]{30.027}}$ + $\frac{(4{)}^3}{\sqrt[3]{3512}}$

The parallel sides of an isosceles trapezium are in the ratio $2:3$. If its height is $8cm$ and area is $240c{m}^2$, then its perimeter is ____ cm.

Each side of a rhombus is 18 cm. If the distance between two parallel sides is 12 cm, find its area.

In quadrilateral ABCD, side AB is parallel to side DC. If $\angle A:\angle D=1:2and\angle C:\angle B=4:5$

(i) Calculate each angle of the quadrilateral.

(ii) Assign a special name to quadrilateral ABCD.

What does $2x-y$ equal if $x=-4$ and $y=5$?

Question 81

Complete the table given below by putting tick mark across the respective property found in the solids mentioned.
$\begin{array}{cccccc}& \text{Properties}& \text{Cone}& \text{Cylinder}& \text{Prism}& \text{Pyramid}\\ 1.& \text{The figure is a polyhedron.}& & & & \\ 2.& \text{The figure has diagonals.}& & & & \\ 3.& \text{The shape has curved edges.}& & & & \\ 4.& \text{The base of figure is a polygon.}& & & & \\ 5.& \text{The bases are congruent.}& & & & \\ 6.& \text{The base of figure is a polygon and other}& & & & \\ & \text{faces meet at a single point.}& & & & \\ 7.& \text{The base of figure is a curved edge and other}& & & & \\ & \text{faces meet at a single point.}& & & & \end{array}$

Which of the following statements are true ?
(i) If a number is divisible by 3, it must be divisible by 9.
(ii) If a number is divisible by 9, it must be divisible by 3.
(iii) If a number is divisible by 4, it must be divisible by 8.
(iv) If a number is divisible by 8, it must be divisible by 4.
(v) A number is divisible by 18, if it is divisible by both 3 and 6.
(vi) If a number is bivisible by both 9 and 10, ut nyst be divisible by 90.
(vii) If a number exactly divides the sum of two numbers, it must exactly divide the numbers separately.
(viii) If a number divides three numbers exactly, it must divede their sum exactly.
(ix) If two numbers are co-prime , at least one of them must be a prime number.
(x) The sum of two consecutive odd numbers is always divisible by 4.

Question 69

If the fifth class interval is 60-65 and fourth class interval is 55-60, then the first class interval is 45-50. ?

Find the area of the Figure in square cm,correct to one place of decimal. $(Take\pi =\frac{22}{7})$

Question 62

In the following question, state whether the statement is True (T) or False (F):

The product of two negative terms is a negative term.

Question 55

When two quantities are related in such a manner that if one increases and the other decreases, then they always vary inversely.

An item marked as ₹ 840 is sold at a discount of 15%. Find the selling price of the item.

Factorise by grouping method:

$16(a+b{)}^2-4a-4b$

If $3^a$ = $b^2$, find the minimum value of a + b

3(5z-7)-2(9z-11)=4(8z-13)-17

Solve this equation.

A monkey is trying to climb a mango tree which is 12 m high but as it is rainy season, the branches of the tree are very slippery. So, whenever it tries to climb 3 m , he slips behind by 1 m. How many jumps are required by monkey to climb at the top of the tree? [3 MARKS]

The mid-point of a class-interval is called?

In $2^n$, n is known as

A number is multiplied by 4 and 3 is subtracted from it, the result is 145. What is the number?

A car is moving at an average speed of $40\frac{2}{5}$ km/hr. How much distance will it cover km/hr. How much distance will it cover in $7\frac{1}{2}$ hours ?

$\text{Tick the correct answer in each of the following :}\text{8 cards are numberd as 1,2,3,4,5,6,7,8 respectively. They are kept in a box and mixed throughly. One card is chosen at random. What is the probability of getting a number less than 4 ?}\left(a\right)\frac{1}{2}\left(b\right)\frac{3}{4}\left(c\right)\frac{3}{8}\left(d\right)\frac{3}{5}$

Question 32

If the diagonals of a rhombus get doubled, then the area of the rhombus becomes ___ its original area.

In the given figure, AB is the chord to the circle having centre at O. If AC = CB and $\angle AOC={50}^{\circ }$, then find $\angle CAO$.

A number consists of two digits whose sum is 8.If 18 is added to the number its digits are reversed . Find the number??

Find the discount and the Selling price when -

Marked price = Rs 1750 and Discount percentage = 6%

Prepare a double column cash book with the help of the following information for December 2010.
$\begin{array}{ccc}& & \text{Rs.}\\ 1& \text{Started business with cash}& 1,20,000\\ 3& \text{Cash paid into bank}& 50,000\\ 5& \text{Purchased goods from Sushmita}& 20,000\\ 6& \text{Sold goods to Dinker and received a cheque}& 20,000\\ 10& \text{Paid to Sushmita cash}& 20,000\\ 14& \text{Cheque received on December 6,2010 deposited into bank}& \\ 18& \text{Sold goods to Rani}& 12,000\\ 20& \text{Cartage paid in cash}& 500\\ 22& \text{Received cash from Rani}& 12,000\\ 27& \text{Commission received}& 5,000\\ 30& \text{Drew cash for personal use}& 2,000\end{array}$

Among the two supplementary angles the measure of the larger angle is ${36}^{\circ }$ more than the measure of smaller. Find the measures of the angles.

At how many points does the straight line x + y = 2 intersects the circle |z - 2| = 2?

$-2(1-m^2)-4\{m^2-(2-m^2\left)\right\}$=______.

A suitcase with measures 80 CM x 48 CM X 24 cm is to be covered with trapaulin cloth how many metres of Trampauline of width 96 cm is required to cover 100 such suitcas

Find the area of a square whose side is 3 m .

A wire is in the shape of a rectangle of length 28 cm and breadth 12 cm, if the same wire is bent in the shape of a square then the perimeter of square is:

Question 115

A cylindrical tank has a radius of 154 cm. It is filled with water to a height of 3m. If water to a height of 4.5 m is poured into it, what will be the increase in the volume of water in kL?

For a rhombus, which of the following statement is correct?

The product of the monomials (2q¹²), (-3q²⁹) and (5q¹³) is

Write the quotient when the sum of 94 and 49 is divided by

(i) 11 (ii) 13

Question 1
Construct the Quadrilateral ABCD where
AB=4.5 cm, BC=5.5 cm, CD=4 cm,AD=6cm, AC=7 cm

Rs 2000 amounts to Rs 2226.05 in two years at compound interest. The rate of interest is ______ .