Explore topic-wise InterviewSolutions in Current Affairs.

___ is the measure of distance of the boundary of a planar object.

Question 56

Fill in the blanks to make the statement true.

An angle which is half of its supplement is of ___

(a) Construct a right-angled triangle with hypotenuse 7.6 cm and one of the sides 5.2 cm.

(b) Construct ΔABC, where AB = 6 cm, BC = 7 cm and CA = 9 cm. Is it a right angled triangle? [4 MARKS]

The table given below shows the number of votes cast by men and women in some of the polling booths of Mumbai. Select the bar graph that reflects the correct data from the options given below:

A circle centered at O and of radius 3 cm is divided into six equal parts as shown in the figure below.

If A is joined to C, C is joined to E and E is joined to A, then the 2D shape so obtained is ________.

The point of intersection of the lines $\overrightarrow{r}\times \overrightarrow{a}=\overrightarrow{b}\times \overrightarrow{a}$ and $\overrightarrow{r}\times \overrightarrow{b}=\overrightarrow{a}\times \overrightarrow{b}$ is

A rope is (8a – b) metres long. A length of (3a + b) is cut out of it. How much rope is left?

What is the central angle corresponding to the number of watches (sports watches & luxury watches) sold by store B?

What is the path that must be taken to reach a specific place called?

If volume of an utensil is $200c{m}^3$, then find its weight, given, density of the material it is made of is $7.56g/c{m}^3$

Q13. In a cricket match, Ali scores a total of 240 runs only by hitting fours and sixes. If the contribution of sixes in his total score is equal to the contribution of fours, then what is the number of sixes hit by Ali?

एक क्रिकेट मैच में, अली केवल चौके और छक्कों से कुल 240 रन स्कोर करता है। यदि उसके कुल स्कोर में छक्कों से बनाए रन, चौकों से बनाए गए रनों के बराबर हैं, तब अली द्वारा लगाए गए छक्कों की संख्या कितनी है?

Question 9

If $2^{1998}-2^{1997}-2^{1996}+2^{1995}=k{.2}^{1995},$ then the value of $k$ is
(a) 1
(b) 2
(c) 3
(d) 4

Question 2 (j)

Using divisibility test, determine whether the given number is divisible by 4; by 8:
2150

Question 80

The rate of planting the grass is Rs. x per square metre. Find the cost of planting the grass on a triangular lawn whose base is y metres and height is z metres.

Write the coefficient of $x^2$ in the following:

$x^2-x+4$

Question 83

State whether the statement is True or False.

It is possible to have a triangle in which each angle is equal to ${60}^{\circ }$

Question 42

If for $\Delta ABC$ and $\Delta DEF$, the correspondence $CAB\leftrightarrow EDF$ gives a congruence, then which of the following is not true?

a) AC = DE
b) AB = EF
c) $\angle A=\angle D$
d) $\angle C=\angle E$

Question 82(ii)
In a public library, the following observations were recorded by the librarian in a particular week.
$\begin{array}{ccccccc}& & & & & & \\ \text{Days}& \text{Mon}& \text{Tue}& \text{Wed}& \text{Thur}& \text{Fri}& \text{Sat}\\ \text{Newspaper readers}& 400& 600& 350& 550& 500& 350\\ \text{Magazine readers}& 150& 100& 200& 300& 250& 200\end{array}$
On which day, the number of readers in the library was maximum?

$Evaluate:997\times 998=$ ___.

Express 472 as a power of its prime factor. [1 MARK]

Given a man is walking in a circular park , in one revolution he completes 314 m . If there is a man in the opposite end of the diameter which is drawn from the point where the man is standing . Find the minimum distance he has to walk to meet his friend who is sitting on the described point ? [3 MARKS]

Find the digit at the Thousandths place in the number 562.3254.

Question 22

In the given figure,$\angle ROS$ is a right angle and $\angle POR$ and $\angle QOS$ are in the ratio 1:5. Then, $\angle QOS$ measures

(a) ${150}^{\circ }$
(b) ${75}^{\circ }$
(c) ${45}^{\circ }$
(d) ${60}^{\circ }$

The $n^{th}$ term of the pattern 2, 5, 10, 17..... is ______.

Enter the following transaction in sales (journal) books of M/s Bansal electronics for the month of september.

1- Sold to Amit Traders as per bill no 4321
20 Pocket Radio 70 per Radio
2 TV set B & W (6") 800 per TV
10- Sold to Arun Electronics as per bill no 4351
5 TV sets (20")B & W Rs. 3,000 per TV
2 TV sets (21") Colour 4,800 per TV

22- Sold to Handa Electronics as per bill no 4399
10 Tape recorders 600 each
5 Walkman Rs. 300 each

28- Sold to Harish Trader as per bill no 4430
10 Mixer Juicer Grinder Rs. 800 each

Find the values of a and b if 7+3√5/3+√5 - 7-3√5/3-√5 = a+b√5

You go to Pizza Hut along with two of your friends and order one large pizza. If you all eat equally, then what will be the share for each person?

Write all the properties of congruence of triangle with their examples?

1. 10

Question 95 (i)

Critical Thinking:

Write two different algebraic expressions for the word phrase "$\left(\frac{1}{4}\right)$ of the sum of x and 7".

Four corners of the square of the area $15c{m}^2$ are folded as shown in the first two figures. It is unfolded and cut along the creases to get a new square. The area of the new square is

Class mark of a class is obtained by using

One litre of water at 20©is mixed with 1 litre of 40©.The temperature of the mixture will be :

a) 80©

b) 20©

c)More than 40©but less than 70©

d) Between 20©and 40©

$\begin{array}{ccc}\text{First trip}& \text{Second trip}& \text{Final position}\\ \text{5 metres right}& \text{3 metres right}& \text{8 metres right}\\ \text{3 metres right}& \text{5 metres right}& \text{a}\\ \text{5 metres right}& \text{3 metres left}& \text{2 metres right}\\ \text{3 metres left}& \text{5 metres right}& \text{b}\\ \text{5 metres left}& \text{3 metres right}& \text{c}\end{array}$

Arul starts from a point, travelling some distance in one direction and then, some more distance along the same or opposite direction. Find the final position with respect to the starting points in cases of (a), (b) and (c). Select the statements that are true.

Find the number which when multiplied by 7is increased by78.

If 3A = 6B = 8C, then what is A : B : C ?

The value of 'x' satisfying the equation $x-\frac{7}{5}=\frac{13}{5}$ is___

A cone cut along it's curved surface and unfolded takes the shape of a _________.

1. 784