Explore topic-wise InterviewSolutions in .

Ted returned home. When he finished his ride, the bill came along with a map showing roughly the path taken by him and the distance covered as shown in the figure. What is the perimeter of the path taken now?

Question 67 (d)

Find the value of the given polynomial at m = 1, n = -1 and p = 2

mn + np + pm

Choose the orientation of mirror in room 1 in order to redirect the incoming light to room 2?

Which of these objects does not have a flat surface?

Read the sentence and identify the masculine gender noun from the options.

My brother, my friend and I made our way through the crowd to the candy store.

Question 1 (xii)

Find the square roots of each of the following numbers by Division method:

900

The variable cost of producing an item is estimated to be $20\%$ of the total revenue. If the selling cost of the item is $\text{Rs.}8$ per unit, then the revenue function and variable cost respectively is



[2 marks]

Frank paid the interest on the loan he bought 10 years ago is $\$4500$ at a simple interest rate of 15%. What is the amount he borrowed?

A ray $OB$ rotates ${48.58}^{\circ }$ in counterclockwise direction with respect to another ray $OA$ and then ${157.32}^{\circ }$ in the clockwise direction. The final angle between the rays $OA\&OB$ is(in degrees minutes and seconds)

Find the sum of the rational numbers
$\frac{-7}{19}and\frac{-2}{57}.$

1. Isosceles triangle


2. Right triangle


3. Scalene triangle


4. Acute triangle


5. Equilateral triangle


6. Obtuse triangle


7. Isosceles Right triangle


8. Isosceles Obutuse triangle

1. 8

Question 12

'Variable' means that it

(a) can take different values

(b) has a fixed value

(c) can take only 2 values

(d) can take only three values

Question 162

Neha needs to stretch some sticks to ${25}^2$ times of their original lengths, but her $(\times 25)$ machine is broken. find a hook-up of two repeater machines that will do the same work as a $(\times {25}^2)$ machine. To get started, think about the hook-up you could use to replace the $(\times 25)$ machine.

Question 178(iv)

If a = -1, b = 2, then find the value of the following.

$a^b÷b^a$

In the following pair of integers, which number is to the right of the other on the number line?

–3, –8

By selling a watch for Rs 720, Ravi loses 10%. At what price should he sell it, in order to gain 15%?

Fill in the blanks with appropriate numbers:

(1)

(2)

(3)

$a{x}^2+2hxy+b{y}^2=0$ always represents a pair of straight lines passing through the origin. If
$\begin{array}{cc}\text{Column 1}& \text{Column 2}\\ \text{a.}{h}^2>ab& \text{1. Lines are coincident}\\ \text{b.}{h}^2=ab& \text{2. Lines are real and distinct}\\ \text{c.}{h}^2<ab\text{3. Lines are imaginary with real point of intersection i.e. (0,0)}& \end{array}$

$$\begin{array}{cc}Colours& No.ofpeople\\ Blue& 18\\ Green& 9\\ Red& 6\\ Yellow& 3\\ Total& 36\end{array}$$

Draw a pie chart showing the given information. The table shows the colours preferred by a group of people. Calculate the respective proportion of each colour and use that proportion to find the central angle. What is the percentage of the colour red?

Question 2

The distance (in km) of 40 engineers from their residence to their place of work were found as follows:

$\begin{array}{cccccccccc}5& 3& 10& 20& 25& 11& 13& 7& 12& 31\\ 19& 10& 12& 17& 18& 11& 31& 17& 16& 2\\ 7& 9& 7& 8& 3& 5& 12& 15& 18& 3\\ 12& 14& 2& 9& 6& 15& 15& 7& 6& 12\end{array}$

Construct a grouped frequency distribution table with class size 5 for the data given above taking the first interval as 0-5 (5 not included). What main feature do you observe from this tabular representation?

Multiply:

(1)

(2)

(3)

(4)

(5)

(6)

(7)

(8)

(9)

(10)

(11)

(12)

This how I answered, is it right method?

Cp=375

Loss percentage= 10%

Sp= x

X/375= 10/100

100-10=90

375×90/100= 337.5

X= 3375.5

Question 90

State whether the statement is True or False.

Two acute angles are congruent.

The order of rotational symmetry of wall clock is

What is the quotient, when a non-zero rational number is divided by its additive inverse?

If two straight lines intersect then

There are 5 doors. 3 of them are open. How many are closed?

Select the right equation?

1. 190

A ration shop distributed 10,000 kilograms of rice to 500 people. Represent this using a tree diagram.

Question 79

State whether the statement is True or False.

It is possible to have a triangle in which two of the angles are obtuse.

In a two digit number, ten’s digit is twice the unit’s digit. The number formed by interchanging the digits is 36 less than the original number. Find the number.

Cost of 25 balloons is ₹ 131.25. Find the cost of 10 balloons.

If the present petrol price is Rs.50, then what is the new price (in Rupees) when:

i) there is an increase in 20% on the original price?

ii) there is a decrease in 10% on the original price?

What is the value of 2³?

Question 10(ii)
A water tank has steps inside it. A monkey is sitting on the topmost step (i.e., the first step). The water level is at the ninth step.

(ii) After drinking water, he wants to go back. For this, he jumps 4 steps up and then jumps back 2 steps down in every move. In how many jumps will it reach back the top step?