Explore topic-wise InterviewSolutions in Current Affairs.

In the given figure, if AB || CD then, the value of x is.

The marks obtained by 10 students in a class are as follows. What is the probability that the average mark obtained by a student in the class is less than 70?(in decimals)

$$\begin{array}{ccccc}Student& English& Hindi& Mathematics& Science\\ 1& 87& 78& 90& 89\\ 2& 90& 68& 76& 78\\ 3& 79& 68& 59& 61\\ 4& 71& 67& 79& 57\\ 5& 69& 91& 86& 76\\ 6& 87& 85& 67& 60\\ 7& 78& 90& 89& 93\\ 8& 92& 76& 88& 90\\ 9& 77& 81& 85& 86\\ 10& 86& 75& 93& 89\end{array}$$

A and B represent two fractions. The following information is known:

A < 1

B > 1

When A and B are multiplied, the result is a new fraction C.

Choose the correct option(s):

Question 68 (iii)

If $A=3x^2-4x+1,B=5x^2+3x-8$ and $C=4x^2-7x+3$, then find

A + B + C

Name the polygon with 3 edges.

What percentage of 50 is 20?

What is the integer obtained by adding the additive inverse of 16 to 32 times its multiplicative inverse?

$\text{In a triangle ABC, AB = 1, AC = 2 and}\angle A={60}^0,\text{its largest angle is equal to}$

The sum of any three consecutive number is multiple of ___

Subtract:

$ab-bc-ca$ from $-ab+bc+ca.$

x² - 2x + 3 - A = -3x² + 4x - 9, then A =

(a) Amit used to be on the playground $4\frac{1}{2}$ times as much as his brother. Now he cut down $1\frac{1}{3}$ of the time he used to be on the playground as much as his brother. How much time does he spend on the playground when compared to his brother?

(b) The sum of two rational numbers is $\frac{-5}{8}$. If one of the numbers is $\frac{-6}{11}$, find the other number.

(c) Find x such that $\frac{-3}{8}$ and $\frac{x}{-24}$ are equivalent fractions.
[3 MARKS]

You have to buy a pair of running shoes. You have 3 brands: Ruma, Peebok and Abibas. You go online and search for reviews of different brands. There you saw that on the basis of stars, brands are rated. More stars imply better rating. Which brand has the highest average rating?

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State, true or false :
$\left(i\right)\frac{7}{9}=\frac{7+5}{9+5}\left(ii\right)\frac{7}{9}=\frac{7-5}{9-5}\left(iii\right)\frac{7}{9}=\frac{7\times 5}{9\times 5}\left(iv\right)\frac{7}{9}=\frac{7÷5}{9÷5}\left(v\right)\frac{-5}{-12}\text{is a negative rational number}\left(vi\right)\frac{-13}{25}\text{is smaller than}\frac{-25}{13}.$

Two adjacent sides of a parallelogram are 51cm and 37cm. One of its diagonals is 20cm, then its area is _____.

If $3\frac{p}{q}=\frac{11}{3}$, where $3\frac{p}{q}$ is a mixed fraction in which 3 is the whole number part and $\frac{p}{q}$ is the fractional part, then the value of $\frac{p}{q}$ is:

Which of the following pairs of figures are congruent?

Rahul had a balance of ₹ -2 in his phone (He took a loan of 2 rupees from the network service provider). It is going to cost him 4 rupees to speak to his mother.

What will be the total loan taken by him if he speaks with his mother?

An aeroplane leaves an airport and flies due north at a speed of 1,000 km per hour. At the same time, another aeroplane leaves the same airport and flies due west at a speed of 1,200 km per hour. How far apart will the two planes be after $1\frac{1}{2}$ hours?

If it is agreed that the capital of all the partners should proportionate to the new profit sharing ratio, how will you work out the new capital of each partner? Give examples and state how necessary adjustments will be made.

Question 67
State whether the statement is True or False.
An equilateral triangle has six lines of symmetry.

Find out the numbers of rational number skipped by the frog. [1 MARK]

If $\angle A$ and $\angle B$ are equal and supplementary to each other, then find the values of $\angle A$ and $\angle B$.

Find the value of $\frac{(383.08{)}^2-(303.08{)}^2}{686.16}$.

If we draw a median AD in ∆ABC, are the altitudes of ∆ADB and ∆ADC equal in length? Justify. [2 MARKS]

A student was given the following details while constructing a triangle ABC:

The length of the base of the triangle BC, one of the base angles say $\angle$ B and the sum of the other two sides of the triangle (AB+AC)

He went about the construction of this triangle by first drawing the base of the triangle BC. He then drew an angle at the point B equal to the given angle on a ray that he drew. After completing these steps, he got stuck and doesn’t know what to do next. Which of the following steps will he take up next?

Which of the following net diagrams can be used for the above-shown cone?

Predecessor of $-9$ is:

The reflection of the point Q (8,7) in the x-axis is ___ .

Sohail cycles on a circular track in an anticlockwise direction as shown in the figure. He travels with a speed ‘V’ to cover the path AB, next with speed ‘2V’ from B to C and with a speed of ‘3V’ from C to A. What is his average speed for the total journey?

1 shirt can be made using 5.3 metres of cloth. How many shirts can be made from 47.7 metres of cloth?

If I sell $\frac{4}{5}$ of 10 apples, how many are left?

Question 23

Statements (I) and (II) are as given below:
I: If two lines intersect, then the vertically opposite angles are equal.
II: If a transversal intersects two other lines, then the sum of two interior angles on the same side of the transversal is ${180}^{\circ }$.

Then,
(a) both (I) and (II) are true
(b) (I) is true and (II) is false
(c) (I) is false and (II) is true
(d) both (I) and (II) are false

Question 34

The measures of $\angle x$ and $\angle y$ in the given figure are respectively.

a) ${30}^{\circ },{60}^{\circ }$
b) ${40}^{\circ },{40}^{\circ }$
c) ${70}^{\circ },{70}^{\circ }$
d) ${70}^{\circ },{60}^{\circ }$

Question 69
State whether the statement is True or False.
In an oblique sketch of the solid, the measurements are kept proportional.

Question 68
State whether the statement is True or False.
Order of rotational of a semicircle is two.

Mr. Thomas invested an amount of Rs. 13,900 divided into two different schemes A and B at the simple interest rate of $14\%$ p.a. and $11\%$ p.a. respectively. If the total amount of simple interest earned in 2 years be Rs. 3508, what was the amount invested in scheme B?

Ted was now curious to find the largest number. He asked $1$, “Who is the largest number here?” $1$ replied, “I don’t know, ask $2$.”
Ted went to $2$ who told him to ask $3$. Similarly, every number asked Ted to ask the next greater number. After asking a lot of numbers he realized:

If A = {x: x is prime number}, then which of the following can be the Universal set of A?

$$\begin{array}{cccccc}Quantity\left(InKg\right)/Price& 1& 2& 3& 4& 5\\ Gummybear& 20& 40& 60& 80& 100\\ Candies& 30& 60& 90& 120& 150\\ Chocolates& 50& 100& 150& 200& 250\end{array}$$

According to the information given, what is the total price of 6 kg of all the items?

In the bar graph shown here, the ratio of 'Exchange-traded funds (Commodity)' to 'Exchange-traded funds (Fixed Income)' was highest for which of the following years?

?

how to

Solve the following equations.

1. 4 = 5(p – 2) (b) – 4 = 5(p – 2) (c) –16 = –5 (2 – p

State true or false

There can be ratios in decimal or not

Edward has a shinning star as shown below. What is the total number of lines of symmetry in this star?

The selling price of $15$ pens is equal to the cost price of $12$ pens. what is the loss percentage?