Explore topic-wise InterviewSolutions in Current Affairs.

In a $△$ABC, the sides AB and AC have been produced to D and E. Bisectors of $\angle$CBD and $\angle$BCE meet at O. If $\angle$A = ${64}^{\circ }$, then $\angle$BOC is:

Question 6 (i)
In the given figures below, decide whether l is parallel to m.

A father is $30$ years older than his son. In $12$ years, the man will be three times as old as his son. Find their current ages.

Multiply 5 by 107.2 and round the result to the nearest ten.

What do you mean by prime factorization?

Following transactions are of M/s. Vinod Kumar & Sons for the month of April, 2014. Prepare their Purchases Book:

April 5 Purchase on credit from M/s. Birla Mills:

100 pieces long cloth Rs.80

50 pieces shirting Rs.100

April 8 Purchased for cash from M/s. Ambika Mills:

50 pieces muslin Rs.120

April 15 Purchased on credit from M/s. Arvind Mills:

20 pieces coating Rs.1,000

10 pieces shirting Rs.90

April 20 Purchase on credit from M/s. Bharat Typewriters Ltd:

5 typewriters Rs.1,400 each

Suppose there is a two digit number , whose tens digit is three times its ones digit. If its digits are reversed and this new number is added to 36 , then we get the original number. Find the original number.

Which of the following has both horizontal as well as vertical lines of symmetry?

In the below figure the shaded region, I and II are respectively _____________________.

What will be the next expression in the following series:

3x+y, 5x+2y, 7x+3y, _______

Two numbers A and B are such that the sum of 8% of A and 6% of B is two-fifth of the sum of 10% of A and 20% of B. Find the ratio of A : B.

Question 4 (i)
Which of the following can be the sides of a right triangle?
2.5 cm, 6.5 cm, 6cm
In the case of right angled triangles, identify the right angles.

A rational number 𝑎/𝑏 is greater than 𝑐/𝑑 if (for all positive 𝑎,𝑏,𝑐,𝑑)

A person sells one more than half of the number of the total oranges to the first customer,one more than the one third of remaining oranges to the second customer and one more than one fifth of the remaining oranges to the third customer .at last he finds three oranges are left with him .the total number of oranges he has initially is .........

The value of expressions $(3.5{)}^2\times (0.2{)}^2$ is equal to

In the following questions two equations I and II are given. You have to solve both the equations and give answer.

I. 2a + 3b = 31

II. 3a – 2b = 1

Simplify and write in exponential form:
$3^3\times 3^{-2}\times {27}^2$

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, the area of the square would be

The multiplicative identity of integer is

There are 5 green, 6 black and 7 white balls in a bag. A ball is drawn at random from the bag. Find the probability that it is not white.

Question 81
State whether the statement is True or False.
Two-dimensional figures are also called plane figures.

Solve

$7m+\frac{19}{2}=13$

In a right-angled triangle, the length of the largest side is 10cm and of another side is 8cm. What will be the length of the remaining side?

Simplify $(xy+yz{)}^2-2x^2{y}^{2}z.$
Find the value when $x=-1,y=1$ and $z=2$.

In the given diagram, $\angle$XOB and $\angle$OO'Q are called ________.

The image of the point (-2,-8) when reflected in the x axis is

Reflex angle of 90^o is:

A car travels 60 km at 30km/h and then a further 180 km at 60 km/h. Find:

(a) The total time taken.

(b) The average speed of the whole journey.

Which of the following unchanging relation is correct ?

There is a box of chocolates. You started counting them as 1,2,3....... The set of numbers obtained thus, are known as

How many significant figures are there in 050, 0.0, 0.000 and 5.00?

A frog stands on a point and makes two jumps every hour. Two points are separated at a distance of 1m. How much distance will the frog cover in one day?

Question 64

In questions 60 to 79, state whether the statements are True or False.
The simple interest on a sum of Rs. P for T yr at R % per annum is given by the formula
Simple Interest $=\frac{T\times P\times R}{100}$

Which of the following expressions represents odd numbers ?

Question 55

State whether the given statement is True or False.

Sum of two rational numbers is always a rational number.

Question 35

If the length of two sides of a triangle are 6 cm and 10 cm, then the length of the third side can be

a) 3 cm
b) 4 cm
c) 2 cm
d) 6 cm

Question 106

State whether the statement is True or False.

In the given figure, $AD\perp BC$ and AD is the bisector of angle BAC. Then, $\Delta ABD\cong \Delta ACD$ by RHS.

Question 2 (b)

What is the HCF of two consecutive even numbers?

Question 80 (b)

Express each of following as a product of powers of their prime factors.
2025

An army base has some soldiers, such that when they stand in rows and columns they form a square. More soldiers were added to the camp and now the number of rows and columns increased by 1. If there are 676 soldiers now, how many soldiers were added?

How is the decimal number 9.654 read ?

Question 84 (f)

Simplify and express each of the following in exponential form.
$(5^{15}÷5^{10})\times 5^5$

The bisection of an angle yields the same angle as of an equilateral triangle. What is the value of the angle in degrees?
__

A man wants to cover his floor with carpet which costs Rs100 per square meters. His floor is in the form of a square which has a perimeter of 24 meters. What will be the cost of carpeting the floor? [4 MARKS]