Explore topic-wise InterviewSolutions in Current Affairs.

Question 20

$-16÷4$ is not same as

(a) $(-4)÷16$
(b) $-(16÷4)$
(c) $16÷(-4)$
(d) -4

A boat at anchor is mocked by waves whose crests are 100 m apart and velocity is
25 m/sec. The boat bounces up once in every _________ seconds.

What is the maximum possible number of obtuse angles in a triangle? Justify your answer. [3 MARKS]

Question 78 (i)

IF a and b vary inversely to each other, then find the values of p,q,r

The value of $\sqrt{99}\times \sqrt{396}$ is:

A square garden measures y feet on each side. If the length of the garden is increased three times and the width is increased by 6 feet, then what will be the increase in the area?

If one angle of a triangle is greater than the sum of other two so that the triangle is obtuse angle triangle

ABC Ltd., is in the business of manufacturing rubber products. It decided to install RO water System for providing clean and hygienic drinking water to its employees. It named the project as 'Employees Healthcare'. It purchased RO water machines from XYZ Ltd., for Rs 11,00,000. It was agreed that purchase consideration be paid by issuing 10$\%$ debentures of Rs 100 each (i) at a premium of 10$\%$, (ii) at par. Pass necessary Journal entries.

In triangle ABC, D is a point on side BC such that 2BD = 3DC. Which of the following option is correct?

Give an example of a pythagorean triplet?

$If{x}^2+y^2=14andxy=3,findthevalueof2{(x+y)}^2-5{(x-y)}^2$.

A goldsmith can choose between 3 metals A, B or C to make an artefact. He has 2 sheets of A, 3 sheets of B, 1 sheet of C and selected 1 sheet at random. What is the probability that he chooses C?

How many non-perfect square numbers lie between squares of the following numbers:

A) 14and15

B) 90 and 91

Product of $\frac{7}{6}$ and reciprocal of $\frac{11}{66}$ is

Find the common factors of the following:

$\left(i\right)6abc,24a{b}^2,12a^{2}b$

$\left(ii\right)16x^3,-4x^2,32x$ [2 MARKS]

Question 60

Solve the following:

4t-3-(3t+1)=5t-4

The number of hours, spent by a school boy on different activities in a working day, is given below :
$\begin{array}{ccccccc}\text{Activities}& \text{Sleep}& \text{School}& \text{Home}& \text{Play}& \text{Others}& \text{Total}\\ \text{Number of hours}& 8& 7& 4& 2& 3& 24\end{array}$
Present the information in the form of a pie-chart.

Factorise:
$x^2-23x+42$

In the adjacent figure HOPE is a parallelogram. Find the angle measures x, y and z. State the geometrical truths you use to find them.

A labourer is engaged for 20 days on the condition that he will receive Rs 60 for each day, he works and he will be fined Rs 5 for each day, he is absent. If he receives Rs 745 in all, for how many days he remained absent ?

1. 8

The area of a square is $8c{m}^2$. What is the nature of its perimeter?

The dimensions of a room are 9m × 8m × 6.5m. It has one door of dimensions 2m×1.5m and two windows each of dimensions 1.5m×1m. Find the cost of white washing the walls at Rs. 6.40 per $m^2$ is

Match the following.

Fill in the blank.

$$\begin{array}{ccccc}\text{x}& 100& 75& 50& 25\\ \text{y}& 60& 80& & 240\end{array}$$

Factorize 15pq + 15 + 9q + 25p [2 Marks]

Question 86 (ix)

Using suitable identities, evaluate the following:

$105\times 95$

State, whether the following pairs of sets are equal or not:

(i) A=$\{2,4,6,8\}$ and $B=\{2n:n\in Nandn<5\}$

(ii) $M=\{x:x\in Wandx+3<8\}andN=\{y:y=2n-1,n\in Nandn<5\}$

(iii) $E=\{x:x^2+8x-9=0\}andF=\{1,-9\}$

(iv) $A=\{x:x\in ,x<3\}andB=\{y:y^2-3y+2=0\}$ Two sets are equal, if both the sets have same (identical) elements.

Evaluate: (3z + 4)(3z + 4)

A circular well with a diameter of 2 metres,is dug to a depth of 14 metres. What is the volume of the earth dug out?

(a) $32m^3$

(b) $36m^3$

(c) $40m^3$

(d) $44m^3$

The square 105 is equal to

The difference between the Simple interest received from two different banks on Rs 2000 for 2 years is Rs 30 ,difference between their rates of interest is???

If 5 persons can do a work in 10 days, then 10 people can complete the same amount of work in ____days.

If a line is making an angle of ${30}^{\circ }$ measured in anti-clockwise direction with the horizontal, what will be the angle formed by its image in a vertical line measured in anti-clockwise direction with the horizontal?

The population of a place increased to 54,000 in 2003 at a rate of 5% per annum. Find the population in 2001 (approx)

Aman has 729 coins. He gives a part of these coins to his cousin as his birthday gift. This part is equal to the square root of 729. How many coins did he give?

Draw a line AB = 6 cm. Mark a point P any where outside the line AB. Through the point P, construct a line parallel to AB.

Consider a seating plan of students in an auditorium. Push all the seats together and represent each seat with a square. Each square describe the position of each student with two independent information

a) The row in which he/she sits.

b) The column in which he/she sits.

Now, if the student 'A' is sitting in the third row and the fifth column, find the position of his friend sitting two columns away(to A's right-hand side).

Shalini borrowed ₹ 35,000 at a simple interest rate 8.5 % per annum. How much money will she pay at the end of 4 years to clear her debt?

Question 81 (i)

Add :

$7a^{2}bc,-3ab{c}^2,3a^{2}bc,2ab{c}^2$

Two adjacent angles of a parallelogram are $(2x+25{)}^{\circ }and(3x-5{)}^{\circ }$. The value of x is

(a) 28 (b) 32 (c) 36 (d) 42

Prepare a frequency table of the following scores obtained by 50 students in a test:

42, 51, 21, 42, 37, 37, 42, 49, 38, 52, 7, 33, 17,

44, 39, 7, 14, 27, 39, 42, 42, 62, 37, 39, 67, 51,

53, 53, 59, 41, 29, 38, 27, 31, 54, 19, 53, 51, 22,

61, 42, 39, 59, 47, 33, 34, 16, 37, 57, 43

Which of the following equation(s) is a linear equation in one variable?