Explore topic-wise InterviewSolutions in Current Affairs.

Four alternative options are given for each of the following statements. Select the correct option.

For given two values of x, 16, 18 the frequencies are respectively 12 and 20. Then the mode is:

A. 16

B. 18

C. 12

D. 20

Identify the graph representing indirect variation.

Arrange the numbers in ascending order $\frac{6}{4},\frac{2}{3},\frac{6}{8},\frac{7}{5},\frac{9}{2}.$

In a cow farm, the ratio of the number of cows which give milk to the number of cows which don’t is 8 : 3. The number of cows which don’t give milk is 144. How many cows do given milk? And how many cows are there in all?

The value(s) of $x$ for which $\left[\frac{1}{2}\right]+[\frac{1}{2}+\frac{1}{20}]+[\frac{1}{2}+\frac{2}{20}]+[\frac{1}{2}+\frac{3}{20}]+\cdots +[\frac{1}{2}+\frac{19}{20}]=x^2-8x+1$ is/are

(where $[.]$ is greatest integer function)

At 12% discount, the selling price of a pen is Rs. 13.20. Find its marked price. Also, find the new selling price of the pen, if it is sold at 5% discount.

कभी-कभी ज़िद्दी बन करके

बाढ़ नदी-नालों में लाते

(क) बादल नदी-नालों में बाढ़ कैसे लाते होंगे?

नहीं किसी की सुनते कुछ भी

ढोलक-ढोल बजाते बादल

(ख) बादल ढोल कैसे बजाते होंगे?

कुछ तो लगते हैं तूफ़ानी

कुछ रह-रह करते शैतानी

(ग) बादल कैसी शैतानियाँ करते होंगे?

Four alternative options are given for each of the following statements. Select the correct option.

The mean of scores 10, 15, 12, 15, 15 is:

A. 15

B. 13

C. 13.4

D. 14.3

Question 7

In a school, only 3 out of 5 students can participate in a competition. What is the probability of the students who do not make it to the competition?

(a) 0.65

(b) 0.4

(c) 0.45

(d) 0.6

Using identities, evaluate.

(i) 71² (ii) 99² (iii) 102² (iv) 998²

(v) (5.2)² (vi) 297 × 303 (vii) 78 × 82

(viii) 8.9² (ix) 1.05 × 9.5

If a + 10^o, 3a + 10^o, 5a - 10^o and 3a - 10^o are the angles of a quadrilateral, then what is the value of a?

Two numbers are in the ratio $2:3.$ If 2 is subtracted from the first number and 8 from the second number, the ratio becomes the reciprocal of the original ratio. Find the numbers.

Which of the following properties are used in the construction of a rectangle given the length of a side and a diagonal?

In the number 725__26, fill in the blank in such a way that the new number obtained is exactly divisible by 2?

Which of the following numbers is a perfect square as well as a perfect cube?

Which of the following traffic signs has a perimeter of 18 ft?

Factorise $x^2-12x-45$ and find its value for $x=3.$ [3 MARKS]

Evaluate :$\left\{\right(7.8{)}^2-\left(2.2{)}^2\right\}$

Find the least number that must be added to $1456$ to make it a perfect square.

In a three digit number the hundreds digit is twice the tens digit while the units digit is thrice the tens digit also the sum of its digits is 18 find the number

If x and y are directly proportional, find the values of (\x_1,~x_2~and~y_1)\ in the table

given below :

$\begin{array}{ccccc}x& 3& x_1& x_2& 10\\ y& 72& 120& 192& y_1\end{array}$

Mr. Sinha sold two tape-recorders for Rs.990 each; gaining 10% on one and losing 10% on the other. Find his total loss or gain, as percent, on the whole transaction.

9^0+9^-1-9^-2+9^1/2-9^-1/2

Question 28

Data represented using circles is known as:

(a)Bar graph

(b) Histogram

(c) Pictograph

(d) Pie chart

Find the quotient and the remainder when each of the following number is divided by 304:

128, 636, 785, 1038, 2236, 8858, 13765, 58876

Raghu wants to make a closed aluminium cone for his science project. The slant height and radius of the cone are 10 cm and 7 cm respectively. The area of aluminium sheet required to make the cone is ___ $c{m}^2$
(Use $\pi =3.14$)

Find the cube of $4\frac{1}{2}$.

Question 1 (iii)

A survey conducted by an organization for the cause of illness and death among the women between the ages 15−44 (in years) worldwide, found the following figures (in %):

$\begin{array}{ccc}\text{S.No.}& \text{Causes}& \text{Female fatality rate}\left(\%\right)\\ 1.& \text{Reproductive health conditions}& 31.8\\ 2.& \text{Neuropsychiatric conditions}& 25.4\\ 3.& \text{Injuries}& 12.4\\ 4.& \text{Cardiovascular conditions}& 4.3\\ 5.& \text{Respiratory conditions}& 4.1\\ 6.& \text{Other causes}& 22.0\end{array}$

(iii)Try to find out, with the help of your teacher, any two factors which play a major role in the cause in (ii)(Reproductive health conditions) above being the major cause.

Given the three angles of a quadrilateral, for construction we also need to know the length of

Find the smallest number by which 27,783 must be multiplied to get a perfect cube.

Question 29

A cube of side 4 cm is painted on all its sides. If it is sliced in 1 cubic cm cubes, then number of such cubes that will have exactly two of their faces painted is ___

Solve the following equation:

$\frac{x-1}{7x-14}=\frac{x-3}{7x-26}$

Question 83 (ii)

Multiply the following :

$3x^2{y}^2{z}^2,17xyz$

Tap on the shape which has 4 equal sides and no right angles.

Question 6

What is the probability of choosing a vowel from the alphabets?

(a) $\frac{21}{26}$

(b) $\frac{5}{26}$

(c) $\frac{1}{26}$

(d) $\frac{3}{26}$

Question 9
All faces of a pyramid are always

a) Triangular

b) Rectangular

c) Congruent

d) None of these

Which of the following is not an irrational number?​

Josh is trying to factorize the polynomial, $2x^2-13x+21$ by splitting the middle term ($-13x$). Which of the following ways should he split the middle term such that the factorization is possible?

If $y=\frac{1}{2}(3x+7)$ is written in the form $ax+by+c=0,$ which of the following are possible values of a, b and c?

Simplify [2 MARKS]

$2^5\times 3\times 4^2\times 5$

Writhe the units digit of the cube of each of the ffolloiwng numbers:
31, 109, 388, 833, 4276, 5922, 77774, 44447, 125125125.