Explore topic-wise InterviewSolutions in .

Out of the 240 students in a school, 20 are in class VII. Central angle of class VII (depicted in a pie chart) is .

If x+1/x=2

Then find the value of x^{​​​​​​10} + 1/x^{​​​​​​10}

Preeti is trying to draw a line parallel to $PQ$ through a point $R$ (not on $PQ$). How many arcs does she need to draw and how many times does she need to change the distance between the compass tip and the pencil tip respectively?

The cross-section of a canal is a trapezium in shape.If the canal is 10 m wide at the top 6 m wide at the bottom,and the area of the cross-section is 72 $m^2$,determine its depth.

By selling an article at 20%. discount. a shopkeeper gains 25%. If the selling price of the article is Rs. 1.440; find: (i) the marked price of the article. (ii) the cost price of the article.

(a)Add: $p(p-q),q(q­­­-r)$ and $r(r­-p)$

(b)Add: $2x(z-x-y)$ and $2y(z-y-x)$

(c)Subtract: $3l(l-4m+5n)$ from $4l(10n-3m+2l)$

(d)Subtract: $3a(a+b+c)-2b(a-b+c)$ from $4c(-a+b+c)$

Find the cube of $x+2y$.

If the class mark of a class interval is 25, then the sum of its lower and upper class limits is

Evaluate:

(i) 53 × 55; (ii) 102 × 106; (iii) 34 × 36; (iv) 103 × 96.

A cylinder is formed by rolling a rectangular sheet along its length as shown below. What is the radius of the cylinder?

What is - y × y^{​​​​​​2}

Mark the correct option:

The number is equal to

A. 6⁶

B.

C.

D.

Factorise by splitting the middle term: 24^{x 2}- 65^x+ 21

The perpendicular to a chord, from the centre of the circle divides the chord in ratio ___.

Out of the options given below, which is the largest 5 digit number?

What is the ratio of the area of parallelogram ABCD to the sum of areas of $\Delta ABE$ and $\Delta ABF?$

$\sqrt[3]{3512}$ = ?
(a) 6 (b) 7
(c) 8 (d) 9

Question 42

The cost of a tape recorder is Rs 10800 inclusive of sales tax charged at 8%. The price of the tape recorder before sales tax was charged, is ___.

A 5 m 60 cm high
vertical pole casts a shadow 3 m 20 cm long. Find at the same time −

(i) the length of the
shadow cast by another pole 10 m 50 cm high

(ii) the height of a
pole which casts a shadow 5 m long.

Four coins are tossed simultaneously 810 times with the following frequencies of different outcomes.

If the circle $x^2+y^2+2gx+2fy+c=0$ is touched by the line $y=\sqrt{3}x$ at $P$ such that $OP=2\sqrt{3}$, then the value of $c$ is

A factor of $a^2-2ab+b^2-c^2$ is ___________.

What were the reasons for improvement in the results?

Question 24

Total number of outcomes, when a ball is drawn from a bag which contains 3 red, 5 black and 4 blue balls is:

(a) 8

(b) 7

(c) 9

(d) 12

A license plate begins with three letters. If the possible letters are $A,B,C,D,E,F,G$ and $H,$ how many different permutations of these letters can be made if no letter is used more than once?

If ${\left(\frac{x^m\times x^n}{x^p}\right)}^q=x^K$ then what is the value of K?

Question 2(i)

Simplify and express the result in power notation with positive exponent:

$(-4{)}^5÷(-4{)}^8$

Question 38

In direct proportion, $\frac{a_1}{b_1}$___$\frac{a_2}{b_2}$.

The pie chart given below represents the number of stationery items sold in a month at a shop. If the total no. of items sold was 1080, find the number of pens, notebooks, books and other items sold.

Question 60

In questions which of the following vary directly and which vary inversely with each other and which are neither of the two?

(i) The time taken by a train to cover a fixed distance and the speed of the train.

(ii) The disatnce travelled by CNG bus and the amount of CNG used.

(iii) The number of people working and the time to complete a given work.

(iv) Income tax and the income.

(v) Distance travelled by an auto-rickshaw and time taken.

1. 5