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Question 79

$\frac{1}{8}$ of a number equal $\frac{2}{5}÷\frac{1}{20},$ what is the number?

A line segment 49 m long divided into 2 parts in the ratio 3:4. Find the length of each part

In the figure given below, angle A and angle B are

Diagonals in following quadrilateral are equal or

I) parallelogram. 2) rhombus 3) rectangle 4) trapezium

The area of 4 walls of a hall is $30m^2$. The length and breadth of the hall are 12.5 m and 7.5 m respectively. Find the height of the wall?

The parallel sides of a trapezium whose area is 74.52 cm² are 8.4 cm and 12.3 cm respectively. The height of the trapezium is:

Solve equation, given below, using factorisation method:

$(2x-3{)}^2=49$

If the numbers 3, 5, 7, 4 have frequencies $x,x+4,x-3,x+8$ with their arithmetic mean of 4, then $x$ will be:

Question 97

How many cubes each of side 0.5 cm are required to build a cube of volume of $8c{m}^3$?

To construct a parallelogram, a minimum of how many measurements need to be provided?

A simple pendulum has time period $T_1$. The point of suspension is now moved upward according to the relation $y=k{t}^2,(k=\frac{1m}{s^2})$ where y is the vertical displacement. The time period now becomes $T_2$. The ratio of$\frac{T_1^2}{T_2^2}$ is (Take g =$10\frac{m}{s^2})$

$\left\{\right(\frac{1}{6}{)}^{-2}-\left(\frac{1}{3}{)}^{-3}\right\}÷3^2$ [2 MARKS]

John gets ₹ 1750 from Rohit and ₹ 750 from Ankita. What % of the overall amount does he get from Rohit?

The numbers of absentees in a class were recorded during a week. On which day, maximum students were absent?

Whats the third zero of $a{x}^3+b{x}^2+cx+d$ if two zeroes are 0? [1 MARK]

The compound interest that will be given on ₹ 3,000 for 9 months at 10% per annum when the interest is reckoned half- yearly is

a) What is the class size of the given grouped frequency distribution?

b) Which class has the highest frequency?

c) If Sachin scores 20 then in which interval will he be placed in?

d) What is the upper-class limit of the class interval 10-20? [4 MARKS]

$\begin{array}{cc}Runs& Cricketers\\ 0-10& 10\\ 10-20& 3\\ 20-30& 14\\ 30-40& 25\\ 40-50& 11\end{array}$

What were the differences you observed between a bar graph and a histogram?

Solve :

$\frac{2-9z}{17-4z}=\frac{4}{5}$

Shabana bought 16 dozen ball pens and sold them at a loss equal to S.P of 8 ball pens. Find

i) Her loss percent

ii) S.P of 1 dozen ball pens, if she purchased these 16 dozen ball pens for Rs. 576.

Which of the two rational numbers is greater in the given pair ?

(i) $\frac{3}{8}$ or 0 (ii) $\frac{-2}{9}$ or 0 (iii) $\frac{-3}{4}$ or $\frac{1}{4}$

(iv) $\frac{-5}{7}$ or $\frac{-4}{7}$ (v) $\frac{2}{3}$ or $\frac{3}{4}$ (vi) $\frac{-1}{2}$ or -1

Factorise :
$a{b}^2-b{c}^2-ab+c^2$

Find the volume of a cube whose side is
(i) 4 cm (ii) 8 cm (iii) 1.5 dm (iv) 1.2 m (v) 25 mm

Which of the following is/are the measure of central tendency?

Bisectors of the angles B and C of an isosceles triangle with AB = AC intersect each other at O. BO is produced to a point M. Then which of the following options is correct?

Ramesh invests Rs. 12,800 for three years at the rate of 10% per annum compound interest. Find:

(i) the sum due to Ramesh at the end of the first year.

(ii) the interest he earns for the second year.

(iii) the total amount due to him at the end of the third year.

A milkman sold 2 of his buffalos for 20,000 each. On one he made gain of 5% and on another he made loss of 10%. Find his overall gain or loss.

While reading newspaper, Ted caught news of a football match between Brazil and Spain. The countries were represented with their respective flags. In Brazil’s flag, the length of any side of parallogram is 10.6 cm and corresponding height is equal to 8.3 cm. If area of the green region is 74.02 $c{m}^2$ and length of the flag is twice the breadth, find the length of the flag.

Draw a quadrilateral ABCD. Mark the mid points,E, F, G and H of the sides AB, BC, CD and DA respectivily. Join EF, FG, GH and HE. Verify that the quadrilateral EFGH is a parallelogram

How to find squares of any number by diagonal and column method?

A motorbike was bought by a showroom for Rs. 80,000. The owner then sold this bike at Rs. 60,000. Find the percentage of profit or loss.

Given $\frac{AB}{AC}$ = $\frac{QR}{PR}$ and $\frac{QR}{QP}$ = $\frac{AB}{BC}$ . Choose the correct option

What is the square of 372 from below diagonal matrix?

Waht happends to the fcube fo a number if the unmber is multiplied by
(i) 3 ? (ii) 4 ? (iii) 5 ?

The square of the number 95 is

In a convex hexagon prove that the sum of all interior angle is equal to the twice the sum of its exterior angle formed by producing the sides in the same order

Dear experts

How to take the pic of the question as I am finding it difficult to type exponents questions. Thanks

The minimum number of measurements required to construct a rectangle are ______.

Given, universal set = $\{x:x\in N,10\le x\le 35\}A=\{x\in N:x\le 16\}andB=\{x:x>29\}Find:\left(i\right)A^{\prime }\left(ii\right)B^{\prime }$

Sumit bought banana as at the rate of 5 for a rupee and sold them at 4 for a rupee. Find his gain %.

If two supplementary angles differ by ${40}^{\circ }$, then find the angles.

If the sum of exterior angles of a polygon is one-ninth the sum of its interior angles, then the polygon has ___ sides.

There are 3 cab companies A, B and C. They provide cab service at different time slots. The time taken for the trip depends upon the driver skill. The bar graph shown below gives the details.

If you take cab C1 of company B, then what time will you reach your class, if you start at 8:00 a.m.?

If (a+ b) = 7 and ab = 8 find $a^3+b^3$

Factors of $a^2-a+ab-b$ are __________.