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The mode of following data is:

745 students have to be arranged in equal to the number of rows and columns to form a square. The number of rows/columns, if 16 students are left out after the arrangement is ___

Evaluate:- $(1^3+2^3+3^3+4^3{)}^{\frac{-3}{2}}$

In the figure, AQ = 1 cm, PC = 15cm, PQ = 12 cm and AB = 6 cm, find CB.

Which of the following is not divisible by 2?

Average velocity of a particle moving in a straight line, with constant acceleration $a$ and initial velocity $u$ in the first $t$ seconds is :

An alloy of tin and copper consists of 15 parts of tin and 105 parts of copper. Find the percentage of copper in the alloy?

Find the smallest number by which 1152 must be divided so that it becomes a perfect square. Also, find the number whose square is the resulting number.

Construct a frequency table with class-intervals 0-5 (5 not included) of the following marks obtained by a group of 30 students in an examination:

0, 5, 7, 10, 12, 15, 20, 22, 25, 27, 8, 11, 17, 3, 6, 9, 17, 19, 21, 29, 31, 35, 37, 40, 42, 45, 49, 4, 50, 16.

Marks of the 100 students are distributed in the grouped frequency distribution.

Class mark of a particular class is 7.5 and the class size is 8, then the class interval is

The height range with the lowest frequency is _____

A number is first increased by 10$\%$ and then reduced by 10$\%$. The number (a) does not change (b) decreases by 1$\%$ (c) increases by 1$\%$ (d) none of these

Simplify:

$\left(i\right)\{{\left(\frac{1}{3}\right)}^{-3}-{\left(\frac{1}{2}\right)}^{-3}\}÷{\left(\frac{1}{4}\right)}^{-3}\left(ii\right)(3^2-2^2)\times {\left(\frac{2}{3}\right)}^{-3}\left(iii\right){\{\left(\frac{1}{2}\right)\times (-4{)}^{-1}\}}^{-1}\left(iv\right){\left[{\left\{{\left(\frac{-1}{4}\right)}^2\right\}}^{-2}\right]}^{-1}\left(v\right){\left\{{\left(\frac{2}{3}\right)}^2\right\}}^3\times {\left(\frac{1}{3}\right)}^{-4}\times 3^{-1}\times 6^{-1}$

Find the rate percent per annum if Rs. 2000 amount to Rs. 2662 in $1\frac{1}{2}$ years, interest being compounded half-yearly?

I am currently 5 times as old as my son. In 6 years time I will be three times as old as he will be then. What are our ages now ?

Find the least number which must be subtracted from the following numbers to make them a perfect square:
(i) 2361 (ii) 194491 (iii) 26535
(iv) 16160 (v) 4401624

Find the square root of each of the following by long division method.
(i) 12544 (ii) 97344
(iii) 286225 (iv) 390625
(v) 363609 (vi) 974169
(vii) 120409 (viii) 1471369
(ix) 291600 (x) 9653449
(xi) 1745041 (xii) 4008004
(xiii) 20657025 (xiv) 152547201
(xv) 20421361 (xvi) 62504836
(xvii) 82264900 (xviii)3666694416
(xix) 6407522209 (xx) 3915380329

The height of a cylinder is 80 cm and the diameter of its base 7 cm.The whole surface area of the cylinder is

(a) $1837c{m}^2$

(b) $1760c{m}^2$

(c) $1942c{m}^2$

(d) $3080c{m}^2$

Identify all the quadrilaterals that hour
(i) Four sides of equal length.
(ii) Four right angles.

A quadrilateral has three acute angles each measures ${80}^{\circ }$. What is the measure of fourth angle?

Find out which part of the sentence has an error:

$\frac{Thestudents}{a}\frac{onlydrew}{b}\frac{ononeside}{c}\frac{ofthepaper}{d}$

Write 0.000000945 in standard form.

How many types of pie charts are currently used?

A ___ is a polyhedron whose base and top are different polygons and whose lateral faces are parallelograms in shape.

The length of a rectangular surface is 6cms. If the perimeter is 20 cms. What is the area of the surface

Write a Pythagorean triplet if one no. is 14.

What is the value of $\left[\right(-32)÷8]÷2?$

The value of $(1+i{)}^2$ - $(1-i{)}^2$ is __(give answer in terms of i)

Solve the following equation:

3a - 4 = 2(4-a)

In the given diagram O is the center of the circle and CD is a tangent. $\angle$CAB and $\angle$ACD are supplementary to each other $\angle$OAC = ${30}^{\circ }$. Find the value of $\angle$OCB.

The smallest number that is to be multiplied with 6655 so that the product will be a perfect cube is ___.

_{​​​​​​simplify}

_{(-3a^3/4*b^1/4)^4}

_{how to solve this?}

In what ratio must a grocer mix two varieties of pulses costing Rs. 15 and Rs. 20 per kg respectively so as to get a mixture worth Rs. 16.50 per kg?

For the equation $s=10t+4t^2$, what is the acceleration of the body? Assume that the body has a constant acceleration.

What is a square root?

Monil invests Rs 5600 at 14% p.a. compound interest for 2 years. Calculate:

the amount at the second year, correct to the nearest Re.

A water container can hold $40$ litres of water. Number of ice cubes of side $5cm$ that can be filled into the container is ____

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

The surface areas of six faces of a cuboid are 12, 12, 36, 36, 48, 48, (all in $c{m}^2)$. The volume of the solid in $c{m}^3$, is

Question 62

State whether the following statement is true or false:

The sum of first n odd natural numbers is $n^2$.

Question 25

Fill in the blanks to make the statements true.
${\left(\frac{11}{15}\right)}^4\times \text{\_\_}={\left(\frac{11}{15}\right)}^9$