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Q11. A table is in the shape of a pentagon and five people, P, Q, R, S and T, are standing at each of the corners facing away from the centre. P is standing between Q and R. If Q is standing to the left of T, then who is standing on the left of R?

एक मेज पंचकोण के आकार में है और पाँच लोग P, Q, R, S और T केंद्र के विपरीत मुंह करके प्रत्येक कोने पर खड़े हैं। P, Q और R के बीच में खड़ा है। यदि Q, T के बाएँ खड़ा है, तो R के बाएँ कौन खड़ा हुआ है?

Question 86 (iv)

Find the reciprocal of the following:
$(-5\times \frac{12}{15})-(-3\times \frac{2}{9})$

Question 138

Check whether the following measures (in cm) can be the sides of a right-angled triangle or not.
1.5, 3.6, 3.9

Question 66

Express the given statement as an equation.

A number divided by 2 and then increased by 5 is 9.

Question 128

Harish bought a gas-chullah for ₹ 900 and later sold it to Archana at a profit of 5 % . Archana used it for a period of two years and later sold it to Babita at a loss of 20 %. For how much did Babita get it?

Question 1

Draw a circle of radius 3.2 cm

Question 104

150 students are studying English, Maths or both. 62% of the students are studying English and 68% are studying Maths. How many students are studying both?

Find the loss if the loss percent is 14% and selling price is ₹5865.20

The length and breadth of a rectangle are $x-3$ and $x-5$, respectively. Match the followings accordingly.

Question 90

Write 0.089 as a percent.

Simplify and express in exponential form:
${25}^4÷5^{-3}$

Question 2

Income of Gayatri = Rs. 160000 per year. She pays 15 % of this as house rent and 10 % of the remainder on her child's education. The money left with her is
(a) Rs. 136000
(b) Rs. 120000
(c) Rs. 122400
(d) Rs. 14000

If A = {set of integers between -2 and 4}, then n(A) = ___.

1. 315

A girl is cycling and she covers $0.5km$ in $2$ minutes, next $0.75km$ in $3$ minutes and last $1$ km in $4$ minutes. Find the average speed.

Data arranged in an unorganised manner is called as

Question 54

Fill in the blanks to make the statement true.

Measures of each of the angles of an equilateral triangle is ___

Given, $n$ students in the class like football, what may $2n$ show? What may $\frac{n}{2}$ show?

There are four lines in a plane no two of which are parallel. The maximum number of points in which they can intersect is :

Question 103

Brinda purchased 18 coats at the rate of Rs 1500 each and sold them at a profit of 6%. If a customer is to pay sales tax at the rate of 4%, how much will one coat cost to the customer and what will be the total profit earned by Brinda after selling all coats?

$\text{The sum of three rational numbers is}\frac{-1}{5}.\text{If two numbers are}\frac{-2}{5}\text{and}\frac{3}{10},\text{then find}\text{the third number.}$

ABC is a triangle in which AB = AC. The base BC is produced to D. If $\angle$ACD = ${130}^{\circ }$, then $\angle$A = ___.

Rakesh borrowed ₹ 60,000 at 12% per annum compound interest. If he pays 50% of the sum borrowed at the end of the first year and 50% of the remaining loan at the end of the second year, then find the amount of loan outstanding at the beginning of the third year.

Ravish has three boxes whose total weight is $60\frac{1}{2}$ kg. Box B weighs $3\frac{1}{2}$ kg more than box A and box C weighs more $5\frac{1}{3}$ kg more than box B. Find the weight of A,B and C.

If y increases with an increase in x and y decreases with a decrease in x, then they are said to follow _______.

Question 3(e)

Pick out the solution from the values given in the bracket next to each equation. Show that the other values do not satisfy the equation

r - 4 = 0 (4, -4, 8, 0)

Question 61

State whether the statement is True or False.

One obtuse angle and one acute angle can make a pair of supplementary angles.

Divide $(3y+12b)(5a-b)$by $(y+4b)(25a^2-b^2)$

find the simple interest on Rs.450 at 6% per annum from july 4 to september 15 ?

What is the product of $(a+b)$ and $7a^2$$b^2$?

If $D$ is any point on the side $BC$ of $\Delta ABC$, then which of the inequality holds true?

Question 179(iii)

Express each of the following in exponential form.
$\frac{400}{3969}$

Question 3(iii)
Express the number appearing in the following statements in standard form:
Size of bacteria is 0.0000005 m.

Can we draw the orthocircle, circumcircle and incircle from a centroid of a triangle ?

If A = {1, 2, 3} and B = {2, 3}, then ___.

Ram walks 10 metres and Shyam walks 12 metres in the same time. They start together, how far behind will be Ram when Shyam has walked 288 metres?

The perimeter of the shape shown below is given to be 100 units. Find $x.$

For finding three rational number between -5/11 and 0/11 we have to multiply it by 2 or not ?

The area of one of the most common indian sweets as per the given dimensions is ___ $c{m}^2$.

Fond the third proportion of 1.6 and 0.8

(a) Find the value of angles 2,3,4 if $\angle$1 is 45. [4 MARKS]

(b) The supplement of which angle is the complement of ${70}^{\circ }$?

Mental maths questions :

If, 11,11 =4

22,22 = 16

33,33 = 36

44,44 = 64

55,55 = ??

A number when multiplied by 4 exceeds itself by 36 . Find the number.