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Question 4 (viii)

Find the square roots of the following numbers by the Prime Factorizationmethod:

9216

For 2 sets A, B, A is called a proper subset of B iff

Question 2 (ii)

Formulate the following problems as a pair of equations, and hence find their solutions:

2 women and 5 men can together finish an embroidery work in 4 days, while 3 women and 6 men can finish it in 3 days. Find the time taken by 1 woman alone to finish the work, and also that taken by 1 man alone.

Question 83

Convert the given statement into ordinary language:-

Khader's monthly salary was ₹ p in the year 2005. His salary in 2006 was ₹ (p + 1000).

Identify the property used in the equation.

The total cost of chocolates purchased by Sabu is ₹68.25. If the cost of one chocolate is ₹3.25, then how many chocolates did Sabu purchase?

Question 55

If the discount of Rs y is available on the marked price of Rs x, then the discount per cent is $\frac{x}{y}\times 100\%$

Question 16

How many times must a wheel of radius 28 cm rotate to go 352 m?
$(Take\pi =\frac{22}{7})$

Find out the wrong number in the series given below :

$15,16,34,105,424,2124,12756$

Question 120

Solve the following question:

How many square metres of carpet will be required for a square room of side 6.5 m to be carpeted?

Aswathi climbed a hill of height 400 m. While she was climbing down, she covered 5 metres per 2 minutes. After half an hour, find the remaining distance to be covered to reach the ground.

If a $b^2$$c^3$, $a^2$$b^3$$c^4$, $a^3$$b^4$$c^5$ are in A.P. (a, b, c > 0) then the minimum value of a + b + c is __

Which of the following statements is true?

A shopkeeper sold two baseball bats whose cost price is ₹2000 each. If he makes a profit of 15% on one bat and a loss of 5% on the other bat, then find the overall gain or loss.

The numerical factor of a term is known as its ___.

Amit used to be on the playground $4\frac{1}{2}$ times as much as his brother. His parents scolded him, so, he cut down $1\frac{1}{3}$ of the time he used to play. How many times as much as his brother is he now on the ground? [3 MARKS]

Length of a board is $12$ feet and width is $11$ feet. How many boards of same area can be manufactured given that length and breadth of the board should have integer values and length is less than breadth..

Question 159(i)

Find a single repeater machine that will do the same work as each hook-up.

Solve the following problems.

Prakash borrowed a sum of Rs. 5,000 from his friend as loan at 5% p.a simple interest. If he pays Rs. 5,250 out of the total amount and gives a radio for the balance amount after 2 years, what is the cost of the radio?

How to convert 81/500 to decimal

The product of two fractions is 20. If one of the fractions is $\frac{3}{2},$ then the other fraction is .

Question 17

Which of the following numbers satisfy the equation -6 + x = -12?

(a) 2
(b) 6
(c) -6
(d) -2

Question 35

In the given figure PQ|| RS. If $\angle 1=(2a+b{)}^{\circ }and\angle 6=(3a-b{)}^{\circ }$, then the measure of $\angle 2$ in terms of b is

(a) $(2+b{)}^{\circ }$
(b) $3-b{)}^{\circ }$
(c) $(108-b{)}^{\circ }$
(d) $(180-b{)}^{\circ }$

Express each of following as a product of powers of their prime factors: $9000$

If 2a - 3 = 5 , then find the value of "a".

A polyhedron has $12$ faces and $20$ vertices. How many edges does it have?

Solve the following linear equation:

$x+7-\frac{8x}{3}=\frac{17}{6}-\frac{5x}{2}$