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Which of the following expression is same as the given expression:
$x^2+5x+4$

Question 2 (iii)
Find: ${16}^{\frac{3}{4}}$

$\text{Tick the correct answer in each of the following :}\text{Two coins are tossed simultaneously. What is the probability of getting one head and one tail ?}\left(a\right)\frac{1}{4}\left(b\right)\frac{1}{2}\left(c\right)\frac{3}{4}\left(d\right)\frac{2}{3}$

Question 70

In the following question, state whether the statement is True (T) or False (F):

$x^2+(a+b)x+ab=(a+b)(x+ab)$

Tick the correct answer in each of the following: The compound interest on Rs 5000 at $8\%$ per annum for 2 years, compounded annually, is

(a) Rs 800 (b) Rs 825 (c) 832 (d) 850

Factorise:
$9y^2-12y+4$

What is the value of $\sqrt[3]{3-8}-\sqrt[3]{3-216}$ ?

The mass of an armored tank is $6\times {10}^4\text{kg}$ and of an armored car is $4\times {10}^3\text{kg}.$ What is the combined weight of both the vehicles?

If ${\left[{\left\{{\left(\frac{1}{7^2}\right)}^{-2}\right\}}^{-\frac{1}{3}}\right]}^{\frac{1}{4}}=7^m$ then find the value of m.

Daniel is painting the walls and ceiling of a cuboidal hall with length, breadth and height of 15 m, 10 m and 7 m respectively. From each can of paint $100m^2$of area is painted. How many cans of paint will she need to paint the room?

The sum of exterior angles of a polygon (in degrees) with 10 sides is

What journal entries would be recorded for the following transactions on the dissolution of a firm after various assets (Other than cash) on the third party liabilities have been transferred to realisation account ?

1. Arti took over the Stock worth Rs. 80,000 at Rs. 68,000.

2. There was unrecorded Bike of Rs. 40,000, which was taken over by Mr. Karim.

3. The firm paid Rs. 40,000 as compensation to employees.

4. Sundry creditors amounting to Rs. 36,000 were settled at a discount of 15$\%$.

5. Loss on realisation Rs. 42,000 was to be distributed between Arti and Karim in the ratio of 3 : 4.

A and B can polish the floors of a building in 10 days A alone can do $\frac{1}{4}$th of it in 12 days. In how many days can B alone polish the floor?

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

Compute the value of following expression $201\times 199$

Find the cubes of following number .

0.9

Given $△ABC$ ~ $△XZY$. Which of the following is true?

A number can not have a squars digits are root it its unit digits are ___ or ___ or ____.

Fill in the blanks :

(i)The product of two positive rational numbers is always_______________.
(iii) The product of two negative rational numbers is always_______________.

(iv) The reciprocal of a positive rational number is _______________.

(v) The reciprocal of a negative rational number is _______________.

(vi) Zero has _______________ reciprocal.

(vii) The product of a rational number and its reciprocal is ____________.

(viii) The numbers_______________and_______________are their own reciprocals.

(ix) If a is reciprocal of b, then the reciprocal of b is _______________.

(x) The number 0 is __________________ the reciprocal of any number.

(xi) Reciprocal of $\frac{1}{a},a\ne$ is __________________.

(xii) $(17\times 12{)}^{-1}={17}^{-1}\times$__________________.

Number of cubes of side 2 cm required to make a cube of side 6 cm =

The distance between Earth and Mars is $2.2253\times {10}^{8}kms$. The distance between Mars and Saturn is $1.19666\times {10}^{9}kms$. A spaceship starts from Earth and flies to Saturn via Mars. Find the total distance covered by the spaceship in metres.

A survey was conducted with 160 chidren about their favourite film of all time. The following graph shows their findings.

How many children said that God Father is their favourite?

The number $(2+\sqrt{3})(2-\sqrt{3})$ is a/an

3x +2/x =7, find (9x^2- 4/x^2)

ax+b=0,a≠0

A student has got the following scores in his tests: 87, 95, 76, and 88. He wants average of 85 or better overall. What is the minimum score he must get on the last test in order to achieve that average?

Orthocenter is the point of intersection of ___ of a triangle.

If B contains 6 students then the number of students in B + C + D + E + F + G + H is-

Find the rate of discount when Marked Price is Rs 2800 and Selling Price is Rs 2100.

Find the value of x. if ($\frac{x}{3}$) + ($\frac{x}{2}$) = 5

In a class of 48 students, the number of boys is 3/5 of numbers of girls. Find the number of boys and girls in the class.

Construct a parallelogram ABCD, if :

(i) AB = 3.6 cm, BC = 4.5 cm and $\angle \text{ABC}={120}^{\circ }.$

(ii) BC = 4.5 cm, CD = 5.2 cm and $\angle \text{ADC}={75}^{\circ }.$

(iii) AD = 4 cm, DC = 5 cm and diagonal BD = 7 cm.

(iv) AB = 5.8 cm, AD = 4.6 cm and diagonal AC = 7.5 cm.

(v) diagonal AC = 6.4 cm, diagonal BD = 5.6 cm and angle between the diagonals is ${75}^{\circ }$.

(vi) lengths of diagonals AC and BD are 6.3 cm and 7.0 cm respectively, and the angle between them is ${45}^{\circ }$.

(vii) lengths of diagonals AC and BD are 5.4 cm and 6.7 cm respectively and the angle between then is ${60}^{\circ }$.

Given the following details, calculate simple interest from Jan to June 4 % p. a.

The mean of the following numbers is ___.
2, 6, 4, 9, 7, 3, 5, 4, 3, 7

A can do a work in 15 days and B in 20 days. If they together work on it for 4 days; what fraction of the work will be left?

Find the percentage change, when a number is changed from.: (i) 80 to 100 (ii) 100 to 80 (iii) 6.25 to 7.50

Landing the point of a spinner on an even number is a/an ______ .

Solve the following question:

$\frac{\left(Z\right)+(Z+7)+(Z+3)}{4}=25$

The value of machinery is ₹10000. The value is depreciating by 15% every year. What will be the value of the machinery after 2 years?

The number obtained after increasing $200$ by $20$% is ____.

Young's modulus of steel is $19\times {10}^{10}\frac{N}{m^2}$. Express it in $\frac{dyne}{c{m}^2}$. Here dyne is the CGS unit of force.