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A and B can complete a work in 15 days and 10 days respectively. They started doing the work together but after 2 days B had to leave and A alone completed the remaining work. The total time taken for the work to be completed was

Question 46

Fill in the blanks to make the statements true.

The least number by which 72 be multiplied to make it a perfect cube is ___.

A quadrilateral is constructed using 2 congruent triangles. Two of its sides are 2 and 3 units. What are the possible values of the 3rd side?

Question 82

The population of India in 2004 - 05 is a rational number.

If $x-\frac{1}{x}$ = 9 then $x^3-\frac{1}{x^3}$ = _____________

Factorise:
$9a^2-b^2+4b-4$

$\frac{30}{100}$ as a percentage is ___.

90 min = of an hour(fraction).

Using suitable identities, evaluate the following:

$(103{)}^2$

What should be added to $x^2+6x-18$ to get $3x^3+x^2+16$?

The value of 4^6 ÷ 4^4 is

Factorise:x² ​- x - 72

In the figure below, lines XY and MN intersect at point O. If OP is perpendicular to XY and A = 30${}^{\circ }$, find C.

Determine the equation of the line in each of the following graph:

(i)

(ii)

Question 9

The number of obtuse angles in the given figure is

a) 2

b) 3

c) 4

d) 5

Find:

(i)22% of 120 (ii)25% of Rs.1000

(iii)25% of 10 kg (iv)16.5% of 5000 metres

(v)135% of 80 cm (vi)2.5% of 10000 ml

Question 1 (xii)
Find the square roots of each of the following numbers by Division method:

900

Question 4 (vii)

Find the square roots of the following numbers by the Prime Factorization method:
5929

Three coins are tossed together. Find the probability of getting :

(i) exactly two heads

(ii) at least two heads

(iii) at least one head and one tail

(iv) no tails

In a regular polygon if the ratio of inner and outer angle is 7:2, then find the number of sides in the polygon.

If $m-\frac{1}{m}=5,$ find :

(i) $m^2+\frac{1}{m^2}$

(ii) $m^4+\frac{1}{m^4}$

(iii) $m^2-\frac{1}{m^2}$

Tick the correct answer in each of the following:

The compound interest on Rs 4000 at $10\%$ per annum for 2 years 3 months, compounded annually, is

(a) Rs 916 (b) Rs 900 (c) Rs 961 (d) Rs 896

What is the value of $\sqrt[3]{38}$ + $\frac{1}{\sqrt[3]{38}}$ ?

The number of whole numbers -2 and 3 are ___.

Simple interest on a sum of money for 2 years at $6\frac{1}{2}\%$ per annum is Rs. 5200. What will be the compound interest on the sum at the same rate for the same period?

Which of the following is/are not linear equation(s)?

(i)

(ii)

(iii)

(iv)

(v)

(vi)

The perimeter of a rectangle is 72 cm. If the length of the rectangle is 20 cm, the breadth of the rectangle is:

Question 2(iii)

Find the smallest number by which each of the following numbers must be multiplied to obtain a perfect cube:

72