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in quadrilateral abcd ab=5cm, angle a= 50°, ac=4 cm, bd= 5 cm, ad=6 cm.can be construct unique quadrilateral.

Question 28

Fill in the blank to make the statement true
${\left(\frac{6}{13}\right)}^{10}÷{\left[{\left(\frac{6}{13}\right)}^5\right]}^2=\text{\_\_}$

Considering the graph of the polynomial $x^n$, what can be the possible value of $n$?

Fill in the blanks:-

$6^2$ + $7^2$ + $($__${)}^2$ = ${43}^2$

Draw a histogram for the daily earnings of 30 drug stores in the following table:

$\begin{array}{cccccc}\text{Dialy earnings (in Rs):}& 450-500& 500-550& 550-600& 600-650& 650-700\\ \text{Number of stores:}& 16& 10& 7& 3& 1\end{array}$

The difference between two selling prices of a shirt at profits of $4\%$ and $5\%$ is Rs. 6. Find

(i) C.P of the shirt

(ii) The two selling prices of the shirt

Which of the following shapes depicted in the options can be joined to the given image [Image (i)] to form a Star?

For any two non-zero rational numbers a and b,$a^5\times b^5$ is equal to

$\text{Tick the correct answer in each of the following}\text{A die is thrown. What is the probability of getting even number ?}\left(a\right)\frac{1}{2}\left(b\right)\frac{2}{3}\left(c\right)\frac{5}{6}\left(d\right)\frac{1}{6}$

A. B and C can do a piece of work in 15, 12 and 20 days respectively. They started the work together. but C left after 2 days. In how many days will the remaining work he completed by A and B?

Question 71

The marked price of an article is Rs. 500. The shopkeeper gives a discount of 5% and still makes a profit of 25%. Find the cost price of the article.

Which of the following options are equal to $0.0015246$ ?

Question 86 (v)

Using suitable identities, evaluate the following:

$(1005{)}^2$

A school collected Rs. 2304 as fees from its students. If each student paid as many paise as there were students in the school, how many students were there in the school ?

What is the condition for two concentric circles of radii $r_1$ and $r_2$ to be congruent ?

Construct a bar chart for the following: [3 MARKS]

$\begin{array}{ccccccc}\text{Runs. scored by Ganguly}& 50& 75& 30& 60& 65& 80\\ \text{In three consecutive test matches}& \text{Ist}& \text{IInd}& \text{Ist}& \text{IInd}& \text{Ist}& \text{IInd}\\ & \text{Innings}& \text{Innings}& \text{Innings}& \text{Innings}& \text{Innings}& \text{Innings}\end{array}$

Question 43

If 213x27 is divisible by 9, then the value of x is 0.

Find the value of N in the following addition.

$95N7+1085\underset{–}{}10N52\underset{–}{}$

Right additive inverse of-1/2and3/4 and also write multiplicative inverse of the sum

What is A`s position with respect to F?

The area of a trapezium-shaped field is 600 m², the distance between two parallel sides is 15m and one of the parallel sides is 20 m. Find the other parallel side.

The following table shows number of males and females of a locality in different age groups.

$\begin{array}{cccc}Ageinyears& 10-20& 21-50& Above50\\ Male& 15& 16& 9\\ Female& 8& 20& 12\end{array}$

If a person is picked at random, then which of the following options is/are true?

9 subtracted from half of a number gives 5. The number is ______ .

The value of $\sqrt[3]{3343}\times \sqrt[3]{364}$ is

The cost of an article is Rs.6,000 to a distributor. He sells it to a trader for Rs.7,500 and the trader sells it further to a customer for Rs. 8,000. If the rate of tax under VAT is 8%; find the VAT paid by the : (i) distributor (ii) trader

Amit deposits Rs.150 per month in a bank for 8 months under the R. D. scheme. What will be the maturity value of his deposits, if the rate of interest is 8 % per annum & interest is calculated at the end of every month?

Construct a quadrilateral ABCD where AB = 8 cm, BC = 6 cm, DC = 4 cm. DC is parallel to AB and $\angle DCB$ is twice the angle ABC.

A number decreased by 30 is the same as 14 decreased by 3 times the number. Find the number.

Simplify:
$(a+b+c)\times (a+b-c)$

A bag contains 8 red balls, 11 blue balls and 6 green balls. Find the percentage of blue balls in the bag.

In a combined test in English and Physics; 36% candidates failed in English; 28% failed in Physics and 12% in both; find : (i) the percentage of passed candidates. (ii) the total number of candidates appeared, if 208 candidates have failed.

$4^3$ - $3^3$ = ___ + 3 $\times$ 4 $\times$3.

Write true (T) or false (F) for the following statements. (i) The number of digits in a square numbers is even .

(ii) The square of a prime number is prime.

(iii) The sum of two square numbers is a square number.

(iv) The difference of two square numbers is a square number.

(v) The product of two square numbers is a square number.

(vi) No square number is negative

(vii) There is not square number between 50 and 60.

(viii) There are fourteen square number upto 200.

The length, breadth and height of a room are 5 m, 4.5 m and 3 m, respectively, Find the volume of the air it contains.

$\sqrt[3]{3\frac{64}{343}}$= ?
(a) $\frac{4}{9}$ (b) $\frac{4}{7}$
(c) $\frac{8}{7}$ (d) $\frac{8}{21}$

Find each of the following products:

$(9x^2-x+15)\times (x^2-3)$

Factorize the following algebraic expressions: $7a(2x-3)+3b(2x-3)$

Question 90(iii)

Look at the histogram below and answer the questions that follow. ?

What is class size ?

Question 88

Study the pie chart given below depicting the marks scored by a student in an examination out of 54. Find the marks obtained by him in each subject. ?

The train covers 20 km in 15 minutes. How much distance will the car cover in 15 minutes if the speed of car is 60% of the speed of the train?

The sum of two numbers is 45 and their ratio is 7 : 8. Find the numbers.

The product of the common factors of 16$x^3$, -4$x^2$, 32x is

1. 1

In $\Delta XYZ,\overline{XY}>\overline{YZ}>\overline{ZX}$ Which of the following is the smallest angle?