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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)

The length of the two diagonals of a rhombus are $6cm$ and $8cm$ respectively, what is the length of its side.

Which among the following is a polynomial?

Find the selling price, if : (i) C.P. = Rs. 950 and profit = 8% (ii) C.P. = Rs. 1,300 and loss = 13%

Find the area of the given quadrilateral ABCD. Given that the length of BD, AE and BC are 28 cm, 20 cm, and 8 cm respectively.

Lines AB and CD interesct at O. If $\angle$AOC = ${135}^{\circ }$, then $\frac{\angle BOC}{3}$ = .

If two vertices of a parallelogram are (3, 2) and (-1, 0) and the diagonals interest at (2, -5), then the other two vertices are

The ratio of radii of two cylinders is $1:\sqrt{3}$ and their heights are in the ratio 2 : 3. The ratio of their curved surface area is:

A table was sold for $₹2142$ at a gain of $5\%$.At what price it should it be sold to gain $10\%$.

Ratio 3:4 is not equal to

Which of the folowing is the right side view of the figure shown above.

$\text{A shopkeeper sold two fans for Rs, 990 each . On one he gains}10\%\text{and on the other he loses}10\%\text{Calculate his gain or loss per cent in the whole transaction.}$

Question 22

Which of the following is an example of distributive property of multiplication over addition for rational numbers.

(a) $-\frac{1}{4}\times \{\frac{2}{3}+\left(\frac{-4}{7}\right)\}=[-\frac{1}{4}\times \frac{2}{3}]+[-\frac{1}{4}\times \left(\frac{-4}{7}\right)]$

(b) $-\frac{1}{4}\times \{\frac{2}{3}+\left(\frac{-4}{7}\right)\}=[\frac{1}{4}\times \frac{2}{3}]-\left(\frac{-4}{7}\right)$

(c) $-\frac{1}{4}\times \{\frac{2}{3}+\left(\frac{-4}{7}\right)\}=\frac{2}{3}+(-\frac{1}{4})\times \frac{-4}{7}$

(d) $-\frac{1}{4}\times \{\frac{2}{3}+\left(\frac{-4}{7}\right)\}=\{\frac{2}{3}+\left(\frac{-4}{7}\right)\}-\frac{1}{4}$

If the adjacent sides of parallelogram are $\hat{i}+2\hat{j}+3\hat{k}$ and $-3\hat{i}-2\hat{j}+\hat{k},$ then area of parallelogram in sq. units is

Which of the following statements are true?

$\text{If the sides of a triangle are}{a}^2-3ab+8\text{units,}4a^2+5ab-3\text{units and}6-3a^2+4ab\text{units, then its perimeter}\text{is \_\_\_\_ units.}$

Question 15

A sum is taken for two years at 16% per annum. If interest is compounded after every three months, the number of times for which interest is charged in 2 yrs is

(a) 8

(b) 4

(c) 6

(d) 9

Two numbers which are indirectly proportional have their ____________ constant.

1. 2000

Which among the following would be positive after simplification?

Krishna deposited $‘x^{\prime }$ number of $‘2000$ notes, $‘y^{\prime }$ number of ${}^{\prime }500$ notes, $‘z^{\prime }$ number of $‘100$ notes in a bank and Arjun deposited $‘3x{y}^{\prime }$ times the amount of what Krishna had deposited. How much did Arjun deposit in the bank?

The following calculation shows the number of people visiting the park on each day.





If an equal number of people visited the park everyday, the equation for the number of visitors in 30 days will be ____

The total number of parallelograms in this figure is

Factorise the expression:



$15xy+15+9y+25x$

The purchasing cost of a motorbike by a showroom was Rs. 80,000. The owner then sold this bike at Rs. 60,000. Find the percentage of profit or loss.

When 0.64 is written in simplest fractional form, the sum of the numerator and the denominator is:

Factorise : 3 - 12 (a-b)²

Question 10(iii)
Find and correct the errors in the following mathematical statement. Substituting $x=-3$ in
$x^2+5xgives(-3{)}^2+5(-3)=-9-15=-24$

Find the area of hexagon PQRSTU in which QN is perpendicular to PS, RL is perpendicular to PS, TM is perpendicular to PS, UO is perpendicular to PS such that PO= 4m, ON=2m, NM= 6m, ML=2m, LS= 6m, UO= 6m, TM= 8m, QN= 2m, RL=4m.

What is the prime factorization of $16x^2-64$?