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Ritu ate (3/5) part of an apple and the remaining apple was eaten by her brother Somu. How much part of the apple did Somu eat? Who had the larger share? By how much?

Correct35

\(ABCD\) is quadrilateral. Is \(AB + BC + CD + DA < 2 (AC + BD)\)

Correct52

The weights (in kg.) of 15 students of a class are:38, 42, 35, 37, 45, 50, 32, 43, 43, 40, 36, 38, 43, 38, 47(i) Find the mode and median of this data.(ii) Is there more than one mode?

Correct47

Give four rational numbers equivalent to: (i) \(\frac{{-{2}}}{{7}}\) (ii) \(\frac{{5}}{{-{3}}}\) (iii) \(\frac{{4}}{{9}}\)

Correct50

Copy the diagram and complete each shape to be symmetric about the mirror line(s):

Correct41

Which of the drawings (a) to (d) show : (i) \({2}\times\frac{{1}}{{5}}\) (ii) \({2}\times\frac{{1}}{{2}}\) (iii) \({3}\times\frac{{2}}{{3}}\) (iv) \({3}\times\frac{{1}}{{4}}\)

Correct8

Find the values of the following expressions for \({x}={2}.\) (i) \({x}+{4}\) (ii) \({4}{x}-{3}\) (iii) \({19}-{5}{x}^{{2}}\) (iv) \({100}-{10}{x}^{{3}}\)

Correct49

Rahul bought a sweater and saved Rs 20 when a discount of 25% wasgiven. What was the price of the sweater before the discount?

Correct42

What letters of the English alphabet have reflectional symmetry (i.e., symmetry relatedto mirror reflection) about.(a) a vertical mirror (b) a horizontal mirror(c) both horizontal and vertical mirrors

Correct30

Salil wants to put a picture in a frame. The picture is \({\left({7}\right)}\frac{{3}}{{5}}{c}{m}\) wide. To fit the frame the picture cannot be more than \({\left({7}\right)}\frac{{3}}{{10}}{c}{m}\) wide. How much should the picture be trimmed ?

Correct13

If the circumference of a sheet is \({154}{m},\) find its radius. Also find the area of the sheet. (take \({p}=\frac{{22}}{{7}}\))

Correct11

Express each of the following as a product of prime factors only in exponential form: (i) \({108}\times{192}\) (ii) \({1270}\) (iii) \({729}\times{64}\) (iv) \({768}\)

Correct24

Find each of the following products:

(a) \({3}\times{\left(-{1}\right)}\)

(b) \({\left(-{1}\right)}\times{225}\)

(c) \({\left(-{21}\right)}\times{\left(-{30}\right)}\)

(d) \({\left(-{316}\right)}\times{\left(-{1}\right)}\)

(a) \({3}\times{\left(-{1}\right)}\)

(b) \({\left(-{1}\right)}\times{225}\)

(c) \({\left(-{21}\right)}\times{\left(-{30}\right)}\)

(d) \({\left(-{316}\right)}\times{\left(-{1}\right)}\)

Correct28

\({P}{Q}{R}\) is a triangle right angled at P. If \({P}{Q}={10}{c}{m}{\quad\text{and}\quad}{P}{R}={24}{c}{m},\) find \({Q}{R}\)

Correct17

A circular flower garden has an area of \({314}{m}^{{2}}.\) A sprinkler at the centre of the garden can cover an area that has a radius of \({12}{m}.\) Will the sprinkler water the entire garden ? (Take \(\pi={3.14}\))

Correct37

A path \({1}{m}\) wide is built along the border and inside a square garden of side \({30}{m}.\) Find: (i) the area of the path (ii) the cost of planting grass in the remaining portion of the garden at the rate of \({R}{s}{40}\) per \({m}^{{2}}\)

Correct8

If Manohar pays an interest of Rs 750 for 2 years on a sum ofRs 4,500, find the rate of interest.

Correct2

Simplify and write the answer in the exponential form. (i) \({\left(\frac{{3}^{{7}}}{{3}^{{2}}}\right)}\times{3}^{{5}}\) (ii) \({2}^{{3}}\times{2}^{{2}}\times{5}^{{5}}\)

Correct9

State with reasons, which of the following pairs of terms are of like terms and which are of unlike terms : (i) \({7}{x},{12}{y}\) (ii) \({15}{x}-{21}{x}\) (iii) \({4}{a}{b},{7}{b}{a}\)

Correct45