Introduction to Graphs Test

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Introduction to Graphs Test - 18

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Weekly Quiz Competition

Question 1
1 / -0

For a point A$$(a, b)$$ lying in quadrant III

A
$$a > 0, b < 0$$

B
$$a < 0, b < 0$$

C
$$a > 0, b > 0$$

D
$$a < 0, b > 0$$

Solution

$$A(a,b)$$
$$a < 0 $$ $$b < 0$$
Hence, the option $$B$$ is correct
Question 2
1 / -0

Study the graph and answer the following questions.
How many less burgers were sold on Thursday than on Monday?

A
$$50$$

B
$$20$$

C
$$35$$

D
$$10$$

Solution

Number of burgers sold on Thursday $$= 30$$
Number of burgers sold on Monday $$= 50$$
Required difference $$= 50 - 30$$
$$ = 20$$
Question 3
1 / -0

________ is a set of rectangles with bases as the intervals between class
boundaries (along X-axis) and with are as proportional to the class frequency.

A
Bar diagram

B
Component bar diagram

C
Histogram

D
Multiple bar diagram

Solution
Question 4
1 / -0

Choose the correct answer from the alternatives given :
Directions for questions $$71$$ to $$75$$: Study the following graph carefully to answer these questions.
Production (in lakh tonnes) of six units of a company in $$2006$$ and $$2007$$.
What is the difference in the production (in lakh tonnes) of all companies in $$2006$$ and $$2007$$?

A
$$45$$

B
$$75$$

C
$$100$$

D
$$125$$

Solution

Total production of all companies in 2006
$$\Rightarrow $$ $$90+7+ 100+95+85+80=525$$
Total production of all companies in 2007
$$\Rightarrow $$ $$110+60+110+100+ l05+85=570$$
Required difference = $$570 - 525 =45$$
Question 5
1 / -0

Choose the correct answer from the alternatives given :
Directions for questions $$71$$ to $$75$$: Study the following graph carefully to answer these questions.
Production (in lakh tonnes) of six units of a company in $$2006$$ and $$2007$$.
What is the average production of all units (in lakh tonnes) for the year $$2007$$?

A
$$95$$

B
$$92$$

C
$$87$$

D
$$93$$

Solution

Average production of year $$2007$$
$$\frac{110+60+110+100+105+85}{6} =\frac{570}{6} = 95$$
Question 6
1 / -0

All the points lying inside the triangle formed by the points $$(0,4),(2,5)$$ and $$(6,2)$$ satisfy

A
$$3x+2y+8 > 0$$

B
$$2x+y-10 > 0$$

C
$$2x-3y-11 > 0$$

D
$$-2x+y-3 > 0$$

Solution
Question 7
1 / -0

If $$35\%$$ of the people residing in a locality are Sikhs then the central angle of the sector representing the Sikh community in the pie chart would be

A
$$108^\circ$$

B
$$115^\circ$$

C
$$126^\circ$$

D
$$135^\circ$$

Solution

We know that the total people residing in locality $$= 100\%$$
Sikh people residing in the same locality $$= 35\%$$
By using the formula,
Central angle of component = ((value of the component ) / Total value) $$\times 360^\circ$$
$$ = \left(\dfrac{35} { 100}\right) \times 360^\circ$$
$$= 126^\circ$$
Question 8
1 / -0

That point is called where $$ X X $$ and $$ Y^{\prime} Y $$ cuts each other

A
Co-ordinate

B
Origin

C
Vertical

D
Horizontal line

Solution

Correct choice is B.
Question 9
1 / -0

Three normal $$AA_1$$, $$BB_1$$ and $$CC_1$$ are drawn from a point P(h, k) to the parabola $$y^2=4ax$$, at A, B and C points. The following conditions are satisfied by the three normals.
(i) any two of three normals are coincide
(ii) S(a, $$0$$) be the focus of the parabola
(iii) Three normals be real, then $$h > 2a$$
(iv) Slopes of the normals are $$m_1, m_2$$ and $$m_3$$. If $$m_1m_2=\lambda$$, then the locus of P is a parabola
(v) P lies on the line $$y=\mu$$, then the sides of the triangle ABC touch the parabola $$S'=0$$.

SA SB SC is equal to.

A
$$a(SP)^2$$

B
$$2a(SP)^2$$

C
$$(aSP)^2$$

D
$$4a(SP)^2$$

Solution
Question 10
1 / -0

The number of points with integral co-ordinates that are interior to the circle $$x^{2} + y^{2} = 16$$ is

A
$$43$$

B
$$45$$

C
$$47$$

D
$$49$$

Solution