24740 + Interview Questions in Mathematics Page 66 InterviewSolution

3251.	What do you understand by the word ''statistics'' in(i) singular form (ii) plural form?
Answer» What do you understand by the word ''statistics'' in (i) singular form (ii) plural form?

Discussion

3252.	Draw a circle with centre at point O and radius 5 cm. Draw its chord AB, draw the perpendicular bisector of line segment AB. Does it pass through the centre of the circle ?
Answer» Draw a circle with centre at point O and radius 5 cm. Draw its chord AB, draw the perpendicular bisector of line segment AB. Does it pass through the centre of the circle ?

Discussion

3253.	Is zero a rational number? Can you write it in the form pq, where p and q are integers and q≠0?
Answer» Is zero a rational number? Can you write it in the form $\frac{p}{q}$ , where $p$ and $q$ are integers and $q \neq 0$ ?

Discussion

3254.	If →b and →c are mutually perpendicular non-collinear unit vectors and →a is any vector, then (→a⋅→b)→b+(→a⋅→c)→c+⎡⎢⎣→a⋅(→b×→c)\|→b×→c\|⎤⎥⎦(→b×→c)=
Answer» If $\to b$ and $\to c$ are mutually perpendicular non-collinear unit vectors and $\to a$ is any vector, then $(\to a \cdot \to b) \to b + (\to a \cdot \to c) \to c + ⎡ ⎢ ⎣ \frac{\to a \cdot (\to b \times \to c)}{\| \to b \times \to c \|} ⎤ ⎥ ⎦ (\to b \times \to c) =$

Discussion

3255.	Question 10 (ii)ABCD is a parallelogram and AP and CQ are perpendiculars from vertices A and C on diagonal BD( See the given figure). Show thatAP = CQ
Answer» Question 10 (ii) ABCD is a parallelogram and AP and CQ are perpendiculars from vertices A and C on diagonal BD( See the given figure). Show that AP = CQ

Discussion

3256.	A straight line is an angle with ___ measurement.
Answer» A straight line is an angle with ___ measurement.

Discussion

3257.	The diagonals AC and BD of a rectangle ABCD intersect each other at P. If ∠ABD=50∘,then ∠DPC=
Answer» The diagonals AC and BD of a rectangle ABCD intersect each other at P. If $∠ A B D = 50^{\circ}, t h e n ∠ D P C =$

Discussion

3258.	Area of a rectangle whose length is 2.8 m & perimeter is 10 m is
Answer» Area of a rectangle whose length is 2.8 m & perimeter is 10 m is

Discussion

3259.	Find the perimeter (in m) of the given swimming pool.28
Answer» Find the perimeter (in m) of the given swimming pool. 28

Discussion

3260.	Find the class-mark of the class 35-40.
Answer» Find the class-mark of the class 35-40.

Discussion

3261.	Give an easy way to solve calendar.
Answer» Give an easy way to solve calendar.

Discussion

3262.	Write the linear equations in two variables for the given information :The larger of two supplementary angles exceeds the smaller by 18 degrees.
Answer» Write the linear equations in two variables for the given information : The larger of two supplementary angles exceeds the smaller by 18 degrees.

Discussion

3263.	Can a triangle have:(i) Two right angles?(ii) Two obtuse angles?(iii) Two acute angles?(iv) All angles more than 60°?(v) All angles less than 60°?(vi) All angles equal to 60°?
Answer» Can a triangle have: (i) Two right angles? (ii) Two obtuse angles? (iii) Two acute angles? (iv) All angles more than 60°? (v) All angles less than 60°? (vi) All angles equal to 60°?

Discussion

3264.	If point 0 represents the origin (0,0), then what will be the coordinates of point J shown below?
Answer» If point 0 represents the origin (0,0), then what will be the coordinates of point J shown below?

3264.

If point 0 represents the origin (0,0), then what will be the coordinates of point J shown below?

Answer»

If point 0 represents the origin (0,0), then what will be the coordinates of point J shown below?

Discussion

3265.	The figure shows a parallelogram PQRS, in which A is midpoint of PQ and B is the midpoint of RS. Prove that SX = XY.
Answer» The figure shows a parallelogram PQRS, in which A is midpoint of PQ and B is the midpoint of RS. Prove that SX = XY.

Discussion

3266.	In a given figure, BE is a median of △ABD and the area of parallelogram ABCD is 24 cm2. Find the area of △ABE.
Answer» In a given figure, BE is a median of $△ A B D$ and the area of parallelogram ABCD is $24 c m^{2}$ . Find the area of $△ A B E$ .

3266.

In a given figure, BE is a median of △ABD and the area of parallelogram ABCD is 24 cm2. Find the area of △ABE.

Answer»

In a given figure, BE is a median of $△ A B D$ and the area of parallelogram ABCD is $24 c m^{2}$ . Find the area of $△ A B E$ .

Discussion

3267.	Fill in the blanks:___ – 15 = –10
Answer» Fill in the blanks: ___ – 15 = –10

3267.

Fill in the blanks:___ – 15 = –10

Answer»

Fill in the blanks:

___ – 15 = –10

Discussion

3268.	How many more cookies did you eat on Monday than on Wednesday? (🍪 = 1 cookie)DayCookies you ateMonday🍪🍪🍪🍪Tuesday🍪🍪🍪Wednesday🍪🍪Thursday🍪🍪🍪Friday🍪🍪🍪🍪🍪Saturday🍪🍪Sunday🍪2
Answer» How many more cookies did you eat on Monday than on Wednesday? (🍪 = 1 cookie) $\begin{matrix} Day & Cookies you ate Monday & 🍪 🍪 🍪 🍪 Tuesday & 🍪 🍪 🍪 Wednesday & 🍪 🍪 Thursday & 🍪 🍪 🍪 Friday & 🍪 🍪 🍪 🍪 🍪 Saturday & 🍪 🍪 Sunday & 🍪 \end{matrix}$ 2

Discussion

3269.	Find the value for (998)3.
Answer» Find the value for ${(998)}^{3}$ .

Discussion

3270.	Lim x tends to 5 x^4-625 / x-5
Answer» Lim x tends to 5 x^4-625 / x-5

Discussion

3271.	Identify constant, linear, quadratic and cubic polynomials from the following polynomials : (i) f(x) = 0 (ii) g(x) = 2x3 - 7x + 4 (iii) h(x) = - 3x + 12 (iv) p(x) = 2x2 - x + 4 (v) q(x) = 4x + 3 (vi) r(x) = 3x3+4x2 + 5x - 7
Answer» Identify constant, linear, quadratic and cubic polynomials from the following polynomials : (i) f(x) = 0 (ii) g(x) = $2 x^{3}$ - 7x + 4 (iii) h(x) = - 3x + $\frac{1}{2}$ (iv) p(x) = $2 x^{2}$ - x + 4 (v) q(x) = 4x + 3 (vi) r(x) = $3 x^{3} + 4 x^{2}$ + 5x - 7

3271.

Identify constant, linear, quadratic and cubic polynomials from the following polynomials : (i) f(x) = 0 (ii) g(x) = 2x3 - 7x + 4 (iii) h(x) = - 3x + 12 (iv) p(x) = 2x2 - x + 4 (v) q(x) = 4x + 3 (vi) r(x) = 3x3+4x2 + 5x - 7

Answer»

Identify constant, linear, quadratic and cubic polynomials from the following polynomials :

(i) f(x) = 0

(ii) g(x) = $2 x^{3}$ - 7x + 4

(iii) h(x) = - 3x + $\frac{1}{2}$

(iv) p(x) = $2 x^{2}$ - x + 4

(v) q(x) = 4x + 3

(vi) r(x) = $3 x^{3} + 4 x^{2}$ + 5x - 7

Discussion

3272.	How to convert km/hr into m/s?
Answer» How to convert km/hr into m/s?

Discussion

3273.	What is the volume of the aluminium used to make a hemisphere of inner radius 7 cm and thickness 1 cm? [use π=227]
Answer» What is the volume of the aluminium used to make a hemisphere of inner radius 7 cm and thickness 1 cm? [ $u s e π = \frac{22}{7}$ ]

Discussion

3274.	Lowest form of fraction 0.6 is
Answer» Lowest form of fraction 0.6 is

Discussion

3275.	Question 85 (iii)Expand the following, using suitable identities.(45a+54b)2
Answer» Question 85 (iii) Expand the following, using suitable identities. ${(\frac{4}{5} a + \frac{5}{4} b)}^{2}$

3275.

Question 85 (iii)Expand the following, using suitable identities.(45a+54b)2

Answer»

Question 85 (iii)

Expand the following, using suitable identities.

${(\frac{4}{5} a + \frac{5}{4} b)}^{2}$

Discussion

3276.	In ∆ABC and ∆PQR, if ∠A = ∠Q, ∠B = ∠R and PR = AC, then two triangles are congruent by __________ criterion.
Answer» In ∆ABC and ∆PQR, if ∠A = ∠Q, ∠B = ∠R and PR = AC, then two triangles are congruent by __________ criterion.

Discussion

3277.	The difference between the measures of the two angles of a complementary pair is 40°. Find the measures of the two angles.
Answer» The difference between the measures of the two angles of a complementary pair is 40^°. Find the measures of the two angles.

Discussion

3278.	If the zeroes of p(x) are double the zeroes of the polynomial q(x) = x2−4x+3, then p(x) is
Answer» If the zeroes of p(x) are double the zeroes of the polynomial q(x) = $x^{2} - 4 x + 3$ , then p(x) is

Discussion

3279.	Multiply:(i) x2 + y2 + z2 − xy + xz + yz by x + y − z(ii) x2 + 4y2 + z3 + 2xy + xz − 2yz by x − 2y − z(iii) x2 + 4y2 + 2xy − 3x + 6y + 9 by x − 2y + 3(iv) 9x2 + 25y2 + 15xy + 12x − 20y + 16 by 3x − 5y + 4
Answer» Multiply: (i) x² + y² + z² − xy + xz + yz by x + y − z (ii) x² + 4y² + z³ + 2xy + xz − 2yz by x − 2y − z (iii) x²+ 4y² + 2xy − 3x + 6y + 9 by x − 2y + 3 (iv) 9x² + 25y² + 15xy + 12x − 20y + 16 by 3x − 5y + 4

Discussion

3280.	Two business owners Shveta and Ashok run their businesses in two different states. Each of them, independent of the other, produces two products A and B, sell them at Rs. 2,000 per kg and Rs. 3,000 per kg, respectively, and uses Linear Programming to determine the optimal quantity of A and B to maximize their respective daily revenue.Their constraints are as follows: (i) for each business owner, the production process is such that the daily production of A has to be at least as much as B, and the upper limit for production of B is 10 kg per day, and (ii) the respective state regulations restrict Shveta's production of a to less than 20 kg per day and Ashok's production of A to less than 15 kg per day. The demand of both A and B in both the states is very high and everything produced is sold.The absolute value of the difference in daily (optimal) revenue of Shveta and Ashok is thousand Rupees (round off to 2 decimal places)10
Answer» Two business owners Shveta and Ashok run their businesses in two different states. Each of them, independent of the other, produces two products A and B, sell them at Rs. 2,000 per kg and Rs. 3,000 per kg, respectively, and uses Linear Programming to determine the optimal quantity of A and B to maximize their respective daily revenue. Their constraints are as follows: (i) for each business owner, the production process is such that the daily production of A has to be at least as much as B, and the upper limit for production of B is 10 kg per day, and (ii) the respective state regulations restrict Shveta's production of a to less than 20 kg per day and Ashok's production of A to less than 15 kg per day. The demand of both A and B in both the states is very high and everything produced is sold. The absolute value of the difference in daily (optimal) revenue of Shveta and Ashok is thousand Rupees (round off to 2 decimal places) 10

Discussion

3281.	x6 - 729 (Factorise)
Answer» x⁶- 729 (Factorise)

Discussion

3282.	38. Pqrs is a square of side 4 cm psr and qsr are two quadrants of a circles. Find the area of the circle touching a side and both the quadrants
Answer» 38. Pqrs is a square of side 4 cm psr and qsr are two quadrants of a circles. Find the area of the circle touching a side and both the quadrants

Discussion

3283.	If (x-1, y +3) = (7, -7), then find the values of x and y, respectively.
Answer» If (x-1, y +3) = (7, -7), then find the values of x and y, respectively.

Discussion

3284.	In the figure given below, sides PB and QA are perpendiculars drawn to the line segment AB.If PO = 6 cm, QO = 9 cm, and area of ΔPOB=120 cm2, then find the area of ΔQOA.
Answer» In the figure given below, sides PB and QA are perpendiculars drawn to the line segment AB. If PO = 6 cm, QO = 9 cm, and area of $Δ P O B = 120 c m^{2}$ , then find the area of $Δ Q O A$ .

3284.

In the figure given below, sides PB and QA are perpendiculars drawn to the line segment AB.If PO = 6 cm, QO = 9 cm, and area of ΔPOB=120 cm2, then find the area of ΔQOA.

Answer»

In the figure given below, sides PB and QA are perpendiculars drawn to the line segment AB.

If PO = 6 cm, QO = 9 cm, and area of $Δ P O B = 120 c m^{2}$ , then find the area of $Δ Q O A$ .

Discussion

3285.	The sum and the product of the quadratic equation(pq−qp)x2−(1p+1q)x−(1p−1q)=0are and respectively.
Answer» The sum and the product of the quadratic equation $(\frac{p}{q} - \frac{q}{p}) x^{2} - (\frac{1}{p} + \frac{1}{q}) x - (\frac{1}{p} - \frac{1}{q}) = 0$ are and respectively.

Discussion

3286.	What is the circumradius of a regular hexagon of sides 6 cm?
Answer» What is the circumradius of a regular hexagon of sides 6 cm?

Discussion

3287.	How to represent 2√2 on the number line if its whole number value is not known? Write the steps and diagramatically show how to draw it.
Answer» How to represent 2√2 on the number line if its whole number value is not known? Write the steps and diagramatically show how to draw it.

Discussion

3288.	Question 2(a) Give a rough estimate (by rounding off to nearest hundreds) and also a closer estimate (by rounding off to nearest tens): 439 + 334 + 4317
Answer» Question 2(a) Give a rough estimate (by rounding off to nearest hundreds) and also a closer estimate (by rounding off to nearest tens): 439 + 334 + 4317

Discussion

3289.	If O is the center of the circle, then what is the radius of the circle?
Answer» If O is the center of the circle, then what is the radius of the circle?

Discussion

3290.	Reduce 289391 to the lowest terms
Answer» Reduce $\frac{289}{391}$ to the lowest terms

Discussion

3291.	E and F are points on diagonal AC of parallelogram ABCD such that AE = CF. Show that BFDE is a parallelogram.
Answer» E and F are points on diagonal AC of parallelogram ABCD such that AE = CF. Show that BFDE is a parallelogram.

Discussion

3292.	A certain sum of money amounts to ₹6655 in 3 years, compounded annually at the rate of 10% per annum. Find the sum.5000
Answer» A certain sum of money amounts to ₹6655 in 3 years, compounded annually at the rate of 10% per annum. Find the sum. 5000

Discussion

3293.	Question 6 If angles A, B, C and D of the quadrilateral ABCD, taken in order are in the ratio 3: 7: 6: 4, then ABCD is a (A) rhombus (B) parallelogram (C) trapezium (D) kite
Answer» Question 6 If angles A, B, C and D of the quadrilateral ABCD, taken in order are in the ratio 3: 7: 6: 4, then ABCD is a (A) rhombus (B) parallelogram (C) trapezium (D) kite

Discussion

3294.	Supposed tree 'T' has 10 vertices of degree 4, 20 vertices of degree 3 and 30 vertices of degree 2. If all of the rest of vertices are of degree 1, then the number of verties 'T' have is ___________102
Answer» Supposed tree 'T' has 10 vertices of degree 4, 20 vertices of degree 3 and 30 vertices of degree 2. If all of the rest of vertices are of degree 1, then the number of verties 'T' have is ___________ 102

Discussion

3295.

From the following Receipts and Payments Account of Mumbai Theatre Club, prepare Income and Expenditure Account for the year ended 31st March, 2019 and Balance Sheet as at that date: RECEIPTS AND PAYMENTS ACCOUNT Dr. Cr. Receipts (₹) Payments (₹) To Balance b/d: By Salary 20,000 Cash and Bank 1,40,000 By Repair Expenses 5,000 To Donations 50,000 By Furniture 60,000 To Subscriptions 1,20,000 By Miscellaneous Expenses 5,000 To Entrance Fees 10,000 By Investments 60,000 To Interest on Investments 1,000 By Insurance Premium 2,000 To Interest Received from Bank 4,000 By Billiard Table 80,000 To Sale of Old Newspapers 1,500 By Paper, lnk, etc. 1,500 To Sale of Drama Tickets 10,500 By Drama Expenses 5,000 By Balance c/d: Cash and Bank 98,500 3,37,000 3,37,000 Additional Information:(i) Subscriptions in arrear for the year ended 31st March, 2019 ₹ 9,000 and subscriptions in advance for the year ending 31st March, 2020 ₹ 3,500.(ii) Insurance Premium outstanding ₹ 400.(iii) Miscellaneous expenses prepaid ₹ 900.(iv) 8% interest has accrued on investment for five months.(v) Billiard Table costing ₹ 3,00,000 was purchased during last year and ₹ 2,20,000 were paid for it.

Answer» From the following Receipts and Payments Account of Mumbai Theatre Club, prepare Income and Expenditure Account for the year ended 31st March, 2019 and Balance Sheet as at that date:

RECEIPTS AND PAYMENTS ACCOUNT
Dr.			Cr.
Receipts	(₹)	Payments	(₹)
To Balance b/d:		By Salary	20,000
Cash and Bank	1,40,000	By Repair Expenses	5,000
To Donations	50,000	By Furniture	60,000
To Subscriptions	1,20,000	By Miscellaneous Expenses	5,000
To Entrance Fees	10,000	By Investments	60,000
To Interest on Investments	1,000	By Insurance Premium	2,000
To Interest Received from Bank	4,000	By Billiard Table	80,000
To Sale of Old Newspapers	1,500	By Paper, lnk, etc.	1,500
To Sale of Drama Tickets	10,500	By Drama Expenses	5,000
		By Balance c/d:
		Cash and Bank	98,500
	3,37,000		3,37,000

Additional Information:

(i) Subscriptions in arrear for the year ended 31st March, 2019 ₹ 9,000 and subscriptions in advance for the year ending 31st March, 2020 ₹ 3,500.

(ii) Insurance Premium outstanding ₹ 400.

(iii) Miscellaneous expenses prepaid ₹ 900.

(iv) 8% interest has accrued on investment for five months.

(v) Billiard Table costing ₹ 3,00,000 was purchased during last year and ₹ 2,20,000 were paid for it.

Discussion

3296.	Is zero a rational number? Can you write it in the form pq, where p and q are integers and q≠0?
Answer» Is zero a rational number? Can you write it in the form $\frac{p}{q}$ , where p and q are integers and $q \neq 0$ ?

Discussion

3297.	The points P(1,1),Q(−1.−1) and R(−√3,√3) are the vertices of a triangle. The triangle is
Answer» The points $P (1, 1), Q (- 1. - 1)$ and $R (- \sqrt{3}, \sqrt{3})$ are the vertices of a triangle. The triangle is

Discussion

3298.	In figure , BC is a diameter of the circle, AC = 6cm and AB = 8 cm. Find the area of the shaded region. (use π=3.14)
Answer» In figure , BC is a diameter of the circle, AC = 6cm and AB = 8 cm. Find the area of the shaded region. (use $π = 3.14$ )

Discussion

3299.	From the figure given below, find out the measure of ∠COB and ∠AOC respectively.
Answer» From the figure given below, find out the measure of $∠$ COB and $∠$ AOC respectively.

3299.

From the figure given below, find out the measure of ∠COB and ∠AOC respectively.

Answer»

From the figure given below, find out the measure of $∠$ COB and $∠$ AOC respectively.

Discussion

3300.	Write the following cubes in expanded form: (x - 2y3)3
Answer» Write the following cubes in expanded form: (x - $\frac{2 y}{3})^{3}$

Discussion

Explore topic-wise InterviewSolutions in .

What do you understand by the word ''statistics'' in(i) singular form (ii) plural form?

Draw a circle with centre at point O and radius 5 cm. Draw its chord AB, draw the perpendicular bisector of line segment AB. Does it pass through the centre of the circle ?

Is zero a rational number? Can you write it in the form pq, where p and q are integers and q≠0?

If →b and →c are mutually perpendicular non-collinear unit vectors and →a is any vector, then (→a⋅→b)→b+(→a⋅→c)→c+⎡⎢⎣→a⋅(→b×→c)|→b×→c|⎤⎥⎦(→b×→c)=

Question 10 (ii)ABCD is a parallelogram and AP and CQ are perpendiculars from vertices A and C on diagonal BD( See the given figure). Show thatAP = CQ

A straight line is an angle with ___ measurement.

The diagonals AC and BD of a rectangle ABCD intersect each other at P. If ∠ABD=50∘,then ∠DPC=

Area of a rectangle whose length is 2.8 m &amp; perimeter is 10 m is

Find the perimeter (in m) of the given swimming pool.28

Find the class-mark of the class 35-40.

Give an easy way to solve calendar.

Write the linear equations in two variables for the given information :The larger of two supplementary angles exceeds the smaller by 18 degrees.

Can a triangle have:(i) Two right angles?(ii) Two obtuse angles?(iii) Two acute angles?(iv) All angles more than 60°?(v) All angles less than 60°?(vi) All angles equal to 60°?

If point 0 represents the origin (0,0), then what will be the coordinates of point J shown below?​​

The figure shows a parallelogram PQRS, in which A is midpoint of PQ and B is the midpoint of RS. Prove that SX = XY.

In a given figure, BE is a median of △ABD and the area of parallelogram ABCD is 24 cm2. Find the area of △ABE.

Fill in the blanks:___ – 15 = –10

How many more cookies did you eat on Monday than on Wednesday? (🍪 = 1 cookie)DayCookies you ateMonday🍪🍪🍪🍪Tuesday🍪🍪🍪Wednesday🍪🍪Thursday🍪🍪🍪Friday🍪🍪🍪🍪🍪Saturday🍪🍪Sunday🍪2

Find the value for (998)3.

Lim x tends to 5 x^4-625 / x-5

Identify constant, linear, quadratic and cubic polynomials from the following polynomials : (i) f(x) = 0 (ii) g(x) = 2x3 - 7x + 4 (iii) h(x) = - 3x + 12 (iv) p(x) = 2x2 - x + 4 (v) q(x) = 4x + 3 (vi) r(x) = 3x3+4x2 + 5x - 7

How to convert km/hr into m/s?

What is the volume of the aluminium used to make a hemisphere of inner radius 7 cm and thickness 1 cm? [use π=227]

Lowest form of fraction 0.6 is

Question 85 (iii)Expand the following, using suitable identities.(45a+54b)2

In ∆ABC and ∆PQR, if ∠A = ∠Q, ∠B = ∠R and PR = AC, then two triangles are congruent by __________ criterion.

The difference between the measures of the two angles of a complementary pair is 40°. Find the measures of the two angles.

If the zeroes of p(x) are double the zeroes of the polynomial q(x) = x2−4x+3, then p(x) is

Multiply:(i) x2 + y2 + z2 − xy + xz + yz by x + y − z(ii) x2 + 4y2 + z3 + 2xy + xz − 2yz by x − 2y − z(iii) x2 + 4y2 + 2xy − 3x + 6y + 9 by x − 2y + 3(iv) 9x2 + 25y2 + 15xy + 12x − 20y + 16 by 3x − 5y + 4

x​​​​​​6 - 729 (Factorise)

38. Pqrs is a square of side 4 cm psr and qsr are two quadrants of a circles. Find the area of the circle touching a side and both the quadrants

If (x-1, y +3) = (7, -7), then find the values of x and y, respectively.

In the figure given below, sides PB and QA are perpendiculars drawn to the line segment AB.If PO = 6 cm, QO = 9 cm, and area of ΔPOB=120 cm2, then find the area of ΔQOA.

The sum and the product of the quadratic equation(pq−qp)x2−(1p+1q)x−(1p−1q)=0are and respectively.

What is the circumradius of a regular hexagon of sides 6 cm?

How to represent 2√2 on the number line if its whole number value is not known? Write the steps and diagramatically show how to draw it.

Question 2(a) Give a rough estimate (by rounding off to nearest hundreds) and also a closer estimate (by rounding off to nearest tens): 439 + 334 + 4317

If O is the center of the circle, then what is the radius of the circle?

Reduce 289391 to the lowest terms

E and F are points on diagonal AC of parallelogram ABCD such that AE = CF. Show that BFDE is a parallelogram.

A certain sum of money amounts to ₹6655 in 3 years, compounded annually at the rate of 10% per annum. Find the sum.5000

Question 6 If angles A, B, C and D of the quadrilateral ABCD, taken in order are in the ratio 3: 7: 6: 4, then ABCD is a (A) rhombus (B) parallelogram (C) trapezium (D) kite

Supposed tree 'T' has 10 vertices of degree 4, 20 vertices of degree 3 and 30 vertices of degree 2. If all of the rest of vertices are of degree 1, then the number of verties 'T' have is ___________102

Is zero a rational number? Can you write it in the form pq, where p and q are integers and q≠0?

The points P(1,1),Q(−1.−1) and R(−√3,√3) are the vertices of a triangle. The triangle is

In figure , BC is a diameter of the circle, AC = 6cm and AB = 8 cm. Find the area of the shaded region. (use π=3.14)

From the figure given below, find out the measure of ∠COB and ∠AOC respectively.

Write the following cubes in expanded form: (x - 2y3)3

Area of a rectangle whose length is 2.8 m & perimeter is 10 m is

If point 0 represents the origin (0,0), then what will be the coordinates of point J shown below?

x6 - 729 (Factorise)