32581 + Interview Questions in Mathematics Page 84 InterviewSolution

4151.	On of the zeros of the polynomial f(x) = 2x2 + 7x – 4 is(a) 2(b) 12(c) -12(d) –2
Answer» On of the zeros of the polynomial f(x) = 2x² + 7x – 4 is (a) 2 (b) $\frac{1}{2}$ (c) $- \frac{1}{2}$ (d) –2

Discussion

4152.	Why degree of zero polynomial is undeined ?
Answer» Why degree of zero polynomial is undeined ?

Discussion

4153.	sin 15° sec 75° + cos 42° cosec 48° = ___.
Answer» sin 15° sec 75° + cos 42° cosec 48° = ___.

Discussion

4154.	34. A tree 12m high is broken by the wind in such a way that it's top touches the ground and makes an angle 60 with the ground at what height from the bottom the tree is broken by the wind
Answer» 34. A tree 12m high is broken by the wind in such a way that it's top touches the ground and makes an angle 60 with the ground at what height from the bottom the tree is broken by the wind

Discussion

4155.	At θ=90∘ which of the following trigonometric ratios are not defined?
Answer» At $θ = 90^{\circ}$ which of the following trigonometric ratios are not defined?

Discussion

4156.	If the roots of the equation lx2+nx+n = 0, l ¹ 0 are in the ratio p : q, then (p/q)1/2+(q/p)1/2+(n/l)1/2
Answer» If the roots of the equation $l x^{2} + n x + n$ = 0, l ¹ 0 are in the ratio p : q, then ${(p / q)}^{1 / 2} + {(q / p)}^{1 / 2} + {(n / l)}^{1 / 2}$

Discussion

4157.	The four angle of a cyclic quuadrilateral ABCD taken in order are 2x-12 degree ,x-16 degree ,y+10degree and 5y-30 degree.Find the measures of all angles of quadrilateral Abcd.
Answer» The four angle of a cyclic quuadrilateral ABCD taken in order are 2x-12 degree ,x-16 degree ,y+10degree and 5y-30 degree.Find the measures of all angles of quadrilateral Abcd.

Discussion

4158.	In the given diagram, O is the centre of the circle and chord AB = chord BC.(i) What is the relation between arc AB and arc BC?(ii) What is the relation between ∠AOB and ∠BOC? [1 Mark]
Answer» In the given diagram, O is the centre of the circle and chord AB = chord BC. (i) What is the relation between arc AB and arc BC? (ii) What is the relation between $∠ A O B$ and $∠ B O C$ ? [1 Mark]

4158.

In the given diagram, O is the centre of the circle and chord AB = chord BC.(i) What is the relation between arc AB and arc BC?(ii) What is the relation between ∠AOB and ∠BOC? [1 Mark]

Answer»

In the given diagram, O is the centre of the circle and chord AB = chord BC.

(i) What is the relation between arc AB and arc BC?

(ii) What is the relation between $∠ A O B$ and $∠ B O C$ ? [1 Mark]

Discussion

4159.	(i) Puneet has a Recurring Deposit Account in the Bank of Baroda and deposits Rs 140 per month for 4 years. If he gets Rs 8,092 on maturity, find the rate of interest given by the bank. (ii) David opened a Recurring Deposit Account in a bank and deposited Rs 300 per month for two years. If he received Rs 7,725 at the time of maturity, find the rate of interest per annum.
Answer» (i) Puneet has a Recurring Deposit Account in the Bank of Baroda and deposits Rs 140 per month for 4 years. If he gets Rs 8,092 on maturity, find the rate of interest given by the bank. (ii) David opened a Recurring Deposit Account in a bank and deposited Rs 300 per month for two years. If he received Rs 7,725 at the time of maturity, find the rate of interest per annum.

4159.

(i) Puneet has a Recurring Deposit Account in the Bank of Baroda and deposits Rs 140 per month for 4 years. If he gets Rs 8,092 on maturity, find the rate of interest given by the bank. (ii) David opened a Recurring Deposit Account in a bank and deposited Rs 300 per month for two years. If he received Rs 7,725 at the time of maturity, find the rate of interest per annum.

Answer»

(i) Puneet has a Recurring Deposit Account in the Bank of Baroda and deposits Rs 140 per month for 4 years. If he gets Rs 8,092 on maturity, find the rate of interest given by the bank.

(ii) David opened a Recurring Deposit Account in a bank and deposited Rs 300 per month for two years. If he received Rs 7,725 at the time of maturity, find the rate of interest per annum.

Discussion

4160.	If two tangents inclined at an angle of 600 are drawn to a circle of radius 3 cm , then length of each tangent is equal to (a) 332 (b) 6 cm (c) 3 cm (d) 33 cm
Answer» If two tangents inclined at an angle of 60⁰ are drawn to a circle of radius 3 cm , then length of each tangent is equal to (a) $\frac{3 \sqrt{3}}{2}$ (b) 6 cm (c) 3 cm (d) $3 \sqrt{3}$ cm

Discussion

4161.	Prove that in a triangle, other than an equilateral triangle, angle opposite the longest side is greater than 23 of a right angle.
Answer» Prove that in a triangle, other than an equilateral triangle, angle opposite the longest side is greater than $\frac{2}{3}$ of a right angle.

Discussion

4162.	Question 4 (v)State whether the following are true or false. Justify your answer.(v) cot A is not defined for A=0∘.
Answer» Question 4 (v) State whether the following are true or false. Justify your answer. (v) cot A is not defined for $A = 0^{\circ}$ .

Discussion

4163.	In Figure 5, ∆ABC is right angled at B, BC = 7 cm and AC − AB = 1 cm. Find the value of cos A − sin A.
Answer» In Figure 5, ∆ABC is right angled at B, BC = 7 cm and AC − AB = 1 cm. Find the value of cos A − sin A.

Discussion

4164.	The ratio in which (4, 5) divides the join of (2, 3) and (7, 8) is(a) −2 : 3(b) −3 : 2(c) 3 : 2(d) 2 : 3
Answer» The ratio in which (4, 5) divides the join of (2, 3) and (7, 8) is (a) −2 : 3 (b) −3 : 2 (c) 3 : 2 (d) 2 : 3

Discussion

4165.	Which of the following is not a quadratic equation?
Answer» Which of the following is not a quadratic equation?

Discussion

4166.	What is the total surface area of the square pyramid whose base edge is 6 cm long and the lateral faces are equilateral triangles?
Answer» What is the total surface area of the square pyramid whose base edge is 6 cm long and the lateral faces are equilateral triangles?

Discussion

4167.	If 16 cot x = 12, then what will be the value of sin x−cos xsin x+cos x
Answer» If 16 cot x = 12, then what will be the value of $\frac{sin x - cos x}{sin x + cos x}$

Discussion

4168.	From an external point P, tangents PA=PB are drawn to a circle with centre O. If ∠PAB=50∘, then find ∠AOB.
Answer» From an external point P, tangents PA=PB are drawn to a circle with centre O. If $∠ P A B = 50^{\circ}$ , then find $∠ A O B .$

Discussion

4169.	In the given figure △ABC is equilateral. The ratio IE : IB = ____.
Answer» In the given figure $△ A B C$ is equilateral. The ratio IE : IB = ____.

4169.

In the given figure △ABC is equilateral. The ratio IE : IB = ____.

Answer»

In the given figure $△ A B C$ is equilateral. The ratio IE : IB = ____.

Discussion

4170.	In the following figure, ABC and DBC are two triangles on the same base BC. If AD intersects BC at O, show that
Answer» In the following figure, ABC and DBC are two triangles on the same base BC. If AD intersects BC at O, show that

4170.

In the following figure, ABC and DBC are two triangles on the same base BC. If AD intersects BC at O, show that

Answer»

In the following figure, ABC and DBC are two triangles on the same base BC. If AD intersects BC at O, show that

Discussion

4171.	If the sum of the first n terms of an A.P is 4n − n2, What is the first term? What is the sum of first two terms? What is the second term? Similarly, find the third, the tenth and the nth terms.
Answer» If the sum of the first n terms of an A.P is 4n − n², What is the first term? What is the sum of first two terms? What is the second term? Similarly, find the third, the tenth and the nth terms.

Discussion

4172.	The cost of carpeting a room 15 m long with a carpet Rs. 75 cm wide, at Rs.70 per metre, is Rs. 8400.The width of the room is (a) 9 m (b) 8 m (c) 6 m (d) 12 m
Answer» The cost of carpeting a room 15 m long with a carpet Rs. 75 cm wide, at Rs.70 per metre, is Rs. 8400.The width of the room is (a) 9 m (b) 8 m (c) 6 m (d) 12 m

4172.

The cost of carpeting a room 15 m long with a carpet Rs. 75 cm wide, at Rs.70 per metre, is Rs. 8400.The width of the room is (a) 9 m (b) 8 m (c) 6 m (d) 12 m

Answer»

The cost of carpeting a room 15 m long with a carpet Rs. 75 cm wide, at Rs.70 per metre, is Rs. 8400.The width of the room is

(a) 9 m (b) 8 m (c) 6 m (d) 12 m

Discussion

4173.

If the mean of the following data is 20.6. Find the value of p. x: 10 15 p 25 35 f: 3 10 25 7 5

Answer» If the mean of the following data is 20.6. Find the value of p.

x:	10	15	p	25	35
f:	3	10	25	7	5

Discussion

4174.	Question 14If P(-1, 1), Q(3, - 4 ), R(1 - 1), S(- 2, -3) and T(-4, 4) are plotted on the graph paper, then the points(s) in the fourth quadrant is /are:A) P and TB) Q and RC) Only SD) P and R
Answer» Question 14 If P(-1, 1), Q(3, - 4 ), R(1 - 1), S(- 2, -3) and T(-4, 4) are plotted on the graph paper, then the points(s) in the fourth quadrant is /are: A) P and T B) Q and R C) Only S D) P and R

Discussion

4175.	Let A and B are two square matrices and AB = A and BA = B, then ( A+ B)^{3 ^ }is equal to
Answer» Let A and B are two square matrices and AB = A and BA = B, then ( A+ B)^{3 ^ }is equal to

Discussion

4176.	What is the probability that a leap year has 53 Tuesdays and 53 Mondays?
Answer» What is the probability that a leap year has 53 Tuesdays and 53 Mondays?

Discussion

4177.	Question 3 (i)On comparing the ratios a1a2, b1b2 and c1c2 find out whether the following pairs of linear equations are consistent, or inconsistent. 3x + 2y = 5 ; 2x - 3y = 7
Answer» Question 3 (i) On comparing the ratios $\frac{a_{1}}{a_{2}}$ , $\frac{b_{1}}{b_{2}}$ and $\frac{c_{1}}{c_{2}}$ find out whether the following pairs of linear equations are consistent, or inconsistent. 3x + 2y = 5 ; 2x - 3y = 7

Discussion

4178.	The radius and the slant height of a cone are in the ratio 4 : 7. If its curved surface area is 792 cm2, find its radius. (Use π=227)
Answer» The radius and the slant height of a cone are in the ratio 4 : 7. If its curved surface area is 792 $c m^{2}$ , find its radius. $(U s e π = \frac{22}{7})$

Discussion

4179.	If A(4, – 1), B(6, 0), C(7, 2) and D(5, 1) are the vertices of a rhombus then the area of the rhombus is ___
Answer» If A(4, – 1), B(6, 0), C(7, 2) and D(5, 1) are the vertices of a rhombus then the area of the rhombus is ___

4179.

If A(4, – 1), B(6, 0), C(7, 2) and D(5, 1) are the vertices of a rhombus then the area of the rhombus is ___

Answer»

If A(4, – 1), B(6, 0), C(7, 2) and D(5, 1) are the vertices of a rhombus then the area of the rhombus is ___

Discussion

4180.	Explain the method that uses 2 rays to divide a line segment of length X cm in the ratio m:n.
Answer» Explain the method that uses 2 rays to divide a line segment of length X cm in the ratio m:n.

Discussion

4181.	The difference f squares fo two numbers is 88. If the larger number is 5 less than twice the smaller number, then find the two numbers.
Answer» The difference f squares fo two numbers is 88. If the larger number is 5 less than twice the smaller number, then find the two numbers.

Discussion

4182.	CArds bearing numbers 1, 3, 5,..., 35 are kept in a bag. A card is drawn at random from the bag. Find the probability of getting a card bearing (iI) a prime number less than 15, (ii) a number divisible by 3 and 5.
Answer» CArds bearing numbers 1, 3, 5,..., 35 are kept in a bag. A card is drawn at random from the bag. Find the probability of getting a card bearing (iI) a prime number less than 15, (ii) a number divisible by 3 and 5.

Discussion

4183.	A steel plate is 300 mm wide and 10 mm thick. If the diameter of the bolt hole is 20 mm, the net sectional area of the plate is:
Answer» A steel plate is 300 mm wide and 10 mm thick. If the diameter of the bolt hole is 20 mm, the net sectional area of the plate is:

Discussion

4184.	Two vertices of a triangle are(3,-5) and (-7,4).if its centroid is (2,-1) find the third vertex
Answer» Two vertices of a triangle are(3,-5) and (-7,4).if its centroid is (2,-1) find the third vertex

Discussion

4185.	Write the steps of construction to construct the tangents to a circle from an external point. [CBSE 2017]
Answer» Write the steps of construction to construct the tangents to a circle from an external point. [CBSE 2017]

Discussion

4186.	Let A={1,2,3,4,5,6,7,8,9,10} and B={2,3,5,7}.Find A∩B and hence show that A∩B=B.
Answer» Let $A = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}$ and $B = {2, 3, 5, 7}$ . Find $A \cap B$ and hence show that $A \cap B = B$ .

Discussion

4187.	Which of the following statement is true for the inequation 2x+5>27?
Answer» Which of the following statement is true for the inequation $2 x + 5 > 27$ ?

Discussion

4188.	If LCM of two numbers is equal to the greater number, then its HCF ____.
Answer» If LCM of two numbers is equal to the greater number, then its HCF ____.

Discussion

4189.	What is meant by the ‘volume’ of an object?
Answer» What is meant by the ‘volume’ of an object?

Discussion

4190.	Which of the following is an irrational number ? (a) 227 (b) 3.1416 (c) 3.¯¯¯¯¯¯¯¯¯¯¯1416 (d) 3.141141114
Answer» Which of the following is an irrational number ? (a) $\frac{22}{7}$ (b) 3.1416 (c) $3. ¯ ¯¯¯¯¯¯¯¯¯ ¯ 1416$ (d) 3.141141114

4190.

Which of the following is an irrational number ? (a) 227 (b) 3.1416 (c) 3.¯¯¯¯¯¯¯¯¯¯¯1416 (d) 3.141141114

Answer»

Which of the following is an irrational number ?

(a) $\frac{22}{7}$ (b) 3.1416

(c) $3. ¯ ¯¯¯¯¯¯¯¯¯ ¯ 1416$ (d) 3.141141114

Discussion

4191.	Calculate the circumference of a circle whose radius is 5 inches.
Answer» Calculate the circumference of a circle whose radius is 5 inches.

Discussion

4192.	30.Aravind observed that a bird is sitting on a tree towards the East the angle of elevation of the bird is 45^° .He then moves to 10m south and finds the angle of elevation of the bird is 30^° . Then the height of the bird from the ground is?
Answer» 30.Aravind observed that a bird is sitting on a tree towards the East the angle of elevation of the bird is 45^° .He then moves to 10m south and finds the angle of elevation of the bird is 30^° . Then the height of the bird from the ground is?

Discussion

4193.	A train travels at a certain average speed for a distance of 54 km and then travels a distance of 63 km at an average of 6 km/hr more than the first speed. If it takes 3 hours to complete the total journey, what is its first speed? [CBSE 2015]
Answer» A train travels at a certain average speed for a distance of 54 km and then travels a distance of 63 km at an average of 6 km/hr more than the first speed. If it takes 3 hours to complete the total journey, what is its first speed? [CBSE 2015]

Discussion

4194.	If 3rd term of a G.P is 12 and 6th term is 96, find its 7th term.
Answer» If 3rd term of a G.P is 12 and 6th term is 96, find its 7th term.

Discussion

4195.	Which of the following equations are quadratic?
Answer» Which of the following equations are quadratic?

Discussion

4196.	Check whether -150 is a term of the A.P. 11, 8, 5, 2, …
Answer» Check whether -150 is a term of the A.P. 11, 8, 5, 2, …

Discussion

4197.	33. How many divisor of 9000 are even but not divisible by 4.
Answer» 33. How many divisor of 9000 are even but not divisible by 4.

Discussion

4198.	37. If x+1/x=5 then x+1/x is equal to
Answer» 37. If x+1/x=5 then x+1/x is equal to

Discussion

4199.	The slope of the line perpendicular to x − y2 + 3 = 0 is _____.
Answer» The slope of the line perpendicular to $x - \frac{y}{2} + 3 = 0$ is _____.

Discussion

4200.	A cylindrical container with diameter of base 56 cm contains sufficient water to submerge a rectangular solid of iron with dimensions (32 cm × 22 cm × 14 cm). Find the rise in the level of water when the solid is completely submerged.
Answer» A cylindrical container with diameter of base 56 cm contains sufficient water to submerge a rectangular solid of iron with dimensions (32 cm × 22 cm × 14 cm). Find the rise in the level of water when the solid is completely submerged.

Discussion

Explore topic-wise InterviewSolutions in .

On of the zeros of the polynomial f(x) = 2x2 + 7x – 4 is(a) 2(b) 12(c) -12(d) –2

Why degree of zero polynomial is undeined ?

sin 15° sec 75° + cos 42° cosec 48° = ___.

34. A tree 12m high is broken by the wind in such a way that it's top touches the ground and makes an angle 60 with the ground at what height from the bottom the tree is broken by the wind

At θ=90∘ which of the following trigonometric ratios are not defined?

If the roots of the equation lx2+nx+n = 0, l ¹ 0 are in the ratio p : q, then (p/q)1/2+(q/p)1/2+(n/l)1/2

The four angle of a cyclic quuadrilateral ABCD taken in order are 2x-12 degree ,x-16 degree ,y+10degree and 5y-30 degree.Find the measures of all angles of quadrilateral Abcd.

In the given diagram, O is the centre of the circle and chord AB = chord BC.(i) What is the relation between arc AB and arc BC?(ii) What is the relation between ∠AOB and ∠BOC? [1 Mark]

If two tangents inclined at an angle of 600 are drawn to a circle of radius 3 cm , then length of each tangent is equal to (a) 332 (b) 6 cm (c) 3 cm (d) 33 cm

Prove that in a triangle, other than an equilateral triangle, angle opposite the longest side is greater than 23 of a right angle.

Question 4 (v)State whether the following are true or false. Justify your answer.(v) cot A is not defined for A=0∘.

In Figure 5, ∆ABC is right angled at B, BC = 7 cm and AC − AB = 1 cm. Find the value of cos A − sin A.

The ratio in which (4, 5) divides the join of (2, 3) and (7, 8) is(a) −2 : 3(b) −3 : 2(c) 3 : 2(d) 2 : 3

Which of the following is not a quadratic equation?

What is the total surface area of the square pyramid whose base edge is 6 cm long and the lateral faces are equilateral triangles?

If 16 cot x = 12, then what will be the value of sin x−cos xsin x+cos x

From an external point P, tangents PA=PB are drawn to a circle with centre O. If ∠PAB=50∘, then find ∠AOB.

In the given figure △ABC is equilateral. The ratio IE : IB = ____.

In the following figure, ABC and DBC are two triangles on the same base BC. If AD intersects BC at O, show that

If the sum of the first n terms of an A.P is 4n − n2, What is the first term? What is the sum of first two terms? What is the second term? Similarly, find the third, the tenth and the nth terms.

The cost of carpeting a room 15 m long with a carpet Rs. 75 cm wide, at Rs.70 per metre, is Rs. 8400.The width of the room is (a) 9 m (b) 8 m (c) 6 m (d) 12 m

If the mean of the following data is 20.6. Find the value of p. x: 10 15 p 25 35 f: 3 10 25 7 5

Question 14If P(-1, 1), Q(3, - 4 ), R(1 - 1), S(- 2, -3) and T(-4, 4) are plotted on the graph paper, then the points(s) in the fourth quadrant is /are:A) P and TB) Q and RC) Only SD) P and R

Let A and B are two square matrices and AB = A and BA = B, then ( A+ B)^{3 ^ }is equal to

What is the probability that a leap year has 53 Tuesdays and 53 Mondays?

Question 3 (i)On comparing the ratios a1a2, b1b2 and c1c2 find out whether the following pairs of linear equations are consistent, or inconsistent. 3x + 2y = 5 ; 2x - 3y = 7

The radius and the slant height of a cone are in the ratio 4 : 7. If its curved surface area is 792 cm2, find its radius. (Use π=227)

If A(4, – 1), B(6, 0), C(7, 2) and D(5, 1) are the vertices of a rhombus then the area of the rhombus is ___

Explain the method that uses 2 rays to divide a line segment of length X cm in the ratio m:n.

The difference f squares fo two numbers is 88. If the larger number is 5 less than twice the smaller number, then find the two numbers.

CArds bearing numbers 1, 3, 5,..., 35 are kept in a bag. A card is drawn at random from the bag. Find the probability of getting a card bearing (iI) a prime number less than 15, (ii) a number divisible by 3 and 5.

A steel plate is 300 mm wide and 10 mm thick. If the diameter of the bolt hole is 20 mm, the net sectional area of the plate is:

Two vertices of a triangle are(3,-5) and (-7,4).if its centroid is (2,-1) find the third vertex

Write the steps of construction to construct the tangents to a circle from an external point. [CBSE 2017]

Let A={1,2,3,4,5,6,7,8,9,10} and B={2,3,5,7}.Find A∩B and hence show that A∩B=B.

Which of the following statement is true for the inequation 2x+5&gt;27?

If LCM of two numbers is equal to the greater number, then its HCF ____.

What is meant by the ‘volume’ of an object?

Which of the following is an irrational number ? (a) 227 (b) 3.1416 (c) 3.¯¯¯¯¯¯¯¯¯¯¯1416 (d) 3.141141114

Calculate the circumference of a circle whose radius is 5 inches.

30.Aravind observed that a bird is sitting on a tree towards the East the angle of elevation of the bird is 45^° .He then moves to 10m south and finds the angle of elevation of the bird is 30^° . Then the height of the bird from the ground is?

A train travels at a certain average speed for a distance of 54 km and then travels a distance of 63 km at an average of 6 km/hr more than the first speed. If it takes 3 hours to complete the total journey, what is its first speed? [CBSE 2015]

If 3rd term of a G.P is 12 and 6th term is 96, find its 7th term.

Which of the following equations are quadratic?

Check whether -150 is a term of the A.P. 11, 8, 5, 2, …

33. How many divisor of 9000 are even but not divisible by 4.

37. If x+1/x=5 then x+1/x is equal to

The slope of the line perpendicular to x − y2 + 3 = 0 is _____.

A cylindrical container with diameter of base 56 cm contains sufficient water to submerge a rectangular solid of iron with dimensions (32 cm × 22 cm × 14 cm). Find the rise in the level of water when the solid is completely submerged.

Which of the following statement is true for the inequation 2x+5>27?