24740 + Interview Questions in Mathematics Page 230 InterviewSolution

11451.	The radius of a certain cone is 4 times the radius of a similar cone. The ratio of their altitudes is
Answer» The radius of a certain cone is 4 times the radius of a similar cone. The ratio of their altitudes is

Discussion

11452.	What will be the mean of x, x + 2, x + 4, x + 6, x + 8, where the value of x is 12?
Answer» What will be the mean of x, x + 2, x + 4, x + 6, x + 8, where the value of x is 12?

Discussion

11453.	Construct ∆ ABC such that ∠B = 100° , BC = 6.4 cm, ∠C = 50° and construct its incircle.
Answer» Construct $∆$ ABC such that $∠$ B = $100^{°}$ , BC = 6.4 cm, $∠$ C = $50^{°}$ and construct its incircle.

Discussion

11454.	3.Points A(4,3),B(x,4),C(5,-6) and D(3,y) in order are vertices of parellelogram.The distance between AB and CDis?
Answer» 3.Points A(4,3),B(x,4),C(5,-6) and D(3,y) in order are vertices of parellelogram.The distance between AB and CDis?

Discussion

11455.	Can you name the altitude of the triangle given in the figure?
Answer» Can you name the altitude of the triangle given in the figure?

11455.

Can you name the altitude of the triangle given in the figure?

Answer»

Can you name the altitude of the triangle given in the figure?

Discussion

11456.	△ H=△ U-T△ S is a formula or not
Answer» △ H=△ U-T△ S is a formula or not

Discussion

11457.	Find the approximate change in the surface area of a cube of side x metres caused by decreasing the side by 1%
Answer» Find the approximate change in the surface area of a cube of side x metres caused by decreasing the side by 1%

Discussion

11458.	there are 10 points in a plane out of which 4 are collinear , the maximum number of straight lines that can be drawn from these points will be: 1)40 2)45 3)46 4)36 IS THERE ANY FORMULA FOR THIS KIND OF QUESTIONS?
Answer» there are 10 points in a plane out of which 4 are collinear , the maximum number of straight lines that can be drawn from these points will be: 1)40 2)45 3)46 4)36 IS THERE ANY FORMULA FOR THIS KIND OF QUESTIONS?

11458.

there are 10 points in a plane out of which 4 are collinear , the maximum number of straight lines that can be drawn from these points will be: 1)40 2)45 3)46 4)36 IS THERE ANY FORMULA FOR THIS KIND OF QUESTIONS?

Answer»

there are 10 points in a plane out of which 4 are collinear , the maximum number of straight lines that can be drawn from these points will be:

1)40

2)45

3)46

4)36

IS THERE ANY FORMULA FOR THIS KIND OF QUESTIONS?

Discussion

11459.	5. Find The centre of mass of a uniform disc of radius a from which a circular section of radius b has been removed the centre of the hole is at a distance c from the centre of the disc.
Answer» 5. Find The centre of mass of a uniform disc of radius a from which a circular section of radius b has been removed the centre of the hole is at a distance c from the centre of the disc.

Discussion

11460.	Find the value of 8 - 3.5
Answer» Find the value of 8 - 3. 5

Discussion

11461.	Choose the correct statement
Answer» Choose the correct statement

11461.

Choose the correct statement

Answer»

Choose the correct statement

Discussion

11462.	Question 200Construct a parallelogram when one of its side is 4 cm and its two diagonals are 5.6 cm and 7 cm. Measure the other side.
Answer» Question 200 Construct a parallelogram when one of its side is 4 cm and its two diagonals are 5.6 cm and 7 cm. Measure the other side.

Discussion

11463.	Find the percentage increase in the area of a triangle if its each side is doubled.
Answer» Find the percentage increase in the area of a triangle if its each side is doubled.

Discussion

11464.	If A=[1111],n∈N, then An=
Answer» If $A = [\begin{matrix} 1 & 1 1 & 1 \end{matrix}], n \in N$ , then $A^{n} =$

Discussion

11465.	A company packages its milk powder in a cylindrical container whose base has a diameter of 14 cm and height 20 cm. The company places a label on the surface of the container (as shown in the figure). If the label is placed 2 cm from top and bottom, what is the area of the label?
Answer» A company packages its milk powder in a cylindrical container whose base has a diameter of 14 cm and height 20 cm. The company places a label on the surface of the container (as shown in the figure). If the label is placed 2 cm from top and bottom, what is the area of the label?

Discussion

11466.	In this question In a triangle ABC , AB>AC , AD is perpendicular to BC , prove that AB 2 - AC2 = BD 2= CD2 I have done it like this In triangle ABD AD2. = AB2 -. BD2. EQUATION 1 In triangle ADC AD2 =. AC2 - CD2. EQUATION 2 on combining. EQUATION 1 and 2 AD2 = AB2. -. BD 2 AD2 = AC2 - CD2. AB2 -. AC2 =. BD2 - CD2 hence proved IS THIS CORRECT
Answer» In this question In a triangle ABC , AB>AC , AD is perpendicular to BC , prove that AB 2 - AC^{2 _{= BD 2= CD2} _{I have done it like this In triangle ABD AD2. = AB2 -. BD2. EQUATION 1 In triangle ADC AD2 =. AC2 - CD2. EQUATION 2 on combining. EQUATION 1 and 2 AD2 = AB2. -. BD 2 AD2 = AC2 - CD2. AB2 -. AC2 =. BD2 - CD2 hence proved IS THIS CORRECT}}

Discussion

11467.	Prove that √7 is irrational
Answer» Prove that √7 is irrational

Discussion

11468.	The diameter of a roller is 84 cm and its length is 120 cm. It takes 500 complete revolutions to roll once over the playground to level. Find the area of the playground in m2.
Answer» The diameter of a roller is 84 cm and its length is 120 cm. It takes 500 complete revolutions to roll once over the playground to level. Find the area of the playground in $m^{2}$ .

Discussion

11469.	Choose the correct pairs such that the product will be 25x3y2z.
Answer» Choose the correct pairs such that the product will be $25 x^{3} y^{2} z$ .

Discussion

11470.	Match the following with the area of shaded regions in cm2.
Answer» Match the following with the area of shaded regions in $c m^{2}$ .

Discussion

11471.	if x2+x-1is a factor of x4+px3+qx2-1 then the value of p and q are
Answer» if x2+x-1is a factor of x4+px3+qx2-1 then the value of p and q are

Discussion

11472.	The angles of a triangle are in the ratio 2: 3: 4; the three angles are
Answer» The angles of a triangle are in the ratio 2: 3: 4; the three angles are

Discussion

11473.	Convert 95 to decimal form.
Answer» Convert $\frac{9}{5}$ to decimal form.

Discussion

11474.	Question 117State whether the statements are True or False.Every rectangle is a trapezium.
Answer» Question 117 State whether the statements are True or False. Every rectangle is a trapezium.

Discussion

11475.	The previous question is an example of:(The graph is shown again for your convenience)
Answer» The previous question is an example of: (The graph is shown again for your convenience)

Discussion

11476.	Can you draw a unique triangle with any 3 possible measurements of sides or angles?
Answer» Can you draw a unique triangle with any 3 possible measurements of sides or angles?

Discussion

11477.	The zeroes of the polynomial 6x2+17x–88 are
Answer» The zeroes of the polynomial $6 x^{2} + 17 x - 88$ are

Discussion

11478.	Suppose A is a finite set with n elements. The number of elements in the Largest equivalence relation of A is
Answer» Suppose $A$ is a finite set with $n$ elements. The number of elements in the Largest equivalence relation of $A$ is

Discussion

11479.	Question 12Twelve solid spheres of the same size are made by melting a solid metallic cylinder of base diameter 2 cm and height 16 cm. the diameter of each sphere is(A) 4 cm(B) 3 cm(C) 2 cm(D) 6 cm
Answer» Question 12 Twelve solid spheres of the same size are made by melting a solid metallic cylinder of base diameter 2 cm and height 16 cm. the diameter of each sphere is (A) 4 cm (B) 3 cm (C) 2 cm (D) 6 cm

Discussion

11480.

From the following transactions, prepare Cash Book with Cash and Bank Columns:− 2016 (₹) May 1 Cash in hand 4,800 Bank Overdraft 30,400 2 Fresh Capital introduced 20,000 3 Deposited into Bank 15,000 4 Sold goods to Mahesh on Credit 6,200 5 An amount of ₹ 4,200 due from Ashok written off as bad debts in the previous year, now recovered. 6 Withdrew from bank for the payment of Life Insurance Premium 3,000 8 Received a cheque form Mahesh for ₹ 6,000 in full settlement of his account and deposited the same into the Bank. 10 Sold goods to Varun on Credit. 30,000 12 Received a cheque for ₹ 28,000 from Varun in full settlement. 15 Cheque received from Varun sent to Bank 18 Varun's cheque returned by Bank dishonoured. Bank charged ₹ 25 on this cheque. 20 Received a cheque of ₹ 6,800 from Vijay which was endorsed to AmritRaj on 23rd May. 25 Withdrew cash from Bank ₹ 5,000 for paying gift to his daughter on her birthday. 26 Bought goods from Gupta General Store for ₹ 10,000 on credit and they allowed us trade discount of 25%. 28 Paid to Gupta General Stores in cash in full settlement 7,000 28 Sale of old machinery, payment received in cash ₹ 7,700. 30 Paid Salary by cheque ₹ 1,500. Paid Rent in cash ₹ 2,200. 31 Paid into Current Account the entire balance after retaining ₹ 5,000 at office.

Answer» From the following transactions, prepare Cash Book with Cash and Bank Columns:−

2016		(₹)
May 1	Cash in hand	4,800
	Bank Overdraft	30,400
2	Fresh Capital introduced	20,000
3	Deposited into Bank	15,000
4	Sold goods to Mahesh on Credit	6,200
5	An amount of ₹ 4,200 due from Ashok written off as bad debts in the previous year, now recovered.
6	Withdrew from bank for the payment of Life Insurance Premium	3,000
8	Received a cheque form Mahesh for ₹ 6,000 in full settlement of his account and deposited the same into the Bank.
10	Sold goods to Varun on Credit.	30,000
12	Received a cheque for ₹ 28,000 from Varun in full settlement.
15	Cheque received from Varun sent to Bank
18	Varun's cheque returned by Bank dishonoured. Bank charged ₹ 25 on this cheque.
20	Received a cheque of ₹ 6,800 from Vijay which was endorsed to AmritRaj on 23rd May.
25	Withdrew cash from Bank ₹ 5,000 for paying gift to his daughter on her birthday.
26	Bought goods from Gupta General Store for ₹ 10,000 on credit and they allowed us trade discount of 25%.
28	Paid to Gupta General Stores in cash in full settlement	7,000
28	Sale of old machinery, payment received in cash ₹ 7,700.
30	Paid Salary by cheque ₹ 1,500. Paid Rent in cash ₹ 2,200.
31	Paid into Current Account the entire balance after retaining ₹ 5,000 at office.

Discussion

11481.	A rational number in its decimal expansion is 327.7081. What can you say about the prime factor of q , when this number is expressed in the form pq? Give reasons.
Answer» A rational number in its decimal expansion is 327.7081. What can you say about the prime factor of q , when this number is expressed in the form $\frac{p}{q}$ ? Give reasons.

Discussion

11482.	Plot each of the following points on a graph sheet. Verify that they lie on a line.(i) A (4, 0), B (4, 2), C (4, 2.5), and D (4, 6)(ii) P (1, 1), Q (2, 2), R (3, 3), and S (4,4)(iii) L (6, 2), M (5, 3), N (3, 5), and O (2, 6)
Answer» Plot each of the following points on a graph sheet. Verify that they lie on a line. (i) A (4, 0), B (4, 2), C (4, 2.5), and D (4, 6) (ii) P (1, 1), Q (2, 2), R (3, 3), and S (4,4) (iii) L (6, 2), M (5, 3), N (3, 5), and O (2, 6)

Discussion

11483.	Rationalize the denominator of the following: 1(√7−√6)
Answer» Rationalize the denominator of the following: $\frac{1}{(\sqrt{7} - \sqrt{6})}$

11483.

Rationalize the denominator of the following: 1(√7−√6)

Answer»

Rationalize the denominator of the following:

$\frac{1}{(\sqrt{7} - \sqrt{6})}$

Discussion

11484.	Prove that a cyclic parallelogram is a rectangle.
Answer» Prove that a cyclic parallelogram is a rectangle.

Discussion

11485.	If x3=y5=z4=5x−3y+4zP. Find the value of P?
Answer» If $\frac{x}{3} = \frac{y}{5} = \frac{z}{4} = \frac{5 x - 3 y + 4 z}{P}$ . Find the value of $P$ ?

Discussion

11486.	In a map, the distance between 2 cities A and B is 12 cm and the scale of a map is given as 1 : 4000000.If a person travels at a speed of 96 km/hr ,how many hours will it take to travel from city A to city B.
Answer» In a map, the distance between 2 cities A and B is 12 cm and the scale of a map is given as 1 : 4000000.If a person travels at a speed of 96 km/hr ,how many hours will it take to travel from city A to city B.

Discussion

11487.	Find the values of p and q so that x4 + px3 + 2x3 − 3x + q is divisible by (x2 − 1).
Answer» Find the values of p and q so that x⁴ + px³ + 2x³ − 3x + q is divisible by (x² − 1).

Discussion

11488.	The blood groups of 30 students of Class VIII are recoded as follows:A, B, O, O, AB, O, A, O, B, A, O, B, A, O, O,A, AB, O, A, A, O, O, AB, B, A, O, B, A, B, O.Represent this data in the form of a frequency distribution table. Which is the most common, and which is the rarest, blood group among these students?
Answer» The blood groups of 30 students of Class VIII are recoded as follows: A, B, O, O, AB, O, A, O, B, A, O, B, A, O, O, A, AB, O, A, A, O, O, AB, B, A, O, B, A, B, O. Represent this data in the form of a frequency distribution table. Which is the most common, and which is the rarest, blood group among these students?

11488.

The blood groups of 30 students of Class VIII are recoded as follows:A, B, O, O, AB, O, A, O, B, A, O, B, A, O, O,A, AB, O, A, A, O, O, AB, B, A, O, B, A, B, O.Represent this data in the form of a frequency distribution table. Which is the most common, and which is the rarest, blood group among these students?

Answer»

The blood groups of 30 students of Class VIII are recoded as follows:

A, B, O, O, AB, O, A, O, B, A, O, B, A, O, O,

A, AB, O, A, A, O, O, AB, B, A, O, B, A, B, O.

Represent this data in the form of a frequency distribution table. Which is the most common, and which is the rarest, blood group among these students?

Discussion

11489.	In the given figure, AB \|\| CD and a transversal t cuts them at E and F respectively. If EP and FQ are the bisectors of ∠AEF and ∠EFD respectively, prove that EP \|\| FQ .
Answer» In the given figure, AB \|\| CD and a transversal t cuts them at E and F respectively. If EP and FQ are the bisectors of ∠AEF and ∠EFD respectively, prove that EP \|\| FQ .

Discussion

11490.	Question 1 (iii) ABCD is a quadrilateral in which P, Q,R and S are mid-points of the sides AB, BC, CD and DA ( see the given figure). AC is a diagonal. Show that: PQRS is a parallelogram
Answer» Question 1 (iii) ABCD is a quadrilateral in which P, Q,R and S are mid-points of the sides AB, BC, CD and DA ( see the given figure). AC is a diagonal. Show that: PQRS is a parallelogram

Discussion

11491.	The polynomials ax3+4x2+3x–4 and x3–4x+a leave the same remainder when divided by (x–3).Find the value of a.
Answer» $The polynomials a x^{3} + 4 x^{2} + 3 x - 4 and x^{3} - 4 x + a leave the same remainder when divided by (x - 3) . Find the value of a .$

Discussion

11492.	From the options given below, choose the option which has all the measurements you'll require to construct a quadrilateral ABCD.
Answer» From the options given below, choose the option which has all the measurements you'll require to construct a quadrilateral ABCD.

Discussion

11493.	Question 15If the coordinates of the two points are P(-2, 3) and Q(-3, 5), the (Abscissa of P) - (Abscissa of Q) isA) -5B) 1C) -1D) -2
Answer» Question 15 If the coordinates of the two points are P(-2, 3) and Q(-3, 5), the (Abscissa of P) - (Abscissa of Q) is A) -5 B) 1 C) -1 D) -2

Discussion

11494.	What is the degree of ?
Answer» What is the degree of ?

11494.

What is the degree of ?

Answer»

What is the degree of ?

Discussion

11495.	Question 5Tick the correct answer in the following and justify your choice: If the perimeter and the area of a circle are numerically equal, then the radius of the circle is(A) 2 units(B) π units(C) 4 units(D) 7 units
Answer» Question 5 Tick the correct answer in the following and justify your choice: If the perimeter and the area of a circle are numerically equal, then the radius of the circle is (A) 2 units (B) π units (C) 4 units (D) 7 units

Discussion

11496.	By splitting the figure into rectangles, find its area
Answer» By splitting the figure into rectangles, find its area

Discussion

11497.	The number of girls in a class is 4 more than the number of boys. On a day when only 8 boys were absent, the numbers of girls were double the number of boys. How many girls and boys are there in that class?
Answer» The number of girls in a class is 4 more than the number of boys. On a day when only 8 boys were absent, the numbers of girls were double the number of boys. How many girls and boys are there in that class?

Discussion

11498.	Question 10 The point which lies on the perpendicular bisector of a line segment joining points A(-2, -5) and B(2,5) is (A) (0, 0) (B) (0, 2) (C) (2, 0) (D) (–2, 0)
Answer» Question 10 The point which lies on the perpendicular bisector of a line segment joining points A(-2, -5) and B(2,5) is (A) (0, 0) (B) (0, 2) (C) (2, 0) (D) (–2, 0)

Discussion

11499.	In a given square ABCD, if the area of triangle ABD is 36 cm2, find (i) the area of triangle BCD; (ii) the area of the square ABCD.
Answer» In a given square ABCD, if the area of triangle ABD is 36 cm², find (i) the area of triangle BCD; (ii) the area of the square ABCD.

Discussion

11500.	Simplify: 8x3−27y34x2−9y2
Answer» Simplify: $\frac{8 x^{3} - 27 y^{3}}{4 x^{2} - 9 y^{2}}$

Discussion

Explore topic-wise InterviewSolutions in .

The radius of a certain cone is 4 times the radius of a similar cone. The ratio of their altitudes is

What will be the mean of x, x + 2, x + 4, x + 6, x + 8, where the value of x is 12?

Construct ∆ ABC such that ∠B = 100° , BC = 6.4 cm, ∠C = 50° and construct its incircle.

3.Points A(4,3),B(x,4),C(5,-6) and D(3,y) in order are vertices of parellelogram.The distance between AB and CDis?

Can you name the altitude of the triangle given in the figure?

△ H=△ U-T△ S is a formula or not

Find the approximate change in the surface area of a cube of side x metres caused by decreasing the side by 1%

there are 10 points in a plane out of which 4 are collinear , the maximum number of straight lines that can be drawn from these points will be: 1)40 2)45 3)46 4)36 IS THERE ANY FORMULA FOR THIS KIND OF QUESTIONS?

5. Find The centre of mass of a uniform disc of radius a from which a circular section of radius b has been removed the centre of the hole is at a distance c from the centre of the disc.

Find the value of 8 - 3.5

Choose the correct statement

Question 200Construct a parallelogram when one of its side is 4 cm and its two diagonals are 5.6 cm and 7 cm. Measure the other side.

Find the percentage increase in the area of a triangle if its each side is doubled.

If A=[1111],n∈N, then An=

A company packages its milk powder in a cylindrical container whose base has a diameter of 14 cm and height 20 cm. The company places a label on the surface of the container (as shown in the figure). If the label is placed 2 cm from top and bottom, what is the area of the label?

Prove that √7 is irrational

The diameter of a roller is 84 cm and its length is 120 cm. It takes 500 complete revolutions to roll once over the playground to level. Find the area of the playground in m2.

Choose the correct pairs such that the product will be 25x3y2z.

Match the following with the area of shaded regions in cm2.

if x2+x-1is a factor of x4+px3+qx2-1 then the value of p and q are

The angles of a triangle are in the ratio 2: 3: 4; the three angles are

Convert 95 to decimal form.

Question 117State whether the statements are True or False.Every rectangle is a trapezium.

The previous question is an example of:(The graph is shown again for your convenience)

Can you draw a unique triangle with any 3 possible measurements of sides or angles?

The zeroes of the polynomial 6x2+17x–88 are

Suppose A is a finite set with n elements. The number of elements in the Largest equivalence relation of A is

Question 12Twelve solid spheres of the same size are made by melting a solid metallic cylinder of base diameter 2 cm and height 16 cm. the diameter of each sphere is(A) 4 cm(B) 3 cm(C) 2 cm(D) 6 cm

A rational number in its decimal expansion is 327.7081. What can you say about the prime factor of q , when this number is expressed in the form pq? Give reasons.

Plot each of the following points on a graph sheet. Verify that they lie on a line.(i) A (4, 0), B (4, 2), C (4, 2.5), and D (4, 6)(ii) P (1, 1), Q (2, 2), R (3, 3), and S (4,4)(iii) L (6, 2), M (5, 3), N (3, 5), and O (2, 6)

Rationalize the denominator of the following: 1(√7−√6)

Prove that a cyclic parallelogram is a rectangle.

If x3=y5=z4=5x−3y+4zP. Find the value of P?

In a map, the distance between 2 cities A and B is 12 cm and the scale of a map is given as 1 : 4000000.If a person travels at a speed of 96 km/hr ,how many hours will it take to travel from city A to city B.

Find the values of p and q so that x4 + px3 + 2x3 − 3x + q is divisible by (x2 − 1).

In the given figure, AB || CD and a transversal t cuts them at E and F respectively. If EP and FQ are the bisectors of ∠AEF and ∠EFD respectively, prove that EP || FQ .

Question 1 (iii) ABCD is a quadrilateral in which P, Q,R and S are mid-points of the sides AB, BC, CD and DA ( see the given figure). AC is a diagonal. Show that: PQRS is a parallelogram

The polynomials ax3+4x2+3x–4 and x3–4x+a leave the same remainder when divided by (x–3).Find the value of a.

From the options given below, choose the option which has all the measurements you'll require to construct a quadrilateral ABCD.

Question 15If the coordinates of the two points are P(-2, 3) and Q(-3, 5), the (Abscissa of P) - (Abscissa of Q) isA) -5B) 1C) -1D) -2

What is the degree of ?

Question 5Tick the correct answer in the following and justify your choice: If the perimeter and the area of a circle are numerically equal, then the radius of the circle is(A) 2 units(B) π units(C) 4 units(D) 7 units

By splitting the figure into rectangles, find its area

The number of girls in a class is 4 more than the number of boys. On a day when only 8 boys were absent, the numbers of girls were double the number of boys. How many girls and boys are there in that class?

Question 10 The point which lies on the perpendicular bisector of a line segment joining points A(-2, -5) and B(2,5) is (A) (0, 0) (B) (0, 2) (C) (2, 0) (D) (–2, 0)

In a given square ABCD, if the area of triangle ABD is 36 cm2, find (i) the area of triangle BCD; (ii) the area of the square ABCD.

Simplify: 8x3−27y34x2−9y2