24740 + Interview Questions in Mathematics Page 145 InterviewSolution

7201.	Find the volume of : [2 MARKS]
Answer» Find the volume of : [2 MARKS]

7201.

Find the volume of : [2 MARKS]

Answer»

Find the volume of : [2 MARKS]

7202.	The value of (log3 2) (log4 3) (log5 4)…(log1514) (log16 15) is
Answer» The value of $(l o g_{3} 2) (l o g_{4} 3) (l o g_{5} 4) \dots (l o g_{15} 14) (l o g_{16} 15)$ is

Discussion

7203.	Represent the given set in Roster form.A = {x:x is an integer, −32<x<112}
Answer» Represent the given set in Roster form. A = ${x : x i s a n i n t e g e r, \frac{- 3}{2} < x < \frac{11}{2}}$

7203.

Represent the given set in Roster form.A = {x:x is an integer, −32<x<112}

Answer»

Represent the given set in Roster form.

A = ${x : x i s a n i n t e g e r, \frac{- 3}{2} < x < \frac{11}{2}}$

Discussion

7204.	42. In the circle of radius 3 cm the length of major arc AB is 3 times the length of the minor arc AB.What is the length of the line segment AB ?
Answer» 42. In the circle of radius 3 cm the length of major arc AB is 3 times the length of the minor arc AB.What is the length of the line segment AB ?

Discussion

7205.	A point D is taken on the side BC of a ΔABC such that BD = 2DC. Prove that ar (Δ ABD) = 2 ar (Δ ADC).
Answer» A point D is taken on the side BC of a ΔABC such that BD = 2DC. Prove that ar (Δ ABD) = 2 ar (Δ ADC).

Discussion

7206.	Factorize:x2+23x-24
Answer» Factorize: $x^{2} + 2 \sqrt{3} x - 24$

Discussion

7207.	Question 2Determine the point on the graph of the linear equation 2x + 5y = 19 whose ordinate is 112 times its abscissa.
Answer» Question 2 Determine the point on the graph of the linear equation 2x + 5y = 19 whose ordinate is $1 \frac{1}{2}$ times its abscissa.

Discussion

7208.	In the above figure, X and Y are the two axes and O is the origin. The two axes X and Y divide the plane into 4 parts. Which of the 4 parts is the III quadrant?
Answer» In the above figure, X and Y are the two axes and O is the origin. The two axes X and Y divide the plane into 4 parts. Which of the 4 parts is the III quadrant?

7208.

In the above figure, X and Y are the two axes and O is the origin. The two axes X and Y divide the plane into 4 parts. Which of the 4 parts is the III quadrant?

Answer»

In the above figure, X and Y are the two axes and O is the origin. The two axes X and Y divide the plane into 4 parts. Which of the 4 parts is the III quadrant?

Discussion

7209.	What is the length of MN, if M is (5,-3) and N is (-3,-3)
Answer» What is the length of MN, if M is (5,-3) and N is (-3,-3)

Discussion

7210.	Find the median of 6, 9, 12, 15, 9, 3, 6, 9, 12, 6, 10, 3, 6, 15, 6
Answer» Find the median of 6, 9, 12, 15, 9, 3, 6, 9, 12, 6, 10, 3, 6, 15, 6

Discussion

7211.	How many solutions does the pair of equatuons x+2y=3and 1/2x+y-3/2 have
Answer» How many solutions does the pair of equatuons x+2y=3and 1/2x+y-3/2 have

Discussion

7212.	Using the remainder theorem, find the remainder, when p(x) is divided by g(x), wherepx=2x3-7x2+9x-13, gx=x-3.
Answer» Using the remainder theorem, find the remainder, when p(x) is divided by g(x), where $p (x) = 2 x^{3} - 7 x^{2} + 9 x - 13, g (x) = x - 3$ .

Discussion

7213.	If x=2-1, then write the value of 1x.
Answer» If x= $\sqrt{2} - 1$ , then write the value of $\frac{1}{x} .$

Discussion

7214.	The angle-bisectors of a parallelogram forms a quadrilateral as shown in the figure. Show that ABCD is a rectangle.
Answer» The angle-bisectors of a parallelogram forms a quadrilateral as shown in the figure. Show that ABCD is a rectangle.

Discussion

7215.	27x3 − y3 − z3 − 9xyz
Answer» 27x³ − y³ − z³ − 9xyz

Discussion

7216.	Show that the points A(5, 2), B(2, − 2) and C(− 2, t) are the vertices of a right triangle with ∠B=90∘, then find the value of t.
Answer» Show that the points A(5, 2), B(2, − 2) and C(− 2, t) are the vertices of a right triangle with $∠ B = 90^{\circ}$ , then find the value of t.

Discussion

7217.	For which of the following quadrilateral, do the diagonals intersect each other at 90∘?
Answer» For which of the following quadrilateral, do the diagonals intersect each other at $90^{\circ}$ ?

Discussion

7218.	Select the statement(s) from the given sentences.
Answer» Select the statement(s) from the given sentences.

Discussion

7219.	Question 10 A point lies on positive direction of x-axis at a distance of 7 units from the y-axis. What are its Coordinates, if this lies in the negative direction of y-axis at a distance of 7 units from x-axis?
Answer» Question 10 A point lies on positive direction of x-axis at a distance of 7 units from the y-axis. What are its Coordinates, if this lies in the negative direction of y-axis at a distance of 7 units from x-axis?

Discussion

7220.	Explain how a square is a parallelogram.
Answer» Explain how a square is a parallelogram.

Discussion

7221.	Solve the following quadratic equation: 22x−3.2(x+2)+32=0
Answer» Solve the following quadratic equation: $2^{2 x} - {3.2}^{(x + 2)} + 32 = 0$

Discussion

7222.	Solve: log5 (x+1)−1=1+log5 (x−1)
Answer» Solve: $l o g_{5} (x + 1) - 1 = 1 + l o g_{5} (x - 1)$

7222.

Solve: log5 (x+1)−1=1+log5 (x−1)

Answer»

Solve:

$l o g_{5} (x + 1) - 1 = 1 + l o g_{5} (x - 1)$

Discussion

7223.	Identify the adverb in the below sentences. 1. He solved the sum quickly. 2. This flower is very beautiful. 3. She pronounces that word quite correctly.
Answer» Identify the adverb in the below sentences. 1. He solved the sum quickly. 2. This flower is very beautiful. 3. She pronounces that word quite correctly.

Discussion

7224.	Is π rational or irrational?
Answer» Is $π$ rational or irrational?

Discussion

7225.	If y=50t–5t2 the value of y is maximum when t= ? Options: (1) 10 (2) 5 (3) 0 (4) –5
Answer» If $y = 50 t - 5 t^{2}$ the value of $y$ is maximum when $t =$ ? Options: (1) 10 (2) 5 (3) 0 (4) –5

7225.

If y=50t–5t2 the value of y is maximum when t= ? Options: (1) 10 (2) 5 (3) 0 (4) –5

Answer»

If $y = 50 t - 5 t^{2}$ the value of $y$ is maximum when $t =$ ?

Options: (1) 10 (2) 5 (3) 0 (4) –5

Discussion

7226.	Two adjacent angles of rhombus are (3x−40)∘ and (2x+20)∘. Find the measure of the greater angle.
Answer» Two adjacent angles of rhombus are $(3 x - 40)^{\circ} a n d (2 x + 20)^{\circ} .$ Find the measure of the greater angle.

Discussion

7227.	a=(x+y)/z, b=(y+z)/x, c=(z+x)/y then the value of 1/(a+1) ÷1/(b+1)+ 1/(c+1)
Answer» a=(x+y)/z, b=(y+z)/x, c=(z+x)/y then the value of 1/(a+1) ÷1/(b+1)+ 1/(c+1)

Discussion

7228.	The correction to be applied to each 30 m chain for a line measurement along a slope of θ is
Answer» The correction to be applied to each 30 m chain for a line measurement along a slope of $θ$ is

Discussion

7229.	Which of the following is the set of measures of the sides of a triangle?(a) 8 cm, 4 cm, 20 cm(b) 9 cm, 17 cm, 25 cm(c) 11 cm, 16 cm, 28 cm(d) None of these
Answer» Which of the following is the set of measures of the sides of a triangle? (a) 8 cm, 4 cm, 20 cm (b) 9 cm, 17 cm, 25 cm (c) 11 cm, 16 cm, 28 cm (d) None of these

Discussion

7230.	Write a program that implements a user defined function that accepts Principal Amount, Rate, Time, Number of Times the interest is compounded to calculate and displays compound interest.(Hint: CI = ((P*(1+R/N))NT)
Answer» Write a program that implements a user defined function that accepts Principal Amount, Rate, Time, Number of Times the interest is compounded to calculate and displays compound interest. (Hint: CI = ((P*(1+R/N))^NT)

Discussion

7231.	The figure below shows a relation between sets P and Q. Write the relation R.
Answer» The figure below shows a relation between sets P and Q. Write the relation R.

7231.

The figure below shows a relation between sets P and Q. Write the relation R.

Answer»

The figure below shows a relation between sets P and Q. Write the relation R.

Discussion

7232.	Question 66 (i) How many edges does the following solid have? Cone
Answer» Question 66 (i) How many edges does the following solid have? Cone

Discussion

7233.	Question 90(iii)Look at the histogram below and answer the questions that follow. ?What is class size ?
Answer» Question 90(iii) Look at the histogram below and answer the questions that follow. ? What is class size ?

7233.

Question 90(iii)Look at the histogram below and answer the questions that follow. ?What is class size ?

Answer»

Question 90(iii)

Look at the histogram below and answer the questions that follow. ?

What is class size ?

Discussion

7234.	What is the surface area of a sphere?
Answer» What is the surface area of a sphere?

Discussion

7235.	In Fig. 6, ABCD is a square. If ∠PQR = 90° and PB = QC = DR, prove that ∠QPR = 45°.
Answer» In Fig. 6, ABCD is a square. If ∠PQR = 90° and PB = QC = DR, prove that ∠QPR = 45°.

Discussion

7236.	Question 6In the given figure, AC = AE, AB = AD and ∠BAD=∠EAC. Show that BC = DE.
Answer» Question 6 In the given figure, AC = AE, AB = AD and $∠ B A D = ∠ E A C .$ Show that BC = DE.

Discussion

7237.	The figure below shows a circle centered at O and of radius 5 cm. AB and AC are two chords such that AB = AC = 6 cm. AP is perpendicular to BC. Find the length of the chord BC.
Answer» The figure below shows a circle centered at O and of radius 5 cm. AB and AC are two chords such that AB = AC = 6 cm. AP is perpendicular to BC. Find the length of the chord BC.

7237.

The figure below shows a circle centered at O and of radius 5 cm. AB and AC are two chords such that AB = AC = 6 cm. AP is perpendicular to BC. Find the length of the chord BC.

Answer»

The figure below shows a circle centered at O and of radius 5 cm. AB and AC are two chords such that AB = AC = 6 cm. AP is perpendicular to BC. Find the length of the chord BC.

Discussion

7238.	is not an algebraic expression.
Answer» is not an algebraic expression.

Discussion

7239.	The mean marks (out of 100) of boys and girls in an examination are 70 and 73 respectively. If the mean marks of all the students in that examination is 71, find the ratio of the nu!ber of boys to the number of girls
Answer» The mean marks (out of 100) of boys and girls in an examination are 70 and 73 respectively. If the mean marks of all the students in that examination is 71, find the ratio of the nu!ber of boys to the number of girls

Discussion

7240.	13 Any point D is taken on the base BC of a triangle ABC and it is produced to e such that d e equal to ad. show that show that the area of triangle BCE is equal to the area of triangle ABC
Answer» 13 Any point D is taken on the base BC of a triangle ABC and it is produced to e such that d e equal to ad. show that show that the area of triangle BCE is equal to the area of triangle ABC

Discussion

7241.	In the given figure, AS\|\|DC,AD\|\|EG\|\|HF\|\|SC.If ar(ΔADE)+ar(ΔGEF)+ar(ΔHSC) is 50cm2 , then the area of quadrilateral ASCD is equal to
Answer» In the given figure, $A S \| \| D C, A D \| \| E G \| \| H F \| \| S C . I f a r (Δ A D E) + a r (Δ G E F) + a r (Δ H S C) i s 50 c m^{2}$ , then the area of quadrilateral ASCD is equal to

Discussion

7242.	31 For what value of 'k' would the points (a,0), (0,b) and(k,1) be collinear?
Answer» 31 For what value of 'k' would the points (a,0), (0,b) and(k,1) be collinear?

Discussion

7243.	ABC is a triangle inscribed in a circle, AC being the diameter of the circle. The length of AC is as much more than the length of BC as the length of BC is more than the length of AB. Find AC:AB
Answer» ABC is a triangle inscribed in a circle, AC being the diameter of the circle. The length of AC is as much more than the length of BC as the length of BC is more than the length of AB. Find AC:AB

Discussion

7244.	If the sides of a triangle are 4 cm, 6 cm and 6 cm, then find the height corresponding to the smallest side.
Answer» If the sides of a triangle are 4 cm, 6 cm and 6 cm, then find the height corresponding to the smallest side.

Discussion

7245.	In the figure, x + y=
Answer» In the figure, x + y=

7245.

In the figure, x + y=

Answer»

In the figure, x + y=

Discussion

7246.	ABCD is a parallelogram as shown with two sides 2 and 4. Find the sum of the squares of the diagonals.
Answer» ABCD is a parallelogram as shown with two sides 2 and 4. Find the sum of the squares of the diagonals.

7246.

ABCD is a parallelogram as shown with two sides 2 and 4. Find the sum of the squares of the diagonals.

Answer»

ABCD is a parallelogram as shown with two sides 2 and 4. Find the sum of the squares of the diagonals.

Discussion

7247.	Mark the correct alternative in each of the following:In a sphere the number of faces is(a) 1(b) 2(c) 3(d) 4
Answer» Mark the correct alternative in each of the following: In a sphere the number of faces is (a) 1 (b) 2 (c) 3 (d) 4

Discussion

7248.	If y=f(x)=x+2x−1, then which of the following is NOT TRUE?
Answer» If $y = f (x) = \frac{x + 2}{x - 1},$ then which of the following is NOT TRUE?

Discussion

7249.	From each corner of a square of side 4 cm a quadrant of a circle of radius 1 cm is cut and also a circle of diameter 2 cm is cut as shown in Fig.Find the area of the remaining portion of the square.
Answer» From each corner of a square of side 4 cm a quadrant of a circle of radius 1 cm is cut and also a circle of diameter 2 cm is cut as shown in Fig.Find the area of the remaining portion of the square.

Discussion

7250.	The angles of a quadrilateral are in the ratio 3:4:5:6. Find the angles of the quadrilateral.
Answer» The angles of a quadrilateral are in the ratio 3:4:5:6. Find the angles of the quadrilateral.

Discussion

Explore topic-wise InterviewSolutions in .

Find the volume of : [2 MARKS]

The value of (log3 2) (log4 3) (log5 4)…(log1514) (log16 15) is

Represent the given set in Roster form.A = {x:x is an integer, −32&lt;x&lt;112}

42. In the circle of radius 3 cm the length of major arc AB is 3 times the length of the minor arc AB.What is the length of the line segment AB ?

A point D is taken on the side BC of a ΔABC such that BD = 2DC. Prove that ar (Δ ABD) = 2 ar (Δ ADC).

Factorize:x2+23x-24

Question 2Determine the point on the graph of the linear equation 2x + 5y = 19 whose ordinate is 112 times its abscissa.

In the above figure, X and Y are the two axes and O is the origin. The two axes X and Y divide the plane into 4 parts. Which of the 4 parts is the III quadrant?

What is the length of MN, if M is (5,-3) and N is (-3,-3)

Find the median of 6, 9, 12, 15, 9, 3, 6, 9, 12, 6, 10, 3, 6, 15, 6

How many solutions does the pair of equatuons x+2y=3and 1/2x+y-3/2 have

Using the remainder theorem, find the remainder, when p(x) is divided by g(x), wherepx=2x3-7x2+9x-13, gx=x-3.

If x=2-1, then write the value of 1x.

The angle-bisectors of a parallelogram forms a quadrilateral as shown in the figure. Show that ABCD is a rectangle.

27x3 − y3 − z3 − 9xyz

Show that the points A(5, 2), B(2, − 2) and C(− 2, t) are the vertices of a right triangle with ∠B=90∘, then find the value of t.

For which of the following quadrilateral, do the diagonals intersect each other at 90∘?

Select the statement(s) from the given sentences.

Question 10 A point lies on positive direction of x-axis at a distance of 7 units from the y-axis. What are its Coordinates, if this lies in the negative direction of y-axis at a distance of 7 units from x-axis?

Explain how a square is a parallelogram.

Solve the following quadratic equation: 22x−3.2(x+2)+32=0

Solve: log5 (x+1)−1=1+log5 (x−1)

Identify the adverb in the below sentences. 1. He solved the sum quickly. 2. This flower is very beautiful. 3. She pronounces that word quite correctly.

Is π rational or irrational?

If y=50t–5t2 the value of y is maximum when t= ? Options: (1) 10 (2) 5 (3) 0 (4) –5

Two adjacent angles of rhombus are (3x−40)∘ and (2x+20)∘. Find the measure of the greater angle.

a=(x+y)/z, b=(y+z)/x, c=(z+x)/y then the value of 1/(a+1) ÷1/(b+1)+ 1/(c+1)

The correction to be applied to each 30 m chain for a line measurement along a slope of θ is

Which of the following is the set of measures of the sides of a triangle?(a) 8 cm, 4 cm, 20 cm(b) 9 cm, 17 cm, 25 cm(c) 11 cm, 16 cm, 28 cm(d) None of these

Write a program that implements a user defined function that accepts Principal Amount, Rate, Time, Number of Times the interest is compounded to calculate and displays compound interest.(Hint: CI = ((P*(1+R/N))NT)

The figure below shows a relation between sets P and Q. Write the relation R.

Question 66 (i) How many edges does the following solid have? Cone

Question 90(iii)Look at the histogram below and answer the questions that follow. ?What is class size ?

What is the surface area of a sphere?

In Fig. 6, ABCD is a square. If ∠PQR = 90° and PB = QC = DR, prove that ∠QPR = 45°.

Question 6In the given figure, AC = AE, AB = AD and ∠BAD=∠EAC. Show that BC = DE.

The figure below shows a circle centered at O and of radius 5 cm. AB and AC are two chords such that AB = AC = 6 cm. AP is perpendicular to BC. Find the length of the chord BC.

is not an algebraic expression.

The mean marks (out of 100) of boys and girls in an examination are 70 and 73 respectively. If the mean marks of all the students in that examination is 71, find the ratio of the nu!ber of boys to the number of girls

13 Any point D is taken on the base BC of a triangle ABC and it is produced to e such that d e equal to ad. show that show that the area of triangle BCE is equal to the area of triangle ABC

In the given figure, AS||DC,AD||EG||HF||SC.If ar(ΔADE)+ar(ΔGEF)+ar(ΔHSC) is 50cm2 , then the area of quadrilateral ASCD is equal to

31 For what value of 'k' would the points (a,0), (0,b) and(k,1) be collinear?

ABC is a triangle inscribed in a circle, AC being the diameter of the circle. The length of AC is as much more than the length of BC as the length of BC is more than the length of AB. Find AC:AB

If the sides of a triangle are 4 cm, 6 cm and 6 cm, then find the height corresponding to the smallest side.

In the figure, x + y=

ABCD is a parallelogram as shown with two sides 2 and 4. Find the sum of the squares of the diagonals.

Mark the correct alternative in each of the following:In a sphere the number of faces is(a) 1(b) 2(c) 3(d) 4

If y=f(x)=x+2x−1, then which of the following is NOT TRUE?

From each corner of a square of side 4 cm a quadrant of a circle of radius 1 cm is cut and also a circle of diameter 2 cm is cut as shown in Fig.Find the area of the remaining portion of the square.

The angles of a quadrilateral are in the ratio 3:4:5:6. Find the angles of the quadrilateral.

Represent the given set in Roster form.A = {x:x is an integer, −32<x<112}