24740 + Interview Questions in Mathematics Page 160 InterviewSolution

7951.	Question 9For what value of C, the linear equation 2x + cy = 8 has equal values of x and y for its solution?
Answer» Question 9 For what value of C, the linear equation 2x + cy = 8 has equal values of x and y for its solution?

Discussion

7952.	32 The graph of the inequality x>=0 ,y>=0, 2x+y+6
Answer» 32 The graph of the inequality x>=0 ,y>=0, 2x+y+6<=0 is a

Discussion

7953.	Question 89How many cubic meters of Earth must be dug to construct a well 7 m deep and of diameter 2.8 m?
Answer» Question 89 How many cubic meters of Earth must be dug to construct a well 7 m deep and of diameter 2.8 m?

7953.

Question 89How many cubic meters of Earth must be dug to construct a well 7 m deep and of diameter 2.8 m?

Answer»

Question 89

How many cubic meters of Earth must be dug to construct a well 7 m deep and of diameter 2.8 m?

Discussion

7954.	Prove that:(x + y)3 + (y + z)3 + (z + x)3 − 3(x + y) (y + z) (z + x) = (x3 + y3 + z3 − 3xyz).
Answer» Prove that: (x + y)³+ (y + z)³+ (z + x)³ − 3(x + y) (y + z) (z + x) = (x³ + y³ + z³ − 3xyz).

Discussion

7955.	ABCD is a parallelogram. Find ∠ ADC.
Answer» ABCD is a parallelogram. Find $∠$ ADC.

Discussion

7956.	Examine whether x+2 is a factor of x3+3x2+5x+6 and of 2x+4
Answer» Examine whether $x + 2$ is a factor of $x^{3} + 3 x^{2} + 5 x + 6$ and of $2 x + 4$

Discussion

7957.	AB and CD are two equal chords of a circle with centre O which intersect each other at right angles at point P. If the perpendiculars from the centre to AB and CD meet them at M and N respectively, then MONP is a_______.
Answer» AB and CD are two equal chords of a circle with centre O which intersect each other at right angles at point P. If the perpendiculars from the centre to AB and CD meet them at M and N respectively, then MONP is a_______.

Discussion

7958.	In ΔABC, AD is the perpendicular bisector of BC. Show that ΔABC is an isosceles triangle in which AB = AC.
Answer» In ΔABC, AD is the perpendicular bisector of BC. Show that ΔABC is an isosceles triangle in which AB = AC.

Discussion

7959.	Find x if log2 (x−5)>3
Answer» Find $x$ if ${log}_{2} (x - 5) > 3$

Discussion

7960.	Kevin hired a cab and followed the path as shown in the figure. Find the difference between the total distance and displacement covered by him if all the distances in the figure are in kilometers? Ans - _
Answer» Kevin hired a cab and followed the path as shown in the figure. Find the difference between the total distance and displacement covered by him if all the distances in the figure are in kilometers? Ans - _

Discussion

7961.	angle between A and B is theta.if A+B and A-B make angle alpha and beta with A respectively,then (tan alpha + tan beta) is equal to
Answer» angle between A and B is theta.if A+B and A-B make angle alpha and beta with A respectively,then (tan alpha + tan beta) is equal to

Discussion

7962.	What is 6√15×4√3?
Answer» What is $6 \sqrt{15} \times 4 \sqrt{3}$ ?

Discussion

7963.	Write down the equation of pythagoras theorem.
Answer» Write down the equation of pythagoras theorem.

Discussion

7964.	In a right triangle, sum of the squares of two sides is equal to the square of the hypotenuse. By following these steps of construction, (i) Draw a line segment PQ = 11 cm (ii) At P construct an angle of 60o and at Q, an angle of 45o. (iii) Bisect these angles. Let the bisectors of these angles intersect at a point A. (iv)Draw perpendicular bisectors DE of AP to intersect PQ at B and FG of AQ to intersect PQ at C. (v). Join AB and AC. Triangle ABC has been obtained. In this ABC,
Answer» In a right triangle, sum of the squares of two sides is equal to the square of the hypotenuse. By following these steps of construction, (i) Draw a line segment PQ = 11 cm (ii) At P construct an angle of 60o and at Q, an angle of 45^o. (iii) Bisect these angles. Let the bisectors of these angles intersect at a point A. (iv)Draw perpendicular bisectors DE of AP to intersect PQ at B and FG of AQ to intersect PQ at C. (v). Join AB and AC. Triangle ABC has been obtained. In this ABC,

7964.

In a right triangle, sum of the squares of two sides is equal to the square of the hypotenuse. By following these steps of construction, (i) Draw a line segment PQ = 11 cm (ii) At P construct an angle of 60o and at Q, an angle of 45o. (iii) Bisect these angles. Let the bisectors of these angles intersect at a point A. (iv)Draw perpendicular bisectors DE of AP to intersect PQ at B and FG of AQ to intersect PQ at C. (v). Join AB and AC. Triangle ABC has been obtained. In this ABC,

Answer»

In a right triangle, sum of the squares of two sides is equal to the square of the hypotenuse.

By following these steps of construction,

(i) Draw a line segment PQ = 11 cm

(ii) At P construct an angle of 60o and at Q, an angle of 45^o.

(iii) Bisect these angles. Let the

bisectors of these angles intersect at a point A.

(iv)Draw perpendicular bisectors DE of AP to intersect PQ at B and FG of AQ to intersect PQ at C.

(v). Join AB and AC. Triangle ABC has been obtained. In this ABC,

Discussion

7965.	Question 2Given that the zeroes of the cubic polynomial x3–6x2+3x+10 are of the form (a), (a + b) and (a + 2b) for some real numbers a and b, find the values of a and b as well as the zeroes of the given polynomial.
Answer» Question 2 Given that the zeroes of the cubic polynomial $x^{3} - 6 x^{2} + 3 x + 10$ are of the form (a), (a + b) and (a + 2b) for some real numbers a and b, find the values of a and b as well as the zeroes of the given polynomial.

Discussion

7966.	Divide 3x3−2x2+5 by x2−1
Answer» Divide $3 x^{3} - 2 x^{2} + 5$ by $x^{2} - 1$

Discussion

7967.	Construct an isosceles triangle whose base is 6 cm and altitude 4 cm. Then, construct another triangle whose sides are 34 times the corresponding sides of the first triangle.
Answer» Construct an isosceles triangle whose base is 6 cm and altitude 4 cm. Then, construct another triangle whose sides are $\frac{3}{4}$ times the corresponding sides of the first triangle.

Discussion

7968.	If each side of a triangle is increased by 12/5% then, the area of the triangle is increased by?
Answer» If each side of a triangle is increased by 12/5% then, the area of the triangle is increased by?

Discussion

7969.	Question 54State whether the following statement is True or False.The given shape is a cylinder.
Answer» Question 54 State whether the following statement is True or False. The given shape is a cylinder.

Discussion

7970.	\sqrt{5\sqrt{25\sqrt{5\sqrt{5\sqrt{5 }}}}} = 5^{-2x} The value of x is
Answer» \sqrt{5\sqrt{25\sqrt{5\sqrt{5\sqrt{5 }}}}} = 5^{-2x} The value of x is

Discussion

7971.	You have 2 numbers: eighty-seven and seventy-eight. Which of the two is larger? Find the difference between them.
Answer» You have 2 numbers: eighty-seven and seventy-eight. Which of the two is larger? Find the difference between them.

Discussion

7972.	Question 1The radii of two circles are 19 cm and 9 cm respectively. Find the radius of the circle which has circumference equal to the sum of the circumferences of the two circles.
Answer» Question 1 The radii of two circles are 19 cm and 9 cm respectively. Find the radius of the circle which has circumference equal to the sum of the circumferences of the two circles.

Discussion

7973.	If 21 (x^2 +y^2 + z^2) =(x + 2y + 4z) ^2 then x, y, z are in
Answer» If 21 (x^2 +y^2 + z^2) =(x + 2y + 4z) ^2 then x, y, z are in

Discussion

7974.	find the dis†an ce of point (1,3) from the line 2x-3y+9=0 measured along the line x-y+1=0 ?
Answer» find the dis†an ce of point (1,3) from the line 2x-3y+9=0 measured along the line x-y+1=0 ?

Discussion

7975.	The water bills (in rupees) of 32 houses in a certain street for the period 1.1.98 to 31.3.98 are given below:56, 43, 32, 38, 56, 24, 68, 85, 52, 47, 35, 58, 63, 74, 27, 84, 69, 35, 44, 75, 55, 30, 54, 65, 45, 67, 95, 72, 43, 65, 35, 59.Tabulate the data and present the data as a cumulative frequency table using 70-79 as one of the class intervals.
Answer» The water bills (in rupees) of 32 houses in a certain street for the period 1.1.98 to 31.3.98 are given below: 56, 43, 32, 38, 56, 24, 68, 85, 52, 47, 35, 58, 63, 74, 27, 84, 69, 35, 44, 75, 55, 30, 54, 65, 45, 67, 95, 72, 43, 65, 35, 59. Tabulate the data and present the data as a cumulative frequency table using 70-79 as one of the class intervals.

Discussion

7976.	If the radius of a circle is 5 cm, find the value of the cube of its diameter.
Answer» If the radius of a circle is $5 c m$ , find the value of the cube of its diameter.

Discussion

7977.	The difference between the sides at right angles in a right angled triangle is 14 cm. The area of the triangle is 120sq.cm. find the perimeter.
Answer» The difference between the sides at right angles in a right angled triangle is 14 cm. The area of the triangle is 120sq.cm. find the perimeter.

Discussion

7978.	The number 0.318564318564318564….. is:
Answer» The number 0.318564318564318564….. is:

Discussion

7979.	If the radius of a circle passing through all vertices of a rectangle is 4cm. Find the length of its diagonal.8
Answer» If the radius of a circle passing through all vertices of a rectangle is 4cm. Find the length of its diagonal. 8

Discussion

7980.	Which of the following figures show the correct method to construct a triangle if we know its base, a base angle and sum of other two sides?
Answer» Which of the following figures show the correct method to construct a triangle if we know its base, a base angle and sum of other two sides?

Discussion

7981.	Answer the questions on the basis of the information given below. The line graph given below shows the sales (in ‘000 units) of four soft drinks companies for six different months from November – 2010 to April - 2011 for a particular region. The sales of Pepsi in February – 2011 was what percent more than the sales of Coke in November – 2010?
Answer» Answer the questions on the basis of the information given below. The line graph given below shows the sales (in ‘000 units) of four soft drinks companies for six different months from November – 2010 to April - 2011 for a particular region. The sales of Pepsi in February – 2011 was what percent more than the sales of Coke in November – 2010?

7981.

Answer the questions on the basis of the information given below. The line graph given below shows the sales (in ‘000 units) of four soft drinks companies for six different months from November – 2010 to April - 2011 for a particular region. The sales of Pepsi in February – 2011 was what percent more than the sales of Coke in November – 2010?

Answer»

Answer the questions on the basis of the information given below. The line graph given below shows the sales (in ‘000 units) of four soft drinks companies for six different months from November – 2010 to April - 2011 for a particular region.

The sales of Pepsi in February – 2011 was what percent more than the sales of Coke in November – 2010?

Discussion

7982.	Give five examples of data that you can collect from day to day life.
Answer» Give five examples of data that you can collect from day to day life.

Discussion

7983.	Question 4 In the figure, the area of parallelogram ABCD is: A) AB × BM B) BC × BN C) DC × DL D) AD × DL
Answer» Question 4 In the figure, the area of parallelogram ABCD is: A) AB $\times$ BM B) BC $\times$ BN C) DC $\times$ DL D) AD $\times$ DL

Discussion

7984.	Two lines AB and CD intersect at O. If ∠AOC + ∠COB + ∠BOD = 270°, then ∠AOC =(a) 70°(b) 80°(c) 90°(d) 180°
Answer» Two lines AB and CD intersect at O. If ∠AOC + ∠COB + ∠BOD = 270°, then ∠AOC = (a) 70° (b) 80° (c) 90° (d) 180°

Discussion

7985.	Which all formula we can use to find the area of triangle
Answer» Which all formula we can use to find the area of triangle

7985.

Which all formula we can use to find the area of triangle

Answer»

Which all formula we can use to find the area of triangle

Discussion

7986.	Question 8 In ΔABC,AB=5cm, BC = 8 cm and CA = 7 cm. If D and E are respectively the mid-points of AB and BC, determine the length of DE
Answer» Question 8 In $Δ A B C, A B = 5 c m$ , BC = 8 cm and CA = 7 cm. If D and E are respectively the mid-points of AB and BC, determine the length of DE

Discussion

7987.	IfA=⎡⎢⎣cos xsin x0−sin xcos x0001⎤⎥⎦=f(x), then A−1 is equal to
Answer» $I f A = ⎡ ⎢ ⎣ \begin{matrix} c o s x & s i n x & 0 - s i n x & c o s x & 0 0 & 0 & 1 \end{matrix} ⎤ ⎥ ⎦ = f (x), t h e n A^{- 1}$ is equal to

Discussion

7988.	The average of 10 numbers is 20. If the average of first nine numbers is 21, what will be the value of the last number..
Answer» The average of 10 numbers is 20. If the average of first nine numbers is 21, what will be the value of the last number..

Discussion

7989.	A big iron boiler tank opened on top is cylindrical in shape.It has height is 10 m and radius is 7m. It gets corroded at a rate of 3 sq. meter/day. The number of days in which it totally gets corroded is (Take pi=227)
Answer» A big iron boiler tank opened on top is cylindrical in shape.It has height is 10 m and radius is 7m. It gets corroded at a rate of 3 sq. meter/day. The number of days in which it totally gets corroded is (Take pi= $\frac{22}{7}$ )

Discussion

7990.	79.do the following problem with the process of factarisation of polynomials (x-y)+ (y-x)2 is equal to 1)(y -x)2(1-y+x) 2)(x- y)2(1+y+x) 3)(x-y)2(1+y-x) 4)(y-x)2(1+y+x)
Answer» 79.do the following problem with the process of factarisation of polynomials (x-y)+ (y-x)2 is equal to 1)(y -x)2(1-y+x) 2)(x- y)2(1+y+x) 3)(x-y)2(1+y-x) 4)(y-x)2(1+y+x)

Discussion

7991.	Choose the correct statement number from the following regarding the given figure.1. Rhombus and Rectangle2. Rhombus and Parallelogram3. Rectangle and Rhombus4. Parallelogram and Rhombus5. Rectangle and Parallelogram1
Answer» Choose the correct statement number from the following regarding the given figure. 1. Rhombus and Rectangle 2. Rhombus and Parallelogram 3. Rectangle and Rhombus 4. Parallelogram and Rhombus 5. Rectangle and Parallelogram 1

Discussion

7992.	In the given figure, the sum of a,b,c,d,e and f is
Answer» In the given figure, the sum of a,b,c,d,e and f is

Discussion

7993.	Ashu has constructed the bisector of AB in such a way that AO=BO and AP=BP. The value of ∠AQO is.
Answer» Ashu has constructed the bisector of AB in such a way that AO=BO and AP=BP. The value of $∠ A Q O$ is.

Discussion

7994.	Experimental or Empirical Probability of an event lies between
Answer» Experimental or Empirical Probability of an event lies between

Discussion

7995.	Prove that diameter of a circle perpendicular to one of the two parallel chords of a circle is perpendicular to the other and bisects it.
Answer» Prove that diameter of a circle perpendicular to one of the two parallel chords of a circle is perpendicular to the other and bisects it.

Discussion

7996.	A line segment AB is of length 5cm. Draw a circle of radius 4 cm passing through A and B. Can you draw a circle of radius 2 cm passing through A and B? Give reason in support of your answer.
Answer» A line segment AB is of length 5cm. Draw a circle of radius 4 cm passing through A and B. Can you draw a circle of radius 2 cm passing through A and B? Give reason in support of your answer.

Discussion

7997.	In the follow diagram, lines l, m and n are parallel to each other. Two transversals p and q intersect the parallel lines l, m and n at points A,B,C and P,Q,R respectively as shown below. Prove that ABBC=PQQR .
Answer» In the follow diagram, lines l, m and n are parallel to each other. Two transversals p and q intersect the parallel lines l, m and n at points A,B,C and P,Q,R respectively as shown below. Prove that $\frac{A B}{B C} = \frac{P Q}{Q R}$ .

7997.

In the follow diagram, lines l, m and n are parallel to each other. Two transversals p and q intersect the parallel lines l, m and n at points A,B,C and P,Q,R respectively as shown below. Prove that ABBC=PQQR .

Answer»

In the follow diagram, lines l, m and n are parallel to each other. Two transversals p and q intersect the parallel lines l, m and n at points A,B,C and P,Q,R respectively as shown below. Prove that $\frac{A B}{B C} = \frac{P Q}{Q R}$ .

Discussion

7998.	Find the zeros of the quadratic polynomialf(x)=x^2/a+b/ac*-x/b-1/c
Answer» Find the zeros of the quadratic polynomial f(x)=x^2/a+b/ac*-x/b-1/c

Discussion

7999.	A cylindrical pillar is 50 cm in diameter and 3.5 m in height. Find the cost of painting the curved surface of the pillar at the rate of 12.50 per m2.
Answer» A cylindrical pillar is 50 cm in diameter and 3.5 m in height. Find the cost of painting the curved surface of the pillar at the rate of 12.50 per m².

Discussion

8000.	If opposite angles in a parallelogram are 110 degrees each, what are the other two angles?
Answer» If opposite angles in a parallelogram are 110 degrees each, what are the other two angles?

Discussion

Explore topic-wise InterviewSolutions in .

Question 9For what value of C, the linear equation 2x + cy = 8 has equal values of x and y for its solution?

32 The graph of the inequality x>=0 ,y>=0, 2x+y+6

Question 89How many cubic meters of Earth must be dug to construct a well 7 m deep and of diameter 2.8 m?

Prove that:(x + y)3 + (y + z)3 + (z + x)3 − 3(x + y) (y + z) (z + x) = (x3 + y3 + z3 − 3xyz).

ABCD is a parallelogram. Find ∠ ADC.

Examine whether x+2 is a factor of x3+3x2+5x+6 and of 2x+4

AB and CD are two equal chords of a circle with centre O which intersect each other at right angles at point P. If the perpendiculars from the centre to AB and CD meet them at M and N respectively, then MONP is a_______.

In ΔABC, AD is the perpendicular bisector of BC. Show that ΔABC is an isosceles triangle in which AB = AC.

Find x if log2 (x−5)&gt;3

Kevin hired a cab and followed the path as shown in the figure. Find the difference between the total distance and displacement covered by him if all the distances in the figure are in kilometers? Ans - _

angle between A and B is theta.if A+B and A-B make angle alpha and beta with A respectively,then (tan alpha + tan beta) is equal to

What is 6√15×4√3?

Write down the equation of pythagoras theorem.

Question 2Given that the zeroes of the cubic polynomial x3–6x2+3x+10 are of the form (a), (a + b) and (a + 2b) for some real numbers a and b, find the values of a and b as well as the zeroes of the given polynomial.

Divide 3x3−2x2+5 by x2−1

Construct an isosceles triangle whose base is 6 cm and altitude 4 cm. Then, construct another triangle whose sides are 34 times the corresponding sides of the first triangle.

If each side of a triangle is increased by 12/5% then, the area of the triangle is increased by?

Question 54State whether the following statement is True or False.The given shape is a cylinder.

\sqrt{5\sqrt{25\sqrt{5\sqrt{5\sqrt{5 }}}}} = 5^{-2x} The value of x is

You have 2 numbers: eighty-seven and seventy-eight. Which of the two is larger? Find the difference between them.

Question 1The radii of two circles are 19 cm and 9 cm respectively. Find the radius of the circle which has circumference equal to the sum of the circumferences of the two circles.

If 21 (x^2 +y^2 + z^2) =(x + 2y + 4z) ^2 then x, y, z are in

find the dis†an ce of point (1,3) from the line 2x-3y+9=0 measured along the line x-y+1=0 ?

If the radius of a circle is 5 cm, find the value of the cube of its diameter.

The difference between the sides at right angles in a right angled triangle is 14 cm. The area of the triangle is 120sq.cm. find the perimeter.

The number 0.318564318564318564….. is:

If the radius of a circle passing through all vertices of a rectangle is 4cm. Find the length of its diagonal.8

Which of the following figures show the correct method to construct a triangle if we know its base, a base angle and sum of other two sides?

Give five examples of data that you can collect from day to day life.

Question 4 In the figure, the area of parallelogram ABCD is: A) AB × BM B) BC × BN C) DC × DL D) AD × DL

Two lines AB and CD intersect at O. If ∠AOC + ∠COB + ∠BOD = 270°, then ∠AOC =(a) 70°(b) 80°(c) 90°(d) 180°

Which all formula we can use to find the area of triangle

Question 8 In ΔABC,AB=5cm, BC = 8 cm and CA = 7 cm. If D and E are respectively the mid-points of AB and BC, determine the length of DE

IfA=⎡⎢⎣cos xsin x0−sin xcos x0001⎤⎥⎦=f(x), then A−1 is equal to

The average of 10 numbers is 20. If the average of first nine numbers is 21, what will be the value of the last number..

A big iron boiler tank opened on top is cylindrical in shape.It has height is 10 m and radius is 7m. It gets corroded at a rate of 3 sq. meter/day. The number of days in which it totally gets corroded is (Take pi=227)

79.do the following problem with the process of factarisation of polynomials (x-y)+ (y-x)2 is equal to 1)(y -x)2(1-y+x) 2)(x- y)2(1+y+x) 3)(x-y)2(1+y-x) 4)(y-x)2(1+y+x)

Choose the correct statement number from the following regarding the given figure.1. Rhombus and Rectangle2. Rhombus and Parallelogram3. Rectangle and Rhombus4. Parallelogram and Rhombus5. Rectangle and Parallelogram1

In the given figure, the sum of a,b,c,d,e and f is

Ashu has constructed the bisector of AB in such a way that AO=BO and AP=BP. The value of ∠AQO is.

Experimental or Empirical Probability of an event lies between

Prove that diameter of a circle perpendicular to one of the two parallel chords of a circle is perpendicular to the other and bisects it.

A line segment AB is of length 5cm. Draw a circle of radius 4 cm passing through A and B. Can you draw a circle of radius 2 cm passing through A and B? Give reason in support of your answer.

In the follow diagram, lines l, m and n are parallel to each other. Two transversals p and q intersect the parallel lines l, m and n at points A,B,C and P,Q,R respectively as shown below. Prove that ABBC=PQQR .

Find the zeros of the quadratic polynomialf(x)=x^2/a+b/ac*-x/b-1/c

A cylindrical pillar is 50 cm in diameter and 3.5 m in height. Find the cost of painting the curved surface of the pillar at the rate of 12.50 per m2.

If opposite angles in a parallelogram are 110 degrees each, what are the other two angles?

Find x if log2 (x−5)>3