24740 + Interview Questions in Mathematics Page 231 InterviewSolution

11501.	If the abscissa of a point is y and the ordinate is x then the coordinates of the point are ______ .
Answer» If the abscissa of a point is y and the ordinate is x then the coordinates of the point are ______ .

Discussion

11502.	Three equal cubes are placed adjacently in a row. The ratio of the total surface area of the resulting cuboid to that of the sum of the surface areas of three cubes, is(a) 7 : 9(b) 49 : 81(c) 9 : 7(d) 27 : 23
Answer» Three equal cubes are placed adjacently in a row. The ratio of the total surface area of the resulting cuboid to that of the sum of the surface areas of three cubes, is (a) 7 : 9 (b) 49 : 81 (c) 9 : 7 (d) 27 : 23

Discussion

11503.	The length of perpendicular and the base of a right angled triangle are 84 cms and 288 cms respectively. Calculate the length of hypotenuse (in cms)
Answer» The length of perpendicular and the base of a right angled triangle are 84 cms and 288 cms respectively. Calculate the length of hypotenuse (in cms)

Discussion

11504.	An isosceles triangle of vertical angle 2θ is inscribed in a circle of radius a. Show that the area of the triangle is maximum when θ = π6. [NCERT EXEMPLAR]
Answer» An isosceles triangle of vertical angle 2 $θ$ is inscribed in a circle of radius a. Show that the area of the triangle is maximum when $θ$ = $\frac{π}{6}$ . [NCERT EXEMPLAR]

Discussion

11505.	(xm)n is equal to:
Answer» $(x^{m})^{n}$ is equal to:

Discussion

11506.	Find the total number of outcomes when two coins and a die are tossed and rolled simultaneously.
Answer» Find the total number of outcomes when two coins and a die are tossed and rolled simultaneously.

Discussion

11507.	Question 4 (iii) Express in Kg 4kg 8g
Answer» Question 4 (iii) Express in Kg 4kg 8g

Discussion

11508.	Which of the following options correctly match, when subject of the formula is change to x. y=3x2+4x2−5
Answer» Which of the following options correctly match, when subject of the formula is change to x. $y = \frac{3 x^{2} + 4}{x^{2} - 5}$

11508.

Which of the following options correctly match, when subject of the formula is change to x. y=3x2+4x2−5

Answer»

Which of the following options correctly match, when subject of the formula is change to x.

$y = \frac{3 x^{2} + 4}{x^{2} - 5}$

Discussion

11509.	Question 11Find the area of the shaded region in figure, where arcs drawn with centres, A, B , C and D intersect in pairs at mid - point P, Q, R and S of the sides AB , BC , CD and DA, respectively of a square ABCD (use π=3.14)
Answer» Question 11 Find the area of the shaded region in figure, where arcs drawn with centres, A, B , C and D intersect in pairs at mid - point P, Q, R and S of the sides AB , BC , CD and DA, respectively of a square ABCD (use $π = 3.14$ )

Discussion

11510.	If the angles of a triangle are in the ratio 1 : 2 : 3, determine three angles.
Answer» If the angles of a triangle are in the ratio 1 : 2 : 3, determine three angles.

Discussion

11511.	Factorise: a2+b2-2ba+2bc-2ca
Answer» Factorise: a²+b²-2ba+2bc-2ca

11511.

Factorise: a2+b2-2ba+2bc-2ca

Answer»

Factorise:

a²+b²-2ba+2bc-2ca

Discussion

11512.	The length, breadth and height of a cuboidal tank are 150 cm, 120 cm and 110 cm respectively. The tank has 129600cm3 of water in it. 100 porous bricks each having dimensions 20cm×10cm×10 cm are placed in the tank. Calculate the rise in the water level of the tank, if each brick absorbs 110 of its own volume.
Answer» The length, breadth and height of a cuboidal tank are 150 cm, 120 cm and 110 cm respectively. The tank has $129600 c m^{3}$ of water in it. 100 porous bricks each having dimensions $20 c m \times 10 c m \times 10$ cm are placed in the tank. Calculate the rise in the water level of the tank, if each brick absorbs $\frac{1}{10}$ of its own volume.

Discussion

11513.	In a right angled triangle, as shown below, if AB = 3 cm, BC = 4 cm, then what is the value of cos A?
Answer» In a right angled triangle, as shown below, if AB = 3 cm, BC = 4 cm, then what is the value of cos A?

11513.

In a right angled triangle, as shown below, if AB = 3 cm, BC = 4 cm, then what is the value of cos A?

Answer»

In a right angled triangle, as shown below, if AB = 3 cm, BC = 4 cm, then what is the value of cos A?

Discussion

11514.	The graph of x + 3 = 0 is a line(a) making an intercept –3 on the x-axis(b) making an intercept –3 on the y-axis(c) parallel to the y-axis at a distance of 3 units to the left of y-axis(d) parallel to the x-axis at a distance of 3 units below the x-axis
Answer» The graph of x + 3 = 0 is a line (a) making an intercept –3 on the x-axis (b) making an intercept –3 on the y-axis (c) parallel to the y-axis at a distance of 3 units to the left of y-axis (d) parallel to the x-axis at a distance of 3 units below the x-axis

Discussion

11515.	For each of the pictures below, give the algebraic condition satisfied by all numbers in the portion marked:
Answer» For each of the pictures below, give the algebraic condition satisfied by all numbers in the portion marked:

11515.

For each of the pictures below, give the algebraic condition satisfied by all numbers in the portion marked:

Answer»

For each of the pictures below, give the algebraic condition satisfied by all numbers in the portion marked:

Discussion

11516.	Find the value of 15(x−2)×3 if x = 2
Answer» Find the value of $15^{(x - 2) \times 3}$ if x = 2

Discussion

11517.	Which of the following should be the SECOND sentence after rearrangement?
Answer» Which of the following should be the SECOND sentence after rearrangement?

Discussion

11518.	Q }7/30 We have }100mL of }0.1MKCl solution. To make it }0.2M
Answer» Q }7/30 We have }100mL of }0.1MKCl solution. To make it }0.2M

Discussion

11519.	The area of an equilateral triangle whose side is 2 cm is √A. The integral value of A is___
Answer» The area of an equilateral triangle whose side is 2 cm is $\sqrt{A}$ . The integral value of A is___

Discussion

11520.	If PQRS is a square, then write the measure of ∠SRP.
Answer» If PQRS is a square, then write the measure of ∠SRP.

Discussion

11521.	Question 4 The students of a class are made to stand in rows. If 3 students are extra in a row, there would be 1 row less. If 3 students are less in a row, there would be 2 rows more. Find the number of students in the class.
Answer» Question 4 The students of a class are made to stand in rows. If 3 students are extra in a row, there would be 1 row less. If 3 students are less in a row, there would be 2 rows more. Find the number of students in the class.

Discussion

11522.	Curved surface area of a right circular cylinder is 4.4 m2. If the radius of the base of the cylinder is 0.7 m, find its height.
Answer» Curved surface area of a right circular cylinder is 4.4 m². If the radius of the base of the cylinder is 0.7 m, find its height.

Discussion

11523.	Prove that the points (a, b), (a\ast, b\ast) and (a - a\ast, b - b\ast) are collinear, if ab\ast = ab.
Answer» Prove that the points (a, b), (a\ast, b\ast) and (a - a\ast, b - b\ast) are collinear, if ab\ast = ab.

Discussion

11524.	The length and corresponding height of a parallelogram is 6m and 8m respectively. The area of the parallelogram is ___ m2 .
Answer» The length and corresponding height of a parallelogram is 6m and 8m respectively. The area of the parallelogram is ___ $m^{2}$ .

Discussion

11525.	Equal chords AB and CD of a circle with centre O, cut at right angles at E. If M and N are the midpoints of AB and CD respectively, prove that OMEN is a square. [4 MARKS]
Answer» Equal chords AB and CD of a circle with centre O, cut at right angles at E. If M and N are the midpoints of AB and CD respectively, prove that OMEN is a square. [4 MARKS]

Discussion

11526.	Given the point P (3, 4). What is the distance of point P from (a) x-axis (b) y-axis?
Answer» Given the point P (3, 4). What is the distance of point P from (a) x-axis (b) y-axis?

Discussion

11527.

Each student will now complete his/ her half of the following table (Hockey or Football), by adding information from the text each has read. Hockey Football Ball: Playing Area: Duration: Judging: Penalties: Penalty Area: Cards:

Answer»

Each student will now complete his/ her half of the following table (Hockey or Football), by adding information from the text each has read.

	Hockey	Football
Ball:
Playing Area:
Duration:
Judging:
Penalties:
Penalty Area:
Cards:

Discussion

11528.	factorize : x2 +x/4 - 1/8
Answer» factorize : x² +x/4 - 1/8

Discussion

11529.	Factorise:x2 – 4x + 3
Answer» Factorise: x² – 4x + 3

Discussion

11530.	Question 7 (i)To know the opinion of the students about the subject statistics, a survey of 200 students was conducted. The data is recorded in the following table.OpinionNumber of studentslike135dislike65Find the probability that a student chosen at random(i) likes statistics
Answer» Question 7 (i) To know the opinion of the students about the subject statistics, a survey of 200 students was conducted. The data is recorded in the following table. $\begin{matrix} Opinion & Number of students like & 135 dislike & 65 \end{matrix}$ Find the probability that a student chosen at random (i) likes statistics

Discussion

11531.	An angle 'x' is 14∘ more than its complement. Find the angle.
Answer» An angle 'x' is 14 $^{\circ}$ more than its complement. Find the angle.

Discussion

11532.	A target shown in the given figure consists of three concentric circle of radii 3, 7 and 9 cm respectively. A dart is thrown and lands on the target. What is the probability that the dart will land on the shaded region?
Answer» A target shown in the given figure consists of three concentric circle of radii 3, 7 and 9 cm respectively. A dart is thrown and lands on the target. What is the probability that the dart will land on the shaded region?

Discussion

11533.	Factorize x²-3x
Answer» Factorize x²-3x

Discussion

11534.	In the equilateral triangle ABC ,the points D and E are on AC and AB respectively ,such that BD and CE intersect at 0,and the area of the quadrilateral ADoE is equal to area of triangle BoC find angleBOE? f
Answer» In the equilateral triangle ABC ,the points D and E are on AC and AB respectively ,such that BD and CE intersect at 0,and the area of the quadrilateral ADoE is equal to area of triangle BoC find angleBOE? f

Discussion

11535.	Which of the linear equation can represent the statement " the cost of an article is 20% more than that of another article?
Answer» Which of the linear equation can represent the statement " the cost of an article is 20% more than that of another article?

Discussion

11536.	The value of (√2+√2)(√2−√2) is _____.0
Answer» The value of $(\sqrt{2} + \sqrt{2}) (\sqrt{2} - \sqrt{2})$ is _____. 0

Discussion

11537.	What should be added to x2−3x+8 to get 2x2+x−6?
Answer» What should be added to $x^{2} - 3 x + 8$ to get $2 x^{2} + x - 6$ ?

Discussion

11538.	Mohit borrowed a certain sum at 5% per annum compound interest and cleared this loan by paying Rs.12,600 at the end of the first year and Rs.17,640 at the end of the second year. Find the sum borrowed.
Answer» Mohit borrowed a certain sum at $5 %$ per annum compound interest and cleared this loan by paying $R s .12, 600$ at the end of the first year and $R s . 17, 640$ at the end of the second year. Find the sum borrowed.

Discussion

11539.	In the following Figure, AB and CD are two diameters of a circle that are perpendicular to each other and OD is the diameter of the smaller circle. If OA = 7 cm, find the area of the shaded region.
Answer» In the following Figure, AB and CD are two diameters of a circle that are perpendicular to each other and OD is the diameter of the smaller circle. If OA = 7 cm, find the area of the shaded region.

11539.

In the following Figure, AB and CD are two diameters of a circle that are perpendicular to each other and OD is the diameter of the smaller circle. If OA = 7 cm, find the area of the shaded region.

Answer»

In the following Figure, AB and CD are two diameters of a circle that are perpendicular to each other and OD is the diameter of the smaller circle. If OA = 7 cm, find the area of the shaded region.

Discussion

11540.	Question 6The midpoint of the sides of the triangle along with any of the vertices as the point make a parallelogram of area equal to:A) 12 ar(ABC)B) 13 ar(ABC)C) 14 ar(ABC)D) ar(ABC)
Answer» Question 6 The midpoint of the sides of the triangle along with any of the vertices as the point make a parallelogram of area equal to: A) $\frac{1}{2}$ ar(ABC) B) $\frac{1}{3}$ ar(ABC) C) $\frac{1}{4}$ ar(ABC) D) $a r (A B C)$

Discussion

11541.	Question 7If cos9α=sinα and 9a<90∘, then the value of tan5α is(A) 1√3(B) √3(C) 1(D) 0
Answer» Question 7 If $c o s 9 α = s i n α$ and $9 a < 90^{\circ}$ , then the value of $t a n 5 α$ is (A) $\frac{1}{\sqrt{3}}$ (B) $\sqrt{3}$ (C) $1$ (D) $0$

Discussion

11542.	Draw a rectangle PQRS in which vertices P, Q, R and S are (1,4), (-5,4), (-5,-3) and (1,-3) respectively.
Answer» Draw a rectangle PQRS in which vertices P, Q, R and S are (1,4), (-5,4), (-5,-3) and (1,-3) respectively.

Discussion

11543.	Question 152 (iv)A rectangle MORE is shown below.Answer the following questions by giving an appropriate reason.Is ΔMYO≅ΔRXE?
Answer» Question 152 (iv) A rectangle MORE is shown below. Answer the following questions by giving an appropriate reason. Is $Δ M Y O ≅ Δ R X E$ ?

Discussion

11544.	In the given figure A, B and C are three points on a circle with centre O such that ∠BOC=30∘ and ∠AOB=60∘. If D is a point on the circle other than the arc ABC, find ∠ADC in degrees.45
Answer» In the given figure A, B and C are three points on a circle with centre O such that $∠ B O C = 30^{\circ}$ and $∠ A O B = 60^{\circ}$ . If D is a point on the circle other than the arc ABC, find $∠ A D C$ in degrees. 45

Discussion

11545.	An ice cream shop recorded the number of customers purchasing ice creams of different flavours. FlavourNumberofcustomerVanilla7Chocolate18Strawberry12Pista13 (i) Find the probability of ordering choclate; (ii) Find the probability of not ordering strawberry [3MARKS]
Answer» An ice cream shop recorded the number of customers purchasing ice creams of different flavours. $\begin{matrix} F l a v o u r & N u m b e r o f c u s t o m e r V a n i l l a & 7 C h o c o l a t e & 18 S t r a w b e r r y & 12 P i s t a & 13 \end{matrix}$ (i) Find the probability of ordering choclate; (ii) Find the probability of not ordering strawberry [3MARKS]

11545.

An ice cream shop recorded the number of customers purchasing ice creams of different flavours. FlavourNumberofcustomerVanilla7Chocolate18Strawberry12Pista13 (i) Find the probability of ordering choclate; (ii) Find the probability of not ordering strawberry [3MARKS]

Answer»

An ice cream shop recorded the number of customers purchasing ice creams of different flavours.

$\begin{matrix} F l a v o u r & N u m b e r o f c u s t o m e r V a n i l l a & 7 C h o c o l a t e & 18 S t r a w b e r r y & 12 P i s t a & 13 \end{matrix}$

(i) Find the probability of ordering choclate;

(ii) Find the probability of not ordering strawberry [3MARKS]

Discussion

11546.	What's the equation of the line passing through the points (0,0), (1,1) and (2,2)?
Answer» What's the equation of the line passing through the points (0,0), (1,1) and (2,2)?

Discussion

11547.	Question 1 ABC is a triangle. Locate a point in the interior of Δ ABC which is equidistant from all the vertices of Δ ABC.
Answer» Question 1 ABC is a triangle. Locate a point in the interior of $Δ$ ABC which is equidistant from all the vertices of $Δ$ ABC.

Discussion

11548.	4a2+b2+4ab+8a+4b+4=? (a) (2a+b+2)2 (b) (2a−b+2)2 (c) (a+2b+2)2 (d) None of these
Answer» $4 a^{2} + b^{2} + 4 a b + 8 a + 4 b + 4$ =? (a) $(2 a + b + 2)^{2}$ (b) $(2 a - b + 2)^{2}$ (c) $(a + 2 b + 2)^{2}$ (d) None of these

11548.

4a2+b2+4ab+8a+4b+4=? (a) (2a+b+2)2 (b) (2a−b+2)2 (c) (a+2b+2)2 (d) None of these

Answer»

$4 a^{2} + b^{2} + 4 a b + 8 a + 4 b + 4$ =?

(a) $(2 a + b + 2)^{2}$

(b) $(2 a - b + 2)^{2}$

(c) $(a + 2 b + 2)^{2}$

(d) None of these

Discussion

11549.	A point with both of its coordinates positive lies in which quadrant?
Answer» A point with both of its coordinates positive lies in which quadrant?

Discussion

11550.	Rational number between root 3 and root 5.
Answer» Rational number between root 3 and root 5.

Discussion

Explore topic-wise InterviewSolutions in .

If the abscissa of a point is y and the ordinate is x then the coordinates of the point are ______ .

Three equal cubes are placed adjacently in a row. The ratio of the total surface area of the resulting cuboid to that of the sum of the surface areas of three cubes, is(a) 7 : 9(b) 49 : 81(c) 9 : 7(d) 27 : 23

The length of perpendicular and the base of a right angled triangle are 84 cms and 288 cms respectively. Calculate the length of hypotenuse (in cms)

An isosceles triangle of vertical angle 2θ is inscribed in a circle of radius a. Show that the area of the triangle is maximum when θ = π6. [NCERT EXEMPLAR]

(xm)n is equal to:

Find the total number of outcomes when two coins and a die are tossed and rolled simultaneously.

Question 4 (iii) Express in Kg 4kg 8g

Which of the following options correctly match, when subject of the formula is change to x. y=3x2+4x2−5

Question 11Find the area of the shaded region in figure, where arcs drawn with centres, A, B , C and D intersect in pairs at mid - point P, Q, R and S of the sides AB , BC , CD and DA, respectively of a square ABCD (use π=3.14)

If the angles of a triangle are in the ratio 1 : 2 : 3, determine three angles.

Factorise: a2+b2-2ba+2bc-2ca

In a right angled triangle, as shown below, if AB = 3 cm, BC = 4 cm, then what is the value of cos A?

The graph of x + 3 = 0 is a line(a) making an intercept –3 on the x-axis(b) making an intercept –3 on the y-axis(c) parallel to the y-axis at a distance of 3 units to the left of y-axis(d) parallel to the x-axis at a distance of 3 units below the x-axis

For each of the pictures below, give the algebraic condition satisfied by all numbers in the portion marked:

Find the value of 15(x−2)×3 if x = 2

Which of the following should be the SECOND sentence after rearrangement?

Q }7/30 We have }100mL of }0.1MKCl solution. To make it }0.2M

The area of an equilateral triangle whose side is 2 cm is √A. The integral value of A is___

If PQRS is a square, then write the measure of ∠SRP.

Question 4 The students of a class are made to stand in rows. If 3 students are extra in a row, there would be 1 row less. If 3 students are less in a row, there would be 2 rows more. Find the number of students in the class.

Curved surface area of a right circular cylinder is 4.4 m2. If the radius of the base of the cylinder is 0.7 m, find its height.

Prove that the points (a, b), (a\ast, b\ast) and (a - a\ast, b - b\ast) are collinear, if ab\ast = ab.

The length and corresponding height of a parallelogram is 6m and 8m respectively. The area of the parallelogram is ___ m2 .

Equal chords AB and CD of a circle with centre O, cut at right angles at E. If M and N are the midpoints of AB and CD respectively, prove that OMEN is a square. [4 MARKS]

Given the point P (3, 4). What is the distance of point P from (a) x-axis (b) y-axis?

Each student will now complete his/ her half of the following table (Hockey or Football), by adding information from the text each has read. Hockey Football Ball: Playing Area: Duration: Judging: Penalties: Penalty Area: Cards:

factorize : x2 +x/4 - 1/8

Factorise:x2 – 4x + 3

Question 7 (i)To know the opinion of the students about the subject statistics, a survey of 200 students was conducted. The data is recorded in the following table.OpinionNumber of studentslike135dislike65Find the probability that a student chosen at random(i) likes statistics

An angle 'x' is 14∘ more than its complement. Find the angle.

A target shown in the given figure consists of three concentric circle of radii 3, 7 and 9 cm respectively. A dart is thrown and lands on the target. What is the probability that the dart will land on the shaded region?

Factorize x²-3x

In the equilateral triangle ABC ,the points D and E are on AC and AB respectively ,such that BD and CE intersect at 0,and the area of the quadrilateral ADoE is equal to area of triangle BoC find angleBOE? f

Which of the linear equation can represent the statement " the cost of an article is 20% more than that of another article?

The value of (√2+√2)(√2−√2) is _____.0

What should be added to x2−3x+8 to get 2x2+x−6?

Mohit borrowed a certain sum at 5% per annum compound interest and cleared this loan by paying Rs.12,600 at the end of the first year and Rs.17,640 at the end of the second year. Find the sum borrowed.

In the following Figure, AB and CD are two diameters of a circle that are perpendicular to each other and OD is the diameter of the smaller circle. If OA = 7 cm, find the area of the shaded region.

Question 6The midpoint of the sides of the triangle along with any of the vertices as the point make a parallelogram of area equal to:A) 12 ar(ABC)B) 13 ar(ABC)C) 14 ar(ABC)D) ar(ABC)

Question 7If cos9α=sinα and 9a&lt;90∘, then the value of tan5α is(A) 1√3(B) √3(C) 1(D) 0

Draw a rectangle PQRS in which vertices P, Q, R and S are (1,4), (-5,4), (-5,-3) and (1,-3) respectively.

Question 152 (iv)A rectangle MORE is shown below.Answer the following questions by giving an appropriate reason.Is ΔMYO≅ΔRXE?

In the given figure A, B and C are three points on a circle with centre O such that ∠BOC=30∘ and ∠AOB=60∘. If D is a point on the circle other than the arc ABC, find ∠ADC in degrees.45

An ice cream shop recorded the number of customers purchasing ice creams of different flavours. FlavourNumberofcustomerVanilla7Chocolate18Strawberry12Pista13 (i) Find the probability of ordering choclate; (ii) Find the probability of not ordering strawberry [3MARKS]

What's the equation of the line passing through the points (0,0), (1,1) and (2,2)?

Question 1 ABC is a triangle. Locate a point in the interior of Δ ABC which is equidistant from all the vertices of Δ ABC.

4a2+b2+4ab+8a+4b+4=? (a) (2a+b+2)2 (b) (2a−b+2)2 (c) (a+2b+2)2 (d) None of these

A point with both of its coordinates positive lies in which quadrant?

Rational number between root 3 and root 5.

Question 7If cos9α=sinα and 9a<90∘, then the value of tan5α is(A) 1√3(B) √3(C) 1(D) 0