24740 + Interview Questions in Mathematics Page 4 InterviewSolution

151.	Find the average of the following data: 71 , 67 , 79 , 57 __
Answer» Find the average of the following data: 71 , 67 , 79 , 57 __

Discussion

152.	In the given figure PQ \|\| RS ∠PAB=70∘ , ∠ACS=110∘ , then ∠BAC=
Answer» In the given figure PQ \|\| RS $∠ P A B = 70^{\circ}$ , $∠ A C S = 110^{\circ}$ , then $∠ B A C =$

152.

In the given figure PQ || RS ∠PAB=70∘ , ∠ACS=110∘ , then ∠BAC=

Answer»

In the given figure PQ || RS $∠ P A B = 70^{\circ}$ , $∠ A C S = 110^{\circ}$ , then $∠ B A C =$

Discussion

153.	Find the value of xo.
Answer» Find the value of $x^{o}$ .

Discussion

154.	Find the area of a square whose length of each side is 3 m.
Answer» Find the area of a square whose length of each side is $3 m$ .

Discussion

155.	The perimeter of the base of a right circular cone is 24 pi, and its vertical height is 5 cm. Find volume
Answer» The perimeter of the base of a right circular cone is 24 pi, and its vertical height is 5 cm. Find volume

Discussion

156.	Prove that 35 is irrational, given that 5 is irrational.
Answer» Prove that $\frac{3}{\sqrt{5}}$ is irrational, given that $\sqrt{5}$ is irrational.

Discussion

157.	A juice seller fills juice into cylindrical glasses from a big cylindrical container of height 35.2 cm and radius 10 cm. He charges ₹10/- for a glass of height 10 cm and radius 4 cm. The amount he earns by selling the juice is Rs ____.(Use π=227)220
Answer» A juice seller fills juice into cylindrical glasses from a big cylindrical container of height 35.2 cm and radius 10 cm. He charges ₹10/- for a glass of height 10 cm and radius 4 cm. The amount he earns by selling the juice is Rs ____. $(U s e π = \frac{22}{7})$ 220

Discussion

158.	In the given figure, O is the centre of the circle, AB and CD are two chords such that OM > ON. Then which of the following is incorrect?
Answer» In the given figure, O is the centre of the circle, AB and CD are two chords such that OM > ON. Then which of the following is incorrect?

Discussion

159.	In a circle with centre O, AB and CD are two diameters perpendicular to each other. The length of chord AC is(a) 2AB(b) 2(c) 12AB(d) 12AB
Answer» In a circle with centre O, AB and CD are two diameters perpendicular to each other. The length of chord AC is (a) 2AB (b) $\sqrt{2}$ (c) $\frac{1}{2} A B$ (d) $\frac{1}{\sqrt{2}} A B$

Discussion

160.	Which is greater 2√5 or 5√2
Answer» Which is greater 2 $\sqrt{5}$ or 5 $\sqrt{2}$

Discussion

161.	If x° is the measure of an angle which is equal to its complement and y° is the measure of an angle which is equal to its supplement, then x°y° is equal to ___________.
Answer» If x° is the measure of an angle which is equal to its complement and y° is the measure of an angle which is equal to its supplement, then $\frac{x °}{y °}$ is equal to ___________.

Discussion

162.	(a+b)sin C/2=c cosA-B/2 prove this in any triangle ABC
Answer» (a+b)sin C/2=c cosA-B/2 prove this in any triangle ABC

Discussion

163.	In the figure given, AB, CD, and EF are parallel lines. B = 9 cm, DC = y cm, EF = 4.5 cm, BC = x cm, and CE = 3 cm. Find the values of 'x' and 'y'.
Answer» In the figure given, AB, CD, and EF are parallel lines. B = 9 cm, DC = y cm, EF = 4.5 cm, BC = x cm, and CE = 3 cm. Find the values of 'x' and 'y'.

163.

In the figure given, AB, CD, and EF are parallel lines. B = 9 cm, DC = y cm, EF = 4.5 cm, BC = x cm, and CE = 3 cm. Find the values of 'x' and 'y'.

Answer»

In the figure given, AB, CD, and EF are parallel lines.

B = 9 cm, DC = y cm, EF = 4.5 cm, BC = x cm, and CE = 3 cm. Find the values of 'x' and 'y'.

Discussion

164.	write the converse and contrapositive of the following statement:"if x is a prime number, then x is odd".
Answer» write the converse and contrapositive of the following statement:"if x is a prime number, then x is odd".

Discussion

165.	The value of 1.999. in the form of mn, where m and n are integers and n ≠ 0, is _______.
Answer» The value of 1.999. in the form of $\frac{m}{n}$ , where m and n are integers and n ≠ 0, is _______.

Discussion

166.	In the figure, AB and CD are parallel. Prove that AP × PC = BP × PD
Answer» In the figure, AB and CD are parallel. Prove that AP × PC = BP × PD

166.

In the figure, AB and CD are parallel. Prove that AP × PC = BP × PD

Answer»

In the figure, AB and CD are parallel.

Prove that AP × PC = BP × PD

Discussion

167.	Find the value of(0.424242......)-(0.353535......)
Answer» Find the value of(0.424242......)-(0.353535......)

Discussion

168.	Rationalising √2+√3√3−√2 will give __________.
Answer» Rationalising $\frac{\sqrt{2} + \sqrt{3}}{\sqrt{3} - \sqrt{2}}$ will give __________.

Discussion

169.	Solve the following systems of inequalities graphically: 5x+4y≤20,x≥1,y≥2
Answer» Solve the following systems of inequalities graphically: $5 x + 4 y \leq 20, x \geq 1, y \geq 2$

169.

Solve the following systems of inequalities graphically: 5x+4y≤20,x≥1,y≥2

Answer»

Solve the following systems of inequalities graphically:

$5 x + 4 y \leq 20, x \geq 1, y \geq 2$

Discussion

170.	Ifset A=(a,b,c,d) and set B=(a,e,i), then the value of n(A△ B) is
Answer» Ifset A=(a,b,c,d) and set B=(a,e,i), then the value of n(A△ B) is

Discussion

171.	(x square - 1 + 5x) factorize
Answer» (x square - 1 + 5x) factorize

Discussion

172.	Represent 0.45 as a rational number.
Answer» Represent 0.45 as a rational number.

Discussion

173.	Question 44Total surface area of a cylinder of radius h and height r is ___
Answer» Question 44 Total surface area of a cylinder of radius h and height r is ___

173.

Question 44Total surface area of a cylinder of radius h and height r is ___

Answer»

Question 44

Total surface area of a cylinder of radius h and height r is ___

Discussion

174.	The figure shows a parallelogram PQRS, in which, A is the mid point of PQ and B is the mid point of RS.S1 : SX = XYS2 : XY = QY
Answer» The figure shows a parallelogram PQRS, in which, A is the mid point of PQ and B is the mid point of RS. S1 : SX = XY S2 : XY = QY

174.

The figure shows a parallelogram PQRS, in which, A is the mid point of PQ and B is the mid point of RS.S1 : SX = XYS2 : XY = QY

Answer»

The figure shows a parallelogram PQRS, in which, A is the mid point of PQ and B is the mid point of RS.

S1 : SX = XY

S2 : XY = QY

Discussion

175.	The abscissa of a point is positive in the(a) First and Second quadrant(b) Second and Third quadrant(c) Third and Fourth quadrant(d) Fourth and First quadrant
Answer» The abscissa of a point is positive in the (a) First and Second quadrant (b) Second and Third quadrant (c) Third and Fourth quadrant (d) Fourth and First quadrant

Discussion

176.	A student was given the following details while constructing a triangle ABC:The length of the base of the triangle BC, one of the base angles say ∠ B and the sum of the other two sides of the triangle (AB+AC)He went about the construction of this triangle by first drawing the base of the triangle BC. He then drew an angle at the point B equal to the given angle on a ray that he drew. After completing these steps, he got stuck and doesn’t know what to do next. Which of the following steps will he take up next?
Answer» A student was given the following details while constructing a triangle ABC: The length of the base of the triangle BC, one of the base angles say $∠$ B and the sum of the other two sides of the triangle (AB+AC) He went about the construction of this triangle by first drawing the base of the triangle BC. He then drew an angle at the point B equal to the given angle on a ray that he drew. After completing these steps, he got stuck and doesn’t know what to do next. Which of the following steps will he take up next?

176.

A student was given the following details while constructing a triangle ABC:The length of the base of the triangle BC, one of the base angles say ∠ B and the sum of the other two sides of the triangle (AB+AC)He went about the construction of this triangle by first drawing the base of the triangle BC. He then drew an angle at the point B equal to the given angle on a ray that he drew. After completing these steps, he got stuck and doesn’t know what to do next. Which of the following steps will he take up next?

Answer»

A student was given the following details while constructing a triangle ABC:

The length of the base of the triangle BC, one of the base angles say $∠$ B and the sum of the other two sides of the triangle (AB+AC)

He went about the construction of this triangle by first drawing the base of the triangle BC. He then drew an angle at the point B equal to the given angle on a ray that he drew. After completing these steps, he got stuck and doesn’t know what to do next. Which of the following steps will he take up next?

Discussion

177.	Prove that the sum of the squares of the diagonals of parallelogram is equal to the sum of the squares of its sides.
Answer» Prove that the sum of the squares of the diagonals of parallelogram is equal to the sum of the squares of its sides.

Discussion

178.	Question 89 A flower garden is 22.50 m long. Sheela wants to make a border along one side using bricks that are 0.25 m long. How many bricks will be needed?
Answer» Question 89 A flower garden is 22.50 m long. Sheela wants to make a border along one side using bricks that are 0.25 m long. How many bricks will be needed?

178.

Question 89 A flower garden is 22.50 m long. Sheela wants to make a border along one side using bricks that are 0.25 m long. How many bricks will be needed?

Answer»

Question 89

A flower garden is 22.50 m long. Sheela wants to make a border along one side using bricks that are 0.25 m long. How many bricks will be needed?

Discussion

179.	The value of tan75^°
Answer» The value of tan75^°

Discussion

180.	How to find zeros of polynomial 2x³-9x²+x+12
Answer» How to find zeros of polynomial 2x³-9x²+x+12

Discussion

181.	Find the zero of the polynomial, p(x)=5x−15.3
Answer» Find the zero of the polynomial, $p (x) = 5 x - 15.$ 3

Discussion

182.	Question 6Write True or False and give reasons for your answer:A ΔABC can be constructed in which ∠B=60∘, ∠C=45∘ and AB + BC + CA = 12cm.
Answer» Question 6 Write True or False and give reasons for your answer: A $Δ A B C$ can be constructed in which $∠ B = 60^{\circ}, ∠ C = 45^{\circ}$ and AB + BC + CA = 12cm.

Discussion

183.	If a0 and c
Answer» If a<0, b>0 and c<0, then the point (a,b^2c) lies in which quadrant ?

Discussion

184.	Find the dis†an ce between the points (am_1^2,2am_1) and (am_2^2,2am_2)
Answer» Find the dis†an ce between the points (am_1^2,2am_1) and (am_2^2,2am_2)

Discussion

185.	In triangle ABC,a=4,b=3 and ∠A=600. Then c is the root of the equation:
Answer» In triangle $A B C, a = 4, b = 3$ and $∠ A = 60^{0} .$ Then $c$ is the root of the equation:

Discussion

186.	Find the value of a for which (x - 4) is a factor of(2x3−3x2−18x+a).
Answer» Find the value of a for which (x - 4) is a factor of $(2 x^{3} - 3 x^{2} - 18 x + a)$ .

Discussion

187.	Have you seen long highway roads that never meet and are the same distance apart everywhere? What would such roads be called, in mathematical terms...................
Answer» Have you seen long highway roads that never meet and are the same distance apart everywhere? What would such roads be called, in mathematical terms...................

Discussion

188.	In which quadrant or on which axis will (x, y) lie if x = 0 and y > 0?
Answer» In which quadrant or on which axis will (x, y) lie if x = 0 and y > 0?

Discussion

189.	Plot the points P (1, 0), Q (4, 0) and S (1, 3). Find the coordinate of the point R such that PQRS is a square.
Answer» Plot the points P (1, 0), Q (4, 0) and S (1, 3). Find the coordinate of the point R such that PQRS is a square.

Discussion

190.	If a,b and c are the sides of triangle ABC and I is the incentre of the circle inscribed in the triangle ABC and AI cuts BC at P, then AI=? (A)[(b+c)/(a+b+c)]×AP (B)[(c+a)/(a+b+c)]×AP (C)[(a+b)/(a+b+c)]×AP (D)[a/(a+b+c)]×AP
Answer» If a,b and c are the sides of triangle ABC and I is the incentre of the circle inscribed in the triangle ABC and AI cuts BC at P, then AI=? (A)[(b+c)/(a+b+c)]×AP (B)[(c+a)/(a+b+c)]×AP (C)[(a+b)/(a+b+c)]×AP (D)[a/(a+b+c)]×AP

Discussion

191.	The distance of the point (2, 3) from x-axis is ________.
Answer» The distance of the point (2, 3) from x-axis is ________.

Discussion

192.	Prove that a diameter AB of a circle bisects all those chords which are parallel to the tangent at that point A .
Answer» Prove that a diameter AB of a circle bisects all those chords which are parallel to the tangent at that point A .

Discussion

193.	In the given figure, if AB\|\|CD,∠APQ=50∘ and ∠PRD=127∘, the value of y is
Answer» In the given figure, if $A B \| \| C D, ∠ A P Q = 50^{\circ} a n d ∠ P R D = 127^{\circ}$ , the value of y is

Discussion

194.	Each side of square ABCD has length 1 unit. P and Q are points on AB and DA respectively such that area of triangle APQ is 2 units. Find angle PCQ.
Answer» Each side of square ABCD has length 1 unit. P and Q are points on AB and DA respectively such that area of triangle APQ is 2 units. Find angle PCQ.

Discussion

195.	Ted went to a nursery where grass beds were sold. In order to put them on his lawn, he bought 28 rectangular grass beds measuring 10 cm by 15 cm. When he went back and arranged the grass beds on his lawn, 4 beds were left unused. Find the area of the lawn (in square cm).
Answer» Ted went to a nursery where grass beds were sold. In order to put them on his lawn, he bought 28 rectangular grass beds measuring 10 cm by 15 cm. When he went back and arranged the grass beds on his lawn, 4 beds were left unused. Find the area of the lawn (in square cm).

Discussion

196.	Question 5 (i) Inthe given figure, PQRS and ABRS are parallelograms and X is any point on side BR. Show that: (i) ar (PQRS) = ar (ABRS)
Answer» Question 5 (i) Inthe given figure, PQRS and ABRS are parallelograms and X is any point on side BR. Show that: (i) ar (PQRS) = ar (ABRS)

Discussion

197.	Question 91 (v)Factorise the following:y2+4y−21
Answer» Question 91 (v) Factorise the following: $y^{2} + 4 y - 21$

Discussion

198.	Every point on a number line represents (a) a rational number (b) a natural number (c) an irrational number (d) a unique real number
Answer» Every point on a number line represents (a) a rational number (b) a natural number (c) an irrational number (d) a unique real number

198.

Every point on a number line represents (a) a rational number (b) a natural number (c) an irrational number (d) a unique real number

Answer»

Every point on a number line represents

(a) a rational number (b) a natural number

(c) an irrational number (d) a unique real number

Discussion

199.	Rakesh borrowed ₹60,000 at 12% per annum compound interest. If he pays 50% of the sum borrowed at the end of the first year and 50% of the remaining loan at the end of the second year, then find the amount of loan outstanding at the beginning of the third year.
Answer» Rakesh borrowed ₹60,000 at 12% per annum compound interest. If he pays 50% of the sum borrowed at the end of the first year and 50% of the remaining loan at the end of the second year, then find the amount of loan outstanding at the beginning of the third year.

Discussion

200.	Factorise: (3a+1/4b)3
Answer» Factorise: (3a+1/4b)³

200.

Factorise: (3a+1/4b)3

Answer»

Factorise:

(3a+1/4b)³

Discussion

Explore topic-wise InterviewSolutions in .

Find the average of the following data: 71 , 67 , 79 , 57 __

In the given figure PQ || RS ∠PAB=70∘ , ∠ACS=110∘ , then ∠BAC=

Find the value of xo.

Find the area of a square whose length of each side is 3 m.

The perimeter of the base of a right circular cone is 24 pi, and its vertical height is 5 cm. Find volume

Prove that 35 is irrational, given that 5 is irrational.

A juice seller fills juice into cylindrical glasses from a big cylindrical container of height 35.2 cm and radius 10 cm. He charges ₹10/- for a glass of height 10 cm and radius 4 cm. The amount he earns by selling the juice is Rs ____.(Use π=227)220

In the given figure, O is the centre of the circle, AB and CD are two chords such that OM &gt; ON. Then which of the following is incorrect?

In a circle with centre O, AB and CD are two diameters perpendicular to each other. The length of chord AC is(a) 2AB(b) 2(c) 12AB(d) 12AB

Which is greater 2√5 or 5√2

If x° is the measure of an angle which is equal to its complement and y° is the measure of an angle which is equal to its supplement, then x°y° is equal to ___________.

(a+b)sin C/2=c cosA-B/2 prove this in any triangle ABC

In the figure given, AB, CD, and EF are parallel lines. B = 9 cm, DC = y cm, EF = 4.5 cm, BC = x cm, and CE = 3 cm. Find the values of 'x' and 'y'.

write the converse and contrapositive of the following statement:"if x is a prime number, then x is odd".

The value of 1.999. in the form of mn, where m and n are integers and n ≠ 0, is _______.

In the figure, AB and CD are parallel. Prove that AP × PC = BP × PD

Find the value of(0.424242......)-(0.353535......)

Rationalising √2+√3√3−√2 will give __________.

Solve the following systems of inequalities graphically: 5x+4y≤20,x≥1,y≥2

Ifset A=(a,b,c,d) and set B=(a,e,i), then the value of n(A△ B) is

(x square - 1 + 5x) factorize

Represent 0.45 as a rational number.

Question 44Total surface area of a cylinder of radius h and height r is ___

The figure shows a parallelogram PQRS, in which, A is the mid point of PQ and B is the mid point of RS.S1 : SX = XYS2 : XY = QY

The abscissa of a point is positive in the(a) First and Second quadrant(b) Second and Third quadrant(c) Third and Fourth quadrant(d) Fourth and First quadrant

Prove that the sum of the squares of the diagonals of parallelogram is equal to the sum of the squares of its sides.

Question 89 A flower garden is 22.50 m long. Sheela wants to make a border along one side using bricks that are 0.25 m long. How many bricks will be needed?

The value of tan75^°

How to find zeros of polynomial 2x³-9x²+x+12

Find the zero of the polynomial, p(x)=5x−15.3

Question 6Write True or False and give reasons for your answer:A ΔABC can be constructed in which ∠B=60∘, ∠C=45∘ and AB + BC + CA = 12cm.

If a0 and c

Find the dis†an ce between the points (am_1^2,2am_1) and (am_2^2,2am_2)

In triangle ABC,a=4,b=3 and ∠A=600. Then c is the root of the equation:

Find the value of a for which (x - 4) is a factor of(2x3−3x2−18x+a).

Have you seen long highway roads that never meet and are the same distance apart everywhere? What would such roads be called, in mathematical terms...................

In which quadrant or on which axis will (x, y) lie if x = 0 and y > 0?

Plot the points P (1, 0), Q (4, 0) and S (1, 3). Find the coordinate of the point R such that PQRS is a square.

If a,b and c are the sides of triangle ABC and I is the incentre of the circle inscribed in the triangle ABC and AI cuts BC at P, then AI=? (A)[(b+c)/(a+b+c)]×AP (B)[(c+a)/(a+b+c)]×AP (C)[(a+b)/(a+b+c)]×AP (D)[a/(a+b+c)]×AP ​​​​​​

The distance of the point (2, 3) from x-axis is ________.

Prove that a diameter AB of a circle bisects all those chords which are parallel to the tangent at that point A .

In the given figure, if AB||CD,∠APQ=50∘ and ∠PRD=127∘, the value of y is

Each side of square ABCD has length 1 unit. P and Q are points on AB and DA respectively such that area of triangle APQ is 2 units. Find angle PCQ.

Ted went to a nursery where grass beds were sold. In order to put them on his lawn, he bought 28 rectangular grass beds measuring 10 cm by 15 cm. When he went back and arranged the grass beds on his lawn, 4 beds were left unused. Find the area of the lawn (in square cm).

Question 5 (i) Inthe given figure, PQRS and ABRS are parallelograms and X is any point on side BR. Show that: (i) ar (PQRS) = ar (ABRS)

Question 91 (v)Factorise the following:y2+4y−21

Every point on a number line represents (a) a rational number (b) a natural number (c) an irrational number (d) a unique real number

Rakesh borrowed ₹60,000 at 12% per annum compound interest. If he pays 50% of the sum borrowed at the end of the first year and 50% of the remaining loan at the end of the second year, then find the amount of loan outstanding at the beginning of the third year.

Factorise: (3a+1/4b)3

In the given figure, O is the centre of the circle, AB and CD are two chords such that OM > ON. Then which of the following is incorrect?

If a,b and c are the sides of triangle ABC and I is the incentre of the circle inscribed in the triangle ABC and AI cuts BC at P, then AI=? (A)[(b+c)/(a+b+c)]×AP (B)[(c+a)/(a+b+c)]×AP (C)[(a+b)/(a+b+c)]×AP (D)[a/(a+b+c)]×AP