24740 + Interview Questions in Mathematics

1.	A piece of gold (p=19.3 g cm-3) is suspected to be hollow from inside. It weighs 77.2 g in air and 71.2 g in water. The volume of the hollow portion in gold will be:
Answer» A piece of gold (p=19.3 g cm^-3) is suspected to be hollow from inside. It weighs 77.2 g in air and 71.2 g in water. The volume of the hollow portion in gold will be:

Discussion

2.	x-2 is a factor of the polynomial P(x). Then, P(2) =
Answer» x-2 is a factor of the polynomial P(x). Then, P(2) =

Discussion

3.	Use suitable identities to find the following products: (i) (x+4)(x+10) (ii) (x+8)(x−1) (iii) (y2+32)(y2−32)
Answer» Use suitable identities to find the following products: (i) $(x + 4) (x + 10)$ (ii) $(x + 8) (x - 1)$ (iii) ( $y^{2}$ + $\frac{3}{2}$ )( $y^{2}$ − $\frac{3}{2}$ )

Discussion

4.	Show that the angles of an equilateral triangle are 60° each.
Answer» Show that the angles of an equilateral triangle are 60° each.

Discussion

5.	Pavan built a conical flask which required 550m2 of canvas. If the radius of flask is 7m, then how much water he can fill into the flask(in litres).
Answer» Pavan built a conical flask which required 550 $m^{2}$ of canvas. If the radius of flask is 7m, then how much water he can fill into the flask(in litres).

Discussion

6.	Statement 1: When two lines intersect each other, only the angles forming linear pair are supplementary. Statement 2: When two lines intersect each other, angles forming linear pair are supplementary. Choose one or more correct option(s).
Answer» Statement $1$ : When two lines intersect each other, only the angles forming linear pair are supplementary. Statement $2$ : When two lines intersect each other, angles forming linear pair are supplementary. Choose one or more correct option(s).

6.

Statement 1: When two lines intersect each other, only the angles forming linear pair are supplementary. Statement 2: When two lines intersect each other, angles forming linear pair are supplementary. Choose one or more correct option(s).

Answer»

Statement $1$ : When two lines intersect each other, only the angles forming linear pair are supplementary.

Statement $2$ : When two lines intersect each other, angles forming linear pair are supplementary.

Choose one or more correct option(s).

Discussion

7.	Three iron cubes with edges 3 cm, 4 cm and 5 cm respectively, are melted and cast into a single cube. Find the edge of the bigger cube formed.
Answer» Three iron cubes with edges 3 cm, 4 cm and 5 cm respectively, are melted and cast into a single cube. Find the edge of the bigger cube formed.

Discussion

8.	What type of angle is it between the minute and the hour hand shown on the clock below?
Answer» What type of angle is it between the minute and the hour hand shown on the clock below?

8.

What type of angle is it between the minute and the hour hand shown on the clock below?

Answer»

What type of angle is it between the minute and the hour hand shown on the clock below?

Discussion

9.	A die rolled 150 times and it outcome are recorded below : Find probability of getting : 1. An odd number 2. Multiple of 4
Answer» A die rolled 150 times and it outcome are recorded below : Find probability of getting : 1. An odd number 2. Multiple of 4

Discussion

10.	Question 1 Find the cost of laying grass in a triangular field of sides 50m, 65m and 65m at the rate of Rs.7 per m2.
Answer» Question 1 Find the cost of laying grass in a triangular field of sides 50m, 65m and 65m at the rate of Rs.7 per $m^{2}$ .

Discussion

11.	What is the sum of all the exterior angles of a hexagon?
Answer» What is the sum of all the exterior angles of a hexagon?

Discussion

12.	Find the area of the following composite figure using π = 3.142. Round your answer to 2 decimal places.
Answer» Find the area of the following composite figure using π = 3.142. Round your answer to 2 decimal places.

12.

Find the area of the following composite figure using π = 3.142. Round your answer to 2 decimal places.

Answer»

Find the area of the following composite figure using π = 3.142. Round your answer to 2 decimal places.

Discussion

13.	D and E are the mid point of the sides AB and AC of a triangle ABC. Then find the ratio of the areas of the triangle ADE and ABC.
Answer» D and E are the mid point of the sides AB and AC of a triangle ABC. Then find the ratio of the areas of the triangle ADE and ABC.

Discussion

14.	Question 1 (i) Does the following figure lie on the same base and between the same parallels? If yes, write the common base and two parallels.
Answer» Question 1 (i) Does the following figure lie on the same base and between the same parallels? If yes, write the common base and two parallels.

Discussion

15.	Question 13 ABCD is a trapezium with AB \|\| DC. A line parallel to AC intersects AB at X and BC at Y. Prove that ar (ADX) = ar (ACY).
Answer» Question 13 ABCD is a trapezium with AB \|\| DC. A line parallel to AC intersects AB at X and BC at Y. Prove that ar (ADX) = ar (ACY).

Discussion

16.	A line is parallel to the x axis and 2 units below it so its equation must be
Answer» A line is parallel to the x axis and 2 units below it so its equation must be

Discussion

17.	The diameter of a circle whose area is equal to the sum of the areas of the two circles of radii 24 cm and 7 cm is
Answer» The diameter of a circle whose area is equal to the sum of the areas of the two circles of radii 24 cm and 7 cm is

Discussion

18.	A coin is tossed 100 times with the following frequency. Head:55, Tail:45 The probabilities of getting a head and a tail respectively are
Answer» A coin is tossed 100 times with the following frequency. Head:55, Tail:45 The probabilities of getting a head and a tail respectively are

Discussion

19.	If the volume of a right circular cone of height 9 cm is 48 π cm3,find the diameter of its base.
Answer» If the volume of a right circular cone of height 9 cm is 48 $π c m^{3}$ ,find the diameter of its base.

Discussion

20.	Area of a triangle is
Answer» Area of a triangle is

Discussion

21.	The curved surface area of a cylinder of height 10 m is 440 sq.m. Find the volume of the cylinder is __m3
Answer» The curved surface area of a cylinder of height 10 m is 440 sq.m. Find the volume of the cylinder is __ $m^{3}$

Discussion

22.	In a trapezium ABCD,AB\|\|DC,AB=a cm,and DC=b cm.If M and N are the midpoints of the nonparallel lines,AD and BC respectively then find the ratio of ar(DCNM) and ar(MNBA).
Answer» In a trapezium ABCD,AB\|\|DC,AB=a cm,and DC=b cm.If M and N are the midpoints of the nonparallel lines,AD and BC respectively then find the ratio of ar(DCNM) and ar(MNBA).

22.

In a trapezium ABCD,AB||DC,AB=a cm,and DC=b cm.If M and N are the midpoints of the nonparallel lines,AD and BC respectively then find the ratio of ar(DCNM) and ar(MNBA).

Answer»

In a trapezium ABCD,AB||DC,AB=a cm,and DC=b cm.If M and N are the midpoints of the nonparallel lines,AD and BC respectively then find the ratio of ar(DCNM) and ar(MNBA).

Discussion

23.	The radius of a wire is decreased to one third. If volume remains the same, the length will become (a) 3 times (b) 6 times (c) 9 times (d) 27 times
Answer» The radius of a wire is decreased to one third. If volume remains the same, the length will become (a) 3 times (b) 6 times (c) 9 times (d) 27 times

23.

The radius of a wire is decreased to one third. If volume remains the same, the length will become (a) 3 times (b) 6 times (c) 9 times (d) 27 times

Answer»

The radius of a wire is decreased to one third. If volume remains the same, the length will become

(a) 3 times (b) 6 times

(c) 9 times (d) 27 times

Discussion

24.	Rationalise the denominator √3_√2_1
Answer» Rationalise the denominator √3_√2_1

24.

Rationalise the denominator √3_√2_1

Answer»

Rationalise the denominator

√3_√2_1

Discussion

25.	Two coins are tossed simultaneously 600 times to get 2 heads: 234 times, 1 head: 206 times, 0 head: 160 times. If two coins are tossed at random, what is the probability of getting at least one head? (a) 103300 (b) 39100 (c) 1115 (d) 415
Answer» Two coins are tossed simultaneously 600 times to get 2 heads: 234 times, 1 head: 206 times, 0 head: 160 times. If two coins are tossed at random, what is the probability of getting at least one head? (a) $\frac{103}{300}$ (b) $\frac{39}{100}$ (c) $\frac{11}{15}$ (d) $\frac{4}{15}$

25.

Two coins are tossed simultaneously 600 times to get 2 heads: 234 times, 1 head: 206 times, 0 head: 160 times. If two coins are tossed at random, what is the probability of getting at least one head? (a) 103300 (b) 39100 (c) 1115 (d) 415

Answer»

Two coins are tossed simultaneously 600 times to get

2 heads: 234 times, 1 head: 206 times, 0 head: 160 times.

If two coins are tossed at random, what is the probability of getting at least one head?

(a) $\frac{103}{300}$

(b) $\frac{39}{100}$

(c) $\frac{11}{15}$

(d) $\frac{4}{15}$

Discussion

26.	1 cm3 of gold is drawn into a wire 0.1 mm in diameter.Find the length of the wire.
Answer» 1 $c m^{3}$ of gold is drawn into a wire 0.1 mm in diameter.Find the length of the wire.

Discussion

27.	A linear equation in two variables x and y is of the form ax + by + c = 0, where (a) a≠0,b≠0. (b) a≠0,b=0 (c) a=0,b≠0 (d) a = 0, c = 0
Answer» A linear equation in two variables x and y is of the form ax + by + c = 0, where (a) $a \neq 0, b \neq 0$ . (b) $a \neq 0, b = 0$ (c) $a = 0, b \neq 0$ (d) a = 0, c = 0

27.

A linear equation in two variables x and y is of the form ax + by + c = 0, where (a) a≠0,b≠0. (b) a≠0,b=0 (c) a=0,b≠0 (d) a = 0, c = 0

Answer»

A linear equation in two variables x and y is of the form ax + by + c = 0, where

(a) $a \neq 0, b \neq 0$ .

(b) $a \neq 0, b = 0$

(c) $a = 0, b \neq 0$

(d) a = 0, c = 0

Discussion

28.	10 cubic metres clay in uniformly spread on a land of area 10 acres. The rise in the level of the ground is
Answer» 10 cubic metres clay in uniformly spread on a land of area 10 acres. The rise in the level of the ground is

Discussion

29.	The l.s.a area of cylinder is 176cm^2 of its Base area is 38.5 cm^2 then its height is
Answer» The l.s.a area of cylinder is 176cm^2 of its Base area is 38.5 cm^2 then its height is

Discussion

30.	If x=5-2√6, find the value of √x+(1/√x)
Answer» If x=5-2√6, find the value of √x+(1/√x)

Discussion

31.	3x-5y=4 9y-2y =7 by substitution method
Answer» 3x-5y=4 9y-2y =7 by substitution method

Discussion

32.	How many words, with or without meaning, can be formed using all the letters of the word EQUATION at a time so that the vowels and consonants occur together?
Answer» How many words, with or without meaning, can be formed using all the letters of the word EQUATION at a time so that the vowels and consonants occur together?

Discussion

33.	How to Make ungrouped frequency is grouped frequencies
Answer» How to Make ungrouped frequency is grouped frequencies

Discussion

34.	An unknown polynomial yields a reminder 2 upon division by x-1, and remainder 1 upon division by x-2. What remainder is obtained if this polynomial is divided by {x-1}{x-2}.
Answer» An unknown polynomial yields a reminder 2 upon division by x-1, and remainder 1 upon division by x-2. What remainder is obtained if this polynomial is divided by {x-1}{x-2}.

Discussion

35.	x = 5 and y = 2 is a solution of the linear equation ___.
Answer» x = 5 and y = 2 is a solution of the linear equation ___.

Discussion

36.	A cuboidal vessel is 10m long and 8m wide. How high must it be made to hold 380 cubic metres of a liquid.
Answer» A cuboidal vessel is 10m long and 8m wide. How high must it be made to hold 380 cubic metres of a liquid.

Discussion

37.	In triangle ABC if AD is bisector of angle A show that AB>BD and AC > DC
Answer» In triangle ABC if AD is bisector of angle A show that AB>BD and AC > DC

Discussion

38.	One of the factors of x2−2x−15 is:
Answer» One of the factors of $x^{2} - 2 x - 15$ is:

Discussion

39.	In the given figure, PQ is the diameter of the circle whose centre is O. Given ∠ ROS = 42o, calculate ∠ RTS
Answer» In the given figure, PQ is the diameter of the circle whose centre is O. Given $∠$ ROS = $42^{o}$ , calculate $∠$ RTS

39.

In the given figure, PQ is the diameter of the circle whose centre is O. Given ∠ ROS = 42o, calculate ∠ RTS

Answer»

In the given figure, PQ is the diameter of the circle whose centre is O.

Given $∠$ ROS = $42^{o}$ , calculate $∠$ RTS

Discussion

40.	Find the value of a and b 5+✓3/7-4✓3=a+✓3b
Answer» Find the value of a and b 5+✓3/7-4✓3=a+✓3b

40.

Find the value of a and b 5+✓3/7-4✓3=a+✓3b

Answer»

Find the value of a and b

5+✓3/7-4✓3=a+✓3b

Discussion

41.	Which of the following is the standard form of the polynomial p(x)=2x−7x2+8+6x4 ?
Answer» Which of the following is the standard form of the polynomial $p (x) = 2 x - 7 x^{2} + 8 + 6 x^{4}$ ?

Discussion

42.	Kim and Sim were playing. Kim asks Sim to form numbers with the digits 4, 0, 7 and 1. She gives her three different cases as: i. Form four digit greatest numbers with no repetition of digits. ii. Form four digit greatest number where one digit can be repeated twice. iii. Form smallest four digit number where repetition of digits is allowed. So the numbers formed in the three cases will be
Answer» Kim and Sim were playing. Kim asks Sim to form numbers with the digits 4, 0, 7 and 1. She gives her three different cases as: i. Form four digit greatest numbers with no repetition of digits. ii. Form four digit greatest number where one digit can be repeated twice. iii. Form smallest four digit number where repetition of digits is allowed. So the numbers formed in the three cases will be

42.

Kim and Sim were playing. Kim asks Sim to form numbers with the digits 4, 0, 7 and 1. She gives her three different cases as: i. Form four digit greatest numbers with no repetition of digits. ii. Form four digit greatest number where one digit can be repeated twice. iii. Form smallest four digit number where repetition of digits is allowed. So the numbers formed in the three cases will be

Answer»

Kim and Sim were playing. Kim asks Sim to form numbers with the digits 4, 0, 7 and 1. She gives her three different cases as:

i. Form four digit greatest numbers with no repetition of digits.
ii. Form four digit greatest number where one digit can be repeated twice.
iii. Form smallest four digit number where repetition of digits is allowed. So the numbers formed in the three cases will be

Discussion

43.	Difference between the cost of a carpet(C) and a durries(D) is Rs.200. If the carpet the costlier one of the two, which of the following represents this information?
Answer» Difference between the cost of a carpet(C) and a durries(D) is Rs.200. If the carpet the costlier one of the two, which of the following represents this information?

Discussion

44.	Find the value of the trigonometric functions in cosec (−14100).
Answer» Find the value of the trigonometric functions in cosec $(- 1410^{0})$ .

Discussion

45.	Number having non terminating and repeating decimal expansion
Answer» Number having non terminating and repeating decimal expansion

Discussion

46.	Question 7 (ii) P and Q are respectively the mid-points of sides AB and BC of a triangle ABC and R is the mid-point of AP. show that: (ii)ar(RQC)=38ar(ABC)
Answer» Question 7 (ii) P and Q are respectively the mid-points of sides AB and BC of a triangle ABC and R is the mid-point of AP. show that: $(i i) a r (R Q C) = \frac{3}{8} a r (A B C)$

Discussion

47.	The value of √(log0.5 (0.5)4) is ___ .
Answer» The value of $\sqrt{(l o g_{0.5} (0.5)^{4})}$ is ___ .

Discussion

48.	if a box has a length 80cm ,breadth 40cm and height 20cm respectively.How many square sheets of paper of side 40cm would be required to cover it?
Answer» if a box has a length 80cm ,breadth 40cm and height 20cm respectively.How many square sheets of paper of side 40cm would be required to cover it?

Discussion

49.	The number of cubes of length 2 cm that would fit in a cuboid having dimensions 6 cm×8 cm×10 cm is ___.
Answer» The number of cubes of length 2 cm that would fit in a cuboid having dimensions $6 c m \times 8 c m \times 10 c m$ is ___.

Discussion

50.	Solve for x 22x+1 = 8
Answer» Solve for x $2^{2 x + 1} = 8$

50.

Solve for x 22x+1 = 8

Answer»

Solve for x

$2^{2 x + 1} = 8$

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

A piece of gold (p=19.3 g cm-3) is suspected to be hollow from inside. It weighs 77.2 g in air and 71.2 g in water. The volume of the hollow portion in gold will be:

x-2 is a factor of the polynomial P(x). Then, P(2) =

Use suitable identities to find the following products: (i) (x+4)(x+10) (ii) (x+8)(x−1) (iii) (y2+32)(y2−32)

Show that the angles of an equilateral triangle are 60° each.

Pavan built a conical flask which required 550m2 of canvas. If the radius of flask is 7m, then how much water he can fill into the flask(in litres).

Statement 1: When two lines intersect each other, only the angles forming linear pair are supplementary. Statement 2: When two lines intersect each other, angles forming linear pair are supplementary. Choose one or more correct option(s).

Three iron cubes with edges 3 cm, 4 cm and 5 cm respectively, are melted and cast into a single cube. Find the edge of the bigger cube formed.

What type of angle is it between the minute and the hour hand shown on the clock below?

A die rolled 150 times and it outcome are recorded below : Find probability of getting : 1. An odd number 2. Multiple of 4

Question 1 Find the cost of laying grass in a triangular field of sides 50m, 65m and 65m at the rate of Rs.7 per m2.

What is the sum of all the exterior angles of a hexagon?

Find the area of the following composite figure using π = 3.142. Round your answer to 2 decimal places.

D and E are the mid point of the sides AB and AC of a triangle ABC. Then find the ratio of the areas of the triangle ADE and ABC.

Question 1 (i) Does the following figure lie on the same base and between the same parallels? If yes, write the common base and two parallels.

Question 13 ABCD is a trapezium with AB || DC. A line parallel to AC intersects AB at X and BC at Y. Prove that ar (ADX) = ar (ACY).

A line is parallel to the x axis and 2 units below it so its equation must be

The diameter of a circle whose area is equal to the sum of the areas of the two circles of radii 24 cm and 7 cm is

A coin is tossed 100 times with the following frequency. Head:55, Tail:45 The probabilities of getting a head and a tail respectively are

If the volume of a right circular cone of height 9 cm is 48 π cm3,find the diameter of its base.

Area of a triangle is

The curved surface area of a cylinder of height 10 m is 440 sq.m. Find the volume of the cylinder is __m3

In a trapezium ABCD,AB||DC,AB=a cm,and DC=b cm.If M and N are the midpoints of the nonparallel lines,AD and BC respectively then find the ratio of ar(DCNM) and ar(MNBA).

The radius of a wire is decreased to one third. If volume remains the same, the length will become (a) 3 times (b) 6 times (c) 9 times (d) 27 times

Rationalise the denominator √3_√2_1

Two coins are tossed simultaneously 600 times to get 2 heads: 234 times, 1 head: 206 times, 0 head: 160 times. If two coins are tossed at random, what is the probability of getting at least one head? (a) 103300 (b) 39100 (c) 1115 (d) 415

1 cm3 of gold is drawn into a wire 0.1 mm in diameter.Find the length of the wire.

A linear equation in two variables x and y is of the form ax + by + c = 0, where (a) a≠0,b≠0. (b) a≠0,b=0 (c) a=0,b≠0 (d) a = 0, c = 0

10 cubic metres clay in uniformly spread on a land of area 10 acres. The rise in the level of the ground is

The l.s.a area of cylinder is 176cm^2 of its Base area is 38.5 cm^2 then its height is

If x=5-2√6, find the value of √x+(1/√x)

3x-5y=4 9y-2y =7 by substitution method

How many words, with or without meaning, can be formed using all the letters of the word EQUATION at a time so that the vowels and consonants occur together?

How to Make ungrouped frequency is grouped frequencies

An unknown polynomial yields a reminder 2 upon division by x-1, and remainder 1 upon division by x-2. What remainder is obtained if this polynomial is divided by {x-1}{x-2}.

x = 5 and y = 2 is a solution of the linear equation ___.

A cuboidal vessel is 10m long and 8m wide. How high must it be made to hold 380 cubic metres of a liquid.

In triangle ABC if AD is bisector of angle A show that AB&gt;BD and AC &gt; DC

One of the factors of x2−2x−15 is:

In the given figure, PQ is the diameter of the circle whose centre is O. Given ∠ ROS = 42o, calculate ∠ RTS

Find the value of a and b 5+✓3/7-4✓3=a+✓3b

Which of the following is the standard form of the polynomial p(x)=2x−7x2+8+6x4 ?

Difference between the cost of a carpet(C) and a durries(D) is Rs.200. If the carpet the costlier one of the two, which of the following represents this information?

Find the value of the trigonometric functions in cosec (−14100).

Number having non terminating and repeating decimal expansion

Question 7 (ii) P and Q are respectively the mid-points of sides AB and BC of a triangle ABC and R is the mid-point of AP. show that: (ii)ar(RQC)=38ar(ABC)

The value of √(log0.5 (0.5)4) is ___ .

if a box has a length 80cm ,breadth 40cm and height 20cm respectively.How many square sheets of paper of side 40cm would be required to cover it?

The number of cubes of length 2 cm that would fit in a cuboid having dimensions 6 cm×8 cm×10 cm is ___.

Solve for x 22x+1 = 8

In triangle ABC if AD is bisector of angle A show that AB>BD and AC > DC