19743 + Interview Questions in Mathematics Page 82 InterviewSolution

4051.	Sort the steps for construction of a triangle ABC of three sides of lengths 3 cm, 5 cm and 6 cm.
Answer» Sort the steps for construction of a triangle ABC of three sides of lengths 3 cm, 5 cm and 6 cm.

Discussion

4052.	The length of a rectangle is 3x cm and its breadth is 5y cm. What is the area of the rectangle?
Answer» The length of a rectangle is 3x cm and its breadth is 5y cm. What is the area of the rectangle?

Discussion

4053.

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 Opinion Number of students Like Dislike 135 65 Find the probability that a student chosen at random(i) likes statistics,(ii) does not like it.

Answer» 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

Opinion	Number of students
Like Dislike	135 65

Find the probability that a student chosen at random

(i) likes statistics,

(ii) does not like it.

Discussion

4054.	Find the value of x, if 3x + 2 = 8.
Answer» Find the value of x, if 3x + 2 = 8.

Discussion

4055.	The marked price of a shirt is ₹ 1999 and it is sold at 20% discount.Find the selling price of the shirt ?
Answer» The marked price of a shirt is ₹ 1999 and it is sold at 20% discount.Find the selling price of the shirt ?

Discussion

4056.	If x is 30% more than y; find:(i) xy(ii) y+xx(iii) yy−x
Answer» If x is 30% more than y; find: (i) $\frac{x}{y}$ (ii) $\frac{y + x}{x}$ (iii) $\frac{y}{y - x}$

Discussion

4057.	Mention the base and the exponent(1) 103(2) 24(3) 45(4) 50(5) 72(6) (−6)3(7) (8) (0.5)3(9) (10) (32)2
Answer» Mention the base and the exponent (1) 10³ (2) 2⁴ (3) 4⁵ (4) 5⁰ (5) 7² (6) (−6)³ (7) (8) (0.5)³ (9) (10) (3²)²

4057.

Mention the base and the exponent(1) 103(2) 24(3) 45(4) 50(5) 72(6) (−6)3(7) (8) (0.5)3(9) (10) (32)2

Answer»

Mention the base and the exponent

(1) 10³

(2) 2⁴

(3) 4⁵

(4) 5⁰

(5) 7²

(6) (−6)³

(7)

(8) (0.5)³

(9)

(10) (3²)²

Discussion

4058.	Road distance from Jaipur to Ajmer is 135 km. Howlong can afford to stop for lunch if he can drive at an average speed of 72 km/h on the highway, if he has to reach in 2.5hr?
Answer» Road distance from Jaipur to Ajmer is 135 km. Howlong can afford to stop for lunch if he can drive at an average speed of 72 km/h on the highway, if he has to reach in 2.5hr?

Discussion

4059.	What is the area of a rectangle with length (x+2)cm and breadth (x+6)cm?
Answer» What is the area of a rectangle with length $(x + 2) c m$ and breadth $(x + 6) c m$ ?

Discussion

4060.	Why is the significant number of 2500 not infinite?
Answer» Why is the significant number of 2500 not infinite?

Discussion

4061.	Find which of the following sets are disjoint sets.
Answer» Find which of the following sets are disjoint sets.

Discussion

4062.	Solve the following question: (i) Opposite angles of a quadrilateral ABCD are equal. If AB = 4cm, determine CD.(ii) Diagonals AC and BD of a parallelogram ABCD intersect each other at O. If OA = 3cm and OD = 2cm, determine the lengths of AC and BD.
Answer» Solve the following question: (i) Opposite angles of a quadrilateral ABCD are equal. If AB = 4cm, determine CD. (ii) Diagonals AC and BD of a parallelogram ABCD intersect each other at O. If OA = 3cm and OD = 2cm, determine the lengths of AC and BD.

Discussion

4063.	In the given figure, if BP \|\| CQ and AC = BC, then the measure of x is(a) 20°(b) 25°(c) 30°(d) 35°
Answer» In the given figure, if BP \|\| CQ and AC = BC, then the measure of x is (a) 20° (b) 25° (c) 30° (d) 35°

Discussion

4064.	Factorise: x4−(x−4)4
Answer» $Factorise: x^{4} - (x - 4)^{4}$

Discussion

4065.	In the given figure x, y and z are the internal angles of ∆ABD. Line ED \|\| AB and side AD is extrapolated to point P and the value of ∠EDP and ∠EDB are n and m respectively. Then, the values of n and m are ______ and _______ respectively.
Answer» In the given figure x, y and z are the internal angles of ∆ABD. Line ED \|\| AB and side AD is extrapolated to point P and the value of $∠$ EDP and $∠$ EDB are n and m respectively. Then, the values of n and m are ______ and _______ respectively.

4065.

In the given figure x, y and z are the internal angles of ∆ABD. Line ED || AB and side AD is extrapolated to point P and the value of ∠EDP and ∠EDB are n and m respectively. Then, the values of n and m are and _ respectively.

Answer»

In the given figure x, y and z are the internal angles of ∆ABD. Line ED || AB and side AD is extrapolated to point P and the value of $∠$ EDP and $∠$ EDB are n and m respectively. Then, the values of n and m are ______ and _______ respectively.

Discussion

4066.	The mean of 10 observations is 15. If one observation 15 is added, then the new mean is(a) 16 (b) 11 (c) 10 (d) 15
Answer» The mean of 10 observations is 15. If one observation 15 is added, then the new mean is (a) 16 (b) 11 (c) 10 (d) 15

Discussion

4067.	The decimal form of 7 l and 555 ml is _____.
Answer» The decimal form of $7 l$ and $555 m l$ is _____.

Discussion

4068.	Juhi sold a washing machine for ₹13,500 at a loss of 20%. Find the cost price of the washing machine. At what price she must sell to gain 20%?
Answer» Juhi sold a washing machine for ₹13,500 at a loss of $20 %$ . Find the cost price of the washing machine. At what price she must sell to gain 20 $%$ ?

Discussion

4069.	Kushagra wanted to attend his friend's wedding, but he did not have a new shirt to wear. So he gave 47.7 metres of cloth to the tailor to make a shirt. If 1 shirt can be made using 5.3 metres of cloth. How many shirts can be made from 47.7 metres of cloth?
Answer» Kushagra wanted to attend his friend's wedding, but he did not have a new shirt to wear. So he gave 47.7 metres of cloth to the tailor to make a shirt. If 1 shirt can be made using 5.3 metres of cloth. How many shirts can be made from 47.7 metres of cloth?

Discussion

4070.	A rod of a certain length is divided into 4 pieces of lengths 2.03 m, 6.89 m, 1.7 m and 3.83 m. If the total length is divided by the length of the smallest part what would be the result?
Answer» A rod of a certain length is divided into 4 pieces of lengths 2.03 m, 6.89 m, 1.7 m and 3.83 m. If the total length is divided by the length of the smallest part what would be the result?

Discussion

4071.	A child has a die whose six faces show the letters as given below:The die is thrown once. (i) What is the probability of getting A?(i) What is the probability of getting B?
Answer» A child has a die whose six faces show the letters as given below: The die is thrown once. (i) What is the probability of getting A? (i) What is the probability of getting B?

Discussion

4072.	ऐसाक्योंहोताथाकिमहात्मागांधीकोदुनियाभरसेपत्र'महात्मागांधी-इंडिया'पतालिखकरआतेथे?
Answer» ऐसा क्यों होता था कि महात्मा गांधी को दुनिया भर से पत्र 'महात्मा गांधी-इंडिया' पता लिखकर आते थे?

Discussion

4073.	14. Sides AB and AC and median AD of atriangle ABC are respectivelyproportional to sides PQ and PR andmedian PM of another triangle PQR.Show that triangle ABC ∼ triangle PQR.
Answer» 14. Sides AB and AC and median AD of atriangle ABC are respectivelyproportional to sides PQ and PR andmedian PM of another triangle PQR.Show that triangle ABC ∼ triangle PQR.

Discussion

4074.	In the given figure, AOB is a straight line. If ∠AOC + ∠BOD = 85°, then ∠COD =(a) 85°(b) 90°(c) 95°(d) 100°
Answer» In the given figure, AOB is a straight line. If ∠AOC + ∠BOD = 85°, then ∠COD = (a) 85° (b) 90° (c) 95° (d) 100°

Discussion

4075.	What is the ratio of the boys to the girls enrolled in the HR discipline?
Answer» What is the ratio of the boys to the girls enrolled in the HR discipline?

Discussion

4076.	Solve (47−712)+12 .
Answer» Solve $(47 - 7 \frac{1}{2}) + \frac{1}{2}$ .

Discussion

4077.	Simplify xaxb×xbxa×xaxb.
Answer» Simplify $\frac{x^{a}}{x^{b}} \times \frac{x^{b}}{x^{a}} \times \frac{x^{a}}{x^{b}}$ .

Discussion

4078.	The measure of one of the adjacent angles is twice the other. If both the angles combined form a straight line, find the measure of each angle.
Answer» The measure of one of the adjacent angles is twice the other. If both the angles combined form a straight line, find the measure of each angle.

Discussion

4079.	If the selling price of a flower vase is 56 of its cost price, find the loss per cent.
Answer» If the selling price of a flower vase is $\frac{5}{6}$ of its cost price, find the loss per cent.

Discussion

4080.	Write an expression for:"m decreased by 5 and then increased by n"
Answer» Write an expression for: " $m$ decreased by $5$ and then increased by $n$ "

Discussion

4081.	In general, ratio A: B is said to be in simplest form, if the H.C F. of A and B is :
Answer» In general, ratio A: B is said to be in simplest form, if the H.C F. of A and B is :

Discussion

4082.	Question 90 (ii)Use isometric dot paper to draw the figure.A rectangular prism with length 4 units, width 2 units and height 2 units.
Answer» Question 90 (ii) Use isometric dot paper to draw the figure. A rectangular prism with length 4 units, width 2 units and height 2 units.

Discussion

4083.

Find the mode of the following data. Marks 35 36 37 38 39 40 No of students 09 07 09 04 04 02

Answer» Find the mode of the following data.

Marks	35	36	37	38	39	40
No of students	09	07	09	04	04	02

Discussion

4084.	Question 150For the following repeater machines, how many times the base machine is applied and how much the total stretch is ?
Answer» Question 150 For the following repeater machines, how many times the base machine is applied and how much the total stretch is ?

4084.

Question 150For the following repeater machines, how many times the base machine is applied and how much the total stretch is ?

Answer»

Question 150

For the following repeater machines, how many times the base machine is applied and how much the total stretch is ?

Discussion

4085.	The side view of a solid is a rectangle and it's top view is a triangle. Which of the following could be the described solid shape?
Answer» The side view of a solid is a rectangle and it's top view is a triangle. Which of the following could be the described solid shape?

Discussion

4086.	X and Y are partners with capitals of ₹ 50,000 each. They admit Z as a partner for 1/4th share in the profits of the firm. Z brings in ₹ 80,000 as his share of capital. The Profit and Loss Account showed a credit balance of ₹ 40,000 as on date of admission of Z.Give necessary journal entries to record the goodwill.
Answer» X and Y are partners with capitals of ₹ 50,000 each. They admit Z as a partner for 1/4th share in the profits of the firm. Z brings in ₹ 80,000 as his share of capital. The Profit and Loss Account showed a credit balance of ₹ 40,000 as on date of admission of Z. Give necessary journal entries to record the goodwill.

Discussion

4087.	Question 11 The top of a broken tree touches the ground at a distance of 12 m from its base. If the tree is broken at a height of 5 m from the ground, then the actual height of the tree is a) 25 m b) 13 m c) 18 m d) 17 m
Answer» Question 11 The top of a broken tree touches the ground at a distance of 12 m from its base. If the tree is broken at a height of 5 m from the ground, then the actual height of the tree is a) 25 m b) 13 m c) 18 m d) 17 m

4087.

Question 11 The top of a broken tree touches the ground at a distance of 12 m from its base. If the tree is broken at a height of 5 m from the ground, then the actual height of the tree is a) 25 m b) 13 m c) 18 m d) 17 m

Answer»

Question 11

The top of a broken tree touches the ground at a distance of 12 m from its base. If the tree is broken at a height of 5 m from the ground, then the actual height of the tree is
a) 25 m
b) 13 m
c) 18 m
d) 17 m

Discussion

4088.	If number 4 and 9 have frequencies x and (x-1) respectively . if their arithmetic mean is 6 , then x is equal to what?
Answer» If number 4 and 9 have frequencies x and (x-1) respectively . if their arithmetic mean is 6 , then x is equal to what?

Discussion

4089.	(a) Arrange the plants in such a way that one plant acts as the dividing point and there are equal number of plants on either side of this dividing point. The heights of the plants are: 5, 4, 132, 173, 142, 111, 123 (mm) (b) You have to select the players for your football team. Which of the following given datasets will help you to take the decision? Dataset 1. Name of the players Dataset 2. Height of the players Dataset 3. Stamina of players Dataset 4. Nationality of the players [3 MARKS]
Answer» (a) Arrange the plants in such a way that one plant acts as the dividing point and there are equal number of plants on either side of this dividing point. The heights of the plants are: 5, 4, 132, 173, 142, 111, 123 (mm) (b) You have to select the players for your football team. Which of the following given datasets will help you to take the decision? Dataset 1. Name of the players Dataset 2. Height of the players Dataset 3. Stamina of players Dataset 4. Nationality of the players [3 MARKS]

4089.

(a) Arrange the plants in such a way that one plant acts as the dividing point and there are equal number of plants on either side of this dividing point. The heights of the plants are: 5, 4, 132, 173, 142, 111, 123 (mm) (b) You have to select the players for your football team. Which of the following given datasets will help you to take the decision? Dataset 1. Name of the players Dataset 2. Height of the players Dataset 3. Stamina of players Dataset 4. Nationality of the players [3 MARKS]

Answer»

(a) Arrange the plants in such a way that one plant acts as the dividing point and there are equal number of plants on either side of this dividing point.

The heights of the plants are: 5, 4, 132, 173, 142, 111, 123 (mm)

(b) You have to select the players for your football team. Which of the following given datasets will help you to take the decision?

Dataset 1. Name of the players

Dataset 2. Height of the players

Dataset 3. Stamina of players

Dataset 4. Nationality of the players
[3 MARKS]

Discussion

4090.	Solve the problem by the method of transposing with the property: X+2X+90=180
Answer» Solve the problem by the method of transposing with the property: X+2X+90=180

4090.

Solve the problem by the method of transposing with the property: X+2X+90=180

Answer»

Solve the problem by the method of transposing with the property:

X+2X+90=180

Discussion

4091.	Darline has 6 candies. Sylvia has 5 more. How many candies does Sylvia have?
Answer» Darline has 6 candies. Sylvia has 5 more. How many candies does Sylvia have?

Discussion

4092.	Question 12100 perons had food provision for 24 days. If 20 persons left the place, the provision will last for(a)30 days(b)965days(c)120 days(d)40 days
Answer» Question 12 100 perons had food provision for 24 days. If 20 persons left the place, the provision will last for (a)30 days $(b) \frac{96}{5} d a y s$ (c)120 days (d)40 days

4092.

Question 12100 perons had food provision for 24 days. If 20 persons left the place, the provision will last for(a)30 days(b)965days(c)120 days(d)40 days

Answer»

Question 12

100 perons had food provision for 24 days. If 20 persons left the place, the provision will last for

(a)30 days

$(b) \frac{96}{5} d a y s$

(c)120 days

(d)40 days

Discussion

4093.	In a class of 35 strudents 24 like to play cricket and 16 like to play football. Also, each student likes to play at least one of the two games. How many students like to play both cricket and football?
Answer» In a class of $35$ strudents $24$ like to play cricket and $16$ like to play football. Also, each student likes to play at least one of the two games. How many students like to play both cricket and football?

Discussion

4094.	36. The number of permutations of the letters a,b,c and d such that b does not follow a and c does not follow b and d does not follow c is
Answer» 36. The number of permutations of the letters a,b,c and d such that b does not follow a and c does not follow b and d does not follow c is

Discussion

4095.	Mettez en ordre.1. à/M./Moscou/Legrand/est.2. ou/en/habitez/au/France/vous/Canada?3. Angleterre/en/vous/n'/allez/pas.4. Parents/Suisse/habitent/en/mes.5. au/en/allons/Mexique/ils/mais/nous/vont/Colombie.
Answer» Mettez en ordre. 1. à/M./Moscou/Legrand/est. 2. ou/en/habitez/au/France/vous/Canada? 3. Angleterre/en/vous/n'/allez/pas. 4. Parents/Suisse/habitent/en/mes. 5. au/en/allons/Mexique/ils/mais/nous/vont/Colombie.

Discussion

4096.	∆XYZ is constructed such that XY = 4 cm, XZ = 8 cm and ∠X = 20⁰. Then, find the sum of measures of ∠Y and ∠X.
Answer» ∆XYZ is constructed such that XY = 4 cm, XZ = 8 cm and ∠X = 20⁰. Then, find the sum of measures of ∠Y and ∠X.

Discussion

4097.	ABCD is a paralle\log ram and \angle DAB=60^°. If the bisector AP and BP of the angles A and B respectively meet at P on CD, prove that P is the mid-point of CD
Answer» ABCD is a paralle\log ram and \angle DAB=60^°. If the bisector AP and BP of the angles A and B respectively meet at P on CD, prove that P is the mid-point of CD

Discussion

4098.	A particle originally at rest at the highest point of a smooth vertical circle of radius R is slightly displaced. It will leave the circle at a vertical distance h below the highest point so the relation between h and R is.
Answer» A particle originally at rest at the highest point of a smooth vertical circle of radius R is slightly displaced. It will leave the circle at a vertical distance h below the highest point so the relation between h and R is.

Discussion

4099.	Question 11Is it possible to construct a triangle with lengths of its sides as 9 cm, 7 cm and 17 cm? Give reason for your answer.
Answer» Question 11 Is it possible to construct a triangle with lengths of its sides as 9 cm, 7 cm and 17 cm? Give reason for your answer.

Discussion

4100.	If the angles of ∆PQR are in the ratio 1:3:5, then ∠R =
Answer» If the angles of ∆PQR are in the ratio $1 : 3 : 5$ , then ∠R =

Discussion

Explore topic-wise InterviewSolutions in .

Sort the steps for construction of a triangle ABC of three sides of lengths 3 cm, 5 cm and 6 cm.

The length of a rectangle is 3x cm and its breadth is 5y cm. What is the area of the rectangle?

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 Opinion Number of students Like Dislike 135 65 Find the probability that a student chosen at random(i) likes statistics,(ii) does not like it.

Find the value of x, if 3x + 2 = 8.

The marked price of a shirt is ₹ 1999 and it is sold at 20% discount.Find the selling price of the shirt ?

If x is 30% more than y; find:(i) xy(ii) y+xx(iii) yy−x

Mention the base and the exponent(1) 103(2) 24(3) 45(4) 50(5) 72(6) (−6)3(7) (8) (0.5)3(9) (10) (32)2

Road distance from Jaipur to Ajmer is 135 km. Howlong can afford to stop for lunch if he can drive at an average speed of 72 km/h on the highway, if he has to reach in 2.5hr?

What is the area of a rectangle with length (x+2)cm and breadth (x+6)cm?

Why is the significant number of 2500 not infinite?

Find which of the following sets are disjoint sets.

Solve the following question: (i) Opposite angles of a quadrilateral ABCD are equal. If AB = 4cm, determine CD.(ii) Diagonals AC and BD of a parallelogram ABCD intersect each other at O. If OA = 3cm and OD = 2cm, determine the lengths of AC and BD.

In the given figure, if BP || CQ and AC = BC, then the measure of x is(a) 20°(b) 25°(c) 30°(d) 35°

Factorise: x4−(x−4)4

In the given figure x, y and z are the internal angles of ∆ABD. Line ED || AB and side AD is extrapolated to point P and the value of ∠EDP and ∠EDB are n and m respectively. Then, the values of n and m are ______ and _______ respectively.

The mean of 10 observations is 15. If one observation 15 is added, then the new mean is(a) 16 (b) 11 (c) 10 (d) 15

The decimal form of 7 l and 555 ml is _____.

Juhi sold a washing machine for ₹13,500 at a loss of 20%. Find the cost price of the washing machine. At what price she must sell to gain 20%?

Kushagra wanted to attend his friend's wedding, but he did not have a new shirt to wear. So he gave 47.7 metres of cloth to the tailor to make a shirt. If 1 shirt can be made using 5.3 metres of cloth. How many shirts can be made from 47.7 metres of cloth?

A rod of a certain length is divided into 4 pieces of lengths 2.03 m, 6.89 m, 1.7 m and 3.83 m. If the total length is divided by the length of the smallest part what would be the result?

A child has a die whose six faces show the letters as given below:The die is thrown once. (i) What is the probability of getting A?(i) What is the probability of getting B?

ऐसाक्योंहोताथाकिमहात्मागांधीकोदुनियाभरसेपत्र'महात्मागांधी-इंडिया'पतालिखकरआतेथे?

14. Sides AB and AC and median AD of atriangle ABC are respectivelyproportional to sides PQ and PR andmedian PM of another triangle PQR.Show that triangle ABC ∼ triangle PQR.

In the given figure, AOB is a straight line. If ∠AOC + ∠BOD = 85°, then ∠COD =(a) 85°(b) 90°(c) 95°(d) 100°

What is the ratio of the boys to the girls enrolled in the HR discipline?

Solve (47−712)+12 .

Simplify xaxb×xbxa×xaxb.

The measure of one of the adjacent angles is twice the other. If both the angles combined form a straight line, find the measure of each angle.

If the selling price of a flower vase is 56 of its cost price, find the loss per cent.

Write an expression for:"m decreased by 5 and then increased by n"

In general, ratio A: B is said to be in simplest form, if the H.C F. of A and B is :

Question 90 (ii)Use isometric dot paper to draw the figure.A rectangular prism with length 4 units, width 2 units and height 2 units.

Find the mode of the following data. Marks 35 36 37 38 39 40 No of students 09 07 09 04 04 02

Question 150For the following repeater machines, how many times the base machine is applied and how much the total stretch is ?

The side view of a solid is a rectangle and it's top view is a triangle. Which of the following could be the described solid shape?

Question 11 The top of a broken tree touches the ground at a distance of 12 m from its base. If the tree is broken at a height of 5 m from the ground, then the actual height of the tree is a) 25 m b) 13 m c) 18 m d) 17 m

If number 4 and 9 have frequencies x and (x-1) respectively . if their arithmetic mean is 6 , then x is equal to what?

Solve the problem by the method of transposing with the property: X+2X+90=180

Darline has 6 candies. Sylvia has 5 more. How many candies does Sylvia have?

Question 12100 perons had food provision for 24 days. If 20 persons left the place, the provision will last for(a)30 days(b)965days(c)120 days(d)40 days

In a class of 35 strudents 24 like to play cricket and 16 like to play football. Also, each student likes to play at least one of the two games. How many students like to play both cricket and football?

36. The number of permutations of the letters a,b,c and d such that b does not follow a and c does not follow b and d does not follow c is

Mettez en ordre.1. à/M./Moscou/Legrand/est.2. ou/en/habitez/au/France/vous/Canada?3. Angleterre/en/vous/n'/allez/pas.4. Parents/Suisse/habitent/en/mes.5. au/en/allons/Mexique/ils/mais/nous/vont/Colombie.

∆XYZ is constructed such that XY = 4 cm, XZ = 8 cm and ∠X = 20⁰. Then, find the sum of measures of ∠Y and ∠X.

ABCD is a paralle\log ram and \angle DAB=60^°. If the bisector AP and BP of the angles A and B respectively meet at P on CD, prove that P is the mid-point of CD

A particle originally at rest at the highest point of a smooth vertical circle of radius R is slightly displaced. It will leave the circle at a vertical distance h below the highest point so the relation between h and R is.

Question 11Is it possible to construct a triangle with lengths of its sides as 9 cm, 7 cm and 17 cm? Give reason for your answer.

If the angles of ∆PQR are in the ratio 1:3:5, then ∠R =

In the given figure x, y and z are the internal angles of ∆ABD. Line ED || AB and side AD is extrapolated to point P and the value of ∠EDP and ∠EDB are n and m respectively. Then, the values of n and m are and _ respectively.