19743 + Interview Questions in Mathematics Page 225 InterviewSolution

11201.	Ravi, who keeps his books on Single Entry System, had his capital on 31st March, 2016 ₹ 20,000 and on 1st April, 2015 was ₹ 16,700. He further informs that during the year, he withdrew for his personal expenses ₹ 9,400. He also sold his personal investment of ₹ 10,000 at 15% premium and brought that money into the business.Prepare a statement of Profit or Loss.
Answer» Ravi, who keeps his books on Single Entry System, had his capital on 31st March, 2016 ₹ 20,000 and on 1st April, 2015 was ₹ 16,700. He further informs that during the year, he withdrew for his personal expenses ₹ 9,400. He also sold his personal investment of ₹ 10,000 at 15% premium and brought that money into the business. Prepare a statement of Profit or Loss.

Discussion

11202.	A ladder of height 15 m casts a shadow of 12 m and a nearby tree casts a shadow of 14 m. Find the height of the tree assuming that the data is collected at the same place and at the same time.
Answer» A ladder of height 15 m casts a shadow of 12 m and a nearby tree casts a shadow of 14 m. Find the height of the tree assuming that the data is collected at the same place and at the same time.

Discussion

11203.	Anmol drew a circle and divided it into four equal parts. Find the ratio between the coloured and uncoloured regions
Answer» Anmol drew a circle and divided it into four equal parts. Find the ratio between the coloured and uncoloured regions

11203.

Anmol drew a circle and divided it into four equal parts. Find the ratio between the coloured and uncoloured regions

Answer»

Anmol drew a circle and divided it into four equal parts. Find the ratio between the coloured and uncoloured regions

Discussion

11204.	If the sets A and B are defined asA = {(x, y) : y = 2x, x ∈ R}, B = {(x, y) : y = x2, x ∈ R},then the number of elements in the power set of theset (A ∩ B) is
Answer» If the sets A and B are defined as A = {(x, y) : y = 2x, x ∈ R}, B = {(x, y) : y = x2, x ∈ R}, then the number of elements in the power set of the set (A ∩ B) is

Discussion

11205.	Mother has made laddus. She gives some laddus to guests and family members; still 5 laddus remain. If the number of laddus mother gave away is l, how many laddus did she make?
Answer» Mother has made laddus. She gives some laddus to guests and family members; still 5 laddus remain. If the number of laddus mother gave away is $l$ , how many laddus did she make?

Discussion

11206.	The length of a rectangle is 3x−4y+6z and its perimeter is 8x+9y+18z. Breadth of the rectangle is
Answer» The length of a rectangle is $3 x - 4 y + 6 z$ and its perimeter is $8 x + 9 y + 18 z$ . Breadth of the rectangle is

Discussion

11207.	Organisation of data means:
Answer» Organisation of data means:

Discussion

11208.	Question 35The variable used in the equation 2p + 8 = 18 is ___ .
Answer» Question 35 The variable used in the equation 2p + 8 = 18 is ___ .

11208.

Question 35The variable used in the equation 2p + 8 = 18 is ___ .

Answer»

Question 35

The variable used in the equation 2p + 8 = 18 is ___ .

Discussion

11209.	Question 122 Which of the figures given below have both line and rotational symmetry?
Answer» Question 122 Which of the figures given below have both line and rotational symmetry?

11209.

Question 122 Which of the figures given below have both line and rotational symmetry?

Answer»

Question 122
Which of the figures given below have both line and rotational symmetry?

Discussion

11210.	Question 106(iii)The food table is given below information about 2 types of soup cream of tomato and sweet corn. Use these lables to answer the given questions. (all the serving are based on a 2000 calories diet.)Find the increase per cent of sugar consumed, if cream of tomato soup is chosen over sweet corn soup.
Answer» Question 106(iii) The food table is given below information about 2 types of soup cream of tomato and sweet corn. Use these lables to answer the given questions. (all the serving are based on a 2000 calories diet.) Find the increase per cent of sugar consumed, if cream of tomato soup is chosen over sweet corn soup.

11210.

Question 106(iii)The food table is given below information about 2 types of soup cream of tomato and sweet corn. Use these lables to answer the given questions. (all the serving are based on a 2000 calories diet.)Find the increase per cent of sugar consumed, if cream of tomato soup is chosen over sweet corn soup.

Answer»

Question 106(iii)

The food table is given below information about 2 types of soup cream of tomato and sweet corn. Use these lables to answer the given questions. (all the serving are based on a 2000 calories diet.)

Find the increase per cent of sugar consumed, if cream of tomato soup is chosen over sweet corn soup.

Discussion

11211.	How to check the solution of linear equation
Answer» How to check the solution of linear equation

Discussion

11212.	Anmol was cutting a piece of paper with a pair of scissors. She observed that as she increases the angle of the scissors, the vertically opposite angle ___.
Answer» Anmol was cutting a piece of paper with a pair of scissors. She observed that as she increases the angle of the scissors, the vertically opposite angle ___.

Discussion

11213.	Factorise the term a2+bc+ab+ac
Answer» Factorise the term $a^{2} + b c + a b + a c$

Discussion

11214.	Add the following(a) 2m, 6m, m(b) 2pq, 4pq, 8pq, pq(c) 7x, 4y, 3x, 2y(d) 8xyz, 12yzx(e) 4ab, 5bc
Answer» Add the following (a) 2m, 6m, m (b) 2pq, 4pq, 8pq, pq (c) 7x, 4y, 3x, 2y (d) 8xyz, 12yzx (e) 4ab, 5bc

11214.

Add the following(a) 2m, 6m, m(b) 2pq, 4pq, 8pq, pq(c) 7x, 4y, 3x, 2y(d) 8xyz, 12yzx(e) 4ab, 5bc

Answer»

Add the following

(a) 2m, 6m, m

(b) 2pq, 4pq, 8pq, pq

(c) 7x, 4y, 3x, 2y

(d) 8xyz, 12yzx

(e) 4ab, 5bc

Discussion

11215.	A rectangle has rotational symmetry of order(a) 1(b) 2(c) 3(d) 4
Answer» A rectangle has rotational symmetry of order (a) 1 (b) 2 (c) 3 (d) 4

Discussion

11216.	The following pie chart shows the percentage of students who like a particular subject. Given that 120 students took part in the survey. The number of students who like Maths is _____.
Answer» The following pie chart shows the percentage of students who like a particular subject. Given that 120 students took part in the survey. The number of students who like Maths is _____.

Discussion

11217.	35. If angles a,b,c of a triangle ABC are in A.P.then B=
Answer» 35. If angles a,b,c of a triangle ABC are in A.P.then B=

Discussion

11218.	75 × 75 + 2 × 75 × 25 + 25 × 25 is equal to(a) 10000(b) 6250(c) 7500(d) 3750
Answer» 75 × 75 + 2 × 75 × 25 + 25 × 25 is equal to (a) 10000 (b) 6250 (c) 7500 (d) 3750

Discussion

11219.	Question 1(g) Evaluate the following (- 31) ÷ [(- 30) + (-1)]
Answer» Question 1(g) Evaluate the following (- 31) $\div$ [(- 30) + (-1)]

Discussion

11220.	In the following question, there is a sentence which is divided into four parts. Choose the fragment that carries an error (if any). Ignore punctuation errors if any. In case an informal system is used, / either a transfer, an informal warning / or a non-hierarchical but status demotion / are the remedies to correct indiscipline.
Answer» In the following question, there is a sentence which is divided into four parts. Choose the fragment that carries an error (if any). Ignore punctuation errors if any. In case an informal system is used, / either a transfer, an informal warning / or a non-hierarchical but status demotion / are the remedies to correct indiscipline.

11220.

In the following question, there is a sentence which is divided into four parts. Choose the fragment that carries an error (if any). Ignore punctuation errors if any. In case an informal system is used, / either a transfer, an informal warning / or a non-hierarchical but status demotion / are the remedies to correct indiscipline.

Answer»

In the following question, there is a sentence which is divided into four parts. Choose the fragment that carries an error (if any). Ignore punctuation errors if any.

In case an informal system is used, / either a transfer, an informal warning / or a non-hierarchical but status demotion / are the remedies to correct indiscipline.

Discussion

11221.

The table given below shows the number of Avengers series Cards collected by Rehaan and Zoib over a period of 4 months. Select the correct bar graph from the options given below:MonthsJanuary February March April number of Avengers series cards collected by Rehaan15302050number of Avengers series cards collected by Zoib25101040

Answer»

The table given below shows the number of Avengers series Cards collected by Rehaan and Zoib over a period of 4 months. Select the correct bar graph from the options given below:

Months	January	February	March	April
number of Avengers series cards collected by Rehaan	15	30	20	50
number of Avengers series cards collected by Zoib	25	10	10	40

Discussion

11222.	In the given figure, find the values of x, y and z.
Answer» In the given figure, find the values of x, y and z.

Discussion

11223.	When bar graphs are put together in the form of ranges, we obtain a pictorial representation known as .
Answer» When bar graphs are put together in the form of ranges, we obtain a pictorial representation known as .

Discussion

11224.	What should be multiplied to 2√3 to obtain 4√6 ?
Answer» What should be multiplied to $2 \sqrt{3}$ to obtain $4 \sqrt{6}$ ?

Discussion

11225.	Write a program to find the number of times an element occurs in the list.
Answer» Write a program to find the number of times an element occurs in the list.

Discussion

11226.	The numbers of the divisors of the number 2^5,3^4,5^7,7^2 which are ending with zero
Answer» The numbers of the divisors of the number 2^5,3^4,5^7,7^2 which are ending with zero

Discussion

11227.	25. Let ABC be a triangle. Let D, E, F be points respectively on segments BC, CA, AB such that AD, BE, CF concurrent at the point K. Suppose BD/DC=BF/FA and angle ADB=angleAFC. Prove that angleABE=angleCAD.
Answer» 25. Let ABC be a triangle. Let D, E, F be points respectively on segments BC, CA, AB such that AD, BE, CF concurrent at the point K. Suppose BD/DC=BF/FA and angle ADB=angleAFC. Prove that angleABE=angleCAD.

Discussion

11228.	Fill in the following table and find the mean weight.Weight in kg (xi)No. of girls (fi)fi×xi406______426______3415______3614______467______N=______∑xifi=_____
Answer» Fill in the following table and find the mean weight. $\begin{matrix} Weight in kg (x_{i}) & No. of girls (f_{i}) & f_{i} \times x_{i} 40 & 6 & ______42 & 6 & ______34 & 15 & ______36 & 14 & ______46 & 7 & ______N =______ & \sum x_{i} f_{i} =_____ \end{matrix}$

Discussion

11229.	In an exam involving negative marking, the maximum marks scored were 75 out of 100 and minimum marks scored were -6. How many marks less is the minimum marks from the maximum marks?
Answer» In an exam involving negative marking, the maximum marks scored were 75 out of 100 and minimum marks scored were -6. How many marks less is the minimum marks from the maximum marks?

Discussion

11230.	Consider an equilateral triangle in which the length of one side is 6 cm. Find the radius of the incircle of the triangle.
Answer» Consider an equilateral triangle in which the length of one side is 6 cm. Find the radius of the incircle of the triangle.

Discussion

11231.	The radius of an air bubble is increasing at the rate of 12cm/sAt what rate is the volume of the bubble increasing when the radius is 1cm?
Answer» The radius of an air bubble is increasing at the rate of $\frac{1}{2} cm/s$ At what rate is the volume of the bubble increasing when the radius is $1 cm$ ?

Discussion

11232.	The expression 21b - 32 + 7b - 20b on simplification gives
Answer» The expression 21b - 32 + 7b - 20b on simplification gives

Discussion

11233.

How are the following items dealt with while preparing Income and Expenditure Account of a club for the year ended 31st March, 2018? 1st April, 2017 31st March, 2018 Outstanding Locker Rent ₹ 4,600 ₹ 6,300 Advance Locker Rent ₹ 3,000 ₹ 4,000 Locker Rent received during the year ended 31st March, 2018— ₹ 52,000.

Answer» How are the following items dealt with while preparing Income and Expenditure Account of a club for the year ended 31st March, 2018?

	1st April, 2017	31st March, 2018
Outstanding Locker Rent	₹ 4,600	₹ 6,300
Advance Locker Rent	₹ 3,000	₹ 4,000

Locker Rent received during the year ended 31st March, 2018

—

₹ 52,000.

Discussion

11234.	Father is 5 times son's age and the sum of their ages is 120, then son's age is
Answer» Father is 5 times son's age and the sum of their ages is 120, then son's age is

Discussion

11235.	Among four friends, Haria is twice the age of Gautam. Gopi is one and half times younger than Gautam. Bala is six years elder to Gautam, but six years younger to Haria. Who is oldest?
Answer» Among four friends, Haria is twice the age of Gautam. Gopi is one and half times younger than Gautam. Bala is six years elder to Gautam, but six years younger to Haria. Who is oldest?

Discussion

11236.	Question 67 State whether the statement is True or False. Interior angles on the same side of a transversal with two distinct parallel lines are complementary angles.
Answer» Question 67 State whether the statement is True or False. Interior angles on the same side of a transversal with two distinct parallel lines are complementary angles.

11236.

Question 67 State whether the statement is True or False. Interior angles on the same side of a transversal with two distinct parallel lines are complementary angles.

Answer»

Question 67

State whether the statement is True or False.

Interior angles on the same side of a transversal with two distinct parallel lines are complementary angles.

Discussion

11237.	Find the smallest positive number that can be multiplied with 666, to make it divisible by 4.
Answer» Find the smallest positive number that can be multiplied with $666,$ to make it divisible by $4.$

Discussion

11238.	22. if f(x+2y÷3)= f(x)+2f(y)÷3 ,x,y R and f(0) exists and is finite, show that f(x) is continuous on the entire number line
Answer» 22. if f(x+2y÷3)= f(x)+2f(y)÷3 ,x,y R and f(0) exists and is finite, show that f(x) is continuous on the entire number line

Discussion

11239.	In the following diagram what is the distance x if the radius of curvature R = 15 cm.
Answer» In the following diagram what is the distance x if the radius of curvature R = 15 cm.

Discussion

11240.	If the angle of a triangle are in the ratio 1:2:3, find the angles.classify the triangle in two different ways.
Answer» If the angle of a triangle are in the ratio 1:2:3, find the angles.classify the triangle in two different ways.

Discussion

11241.	Question 1(o)State whether the given expression is an equation or not. Give reason for your answer. Identify the variable in the given expression.7−x=5
Answer» Question 1(o) State whether the given expression is an equation or not. Give reason for your answer. Identify the variable in the given expression. $7 - x = 5$

11241.

Question 1(o)State whether the given expression is an equation or not. Give reason for your answer. Identify the variable in the given expression.7−x=5

Answer»

Question 1(o)

State whether the given expression is an equation or not. Give reason for your answer. Identify the variable in the given expression.

$7 - x = 5$

Discussion

11242.	Let two lines L1:x−33=y−2−4=z−1 and L2:x−34=y−21=z−3 and x−3a=y−26=zb,(a,b∈R) is the acute angle bisector between lines L1 and L2. Then the value of \|a+b\|=
Answer» Let two lines $L_{1} : \frac{x - 3}{3} = \frac{y - 2}{- 4} = \frac{z}{- 1}$ and $L_{2} : \frac{x - 3}{4} = \frac{y - 2}{1} = \frac{z}{- 3}$ and $\frac{x - 3}{a} = \frac{y - 2}{6} = \frac{z}{b}, (a, b \in R)$ is the acute angle bisector between lines $L_{1}$ and $L_{2} .$ Then the value of $\| a + b \| =$

Discussion

11243.	Which of the following number(s) lie in the fourth quadrant?
Answer» Which of the following number(s) lie in the fourth quadrant?

Discussion

11244.	In a group of 200 students, 20 played cricket only, 36 played tennis only, 40 played hockey only, eight played cricket and tennis, 20 played cricket and hockey, 28 played hockey and tennis and 80 played hockey. By drawing a Venn diagram, find the number of students who (i) played cricket(ii) played tennis(iii) did not play any of the above three games2
Answer» In a group of 200 students, 20 played cricket only, 36 played tennis only, 40 played hockey only, eight played cricket and tennis, 20 played cricket and hockey, 28 played hockey and tennis and 80 played hockey. By drawing a Venn diagram, find the number of students who (i) played cricket (ii) played tennis (iii) did not play any of the above three games 2

Discussion

11245.	The Speed of a car going from Delhi to Agra is 45.75 km/hr. The time taken to travel is 2.5 hrs. Find the Distance between Delhi and Agra. (Hint : D = S × T)
Answer» The Speed of a car going from Delhi to Agra is 45.75 km/hr. The time taken to travel is 2.5 hrs. Find the Distance between Delhi and Agra. (Hint : D = S $\times$ T)

11245.

The Speed of a car going from Delhi to Agra is 45.75 km/hr. The time taken to travel is 2.5 hrs. Find the Distance between Delhi and Agra. (Hint : D = S × T)

Answer»

The Speed of a car going from Delhi to Agra is 45.75 km/hr. The time taken to travel is 2.5 hrs. Find the Distance between Delhi and Agra.

(Hint : D = S $\times$ T)

Discussion

11246.	Prove that the product of three consecutive positive integer is divisible by 6.(note:its not any three consecutive positive integers.)
Answer» Prove that the product of three consecutive positive integer is divisible by 6.(note:its not any three consecutive positive integers.)

Discussion

11247.	Comprehend Euler's polyhedron formula. Also, send in its proof.
Answer» Comprehend Euler's polyhedron formula. Also, send in its proof.

Discussion

11248.	Draw a triangle ABC in which AB = 5 cm, BC= 7 cm, and ∠B = 75°.
Answer» Draw a triangle ABC in which AB = 5 cm, BC= 7 cm, and ∠B = 75°.

Discussion

11249.	In the cube given below, if one unit cube represents 30, then express what the whole cube represents, as a power of 3?
Answer» In the cube given below, if one unit cube represents $3^{0}$ , then express what the whole cube represents, as a power of 3?

Discussion

11250.	The boundaries of a square of side 6 cm and a rectangle of sides 6 cm and 8 cm were to be covered by a ribbon. What is the total length of ribbon required?
Answer» The boundaries of a square of side $6 cm$ and a rectangle of sides $6 cm$ and $8 cm$ were to be covered by a ribbon. What is the total length of ribbon required?

Discussion

Explore topic-wise InterviewSolutions in .

A ladder of height 15 m casts a shadow of 12 m and a nearby tree casts a shadow of 14 m. Find the height of the tree assuming that the data is collected at the same place and at the same time.

Anmol drew a circle and divided it into four equal parts. Find the ratio between the coloured and uncoloured regions

If the sets A and B are defined asA = {(x, y) : y = 2x, x ∈ R}, B = {(x, y) : y = x2, x ∈ R},then the number of elements in the power set of theset (A ∩ B) is

Mother has made laddus. She gives some laddus to guests and family members; still 5 laddus remain. If the number of laddus mother gave away is l, how many laddus did she make?

The length of a rectangle is 3x−4y+6z and its perimeter is 8x+9y+18z. Breadth of the rectangle is

Organisation of data means:

Question 35The variable used in the equation 2p + 8 = 18 is ___ .

Question 122 Which of the figures given below have both line and rotational symmetry?

How to check the solution of linear equation

Anmol was cutting a piece of paper with a pair of scissors. She observed that as she increases the angle of the scissors, the vertically opposite angle ___.

Factorise the term a2+bc+ab+ac

Add the following(a) 2m, 6m, m(b) 2pq, 4pq, 8pq, pq(c) 7x, 4y, 3x, 2y(d) 8xyz, 12yzx(e) 4ab, 5bc

A rectangle has rotational symmetry of order(a) 1(b) 2(c) 3(d) 4

The following pie chart shows the percentage of students who like a particular subject. Given that 120 students took part in the survey. The number of students who like Maths is _____.

35. If angles a,b,c of a triangle ABC are in A.P.then B=

75 × 75 + 2 × 75 × 25 + 25 × 25 is equal to(a) 10000(b) 6250(c) 7500(d) 3750

Question 1(g) Evaluate the following (- 31) ÷ [(- 30) + (-1)]

In the given figure, find the values of x, y and z.

When bar graphs are put together in the form of ranges, we obtain a pictorial representation known as .

What should be multiplied to 2√3 to obtain 4√6 ?

Write a program to find the number of times an element occurs in the list.

The numbers of the divisors of the number 2^5,3^4,5^7,7^2 which are ending with zero

25. Let ABC be a triangle. Let D, E, F be points respectively on segments BC, CA, AB such that AD, BE, CF concurrent at the point K. Suppose BD/DC=BF/FA and angle ADB=angleAFC. Prove that angleABE=angleCAD.

Fill in the following table and find the mean weight.Weight in kg (xi)No. of girls (fi)fi×xi406______426______3415______3614______467______N=______∑xifi=_____

In an exam involving negative marking, the maximum marks scored were 75 out of 100 and minimum marks scored were -6. How many marks less is the minimum marks from the maximum marks?

Consider an equilateral triangle in which the length of one side is 6 cm. Find the radius of the incircle of the triangle.

The radius of an air bubble is increasing at the rate of 12cm/sAt what rate is the volume of the bubble increasing when the radius is 1cm?

The expression 21b - 32 + 7b - 20b on simplification gives

Father is 5 times son's age and the sum of their ages is 120, then son's age is

Among four friends, Haria is twice the age of Gautam. Gopi is one and half times younger than Gautam. Bala is six years elder to Gautam, but six years younger to Haria. Who is oldest?

Question 67 State whether the statement is True or False. Interior angles on the same side of a transversal with two distinct parallel lines are complementary angles.

Find the smallest positive number that can be multiplied with 666, to make it divisible by 4.

22. if f(x+2y÷3)= f(x)+2f(y)÷3 ,x,y R and f(0) exists and is finite, show that f(x) is continuous on the entire number line

In the following diagram what is the distance x if the radius of curvature R = 15 cm.

If the angle of a triangle are in the ratio 1:2:3, find the angles.classify the triangle in two different ways.

Question 1(o)State whether the given expression is an equation or not. Give reason for your answer. Identify the variable in the given expression.7−x=5

Let two lines L1:x−33=y−2−4=z−1 and L2:x−34=y−21=z−3 and x−3a=y−26=zb,(a,b∈R) is the acute angle bisector between lines L1 and L2. Then the value of |a+b|=

Which of the following number(s) lie in the fourth quadrant?

The Speed of a car going from Delhi to Agra is 45.75 km/hr. The time taken to travel is 2.5 hrs. Find the Distance between Delhi and Agra. (Hint : D = S × T)

Prove that the product of three consecutive positive integer is divisible by 6.(note:its not any three consecutive positive integers.)

Comprehend Euler's polyhedron formula. Also, send in its proof.

Draw a triangle ABC in which AB = 5 cm, BC= 7 cm, and ∠B = 75°.

In the cube given below, if one unit cube represents 30, then express what the whole cube represents, as a power of 3?

The boundaries of a square of side 6 cm and a rectangle of sides 6 cm and 8 cm were to be covered by a ribbon. What is the total length of ribbon required?

Fill in the following table and find the mean weight.Weight in kg (xi)No. of girls (fi)fi×xi40642634153614467N=∑xifi=_