25365 + Interview Questions in Mathematics Page 15 InterviewSolution

701.	Construct an isosceles triangle whose altitude is 5 cm and whose vertex angle is 70°.
Answer» Construct an isosceles triangle whose altitude is 5 cm and whose vertex angle is 70°.

Discussion

702.	Simplify:(4x+3y)(4x−3y)
Answer» Simplify: $(4 x + 3 y) (4 x - 3 y)$

Discussion

703.	List price of a washing machine is Rs. 9000. If the dealer allows a discount of 5% on the cash payment, how much money will a customer pay to the dealer in cash, if the rate of VAT is 10%.
Answer» List price of a washing machine is Rs. 9000. If the dealer allows a discount of $5 %$ on the cash payment, how much money will a customer pay to the dealer in cash, if the rate of VAT is $10 %$ .

Discussion

704.	Determine the range for -68, 85, 55, 148 and 117?
Answer» Determine the range for -68, 85, 55, 148 and 117?

Discussion

705.	₹ 4000 amount to ₹ 5000 in 8 years. In what time will ₹ 1600 amount to ₹ 2400 at the same rate ?
Answer» ₹ 4000 amount to ₹ 5000 in 8 years. In what time will ₹ 1600 amount to ₹ 2400 at the same rate ?

Discussion

706.	Parikshit makes a cuboid of plasticine of sides 5cm, 2cm, 5cm. How many such cuboids will he need to form a cube?
Answer» Parikshit makes a cuboid of plasticine of sides 5cm, 2cm, 5cm. How many such cuboids will he need to form a cube?

Discussion

707.	An 8 m long cuboidal beam of wood when sliced produces four thousand 1 cm cubes and there is no wastage of wood in this process. If one edge of the beam is 0.5 m, find the third edge.
Answer» An 8 m long cuboidal beam of wood when sliced produces four thousand 1 cm cubes and there is no wastage of wood in this process. If one edge of the beam is 0.5 m, find the third edge.

Discussion

708.	Draw a net of the solid given in the figure:
Answer» Draw a net of the solid given in the figure:

708.

Draw a net of the solid given in the figure:

Answer»

Draw a net of the solid given in the figure:

Discussion

709.	Thirty children were asked about the number of hours they watched TV programmes in the previous week. The results were found as follows:1623512584810341228151176328596871412Make a grouped frequency distribution table for this data, taking class width as 5 and one of the class intervals as 5- 10.
Answer» Thirty children were asked about the number of hours they watched TV programmes in the previous week. The results were found as follows: $\begin{matrix} 1 & 6 & 2 & 3 & 5 & 12 & 5 & 8 & 4 & 8 10 & 3 & 4 & 12 & 2 & 8 & 15 & 1 & 17 & 6 3 & 2 & 8 & 5 & 9 & 6 & 8 & 7 & 14 & 12 \end{matrix}$ Make a grouped frequency distribution table for this data, taking class width as 5 and one of the class intervals as 5- 10.

Discussion

710.	EdWear has printing facilities in y cities. Each city has two factories. If each factory has 5 T- shirt printing machines. How many machines are there in total?
Answer» EdWear has printing facilities in $y$ cities. Each city has two factories. If each factory has $5$ T- shirt printing machines. How many machines are there in total?

Discussion

711.	Let a,b anc be real numbers such that a-7b+8c=4 and 8a+4b-c=7 then the value of a^2-b^2+c^2is:
Answer» Let a,b anc be real numbers such that a-7b+8c=4 and 8a+4b-c=7 then the value of a^2-b^2+c^2is:

Discussion

712.	The volume of a rectangular block of stone is 10368 m3. If its length, breadth and height are in the ratio 3 : 2 : 1, then its length, breadth and height are
Answer» The volume of a rectangular block of stone is 10368 $m^{3}$ . If its length, breadth and height are in the ratio 3 : 2 : 1, then its length, breadth and height are

Discussion

713.	For which of the following linear equation(s) is x=6 a solution?
Answer» For which of the following linear equation(s) is $x = 6$ a solution?

Discussion

714.	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

715.	ntshow that square of an odd integer is of the form 4q+1 for the some integer qn
Answer» ntshow that square of an odd integer is of the form 4q+1 for the some integer qn

Discussion

716.	The bar graph below shows the sales of newspapers (in millions) in six branches of a publishing company for the years 2013 and 2014. i)What is the average sales of all the branches (in millions) for the year 2014? ii) What is the total sales in the brances NP1, NP3 and NP5 for both years?
Answer» The bar graph below shows the sales of newspapers (in millions) in six branches of a publishing company for the years 2013 and 2014. i)What is the average sales of all the branches (in millions) for the year 2014? ii) What is the total sales in the brances NP1, NP3 and NP5 for both years?

716.

The bar graph below shows the sales of newspapers (in millions) in six branches of a publishing company for the years 2013 and 2014. i)What is the average sales of all the branches (in millions) for the year 2014? ii) What is the total sales in the brances NP1, NP3 and NP5 for both years?

Answer»

The bar graph below shows the sales of newspapers (in millions) in six branches of a publishing company for the years 2013 and 2014.

i)What is the average sales of all the branches (in millions) for the year 2014?

ii) What is the total sales in the brances NP1, NP3 and NP5 for both years?

Discussion

717.	Diagonals of a/an ___ necessarily bisect the opposite angles.
Answer» Diagonals of a/an ___ necessarily bisect the opposite angles.

Discussion

718.	In a stationary wave represented by y = 2acos(kx)sin(ωt) the intensity at a certain point is maximum when(1)cos(kx) is maximum(2)cos(kx) is minimum(3)sin(ωt) is maximum(4)sin(ωt) is minimum
Answer» In a stationary wave represented by y = 2acos(kx)sin(ωt) the intensity at a certain point is maximum when (1)cos(kx) is maximum (2)cos(kx) is minimum (3)sin(ωt) is maximum (4)sin(ωt) is minimum

Discussion

719.	A, B and C can do a piece of work in 6 days, 12 days and 24 days respectively. In what time will they all together do it?
Answer» A, B and C can do a piece of work in 6 days, 12 days and 24 days respectively. In what time will they all together do it?

Discussion

720.	If A and\:B can together do a work in 14 days and A alone can do it in 9 days then in how many days can B do it alone?
Answer» If A and\:B can together do a work in 14 days and A alone can do it in 9 days then in how many days can B do it alone?

Discussion

721.	32. A tree of 6m height casrs a 4m long shadow,At the same time,a flag post cast a shadow 50m long.The height of post is?
Answer» 32. A tree of 6m height casrs a 4m long shadow,At the same time,a flag post cast a shadow 50m long.The height of post is?

Discussion

722.	The spatial orientation of sp3d3 hybrid orbitals is:
Answer» The spatial orientation of sp³d³ hybrid orbitals is:

Discussion

723.	The diameters of a circle are along 2x+y−7=0 and x+3y−11=0 Then the equation of this circle, which also passes through (5,7) is
Answer» The diameters of a circle are along $2 x + y - 7 = 0$ and $x + 3 y - 11 = 0$ Then the equation of this circle, which also passes through (5,7) is

Discussion

724.	Find the median of the following data. Class interval100−110110−120120−130130−140140−150Frequency6914219
Answer» Find the median of the following data. $\begin{matrix} C l a s s i n t e r v a l & 100 - 110 & 110 - 120 & 120 - 130 & 130 - 140 & 140 - 150 F r e q u e n c y & 6 & 9 & 14 & 2 & 19 \end{matrix}$

724.

Find the median of the following data. Class interval100−110110−120120−130130−140140−150Frequency6914219

Answer»

Find the median of the following data.

$\begin{matrix} C l a s s i n t e r v a l & 100 - 110 & 110 - 120 & 120 - 130 & 130 - 140 & 140 - 150 F r e q u e n c y & 6 & 9 & 14 & 2 & 19 \end{matrix}$

Discussion

725.	if the points A(6,1),B(8,2),C(9,4) and D(p,3) are the vertices of a parallelogram , taken in order , find the value of P
Answer» if the points A(6,1),B(8,2),C(9,4) and D(p,3) are the vertices of a parallelogram , taken in order , find the value of P

Discussion

726.	Question 39.If the present age of Ramandeep is n years, then her age after 7 years will be ___ .
Answer» Question 39. If the present age of Ramandeep is n years, then her age after 7 years will be ___ .

726.

Question 39.If the present age of Ramandeep is n years, then her age after 7 years will be ___ .

Answer»

Question 39.

If the present age of Ramandeep is n years, then her age after 7 years will be ___ .

Discussion

727.	Question 1(vi)Find the cube root of each of the following numbers by prime factorization method:13824
Answer» Question 1(vi) Find the cube root of each of the following numbers by prime factorization method: 13824

Discussion

728.	(3y+8)2=9y2+ +64
Answer» $(3 y + 8)^{2} = 9 y^{2} +$ $+ 64$

Discussion

729.	Find the cube root by prime factorization:(i) 10648; (ii) 46656; (iii) 15625.
Answer» Find the cube root by prime factorization: (i) 10648; (ii) 46656; (iii) 15625.

729.

Find the cube root by prime factorization:(i) 10648; (ii) 46656; (iii) 15625.

Answer»

Find the cube root by prime factorization:

(i) 10648; (ii) 46656; (iii) 15625.

Discussion

730.	Identify the number of triangles in the given figure.
Answer» Identify the number of triangles in the given figure.

730.

Identify the number of triangles in the given figure.

Answer»

Identify the number of triangles in the given figure.

Discussion

731.	Separate the constants and variables from the following:
Answer» Separate the constants and variables from the following:

731.

Separate the constants and variables from the following:

Answer»

Separate the constants and variables from the following:

Discussion

732.	For which of these would you use a histogram to show the data? (a) The number of letters for different areas in a postman’s bag. (b) The height of competitors in an athletics meet. (c) The number of cassettes produced by 5 companies. (d) The number of passengers boarding trains from 7:00 a.m. to 7:00 p.m. at a station. Give reasons for each.
Answer» For which of these would you use a histogram to show the data? (a) The number of letters for different areas in a postman’s bag. (b) The height of competitors in an athletics meet. (c) The number of cassettes produced by 5 companies. (d) The number of passengers boarding trains from 7:00 a.m. to 7:00 p.m. at a station. Give reasons for each.

732.

For which of these would you use a histogram to show the data? (a) The number of letters for different areas in a postman’s bag. (b) The height of competitors in an athletics meet. (c) The number of cassettes produced by 5 companies. (d) The number of passengers boarding trains from 7:00 a.m. to 7:00 p.m. at a station. Give reasons for each.

Answer»

For which
of these would you use a histogram to show the data?

(a) The
number of letters for different areas in a postman’s bag.

(b) The
height of competitors in an athletics meet.

(c) The
number of cassettes produced by 5 companies.

(d) The number of passengers boarding trains from 7:00 a.m. to 7:00
p.m. at a station.

Give reasons for each.

Discussion

733.	A shopkeeper marks his goods at 40% above the cost price but allows a discount of 5% for cash payment to his customers. What actual profit does he make if he receives Rs. 1064 after paying the discount?
Answer» A shopkeeper marks his goods at $40 %$ above the cost price but allows a discount of $5 %$ for cash payment to his customers. What actual profit does he make if he receives Rs. 1064 after paying the discount?

Discussion

734.	Question 99State whether the statements are True or False.Triangle is a polygon whose sum of exterior angles is double the sum of interior angles.
Answer» Question 99 State whether the statements are True or False. Triangle is a polygon whose sum of exterior angles is double the sum of interior angles.

Discussion

735.	Question 10 The number of boys and girls in a class are in the ratio7:5.The number of boys is 8 more than the number of girls. What is the total class strength?
Answer» Question 10 The number of boys and girls in a class are in the ratio7:5.The number of boys is 8 more than the number of girls. What is the total class strength?

Discussion

736.	If A=[3−6a−2] is an idempotent matrix, then which of the following is/are TRUE
Answer» If $A = [\begin{matrix} 3 & - 6 a & - 2 \end{matrix}]$ is an idempotent matrix, then which of the following is/are TRUE

Discussion

737.	Ethan is responsible for buying a week's supply of food and medication for the dogs and cats at a local shelter. The food and medication for each dog costs twice as much as those supplies for a cat. He needs to feed 164 cats and 24 dogs. Her budget is Rs. 4240. How much can Ethan spend on each dog for food and medication? [4 MARKS]
Answer» Ethan is responsible for buying a week's supply of food and medication for the dogs and cats at a local shelter. The food and medication for each dog costs twice as much as those supplies for a cat. He needs to feed 164 cats and 24 dogs. Her budget is Rs. 4240. How much can Ethan spend on each dog for food and medication? [4 MARKS]

Discussion

738.	In the figure, QT ⊥ PR, ∠TQR = 40° and ∠SPR = 30°. Find ∠TRS and ∠PSQ
Answer» In the figure, QT ⊥ PR, ∠TQR = 40° and ∠SPR = 30°. Find ∠TRS and ∠PSQ

738.

In the figure, QT ⊥ PR, ∠TQR = 40° and ∠SPR = 30°. Find ∠TRS and ∠PSQ

Answer»

In the figure, QT ⊥ PR, ∠TQR = 40° and ∠SPR = 30°. Find ∠TRS and ∠PSQ

Discussion

739.

Draw a histogram to represent the following information: Marks 0 − 10 10 − 30 30 − 45 45 − 50 50 − 60 Number of students 8 32 18 10 6

Answer» Draw a histogram to represent the following information:

Marks	0 − 10	10 − 30	30 − 45	45 − 50	50 − 60
Number of students	8	32	18	10	6

Discussion

740.	1200 soldiers in a fort had enough food for 28 days. after 4 days some soldiers were sent to another fort and thus the food lasted for 32 more days. how many soldiers left the fort?
Answer» 1200 soldiers in a fort had enough food for 28 days. after 4 days some soldiers were sent to another fort and thus the food lasted for 32 more days. how many soldiers left the fort?

Discussion

741.	In what time will the simple interest on a certain sum be 0.24 times the principal at 12% per annum?
Answer» In what time will the simple interest on a certain sum be 0.24 times the principal at 12% per annum?

Discussion

742.	Question 2 Mrs Kaushik has a square plot with the measurement as shown in the figure. She wants to construct a house in the middle of the plot with the dimensions 20m× 15m. A garden is developed around the house.Find the total cost of developing a garden around the house at the rate of 55 per m2.
Answer» Question 2 Mrs Kaushik has a square plot with the measurement as shown in the figure. She wants to construct a house in the middle of the plot with the dimensions $20 m \times 15 m$ . A garden is developed around the house.Find the total cost of developing a garden around the house at the rate of 55 per $m^{2}$ .

Discussion

743.	Numbers from 1 to 10 are each written on ten separate slips (one number on one slip), kept in a box and mixed well. One slip is randomly chosen from the box. What is the probability of the number chosen being less than 6?
Answer» Numbers from 1 to 10 are each written on ten separate slips (one number on one slip), kept in a box and mixed well. One slip is randomly chosen from the box. What is the probability of the number chosen being less than 6?

Discussion

744.	In a lottery,there are 5 prized tickets and 995 blank tickets. A person buys a lottery ticket . Find the probability of his winning a prize
Answer» In a lottery,there are 5 prized tickets and 995 blank tickets. A person buys a lottery ticket . Find the probability of his winning a prize

Discussion

745.	40. One man and two boys can do a piece of work in 12 days which would be done in 6 days by 3 men and 1 boy. How long would it take one man to complete it?
Answer» 40. One man and two boys can do a piece of work in 12 days which would be done in 6 days by 3 men and 1 boy. How long would it take one man to complete it?

Discussion

746.	In the given figure ABCD is a square, then the value of 'x' is
Answer» In the given figure ABCD is a square, then the value of 'x' is

Discussion

747.	Let R be a relation defined as R = {(x, y): y = 2x, x is natural number < 5} then Range of R is given as,
Answer» Let R be a relation defined as R = {(x, y): y = 2x, x is natural number < 5} then Range of R is given as,

Discussion

748.	Which one of the following numbers is divisible by 3.
Answer» Which one of the following numbers is divisible by 3.

Discussion

749.	Below given is the pulse count of 40 patients.66, 79, 89, 67, 72, 82, 85, 80, 82, 81, 67, 87, 71, 68, 63, 74, 73, 86, 84, 75, 85, 80, 85, 61, 75, 85, 80, 85, 61, 75, 68, 69, 64, 75, 73, 72, 82, 76, 74, 77.Group the data first in discontinuous class intervals such that one of the class intervals is 70-74.Next, group the data in continuous class intervals such that one of the class intervals is 85-90.Find the second class interval and the corresponding frequency of the class for both the groupings of the data.
Answer» Below given is the pulse count of 40 patients. 66, 79, 89, 67, 72, 82, 85, 80, 82, 81, 67, 87, 71, 68, 63, 74, 73, 86, 84, 75, 85, 80, 85, 61, 75, 85, 80, 85, 61, 75, 68, 69, 64, 75, 73, 72, 82, 76, 74, 77. Group the data first in discontinuous class intervals such that one of the class intervals is 70-74. Next, group the data in continuous class intervals such that one of the class intervals is 85-90. Find the second class interval and the corresponding frequency of the class for both the groupings of the data.

Discussion

750.	The product of two numbers is 1296. If one number is 16 times the others find the numbers.
Answer» The product of two numbers is 1296. If one number is 16 times the others find the numbers.

Discussion

Explore topic-wise InterviewSolutions in .

Construct an isosceles triangle whose altitude is 5 cm and whose vertex angle is 70°.

Simplify:(4x+3y)(4x−3y)

List price of a washing machine is Rs. 9000. If the dealer allows a discount of 5% on the cash payment, how much money will a customer pay to the dealer in cash, if the rate of VAT is 10%.

Determine the range for -68, 85, 55, 148 and 117?

₹ 4000 amount to ₹ 5000 in 8 years. In what time will ₹ 1600 amount to ₹ 2400 at the same rate ?

Parikshit makes a cuboid of plasticine of sides 5cm, 2cm, 5cm. How many such cuboids will he need to form a cube?

An 8 m long cuboidal beam of wood when sliced produces four thousand 1 cm cubes and there is no wastage of wood in this process. If one edge of the beam is 0.5 m, find the third edge.

Draw a net of the solid given in the figure:

Thirty children were asked about the number of hours they watched TV programmes in the previous week. The results were found as follows:1623512584810341228151176328596871412Make a grouped frequency distribution table for this data, taking class width as 5 and one of the class intervals as 5- 10.

EdWear has printing facilities in y cities. Each city has two factories. If each factory has 5 T- shirt printing machines. How many machines are there in total?

Let a,b anc be real numbers such that a-7b+8c=4 and 8a+4b-c=7 then the value of a^2-b^2+c^2is:

The volume of a rectangular block of stone is 10368 m3. If its length, breadth and height are in the ratio 3 : 2 : 1, then its length, breadth and height are

For which of the following linear equation(s) is x=6 a solution?

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

ntshow that square of an odd integer is of the form 4q+1 for the some integer qn

The bar graph below shows the sales of newspapers (in millions) in six branches of a publishing company for the years 2013 and 2014. i)What is the average sales of all the branches (in millions) for the year 2014? ii) What is the total sales in the brances NP1, NP3 and NP5 for both years?

Diagonals of a/an ___ necessarily bisect the opposite angles.

In a stationary wave represented by y = 2acos(kx)sin(ωt) the intensity at a certain point is maximum when(1)cos(kx) is maximum(2)cos(kx) is minimum(3)sin(ωt) is maximum(4)sin(ωt) is minimum

A, B and C can do a piece of work in 6 days, 12 days and 24 days respectively. In what time will they all together do it?

If A and\:B can together do a work in 14 days and A alone can do it in 9 days then in how many days can B do it alone?

32. A tree of 6m height casrs a 4m long shadow,At the same time,a flag post cast a shadow 50m long.The height of post is?

The spatial orientation of sp3d3 hybrid orbitals is:

The diameters of a circle are along 2x+y−7=0 and x+3y−11=0 Then the equation of this circle, which also passes through (5,7) is

Find the median of the following data. Class interval100−110110−120120−130130−140140−150Frequency6914219

if the points A(6,1),B(8,2),C(9,4) and D(p,3) are the vertices of a parallelogram , taken in order , find the value of P

Question 39.If the present age of Ramandeep is n years, then her age after 7 years will be ___ .

Question 1(vi)Find the cube root of each of the following numbers by prime factorization method:13824

(3y+8)2=9y2+ +64

Find the cube root by prime factorization:(i) 10648; (ii) 46656; (iii) 15625.

Identify the number of triangles in the given figure.

Separate the constants and variables from the following:

A shopkeeper marks his goods at 40% above the cost price but allows a discount of 5% for cash payment to his customers. What actual profit does he make if he receives Rs. 1064 after paying the discount?

Question 99State whether the statements are True or False.Triangle is a polygon whose sum of exterior angles is double the sum of interior angles.

Question 10 The number of boys and girls in a class are in the ratio7:5.The number of boys is 8 more than the number of girls. What is the total class strength?

If A=[3−6a−2] is an idempotent matrix, then which of the following is/are TRUE

In the figure, QT ⊥ PR, ∠TQR = 40° and ∠SPR = 30°. Find ∠TRS and ∠PSQ

Draw a histogram to represent the following information: Marks 0 − 10 10 − 30 30 − 45 45 − 50 50 − 60 Number of students 8 32 18 10 6

1200 soldiers in a fort had enough food for 28 days. after 4 days some soldiers were sent to another fort and thus the food lasted for 32 more days. how many soldiers left the fort?

In what time will the simple interest on a certain sum be 0.24 times the principal at 12% per annum?

Question 2 Mrs Kaushik has a square plot with the measurement as shown in the figure. She wants to construct a house in the middle of the plot with the dimensions 20m× 15m. A garden is developed around the house.Find the total cost of developing a garden around the house at the rate of 55 per m2.

Numbers from 1 to 10 are each written on ten separate slips (one number on one slip), kept in a box and mixed well. One slip is randomly chosen from the box. What is the probability of the number chosen being less than 6?

In a lottery,there are 5 prized tickets and 995 blank tickets. A person buys a lottery ticket . Find the probability of his winning a prize

40. One man and two boys can do a piece of work in 12 days which would be done in 6 days by 3 men and 1 boy. How long would it take one man to complete it?

In the given figure ABCD is a square, then the value of 'x' is

Let R be a relation defined as R = {(x, y): y = 2x, x is natural number &lt; 5} then Range of R is given as,

Which one of the following numbers is divisible by 3.

The product of two numbers is 1296. If one number is 16 times the others find the numbers.

Let R be a relation defined as R = {(x, y): y = 2x, x is natural number < 5} then Range of R is given as,