25365 + Interview Questions in Mathematics Page 103 InterviewSolution

5101.	Exponent of 6 in 500! is(1) 247(2) 245(3) 240(4) 316
Answer» Exponent of 6 in 500! is (1) 247 (2) 245 (3) 240 (4) 316

Discussion

5102.	Question 109 (ii) At a toy shop price of all the toys is reduced to 66 % of the original price. How much money would you save on a toy costing Rs. 90 ?
Answer» Question 109 (ii) At a toy shop price of all the toys is reduced to 66 % of the original price. How much money would you save on a toy costing Rs. 90 ?

5102.

Question 109 (ii) At a toy shop price of all the toys is reduced to 66 % of the original price. How much money would you save on a toy costing Rs. 90 ?

Answer»

Question 109 (ii)

At a toy shop price of all the toys is reduced to 66 % of the original price. How much money would you save on a toy costing Rs. 90 ?

Discussion

5103.	The ages(in years) of Ram and Shyam are in the ration 5:7. If Ram is 9 years older and Shyam is 9 years younger, the age of Ram would have been twice the age of Shyam. Find their ages
Answer» The ages(in years) of Ram and Shyam are in the ration 5:7. If Ram is 9 years older and Shyam is 9 years younger, the age of Ram would have been twice the age of Shyam. Find their ages

Discussion

5104.	Area of the shaded region in the figure shown above is
Answer» Area of the shaded region in the figure shown above is

5104.

Area of the shaded region in the figure shown above is

Answer»

Area of the shaded region in the figure shown above is

Discussion

5105.	Solve:
Answer» Solve:

Discussion

5106.	Show that the perpendiculars drawn from the vertices of the base of an isosceles triangle to the opposite sides are equal.
Answer» Show that the perpendiculars drawn from the vertices of the base of an isosceles triangle to the opposite sides are equal.

Discussion

5107.	How many cubes of 10 cm edge can be put in a cubical box of 1 m edge? (a) 10 (b) 100 (c) 1000 (d) 10000
Answer» How many cubes of 10 cm edge can be put in a cubical box of 1 m edge? (a) 10 (b) 100 (c) 1000 (d) 10000

5107.

How many cubes of 10 cm edge can be put in a cubical box of 1 m edge? (a) 10 (b) 100 (c) 1000 (d) 10000

Answer»

How many cubes of 10 cm edge can be put in a cubical box of 1 m edge?

(a) 10

(b) 100

(c) 1000

(d) 10000

Discussion

5108.	Question 106 (i) The students of Anuj's class sold posters to raise money. Anuj wanted to create a ratio for finding the amount of money her class would make for different numbers of posters sold. She knew they could raise ₹ 250 for every 60 posters sold. How much money would Anu's class make for selling 102 posters?
Answer» Question 106 (i) The students of Anuj's class sold posters to raise money. Anuj wanted to create a ratio for finding the amount of money her class would make for different numbers of posters sold. She knew they could raise ₹ 250 for every 60 posters sold. How much money would Anu's class make for selling 102 posters?

5108.

Question 106 (i) The students of Anuj's class sold posters to raise money. Anuj wanted to create a ratio for finding the amount of money her class would make for different numbers of posters sold. She knew they could raise ₹ 250 for every 60 posters sold. How much money would Anu's class make for selling 102 posters?

Answer»

Question 106 (i)

The students of Anuj's class sold posters to raise money. Anuj wanted to create a ratio for finding the amount of money her class would make for different numbers of posters sold. She knew they could raise ₹ 250 for every 60 posters sold.
How much money would Anu's class make for selling 102 posters?

Discussion

5109.	A standing wave having 11 nodes and 10 antinodesis formed between two atoms having a distance of4.0 A between them. The wavelength of thestanding wave is(2) 0.8. A(1) 2.0 A(3) 0.4 A(4) 1.0 A
Answer» A standing wave having 11 nodes and 10 antinodesis formed between two atoms having a distance of4.0 A between them. The wavelength of thestanding wave is(2) 0.8. A(1) 2.0 A(3) 0.4 A(4) 1.0 A

Discussion

5110.	Find the square root of 477.4225. [4 MARKS]
Answer» Find the square root of $477.4225.$ [ $4$ MARKS]

Discussion

5111.	In the given figure, ABCD and AEFG are two parallelograms. If ∠C = 58°, find ∠F.
Answer» In the given figure, ABCD and AEFG are two parallelograms. If ∠C = 58°, find ∠F.

Discussion

5112.	A dealer sold a camera for Rs. 1080 gaining 18of its cost price . Find (i)~the cost price of the camera, and (ii) the gaon per cet earned by the dealer.
Answer» $A dealer sold a camera for Rs. 1080 gaining \frac{1}{8} of its cost price . Find (i)~the cost price of the camera, and (ii) the gaon per cet earned by the dealer.$

Discussion

5113.	If Krish earns ₹24,80,000 per annum, and his age is 32 years, how much income tax (including Education cess and Secondary education secc) does he has to pay?
Answer» If Krish earns ₹24,80,000 per annum, and his age is 32 years, how much income tax (including Education cess and Secondary education secc) does he has to pay?

Discussion

5114.	The population of a city is 155625. For every 1000 men, there are 1075 women. If 40% of men and 24% of women are literate, then what is the percentage of literate people in the city?
Answer» The population of a city is 155625. For every 1000 men, there are 1075 women. If $40 %$ of men and $24 %$ of women are literate, then what is the percentage of literate people in the city?

Discussion

5115.	Question 61Sum of all the central angles in a pie chart is 360∘.
Answer» Question 61 Sum of all the central angles in a pie chart is $360^{\circ}$ .

5115.

Question 61Sum of all the central angles in a pie chart is 360∘.

Answer»

Question 61

Sum of all the central angles in a pie chart is $360^{\circ}$ .

Discussion

5116.	The value of a machinery is ₹10000, which is depreciating at the rate of 15% annually. What will be the value of the machinery after 2 years in rupees? __
Answer» The value of a machinery is ₹10000, which is depreciating at the rate of 15% annually. What will be the value of the machinery after 2 years in rupees? __

Discussion

5117.	Question 55(ii) Study the graph given below of a person who started from his home and returned at the end of the day. Answer the questions that follow. How much distance did he travel in the first four hours of the journey?
Answer» Question 55(ii) Study the graph given below of a person who started from his home and returned at the end of the day. Answer the questions that follow. How much distance did he travel in the first four hours of the journey?

Discussion

5118.	64. The side of a cube is x+3 find its volume in the form of px=ax³+bx²+cx+d
Answer» 64. The side of a cube is x+3 find its volume in the form of px=ax³+bx²+cx+d

Discussion

5119.	ABCD is the square and AO is the angle bisector of ∠DAB. Find angle ∠AOB.
Answer» $A B C D$ is the square and $A O$ is the angle bisector of $∠ D A B$ . Find angle $∠ A O B$ .

Discussion

5120.	Identify exterior diagonals in the figure.
Answer» Identify exterior diagonals in the figure.

5120.

Identify exterior diagonals in the figure.

Answer»

Identify exterior diagonals in the figure.

Discussion

5121.	The multiplication of −512 and 78 is ___
Answer» The multiplication of $\frac{- 5}{12}$ and $\frac{7}{8}$ is ___

Discussion

5122.	There is an error of ± 0.04cm in the measurement of the diameter of a sphere. When the radius is 10cm,the percentage error in the volume of the sphere is
Answer» There is an error of $\pm$ 0.04cm in the measurement of the diameter of a sphere. When the radius is 10cm,the percentage error in the volume of the sphere is

Discussion

5123.	What do we call a system of equations that don't have a solution?
Answer» What do we call a system of equations that don't have a solution?

Discussion

5124.	Question 1In the given figure, ABCD is parallelogram, AE⊥DC and CF⊥AD. If AB = 16 cm, AE = 8 cm and CF = 10 cm, find AD.
Answer» Question 1 In the given figure, ABCD is parallelogram, $A E ⊥ D C$ and $C F ⊥ A D$ . If AB = 16 cm, AE = 8 cm and CF = 10 cm, find AD.

Discussion

5125.	Find the least number which must be added to 18, 265 to obtain a perfect square.
Answer» Find the least number which must be added to 18, 265 to obtain a perfect square.

Discussion

5126.	The number of arbitrary constants in a particular solution of the differential equation tan x dx + tan y dy = 0 is __________________.
Answer» The number of arbitrary constants in a particular solution of the differential equation tan x dx + tan y dy = 0 is __________________.

Discussion

5127.	If A,B,C are non empty subsets of a set,then (A-B)U(B-A) equal
Answer» If A,B,C are non empty subsets of a set,then (A-B)U(B-A) equal

Discussion

5128.	The solution of sec 4θ = - 2 is
Answer» The solution of sec 4θ = - 2 is

Discussion

5129.	AB is a line of length 6 cm. Construct a line perpendicular to the line segment AB and passing throght any point P lying on AB.
Answer» AB is a line of length 6 cm. Construct a line perpendicular to the line segment AB and passing throght any point P lying on AB.

Discussion

5130.	In the given figure, sides AB and CD of the quadrilateral ABCD are produced. Find the value of x.
Answer» In the given figure, sides AB and CD of the quadrilateral ABCD are produced. Find the value of $x$ .

Discussion

5131.	The difference between the ages of two cousins is 10 years. 15 years ago, if the elder one was twice as old as the younger one, find their present ages.
Answer» The difference between the ages of two cousins is 10 years. 15 years ago, if the elder one was twice as old as the younger one, find their present ages.

Discussion

5132.	Question 88 (ii) Factorise the following expression. (−xy −ay)
Answer» Question 88 (ii) Factorise the following expression. $(- x y - a y)$

Discussion

5133.	Which of these numbers is the largest?
Answer» Which of these numbers is the largest?

Discussion

5134.	Find the number of 5 letter words, with or without meaning, which can be formed out of the letters of the word AUGUST, where the repetition of the letters is not allowed.
Answer» Find the number of $5$ letter words, with or without meaning, which can be formed out of the letters of the word $A U G U S T,$ where the repetition of the letters is not allowed.

Discussion

5135.	Evaluate: √33.64
Answer» Evaluate: $\sqrt{33.64}$

Discussion

5136.	Find the next term in the following pattern 6789, 8014, 9239, 10464, ?
Answer» Find the next term in the following pattern 6789, 8014, 9239, 10464, ?

Discussion

5137.	36p^2 -12p +10/3p -1
Answer» 36p^2 -12p +10/3p -1

Discussion

5138.	After a 20% hike, the cost of Chinese Vase is Rs. 2000. What was the original price of the object?
Answer» After a 20% hike, the cost of Chinese Vase is Rs. 2000. What was the original price of the object?

Discussion

5139.	Look for examples of polygons in your surroundings. Draw them.
Answer» Look for examples of polygons in your surroundings. Draw them.

Discussion

5140.	Question 1(ii) Carry out the division. −36y3÷9y2
Answer» Question 1(ii) Carry out the division. $- 36 y^{3} \div 9 y^{2}$

Discussion

5141.	The following table gives the marks scored by 100 students in an entrance examination. Mark0−1010−2020−3030−4040−5050−6060−7070−80No. of Students (Frequency):4101622201882 Represent the data in the form of a histogram [4 MARKS]
Answer» The following table gives the marks scored by 100 students in an entrance examination. $\begin{matrix} Mark & 0 - 10 & 10 - 20 & 20 - 30 & 30 - 40 & 40 - 50 & 50 - 60 & 60 - 70 & 70 - 80 No. of Students (Frequency): & 4 & 10 & 16 & 22 & 20 & 18 & 8 & 2 \end{matrix}$ Represent the data in the form of a histogram [4 MARKS]

Discussion

5142.	You are told that 1,331 is a perfect cube. Can you guess without factorisation what is its cube root? Similarly, guess the cube roots of 32768.
Answer» You are told that 1,331 is a perfect cube. Can you guess without factorisation what is its cube root? Similarly, guess the cube roots of 32768.

Discussion

5143.	Question 125 Solve the following question: A General wishes to draw up his 7500 soldiers in the form of a square. After arranging, he found out that some of them are left out. How many soldiers were left out?
Answer» Question 125 Solve the following question: A General wishes to draw up his 7500 soldiers in the form of a square. After arranging, he found out that some of them are left out. How many soldiers were left out?

5143.

Question 125 Solve the following question: A General wishes to draw up his 7500 soldiers in the form of a square. After arranging, he found out that some of them are left out. How many soldiers were left out?

Answer»

Question 125

Solve the following question:

A General wishes to draw up his 7500 soldiers in the form of a square. After arranging, he found out that some of them are left out. How many soldiers were left out?

Discussion

5144.	Question 144Fill in the blanks.
Answer» Question 144 Fill in the blanks.

5144.

Question 144Fill in the blanks.

Answer»

Question 144

Fill in the blanks.

Discussion

5145.	33. Water pouring into a cuboidal tank at the rate of 15 per minute if the capacity of the tank is 90 M cube then total number of hours in which the reservior will be full is
Answer» 33. Water pouring into a cuboidal tank at the rate of 15 per minute if the capacity of the tank is 90 M cube then total number of hours in which the reservior will be full is

Discussion

5146.	Write the rationalising factor of the denominator in 12+3.
Answer» Write the rationalising factor of the denominator in $\frac{1}{\sqrt{2} + \sqrt{3}}$ .

Discussion

5147.	Question 122A mother and her two daughters got a room constructed for Rs. 62000. The elder daughter contributes 38 of her mother's contribution while the younger daughter contributes 12 of her mother's share. How much do the three contribute individually?
Answer» Question 122 A mother and her two daughters got a room constructed for Rs. 62000. The elder daughter contributes $\frac{3}{8}$ of her mother's contribution while the younger daughter contributes $\frac{1}{2}$ of her mother's share. How much do the three contribute individually?

Discussion

5148.	The total surface area of a cuboid of length l, breadth b and height h is ________.
Answer» The total surface area of a cuboid of length $l$ , breadth $b$ and height $h$ is ________.

Discussion

5149.	A chain of length l and mass m lies on the surface of a smooth sphere of radius R (R > l) with one end tied to the top of the sphere. The tangential acceleration of the chain when the chain starts sliding down is.
Answer» A chain of length l and mass m lies on the surface of a smooth sphere of radius R (R > l) with one end tied to the top of the sphere. The tangential acceleration of the chain when the chain starts sliding down is.

Discussion

5150.	Which of the following is the square of 38?
Answer» Which of the following is the square of 38?

Discussion

Explore topic-wise InterviewSolutions in .

Exponent of 6 in 500! is(1) 247(2) 245(3) 240(4) 316

Question 109 (ii) At a toy shop price of all the toys is reduced to 66 % of the original price. How much money would you save on a toy costing Rs. 90 ?

The ages(in years) of Ram and Shyam are in the ration 5:7. If Ram is 9 years older and Shyam is 9 years younger, the age of Ram would have been twice the age of Shyam. Find their ages

Area of the shaded region in the figure shown above is

Solve:

Show that the perpendiculars drawn from the vertices of the base of an isosceles triangle to the opposite sides are equal.

How many cubes of 10 cm edge can be put in a cubical box of 1 m edge? (a) 10 (b) 100 (c) 1000 (d) 10000

A standing wave having 11 nodes and 10 antinodesis formed between two atoms having a distance of4.0 A between them. The wavelength of thestanding wave is(2) 0.8. A(1) 2.0 A(3) 0.4 A(4) 1.0 A

Find the square root of 477.4225. [4 MARKS]

In the given figure, ABCD and AEFG are two parallelograms. If ∠C = 58°, find ∠F.

A dealer sold a camera for Rs. 1080 gaining 18of its cost price . Find (i)~the cost price of the camera, and (ii) the gaon per cet earned by the dealer.

If Krish earns ₹24,80,000 per annum, and his age is 32 years, how much income tax (including Education cess and Secondary education secc) does he has to pay?

The population of a city is 155625. For every 1000 men, there are 1075 women. If 40% of men and 24% of women are literate, then what is the percentage of literate people in the city?

Question 61Sum of all the central angles in a pie chart is 360∘.

The value of a machinery is ₹10000, which is depreciating at the rate of 15% annually. What will be the value of the machinery after 2 years in rupees? __

Question 55(ii) Study the graph given below of a person who started from his home and returned at the end of the day. Answer the questions that follow. How much distance did he travel in the first four hours of the journey?

64. The side of a cube is x+3 find its volume in the form of px=ax³+bx²+cx+d

ABCD is the square and AO is the angle bisector of ∠DAB. Find angle ∠AOB.

Identify exterior diagonals in the figure.

The multiplication of −512 and 78 is ___

There is an error of ± 0.04cm in the measurement of the diameter of a sphere. When the radius is 10cm,the percentage error in the volume of the sphere is

What do we call a system of equations that don't have a solution?

Question 1In the given figure, ABCD is parallelogram, AE⊥DC and CF⊥AD. If AB = 16 cm, AE = 8 cm and CF = 10 cm, find AD.

Find the least number which must be added to 18, 265 to obtain a perfect square.

The number of arbitrary constants in a particular solution of the differential equation tan x dx + tan y dy = 0 is __________________.

If A,B,C are non empty subsets of a set,then (A-B)U(B-A) equal

The solution of sec 4θ = - 2 is

AB is a line of length 6 cm. Construct a line perpendicular to the line segment AB and passing throght any point P lying on AB.

In the given figure, sides AB and CD of the quadrilateral ABCD are produced. Find the value of x.

The difference between the ages of two cousins is 10 years. 15 years ago, if the elder one was twice as old as the younger one, find their present ages.

Question 88 (ii) Factorise the following expression. (−xy −ay)

Which of these numbers is the largest?

Find the number of 5 letter words, with or without meaning, which can be formed out of the letters of the word AUGUST, where the repetition of the letters is not allowed.

Evaluate: √33.64

Find the next term in the following pattern 6789, 8014, 9239, 10464, ?

36p^2 -12p +10/3p -1

After a 20% hike, the cost of Chinese Vase is Rs. 2000. What was the original price of the object?

Look for examples of polygons in your surroundings. Draw them.

Question 1(ii) Carry out the division. −36y3÷9y2

The following table gives the marks scored by 100 students in an entrance examination. Mark0−1010−2020−3030−4040−5050−6060−7070−80No. of Students (Frequency):4101622201882 Represent the data in the form of a histogram [4 MARKS]

You are told that 1,331 is a perfect cube. Can you guess without factorisation what is its cube root? Similarly, guess the cube roots of 32768.

Question 125 Solve the following question: A General wishes to draw up his 7500 soldiers in the form of a square. After arranging, he found out that some of them are left out. How many soldiers were left out?

Question 144Fill in the blanks.

33. Water pouring into a cuboidal tank at the rate of 15 per minute if the capacity of the tank is 90 M cube then total number of hours in which the reservior will be full is

Write the rationalising factor of the denominator in 12+3.

Question 122A mother and her two daughters got a room constructed for Rs. 62000. The elder daughter contributes 38 of her mother's contribution while the younger daughter contributes 12 of her mother's share. How much do the three contribute individually?

The total surface area of a cuboid of length l, breadth b and height h is ________.

A chain of length l and mass m lies on the surface of a smooth sphere of radius R (R &gt; l) with one end tied to the top of the sphere. The tangential acceleration of the chain when the chain starts sliding down is.

Which of the following is the square of 38?

A chain of length l and mass m lies on the surface of a smooth sphere of radius R (R > l) with one end tied to the top of the sphere. The tangential acceleration of the chain when the chain starts sliding down is.