25365 + Interview Questions in Mathematics Page 169 InterviewSolution

8401.	A boy buys 9 apples for Rs.9.60 and sells them at 11 for Rs.12. Find his gain or loss percent.
Answer» A boy buys $9$ apples for $R s . 9.60$ and sells them at $11$ for $R s . 12$ . Find his gain or loss percent.

Discussion

8402.	What is parallelogram?
Answer» What is parallelogram?

Discussion

8403.	Question 55 In a histogram, ___ are drawn with width equal to a class interval without leaving any gap in between.
Answer» Question 55 In a histogram, ___ are drawn with width equal to a class interval without leaving any gap in between.

8403.

Question 55 In a histogram, ___ are drawn with width equal to a class interval without leaving any gap in between.

Answer»

Question 55

In a histogram, ___ are drawn with width equal to a class interval without leaving any gap in between.

Discussion

8404.	Draw the perpendicular bisector of a line segment which is 8 cm long.
Answer» Draw the perpendicular bisector of a line segment which is 8 cm long.

Discussion

8405.	Draw the net view diagram of a square pyramid ?
Answer» Draw the net view diagram of a square pyramid ?

Discussion

8406.	Delta U = q- w represents closed systems then for open system what should be the equation ?
Answer» Delta U = q- w represents closed systems then for open system what should be the equation ?

Discussion

8407.	Question 7(ii)Using a2−b2=(a+b)(a−b), find(1.02)2−(0.98)2
Answer» Question 7(ii) Using $a^{2} - b^{2} = (a + b) (a - b),$ find $(1.02)^{2} - (0.98)^{2}$

Discussion

8408.	Express 4.95×105 in usual form.
Answer» Express $4.95 \times 10^{5}$ in usual form.

Discussion

8409.	Study the given pie-charts carefully to answer the questions that follow: Break-up of the employees working in different departments Total number of employees = 3,600 Break-up of the number of males in each department Total number of Males in the organization = 2,040 Break-up of the number of employees who recently got promoted in each department Total number of employees who got promoted = 1,200 The number of employees who got promoted from HR department was what percent of the total number of employees working in that department (rounded off to two digits after decimal)?
Answer» Study the given pie-charts carefully to answer the questions that follow: Break-up of the employees working in different departments Total number of employees = 3,600 Break-up of the number of males in each department Total number of Males in the organization = 2,040 Break-up of the number of employees who recently got promoted in each department Total number of employees who got promoted = 1,200 The number of employees who got promoted from HR department was what percent of the total number of employees working in that department (rounded off to two digits after decimal)?

Discussion

8410.	Evaluate: {(13)−3−(12)−3}÷(14)−3
Answer» Evaluate: ${{(\frac{1}{3})}^{- 3} - {(\frac{1}{2})}^{- 3}} \div {(\frac{1}{4})}^{- 3}$

Discussion

8411.	If only 10 of the 200 apples are bad, what percent is good?
Answer» If only 10 of the 200 apples are bad, what percent is good?

Discussion

8412.	The present age of Aman's mother is three times the present age of Aman. After nine years, sum of their ages will be 70 years. Find the present age of Aman and his mother.
Answer» The present age of Aman's mother is three times the present age of Aman. After nine years, sum of their ages will be 70 years. Find the present age of Aman and his mother.

Discussion

8413.	The wavelength of the matter was given by λ=h/p has physical significance; its phase velocity v_p has no physical significance. However, the group velocity of the matter wave is physically meaningful and equals the velocity of the particle. What does these lines mean?
Answer» The wavelength of the matter was given by λ=h/p has physical significance; its phase velocity v_p has no physical significance. However, the group velocity of the matter wave is physically meaningful and equals the velocity of the particle. What does these lines mean?

Discussion

8414.	Question 28 The factors of x2−4 are a) (x−2),(x−2) b) (x+2),(x−2) c) (x+2),(x+2) d) (x−4),(x−4)
Answer» Question 28 The factors of $x^{2} - 4$ are a) $(x - 2), (x - 2)$ b) $(x + 2), (x - 2)$ c) $(x + 2), (x + 2)$ d) $(x - 4), (x - 4)$

Discussion

8415.	By what number should 81 be divided to get a perfect cube?
Answer» By what number should 81 be divided to get a perfect cube?

Discussion

8416.	Find the measurement of the side of a cubical box with volume 2744 cm3. Note: Numbers on slider are in cm.14
Answer» Find the measurement of the side of a cubical box with volume 2744 cm³. Note: Numbers on slider are in cm. 14

Discussion

8417.	Write the formula for resistance of a wire of length l and cross-section A.
Answer» Write the formula for resistance of a wire of length l and cross-section A.

Discussion

8418.	For which of the values of n, (n−4)! is defined?
Answer» For which of the values of $n,$ $(n - 4)!$ is defined?

Discussion

8419.	In each of the following figure, find the value of x:
Answer» In each of the following figure, find the value of x:

8419.

In each of the following figure, find the value of x:

Answer»

In each of the following figure, find the value of x:

Discussion

8420.	A shopkeeper sells his goods at 80% of their cost price. Find his percent gain or loses?
Answer» A shopkeeper sells his goods at 80% of their cost price. Find his percent gain or loses?

Discussion

8421.	Question 30.'8 more than three times the number x' can be written as ___ .
Answer» Question 30. '8 more than three times the number x' can be written as ___ .

8421.

Question 30.'8 more than three times the number x' can be written as ___ .

Answer»

Question 30.

'8 more than three times the number x' can be written as ___ .

Discussion

8422.	What is the volume of a cone of height h and radius h2.
Answer» What is the volume of a cone of height h and radius $\frac{h}{2}$ .

Discussion

8423.	Factorise the following expression:5x2y−15xy2
Answer» Factorise the following expression: $5 x^{2} y - 15 x y^{2}$

Discussion

8424.	Construct a rhombus ABCD with side AB = 4.5 cm and diagonal AC = 6 cm.
Answer» Construct a rhombus ABCD with side AB = 4.5 cm and diagonal AC = 6 cm.

Discussion

8425.	Can we draw a quadrilateral ABCD with following measurements: AB = 3cm, BC = 5cm, AD = 4cm, CD= 7cm and BD=8cm?
Answer» Can we draw a quadrilateral ABCD with following measurements: AB = 3cm, BC = 5cm, AD = 4cm, CD= 7cm and BD=8cm?

Discussion

8426.	Plot the points (x, y) given in the following table on the plane, choosing suitable units of distance on the axes.x−2−103y87−1.25−1
Answer» Plot the points (x, y) given in the following table on the plane, choosing suitable units of distance on the axes. $\begin{matrix} x & - 2 & - 1 & 0 & 3 y & 8 & 7 & - 1.25 & - 1 \end{matrix}$

8426.

Plot the points (x, y) given in the following table on the plane, choosing suitable units of distance on the axes.x−2−103y87−1.25−1

Answer»

Plot the points (x, y) given in the following table on the plane, choosing suitable units of distance on the axes.

$\begin{matrix} x & - 2 & - 1 & 0 & 3 y & 8 & 7 & - 1.25 & - 1 \end{matrix}$

Discussion

8427.	Monu's father is 26 years younger than Monu's grandfather and 29 years older than Monu. The sum of the ages of all the three is 135 years. What is the age of each one of them ?
Answer» Monu's father is 26 years younger than Monu's grandfather and 29 years older than Monu. The sum of the ages of all the three is 135 years. What is the age of each one of them ?

Discussion

8428.	Question 84 The reciprocal of x−1 is 1x
Answer» Question 84 The reciprocal of $x^{- 1}$ is $\frac{1}{x}$

Discussion

8429.	If the sun n terms of an A.P is (pn+qn2), where p and q are constants, then find the common difference.
Answer» If the sun $n$ terms of an A.P is $(p n + q n^{2})$ , where $p$ and $q$ are constants, then find the common difference.

Discussion

8430.	Which of the following collection is not a set?
Answer» Which of the following collection is not a set?

Discussion

8431.	Question 2(x)Factorise the following expressionsax2y+bxy2+cxyz
Answer» Question 2(x) Factorise the following expressions $a x^{2} y + b x y^{2} + c x y z$

Discussion

8432.	Select all the numbers that are surds:
Answer» Select all the numbers that are surds:

Discussion

8433.	Let ABCD be a quadrilateral in which ∠A = ∠C, and ∠B = ∠D. Prove that ABCD is a parallelogram.
Answer» Let ABCD be a quadrilateral in which ∠A = ∠C, and ∠B = ∠D. Prove that ABCD is a parallelogram.

Discussion

8434.	Show that :(i) (3x+7)2−84x=(3x−7)2(ii) (4pq+3q)2−(4pq−3q)2=48pq2(iii) (a−b)(a+b)+(b−c)(b+c)+(c−a)(c+a)=0
Answer» Show that : $(i) {(3 x + 7)}^{2} - 84 x = {(3 x - 7)}^{2}$ $(i i) {(4 p q + 3 q)}^{2} - {(4 p q - 3 q)}^{2} = 48 p q^{2}$ $(i i i) (a - b) (a + b) + (b - c) (b + c) + (c - a) (c + a) = 0$

Discussion

8435.	Four alternative options are given for each of the following statements. Select the correct option. The height of a rectangle in a histogram represents: A. class interval B. midpoint C. frequency density D. frequency
Answer» Four alternative options are given for each of the following statements. Select the correct option. The height of a rectangle in a histogram represents: A. class interval B. midpoint C. frequency density D. frequency

8435.

Four alternative options are given for each of the following statements. Select the correct option. The height of a rectangle in a histogram represents: A. class interval B. midpoint C. frequency density D. frequency

Answer»

Four alternative options are given for each of the following statements. Select the correct option.

The height of a rectangle in a histogram represents:

A. class interval

B. midpoint

C. frequency density

D. frequency

Discussion

8436.	Anil can do a piece of work in 5 days and Ankur in 4 days. How long wil they take to do the same work, if they work together?
Answer» Anil can do a piece of work in 5 days and Ankur in 4 days. How long wil they take to do the same work, if they work together?

Discussion

8437.	Find the solution to the following system of linear equations: 2p+3q=9 p - q = 2
Answer» Find the solution to the following system of linear equations: 2p+3q=9 p - q = 2

Discussion

8438.	The perpendicular from A on side BC of a ΔABC intersects BC at D such that DB = 3CD .Prove that 2AB2=2AC2+BC2.
Answer» The perpendicular from A on side BC of a $Δ A B C$ intersects BC at D such that DB = 3CD .Prove that $2 A B^{2} = 2 A C^{2} + B C^{2}$ .

Discussion

8439.	Sir I actually questions with solutions so that I could refer or verify the answer
Answer» Sir I actually questions with solutions so that I could refer or verify the answer

Discussion

8440.	Question 5A VCR and TV were bought for Rs 8,000 each. The shopkeeper made a loss of 4% on the VCR and a profit of 8% on the TV. Find the gain or loss percent on the whole transaction.
Answer» Question 5 A VCR and TV were bought for Rs 8,000 each. The shopkeeper made a loss of 4% on the VCR and a profit of 8% on the TV. Find the gain or loss percent on the whole transaction.

Discussion

8441.	If β is the angle subtended at the center and α is the angle subtended at a point on the circumference of the circle, then α=
Answer» If $β$ is the angle subtended at the center and $α$ is the angle subtended at a point on the circumference of the circle, then $α =$

Discussion

8442.	Which of the following is the front view of the given figure?
Answer» Which of the following is the front view of the given figure?

Discussion

8443.	If the adjacent sides of a parallelogram is in the ratio is 2:3 and the perimeter is 50 units, find the sides of the parallelogram
Answer» If the adjacent sides of a parallelogram is in the ratio is 2:3 and the perimeter is 50 units, find the sides of the parallelogram

Discussion

8444.	For the equation: 3z+72 = 52, Find the value of z.
Answer» For the equation: $3 z + \frac{7}{2}$ = $\frac{5}{2}$ , Find the value of z.

Discussion

8445.	Write the quotient and remainder when we divide. (2x3−5x2+8x−5) by (2x2−3x+5)
Answer» Write the quotient and remainder when we divide. $(2 x^{3} - 5 x^{2} + 8 x - 5)$ by $(2 x^{2} - 3 x + 5)$

8445.

Write the quotient and remainder when we divide. (2x3−5x2+8x−5) by (2x2−3x+5)

Answer»

Write the quotient and remainder when we divide.

$(2 x^{3} - 5 x^{2} + 8 x - 5)$ by $(2 x^{2} - 3 x + 5)$

Discussion

8446.	Question 5Construct a ΔABC in which BC =5cm, ∠B=60∘ and AC + AB = 7.5cm.
Answer» Question 5 Construct a $Δ A B C$ in which BC =5cm, $∠ B = 60^{\circ}$ and AC + AB = 7.5cm.

Discussion

8447.	A can finish a piece of work in 15 days and B can do it in 10 days. They worked together for 2 days and then B goes away. In how many days will A finish the remaining work?
Answer» $A$ can finish a piece of work in $15$ days and $B$ can do it in $10$ days. They worked together for $2$ days and then $B$ goes away. In how many days will $A$ finish the remaining work?

Discussion

8448.	The simple interest on a certain sum of money for 3 years at 6% per annum is ₹ 432. Find the principal.
Answer» The simple interest on a certain sum of money for 3 years at $6 %$ per annum is ₹ 432. Find the principal.

Discussion

8449.	If the angles of a triangle are in the ratio 2:3:5, then find the smallest angle.
Answer» If the angles of a triangle are in the ratio 2:3:5, then find the smallest angle.

Discussion

8450.	Using divisibility test, determine whether the given number is divisible by 11:10824
Answer» Using divisibility test, determine whether the given number is divisible by 11: 10824

Discussion

Explore topic-wise InterviewSolutions in .

A boy buys 9 apples for Rs.9.60 and sells them at 11 for Rs.12. Find his gain or loss percent.

What is parallelogram?

Question 55 In a histogram, ___ are drawn with width equal to a class interval without leaving any gap in between.

Draw the perpendicular bisector of a line segment which is 8 cm long.

Draw the net view diagram of a square pyramid ?

Delta U = q- w represents closed systems then for open system what should be the equation ?

Question 7(ii)Using a2−b2=(a+b)(a−b), find(1.02)2−(0.98)2

Express 4.95×105 in usual form.

Evaluate: {(13)−3−(12)−3}÷(14)−3

If only 10 of the 200 apples are bad, what percent is good?

The present age of Aman's mother is three times the present age of Aman. After nine years, sum of their ages will be 70 years. Find the present age of Aman and his mother.

The wavelength of the matter was given by λ=h/p has physical significance; its phase velocity v_p has no physical significance. However, the group velocity of the matter wave is physically meaningful and equals the velocity of the particle. What does these lines mean?

Question 28 The factors of x2−4 are a) (x−2),(x−2) b) (x+2),(x−2) c) (x+2),(x+2) d) (x−4),(x−4)

By what number should 81 be divided to get a perfect cube?

Find the measurement of the side of a cubical box with volume 2744 cm3. Note: Numbers on slider are in cm.14

Write the formula for resistance of a wire of length l and cross-section A.

For which of the values of n, (n−4)! is defined?

In each of the following figure, find the value of x:

A shopkeeper sells his goods at 80% of their cost price. Find his percent gain or loses?

Question 30.'8 more than three times the number x' can be written as ___ .

What is the volume of a cone of height h and radius h2.

Factorise the following expression:5x2y−15xy2

Construct a rhombus ABCD with side AB = 4.5 cm and diagonal AC = 6 cm.

Can we draw a quadrilateral ABCD with following measurements: AB = 3cm, BC = 5cm, AD = 4cm, CD= 7cm and BD=8cm?

Plot the points (x, y) given in the following table on the plane, choosing suitable units of distance on the axes.x−2−103y87−1.25−1

Monu's father is 26 years younger than Monu's grandfather and 29 years older than Monu. The sum of the ages of all the three is 135 years. What is the age of each one of them ?

Question 84 The reciprocal of x−1 is 1x

If the sun n terms of an A.P is (pn+qn2), where p and q are constants, then find the common difference.

Which of the following collection is not a set?

Question 2(x)Factorise the following expressionsax2y+bxy2+cxyz

Select all the numbers that are surds:

Let ABCD be a quadrilateral in which ∠A = ∠C, and ∠B = ∠D. Prove that ABCD is a parallelogram.

Show that :(i) (3x+7)2−84x=(3x−7)2(ii) (4pq+3q)2−(4pq−3q)2=48pq2(iii) (a−b)(a+b)+(b−c)(b+c)+(c−a)(c+a)=0

Four alternative options are given for each of the following statements. Select the correct option. The height of a rectangle in a histogram represents: A. class interval B. midpoint C. frequency density D. frequency

Anil can do a piece of work in 5 days and Ankur in 4 days. How long wil they take to do the same work, if they work together?

Find the solution to the following system of linear equations: 2p+3q=9 p - q = 2

The perpendicular from A on side BC of a ΔABC intersects BC at D such that DB = 3CD .Prove that 2AB2=2AC2+BC2.

Sir I actually questions with solutions so that I could refer or verify the answer

Question 5A VCR and TV were bought for Rs 8,000 each. The shopkeeper made a loss of 4% on the VCR and a profit of 8% on the TV. Find the gain or loss percent on the whole transaction.

If β is the angle subtended at the center and α is the angle subtended at a point on the circumference of the circle, then α=

Which of the following is the front view of the given figure?

If the adjacent sides of a parallelogram is in the ratio is 2:3 and the perimeter is 50 units, find the sides of the parallelogram

For the equation: 3z+72 = 52, Find the value of z.

Write the quotient and remainder when we divide. (2x3−5x2+8x−5) by (2x2−3x+5)

Question 5Construct a ΔABC in which BC =5cm, ∠B=60∘ and AC + AB = 7.5cm.

A can finish a piece of work in 15 days and B can do it in 10 days. They worked together for 2 days and then B goes away. In how many days will A finish the remaining work?

The simple interest on a certain sum of money for 3 years at 6% per annum is ₹ 432. Find the principal.

If the angles of a triangle are in the ratio 2:3:5, then find the smallest angle.

Using divisibility test, determine whether the given number is divisible by 11:10824