25365 + Interview Questions in Mathematics Page 228 InterviewSolution

11351.	Solve : 0.25+1.95x=0.9.
Answer» Solve : $0.25 + \frac{1.95}{x} = 0.9.$

Discussion

11352.	Question 160(iv)For each hook-up, determine whether there is a single repeater machine that will do the same work. If so, describe or draw it.
Answer» Question 160(iv) For each hook-up, determine whether there is a single repeater machine that will do the same work. If so, describe or draw it.

11352.

Question 160(iv)For each hook-up, determine whether there is a single repeater machine that will do the same work. If so, describe or draw it.

Answer»

Question 160(iv)

For each hook-up, determine whether there is a single repeater machine that will do the same work. If so, describe or draw it.

Discussion

11353.	729 is a perfect square number, and is a square of .
Answer» $729$ is a perfect square number, and is a square of .

Discussion

11354.	Using a suitable identity, the value of (1 – cos2A) cosec2A is
Answer» Using a suitable identity, the value of (1 – cos²A) cosec²A is

Discussion

11355.	A cup is in the shape of a hemisphere of radius 9cm. Find the volume of the cup.
Answer» A cup is in the shape of a hemisphere of radius 9cm. Find the volume of the cup.

Discussion

11356.	In a class number of girls is X and the number of boys is y. also the number of girls is 15 more than the number of boys write the given data in the form of a linear equation in two variables also represent graphically .find graphically the number of girls if the number of boys is 20.
Answer» In a class number of girls is X and the number of boys is y. also the number of girls is 15 more than the number of boys write the given data in the form of a linear equation in two variables also represent graphically .find graphically the number of girls if the number of boys is 20.

Discussion

11357.	If a+b+c = 0 , then evaluate a^3+b^3+c^3
Answer» If a+b+c = 0 , then evaluate a^3+b^3+c^3

Discussion

11358.	A teacher assigns weights for each subject's requirements. For each requirement, the Student's maximum score is 100 and Charles obtains a grade of 84, 75, 85, 80, and 82. What is his average score?
Answer» A teacher assigns weights for each subject's requirements. For each requirement, the Student's maximum score is 100 and Charles obtains a grade of 84, 75, 85, 80, and 82. What is his average score?

Discussion

11359.	Question 11 In the given question, out of four options, only one is correct. Write the correct answer. If the sum of digits of a number is divisible by three, then the number is always divisible by (a) 2 (b) 3 (c) 6 (d) 9
Answer» Question 11 In the given question, out of four options, only one is correct. Write the correct answer. If the sum of digits of a number is divisible by three, then the number is always divisible by (a) 2 (b) 3 (c) 6 (d) 9

Discussion

11360.	A garment dealer allows his customer 10% discount on a marked price of the goods and still gets a profit of 25%. what is the cost price, if a shirt is marked at $1250.
Answer» A garment dealer allows his customer 10% discount on a marked price of the goods and still gets a profit of 25%. what is the cost price, if a shirt is marked at $1250.

Discussion

11361.	If f(x)=(1x)x, then the value of f′′(1) is
Answer» If $f (x) = {(\frac{1}{x})}^{x}$ , then the value of $f^{''} (1)$ is

Discussion

11362.	Three numbers are in the ratio 1 : 2 : 3. The sum of their cubes is 98784. Find the numbers.
Answer» Three numbers are in the ratio 1 : 2 : 3. The sum of their cubes is 98784. Find the numbers.

Discussion

11363.	Solve:
Answer» Solve:

Discussion

11364.	The number of diagonals that can be drawn in a 24 side polygon is -
Answer» The number of diagonals that can be drawn in a 24 side polygon is -

Discussion

11365.	How many numbers lie between squares of the following numbers?(i) 12 and 13(ii) 25and 26(iii) 99 and 100
Answer» How many numbers lie between squares of the following numbers? $(i) 12$ and $13$ $(i i) 25$ and $26$ $(i i i) 99$ and $100$

11365.

How many numbers lie between squares of the following numbers?(i) 12 and 13(ii) 25and 26(iii) 99 and 100

Answer»

How many numbers lie between squares of the following numbers?

$(i) 12$ and $13$

$(i i) 25$ and $26$

$(i i i) 99$ and $100$

Discussion

11366.	SeasonNo. of votesSummer90Rainy120Winter150 A group of 360 people were asked to vote for their favourite season from the three seasons: rainy, winter and summer. Find the central angle of each sector in a pie chart for the above information. [4 MARKS]
Answer» $\begin{matrix} Season & No. of votes Summer & 90 Rainy & 120 Winter & 150 \end{matrix}$ A group of 360 people were asked to vote for their favourite season from the three seasons: rainy, winter and summer. Find the central angle of each sector in a pie chart for the above information. [4 MARKS]

Discussion

11367.	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

11368.	The points A (1, 1), B (-1, 1) and the origin form the vertices of?
Answer» The points A (1, 1), B (-1, 1) and the origin form the vertices of?

Discussion

11369.	30. the centre of the circle passing through the points (h,0),(k,0),(0,h),(0,k) is?
Answer» 30. the centre of the circle passing through the points (h,0),(k,0),(0,h),(0,k) is?

Discussion

11370.	A housing society consisting of 5500 people needs 100 L of water per person per day. The cylindrical supply tank is 7 m high and has a diameter 10 m. For how many days will the water in the tank last for the society?
Answer» A housing society consisting of $5500$ people needs $100 L$ of water per person per day. The cylindrical supply tank is $7 m$ high and has a diameter $10 m$ . For how many days will the water in the tank last for the society?

Discussion

11371.	(a+b)2 =a2+ +b2
Answer» $(a + b)^{2}$ $= a^{2} +$ $+ b^{2}$

Discussion

11372.	Differentiation of y= [(3x+5)^4]/12
Answer» Differentiation of y= [(3x+5)^4]/12

Discussion

11373.	Question 31 In the following question, out of the four options, only one is correct. Write the correct answer. For a non-zero rational numberz,(z−2)3 is equal to: (a) z6 (b) z−6 (c) z1 (d) z4
Answer» Question 31 In the following question, out of the four options, only one is correct. Write the correct answer. For a non-zero rational number $z, (z^{- 2})^{3}$ is equal to: (a) $z^{6}$ (b) $z^{- 6}$ (c) $z^{1}$ (d) $z^{4}$

11373.

Question 31 In the following question, out of the four options, only one is correct. Write the correct answer. For a non-zero rational numberz,(z−2)3 is equal to: (a) z6 (b) z−6 (c) z1 (d) z4

Answer»

Question 31

In the following question, out of the four options, only one is correct. Write the correct answer.

For a non-zero rational number $z, (z^{- 2})^{3}$ is equal to:

(a) $z^{6}$

(b) $z^{- 6}$

(c) $z^{1}$

(d) $z^{4}$

Discussion

11374.	An ellipse is described by using an endless string which passed over two points. If the axes are 6 cm and 4 cm, the length of the string and distance between the points are ___________.
Answer» An ellipse is described by using an endless string which passed over two points. If the axes are 6 cm and 4 cm, the length of the string and distance between the points are ___________.

Discussion

11375.	In a fabric, the ratio of cotton and synthetic is 1:4. What is the percentage of cotton in the fabric?
Answer» In a fabric, the ratio of cotton and synthetic is 1:4. What is the percentage of cotton in the fabric?

Discussion

11376.	Which of the following could be a slope for the line shown below?
Answer» Which of the following could be a slope for the line shown below?

Discussion

11377.	A sum of money is to be distributed among A,B,C, D in the ratio of 5:2:4:3. If C gets Rs1000more than December what is B's share?
Answer» A sum of money is to be distributed among A,B,C, D in the ratio of 5:2:4:3. If C gets Rs1000more than December what is B's share?

Discussion

11378.	Find the compound interest earned on a sum of ₹400 in 2 years at the rate of 25% p.a.225
Answer» Find the compound interest earned on a sum of ₹400 in 2 years at the rate of 25% p.a. 225

Discussion

11379.	Which of the following is the most important public transport for short distances?
Answer» Which of the following is the most important public transport for short distances?

Discussion

11380.	Find the square root of the following numbers in decimal form: 150.0625
Answer» Find the square root of the following numbers in decimal form: 150.0625

11380.

Find the square root of the following numbers in decimal form: 150.0625

Answer»

Find the square root of the following numbers in decimal form:

150.0625

Discussion

11381.	Find the cube roots of the following numbers :(i) 729 (ii) 4913 (iii) 117649
Answer» Find the cube roots of the following numbers : (i) 729 (ii) 4913 (iii) 117649

Discussion

11382.	If ABC and BDE are two equilateral triangles such that D is the mid-point of BC then ar(ΔABC) : ar(BDE) = _________.
Answer» If ABC and BDE are two equilateral triangles such that D is the mid-point of BC then ar(ΔABC) : ar(BDE) = _________.

Discussion

11383.	90. from the point A(6,-8) all possible lines are drawn to cut the x-axis. find the locus of their middle points
Answer» 90. from the point A(6,-8) all possible lines are drawn to cut the x-axis. find the locus of their middle points

Discussion

11384.	If there are more than four terms in a proportion, then the rule of three is termed as ___
Answer» If there are more than four terms in a proportion, then the rule of three is termed as ___

Discussion

11385.	You deposit Rs. 400 in to a bank account paying 5% simple interest per year. How much interest would you have earned after 3 years?
Answer» You deposit Rs. 400 in to a bank account paying $5 %$ simple interest per year. How much interest would you have earned after 3 years?

Discussion

11386.	Find the remainder when f(x)=12x3−13x2−5x+7 is divided by (3x+2)
Answer» $Find the remainder when f (x) = 12 x^{3} - 13 x^{2} - 5 x + 7 is divided by (3 x + 2)$

Discussion

11387.	The value of {83^3 + 17^3} / (83 x 66 + 17^2)
Answer» The value of {83^3 + 17^3} / (83 x 66 + 17^2)

Discussion

11388.	Draw the top, side and front views of the solid figure given below.
Answer» Draw the top, side and front views of the solid figure given below.

Discussion

11389.	Do the addition of a+b–3,b–a+3 and a–b+3
Answer» Do the addition of $a + b - 3, b - a + 3$ and $a - b + 3$

Discussion

11390.	8. Value of cube root of - iota
Answer» 8. Value of cube root of - iota

Discussion

11391.	Factorize a3+1a3?
Answer» Factorize $a^{3} + \frac{1}{a^{3}} ?$

Discussion

11392.	The line x+2y+3=0 cuts the circle x2+y2+4x+4y−1=0 at points P and Q and the line 2x+3y+λ=0 cuts the circle x2+y2+6x+2y−7=0 at points R and S. If P, Q, R and S are concyclic, then the value of λ is
Answer» The line $x + 2 y + 3 = 0$ cuts the circle $x^{2} + y^{2} + 4 x + 4 y - 1 = 0$ at points $P$ and $Q$ and the line $2 x + 3 y + λ = 0$ cuts the circle $x^{2} + y^{2} + 6 x + 2 y - 7 = 0$ at points $R$ and $S .$ If $P,$ $Q,$ $R$ and $S$ are concyclic, then the value of $λ$ is

Discussion

11393.	8 when multiplied to 8 would give
Answer» 8 when multiplied to 8 would give

Discussion

11394.	Identify equilateral pentagon.
Answer» Identify equilateral pentagon.

Discussion

11395.	Solve the following system of equations by cross-multiplication method.2x + 3y + 8 = 04x + 5y + 14 = 0
Answer» Solve the following system of equations by cross-multiplication method. 2x + 3y + 8 = 0 4x + 5y + 14 = 0

Discussion

11396.

The table below shows the number of coconuts a farmer got in various monthsMonth Number of coconuts JanuaryMarchMayJulySeptemberNovember 540680850700550670 Draw a line graph of this data

Answer»

The table below shows the number of coconuts a farmer got in various months

Month

Number of coconuts

January

March

May

July

September

November

540

680

850

700

550

670

Draw a line graph of this data

Discussion

11397.	Tap on the shape that is closed.
Answer» Tap on the shape that is closed.

Discussion

11398.	Factorise : −x2y−x+3xy+3
Answer» Factorise : $- x^{2} y - x + 3 x y + 3$

Discussion

11399.	Subtract 5x²- 4y²+6y-3 from 7x²-4xy+8y²+5x-3y
Answer» Subtract 5x²- 4y²+6y-3 from 7x²-4xy+8y²+5x-3y

Discussion

11400.	Which of the following options is correct?
Answer» Which of the following options is correct?

Discussion

Explore topic-wise InterviewSolutions in .

Solve : 0.25+1.95x=0.9.

Question 160(iv)For each hook-up, determine whether there is a single repeater machine that will do the same work. If so, describe or draw it.

729 is a perfect square number, and is a square of .

Using a suitable identity, the value of (1 – cos2A) cosec2A is

A cup is in the shape of a hemisphere of radius 9cm. Find the volume of the cup.

In a class number of girls is X and the number of boys is y. also the number of girls is 15 more than the number of boys write the given data in the form of a linear equation in two variables also represent graphically .find graphically the number of girls if the number of boys is 20.

If a+b+c = 0 , then evaluate a^3+b^3+c^3

A teacher assigns weights for each subject's requirements. For each requirement, the Student's maximum score is 100 and Charles obtains a grade of 84, 75, 85, 80, and 82. What is his average score?

Question 11 In the given question, out of four options, only one is correct. Write the correct answer. If the sum of digits of a number is divisible by three, then the number is always divisible by (a) 2 (b) 3 (c) 6 (d) 9

A garment dealer allows his customer 10% discount on a marked price of the goods and still gets a profit of 25%. what is the cost price, if a shirt is marked at $1250.

If f(x)=(1x)x, then the value of f′′(1) is

Three numbers are in the ratio 1 : 2 : 3. The sum of their cubes is 98784. Find the numbers.

Solve:

The number of diagonals that can be drawn in a 24 side polygon is -

How many numbers lie between squares of the following numbers?(i) 12 and 13(ii) 25and 26(iii) 99 and 100

SeasonNo. of votesSummer90Rainy120Winter150 A group of 360 people were asked to vote for their favourite season from the three seasons: rainy, winter and summer. Find the central angle of each sector in a pie chart for the above information. [4 MARKS]

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

The points A (1, 1), B (-1, 1) and the origin form the vertices of?

30. the centre of the circle passing through the points (h,0),(k,0),(0,h),(0,k) is?

A housing society consisting of 5500 people needs 100 L of water per person per day. The cylindrical supply tank is 7 m high and has a diameter 10 m. For how many days will the water in the tank last for the society?

(a+b)2 =a2+ +b2

Differentiation of y= [(3x+5)^4]/12

Question 31 In the following question, out of the four options, only one is correct. Write the correct answer. For a non-zero rational numberz,(z−2)3 is equal to: (a) z6 (b) z−6 (c) z1 (d) z4

An ellipse is described by using an endless string which passed over two points. If the axes are 6 cm and 4 cm, the length of the string and distance between the points are ___________.

In a fabric, the ratio of cotton and synthetic is 1:4. What is the percentage of cotton in the fabric?

Which of the following could be a slope for the line shown below?

A sum of money is to be distributed among A,B,C, D in the ratio of 5:2:4:3. If C gets Rs1000more than December what is B's share?

Find the compound interest earned on a sum of ₹400 in 2 years at the rate of 25% p.a.225

Which of the following is the most important public transport for short distances?

Find the square root of the following numbers in decimal form: 150.0625

Find the cube roots of the following numbers :(i) 729 (ii) 4913 (iii) 117649

If ABC and BDE are two equilateral triangles such that D is the mid-point of BC then ar(ΔABC) : ar(BDE) = _________.

90. from the point A(6,-8) all possible lines are drawn to cut the x-axis. find the locus of their middle points

If there are more than four terms in a proportion, then the rule of three is termed as ___

You deposit Rs. 400 in to a bank account paying 5% simple interest per year. How much interest would you have earned after 3 years?

Find the remainder when f(x)=12x3−13x2−5x+7 is divided by (3x+2)

The value of {83^3 + 17^3} / (83 x 66 + 17^2)

Draw the top, side and front views of the solid figure given below.

Do the addition of a+b–3,b–a+3 and a–b+3

8. Value of cube root of - iota

Factorize a3+1a3?

The line x+2y+3=0 cuts the circle x2+y2+4x+4y−1=0 at points P and Q and the line 2x+3y+λ=0 cuts the circle x2+y2+6x+2y−7=0 at points R and S. If P, Q, R and S are concyclic, then the value of λ is

8 when multiplied to 8 would give

Identify equilateral pentagon.

Solve the following system of equations by cross-multiplication method.2x + 3y + 8 = 04x + 5y + 14 = 0

The table below shows the number of coconuts a farmer got in various monthsMonth Number of coconuts JanuaryMarchMayJulySeptemberNovember 540680850700550670 Draw a line graph of this data

Tap on the shape that is closed.

Factorise : −x2y−x+3xy+3

Subtract 5x²- 4y²+6y-3 from 7x²-4xy+8y²+5x-3y

Which of the following options is correct?