25365 + Interview Questions in Mathematics Page 151 InterviewSolution

7501.	Let be three rays such that lies between. Suppose the bisectors of ∠AOC and ∠COB are perpendicular to each other. Prove that B, O, A are collinear.
Answer» Let be three rays such that lies between. Suppose the bisectors of ∠AOC and ∠COB are perpendicular to each other. Prove that B, O, A are collinear.

7501.

Let be three rays such that lies between. Suppose the bisectors of ∠AOC and ∠COB are perpendicular to each other. Prove that B, O, A are collinear.

Answer»

Let be three rays such that lies between. Suppose the bisectors of ∠AOC and ∠COB are perpendicular to each other. Prove that B, O, A are collinear.

Discussion

7502.	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

7503.	How can we find solution of questions of quadriletral where we have to draw image
Answer» How can we find solution of questions of quadriletral where we have to draw image

Discussion

7504.	If A = {x:x is an integer, −32<x<112},then A written in Roster form is
Answer» If A = ${x : x i s a n i n t e g e r, \frac{- 3}{2} < x < \frac{11}{2}}$ ,then A written in Roster form is

Discussion

7505.	The cost of type 1 rice is Rs. 15 per kg and type 2 rice is Rs. 20 per kg. If both type 1 and type 2 are mixed in the ratio of 2:3, then the price per kg of the mixture is ___ (in Rs.)
Answer» The cost of type 1 rice is Rs. 15 per kg and type 2 rice is Rs. 20 per kg. If both type 1 and type 2 are mixed in the ratio of 2:3, then the price per kg of the mixture is ___ (in Rs.)

Discussion

7506.	The ratio of zinc and copper in an alloy is 7:9. If the weight of the copper in the alloy is 11.7 kg, find the weight of the zinc in the alloy.
Answer» The ratio of zinc and copper in an alloy is 7:9. If the weight of the copper in the alloy is 11.7 kg, find the weight of the zinc in the alloy.

Discussion

7507.	Divide : (i) 9m5+12m4−6m2 by 3m2 (ii) 24x3y+20x2y2−4xy by 2xy
Answer» Divide : (i) $9 m^{5} + 12 m^{4} - 6 m^{2} b y 3 m^{2}$ (ii) $24 x^{3} y + 20 x^{2} y^{2} - 4 x y b y 2 x y$

Discussion

7508.	Factorise : x2−xz+xy−yz
Answer» Factorise : $x^{2} - x z + x y - y z$

Discussion

7509.	A bag has 4 red balls and 2 yellow balls. The balls are identical in all respect other than colour. A ball is drawn from the bag without looking into the bag. The probability of getting a red ball is _________. Choose the correct option to fill in the blank.
Answer» A bag has 4 red balls and 2 yellow balls. The balls are identical in all respect other than colour. A ball is drawn from the bag without looking into the bag. The probability of getting a red ball is _________. Choose the correct option to fill in the blank.

Discussion

7510.	Tick the correct answer in each of the followingA bag contains 3 white and 2 red balls. One ball is drawn at random. What is the probability that the ball drawn is red ?(a) 12(b) 23(c) 15(d) 25
Answer» $Tick the correct answer in each of the following A bag contains 3 white and 2 red balls. One ball is drawn at random. What is the probability that the ball drawn is red ? (a) \frac{1}{2} (b) \frac{2}{3} (c) \frac{1}{5} (d) \frac{2}{5}$

Discussion

7511.	Question 81State whether the following statement is true or false:999 is a perfect cube.
Answer» Question 81 State whether the following statement is true or false: 999 is a perfect cube.

7511.

Question 81State whether the following statement is true or false:999 is a perfect cube.

Answer»

Question 81

State whether the following statement is true or false:

999 is a perfect cube.

Discussion

7512.	in\bigtriangleup ABC,D is a point on AB and E is a point on AC such that DE\parallel BC.if AD=2x-3;DB=x-1; AE=5x-7 and EC=2(x-1),then x=_______?
Answer» in\bigtriangleup ABC,D is a point on AB and E is a point on AC such that DE\parallel BC.if AD=2x-3;DB=x-1; AE=5x-7 and EC=2(x-1),then x=_______?

Discussion

7513.	Question 97Solve the following question:Using prime factoristaion, find the cube roots ofa) 512b) 2197
Answer» Question 97 Solve the following question: Using prime factoristaion, find the cube roots of a) 512 b) 2197

7513.

Question 97Solve the following question:Using prime factoristaion, find the cube roots ofa) 512b) 2197

Answer»

Question 97

Solve the following question:

Using prime factoristaion, find the cube roots of

a) 512

b) 2197

Discussion

7514.	Question 57(ii)Study the graph and answer the questions that follow.On which day was the temperature the least?
Answer» Question 57(ii) Study the graph and answer the questions that follow. On which day was the temperature the least?

Discussion

7515.	Question 49State whether the following statement is true or false:The square of 86 will have 6 at the unit's place.
Answer» Question 49 State whether the following statement is true or false: The square of 86 will have 6 at the unit's place.

7515.

Question 49State whether the following statement is true or false:The square of 86 will have 6 at the unit's place.

Answer»

Question 49

State whether the following statement is true or false:

The square of 86 will have 6 at the unit's place.

Discussion

7516.	How many 3 letter words with or without meaning can be formed out of the letters of the word SMOKE when repetition of words is allowed?
Answer» How many $3$ letter words with or without meaning can be formed out of the letters of the word $S M O K E$ when repetition of words is allowed?

Discussion

7517.	Four alternative options are given for each of the following statements. Select the correct option.What would be added to a2 + 2ab to make it a complete square?A. b2B. 2abC. abD. 2a
Answer» Four alternative options are given for each of the following statements. Select the correct option. What would be added to a² + 2ab to make it a complete square? A. b² B. 2ab C. ab D. 2a

7517.

Four alternative options are given for each of the following statements. Select the correct option.What would be added to a2 + 2ab to make it a complete square?A. b2B. 2abC. abD. 2a

Answer»

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

What would be added to a² + 2ab to make it a complete square?

A. b²

B. 2ab

C. ab

D. 2a

Discussion

7518.	Question 84(iii) The two graph below compares car A and car B. The left graph shows the relationship between age and value. The right graph shows the relationship between size and maximum speed.Use the graph to determine whether the given statement is true or false and explain your answer.The larger car is older.
Answer» Question 84(iii) The two graph below compares car A and car B. The left graph shows the relationship between age and value. The right graph shows the relationship between size and maximum speed. Use the graph to determine whether the given statement is true or false and explain your answer. The larger car is older.

Discussion

7519.	The cost of 16 bags of washing powder, each weighing 1.5 kg, is Rs 672. Find the cost of 18 bags of the same, each weighing 2 kg.
Answer» The cost of 16 bags of washing powder, each weighing 1.5 kg, is Rs 672. Find the cost of 18 bags of the same, each weighing 2 kg.

Discussion

7520.	There are 18 rings on the rod. Harshita is trying to group them. She can put them in groups of 2, 3, 6, 9 and 18 — without any ring being left. How many groups will she have if she makes groups of 3 rings each?
Answer» There are 18 rings on the rod. Harshita is trying to group them. She can put them in groups of 2, 3, 6, 9 and 18 — without any ring being left. How many groups will she have if she makes groups of 3 rings each?

Discussion

7521.	Question 92 (iii)Radius of a cylinder is r and the height is h. Find the change in the volume if the height remains same and the radius is halved.
Answer» Question 92 (iii) Radius of a cylinder is r and the height is h. Find the change in the volume if the height remains same and the radius is halved.

7521.

Question 92 (iii)Radius of a cylinder is r and the height is h. Find the change in the volume if the height remains same and the radius is halved.

Answer»

Question 92 (iii)

Radius of a cylinder is r and the height is h. Find the change in the volume if the height remains same and the radius is halved.

Discussion

7522.	Construct ∆ACD such that AC = 5.5 cm, CD = 5 cm, and AD = 5.5 cm. The measure of ∠A is _____ .
Answer» Construct ∆ACD such that AC = 5.5 cm, CD = 5 cm, and AD = 5.5 cm. The measure of ∠A is _____ .

Discussion

7523.	Question 69For every rational numbers x, y and z, x+(y×z)=(x+y)×(x+z)
Answer» Question 69 For every rational numbers x, y and z, $x + (y \times z) = (x + y) \times (x + z)$

Discussion

7524.	What is the square of 325?
Answer» What is the square of $3 \frac{2}{5}$ ?

Discussion

7525.	A certain sum amounts to Rs. 3825 in 4 years and to Rs. 4050 in 6 years. Find the rate percent and the sum.
Answer» A certain sum amounts to Rs. 3825 in 4 years and to Rs. 4050 in 6 years. Find the rate percent and the sum.

Discussion

7526.	2x2 - 11x + 15 when factorised gives _________.
Answer» 2x² - 11x + 15 when factorised gives _________.

Discussion

7527.	Find all the zeros of the polynomial (2x4−11x3+7x2+13x−7) , it being given that two of its zeros are (3+√2) and (3−√2) .
Answer» Find all the zeros of the polynomial $(2 x^{4} - 11 x^{3} + 7 x^{2} + 13 x - 7)$ , it being given that two of its zeros are $(3 + \sqrt{2}) a n d (3 - \sqrt{2})$ .

Discussion

7528.	What is the difference between Angular node and Spherical node ? Explain with diagram.
Answer» What is the difference between Angular node and Spherical node ? Explain with diagram.

Discussion

7529.	How does the equation, log (T2 - T1) = -kt + c, evolve. Explain its derivation.
Answer» How does the equation, log (T2 - T1) = -kt + c, evolve. Explain its derivation.

Discussion

7530.	If 1000 = 2 × 2 × 2 × 5 × 5 × 5 then cube root of 1000 is:
Answer» If 1000 = 2 × 2 × 2 × 5 × 5 × 5 then cube root of 1000 is:

Discussion

7531.	The volume of a cuboid is given by the product of its length, breadth and height. The length of a cuboid is 2x2 times its breadth and the height is 32xy times of length. Find the volume of the cuboid if its breadth is 6y2.
Answer» The volume of a cuboid is given by the product of its length, breadth and height. The length of a cuboid is 2x² times its breadth and the height is $\frac{3}{2}$ xy times of length. Find the volume of the cuboid if its breadth is 6y².

Discussion

7532.	Question 7The difference of squares of two numbers is 180. The square of the smaller number is 8 times the larger number. Find the two numbers.
Answer» Question 7 The difference of squares of two numbers is 180. The square of the smaller number is 8 times the larger number. Find the two numbers.

Discussion

7533.	What is the Abscissa of the point P(– 7, 12).
Answer» What is the Abscissa of the point P(– 7, 12).

Discussion

7534.	14. What are alternate faces and alternate edge centres?
Answer» 14. What are alternate faces and alternate edge centres?

Discussion

7535.	Let AB, CD be two line segments such that AB \|\| CD and AD \|\| BC. Let E be the midpoint of BC and let DE extended meet AB in F. Prove that AB = BF.
Answer» Let AB, CD be two line segments such that AB \|\| CD and AD \|\| BC. Let E be the midpoint of BC and let DE extended meet AB in F. Prove that AB = BF.

Discussion

7536.	If (a−b)=3 and ab=28, then the value of (a+b) is equal to.
Answer» If $(a - b) = 3$ and $a b = 28$ , then the value of $(a + b)$ is equal to.

Discussion

7537.	The ratio of milk and water in one pot is 3:5 and that in another pot is 6:1. In what ratio should the contents of the two pots be mixed as to make the ratio between milk and water 7:3?
Answer» The ratio of milk and water in one pot is 3:5 and that in another pot is 6:1. In what ratio should the contents of the two pots be mixed as to make the ratio between milk and water 7:3?

Discussion

7538.	If a+b+c=5 and ab+bc+ca =10.Find the value of a³+b³+c³-3abc.
Answer» If a+b+c=5 and ab+bc+ca =10.Find the value of a³+b³+c³-3abc.

Discussion

7539.	Rita goes 20 km towards east from a point A to the point B. From B, she moves 30 km towards west along the same road. If the distance towards east is represented by a positive integer then, how will you represent the distance travelled towards west? By which integer will you represent her final position from A?
Answer» Rita goes 20 km towards east from a point A to the point B. From B, she moves 30 km towards west along the same road. If the distance towards east is represented by a positive integer then, how will you represent the distance travelled towards west? By which integer will you represent her final position from A?

Discussion

7540.	What is the measure of any exterior angle of a regular nonagon?
Answer» What is the measure of any exterior angle of a regular nonagon?

Discussion

7541.	Take x as -1 x2+2x +1
Answer» Take x as -1 x²⁺2x +1

Discussion

7542.	What is Aristotle fallancy?
Answer» What is Aristotle fallancy?

Discussion

7543.	The total number of terms in (x+5)295−(x−5)295 is equal to
Answer» The total number of terms in $(x + 5)^{295} - (x - 5)^{295}$ is equal to

Discussion

7544.	Which of the following solids can be formed using the given net?
Answer» Which of the following solids can be formed using the given net?

7544.

Which of the following solids can be formed using the given net?

Answer»

Which of the following solids can be formed using the given net?

Discussion

7545.	Fill in the BlanksQuestion 22In the point (4,7), 4 denotes the ___.
Answer» Fill in the Blanks Question 22 In the point (4,7), 4 denotes the ___.

Discussion

7546.	Factorize the quadratic equation:
Answer» Factorize the quadratic equation:

7546.

Factorize the quadratic equation:

Answer»

Factorize the quadratic equation:

Discussion

7547.	Apurva invested a sum of Rs. 3200 at 10% per annum compounded quarterly. After some time, she got Rs. 3362, find the duration of time.
Answer» Apurva invested a sum of Rs. 3200 at 10% per annum compounded quarterly. After some time, she got Rs. 3362, find the duration of time.

Discussion

7548.	Question 4Find and correct the errors in the statement : x+2x+3x=5x
Answer» Question 4 Find and correct the errors in the statement : $x + 2 x + 3 x = 5 x$

Discussion

7549.	FindThe value of_, lim(x→1)( x^{P+1}-Px-x+P)/(x-1) ^{2 },(PE N)
Answer» FindThe value of_, lim(x→1)( x^{P+1}-Px-x+P)/(x-1) ^{2 },(PE N)

Discussion

7550.	A box contains 5 black, 4 white and 6 red balls. Two balls are drawn one after another without replacement. The probability that the first will be white and the second will be black is
Answer» A box contains $5$ black, $4$ white and $6$ red balls. Two balls are drawn one after another without replacement. The probability that the first will be white and the second will be black is

Discussion

Explore topic-wise InterviewSolutions in .

Let be three rays such that lies between. Suppose the bisectors of ∠AOC and ∠COB are perpendicular to each other. Prove that B, O, A are collinear.

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

How can we find solution of questions of quadriletral where we have to draw image

If A = {x:x is an integer, −32&lt;x&lt;112},then A written in Roster form is

The cost of type 1 rice is Rs. 15 per kg and type 2 rice is Rs. 20 per kg. If both type 1 and type 2 are mixed in the ratio of 2:3, then the price per kg of the mixture is ___ (in Rs.)

The ratio of zinc and copper in an alloy is 7:9. If the weight of the copper in the alloy is 11.7 kg, find the weight of the zinc in the alloy.

Divide : (i) 9m5+12m4−6m2 by 3m2 (ii) 24x3y+20x2y2−4xy by 2xy

Factorise : x2−xz+xy−yz

A bag has 4 red balls and 2 yellow balls. The balls are identical in all respect other than colour. A ball is drawn from the bag without looking into the bag. The probability of getting a red ball is _________. Choose the correct option to fill in the blank.

Tick the correct answer in each of the followingA bag contains 3 white and 2 red balls. One ball is drawn at random. What is the probability that the ball drawn is red ?(a) 12(b) 23(c) 15(d) 25

Question 81State whether the following statement is true or false:999 is a perfect cube.

in\bigtriangleup ABC,D is a point on AB and E is a point on AC such that DE\parallel BC.if AD=2x-3;DB=x-1; AE=5x-7 and EC=2(x-1),then x=_______?

Question 97Solve the following question:Using prime factoristaion, find the cube roots ofa) 512b) 2197

Question 57(ii)Study the graph and answer the questions that follow.On which day was the temperature the least?

Question 49State whether the following statement is true or false:The square of 86 will have 6 at the unit's place.

How many 3 letter words with or without meaning can be formed out of the letters of the word SMOKE when repetition of words is allowed?

Four alternative options are given for each of the following statements. Select the correct option.What would be added to a2 + 2ab to make it a complete square?A. b2B. 2abC. abD. 2a

The cost of 16 bags of washing powder, each weighing 1.5 kg, is Rs 672. Find the cost of 18 bags of the same, each weighing 2 kg.

There are 18 rings on the rod. Harshita is trying to group them. She can put them in groups of 2, 3, 6, 9 and 18 — without any ring being left. How many groups will she have if she makes groups of 3 rings each?

Question 92 (iii)Radius of a cylinder is r and the height is h. Find the change in the volume if the height remains same and the radius is halved.

Construct ∆ACD such that AC = 5.5 cm, CD = 5 cm, and AD = 5.5 cm. The measure of ∠A is _____ .

Question 69For every rational numbers x, y and z, x+(y×z)=(x+y)×(x+z)

What is the square of 325?

A certain sum amounts to Rs. 3825 in 4 years and to Rs. 4050 in 6 years. Find the rate percent and the sum.

2x2 - 11x + 15 when factorised gives _________.

Find all the zeros of the polynomial (2x4−11x3+7x2+13x−7) , it being given that two of its zeros are (3+√2) and (3−√2) .

What is the difference between Angular node and Spherical node ? Explain with diagram.

How does the equation, log (T2 - T1) = -kt + c, evolve. Explain its derivation.

If 1000 = 2 × 2 × 2 × 5 × 5 × 5 then cube root of 1000 is:

The volume of a cuboid is given by the product of its length, breadth and height. The length of a cuboid is 2x2 times its breadth and the height is 32xy times of length. Find the volume of the cuboid if its breadth is 6y2.

Question 7The difference of squares of two numbers is 180. The square of the smaller number is 8 times the larger number. Find the two numbers.

What is the Abscissa of the point P(– 7, 12).

14. What are alternate faces and alternate edge centres?

Let AB, CD be two line segments such that AB || CD and AD || BC. Let E be the midpoint of BC and let DE extended meet AB in F. Prove that AB = BF.

If (a−b)=3 and ab=28, then the value of (a+b) is equal to.

The ratio of milk and water in one pot is 3:5 and that in another pot is 6:1. In what ratio should the contents of the two pots be mixed as to make the ratio between milk and water 7:3?

If a+b+c=5 and ab+bc+ca =10.Find the value of a³+b³+c³-3abc.

What is the measure of any exterior angle of a regular nonagon?

Take x as -1 x2+2x +1

What is Aristotle fallancy?

The total number of terms in (x+5)295−(x−5)295 is equal to

Which of the following solids can be formed using the given net?

Fill in the BlanksQuestion 22In the point (4,7), 4 denotes the ___.

Factorize the quadratic equation:

Apurva invested a sum of Rs. 3200 at 10% per annum compounded quarterly. After some time, she got Rs. 3362, find the duration of time.

Question 4Find and correct the errors in the statement : x+2x+3x=5x

FindThe value of_, lim(x→1)( x^{P+1}-Px-x+P)/(x-1) ^{2 },(PE N)

A box contains 5 black, 4 white and 6 red balls. Two balls are drawn one after another without replacement. The probability that the first will be white and the second will be black is

If A = {x:x is an integer, −32<x<112},then A written in Roster form is