19743 + Interview Questions in Mathematics Page 182 InterviewSolution

9051.	Simplify and find the value of the algebric expression if m=5 and n=10.(i) (m2−n2m)2+2m3n2(ii) (7m−8n)2+(7m+8n)2
Answer» Simplify and find the value of the algebric expression if m=5 and n=10. $(i) {(m^{2} - n^{2} m)}^{2} + 2 m^{3} n^{2}$ $(i i) {(7 m - 8 n)}^{2} + {(7 m + 8 n)}^{2}$

Discussion

9052.	Question 22The following pie chart represents the distribution of proteins in parts of human body.What is the central angle of the sector representing hormones enzymes and other proteins?(a) 120°(b) 144°(c) 156°(d) 176°
Answer» Question 22 The following pie chart represents the distribution of proteins in parts of human body. What is the central angle of the sector representing hormones enzymes and other proteins? (a) 120° (b) 144° (c) 156° (d) 176°

9052.

Question 22The following pie chart represents the distribution of proteins in parts of human body.What is the central angle of the sector representing hormones enzymes and other proteins?(a) 120°(b) 144°(c) 156°(d) 176°

Answer»

Question 22

The following pie chart represents the distribution of proteins in parts of human body.

What is the central angle of the sector representing hormones enzymes and other proteins?

(a) 120°

(b) 144°

(c) 156°

(d) 176°

Discussion

9053.	How many faces, edges and vertices does a pyramid have with n sided polygon as its base?
Answer» How many faces, edges and vertices does a pyramid have with n sided polygon as its base?

Discussion

9054.	4. A sum of money lent at simple interest amounts to rupees 783 in 2 years and to rupees 837 in 3 years . find the sum and the rate per cent per annum
Answer» 4. A sum of money lent at simple interest amounts to rupees 783 in 2 years and to rupees 837 in 3 years . find the sum and the rate per cent per annum

Discussion

9055.	Factorise the following expression:p2−10p+25
Answer» Factorise the following expression: $p^{2} - 10 p + 25$

Discussion

9056.	Answer the following questions: a) What number should be multiplied with −813 so that the product would be 24? b) 213 m of cloth cost Rs7514. What is the rate of per metre cloth? [4 MARKS]
Answer» Answer the following questions: a) What number should be multiplied with $\frac{- 8}{13}$ so that the product would be 24? b) $2 \frac{1}{3}$ m of cloth cost Rs $75 \frac{1}{4}$ . What is the rate of per metre cloth? [4 MARKS]

Discussion

9057.	Mention the squares of (a) +7 (b) (−4)
Answer» Mention the squares of (a) +7 (b) (−4)

Discussion

9058.	Divide the given polynomial by the given monomial: (x3+2x2+3x)÷2x
Answer» Divide the given polynomial by the given monomial: $(x^{3} + 2 x^{2} + 3 x) \div 2 x$

Discussion

9059.	Factors of 49p2−36 are:
Answer» Factors of $49 p^{2} - 36$ are:

Discussion

9060.	Find all positive integral value of n square+96 is perfect square
Answer» Find all positive integral value of n square+96 is perfect square

Discussion

9061.	If U={1,2,3,4,5} and A={2,5}, then A′=
Answer» If $U = {1, 2, 3, 4, 5}$ and $A = {2, 5}$ , then $A^{'} =$

Discussion

9062.	Michaelfinished colouring a picture in hour.Vaibhav finished colouring the same picture in hour.Who worked longer? By what fraction was it longer?
Answer» Michael finished colouring a picture in hour. Vaibhav finished colouring the same picture in hour. Who worked longer? By what fraction was it longer?

Discussion

9063.	If two angles of a triangle is 50 degree and 60 degree. Find the third angle.
Answer» If two angles of a triangle is 50 degree and 60 degree. Find the third angle.

Discussion

9064.	-131 multiplied with its multiplicative inverse gives
Answer» -131 multiplied with its multiplicative inverse gives

Discussion

9065.	Using the given number line find the difference between point A and point B :
Answer» Using the given number line find the difference between point A and point B :

9065.

Using the given number line find the difference between point A and point B :

Answer»

Using the given number line find the difference between point A and point B :

Discussion

9066.	Which of the following pairs represent equivalent rational numbers?
Answer» Which of the following pairs represent equivalent rational numbers?

9066.

Which of the following pairs represent equivalent rational numbers?

Answer»

Which of the following pairs represent equivalent rational numbers?

Discussion

9067.	The work hours of an employee of Think and Learn is given below: 9, 10, 8, 9, 12, 10 Find the mean hours worked by the employee. (Write up to 2 decimal places) ___
Answer» The work hours of an employee of Think and Learn is given below: 9, 10, 8, 9, 12, 10 Find the mean hours worked by the employee. (Write up to 2 decimal places) ___

9067.

The work hours of an employee of Think and Learn is given below: 9, 10, 8, 9, 12, 10 Find the mean hours worked by the employee. (Write up to 2 decimal places) ___

Answer»

The work hours of an employee of Think and Learn is given below:

9, 10, 8, 9, 12, 10

Find the mean hours worked by the employee. (Write up to 2 decimal places)

___

Discussion

9068.	An equivalent fraction of 13, with a denominator less than 10 is
Answer» $An equivalent fraction of 13, with a denominator less than 10 is$

Discussion

9069.	The value of ((32)−1)−2 is .
Answer» The value of $({(\frac{3}{2})^{- 1})}^{- 2}$ is .

Discussion

9070.	Why is AAA not a property for a congruent triangle?
Answer» Why is AAA not a property for a congruent triangle?

Discussion

9071.	In a parallelogram ABCD e is any point on side BC diagonal BD and a intersect at P prove thatDPEP=PBPA
Answer» In a parallelogram ABCD e is any point on side BC diagonal BD and a intersect at P prove thatDPEP=PBPA

Discussion

9072.	The ratio between the prices of a scooter and a refrigerator is 4: 1. If the scooter costs ₹ 45,000 more than the refrigerator, find the price of the refrigerator.
Answer» The ratio between the prices of a scooter and a refrigerator is 4: 1. If the scooter costs ₹ 45,000 more than the refrigerator, find the price of the refrigerator.

Discussion

9073.	What is the missing part in the net of the given shape?
Answer» What is the missing part in the net of the given shape?

Discussion

9074.	Find a monomial, which is added to −2x+4y2+z to make this expression a binomial.
Answer» Find a monomial, which is added to $- 2 x + 4 y^{2} + z$ to make this expression a binomial.

Discussion

9075.	A man loses 20% of his money. After spending 25% of the remainder, he has Rs 480 left. How much money did he originally have?
Answer» A man loses $20 %$ of his money. After spending $25 %$ of the remainder, he has Rs 480 left. How much money did he originally have?

Discussion

9076.	In differencials when to use chains rule and when simple rule?
Answer» In differencials when to use chains rule and when simple rule?

Discussion

9077.	Simplify and write the expression in exponential form: 43 x 4−2 x 162
Answer» Simplify and write the expression in exponential form: $4^{3}$ x $4^{- 2}$ x $16^{2}$

Discussion

9078.	Question 01.Which of the following are in inverse proportion?(i) The number of workers on a job and the time to complete the job.(ii) The time taken for a journey and the distance travelled in a uniform speed.(iii) Area of cultivated land and the crop harvested.(iv) The time taken for a fixed journey and the speed of the vehicle.(v) The population of a country and the area of land per person.
Answer» Question 01. Which of the following are in inverse proportion? (i) The number of workers on a job and the time to complete the job. (ii) The time taken for a journey and the distance travelled in a uniform speed. (iii) Area of cultivated land and the crop harvested. (iv) The time taken for a fixed journey and the speed of the vehicle. (v) The population of a country and the area of land per person.

Discussion

9079.	The sum of the digits of a two digit number is 12. If the new number formed by reversing the digits is greater than the original number by 18, find the original number. Check your solution.
Answer» The sum of the digits of a two digit number is 12. If the new number formed by reversing the digits is greater than the original number by 18, find the original number. Check your solution.

Discussion

9080.	How many perpendicular bisectors need to be drawn during the method of Triangle Construction 2?
Answer» How many perpendicular bisectors need to be drawn during the method of Triangle Construction 2?

Discussion

9081.

Percentage of pass in SSLC Examination of a school is given. Draw a line graph.Year Percentage of pass 1999 30 2000 40 2001 70 2002 50

Answer»

Percentage of pass in SSLC Examination of a school is given. Draw a line graph.

Year		Percentage of pass
1999		30
2000		40
2001		70
2002		50

Discussion

9082.	A child bought 25 chocolates for ₹100. What will be the cost of 1 chocolate?
Answer» A child bought 25 chocolates for ₹100. What will be the cost of 1 chocolate?

Discussion

9083.	The probability of getting at least one tail, when four coins are tossed is .
Answer» The probability of getting at least one tail, when four coins are tossed is .

Discussion

9084.	57.A particle covers first half of the distance with speed of 6 m/s.The second half of the distance it covers in two equal time intervals with respective speed of 3 m/s and 9 m/s.The average speed of the particle of the particle for the entire journey is 1)6 m/s 2)9m/s 3)12m/s 4)10m/s
Answer» 57.A particle covers first half of the distance with speed of 6 m/s.The second half of the distance it covers in two equal time intervals with respective speed of 3 m/s and 9 m/s.The average speed of the particle of the particle for the entire journey is 1)6 m/s 2)9m/s 3)12m/s 4)10m/s

Discussion

9085.	16. Construct a triangle PQR given that pq=5.4 ,qr =pr=4.7 cm name the triangle.
Answer» 16. Construct a triangle PQR given that pq=5.4 ,qr =pr=4.7 cm name the triangle.

Discussion

9086.	Assertion: ABCD is a quadrilateral in which P, Q, R and S are the mid - points of AB, BC, CD and DA respectively. Then, PQRS is a parallelogram. Reason: The line segment joining the mid - points of any two sides of a triangle is parallel to the third side and equal to half of it. Which of the following is correct?
Answer» Assertion: ABCD is a quadrilateral in which P, Q, R and S are the mid - points of AB, BC, CD and DA respectively. Then, PQRS is a parallelogram. Reason: The line segment joining the mid - points of any two sides of a triangle is parallel to the third side and equal to half of it. Which of the following is correct?

9086.

Assertion: ABCD is a quadrilateral in which P, Q, R and S are the mid - points of AB, BC, CD and DA respectively. Then, PQRS is a parallelogram. Reason: The line segment joining the mid - points of any two sides of a triangle is parallel to the third side and equal to half of it. Which of the following is correct?

Answer»

Assertion: ABCD is a quadrilateral in which P, Q, R and S are the mid - points of AB, BC, CD and DA respectively. Then, PQRS is a parallelogram.

Reason: The line segment joining the mid - points of any two sides of a triangle is parallel to the third side and equal to half of it.

Which of the following is correct?

Discussion

9087.	If OC is perpendicular to AB, and BC = 5 cm as shown in the figure, find the length of AB.
Answer» If OC is perpendicular to AB, and BC = 5 cm as shown in the figure, find the length of AB.

Discussion

9088.	In a cricket match, a coin is tossed to decide which team will decide to bat or ball first. What is the probability that team A will get to decide whether to bat or ball first in a match between teams A and B?
Answer» In a cricket match, a coin is tossed to decide which team will decide to bat or ball first. What is the probability that team A will get to decide whether to bat or ball first in a match between teams A and B?

Discussion

9089.	Identify the coordinating conjunction in the sentence. Leave while you can or you will have to wait till the end.
Answer» Identify the coordinating conjunction in the sentence. Leave while you can or you will have to wait till the end.

9089.

Identify the coordinating conjunction in the sentence. Leave while you can or you will have to wait till the end.

Answer»

Identify the coordinating conjunction in the sentence.

Leave while you can or you will have to wait till the end.

Discussion

9090.	Question 5 How many triangles can be drawn having its angle as 53∘, 64∘ and 63∘? Give the reason for your answer.
Answer» Question 5 How many triangles can be drawn having its angle as $53^{\circ}, 64^{\circ} a n d 63^{\circ}$ ? Give the reason for your answer.

Discussion

9091.	What is the angle between North-East and South-West direction?
Answer» What is the angle between North-East and South-West direction?

Discussion

9092.	If Rs 1750 amounts to Rs 1933.75 in a time period of 3 years, what is the rate of interest?
Answer» If Rs 1750 amounts to Rs 1933.75 in a time period of 3 years, what is the rate of interest?

Discussion

9093.	(−1)−3 is :
Answer» $(- 1)^{- 3}$ is :

Discussion

9094.	The present age of Vinay’s mother is three times the present age of Vinay. After 5 years, the sum of their ages will be 70. Find Vinay's age.
Answer» The present age of Vinay’s mother is three times the present age of Vinay. After 5 years, the sum of their ages will be 70. Find Vinay's age.

Discussion

9095.	Find angle x.
Answer» Find angle x.

9095.

Find angle x.

Answer»

Find angle x.

Discussion

9096.	Question 3 (ii) Estimate what part of the figures is colored and hence find the per cent which is colored. ii)
Answer» Question 3 (ii) Estimate what part of the figures is colored and hence find the per cent which is colored. ii)

Discussion

9097.	Draw a right angled ∆ XYZ. Draw its medians and show their point of concurrence by G.
Answer» Draw a right angled ∆ XYZ. Draw its medians and show their point of concurrence by G.

Discussion

9098.	Get the algebraic expression in the following case using variables, constants, and arithmetic operations:Product of numbers y and z subtracted from 10.
Answer» Get the algebraic expression in the following case using variables, constants, and arithmetic operations: Product of numbers y and z subtracted from 10.

9098.

Get the algebraic expression in the following case using variables, constants, and arithmetic operations:Product of numbers y and z subtracted from 10.

Answer»

Get the algebraic expression in the following case using variables, constants, and arithmetic operations:

Product of numbers y and z subtracted from 10.

Discussion

9099.	Solve the following problems.A T.V. dealer recued the price of a T.V. by 15% and sold it for Rs. 8,500. Find the marked price of it.
Answer» Solve the following problems. A T.V. dealer recued the price of a T.V. by 15% and sold it for Rs. 8,500. Find the marked price of it.

9099.

Solve the following problems.A T.V. dealer recued the price of a T.V. by 15% and sold it for Rs. 8,500. Find the marked price of it.

Answer»

Solve the following problems.

A T.V. dealer recued the price of a T.V. by 15% and sold it for Rs. 8,500. Find the marked price of it.

Discussion

9100.	27. Arun sold a tv set at a loss of 12% if he had sold it for rupee 3200 more he would have gained 20% . Then the cost of tv set is
Answer» 27. Arun sold a tv set at a loss of 12% if he had sold it for rupee 3200 more he would have gained 20% . Then the cost of tv set is

Discussion

Explore topic-wise InterviewSolutions in .

Simplify and find the value of the algebric expression if m=5 and n=10.(i) (m2−n2m)2+2m3n2(ii) (7m−8n)2+(7m+8n)2

Question 22The following pie chart represents the distribution of proteins in parts of human body.What is the central angle of the sector representing hormones enzymes and other proteins?(a) 120°(b) 144°(c) 156°(d) 176°

How many faces, edges and vertices does a pyramid have with n sided polygon as its base?

4. A sum of money lent at simple interest amounts to rupees 783 in 2 years and to rupees 837 in 3 years . find the sum and the rate per cent per annum

Factorise the following expression:p2−10p+25

Answer the following questions: a) What number should be multiplied with −813 so that the product would be 24? b) 213 m of cloth cost Rs7514. What is the rate of per metre cloth? [4 MARKS]

Mention the squares of (a) +7 (b) (−4)

Divide the given polynomial by the given monomial: (x3+2x2+3x)÷2x

Factors of 49p2−36 are:

Find all positive integral value of n square+96 is perfect square

If U={1,2,3,4,5} and A={2,5}, then A′=

Michaelfinished colouring a picture in hour.Vaibhav finished colouring the same picture in hour.Who worked longer? By what fraction was it longer?

If two angles of a triangle is 50 degree and 60 degree. Find the third angle.

-131 multiplied with its multiplicative inverse gives

Using the given number line find the difference between point A and point B :

Which of the following pairs represent equivalent rational numbers?

The work hours of an employee of Think and Learn is given below: 9, 10, 8, 9, 12, 10 Find the mean hours worked by the employee. (Write up to 2 decimal places) ___

An equivalent fraction of 13, with a denominator less than 10 is

The value of ((32)−1)−2 is .

Why is AAA not a property for a congruent triangle?

In a parallelogram ABCD e is any point on side BC diagonal BD and a intersect at P prove thatDPEP=PBPA

The ratio between the prices of a scooter and a refrigerator is 4: 1. If the scooter costs ₹ 45,000 more than the refrigerator, find the price of the refrigerator.

What is the missing part in the net of the given shape?

Find a monomial, which is added to −2x+4y2+z to make this expression a binomial.

A man loses 20% of his money. After spending 25% of the remainder, he has Rs 480 left. How much money did he originally have?

In differencials when to use chains rule and when simple rule?

Simplify and write the expression in exponential form: 43 x 4−2 x 162

The sum of the digits of a two digit number is 12. If the new number formed by reversing the digits is greater than the original number by 18, find the original number. Check your solution.

How many perpendicular bisectors need to be drawn during the method of Triangle Construction 2?

Percentage of pass in SSLC Examination of a school is given. Draw a line graph.Year Percentage of pass 1999 30 2000 40 2001 70 2002 50

A child bought 25 chocolates for ₹100. What will be the cost of 1 chocolate?

The probability of getting at least one tail, when four coins are tossed is .

57.A particle covers first half of the distance with speed of 6 m/s.The second half of the distance it covers in two equal time intervals with respective speed of 3 m/s and 9 m/s.The average speed of the particle of the particle for the entire journey is 1)6 m/s 2)9m/s 3)12m/s 4)10m/s

16. Construct a triangle PQR given that pq=5.4 ,qr =pr=4.7 cm name the triangle.

If OC is perpendicular to AB, and BC = 5 cm as shown in the figure, find the length of AB.

In a cricket match, a coin is tossed to decide which team will decide to bat or ball first. What is the probability that team A will get to decide whether to bat or ball first in a match between teams A and B?

Identify the coordinating conjunction in the sentence. Leave while you can or you will have to wait till the end.

Question 5 How many triangles can be drawn having its angle as 53∘, 64∘ and 63∘? Give the reason for your answer.

What is the angle between North-East and South-West direction?

If Rs 1750 amounts to Rs 1933.75 in a time period of 3 years, what is the rate of interest?

(−1)−3 is :

The present age of Vinay’s mother is three times the present age of Vinay. After 5 years, the sum of their ages will be 70. Find Vinay's age.

Find angle x.

Question 3 (ii) Estimate what part of the figures is colored and hence find the per cent which is colored. ii)

Draw a right angled ∆ XYZ. Draw its medians and show their point of concurrence by G.

Get the algebraic expression in the following case using variables, constants, and arithmetic operations:Product of numbers y and z subtracted from 10.

Solve the following problems.A T.V. dealer recued the price of a T.V. by 15% and sold it for Rs. 8,500. Find the marked price of it.

27. Arun sold a tv set at a loss of 12% if he had sold it for rupee 3200 more he would have gained 20% . Then the cost of tv set is