19743 + Interview Questions in Mathematics Page 108 InterviewSolution

5351.	Question 35In the question given below, fill in the blank to make the statement true:The product of two terms with unlike signs is a ___ term.
Answer» Question 35 In the question given below, fill in the blank to make the statement true: The product of two terms with unlike signs is a ___ term.

Discussion

5352.	Raju has a debt of ₹6000. He recieves ₹10000 as his salary for the current month.Use integers to represent his bank balance before and after he gets his salary.
Answer» Raju has a debt of ₹6000. He recieves ₹10000 as his salary for the current month.Use integers to represent his bank balance before and after he gets his salary.

Discussion

5353.	Question 148(i)Two machines can be hooked together. When something is sent through this hook up, the output from the first machine becomes the input for the second.Which two machines hooked together do the same work a (×102) machine does? Is there more than one arrangement of two machines that will work?
Answer» Question 148(i) Two machines can be hooked together. When something is sent through this hook up, the output from the first machine becomes the input for the second. Which two machines hooked together do the same work a $(\times 10^{2})$ machine does? Is there more than one arrangement of two machines that will work?

5353.

Question 148(i)Two machines can be hooked together. When something is sent through this hook up, the output from the first machine becomes the input for the second.Which two machines hooked together do the same work a (×102) machine does? Is there more than one arrangement of two machines that will work?

Answer»

Question 148(i)

Two machines can be hooked together. When something is sent through this hook up, the output from the first machine becomes the input for the second.

Which two machines hooked together do the same work a $(\times 10^{2})$ machine does? Is there more than one arrangement of two machines that will work?

Discussion

5354.	If a=x, then for what value of x does the equation x+a2=(2x−5) hold true?
Answer» If $a = x$ , then for what value of $x$ does the equation $x + \frac{a}{2} = (2 x - 5)$ hold true?

Discussion

5355.	Question 128State whether the statements are True or False.If diagonals of a quadrilateral bisect each other, it must be a parallelogram.
Answer» Question 128 State whether the statements are True or False. If diagonals of a quadrilateral bisect each other, it must be a parallelogram.

Discussion

5356.	Fill in the blank with a number that follows the sequence : , 39, 52, 65
Answer» Fill in the blank with a number that follows the sequence : , 39, 52, 65

Discussion

5357.	What is the frequency denoted by these tallies.(a)(b)(c)(d)
Answer» What is the frequency denoted by these tallies. (a) (b) (c) (d)

5357.

What is the frequency denoted by these tallies.(a)(b)(c)(d)

Answer»

What is the frequency denoted by these tallies.

(a)

(b)

(c)

(d)

Discussion

5358.	Question 6ABC is an equilateral triangle of side 2a. Find each of its altitudes.
Answer» Question 6 ABC is an equilateral triangle of side 2a. Find each of its altitudes.

Discussion

5359.	Question 15 The measure fo an angle which is four times its supplement, is (a) 36∘ (b) 144∘ (c) 16∘ (d) 64∘
Answer» Question 15 The measure fo an angle which is four times its supplement, is (a) $36^{\circ}$ (b) $144^{\circ}$ (c) $16^{\circ}$ (d) $64^{\circ}$

Discussion

5360.	z is an integer such that z≥5. Select the correct representation on the number line.
Answer» $z$ is an integer such that $z \geq 5$ . Select the correct representation on the number line.

Discussion

5361.	Question 75 State whether the statement is True or False. The sum of the measures of three angles of a triangle is greater than 180∘.
Answer» Question 75 State whether the statement is True or False. The sum of the measures of three angles of a triangle is greater than $180^{\circ}$ .

5361.

Question 75 State whether the statement is True or False. The sum of the measures of three angles of a triangle is greater than 180∘.

Answer»

Question 75

State whether the statement is True or False.

The sum of the measures of three angles of a triangle is greater than $180^{\circ}$ .

Discussion

5362.	Find the marked price.Selling price = Rs.810; rate of discount = 40%
Answer» Find the marked price. Selling price = Rs.810; rate of discount = 40%

5362.

Find the marked price.Selling price = Rs.810; rate of discount = 40%

Answer»

Find the marked price.

Selling price = Rs.810; rate of discount = 40%

Discussion

5363.	The base of a parallelogram is 5 inches and its height is twice its base. Find the area of parallelogram.
Answer» The base of a parallelogram is 5 inches and its height is twice its base. Find the area of parallelogram.

Discussion

5364.	Question 47 By which of the following criterion two triangles cannot be proved congruent? a) AAA b) SSS c) SAS d) ASA
Answer» Question 47 By which of the following criterion two triangles cannot be proved congruent? a) AAA b) SSS c) SAS d) ASA

5364.

Question 47 By which of the following criterion two triangles cannot be proved congruent? a) AAA b) SSS c) SAS d) ASA

Answer»

Question 47

By which of the following criterion two triangles cannot be proved congruent?

a) AAA
b) SSS
c) SAS
d) ASA

Discussion

5365.	What is the formula of area and perimeter of square, rectangle and triangle?
Answer» What is the formula of area and perimeter of square, rectangle and triangle?

Discussion

5366.	Identify the bar having maximum frequency in the given histogram?
Answer» Identify the bar having maximum frequency in the given histogram?

Discussion

5367.	Find the area of an iscoceles triangle whose base is 16 cm, and length of each side = 10 cm.
Answer» Find the area of an iscoceles triangle whose base is 16 cm, and length of each side = 10 cm.

Discussion

5368.	If f : R → R be defined by f(x) = (2 – x5)1/5, then fof(x) = ___________.
Answer» If f : R → R be defined by f(x) = (2 – x⁵)^1/5, then fof(x) = ___________.

Discussion

5369.	32. SOLUTION OF TRIANGLES : In a triangle ABC, the angles A, B, C are in A.P. Show that :2cos [(A-C)/2] = (a+c)/sqrt(a²-ac+c²)
Answer» 32. SOLUTION OF TRIANGLES : In a triangle ABC, the angles A, B, C are in A.P. Show that :2cos [(A-C)/2] = (a+c)/sqrt(a²-ac+c²)

Discussion

5370.	Goutham takes 497 h to deliver 3,976 food packets to the houses on his route. What is the rate per hour at which he delivers food packets?
Answer» Goutham takes 497 h to deliver 3,976 food packets to the houses on his route. What is the rate per hour at which he delivers food packets?

Discussion

5371.	A car moves a distance of 200 m. It covers the first half of the distance at speed 40 km/h and second half of the distance at speed v. The average speed is 48 km/h. The value of v isa) 56 km/hb) 60 km/hc) 50 km/hd) 58 km/h
Answer» A car moves a distance of 200 m. It covers the first half of the distance at speed 40 km/h and second half of the distance at speed v. The average speed is 48 km/h. The value of v is a) 56 km/h b) 60 km/h c) 50 km/h d) 58 km/h

Discussion

5372.	Question 65l varies directly as m and l =5, when m=23. Find l when m =163
Answer» Question 65 l varies directly as m and l =5, when $m = \frac{2}{3}$ . Find l when m $= \frac{16}{3}$

5372.

Question 65l varies directly as m and l =5, when m=23. Find l when m =163

Answer»

Question 65

l varies directly as m and l =5, when $m = \frac{2}{3}$ . Find l when m $= \frac{16}{3}$

Discussion

5373.	In given figure,Akram is standing at point Z and he wants football which is kept at point X but he want to reach from shorter path. Which is the shorter path for him to reach football?
Answer» In given figure,Akram is standing at point Z and he wants football which is kept at point X but he want to reach from shorter path. Which is the shorter path for him to reach football?

Discussion

5374.	A train 150 m long is travelling at a speed of 46 km/hr. A man is running at a speed of 8 km/hr in a direction opposite to the motion of the train. What would be the time taken by the train to cross the man (in seconds)?
Answer» A train 150 m long is travelling at a speed of 46 km/hr. A man is running at a speed of 8 km/hr in a direction opposite to the motion of the train. What would be the time taken by the train to cross the man (in seconds)?

Discussion

5375.	Select the expression that is equivalent to 512 ÷ 56.
Answer» Select the expression that is equivalent to $5^{12} \div 5^{6}$ .

Discussion

5376.	16. AD is perpendicular to the side BC of an equilateral Triangle ABC .Prove that 4ADsquare =3ABsquare .
Answer» 16. AD is perpendicular to the side BC of an equilateral Triangle ABC .Prove that 4ADsquare =3ABsquare .

Discussion

5377.	Question 30 If the radius of a circle is increased to twice its original length, how much will the area of the circle increase? (a) 1.4 times (b) 2 times (c) 3 times (d) 4 times
Answer» Question 30 If the radius of a circle is increased to twice its original length, how much will the area of the circle increase? (a) 1.4 times (b) 2 times (c) 3 times (d) 4 times

Discussion

5378.	Is eight million nine thousand six hundred ninty six divisible by 8?Answer in Yes/ No.
Answer» Is eight million nine thousand six hundred ninty six divisible by $8 ?$ Answer in Yes/ No.

Discussion

5379.	Question 2(a):Identify three triangles in the figure:
Answer» Question 2(a): Identify three triangles in the figure:

5379.

Question 2(a):Identify three triangles in the figure:

Answer»

Question 2(a):

Identify three triangles in the figure:

Discussion

5380.	Subtract 4a−7ab+3b+12 from 12a−9ab+5b−3.
Answer» Subtract $4 a - 7 a b + 3 b + 12$ from $12 a - 9 a b + 5 b - 3$ .

Discussion

5381.	Which number(s) must be subtracted from 3173 to make it divisible by 8?
Answer» Which number(s) must be subtracted from $3173$ to make it divisible by $8 ?$

Discussion

5382.	Question 87Solve the following question:Write the first five square numbers.
Answer» Question 87 Solve the following question: Write the first five square numbers.

5382.

Question 87Solve the following question:Write the first five square numbers.

Answer»

Question 87

Solve the following question:

Write the first five square numbers.

Discussion

5383.	Subtract -4x + 6 from -5x + 8 and then add 2x + 3 to the result
Answer» Subtract -4x + 6 from -5x + 8 and then add 2x + 3 to the result

Discussion

5384.	The exponent of 10 in the standard form of 465348.986 is __
Answer» The exponent of 10 in the standard form of 465348.986 is __

Discussion

5385.	A ribbon of length 21/4 is cut into small pieces each of length 3/4m. What will be the number of pieces?
Answer» A ribbon of length 21/4 is cut into small pieces each of length 3/4m. What will be the number of pieces?

Discussion

5386.	81.How and why is ammonia considered to have a three fold axis of symmetry?
Answer» 81.How and why is ammonia considered to have a three fold axis of symmetry?

Discussion

5387.	If a regular polygon having side length as 5 m and perimeter as 40 cm, then the number of sides polygon has is -
Answer» If a regular polygon having side length as 5 m and perimeter as 40 cm, then the number of sides polygon has is -

Discussion

5388.	A room 9.5m long and 6m wide is surrounded by a 1.25m wide verandah. Calculate the cost of cementing the floor of this verandah at Rs.80 per m2.
Answer» A room $9.5 m$ long and $6 m$ wide is surrounded by a $1.25 m$ wide verandah. Calculate the cost of cementing the floor of this verandah at $R s .80$ per $m^{2}$ .

Discussion

5389.	Question 71(i)It is given that l varies directly as m.Write an equation which relates l and m.
Answer» Question 71(i) It is given that l varies directly as m. Write an equation which relates l and m.

5389.

Question 71(i)It is given that l varies directly as m.Write an equation which relates l and m.

Answer»

Question 71(i)

It is given that l varies directly as m.

Write an equation which relates l and m.

Discussion

5390.	Can a polyhedron have V = F = 9 and E = 16 ? If yes, draw its figure.
Answer» Can a polyhedron have V = F = 9 and E = 16 ? If yes, draw its figure.

Discussion

5391.	What is the highest coefficient, amongstall the terms, in the given polynomial4x3+6x+7 ? 7
Answer» What is the highest coefficient, amongst all the terms, in the given polynomial $4 x^{3} + 6 x + 7$ ? 7

Discussion

5392.	If 5x3−4=2x5, then the numerical value of 2x−7 is ____.
Answer» If $\frac{5 x}{3} - 4 = \frac{2 x}{5}$ , then the numerical value of $2 x - 7$ is ____.

Discussion

5393.	The cost of an article is ₹15000 and ₹500 is spent on its repair. If the article is sold at a profit of 20%, then what is the selling price of the article?18600
Answer» The cost of an article is ₹15000 and ₹500 is spent on its repair. If the article is sold at a profit of 20%, then what is the selling price of the article? 18600

Discussion

5394.	If 9 litres of milk is divided among 4 children equally, then each child gets litres.
Answer» If 9 litres of milk is divided among 4 children equally, then each child gets litres.

Discussion

5395.	Question 84Solve the following:The sum of three consecutive even natural numbers is 48. Find the greatest of these numbers.
Answer» Question 84 Solve the following: The sum of three consecutive even natural numbers is 48. Find the greatest of these numbers.

5395.

Question 84Solve the following:The sum of three consecutive even natural numbers is 48. Find the greatest of these numbers.

Answer»

Question 84

Solve the following:

The sum of three consecutive even natural numbers is 48. Find the greatest of these numbers.

Discussion

5396.	P and Q are respectively the mid points of side AB and BC of triangle ABC and R is the mid point of AP, show thatI) ar(PRQ) = 1/2 ar(ARC) ii) ar(RAC) = 3/8 ar(ABC) iii) ar(PBA) = ar(ARC)
Answer» P and Q are respectively the mid points of side AB and BC of triangle ABC and R is the mid point of AP, show that I) ar(PRQ) = 1/2 ar(ARC) ii) ar(RAC) = 3/8 ar(ABC) iii) ar(PBA) = ar(ARC)

Discussion

5397.	What is the value of expression (1.25)2×(8)2?
Answer» What is the value of expression $(1.25)^{2} \times (8)^{2}$ ?

Discussion

5398.	What must be subtracted from 1729 to get a perfect square?
Answer» What must be subtracted from 1729 to get a perfect square?

Discussion

5399.	The following pie-chart represents the marks scored by a student. If he obtained 540 as total marks, answer the following: In which subject did the student score 120 marks?
Answer» The following pie-chart represents the marks scored by a student. If he obtained $540$ as total marks, answer the following: In which subject did the student score $120$ marks?

5399.

The following pie-chart represents the marks scored by a student. If he obtained 540 as total marks, answer the following: In which subject did the student score 120 marks?

Answer»

The following pie-chart represents the marks scored by a student. If he obtained $540$ as total marks, answer the following:

In which subject did the student score $120$ marks?

Discussion

5400.	Question 110Solve the followingFor what value of x is the perimeter of shape 77 cm?
Answer» Question 110 Solve the following For what value of x is the perimeter of shape 77 cm?

5400.

Question 110Solve the followingFor what value of x is the perimeter of shape 77 cm?

Answer»

Question 110

Solve the following

For what value of x is the perimeter of shape 77 cm?

Discussion

Explore topic-wise InterviewSolutions in .

Question 35In the question given below, fill in the blank to make the statement true:The product of two terms with unlike signs is a ___ term.

Raju has a debt of ₹6000. He recieves ₹10000 as his salary for the current month.Use integers to represent his bank balance before and after he gets his salary.

If a=x, then for what value of x does the equation x+a2=(2x−5) hold true?

Question 128State whether the statements are True or False.If diagonals of a quadrilateral bisect each other, it must be a parallelogram.

Fill in the blank with a number that follows the sequence : , 39, 52, 65

What is the frequency denoted by these tallies.(a)(b)(c)(d)

Question 6ABC is an equilateral triangle of side 2a. Find each of its altitudes.

Question 15 The measure fo an angle which is four times its supplement, is (a) 36∘ (b) 144∘ (c) 16∘ (d) 64∘

z is an integer such that z≥5. Select the correct representation on the number line.

Question 75 State whether the statement is True or False. The sum of the measures of three angles of a triangle is greater than 180∘.

Find the marked price.Selling price = Rs.810; rate of discount = 40%

The base of a parallelogram is 5 inches and its height is twice its base. Find the area of parallelogram.

Question 47 By which of the following criterion two triangles cannot be proved congruent? a) AAA b) SSS c) SAS d) ASA

What is the formula of area and perimeter of square, rectangle and triangle?

Identify the bar having maximum frequency in the given histogram?

Find the area of an iscoceles triangle whose base is 16 cm, and length of each side = 10 cm.

If f : R → R be defined by f(x) = (2 – x5)1/5, then fof(x) = ___________.

32. SOLUTION OF TRIANGLES : In a triangle ABC, the angles A, B, C are in A.P. Show that :2cos [(A-C)/2] = (a+c)/sqrt(a²-ac+c²)

Goutham takes 497 h to deliver 3,976 food packets to the houses on his route. What is the rate per hour at which he delivers food packets?

A car moves a distance of 200 m. It covers the first half of the distance at speed 40 km/h and second half of the distance at speed v. The average speed is 48 km/h. The value of v isa) 56 km/hb) 60 km/hc) 50 km/hd) 58 km/h

Question 65l varies directly as m and l =5, when m=23. Find l when m =163

In given figure,Akram is standing at point Z and he wants football which is kept at point X but he want to reach from shorter path. Which is the shorter path for him to reach football?

A train 150 m long is travelling at a speed of 46 km/hr. A man is running at a speed of 8 km/hr in a direction opposite to the motion of the train. What would be the time taken by the train to cross the man (in seconds)?

Select the expression that is equivalent to 512 ÷ 56.

16. AD is perpendicular to the side BC of an equilateral Triangle ABC .Prove that 4ADsquare =3ABsquare .

Question 30 If the radius of a circle is increased to twice its original length, how much will the area of the circle increase? (a) 1.4 times (b) 2 times (c) 3 times (d) 4 times

Is eight million nine thousand six hundred ninty six divisible by 8?Answer in Yes/ No.

Question 2(a):Identify three triangles in the figure:

Subtract 4a−7ab+3b+12 from 12a−9ab+5b−3.

Which number(s) must be subtracted from 3173 to make it divisible by 8?

Question 87Solve the following question:Write the first five square numbers.

Subtract -4x + 6 from -5x + 8 and then add 2x + 3 to the result

The exponent of 10 in the standard form of 465348.986 is __

A ribbon of length 21/4 is cut into small pieces each of length 3/4m. What will be the number of pieces?

81.How and why is ammonia considered to have a three fold axis of symmetry?

If a regular polygon having side length as 5 m and perimeter as 40 cm, then the number of sides polygon has is -

A room 9.5m long and 6m wide is surrounded by a 1.25m wide verandah. Calculate the cost of cementing the floor of this verandah at Rs.80 per m2.

Question 71(i)It is given that l varies directly as m.Write an equation which relates l and m.

Can a polyhedron have V = F = 9 and E = 16 ? If yes, draw its figure.

What is the highest coefficient, amongstall the terms, in the given polynomial4x3+6x+7 ? 7

If 5x3−4=2x5, then the numerical value of 2x−7 is ____.

The cost of an article is ₹15000 and ₹500 is spent on its repair. If the article is sold at a profit of 20%, then what is the selling price of the article?18600

If 9 litres of milk is divided among 4 children equally, then each child gets litres.

Question 84Solve the following:The sum of three consecutive even natural numbers is 48. Find the greatest of these numbers.

P and Q are respectively the mid points of side AB and BC of triangle ABC and R is the mid point of AP, show thatI) ar(PRQ) = 1/2 ar(ARC) ii) ar(RAC) = 3/8 ar(ABC) iii) ar(PBA) = ar(ARC)

What is the value of expression (1.25)2×(8)2?

What must be subtracted from 1729 to get a perfect square?

The following pie-chart represents the marks scored by a student. If he obtained 540 as total marks, answer the following: In which subject did the student score 120 marks?

Question 110Solve the followingFor what value of x is the perimeter of shape 77 cm?