19743 + Interview Questions in Mathematics Page 179 InterviewSolution

8901.	Identify the linear pair of angles in the above problem.
Answer» Identify the linear pair of angles in the above problem.

8901.

Identify the linear pair of angles in the above problem.

Answer»

Identify the linear pair of angles in the above problem.

8902.	Is infinity a variable or constant?
Answer» Is infinity a variable or constant?

Discussion

8903.	Question 5 What should be subtracted from 3x2−4y2+5xy+20 to obtain −x2−y2+6xy+20?
Answer» Question 5 What should be subtracted from $3 x^{2} - 4 y^{2} + 5 x y + 20$ to obtain $- x^{2} - y^{2} + 6 x y + 20$ ?

8903.

Question 5 What should be subtracted from 3x2−4y2+5xy+20 to obtain −x2−y2+6xy+20?

Answer»

Question 5

What should be subtracted from $3 x^{2} - 4 y^{2} + 5 x y + 20$ to obtain $- x^{2} - y^{2} + 6 x y + 20$ ?

Discussion

8904.	The saplings are planted at a distance of 2 m 50 cm along the road of length 5 km by Saravanan. If he has 2560 saplings, how many saplings will be planted by him? How many saplings are left?
Answer» The saplings are planted at a distance of 2 m 50 cm along the road of length 5 km by Saravanan. If he has 2560 saplings, how many saplings will be planted by him? How many saplings are left?

Discussion

8905.	a small heavy body is attached to the lower end of a light rid of length l, which can be rotated about its clamped upper end. what minimum horizontal velocity should the block be given so that it moves in a complete vertical circle?
Answer» a small heavy body is attached to the lower end of a light rid of length l, which can be rotated about its clamped upper end. what minimum horizontal velocity should the block be given so that it moves in a complete vertical circle?

Discussion

8906.	I have 14 apples with me of which 27th of them were spoilt. After selling off some of them, I was left with 15th of the fresh apples. Half of the remaining apples were eaten up by my wife.Enter the total number of apples which are left with me. ___
Answer» I have 14 apples with me of which ${\frac{2}{7}}^{t h}$ of them were spoilt. After selling off some of them, I was left with ${\frac{1}{5}}^{t h}$ of the fresh apples. Half of the remaining apples were eaten up by my wife. Enter the total number of apples which are left with me. ___

8906.

I have 14 apples with me of which 27th of them were spoilt. After selling off some of them, I was left with 15th of the fresh apples. Half of the remaining apples were eaten up by my wife.Enter the total number of apples which are left with me. ___

Answer»

I have 14 apples with me of which ${\frac{2}{7}}^{t h}$ of them were spoilt. After selling off some of them, I was left with ${\frac{1}{5}}^{t h}$ of the fresh apples. Half of the remaining apples were eaten up by my wife.

Enter the total number of apples which are left with me. ___

Discussion

8907.	Question 31Fill in the blanks to make each statement true:The denominator of a rational number is greater than the numerator by 10. If the numerator is increased by 1 and the denominator is decreased by 1, then expression for new denominator is ..............
Answer» Question 31 Fill in the blanks to make each statement true: The denominator of a rational number is greater than the numerator by 10. If the numerator is increased by 1 and the denominator is decreased by 1, then expression for new denominator is ..............

8907.

Question 31Fill in the blanks to make each statement true:The denominator of a rational number is greater than the numerator by 10. If the numerator is increased by 1 and the denominator is decreased by 1, then expression for new denominator is ..............

Answer»

Question 31

Fill in the blanks to make each statement true:

The denominator of a rational number is greater than the numerator by 10. If the numerator is increased by 1 and the denominator is decreased by 1, then expression for new denominator is ..............

Discussion

8908.	Which of the following gift designs does not have any line of symmetry?
Answer» Which of the following gift designs does not have any line of symmetry?

Discussion

8909.	The letter S has ___.
Answer» The letter S has ___.

Discussion

8910.	Simplify: (2pq+2qr)2−8pq2r
Answer» Simplify: ${(2 p q + 2 q r)}^{2} - 8 p q^{2} r$

Discussion

8911.	If 56×52x=510, then find x.
Answer» If $5^{6} \times 5^{2 x} = 5^{10}$ , then find x.

Discussion

8912.	Find the value of 'x' in 4x+10+3x=52
Answer» Find the value of 'x' in 4x+10+3x=52

Discussion

8913.	What is the mean of the numbers 5,6 and 7
Answer» What is the mean of the numbers 5,6 and 7

Discussion

8914.	The mean of 100 observations is 50. If one of the observations which was 50 is replaced by 150, the resulting will be (a) 50.5(b) 51(c) 51.5(d) 52
Answer» The mean of 100 observations is 50. If one of the observations which was 50 is replaced by 150, the resulting will be (a) 50.5 (b) 51 (c) 51.5 (d) 52

Discussion

8915.	Question 5 (iii)For the following number, find the smallest whole number by which it should be multiplied so as to get a perfect square number. Also, find the square root of the square number so obtained:1008
Answer» Question 5 (iii) For the following number, find the smallest whole number by which it should be multiplied so as to get a perfect square number. Also, find the square root of the square number so obtained: 1008

8915.

Question 5 (iii)For the following number, find the smallest whole number by which it should be multiplied so as to get a perfect square number. Also, find the square root of the square number so obtained:1008

Answer»

Question 5 (iii)

For the following number, find the smallest whole number by which it should be multiplied so as to get a perfect square number. Also, find the square root of the square number so obtained:

1008

Discussion

8916.	If 1100 people like playing cricket, then what is the total number of people who took the survey?
Answer» If 1100 people like playing cricket, then what is the total number of people who took the survey?

8916.

If 1100 people like playing cricket, then what is the total number of people who took the survey?

Answer»

If 1100 people like playing cricket, then what is the total number of people who took the survey?

Discussion

8917.	A bag contains 5 blue and 4 black balls.Three are drawn at random .What is the probability that 2 are blue and 1 is blac
Answer» A bag contains 5 blue and 4 black balls.Three are drawn at random .What is the probability that 2 are blue and 1 is blac

Discussion

8918.	In a parallelogram ABCD, AB = 6 cm and BC = 4 cm. The height corresponding to the base AB is 3 cm. Find the area of the parallelogram.
Answer» In a parallelogram ABCD, AB = 6 cm and BC = 4 cm. The height corresponding to the base AB is 3 cm. Find the area of the parallelogram.

Discussion

8919.

मोर के बोलने पर कवि को लगा जैसे किसी ने कहा हो-'सुनते हो'। नीचे दिए गए पक्षियों की बोली सुनकर उन्हें भी एक या दो शब्दों में बाँधिए-कबूतर कौआ मैनातोता चील हंस

Answer»

मोर के बोलने पर कवि को लगा जैसे किसी ने कहा हो-'सुनते हो'। नीचे दिए गए पक्षियों की बोली सुनकर उन्हें भी एक या दो शब्दों में बाँधिए-

कबूतर कौआ मैना

तोता चील हंस

Discussion

8920.	Product of two numbers is zero. If one of them is -567, then the other numbers is
Answer» Product of two numbers is zero. If one of them is -567, then the other numbers is

Discussion

8921.	If on adding 9 to twice of a whole number gives 31, then the whole number is
Answer» If on adding 9 to twice of a whole number gives 31, then the whole number is

Discussion

8922.	Scientific notation of 7540000 is
Answer» Scientific notation of $7540000$ is

Discussion

8923.	Which of the following will fold to form a cube?
Answer» Which of the following will fold to form a cube?

Discussion

8924.	8. Divide f(x)by g(x) and find the quotient and remainder f(x)=x3-6x2+11x-6,g(x)=x+2
Answer» 8. Divide f(x)by g(x) and find the quotient and remainder f(x)=x3-6x2+11x-6,g(x)=x+2

Discussion

8925.	There are 20 girls and 15 boys in a class.What is the ratio of numbers of girls to the number of boys?
Answer» There are 20 girls and 15 boys in a class. What is the ratio of numbers of girls to the number of boys?

8925.

There are 20 girls and 15 boys in a class.What is the ratio of numbers of girls to the number of boys?

Answer»

There are 20 girls and 15 boys in a class.

What is the ratio of numbers of girls to the number of boys?

Discussion

8926.	Which of the following should be the FIRST sentence after rearrangement?
Answer» Which of the following should be the FIRST sentence after rearrangement?

Discussion

8927.	In the figure below, if AB = BD = DC and AC = 15 cm then BC is:
Answer» In the figure below, if AB = BD = DC and AC = 15 cm then BC is:

8927.

In the figure below, if AB = BD = DC and AC = 15 cm then BC is:

Answer»

In the figure below, if AB = BD = DC and AC = 15 cm then BC is:

Discussion

8928.	If the sum of the distances of a point from two perpendicular lines in a plane is 1, then its locus is:a) square c) a straight lineb)a circle d) intersecting lines
Answer» If the sum of the distances of a point from two perpendicular lines in a plane is 1, then its locus is: a) square c) a straight line b)a circle d) intersecting lines

Discussion

8929.	Question 6 In a triangle, one angle is of 90∘. Then, i) The other two angles are 45∘ each. ii) In remaining two angles, one angle is 90∘ and other is 45∘ iii) Remaining two angles are complementary In the given option(s) which is true? a) (i) only b) (ii) only c) (iii) only d) (i) and (ii)
Answer» Question 6 In a triangle, one angle is of $90^{\circ}$ . Then, i) The other two angles are $45^{\circ}$ each. ii) In remaining two angles, one angle is $90^{\circ}$ and other is $45^{\circ}$ iii) Remaining two angles are complementary In the given option(s) which is true? a) (i) only b) (ii) only c) (iii) only d) (i) and (ii)

8929.

Question 6 In a triangle, one angle is of 90∘. Then, i) The other two angles are 45∘ each. ii) In remaining two angles, one angle is 90∘ and other is 45∘ iii) Remaining two angles are complementary In the given option(s) which is true? a) (i) only b) (ii) only c) (iii) only d) (i) and (ii)

Answer»

Question 6

In a triangle, one angle is of $90^{\circ}$ . Then,

i) The other two angles are $45^{\circ}$ each.
ii) In remaining two angles, one angle is $90^{\circ}$ and other is $45^{\circ}$
iii) Remaining two angles are complementary

In the given option(s) which is true?

a) (i) only
b) (ii) only
c) (iii) only
d) (i) and (ii)

Discussion

8930.	Let G be a graph with 100! vertices, with each vertex labelled by a distinct permutation of the numbers 1, 2, ... 100. there is an edge between vertices u and v if and only if the label of u can be obtained by swapping two adjacent numbers in the label of v. Let y denote the degree of a vertex in G and z denote the number of connected components in G.Then, y + 10z = 109
Answer» Let G be a graph with 100! vertices, with each vertex labelled by a distinct permutation of the numbers 1, 2, ... 100. there is an edge between vertices u and v if and only if the label of u can be obtained by swapping two adjacent numbers in the label of v. Let y denote the degree of a vertex in G and z denote the number of connected components in G. Then, y + 10z = 109

Discussion

8931.	One fine morning, Ted woke up and found his dad gardening. His dad was planning to fence the garden with plants. How many saplings should he buy so that his dad can fence the garden with 5 plants every 2.5 metres?
Answer» One fine morning, Ted woke up and found his dad gardening. His dad was planning to fence the garden with plants. How many saplings should he buy so that his dad can fence the garden with 5 plants every 2.5 metres?

8931.

One fine morning, Ted woke up and found his dad gardening. His dad was planning to fence the garden with plants. How many saplings should he buy so that his dad can fence the garden with 5 plants every 2.5 metres?

Answer»

One fine morning, Ted woke up and found his dad gardening. His dad was planning to fence the garden with plants. How many saplings should he buy so that his dad can fence the garden with 5 plants every 2.5 metres?

Discussion

8932.	In the given figure, find tan P and cot R. Is tan P = cot R?
Answer» In the given figure, find tan P and cot R. Is tan P = cot R?

Discussion

8933.	What is the minimum interior angle possible for a regular polygon? Why?
Answer» What is the minimum interior angle possible for a regular polygon? Why?

Discussion

8934.	The number of solutions of an equation 2(2x−3)7=6 is
Answer» The number of solutions of an equation $\frac{2 (2 x - 3)}{7} = 6$ is

Discussion

8935.	If A = {5, 6, 7, 8} B = {7, 8, 9, 11}, A ∪ B =
Answer» If A = {5, 6, 7, 8} B = {7, 8, 9, 11}, A $\cup$ B =

Discussion

8936.	Solve the following simultaneous equations.(1) 3a + 5b = 26; a + 5b = 22(2) x + 7y = 10; 3x – 2y = 7(3) 2x – 3y = 9; 2x + y = 13(4) 5m – 3n = 19; m – 6n = –7(5) 5x + 2y = –3; x + 5y = 4(6) 13x+y=103; 2x+14y=114(7) 99x + 101y = 499; 101x + 99y = 501(8) 49x – 57y = 172; 57x – 49y = 252
Answer» Solve the following simultaneous equations. (1) 3a + 5b = 26; a + 5b = 22 (2) x + 7y = 10; 3x – 2y = 7 (3) 2x – 3y = 9; 2x + y = 13 (4) 5m – 3n = 19; m – 6n = –7 (5) 5x + 2y = –3; x + 5y = 4 (6) $\frac{1}{3} x + y = \frac{10}{3}; 2 x + \frac{1}{4} y = \frac{11}{4}$ (7) 99x + 101y = 499; 101x + 99y = 501 (8) 49x – 57y = 172; 57x – 49y = 252

Discussion

8937.	Question 56 Fill in the blanks to make the statement true. In an isosceles triangle, angles opposite to equal sides are ___
Answer» Question 56 Fill in the blanks to make the statement true. In an isosceles triangle, angles opposite to equal sides are ___

8937.

Question 56 Fill in the blanks to make the statement true. In an isosceles triangle, angles opposite to equal sides are ___

Answer»

Question 56

Fill in the blanks to make the statement true.

In an isosceles triangle, angles opposite to equal sides are ___

Discussion

8938.	14.The maximum value of 3sinx + 4cosx is 1) 3 2) 4 3) 5 4) 6
Answer» 14.The maximum value of 3sinx + 4cosx is 1) 3 2) 4 3) 5 4) 6

Discussion

8939.	Which of the following number(s) is/ are perfect square of prime number(s)?
Answer» Which of the following number(s) is/ are perfect square of prime number(s)?

Discussion

8940.	Find the GCD of 30, 49 and 63.1
Answer» Find the GCD of 30, 49 and 63. 1

Discussion

8941.	Construct a △ ABC in which BC = 4.5 cm, ∠B=45∘ and AB + AC = 8 cm. Write steps of construction.
Answer» Construct a $△$ ABC in which BC = 4.5 cm, $∠ B = 45^{\circ}$ and AB + AC = 8 cm. Write steps of construction.

Discussion

8942.	Draw a circle of any radius and divide it in three equal parts using protractor.
Answer» Draw a circle of any radius and divide it in three equal parts using protractor.

Discussion

8943.	Question 7 In which quadrant or on which axis each of the following points lies? (-3, 5), (4, -1), (2, 0), (2, 2), (-3, -6)
Answer» Question 7 In which quadrant or on which axis each of the following points lies? (-3, 5), (4, -1), (2, 0), (2, 2), (-3, -6)

Discussion

8944.	A shop keeper sells sugar in such a way that the selling price of 950 gm is the same as the cost price of one kg. Find his gain .
Answer» A shop keeper sells sugar in such a way that the selling price of 950 gm is the same as the cost price of one kg. Find his gain .

Discussion

8945.	Find the rate of discount.Marked price = Rs. 550; Selling price = Rs. 495
Answer» Find the rate of discount. Marked price = Rs. 550; Selling price = Rs. 495

8945.

Find the rate of discount.Marked price = Rs. 550; Selling price = Rs. 495

Answer»

Find the rate of discount.

Marked price = Rs. 550; Selling price = Rs. 495

Discussion

8946.	Question 81Find the area of the shaded portion in the following figures.
Answer» Question 81 Find the area of the shaded portion in the following figures.

8946.

Question 81Find the area of the shaded portion in the following figures.

Answer»

Question 81

Find the area of the shaded portion in the following figures.

Discussion

8947.	If 3 is multiplied 'a' times with itself and equals 81, then a = __
Answer» If 3 is multiplied 'a' times with itself and equals 81, then a = __

Discussion

8948.	Mark the correct alternative in the following question:The maximum length of the side of a square sheet that can be cut off from a rectangular sheet of size 8 m × 3 m is(a) 3 m (b) 4 m (c) 6 m (d) 4 m
Answer» Mark the correct alternative in the following question: The maximum length of the side of a square sheet that can be cut off from a rectangular sheet of size 8 m $\times$ 3 m is (a) 3 m (b) 4 m (c) 6 m (d) 4 m

Discussion

8949.	The solution of equation "9q + 5 = 86" is:
Answer» The solution of equation "9q + 5 = 86" is:

Discussion

8950.	Feeble Ltd.issued 10% Debentures at 94% for ₹ 20,00,000 on 1st July, 2013 repayable by five equal annual installments of ₹ 4,00,000 each starting from 30th June, 2014. Calculate the amount of discount to be written off in every accounting year assuming that the company decides to write off the debentures discount during the life of the debentures.
Answer» Feeble Ltd.issued 10% Debentures at 94% for ₹ 20,00,000 on 1st July, 2013 repayable by five equal annual installments of ₹ 4,00,000 each starting from 30th June, 2014. Calculate the amount of discount to be written off in every accounting year assuming that the company decides to write off the debentures discount during the life of the debentures.

Discussion

Explore topic-wise InterviewSolutions in .

Identify the linear pair of angles in the above problem.

Is infinity a variable or constant?

Question 5 What should be subtracted from 3x2−4y2+5xy+20 to obtain −x2−y2+6xy+20?

The saplings are planted at a distance of 2 m 50 cm along the road of length 5 km by Saravanan. If he has 2560 saplings, how many saplings will be planted by him? How many saplings are left?

a small heavy body is attached to the lower end of a light rid of length l, which can be rotated about its clamped upper end. what minimum horizontal velocity should the block be given so that it moves in a complete vertical circle?

I have 14 apples with me of which 27th of them were spoilt. After selling off some of them, I was left with 15th of the fresh apples. Half of the remaining apples were eaten up by my wife.Enter the total number of apples which are left with me. ___

Question 31Fill in the blanks to make each statement true:The denominator of a rational number is greater than the numerator by 10. If the numerator is increased by 1 and the denominator is decreased by 1, then expression for new denominator is ..............

Which of the following gift designs does not have any line of symmetry?

The letter S has ___.

Simplify: (2pq+2qr)2−8pq2r

If 56×52x=510, then find x.

Find the value of 'x' in 4x+10+3x=52

What is the mean of the numbers 5,6 and 7

The mean of 100 observations is 50. If one of the observations which was 50 is replaced by 150, the resulting will be (a) 50.5(b) 51(c) 51.5(d) 52

Question 5 (iii)For the following number, find the smallest whole number by which it should be multiplied so as to get a perfect square number. Also, find the square root of the square number so obtained:1008

If 1100 people like playing cricket, then what is the total number of people who took the survey?

A bag contains 5 blue and 4 black balls.Three are drawn at random .What is the probability that 2 are blue and 1 is blac

In a parallelogram ABCD, AB = 6 cm and BC = 4 cm. The height corresponding to the base AB is 3 cm. Find the area of the parallelogram.

Product of two numbers is zero. If one of them is -567, then the other numbers is

If on adding 9 to twice of a whole number gives 31, then the whole number is

Scientific notation of 7540000 is

Which of the following will fold to form a cube?

8. Divide f(x)by g(x) and find the quotient and remainder f(x)=x3-6x2+11x-6,g(x)=x+2

There are 20 girls and 15 boys in a class.What is the ratio of numbers of girls to the number of boys?

Which of the following should be the FIRST sentence after rearrangement?

In the figure below, if AB = BD = DC and AC = 15 cm then BC is:

If the sum of the distances of a point from two perpendicular lines in a plane is 1, then its locus is:a) square c) a straight lineb)a circle d) intersecting lines

Question 6 In a triangle, one angle is of 90∘. Then, i) The other two angles are 45∘ each. ii) In remaining two angles, one angle is 90∘ and other is 45∘ iii) Remaining two angles are complementary In the given option(s) which is true? a) (i) only b) (ii) only c) (iii) only d) (i) and (ii)

One fine morning, Ted woke up and found his dad gardening. His dad was planning to fence the garden with plants. How many saplings should he buy so that his dad can fence the garden with 5 plants every 2.5 metres?

In the given figure, find tan P and cot R. Is tan P = cot R?

What is the minimum interior angle possible for a regular polygon? Why?

The number of solutions of an equation 2(2x−3)7=6 is

If A = {5, 6, 7, 8} B = {7, 8, 9, 11}, A ∪ B =

Question 56 Fill in the blanks to make the statement true. In an isosceles triangle, angles opposite to equal sides are ___

14.The maximum value of 3sinx + 4cosx is 1) 3 2) 4 3) 5 4) 6

Which of the following number(s) is/ are perfect square of prime number(s)?

Find the GCD of 30, 49 and 63.1

Construct a △ ABC in which BC = 4.5 cm, ∠B=45∘ and AB + AC = 8 cm. Write steps of construction.

Draw a circle of any radius and divide it in three equal parts using protractor.

Question 7 In which quadrant or on which axis each of the following points lies? (-3, 5), (4, -1), (2, 0), (2, 2), (-3, -6)

A shop keeper sells sugar in such a way that the selling price of 950 gm is the same as the cost price of one kg. Find his gain .

Find the rate of discount.Marked price = Rs. 550; Selling price = Rs. 495

Question 81Find the area of the shaded portion in the following figures.

If 3 is multiplied 'a' times with itself and equals 81, then a = __

Mark the correct alternative in the following question:The maximum length of the side of a square sheet that can be cut off from a rectangular sheet of size 8 m × 3 m is(a) 3 m (b) 4 m (c) 6 m (d) 4 m

The solution of equation "9q + 5 = 86" is: