19743 + Interview Questions in Mathematics

1.	If Samsung has sold 21 million devices in 1st quarter and 23 million devices in the 2nd quarter, then what is the ratio of sales of Samsung devices in the 1st and 2nd quarter ?
Answer» If Samsung has sold 21 million devices in 1st quarter and 23 million devices in the 2nd quarter, then what is the ratio of sales of Samsung devices in the 1st and 2nd quarter ?

Discussion

2.	Question 4 In the given figure, bisectors AP and BQ of the alternate interior angles are parallel, then show that l\|\|m.
Answer» Question 4 In the given figure, bisectors AP and BQ of the alternate interior angles are parallel, then show that $l \| \| m$ .

Discussion

3.	Question 5 In the given figure, POQ is a line. Ray OR is perpendicular to line PQ. OS is another ray lying between rays OP and OR. Prove that ∠ROS=12(∠QOS−∠POS).
Answer» Question 5 In the given figure, POQ is a line. Ray OR is perpendicular to line PQ. OS is another ray lying between rays OP and OR. Prove that $∠ R O S = \frac{1}{2} (∠ Q O S - ∠ P O S) .$

Discussion

4.	In the given figure, POQ is a line, then the valie of 'x' is
Answer» In the given figure, POQ is a line, then the valie of 'x' is

Discussion

5.	One pleasant morning, a number 'a' goes for a jog. Another number 'b' passes by 'a' and comments "I am four more than your half”. 'a' gets offended and starts shouting at 'b'. Now, both of them got into a big fight about their value and soon a big crowd gathered. A wise man, Krishna comes, looks at both the numbers, and says, "If you look closely, you are both equals.” 'a' and 'b' realised that the wise man was correct. What are the numbers 'a' and 'b'?
Answer» One pleasant morning, a number 'a' goes for a jog. Another number 'b' passes by 'a' and comments "I am four more than your half”. 'a' gets offended and starts shouting at 'b'. Now, both of them got into a big fight about their value and soon a big crowd gathered. A wise man, Krishna comes, looks at both the numbers, and says, "If you look closely, you are both equals.” 'a' and 'b' realised that the wise man was correct. What are the numbers 'a' and 'b'?

Discussion

6.	Simplify: (i)(−2i)(16i) (ii) (−i)(3i)(−16i)3 (iii) 4√−4+5√−9−3√−16
Answer» Simplify: (i) $(- 2 i) (\frac{1}{6} i)$ (ii) $(- i) (3 i) {(\frac{- 1}{6} i)}^{3}$ (iii) $4 \sqrt{- 4} + 5 \sqrt{- 9} - 3 \sqrt{- 16}$

Discussion

7.	Amrutha drove from bangalore to chennai at 80km/hr and returned at 100km/hr.Find the average speed.
Answer» Amrutha drove from bangalore to chennai at 80km/hr and returned at 100km/hr.Find the average speed.

Discussion

8.	Question 3 Sides of a triangular field are 15 m, 16 m and 17 m. With the three corners of the field a cow, a buffalo and a horse are tied separately with ropes of length 7m each to graze in the field. Find the area of the field which cannot be grazed by the three animals.
Answer» Question 3 Sides of a triangular field are 15 m, 16 m and 17 m. With the three corners of the field a cow, a buffalo and a horse are tied separately with ropes of length 7m each to graze in the field. Find the area of the field which cannot be grazed by the three animals.

Discussion

9.	If ABCD is a parallelogram, then the angle bisectors of ∠A and ∠D meet at ‘O’. The measure of ∠AOD is 45∘.
Answer» If ABCD is a parallelogram, then the angle bisectors of $∠ A$ and $∠ D$ meet at ‘O’. The measure of $∠ A O D$ is $45^{\circ}$ .

Discussion

10.	If x=1(2−√3), then find the value of (x3−2x2−7x+5).
Answer» If $x = \frac{1}{(2 - \sqrt{3}),}$ then find the value of $(x^{3} - 2 x^{2} - 7 x + 5)$ .

Discussion

11.	Match the exterior angles of △ABC with their corresponding interior opposite angles.
Answer» Match the exterior angles of $△ A B C$ with their corresponding interior opposite angles.

Discussion

12.	If two angles of a triangle are complementary then the third angle would be?
Answer» If two angles of a triangle are complementary then the third angle would be?

Discussion

13.	Find the product of (7x−4y) and (3x−7y).
Answer» $Find the product of (7 x - 4 y) and (3 x - 7 y) .$

Discussion

14.	Find the value of 1022+10201020.
Answer» Find the value of $\frac{10^{22} + 10^{20}}{10^{20}}$ .

Discussion

15.	Question 4(iii) Find 37÷87
Answer» Question 4(iii) Find $\frac{3}{7} \div \frac{8}{7}$

Discussion

16.	A baby dismantles a Rubik’s cube (fig.) of side 10 cm into its constituent cubes, of length 1 cm, and a core cube. How many cubes lie on the floor now? Fig. A sample Rubik’s Cube.
Answer» A baby dismantles a Rubik’s cube (fig.) of side 10 cm into its constituent cubes, of length 1 cm, and a core cube. How many cubes lie on the floor now? Fig. A sample Rubik’s Cube.

Discussion

17.	What should be added to 3xy−4a2+5b2+2 to get −5+4a2+2b2−7xy?
Answer» What should be added to $3 x y - 4 a^{2} + 5 b^{2} + 2$ to get $- 5 + 4 a^{2} + 2 b^{2} - 7 x y$ ?

Discussion

18.	What should be added to −57 to get −23? (a) −2921 (b) 2921 (c) 121 (d) −121
Answer» What should be added to $\frac{- 5}{7} to get \frac{- 2}{3}$ ? (a) $\frac{- 29}{21}$ (b) $\frac{29}{21}$ (c) $\frac{1}{21}$ (d) $\frac{- 1}{21}$

18.

What should be added to −57 to get −23? (a) −2921 (b) 2921 (c) 121 (d) −121

Answer»

What should be added to $\frac{- 5}{7} to get \frac{- 2}{3}$ ?

(a) $\frac{- 29}{21}$

(b) $\frac{29}{21}$

(c) $\frac{1}{21}$

(d) $\frac{- 1}{21}$

Discussion

19.	If 'a' and 'b' are any two integers, then a × (b + c) = (a × b) + (a × c). The property used here is ___ property.
Answer» If 'a' and 'b' are any two integers, then a × (b + c) = (a × b) + (a × c). The property used here is ___ property.

Discussion

20.	Can u say how to multiply whole number with a fraction
Answer» Can u say how to multiply whole number with a fraction

Discussion

21.	Match the two columns. Column−IColumn−IIA) In a parallelogram ABCDP) 68∘If ∠D=115∘, then the measureof ∠A isB) PQRS is a square such that PRQ) 58∘And SQ intersect at O. TheMeasure of ∠POQ isC) The diagonals of a rectangleR) 90∘ABCD meet at O. If ∠BOC=44∘,Then the measure of ∠OAD isD) If ABCD is a rectangle withS) 65∘∠BAC=32∘, then the measure of∠DBC is Choose the correct option:
Answer» Match the two columns. $\begin{matrix} C o l u m n - I & C o l u m n - I I A) I n a p a r a l l e l o g r a m A B C D & P) 68^{\circ} I f ∠ D = 115^{\circ}, t h e n t h e m e a s u r e o f ∠ A i s B) P Q R S i s a s q u a r e s u c h t h a t P R & Q) 58^{\circ} A n d S Q i n t e r s e c t a t O . T h e M e a s u r e o f ∠ P O Q i s C) T h e d i a g o n a l s o f a r e c t a n g l e & R) 90^{\circ} A B C D m e e t a t O . I f ∠ B O C = 44^{\circ}, T h e n t h e m e a s u r e o f ∠ O A D i s D) I f A B C D i s a r e c t a n g l e w i t h & S) 65^{\circ} ∠ B A C = 32^{\circ}, t h e n t h e m e a s u r e o f ∠ D B C i s \end{matrix}$ Choose the correct option:

21.

Match the two columns. Column−IColumn−IIA) In a parallelogram ABCDP) 68∘If ∠D=115∘, then the measureof ∠A isB) PQRS is a square such that PRQ) 58∘And SQ intersect at O. TheMeasure of ∠POQ isC) The diagonals of a rectangleR) 90∘ABCD meet at O. If ∠BOC=44∘,Then the measure of ∠OAD isD) If ABCD is a rectangle withS) 65∘∠BAC=32∘, then the measure of∠DBC is Choose the correct option:

Answer»

Match the two columns.

$\begin{matrix} C o l u m n - I & C o l u m n - I I A) I n a p a r a l l e l o g r a m A B C D & P) 68^{\circ} I f ∠ D = 115^{\circ}, t h e n t h e m e a s u r e o f ∠ A i s B) P Q R S i s a s q u a r e s u c h t h a t P R & Q) 58^{\circ} A n d S Q i n t e r s e c t a t O . T h e M e a s u r e o f ∠ P O Q i s C) T h e d i a g o n a l s o f a r e c t a n g l e & R) 90^{\circ} A B C D m e e t a t O . I f ∠ B O C = 44^{\circ}, T h e n t h e m e a s u r e o f ∠ O A D i s D) I f A B C D i s a r e c t a n g l e w i t h & S) 65^{\circ} ∠ B A C = 32^{\circ}, t h e n t h e m e a s u r e o f ∠ D B C i s \end{matrix}$

Choose the correct option:

Discussion

22.	Question 8 (b) (i) Provide the number in the box □ such that 35×□=2475 (ii) The simplest form of the number obtained in □ is ––––––––––
Answer» Question 8 (b) (i) Provide the number in the box $□$ such that $\frac{3}{5} \times □ = \frac{24}{75}$ (ii) The simplest form of the number obtained in $□$ is $- -------- -$

Discussion

23.	What is the square root of 3, approximated to 2 decimal places? (Please provide with figures for better understanding)
Answer» What is the square root of 3, approximated to 2 decimal places? (Please provide with figures for better understanding)

Discussion

24.	If the diameter of cross section of wire is decreased by 5%. How much percent will the length be increased so that the volume remains the same
Answer» If the diameter of cross section of wire is decreased by 5%. How much percent will the length be increased so that the volume remains the same

Discussion

25.	Question 78(iv) Study the double bar graph shown below and answer the questions that follow : Find the average sales of brand B for the six months.
Answer» Question 78(iv) Study the double bar graph shown below and answer the questions that follow : Find the average sales of brand B for the six months.

Discussion

26.	Question 76 1 subtracted from one-third of a number gives 1. Find the number.
Answer» Question 76 1 subtracted from one-third of a number gives 1. Find the number.

26.

Question 76 1 subtracted from one-third of a number gives 1. Find the number.

Answer»

Question 76

1 subtracted from one-third of a number gives 1. Find the number.

Discussion

27.	How many litres of water will have to be added to 600 litres of the 45% solution of acid so that the resulting mixture will contain more than 25%, but less than 30% acid content?
Answer» How many litres of water will have to be added to 600 litres of the 45% solution of acid so that the resulting mixture will contain more than 25%, but less than 30% acid content?

Discussion

28.	Please provide me the explanation of the chapter exponents with the help of pictures and videos
Answer» Please provide me the explanation of the chapter exponents with the help of pictures and videos

Discussion

29.	Two parallel lines l and m are by a transversal t. If the interior angles of the same side of the be (2x-8)° and (3x-7)°,find the measure of each of these angles.
Answer» Two parallel lines l and m are by a transversal t. If the interior angles of the same side of the be (2x-8)° and (3x-7)°,find the measure of each of these angles.

Discussion

30.	Triangle ABC is isosceles with AB =BC . If angle B is twice the measure of angle A find the measure of all the angles of the triangle.
Answer» Triangle ABC is isosceles with AB =BC . If angle B is twice the measure of angle A find the measure of all the angles of the triangle.

Discussion

31.	Complete the table of the product by multiplying the first monomial present along the row with the second monomial present along the column. Nos.First Monomial→second Monomial↓a2b2cd2−5p2(i)−ab−a3b3−abcd2(ii)−cd−a2b2cd−c2d3(iii)abcda3b3cdabc2d3
Answer» Complete the table of the product by multiplying the first monomial present along the row with the second monomial present along the column. $\begin{matrix} N o s . & F i r s t M o n o m i a l \to s e c o n d M o n o m i a l ↓ & a^{2} b^{2} & c d^{2} & - 5 p^{2} (i) & - a b & - a^{3} b^{3} & - a b c d^{2} (i i) & - c d & - a^{2} b^{2} c d & - c^{2} d^{3} (i i i) & a b c d & a^{3} b^{3} c d & a b c^{2} d^{3} \end{matrix}$

31.

Complete the table of the product by multiplying the first monomial present along the row with the second monomial present along the column. Nos.First Monomial→second Monomial↓a2b2cd2−5p2(i)−ab−a3b3−abcd2(ii)−cd−a2b2cd−c2d3(iii)abcda3b3cdabc2d3

Answer»

Complete the table of the product by multiplying the first monomial present along the row with the second monomial present along the column.

$\begin{matrix} N o s . & F i r s t M o n o m i a l \to s e c o n d M o n o m i a l ↓ & a^{2} b^{2} & c d^{2} & - 5 p^{2} (i) & - a b & - a^{3} b^{3} & - a b c d^{2} (i i) & - c d & - a^{2} b^{2} c d & - c^{2} d^{3} (i i i) & a b c d & a^{3} b^{3} c d & a b c^{2} d^{3} \end{matrix}$

Discussion

32.	If 5 men can build a wall in 12 days how many can build it in 10 days ???
Answer» If 5 men can build a wall in 12 days how many can build it in 10 days ???

Discussion

33.	Question 7 (ii) To know the opinion of the students about the subject statistics, a survey of 200 students was conducted. The data is recorded in the following table. OpinionNumber of studentslike135dislike65 Find the probability that a student chosen at random (ii) does not like it
Answer» Question 7 (ii) To know the opinion of the students about the subject statistics, a survey of 200 students was conducted. The data is recorded in the following table. $\begin{matrix} O p i n i o n & N u m b e r o f s t u d e n t s l i k e & 135 d i s l i k e & 65 \end{matrix}$ Find the probability that a student chosen at random (ii) does not like it

Discussion

34.	A regular hexagon has ______ center of rotation.
Answer» A regular hexagon has ______ center of rotation.

Discussion

35.	A path of uniform width 2 m runs around the inside of a square garden of side 11 m.The area of the path is_____ sq cm.
Answer» A path of uniform width 2 m runs around the inside of a square garden of side 11 m.The area of the path is_____ sq cm.

35.

A path of uniform width 2 m runs around the inside of a square garden of side 11 m.The area of the path is_____ sq cm.

Answer»

A path of uniform width 2 m runs around the inside of a square garden of side 11 m.The area of the path is_____ sq cm.

Discussion

36.	Ted was having dinner with his younger cousin. Ted’s cousin could have only one roti whereas Ted’s capacity was 4 rotis. Assume that the rotis are perfect circles with radius 4 cm. To what radius should the rotis be reduced so that Ted’s cousin eats as many rotis as Ted?
Answer» Ted was having dinner with his younger cousin. Ted’s cousin could have only one roti whereas Ted’s capacity was 4 rotis. Assume that the rotis are perfect circles with radius 4 cm. To what radius should the rotis be reduced so that Ted’s cousin eats as many rotis as Ted?

Discussion

37.	The value of (343)13×(64)13 is
Answer» The value of $(343)^{\frac{1}{3}} \times (64)^{\frac{1}{3}}$ is

Discussion

38.	What is the unchanging relation between the perimeter and sides of a rectangle where the rectangle having the length as l and breadth as b?
Answer» What is the unchanging relation between the perimeter and sides of a rectangle where the rectangle having the length as l and breadth as b?

Discussion

39.	The numbers which start from 0 are called _____.
Answer» The numbers which start from 0 are called _____.

Discussion

40.	Question 80 (c) Express each of following as a product of powers of their prime factors. 800
Answer» Question 80 (c) Express each of following as a product of powers of their prime factors. 800

40.

Question 80 (c) Express each of following as a product of powers of their prime factors. 800

Answer»

Question 80 (c)

Express each of following as a product of powers of their prime factors.
800

Discussion

41.	Question 76 (c) Express the following in exponential form. s×s×t×t×s×s×t
Answer» Question 76 (c) Express the following in exponential form. $s \times s \times t \times t \times s \times s \times t$

41.

Question 76 (c) Express the following in exponential form. s×s×t×t×s×s×t

Answer»

Question 76 (c)

Express the following in exponential form.
$s \times s \times t \times t \times s \times s \times t$

Discussion

42.	Question 119 (i) Write a positive integer and a negative integer whose sum is a negative integer.
Answer» Question 119 (i) Write a positive integer and a negative integer whose sum is a negative integer.

42.

Question 119 (i) Write a positive integer and a negative integer whose sum is a negative integer.

Answer»

Question 119 (i)

Write a positive integer and a negative integer whose sum is a negative integer.

Discussion

43.	Find the value of (15)2×(4)2
Answer» Find the value of $(15)^{2} \times (4)^{2}$

Discussion

44.	The inequality x≤y is same as ___ .(Consider x and y are positive integers.)
Answer» The inequality $x \leq y$ is same as ___ .(Consider x and y are positive integers.)

Discussion

45.	A ladder rests against a tree. If it reaches a height of 40 m from the ground, and if the distance between the foot of the ladder and the tree is 30 m, then the length of the ladder is ___ m.
Answer» A ladder rests against a tree. If it reaches a height of 40 m from the ground, and if the distance between the foot of the ladder and the tree is 30 m, then the length of the ladder is ___ m.

Discussion

46.	Question 61 876543=8×105+7×104+6×103+5×102+4×101+3×100
Answer» Question 61 $876543 = 8 \times 10^{5} + 7 \times 10^{4} + 6 \times 10^{3} + 5 \times 10^{2} + 4 \times 10^{1} + 3 \times 10^{0}$

46.

Question 61 876543=8×105+7×104+6×103+5×102+4×101+3×100

Answer»

Question 61

$876543 = 8 \times 10^{5} + 7 \times 10^{4} + 6 \times 10^{3} + 5 \times 10^{2} + 4 \times 10^{1} + 3 \times 10^{0}$

Discussion

47.	Solve the following 3√5-5
Answer» Solve the following 3√5-5

47.

Solve the following 3√5-5

Answer»

Solve the following

3√5-5

Discussion

48.	Question 5(g) : How quickly can you do this? Fill appropriate sign (<, =, >): 14□28
Answer» Question 5(g) : How quickly can you do this? Fill appropriate sign (<, =, >): $\frac{1}{4} □ \frac{2}{8}$

48.

Question 5(g) : How quickly can you do this? Fill appropriate sign (<, =, >): 14□28

Answer»

Question 5(g) :

How quickly can you do this? Fill appropriate sign (<, =, >):

$\frac{1}{4} □ \frac{2}{8}$

Discussion

49.	Question 5(a) : Complete the addition – subtraction box:
Answer» Question 5(a) : Complete the addition – subtraction box:

49.

Question 5(a) : Complete the addition – subtraction box:

Answer»

Question 5(a) :

Complete the addition – subtraction box:

Discussion

50.	What is the angle(in degrees) obtained when angle bisector construction is used to bisect an angle of 342∘ ? __
Answer» What is the angle(in degrees) obtained when angle bisector construction is used to bisect an angle of $342^{\circ}$ ? __

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

If Samsung has sold 21 million devices in 1st quarter and 23 million devices in the 2nd quarter, then what is the ratio of sales of Samsung devices in the 1st and 2nd quarter ?

Question 4 In the given figure, bisectors AP and BQ of the alternate interior angles are parallel, then show that l||m.

Question 5 In the given figure, POQ is a line. Ray OR is perpendicular to line PQ. OS is another ray lying between rays OP and OR. Prove that ∠ROS=12(∠QOS−∠POS).

In the given figure, POQ is a line, then the valie of 'x' is

Simplify: (i)(−2i)(16i) (ii) (−i)(3i)(−16i)3 (iii) 4√−4+5√−9−3√−16

Amrutha drove from bangalore to chennai at 80km/hr and returned at 100km/hr.Find the average speed.

Question 3 Sides of a triangular field are 15 m, 16 m and 17 m. With the three corners of the field a cow, a buffalo and a horse are tied separately with ropes of length 7m each to graze in the field. Find the area of the field which cannot be grazed by the three animals.

If ABCD is a parallelogram, then the angle bisectors of ∠A and ∠D meet at ‘O’. The measure of ∠AOD is 45∘​.

If x=1(2−√3), then find the value of (x3−2x2−7x+5).

Match the exterior angles of △ABC with their corresponding interior opposite angles.

If two angles of a triangle are complementary then the third angle would be?

Find the product of (7x−4y) and (3x−7y).

Find the value of 1022+10201020.

Question 4(iii) Find 37÷87

A baby dismantles a Rubik’s cube (fig.) of side 10 cm into its constituent cubes, of length 1 cm, and a core cube. How many cubes lie on the floor now? Fig. A sample Rubik’s Cube.

What should be added to 3xy−4a2+5b2+2 to get −5+4a2+2b2−7xy?

What should be added to −57 to get −23? (a) −2921 (b) 2921 (c) 121 (d) −121

If 'a' and 'b' are any two integers, then a × (b + c) = (a × b) + (a × c). The property used here is ___ property.

Can u say how to multiply whole number with a fraction

Question 8 (b) (i) Provide the number in the box □ such that 35×□=2475 (ii) The simplest form of the number obtained in □ is ––––––––––

What is the square root of 3, approximated to 2 decimal places? (Please provide with figures for better understanding)

If the diameter of cross section of wire is decreased by 5%. How much percent will the length be increased so that the volume remains the same

Question 78(iv) Study the double bar graph shown below and answer the questions that follow : Find the average sales of brand B for the six months.

Question 76 1 subtracted from one-third of a number gives 1. Find the number.

How many litres of water will have to be added to 600 litres of the 45% solution of acid so that the resulting mixture will contain more than 25%, but less than 30% acid content?

Please provide me the explanation of the chapter exponents with the help of pictures and videos

Two parallel lines l and m are by a transversal t. If the interior angles of the same side of the be (2x-8)° and (3x-7)°,find the measure of each of these angles.

Triangle ABC is isosceles with AB =BC . If angle B is twice the measure of angle A find the measure of all the angles of the triangle.

Complete the table of the product by multiplying the first monomial present along the row with the second monomial present along the column. Nos.First Monomial→second Monomial↓a2b2cd2−5p2(i)−ab−a3b3−abcd2(ii)−cd−a2b2cd−c2d3(iii)abcda3b3cdabc2d3

If 5 men can build a wall in 12 days how many can build it in 10 days ???

Question 7 (ii) To know the opinion of the students about the subject statistics, a survey of 200 students was conducted. The data is recorded in the following table. OpinionNumber of studentslike135dislike65 Find the probability that a student chosen at random (ii) does not like it

A regular hexagon has ______ center of rotation.

A path of uniform width 2 m runs around the inside of a square garden of side 11 m.The area of the path is_____ sq cm.

Ted was having dinner with his younger cousin. Ted’s cousin could have only one roti whereas Ted’s capacity was 4 rotis. Assume that the rotis are perfect circles with radius 4 cm. To what radius should the rotis be reduced so that Ted’s cousin eats as many rotis as Ted?

The value of (343)13×(64)13 is

What is the unchanging relation between the perimeter and sides of a rectangle where the rectangle having the length as l and breadth as b?

The numbers which start from 0 are called _____.

Question 80 (c) Express each of following as a product of powers of their prime factors. 800

Question 76 (c) Express the following in exponential form. s×s×t×t×s×s×t

Question 119 (i) Write a positive integer and a negative integer whose sum is a negative integer.

Find the value of (15)2×(4)2

The inequality x≤y is same as ___ .(Consider x and y are positive integers.)

A ladder rests against a tree. If it reaches a height of 40 m from the ground, and if the distance between the foot of the ladder and the tree is 30 m, then the length of the ladder is ___ m.

Question 61 876543=8×105+7×104+6×103+5×102+4×101+3×100

Solve the following 3√5-5

Question 5(g) : How quickly can you do this? Fill appropriate sign (&lt;, =, &gt;): 14□28

Question 5(a) : Complete the addition – subtraction box:

What is the angle(in degrees) obtained when angle bisector construction is used to bisect an angle of 342∘ ? __

If ABCD is a parallelogram, then the angle bisectors of ∠A and ∠D meet at ‘O’. The measure of ∠AOD is 45∘.

Question 5(g) : How quickly can you do this? Fill appropriate sign (<, =, >): 14□28