19743 + Interview Questions in Mathematics

1.	Question 6(iii) Set up an equation in the following case: The teacher tells the class that the highest marks obtained by a student in her class is twice the lowest marks plus 7. The highest score is 87. (Take the lowest score to be l. )
Answer» Question 6(iii) Set up an equation in the following case: The teacher tells the class that the highest marks obtained by a student in her class is twice the lowest marks plus 7. The highest score is 87. (Take the lowest score to be l. )

Discussion

2.	If a pizza has 8 slices and 3 of those were eaten. What is the ratio of uneaten pizza to the pizza eaten?
Answer» If a pizza has 8 slices and 3 of those were eaten. What is the ratio of uneaten pizza to the pizza eaten?

Discussion

3.	The Bacteria enlarge over a period of time. It enlarged 60000 times and attained a length of 3 cm. What would its length be if it had enlarged only 10000 times?
Answer» The Bacteria enlarge over a period of time. It enlarged 60000 times and attained a length of 3 cm. What would its length be if it had enlarged only 10000 times?

Discussion

4.	When 50% is converted into a fraction, the resultant fraction will be .
Answer» When $50$ % is converted into a fraction, the resultant fraction will be .

Discussion

5.	Find the value of 362−352= ___
Answer» Find the value of $36^{2} - 35^{2} =$ ___

Discussion

6.	For the set of numbers 2,2,4,5 and 12, which of the following statements is true?
Answer» For the set of numbers 2,2,4,5 and 12, which of the following statements is true?

Discussion

7.	((15)6)4
Answer» ((15)⁶)⁴

Discussion

8.	A frog jumps 3 steps forward and then 5 steps backward starting from the point zero on the number line. What is the present position of frog?
Answer» A frog jumps 3 steps forward and then 5 steps backward starting from the point zero on the number line. What is the present position of frog?

8.

A frog jumps 3 steps forward and then 5 steps backward starting from the point zero on the number line. What is the present position of frog?

Answer»

A frog jumps 3 steps forward and then 5 steps backward starting from the point zero on the number line. What is the present position of frog?

Discussion

9.	If sign of each term on both sides of an inequation is changed, then which of the following is true regarding the sign of inequality?
Answer» If sign of each term on both sides of an inequation is changed, then which of the following is true regarding the sign of inequality?

Discussion

10.	Suresh and Ramesh saw two perpendicular lines, and made the following statements: Suresh: If two lines are perpendicular then the maximum number of right angles formed between them is 2. Ramesh: If two lines are perpendicular then the maximum number of right angles formed between them is 4.
Answer» Suresh and Ramesh saw two perpendicular lines, and made the following statements: Suresh: If two lines are perpendicular then the maximum number of right angles formed between them is 2. Ramesh: If two lines are perpendicular then the maximum number of right angles formed between them is 4.

10.

Suresh and Ramesh saw two perpendicular lines, and made the following statements: Suresh: If two lines are perpendicular then the maximum number of right angles formed between them is 2. Ramesh: If two lines are perpendicular then the maximum number of right angles formed between them is 4.

Answer»

Suresh and Ramesh saw two perpendicular lines, and made the following statements:
Suresh: If two lines are perpendicular then the maximum number of right angles formed between them is 2.

Ramesh: If two lines are perpendicular then the maximum number of right angles formed between them is 4.

Discussion

11.	What is the units digit of the square of 56789?
Answer» What is the units digit of the square of 56789?

Discussion

12.	In a triangle, exterior angle measures 100°. If one interior opposite angle is 55°, then the other interior angle is
Answer» In a triangle, exterior angle measures 100°. If one interior opposite angle is 55°, then the other interior angle is

Discussion

13.	Express the given statement in exponential form. 3 is multiplied by itself 7 times.
Answer» Express the given statement in exponential form. 3 is multiplied by itself 7 times.

Discussion

14.	Question 3 Find area of a triangle formed by joining mid-points of sides of another triangle whose vertices are (0, -1), (2, 1) and (0, 3). Find ratio of this area to the area of the given triangle.
Answer» Question 3 Find area of a triangle formed by joining mid-points of sides of another triangle whose vertices are (0, -1), (2, 1) and (0, 3). Find ratio of this area to the area of the given triangle.

Discussion

15.	How many axioms did Euclid give?
Answer» How many axioms did Euclid give?

Discussion

16.	A block of ice at −10oC is slowly heated and converted to steam at 100oC. Which of the following curves represents the phenomenon qualitatively?
Answer» A block of ice at $- 10^{o} C$ is slowly heated and converted to steam at $100^{o} C .$ Which of the following curves represents the phenomenon qualitatively?

Discussion

17.	The following pie-diagram shows the expenditure incurred in the preparation of a book by a publisher, under various heads. What is the difference between the angles of the sectors showing the expenditure incurred on binding and printing?
Answer» The following pie-diagram shows the expenditure incurred in the preparation of a book by a publisher, under various heads. What is the difference between the angles of the sectors showing the expenditure incurred on binding and printing?

17.

The following pie-diagram shows the expenditure incurred in the preparation of a book by a publisher, under various heads. What is the difference between the angles of the sectors showing the expenditure incurred on binding and printing?

Answer»

The following pie-diagram shows the expenditure incurred in the preparation of a book by a publisher, under various heads.

What is the difference between the angles of the sectors showing the expenditure incurred on binding and printing?

Discussion

18.	A car travels at a speed of 50 km/h for 3 hours. For the next 2 hours, it travels at a speed of 100 km/h. Find its average speed.
Answer» A car travels at a speed of 50 km/h for 3 hours. For the next 2 hours, it travels at a speed of 100 km/h. Find its average speed.

Discussion

19.	Which of the following is a linear equation?
Answer» Which of the following is a linear equation?

Discussion

20.	The number of positions in which the object looks exactly the same is called the ___.
Answer» The number of positions in which the object looks exactly the same is called the ___.

Discussion

21.	What will be the algebraic expression formed when x is multiplied with y?
Answer» What will be the algebraic expression formed when x is multiplied with y?

Discussion

22.	Evaluate: (i)2×2713×216−23 (ii)64−13(6413−64−23) [4 MARKS]
Answer» Evaluate: $(i) 2 \times 27^{\frac{1}{3}} \times 216^{- \frac{2}{3}}$ $(i i) 64^{- \frac{1}{3}} (64^{\frac{1}{3}} - 64^{- \frac{2}{3}})$ [4 MARKS]

Discussion

23.	What is 40% of 30% of 1000?
Answer» What is 40% of 30% of 1000?

Discussion

24.	The following data relates to the expenses for a household in Bangalore. ItemsExpenditure(in Rs)Food4000Clothing2000Rent1500Education1500Miscellaneous1000 To draw a pie – chart, the central angle of Clothing will be
Answer» The following data relates to the expenses for a household in Bangalore. $\begin{matrix} I t e m s & E x p e n d i t u r e (i n R s) F o o d & 4000 C l o t h i n g & 2000 R e n t & 1500 E d u c a t i o n & 1500 M i s c e l l a n e o u s & 1000 \end{matrix}$ To draw a pie – chart, the central angle of Clothing will be

Discussion

25.	In a surprise test, Sharan scored 10.75 marks and Kamal scored 4.50 marks. What is the number obtained when we divide Sharan's marks by kamal's marks.
Answer» In a surprise test, Sharan scored 10.75 marks and Kamal scored 4.50 marks. What is the number obtained when we divide Sharan's marks by kamal's marks.

Discussion

26.	Question 4 The number of lines of symmetry in the figure given below is a) 1 b) 3 c) 6 d) Infinitely many
Answer» Question 4 The number of lines of symmetry in the figure given below is a) 1 b) 3 c) 6 d) Infinitely many

Discussion

27.	If volume of an utensil is 1000 cm3, then find its weight, given, density of the material it is made of is 17.92 g/cm3
Answer» If volume of an utensil is $1000 c m^{3}$ , then find its weight, given, density of the material it is made of is $17.92 g / c m^{3}$

Discussion

28.	At time t = 5 secs, Can you predict which floor the elevator will be on if nobody stops the elevator and there are enough floors in the building.
Answer» At time t = 5 secs, Can you predict which floor the elevator will be on if nobody stops the elevator and there are enough floors in the building.

Discussion

29.	Find the value of the polynomial a3+3a2b+2ab−b2 at a=−2 and b=3. [2 MARKS]
Answer» Find the value of the polynomial $a^{3} + 3 a^{2} b + 2 a b - b^{2}$ at $a = - 2$ and $b = 3$ . [2 MARKS]

Discussion

30.	The standard notation of 0.85 is .
Answer» The standard notation of 0.85 is .

Discussion

31.	Find the value of xo.
Answer» Find the value of $x^{o}$ .

Discussion

32.	The sides of a parallelogram are 4 and 5 units. Its perimeter is ___ units.
Answer» The sides of a parallelogram are 4 and 5 units. Its perimeter is ___ units.

Discussion

33.	Sort first 5 steps to construct a parallel line to a given line 'l'.
Answer» Sort first 5 steps to construct a parallel line to a given line 'l'.

Discussion

34.	In the figure if DE = BF = 7 cm and AC = 9 cm. Find the area of the parallelogram.
Answer» In the figure if DE = BF = 7 cm and AC = 9 cm. Find the area of the parallelogram.

Discussion

35.	Find the area of triangle formed by joining the mid points of the sides of the triangle whose Vertices are (0,-1), (2,1) and (0,3).
Answer» Find the area of triangle formed by joining the mid points of the sides of the triangle whose Vertices are (0,-1), (2,1) and (0,3).

35.

Find the area of triangle formed by joining the mid points of the sides of the triangle whose Vertices are (0,-1), (2,1) and (0,3).

Answer»

Find the area of triangle formed by joining the mid points of the sides of the triangle whose

Vertices are (0,-1), (2,1) and (0,3).

Discussion

36.	324 in simplest form is ___ ___
Answer» $\frac{32}{4}$ in simplest form is ___ ___

Discussion

37.	A car covers 20 km in the first hour and 30 km in the last 4 hours. Find: i) Speed of car in the first hour ii) Speed of the car in the last four hours iii) Average speed of the car [3 MARKS]
Answer» A car covers 20 km in the first hour and 30 km in the last 4 hours. Find: i) Speed of car in the first hour ii) Speed of the car in the last four hours iii) Average speed of the car [3 MARKS]

Discussion

38.	Question 93 State whether the statement is True or False. If the areas of two squares is same, they are congruent.
Answer» Question 93 State whether the statement is True or False. If the areas of two squares is same, they are congruent.

38.

Question 93 State whether the statement is True or False. If the areas of two squares is same, they are congruent.

Answer»

Question 93

State whether the statement is True or False.

If the areas of two squares is same, they are congruent.

Discussion

39.	Find the area of the square, if its side measures 3x2 metre.
Answer» Find the area of the square, if its side measures $3 x^{2}$ metre.

Discussion

40.	Factorise: 2ax+2bx−ay−by
Answer» Factorise: $2 a x + 2 b x - a y - b y$

Discussion

41.	Question 110 What's the Error? Chhaya simplified a rational number is this manner −25−30=−56. What error did the student make?
Answer» Question 110 What's the Error? Chhaya simplified a rational number is this manner $\frac{- 25}{- 30} = \frac{- 5}{6}$ . What error did the student make?

41.

Question 110 What's the Error? Chhaya simplified a rational number is this manner −25−30=−56. What error did the student make?

Answer»

Question 110

What's the Error?

Chhaya simplified a rational number is this manner $\frac{- 25}{- 30} = \frac{- 5}{6}$ . What error did the student make?

Discussion

42.	P, Q and R are the mid-point of AO, BO and CO respectively as shown in figure. Prove that ΔABC and ΔPQR are equiangular.
Answer» P, Q and R are the mid-point of AO, BO and CO respectively as shown in figure. Prove that $Δ A B C$ and $Δ P Q R$ are equiangular.

Discussion

43.	Marks obtained by 5 students in a class test out of 25 are 12, 15, 12, 20, 17 respectively. Find the mode of the given set of observations.
Answer» Marks obtained by 5 students in a class test out of 25 are 12, 15, 12, 20, 17 respectively. Find the mode of the given set of observations.

Discussion

44.	Prove (a+b)2=a2+b2+2ab
Answer» Prove $(a + b)^{2} = a^{2} + b^{2} + 2 a b$

Discussion

45.	Write (8)×(8)×(8)×(8)×(8) in the exponential form, taking 2 as base. [2 MARKS]
Answer» Write $(8) \times (8) \times (8) \times (8) \times (8)$ in the exponential form, taking 2 as base. [2 MARKS]

Discussion

46.	Two triangles are congruent if they have ___.
Answer» Two triangles are congruent if they have ___.

Discussion

47.	Question 73(i) The bar graph given below shows the marks of students of a class in a particular subject: Study the bar graph and answer the following question : If 40 is the pass marks, then how many students have failed?
Answer» Question 73(i) The bar graph given below shows the marks of students of a class in a particular subject: Study the bar graph and answer the following question : If 40 is the pass marks, then how many students have failed?

Discussion

48.	Garima celebrated her birthday on 1st Jan, 2016. Her friend Sushweta gave her a countdown timer which shows number of hours remaining for her next birthday. The initial number of hours shown in the timer is:
Answer» Garima celebrated her birthday on $1^{s t}$ Jan, 2016. Her friend Sushweta gave her a countdown timer which shows number of hours remaining for her next birthday. The initial number of hours shown in the timer is:

Discussion

49.	Question 61 How much is 21a3−17a2 less than 89a3−64a2+6a+16?
Answer» Question 61 How much is $21 a^{3} - 17 a^{2}$ less than $89 a^{3} - 64 a^{2} + 6 a + 16 ?$

49.

Question 61 How much is 21a3−17a2 less than 89a3−64a2+6a+16?

Answer»

Question 61

How much is $21 a^{3} - 17 a^{2}$ less than $89 a^{3} - 64 a^{2} + 6 a + 16 ?$

Discussion

50.	Question 68 The age of Sohan Lal is four times that of his son Amit. If the difference of their ages is 27 years, find the age of Amit.
Answer» Question 68 The age of Sohan Lal is four times that of his son Amit. If the difference of their ages is 27 years, find the age of Amit.

50.

Question 68 The age of Sohan Lal is four times that of his son Amit. If the difference of their ages is 27 years, find the age of Amit.

Answer»

Question 68

The age of Sohan Lal is four times that of his son Amit. If the difference of their ages is 27 years, find the age of Amit.

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

Question 6(iii) Set up an equation in the following case: The teacher tells the class that the highest marks obtained by a student in her class is twice the lowest marks plus 7. The highest score is 87. (Take the lowest score to be l. )

If a pizza has 8 slices and 3 of those were eaten. What is the ratio of uneaten pizza to the pizza eaten?

The Bacteria enlarge over a period of time. It enlarged 60000 times and attained a length of 3 cm. What would its length be if it had enlarged only 10000 times?

When 50% is converted into a fraction, the resultant fraction will be .

Find the value of 362−352= ___

For the set of numbers 2,2,4,5 and 12, which of the following statements is true?

((15)6)4

A frog jumps 3 steps forward and then 5 steps backward starting from the point zero on the number line. What is the present position of frog?

If sign of each term on both sides of an inequation is changed, then which of the following is true regarding the sign of inequality?

Suresh and Ramesh saw two perpendicular lines, and made the following statements: Suresh: If two lines are perpendicular then the maximum number of right angles formed between them is 2. Ramesh: If two lines are perpendicular then the maximum number of right angles formed between them is 4.

What is the units digit of the square of 56789?

In a triangle, exterior angle measures 100°. If one interior opposite angle is 55°, then the other interior angle is

Express the given statement in exponential form. 3 is multiplied by itself 7 times.

Question 3 Find area of a triangle formed by joining mid-points of sides of another triangle whose vertices are (0, -1), (2, 1) and (0, 3). Find ratio of this area to the area of the given triangle.

How many axioms did Euclid give?

A block of ice at −10oC is slowly heated and converted to steam at 100oC. Which of the following curves represents the phenomenon qualitatively?

The following pie-diagram shows the expenditure incurred in the preparation of a book by a publisher, under various heads. What is the difference between the angles of the sectors showing the expenditure incurred on binding and printing?

A car travels at a speed of 50 km/h for 3 hours. For the next 2 hours, it travels at a speed of 100 km/h. Find its average speed.

Which of the following is a linear equation?

The number of positions in which the object looks exactly the same is called the ___.

What will be the algebraic expression formed when x is multiplied with y?

Evaluate: (i)2×2713×216−23 (ii)64−13(6413−64−23) [4 MARKS]

What is 40% of 30% of 1000?

The following data relates to the expenses for a household in Bangalore. ItemsExpenditure(in Rs)Food4000Clothing2000Rent1500Education1500Miscellaneous1000 To draw a pie – chart, the central angle of Clothing will be

In a surprise test, Sharan scored 10.75 marks and Kamal scored 4.50 marks. What is the number obtained when we divide Sharan's marks by kamal's marks.

Question 4 The number of lines of symmetry in the figure given below is a) 1 b) 3 c) 6 d) Infinitely many

If volume of an utensil is 1000 cm3, then find its weight, given, density of the material it is made of is 17.92 g/cm3

At time t = 5 secs, Can you predict which floor the elevator will be on if nobody stops the elevator and there are enough floors in the building.

Find the value of the polynomial a3+3a2b+2ab−b2 at a=−2 and b=3. [2 MARKS]

The standard notation of 0.85 is .

Find the value of xo.

The sides of a parallelogram are 4 and 5 units. Its perimeter is ___ units.

Sort first 5 steps to construct a parallel line to a given line 'l'.

In the figure if DE = BF = 7 cm and AC = 9 cm. Find the area of the parallelogram.

Find the area of triangle formed by joining the mid points of the sides of the triangle whose Vertices are (0,-1), (2,1) and (0,3).

324 in simplest form is ___ ___

A car covers 20 km in the first hour and 30 km in the last 4 hours. Find: i) Speed of car in the first hour ii) Speed of the car in the last four hours iii) Average speed of the car [3 MARKS]

Question 93 State whether the statement is True or False. If the areas of two squares is same, they are congruent.

Find the area of the square, if its side measures 3x2 metre.

Factorise: 2ax+2bx−ay−by

Question 110 What's the Error? Chhaya simplified a rational number is this manner −25−30=−56. What error did the student make?

P, Q and R are the mid-point of AO, BO and CO respectively as shown in figure. Prove that ΔABC and ΔPQR are equiangular.

Marks obtained by 5 students in a class test out of 25 are 12, 15, 12, 20, 17 respectively. Find the mode of the given set of observations.

Prove (a+b)2=a2+b2+2ab

Write (8)×(8)×(8)×(8)×(8) in the exponential form, taking 2 as base. [2 MARKS]

Two triangles are congruent if they have ___.

Question 73(i) The bar graph given below shows the marks of students of a class in a particular subject: Study the bar graph and answer the following question : If 40 is the pass marks, then how many students have failed?

Garima celebrated her birthday on 1st Jan, 2016. Her friend Sushweta gave her a countdown timer which shows number of hours remaining for her next birthday. The initial number of hours shown in the timer is:

Question 61 How much is 21a3−17a2 less than 89a3−64a2+6a+16?

Question 68 The age of Sohan Lal is four times that of his son Amit. If the difference of their ages is 27 years, find the age of Amit.

324 in simplest form is _ _