25365 + Interview Questions in Mathematics

1.	The value of (4pq+3q)2 − (4pq−3q)2=.
Answer» The value of ${(4 p q + 3 q)}^{2} - {(4 p q - 3 q)}^{2} =$ .

Discussion

2.	Find the value of x in each figure.
Answer» Find the value of $x$ in each figure.

Discussion

3.	(1) 1.0001 × 109 (2) 5.8 × 1012
Answer» (1) 1.0001 × 10⁹ (2) 5.8 × 10¹²

3.

(1) 1.0001 × 109 (2) 5.8 × 1012

Answer»

(1) 1.0001 × 10⁹

(2) 5.8 × 10¹²

Discussion

4.	The cost of one dozen eggs is ₹ 48. A man bought eggs worth ₹ 36. What percentage of a dozen did he buy?
Answer» The cost of one dozen eggs is ₹ 48. A man bought eggs worth ₹ 36. What percentage of a dozen did he buy?

Discussion

5.	When we factorise y2+xy+yz+xz, one of the factor is _____________
Answer» When we factorise $y^{2} + x y + y z + x z$ , one of the factor is _____________

Discussion

6.	Which of the following is a binomial?
Answer» Which of the following is a binomial?

Discussion

7.	The reflection of point (-7, -9) through Y axis would be___
Answer» The reflection of point (-7, -9) through Y axis would be___

Discussion

8.	To construct a rhombus ABCD given AB=4 cm and ∠ABC=120∘, which of the following properties of rhombus do we use?
Answer» To construct a rhombus ABCD given AB=4 cm and $∠ A B C = 120^{\circ}$ , which of the following properties of rhombus do we use?

Discussion

9.	In a similar triangle, I. The corresponding angles are equal. II. The corresponding sides are always equal. III. The corresponding sides are always proportional.
Answer» In a similar triangle, I. The corresponding angles are equal. II. The corresponding sides are always equal. III. The corresponding sides are always proportional.

9.

In a similar triangle, I. The corresponding angles are equal. II. The corresponding sides are always equal. III. The corresponding sides are always proportional.

Answer»

In a similar triangle,

I. The corresponding angles are equal.

II. The corresponding sides are always equal.

III. The corresponding sides are always proportional.

Discussion

10.	For the above figure, F + V - E = ___ where, F is the number of faces, V is the number of vertices and E is the number of edges.
Answer» For the above figure, F + V - E = ___ where, F is the number of faces, V is the number of vertices and E is the number of edges.

10.

For the above figure, F + V - E = ___ where, F is the number of faces, V is the number of vertices and E is the number of edges.

Answer»

For the above figure,
F + V - E = ___
where,
F is the number of faces,
V is the number of vertices and
E is the number of edges.

Discussion

11.	A shop selling sewing machines offers 3% discount on all cash purchases. What cash amount does a customer pay for a sewing machine, the price of which is marked as Rs. 650.
Answer» A shop selling sewing machines offers $3 %$ discount on all cash purchases. What cash amount does a customer pay for a sewing machine, the price of which is marked as Rs. 650.

Discussion

12.	The cost price of 10 articles is equal to the selling price of 9 articles. Find the profit percent.
Answer» The cost price of 10 articles is equal to the selling price of 9 articles. Find the profit percent.

Discussion

13.	Question 51(v) The graph shows the maximum temperatures recorded for two consecutive weeks of a town. Study the graph and answer the questions that follow. What were the temperatures for both the weeks on Thursday?
Answer» Question 51(v) The graph shows the maximum temperatures recorded for two consecutive weeks of a town. Study the graph and answer the questions that follow. What were the temperatures for both the weeks on Thursday?

Discussion

14.	The dimensions of a reactangular box are in the ratio 2:3:4 and the difference between the cost of covering it with sheet of paper at the rates of Rs. 8 and Rs. 9.50 per m2 is Rs. 1,248. Find the dimensions of the box.
Answer» The dimensions of a reactangular box are in the ratio 2:3:4 and the difference between the cost of covering it with sheet of paper at the rates of Rs. 8 and Rs. 9.50 per $m^{2}$ is Rs. 1,248. Find the dimensions of the box.

Discussion

15.	By using the formula, find the amount and compound interest on: Rs. 9000 for 2 years 4 months at 10% per annum compounded annually.
Answer» By using the formula, find the amount and compound interest on: $R s . 9000$ for $2$ years $4$ months at $10 %$ per annum compounded annually.

15.

By using the formula, find the amount and compound interest on: Rs. 9000 for 2 years 4 months at 10% per annum compounded annually.

Answer»

By using the formula, find the amount and compound interest on:

$R s . 9000$ for $2$ years $4$ months at $10 %$ per annum compounded annually.

Discussion

16.	The ages of ten students of a group are given below. The ages have been recorded in years and months. 8 - 6, 9 - 0, 8 - 4, 9 - 3, 7 - 8, 8 - 11, 8 - 7, 9 - 2, 7 - 10, 8 - 8 Determine the range?
Answer» The ages of ten students of a group are given below. The ages have been recorded in years and months. 8 - 6, 9 - 0, 8 - 4, 9 - 3, 7 - 8, 8 - 11, 8 - 7, 9 - 2, 7 - 10, 8 - 8 Determine the range?

Discussion

17.	The point of intersection of X and Y axes is called
Answer» The point of intersection of X and Y axes is called

Discussion

18.	Factorise the expression: p2q2−6pqr+9r2
Answer» Factorise the expression: $p^{2} q^{2} - 6 p q r + 9 r^{2}$

Discussion

19.	The ratio in which the Centroid of the triangle divides the median is _____.
Answer» The ratio in which the Centroid of the triangle divides the median is _____.

Discussion

20.	Find the smallest number by which 1323 must be multiplied so that the product is a perfect cube.
Answer» Find the smallest number by which $1323$ must be multiplied so that the product is a perfect cube.

Discussion

21.	Which of the following lengths make a right triangle?
Answer» Which of the following lengths make a right triangle?

Discussion

22.	Expand: (2a-7)(2a-7)
Answer» Expand: (2a-7)(2a-7)

Discussion

23.	A survey was made to find the type of music that a certain group of young people liked in a city. The above pie chart shows the findings of this survey. (i) If 20 people liked classical music, how many young people were surveyed? (ii) Which type of music is liked by the maximum number of people?
Answer» A survey was made to find the type of music that a certain group of young people liked in a city. The above pie chart shows the findings of this survey. (i) If 20 people liked classical music, how many young people were surveyed? (ii) Which type of music is liked by the maximum number of people?

23.

A survey was made to find the type of music that a certain group of young people liked in a city. The above pie chart shows the findings of this survey. (i) If 20 people liked classical music, how many young people were surveyed? (ii) Which type of music is liked by the maximum number of people?

Answer»

A survey was made to find the type of music that a certain group of young people liked in a city. The above pie chart shows the findings of this survey.

(i) If 20 people liked classical music, how many young people were surveyed?

(ii) Which type of music is liked by the maximum number of people?

Discussion

24.	If the measurement of sides of a quadrilateral are given as AB = 4cm, CD = 5 cm, and angles are given as ∠ABC= 75∘, ∠BCD= 45∘ and ∠CDA= 135∘, can you construct a unique quadrilateral ABCD?
Answer» If the measurement of sides of a quadrilateral are given as AB = 4cm, CD = 5 cm, and angles are given as $∠ A B C =$ $75^{\circ}$ , $∠ B C D =$ $45^{\circ}$ and $∠ C D A =$ $135^{\circ}$ , can you construct a unique quadrilateral ABCD?

Discussion

25.	Question 57 In a histogram, class intervals and frequencies are taken along ___ axis and ___ axis.
Answer» Question 57 In a histogram, class intervals and frequencies are taken along ___ axis and ___ axis.

25.

Question 57 In a histogram, class intervals and frequencies are taken along _ axis and _ axis.

Answer»

Question 57

In a histogram, class intervals and frequencies are taken along ___ axis and ___ axis.

Discussion

26.	The mean of the following distribution is: xi10131619fi2576
Answer» The mean of the following distribution is: $\begin{matrix} x_{i} & 10 & 13 & 16 & 19 f_{i} & 2 & 5 & 7 & 6 \end{matrix}$

Discussion

27.	The population of a town increases at the rate of 40 per thousand annually. If the present population be 175760, what was the population three years ago?
Answer» The population of a town increases at the rate of 40 per thousand annually. If the present population be 175760, what was the population three years ago?

Discussion

28.	The approximate speed of some vehicles are given below. Draw a bar graph to represent them. Name of objectsBicycleScooterCarBusTrainSpeed [in km/hr]1040605080
Answer» The approximate speed of some vehicles are given below. Draw a bar graph to represent them. $\begin{matrix} N a m e o f o b j e c t s & B i c y c l e & S c o o t e r & C a r & B u s & T r a i n S p e e d [i n k m / h r] & 10 & 40 & 60 & 50 & 80 \end{matrix}$

Discussion

29.	The value x in the equation 2x + 3 = 3x + 2 is ___.
Answer» The value x in the equation 2x + 3 = 3x + 2 is ___.

Discussion

30.	Successive subtraction of 125
Answer» Successive subtraction of 125

Discussion

31.	9½+ 8⅓-16¼-2431/5. Solve
Answer» 9^½+ 8^⅓-16^¼-243^1/5. Solve

Discussion

32.	Which is the smallest number that must be multiplied to 77175 to make it a perfect cube?
Answer» Which is the smallest number that must be multiplied to 77175 to make it a perfect cube?

Discussion

33.	Factorise a2−(2a+3b)2 is _____.
Answer» Factorise $a^{2} - (2 a + 3 b)^{2}$ is _____.

Discussion

34.	In figure, if DEIIBC, find the ratio of ar (ΔADE) and are (ΔDECB).
Answer» In figure, if DEIIBC, find the ratio of ar $(Δ A D E)$ and are $(Δ D E C B)$ .

Discussion

35.	How to find square root of any number e.g. 645.
Answer» How to find square root of any number e.g. 645.

Discussion

36.	Factorise : 2b(2a+b)−3c(2a+b)
Answer» Factorise : $2 b (2 a + b) - 3 c (2 a + b)$

36.

Factorise : 2b(2a+b)−3c(2a+b)

Answer»

Factorise :

$2 b (2 a + b) - 3 c (2 a + b)$

Discussion

37.	The sum of digits of a two digit number is 10. The sum of number and its reverse equals 110. Represent this graphically.
Answer» The sum of digits of a two digit number is 10. The sum of number and its reverse equals 110. Represent this graphically.

Discussion

38.	The distance between Kanpur and Lucknow is 80 kms. A person travels 36 kms. How much percentage of the entire journey he has to cover more ?
Answer» The distance between Kanpur and Lucknow is 80 kms. A person travels 36 kms. How much percentage of the entire journey he has to cover more ?

Discussion

39.	Akanksha was asked to multiply a number by its successor. But she made a careless mistake and multiplied the number by itself. When she found the error, she added the original number to the final result. The result now obtained is ___ (less than/ equal to/ more than) the original correct answer.
Answer» Akanksha was asked to multiply a number by its successor. But she made a careless mistake and multiplied the number by itself. When she found the error, she added the original number to the final result. The result now obtained is ___ (less than/ equal to/ more than) the original correct answer.

39.

Akanksha was asked to multiply a number by its successor. But she made a careless mistake and multiplied the number by itself. When she found the error, she added the original number to the final result. The result now obtained is ___ (less than/ equal to/ more than) the original correct answer.

Answer»

Akanksha was asked to multiply a number by its successor. But she made a careless mistake and multiplied the number by itself.

When she found the error, she added the original number to the final result. The result now obtained is

___ (less than/ equal to/ more than) the original correct answer.

Discussion

40.	What square number will we get if we add 13 and 14 triangular numbers
Answer» What square number will we get if we add 13 and 14 triangular numbers

40.

What square number will we get if we add 13 and 14 triangular numbers

Answer»

What square number will we get if we add

13 and 14 triangular numbers

Discussion

41.	If a3+b3=27 and a2+b2−ab=9, then a+b=___
Answer» If $a^{3} + b^{3} = 27$ and $a^{2} + b^{2} - a b = 9$ , then $a + b =$ ___

Discussion

42.	Find the point which lies on y-axis at a distance of 5 units in the negative direction of y-axis.
Answer» Find the point which lies on y-axis at a distance of 5 units in the negative direction of y-axis.

Discussion

43.	A polygon whose all the sides and all the angles are equal is known as:
Answer» A polygon whose all the sides and all the angles are equal is known as:

Discussion

44.	In a conversation between Mukesh and Latha. Mukesh asked Latha to think of any number and then double the number and add 9 to the result. Then Latha subtracted 3 from the result which she got earlier. After this she divided the number obtained by 2 and subtracted original number with the result. What is the number Latha is left with?
Answer» In a conversation between Mukesh and Latha. Mukesh asked Latha to think of any number and then double the number and add 9 to the result. Then Latha subtracted 3 from the result which she got earlier. After this she divided the number obtained by 2 and subtracted original number with the result. What is the number Latha is left with?

Discussion

45.	How to calculate the value of π ?
Answer» How to calculate the value of π ?

Discussion

46.	Square of 534 is equal to
Answer» Square of $5 \frac{3}{4}$ is equal to

Discussion

47.	Question 1(i) Multiply the binomials: (2x+5) and ( 4x-3)
Answer» Question 1(i) Multiply the binomials: (2x+5) and ( 4x-3)

Discussion

48.	The area of a square field is 60025 meter square. A boy is cycling along its boundary at 18 km/hr. In how much time will he return to the starting point?
Answer» The area of a square field is 60025 meter square. A boy is cycling along its boundary at 18 km/hr. In how much time will he return to the starting point?

Discussion

49.	( a + b ) 2 - ( a - b ) 2
Answer» ( a + b ) ² - ( a - b ) ²

Discussion

50.	The perimeter of a rectangular swimming pool is 154m. It's length is 2m more than twice it's breadth. What are the length and breadth of the pool
Answer» The perimeter of a rectangular swimming pool is 154m. It's length is 2m more than twice it's breadth. What are the length and breadth of the pool

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

The value of (4pq+3q)2 − (4pq−3q)2=.

Find the value of x in each figure.

(1) 1.0001 × 109 (2) 5.8 × 1012

The cost of one dozen eggs is ₹ 48. A man bought eggs worth ₹ 36. What percentage of a dozen did he buy?

When we factorise y2+xy+yz+xz, one of the factor is _____________

Which of the following is a binomial?

The reflection of point (-7, -9) through Y axis would be___

To construct a rhombus ABCD given AB=4 cm and ∠ABC=120∘, which of the following properties of rhombus do we use?

In a similar triangle, I. The corresponding angles are equal. II. The corresponding sides are always equal. III. The corresponding sides are always proportional.

For the above figure, F + V - E = ___ where, F is the number of faces, V is the number of vertices and E is the number of edges.

A shop selling sewing machines offers 3% discount on all cash purchases. What cash amount does a customer pay for a sewing machine, the price of which is marked as Rs. 650.

The cost price of 10 articles is equal to the selling price of 9 articles. Find the profit percent.

Question 51(v) The graph shows the maximum temperatures recorded for two consecutive weeks of a town. Study the graph and answer the questions that follow. What were the temperatures for both the weeks on Thursday?

The dimensions of a reactangular box are in the ratio 2:3:4 and the difference between the cost of covering it with sheet of paper at the rates of Rs. 8 and Rs. 9.50 per m2 is Rs. 1,248. Find the dimensions of the box.

By using the formula, find the amount and compound interest on: Rs. 9000 for 2 years 4 months at 10% per annum compounded annually.

The ages of ten students of a group are given below. The ages have been recorded in years and months. 8 - 6, 9 - 0, 8 - 4, 9 - 3, 7 - 8, 8 - 11, 8 - 7, 9 - 2, 7 - 10, 8 - 8 Determine the range?

The point of intersection of X and Y axes is called

Factorise the expression: p2q2−6pqr+9r2

The ratio in which the Centroid of the triangle divides the median is _____.

Find the smallest number by which 1323 must be multiplied so that the product is a perfect cube.

Which of the following lengths make a right triangle?

Expand: (2a-7)(2a-7)

A survey was made to find the type of music that a certain group of young people liked in a city. The above pie chart shows the findings of this survey. (i) If 20 people liked classical music, how many young people were surveyed? (ii) Which type of music is liked by the maximum number of people?

If the measurement of sides of a quadrilateral are given as AB = 4cm, CD = 5 cm, and angles are given as ∠ABC= 75∘, ∠BCD= 45∘ and ∠CDA= 135∘, can you construct a unique quadrilateral ABCD?

Question 57 In a histogram, class intervals and frequencies are taken along ___ axis and ___ axis.

The mean of the following distribution is: xi10131619fi2576

The population of a town increases at the rate of 40 per thousand annually. If the present population be 175760, what was the population three years ago?

The approximate speed of some vehicles are given below. Draw a bar graph to represent them. Name of objectsBicycleScooterCarBusTrainSpeed [in km/hr]1040605080

The value x in the equation 2x + 3 = 3x + 2 is ___.

Successive subtraction of 125

9½+ 8⅓-16¼-2431/5. Solve

Which is the smallest number that must be multiplied to 77175 to make it a perfect cube?

Factorise a2−(2a+3b)2 is _____.

In figure, if DEIIBC, find the ratio of ar (ΔADE) and are (ΔDECB).

How to find square root of any number e.g. 645.

Factorise : 2b(2a+b)−3c(2a+b)

The sum of digits of a two digit number is 10. The sum of number and its reverse equals 110. Represent this graphically.

The distance between Kanpur and Lucknow is 80 kms. A person travels 36 kms. How much percentage of the entire journey he has to cover more ?

Akanksha was asked to multiply a number by its successor. But she made a careless mistake and multiplied the number by itself. When she found the error, she added the original number to the final result. The result now obtained is ___ (less than/ equal to/ more than) the original correct answer.

What square number will we get if we add 13 and 14 triangular numbers

If a3+b3=27 and a2+b2−ab=9, then a+b=___

Find the point which lies on y-axis at a distance of 5 units in the negative direction of y-axis.

A polygon whose all the sides and all the angles are equal is known as:

How to calculate the value of π ?

Square of 534 is equal to

Question 1(i) Multiply the binomials: (2x+5) and ( 4x-3)

The area of a square field is 60025 meter square. A boy is cycling along its boundary at 18 km/hr. In how much time will he return to the starting point?

( a + b ) 2 - ( a - b ) 2

The perimeter of a rectangular swimming pool is 154m. It's length is 2m more than twice it's breadth. What are the length and breadth of the pool

Question 57 In a histogram, class intervals and frequencies are taken along _ axis and _ axis.