25365 + Interview Questions in Mathematics

1.	12.Five years ago a mother was seven times as old as her daughter Five years hence,she will be three times as old as her daughter. Find their present ages
Answer» 12.Five years ago a mother was seven times as old as her daughter Five years hence,she will be three times as old as her daughter. Find their present ages

Discussion

2.	Suppose a medium pizza was eaten by you and your 7 friends. As you were still hungry, you ordered a large pizza this time. The large pizza is again cut into 8 equal parts. The percentage of full large pizza eaten by you is:
Answer» Suppose a medium pizza was eaten by you and your 7 friends. As you were still hungry, you ordered a large pizza this time. The large pizza is again cut into 8 equal parts. The percentage of full large pizza eaten by you is:

2.

Suppose a medium pizza was eaten by you and your 7 friends. As you were still hungry, you ordered a large pizza this time. The large pizza is again cut into 8 equal parts. The percentage of full large pizza eaten by you is:

Answer»

Suppose a medium pizza was eaten by you and your 7 friends. As you were still hungry, you ordered a large pizza this time. The large pizza is again cut into 8 equal parts. The percentage of full large pizza eaten by you is:

Discussion

3.	Find and correct the errors (if any) in the following expressions:i.)(5x−2)2=25x2+4−20xii.)(3x+2)2=3x2+6x+4
Answer» Find and correct the errors (if any) in the following expressions: $i .) (5 x - 2)^{2} = 25 x^{2} + 4 - 20 x$ $i i .) (3 x + 2)^{2} = 3 x^{2} + 6 x + 4$

3.

Find and correct the errors (if any) in the following expressions:i.)(5x−2)2=25x2+4−20xii.)(3x+2)2=3x2+6x+4

Answer»

Find and correct the errors (if any) in the following expressions:

$i .) (5 x - 2)^{2} = 25 x^{2} + 4 - 20 x$

$i i .) (3 x + 2)^{2} = 3 x^{2} + 6 x + 4$

Discussion

4.	Which of the following equations of line have undefined slope?
Answer» Which of the following equations of line have undefined slope?

Discussion

5.	If a trapezium ABCD has parallel side AB and CD measured 13 and 17 cm what should be the area of trapezium if the area of triangle ABC = 71cm2.
Answer» If a trapezium ABCD has parallel side AB and CD measured 13 and 17 cm what should be the area of trapezium if the area of triangle ABC = 71 $c m^{2}$ .

Discussion

6.	Which of these shapes has 6 faces, 8 vertices, and 12 edges?
Answer» Which of these shapes has 6 faces, 8 vertices, and 12 edges?

Discussion

7.	Write the quotient and remainder when we divide: (x2−4x+4) by (x−2)
Answer» Write the quotient and remainder when we divide: $(x^{2} - 4 x + 4)$ by $(x - 2)$

Discussion

8.	Hello Sir/Maam I still have a doubt with the following question: Is it possible to construct a unique quadrilateral ABCD with AB = 4cm,AD = 6cm, angle abc = 60 °,dab = 75° ,ADC = 85°. If yes , find the value of angle bcd. Actually I have the steps properly but i am still not getting angle bcd as 140 ° So please can you help me with above mentioned question. Thanking you
Answer» Hello Sir/Maam I still have a doubt with the following question: Is it possible to construct a unique quadrilateral ABCD with AB = 4cm,AD = 6cm, angle abc = 60 °,dab = 75° ,ADC = 85°. If yes , find the value of angle bcd. Actually I have the steps properly but i am still not getting angle bcd as 140 ° So please can you help me with above mentioned question. Thanking you

8.

Hello Sir/Maam I still have a doubt with the following question: Is it possible to construct a unique quadrilateral ABCD with AB = 4cm,AD = 6cm, angle abc = 60 °,dab = 75° ,ADC = 85°. If yes , find the value of angle bcd. Actually I have the steps properly but i am still not getting angle bcd as 140 ° So please can you help me with above mentioned question. Thanking you

Answer»

Hello Sir/Maam

I still have a doubt with the following question:

Is it possible to construct a unique quadrilateral ABCD with AB = 4cm,AD = 6cm, angle abc = 60 °,dab = 75° ,ADC = 85°. If yes , find the value of angle bcd.

Actually I have the steps properly but i am still not getting angle bcd as 140 °

So please can you help me with above mentioned question.

Thanking you

Discussion

9.	For what value of a, the lines 2x+3y=3 and ax+12y=12 will have an infinite number of solutions?
Answer» For what value of $a$ , the lines $2 x + 3 y = 3$ and $a x + 12 y = 12$ will have an infinite number of solutions?

Discussion

10.	The following bar graph shows the types of movies liked by a group of people.The least popular type of movie among the group is ____.
Answer» The following bar graph shows the types of movies liked by a group of people. The least popular type of movie among the group is ____.

10.

The following bar graph shows the types of movies liked by a group of people.The least popular type of movie among the group is ____.

Answer»

The following bar graph shows the types of movies liked by a group of people.

The least popular type of movie among the group is ____.

Discussion

11.	If A=[4−1x−3] is an idempotent matrix, then the value of x is
Answer» If $A = [\begin{matrix} 4 & - 1 x & - 3 \end{matrix}]$ is an idempotent matrix, then the value of $x$ is

Discussion

12.	Question 85 (viii)Expand the following, using suitable identities.(4x5+y4)(4x5+3y4)
Answer» Question 85 (viii) Expand the following, using suitable identities. $(\frac{4 x}{5} + \frac{y}{4}) (\frac{4 x}{5} + \frac{3 y}{4})$

12.

Question 85 (viii)Expand the following, using suitable identities.(4x5+y4)(4x5+3y4)

Answer»

Question 85 (viii)

Expand the following, using suitable identities.

$(\frac{4 x}{5} + \frac{y}{4}) (\frac{4 x}{5} + \frac{3 y}{4})$

Discussion

13.	Diameter of a bike wheel is 80 cm. Number of complete rotations the wheel makes to cover a distance of 176 m is
Answer» Diameter of a bike wheel is 80 cm. Number of complete rotations the wheel makes to cover a distance of 176 m is

Discussion

14.	If 2x−3y = 10 and xy=16; find the value of 8x3−27y3
Answer» If $2 x - 3 y$ = 10 and $x y = 16$ ; find the value of $8 x^{3} - 27 y^{3}$

Discussion

15.	Question 2Mrs Kaushik has a square plot with the measurement as shown in the figure. She wants to construct a house in the middle of the plot with the dimensions 20m× 15m. A garden is developed around the house.Find the total cost of developing a garden around the house at the rate of 55 per m2.
Answer» Question 2 Mrs Kaushik has a square plot with the measurement as shown in the figure. She wants to construct a house in the middle of the plot with the dimensions $20 m \times 15 m$ . A garden is developed around the house.Find the total cost of developing a garden around the house at the rate of 55 per $m^{2}$ .

Discussion

16.	if initial volume is 2 litre and pressure is 4 atm.then calculate final volume if final pressure is 1 am
Answer» if initial volume is 2 litre and pressure is 4 atm.then calculate final volume if final pressure is 1 am

Discussion

17.	In the following question out of the four options only one is correct, write the correct answer. Arpita's present age is thrice of shilpa. If Shilpa's age three years ago was x, then Arpita's present age is:(a) 3(x – 3)(b) 3x + 3(c) 3x – 9(d) 3(x + 3)
Answer» In the following question out of the four options only one is correct, write the correct answer. Arpita's present age is thrice of shilpa. If Shilpa's age three years ago was x, then Arpita's present age is: (a) 3(x – 3) (b) 3x + 3 (c) 3x – 9 (d) 3(x + 3)

17.

In the following question out of the four options only one is correct, write the correct answer. Arpita's present age is thrice of shilpa. If Shilpa's age three years ago was x, then Arpita's present age is:(a) 3(x – 3)(b) 3x + 3(c) 3x – 9(d) 3(x + 3)

Answer»

In the following question out of the four options only one is correct, write the correct answer.

Arpita's present age is thrice of shilpa. If Shilpa's age three years ago was x, then Arpita's present age is:

(a) 3(x – 3)

(b) 3x + 3

(c) 3x – 9

(d) 3(x + 3)

Discussion

18.	Question 58(ii)Study the distance-time graph given below for a car to travel to certain places and answer the question that follows.How much time does the car take to reach R?
Answer» Question 58(ii) Study the distance-time graph given below for a car to travel to certain places and answer the question that follows. How much time does the car take to reach R?

Discussion

19.	Question 63The negative of the negative of any rational number is the number itself.
Answer» Question 63 The negative of the negative of any rational number is the number itself.

Discussion

20.	The angle formed on a straight line is ___ (in degrees).
Answer» The angle formed on a straight line is ___ (in degrees).

Discussion

21.	Which of the following are regular polygons? Give reasons.(a) A triangle(b) A rectangle(c) An eqilateral triangle(d) A square
Answer» Which of the following are regular polygons? Give reasons. (a) A triangle (b) A rectangle (c) An eqilateral triangle (d) A square

Discussion

22.	The population of a town increases 10% annually. If the present population is 22000, find its population a year ago.
Answer» The population of a town increases 10% annually. If the present population is 22000, find its population a year ago.

Discussion

23.	Consider the binary min heap given below:(min heap is a binary tree where each node in a tree has a key which is less than or equal to the key of its children)Insert the key 1 in above min heap which of the following is the resulantmin heap after two delete operations?
Answer» $Consider the binary min heap given below : (min heap is a binary tree where each node in a tree has a key which is less than or equal to the key of its children) Insert the key 1 in above min heap which of the following is the resulant min heap after two delete operations ?$

Discussion

24.	Give the differences between direct tax and indirect tax. OR Difference between capital receipts and revenue receipts.
Answer» Give the differences between direct tax and indirect tax. OR Difference between capital receipts and revenue receipts.

24.

Give the differences between direct tax and indirect tax. OR Difference between capital receipts and revenue receipts.

Answer»

Give the differences between direct tax and indirect tax.

OR

Difference between capital receipts and revenue receipts.

Discussion

25.	3x+4=4/3x+9
Answer» 3x+4=4/3x+9

Discussion

26.	Arrange the addition statements in ascending order(smallest on top).
Answer» Arrange the addition statements in ascending order (smallest on top).

Discussion

27.	Simplify:.
Answer» Simplify: .

27.

Simplify:.

Answer»

Simplify:

.

Discussion

28.	a car on the cross road is moving towards east at a speed of 40 km/hr another car which is 1 km south of the crossing is approaching the crossing with the same speed their closest distance of approach will be
Answer» a car on the cross road is moving towards east at a speed of 40 km/hr another car which is 1 km south of the crossing is approaching the crossing with the same speed their closest distance of approach will be

Discussion

29.	Factorise:(i) x2 + 6x + 8; (ii) x2 + 4x + 3; (iii) a2 + 5a + 6; (iv) a2 − 5a + 6; (v) a2 − 3a − 40; (vi) x2 − x − 72.
Answer» Factorise: (i) x² + 6x + 8; (ii) x² + 4x + 3; (iii) a² + 5a + 6; (iv) a² − 5a + 6; (v) a² − 3a − 40; (vi) x² − x − 72.

29.

Factorise:(i) x2 + 6x + 8; (ii) x2 + 4x + 3; (iii) a2 + 5a + 6; (iv) a2 − 5a + 6; (v) a2 − 3a − 40; (vi) x2 − x − 72.

Answer»

Factorise:

(i) x² + 6x + 8; (ii) x² + 4x + 3; (iii) a² + 5a + 6; (iv) a² − 5a + 6; (v) a² − 3a − 40; (vi) x² − x − 72.

Discussion

30.	Factorise: a−b−4a2+4b2
Answer» Factorise: $a - b - 4 a^{2} + 4 b^{2}$

30.

Factorise: a−b−4a2+4b2

Answer»

Factorise:

$a - b - 4 a^{2} + 4 b^{2}$

Discussion

31.	Hi I want to know why 2 power 0 is 1 2 power 0 =1
Answer» Hi I want to know why 2 power 0 is 1 2 power 0 =1

Discussion

32.	The remainder when 2045^{2045 }is divided by 7
Answer» The remainder when 2045^{2045 }is divided by 7

Discussion

33.	Find the smallest number by which 100 should be multiplied to obtain a perfect cube.
Answer» Find the smallest number by which 100 should be multiplied to obtain a perfect cube.

Discussion

34.	If x and y are distinct integers, then which of the following is true about x+y2 ?
Answer» If $x$ and $y$ are distinct integers, then which of the following is true about $\frac{x + y}{2}$ ?

Discussion

35.	Find the area of a quadrilateral ABCD in which AB = 3 cm , BC = 4 cm, CD = 4 cm, DA = 5 cm and AC = 5 cm.
Answer» Find the area of a quadrilateral ABCD in which AB = 3 cm , BC = 4 cm, CD = 4 cm, DA = 5 cm and AC = 5 cm.

Discussion

36.	In the given figure, X is any point in the interior of triangle. Point X is joined to vertices of triangle. Seg PQ \|\| seg DE, seg QR \|\| seg EF. Fill in the blanks to prove that, seg PR \|\| seg DF.
Answer» In the given figure, X is any point in the interior of triangle. Point X is joined to vertices of triangle. Seg PQ \|\| seg DE, seg QR \|\| seg EF. Fill in the blanks to prove that, seg PR \|\| seg DF.

Discussion

37.	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

38.	Question 6Write 5 rational number greater than -2.
Answer» Question 6 Write 5 rational number greater than -2.

Discussion

39.	How many significant figures are there in 0.310×105 m ?
Answer» How many significant figures are there in $0.310 \times 10^{5} m$ ?

Discussion

40.	(b) The digit in the ones place of a 2-digit number is twice the digit at theplace. Write the number.
Answer» (b) The digit in the ones place of a 2-digit number is twice the digit at theplace. Write the number.

Discussion

41.	Find the least number that must be added to 3325 so as to get a perfect square.(Use long division method)
Answer» Find the least number that must be added to 3325 so as to get a perfect square.(Use long division method)

Discussion

42.	If x=(/(2-3^1/2), then the value of (x^3-2x^2-7x+5
Answer» If x=(/(2-3^1/2), then the value of (x^3-2x^2-7x+5

Discussion

43.	If an=√7+√7+√7+⋯n times using the principle of mathematical induction which of the following is true ?
Answer» If $a_{n} = \sqrt{7 + \sqrt{7 + \sqrt{7 + \dots}}} n$ times using the principle of mathematical induction which of the following is true ?

Discussion

44.	21. The sum of the ages of husband and his wife is four times the sum of the ages of their children. Four years ago, the ratio of the sum of their ages of the sum of the ages of their children was 18:1.Two years hence the ratio will be 3:1.How many children do they have?
Answer» 21. The sum of the ages of husband and his wife is four times the sum of the ages of their children. Four years ago, the ratio of the sum of their ages of the sum of the ages of their children was 18:1.Two years hence the ratio will be 3:1.How many children do they have?

Discussion

45.	Identify the symmetrical instruments from your mathematical instrument box.
Answer» Identify the symmetrical instruments from your mathematical instrument box.

Discussion

46.	The area of a square field is 729 square feet (sq. ft.). What is the side length of square field?
Answer» The area of a square field is $729$ square feet (sq. ft.). What is the side length of square field?

Discussion

47.	In a LPP, the linear inequalities or restrictions on the variables are called _________.
Answer» In a LPP, the linear inequalities or restrictions on the variables are called _________.

Discussion

48.	The set B={x:x=3n+1, n ϵ N and n≤20} is _________.
Answer» The set $B = {x : x = 3 n + 1, n ϵ N and n \leq 20}$ is _________.

Discussion

49.	The volume (in cubic units) of tetrahedron with vertices ^j+2^k,3^i+^k,4^i+3^j+6^k,2^i+3^j+2^k is equal to:
Answer» The volume (in cubic units) of tetrahedron with vertices $^j + 2^k, 3^i +^k, 4^i + 3^j + 6^k, 2^i + 3^j + 2^k$ is equal to:

Discussion

50.	Show that every positive integer is in the form 2q and that every positive odd integer is of the form 2q+1,where Q is an integer
Answer» Show that every positive integer is in the form 2q and that every positive odd integer is of the form 2q+1,where Q is an integer

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

12.Five years ago a mother was seven times as old as her daughter Five years hence,she will be three times as old as her daughter. Find their present ages

Suppose a medium pizza was eaten by you and your 7 friends. As you were still hungry, you ordered a large pizza this time. The large pizza is again cut into 8 equal parts. The percentage of full large pizza eaten by you is:

Find and correct the errors (if any) in the following expressions:i.)(5x−2)2=25x2+4−20xii.)(3x+2)2=3x2+6x+4

Which of the following equations of line have undefined slope?

If a trapezium ABCD has parallel side AB and CD measured 13 and 17 cm what should be the area of trapezium if the area of triangle ABC = 71cm2.

Which of these shapes has 6 faces, 8 vertices, and 12 edges?

Write the quotient and remainder when we divide: (x2−4x+4) by (x−2)

For what value of a, the lines 2x+3y=3 and ax+12y=12 will have an infinite number of solutions?

The following bar graph shows the types of movies liked by a group of people.The least popular type of movie among the group is ____.

If A=[4−1x−3] is an idempotent matrix, then the value of x is

Question 85 (viii)Expand the following, using suitable identities.(4x5+y4)(4x5+3y4)

Diameter of a bike wheel is 80 cm. Number of complete rotations the wheel makes to cover a distance of 176 m is

If 2x−3y = 10 and xy=16; find the value of 8x3−27y3

Question 2Mrs Kaushik has a square plot with the measurement as shown in the figure. She wants to construct a house in the middle of the plot with the dimensions 20m× 15m. A garden is developed around the house.Find the total cost of developing a garden around the house at the rate of 55 per m2.

if initial volume is 2 litre and pressure is 4 atm.then calculate final volume if final pressure is 1 am

In the following question out of the four options only one is correct, write the correct answer. Arpita's present age is thrice of shilpa. If Shilpa's age three years ago was x, then Arpita's present age is:(a) 3(x – 3)(b) 3x + 3(c) 3x – 9(d) 3(x + 3)

Question 58(ii)Study the distance-time graph given below for a car to travel to certain places and answer the question that follows.How much time does the car take to reach R?

Question 63The negative of the negative of any rational number is the number itself.

The angle formed on a straight line is ___ (in degrees).

Which of the following are regular polygons? Give reasons.(a) A triangle(b) A rectangle(c) An eqilateral triangle(d) A square

The population of a town increases 10% annually. If the present population is 22000, find its population a year ago.

Consider the binary min heap given below:(min heap is a binary tree where each node in a tree has a key which is less than or equal to the key of its children)Insert the key 1 in above min heap which of the following is the resulantmin heap after two delete operations?

Give the differences between direct tax and indirect tax. OR Difference between capital receipts and revenue receipts.

3x+4=4/3x+9

Arrange the addition statements in ascending order(smallest on top).

Simplify:.

a car on the cross road is moving towards east at a speed of 40 km/hr another car which is 1 km south of the crossing is approaching the crossing with the same speed their closest distance of approach will be

Factorise:(i) x2 + 6x + 8; (ii) x2 + 4x + 3; (iii) a2 + 5a + 6; (iv) a2 − 5a + 6; (v) a2 − 3a − 40; (vi) x2 − x − 72.

Factorise: a−b−4a2+4b2

Hi I want to know why 2 power 0 is 1 2 power 0 =1

The remainder when 2045^{2045 }is divided by 7

Find the smallest number by which 100 should be multiplied to obtain a perfect cube.

If x and y are distinct integers, then which of the following is true about x+y2 ?

Find the area of a quadrilateral ABCD in which AB = 3 cm , BC = 4 cm, CD = 4 cm, DA = 5 cm and AC = 5 cm.

In the given figure, X is any point in the interior of triangle. Point X is joined to vertices of triangle. Seg PQ || seg DE, seg QR || seg EF. Fill in the blanks to prove that, seg PR || seg DF.

The value of (4pq+3q)2 − (4pq−3q)2=.

Question 6Write 5 rational number greater than -2.

How many significant figures are there in 0.310×105 m ?

(b) The digit in the ones place of a 2-digit number is twice the digit at theplace. Write the number.

Find the least number that must be added to 3325 so as to get a perfect square.(Use long division method)

If x=(/(2-3^1/2), then the value of (x^3-2x^2-7x+5

If an=√7+√7+√7+⋯n times using the principle of mathematical induction which of the following is true ?

21. The sum of the ages of husband and his wife is four times the sum of the ages of their children. Four years ago, the ratio of the sum of their ages of the sum of the ages of their children was 18:1.Two years hence the ratio will be 3:1.How many children do they have?

Identify the symmetrical instruments from your mathematical instrument box.

The area of a square field is 729 square feet (sq. ft.). What is the side length of square field?

In a LPP, the linear inequalities or restrictions on the variables are called _________.

The set B={x:x=3n+1, n ϵ N and n≤20} is _________.

The volume (in cubic units) of tetrahedron with vertices ^j+2^k,3^i+^k,4^i+3^j+6^k,2^i+3^j+2^k is equal to:

Show that every positive integer is in the form 2q and that every positive odd integer is of the form 2q+1,where Q is an integer