24740 + Interview Questions in Mathematics

1.	Name the polygon shown below.
Answer» Name the polygon shown below.

1.

Name the polygon shown below.

Answer»

Name the polygon shown below.

Discussion

2.

The sequence of events has been jumbled up. Rearrange them and complete the given flowchart. 1) Major Percy and Bill come to the house. 2) Harold comes to know that his father is a boxer. 3) Bill tells his wife that he is doing it for Harold. 4) Jerry Fisher tries to convince Bill to reconsider. 5) Mrs. Bramble is amazed to think that she has brought such a prodigy as Harold into the world. 6) Harold wants to know what will happen to the money he had bet on Murphy losing. 7) Mrs. Bramble is informed that Bill had decided not to fight. 8) Mrs. Bramble resumes work of darning the sock. 9) Harold is alone with his mother in their home.

Answer»

The
sequence of events has been jumbled up. Rearrange them and complete
the given flowchart.

1)
Major Percy and Bill come to the house.

2)
Harold comes to know that his father is a boxer.

3)
Bill tells his wife that he is doing it for Harold.

4)
Jerry Fisher tries to convince Bill to reconsider.

5) Mrs. Bramble is amazed to think that she
has brought such a prodigy as Harold into the world.

6) Harold wants to know what will happen to the
money he had bet on Murphy losing.

7) Mrs.
Bramble is informed that Bill had decided not to fight.

8) Mrs.
Bramble resumes work of darning the sock.

9) Harold is
alone with his mother in their home.

Discussion

3.	Question 5 Write True or False and give reasons for your answer: A ΔABC can be constructed in which ∠B=105∘, ∠C=90∘ and AB + BC + CA = 10cm.
Answer» Question 5 Write True or False and give reasons for your answer: A $Δ A B C$ can be constructed in which $∠ B = 105^{\circ}, ∠ C = 90^{\circ}$ and AB + BC + CA = 10cm.

Discussion

4.	Burst the bubble if the rational number is terminating.
Answer» Burst the bubble if the rational number is terminating.

Discussion

5.	19. If theta is very small then why sin theta turns to theta
Answer» 19. If theta is very small then why sin theta turns to theta

Discussion

6.	Question 80(i)In Delhi University, in the year 2009-10, 49000 seats were available for admission to various courses at graduation level. Out of these 28200 seats were for the students of General Category while 7400 seats were reserved for SC and 3700 seats for ST. Find the percentage of seats available for students of General Category.
Answer» Question 80(i) In Delhi University, in the year 2009-10, 49000 seats were available for admission to various courses at graduation level. Out of these 28200 seats were for the students of General Category while 7400 seats were reserved for SC and 3700 seats for ST. Find the percentage of seats available for students of General Category.

6.

Question 80(i)In Delhi University, in the year 2009-10, 49000 seats were available for admission to various courses at graduation level. Out of these 28200 seats were for the students of General Category while 7400 seats were reserved for SC and 3700 seats for ST. Find the percentage of seats available for students of General Category.

Answer»

Question 80(i)

In Delhi University, in the year 2009-10, 49000 seats were available for admission to various courses at graduation level. Out of these 28200 seats were for the students of General Category while 7400 seats were reserved for SC and 3700 seats for ST. Find the percentage of seats available for students of General Category.

Discussion

7.	Question 4(vi)Simplify:(ab+bc)2−2ab2c
Answer» Question 4(vi) Simplify: $(a b + b c)^{2} - 2 a b^{2} c$

Discussion

8.	Consider two strings A = ''qpqrr''" and "pqprqrp". Let x be the length of common subsequence (not necessarily contains between A and B and let y be the number longest common subsequence between A and B)Then x + 10y = _______34
Answer» Consider two strings A = ''qpqrr''" and "pqprqrp". Let x be the length of common subsequence (not necessarily contains between A and B and let y be the number longest common subsequence between A and B) Then x + 10y = _______ 34

Discussion

9.	The difference between the semiperimeter and the sides of a ΔABC are 8 cm, 7 cm and 5 cm respectively. Find the area of the triangle.
Answer» The difference between the semiperimeter and the sides of a $Δ A B C$ are 8 cm, 7 cm and 5 cm respectively. Find the area of the triangle.

Discussion

10.	In △ABC, the medians BE and CF intersect at G. AD is a line meeting BC at D. If GD is 1.5 cm, then find the value of AD.
Answer» In $△$ ABC, the medians BE and CF intersect at G. AD is a line meeting BC at D. If GD is 1.5 cm, then find the value of AD.

10.

In △ABC, the medians BE and CF intersect at G. AD is a line meeting BC at D. If GD is 1.5 cm, then find the value of AD.

Answer»

In $△$ ABC, the medians BE and CF intersect at G. AD is a line meeting BC at D. If GD is 1.5 cm, then find the value of AD.

Discussion

11.	The triangle formed by x-axis, y - axis and the line 3x+4y+c=0 has inradius 1. Then the value of \|c\| is
Answer» The triangle formed by x-axis, y - axis and the line 3x+4y+c=0 has inradius 1. Then the value of \|c\| is

Discussion

12.	827x3+1+43x2+2x
Answer» $\frac{8}{27} x^{3} + 1 + \frac{4}{3} x^{2} + 2 x$

Discussion

13.	Without plotting the points on a graph, state in which quadrant or on which axis do the following point lie.(i) (5,-3) (ii) (-7, -12) (iii) (-23, 4) (iv) (-9, 5) (v) (0, -3) (vi) (-6, 0)
Answer» Without plotting the points on a graph, state in which quadrant or on which axis do the following point lie. (i) (5, $-$ 3) (ii) ( $-$ 7, $-$ 12) (iii) ( $-$ 23, 4) (iv) ( $-$ 9, 5) (v) (0, $-$ 3) (vi) ( $-$ 6, 0)

Discussion

14.	Find the value of x which satisfies the relation: log103+log104x+1=log10x+1+1
Answer» Find the value of x which satisfies the relation: $l o g_{10} 3 + l o g_{10} 4 x + 1 = l o g_{10} x + 1 + 1$

Discussion

15.	In a Δ ABC, if ∠A = 55°, ∠B = 40°, find ∠C.
Answer» In a Δ ABC, if ∠A = 55°, ∠B = 40°, find ∠C.

Discussion

16.	ABCD is a cyclic quadrilateral whose diagonals intersect at a point E. If ∠DBC=70∘ and ∠BAC=30∘, then find ∠BCD. Further, if AB = BC, then find ∠ECD.
Answer» ABCD is a cyclic quadrilateral whose diagonals intersect at a point E. If $∠ D B C = 70^{\circ}$ and $∠ B A C = 30^{\circ}$ , then find $∠ B C D$ . Further, if AB = BC, then find $∠ E C D$ .

16.

ABCD is a cyclic quadrilateral whose diagonals intersect at a point E. If ∠DBC=70∘ and ∠BAC=30∘, then find ∠BCD. Further, if AB = BC, then find ∠ECD.

Answer»

ABCD is a cyclic quadrilateral whose diagonals intersect at a point E. If $∠ D B C = 70^{\circ}$ and $∠ B A C = 30^{\circ}$ , then find $∠ B C D$ . Further, if AB = BC, then find $∠ E C D$ .

Discussion

17.	B={x\|x is the prime factor of 120}
Answer» B={x\|x is the prime factor of 120}

Discussion

18.	The area of a rhombus, the lengths of whose diagonals are 16 cm and 24 cm, is
Answer» The area of a rhombus, the lengths of whose diagonals are 16 cm and 24 cm, is

Discussion

19.	Write the coordinates of each of the following points marked in the graph paper.
Answer» Write the coordinates of each of the following points marked in the graph paper.

19.

Write the coordinates of each of the following points marked in the graph paper.

Answer»

Write the coordinates of each of the following points marked in the graph paper.

Discussion

20.	Question 15Let ¯x be the mean of x1,x2,……xn, and ¯y be the mean of y1,y2,……yn. If ¯z represents the mean of x1,x2,……xn,y1,y2,……yn, then ¯z is equal to:A) ¯x+¯yB) ¯x+¯y2C) ¯x+¯ynD) ¯x+¯y2n
Answer» Question 15 Let $¯ x$ be the mean of $x_{1}, x_{2}, \dots \dots x_{n}$ , and $¯ y$ be the mean of $y_{1}, y_{2}, \dots \dots y_{n}$ . If $¯ z$ represents the mean of $x_{1}, x_{2}, \dots \dots x_{n}, y_{1}, y_{2}, \dots \dots y_{n}$ , then $¯ z$ is equal to: A) $¯ x + ¯ y$ B) $\frac{¯ x + ¯ y}{2}$ C) $\frac{¯ x + ¯ y}{n}$ D) $\frac{¯ x + ¯ y}{2 n}$

Discussion

21.	√3 is a polynomial of degree (a) 12 (b) 2 (c) 1 (d) 0
Answer» $\sqrt{3}$ is a polynomial of degree (a) $\frac{1}{2}$ (b) $2$ (c) $1$ (d) $0$

Discussion

22.	Factorise a3+0.008
Answer» Factorise $a^{3} + 0.008$

Discussion

23.	40% of a number is 800, then find the number?
Answer» 40% of a number is 800, then find the number?

Discussion

24.	let x={1, 2,3,4,5}.the no. of different ordered pairs (y, z) that can be formed such that y is subset of x, z is subset of x and y intersection z is empty is
Answer» let x={1, 2,3,4,5}.the no. of different ordered pairs (y, z) that can be formed such that y is subset of x, z is subset of x and y intersection z is empty is

Discussion

25.	If x=2 and y=3, what is the value of xx+yy ?
Answer» If x=2 and y=3, what is the value of $x^{x}$ + $y^{y}$ ?

Discussion

26.	M is the midpoint of side AB of a parallelogram ABCD.If ar(AMCD) =24 cm2,find ar(△ ABC).
Answer» M is the midpoint of side AB of a parallelogram ABCD.If ar(AMCD) = $24 c m^{2}$ ,find ar( $△ A B C)$ .

Discussion

27.	If a + b + c = 9 and ab + bc + ca = 23, find the value of a2 + b2 + c2.
Answer» If a + b + c = 9 and ab + bc + ca = 23, find the value of a² + b²+ c².

Discussion

28.	Find two irrational numbers between 0.16 and 0.17.
Answer» Find two irrational numbers between 0.16 and 0.17.

Discussion

29.	If a² + b² + c² + d² = 25, out of the following statements the correct one is : (1)ab + bc + cd + da < 25(2)ab + bc + cd + da > 25(3)ab + bc + cd + da < 25/2(4)ab + bc + cd + da > 25/2
Answer» If a² + b² + c² + d² = 25, out of the following statements the correct one is : (1)ab + bc + cd + da < 25 (2)ab + bc + cd + da > 25 (3)ab + bc + cd + da < 25/2 (4)ab + bc + cd + da > 25/2

Discussion

30.	If B lies between A and C, AC = 15 cm and BC = 9 cm. What is AB?
Answer» If B lies between A and C, AC = 15 cm and BC = 9 cm. What is AB?

Discussion

31.	Write the coefficient of x2 in each of the following. (i) 17 - 2x + 7x2 (ii) 9 - 12x + x3 (iii) π6x2 - 3x + 4 (iv) √3 x - 7
Answer» Write the coefficient of $x^{2}$ in each of the following. (i) 17 - 2x + 7 $x^{2}$ (ii) 9 - 12x + $x^{3}$ (iii) $\frac{π}{6} x^{2}$ - 3x + 4 (iv) $\sqrt{3}$ x - 7

31.

Write the coefficient of x2 in each of the following. (i) 17 - 2x + 7x2 (ii) 9 - 12x + x3 (iii) π6x2 - 3x + 4 (iv) √3 x - 7

Answer»

Write the coefficient of $x^{2}$ in each of the following.

(i) 17 - 2x + 7 $x^{2}$

(ii) 9 - 12x + $x^{3}$

(iii) $\frac{π}{6} x^{2}$ - 3x + 4

(iv) $\sqrt{3}$ x - 7

Discussion

32.	Question 8The product of a non – zero rational and an irrational number isA) Always irrationalB) Always rationalC) Rational or irrationalD) One
Answer» Question 8 The product of a non – zero rational and an irrational number is A) Always irrational B) Always rational C) Rational or irrational D) One

Discussion

33.	A storage tank in the form of a cube has water up to its brim. The amount of water in the tank is 4,096 m3. After sometime, some water was used and it is found that the depth of water present is 12 m. Find the volume of water used in cubic meters.
Answer» A storage tank in the form of a cube has water up to its brim. The amount of water in the tank is 4,096 m³. After sometime, some water was used and it is found that the depth of water present is 12 m. Find the volume of water used in cubic meters.

Discussion

34.	Question 11Which of the following is a property of a parallelogram?a) Opposite sides are parallelb) The diagonals bisect each other at right anglesc) The diagonals are perpendicular to each otherd) All angles are equal
Answer» Question 11 Which of the following is a property of a parallelogram? a) Opposite sides are parallel b) The diagonals bisect each other at right angles c) The diagonals are perpendicular to each other d) All angles are equal

Discussion

35.	In a ΔABC, if ∠A=55∘, ∠B=40∘, find ∠C
Answer» In a $Δ A B C$ , if $∠ A = 55^{\circ}, ∠ B = 40^{\circ}$ , find $∠ C$

Discussion

36.	Factorise.(1) x3 + 64y3(2) 125p3 + q3 (3) 125k3 + 27m3 (4) 2l3 + 432m3 (5) 24a3 + 81b3 (6) y3 + 18y3(7) a3 + 8a3(8) 1 + q3125
Answer» Factorise. (1) x³+ 64y³ (2) 125p³+ q³ (3) 125k³+ 27m³ (4) 2l³+ 432m³ (5) 24a³+ 81b³ (6) y³+ $\frac{1}{8 y^{3}}$ (7) a³+ $\frac{8}{a^{3}}$ (8) 1 + $\frac{q^{3}}{125}$

Discussion

37.	In the adjoining figure, ΔQPR is right-angled at Q in which QR = 6 cm and PQ = 7 cm. Find the area of ΔQSR, given that PS is parallel to QR.
Answer» In the adjoining figure, $Δ Q P R$ is right-angled at Q in which QR = 6 cm and PQ = 7 cm. Find the area of $Δ Q S R$ , given that PS is parallel to QR.

Discussion

38.	area bounded by y=\vert x\vert-1 and y+\vert x\vert=1 i
Answer» area bounded by y=\vert x\vert-1 and y+\vert x\vert=1 i

Discussion

39.	To fill a 4 m wide, 8 m long and 3 m deep sand box, how much sand do you need?
Answer» To fill a 4 m wide, 8 m long and 3 m deep sand box, how much sand do you need?

Discussion

40.	39. Sum of two zeroes of a polynomial of degree four is (-1) and their product is(-2). If other two zeroes are 3 and -3. Find the polynomial
Answer» 39. Sum of two zeroes of a polynomial of degree four is (-1) and their product is(-2). If other two zeroes are 3 and -3. Find the polynomial

Discussion

41.	Question 50___surface area of room = Area of 4 walls.
Answer» Question 50 ___surface area of room = Area of 4 walls.

41.

Question 50___surface area of room = Area of 4 walls.

Answer»

Question 50

___surface area of room = Area of 4 walls.

Discussion

42.	If ΔDEF≅ΔBCA, write the part(s) of ΔBCA that corresponds to: ¯¯¯¯¯¯¯¯¯DF
Answer» If $Δ D E F ≅ Δ B C A$ , write the part(s) of $Δ B C A$ that corresponds to: $¯ ¯¯¯¯¯¯¯ ¯ D F$

Discussion

43.	X square - 5 x + 1 if x is not equal to zero then find x cube + 1 upon x cube l
Answer» X square - 5 x + 1 if x is not equal to zero then find x cube + 1 upon x cube l

Discussion

44.	Which among the following is the perimeter of the triangle with sides a, b and c?
Answer» Which among the following is the perimeter of the triangle with sides a, b and c?

Discussion

45.	Find the area of a triangle, two sides of which are 8 cm and 12 cm and the perimeter is 38 cm .
Answer» Find the area of a triangle, two sides of which are 8 cm and 12 cm and the perimeter is 38 cm .

Discussion

46.	Find the answers to the following questions based on the graph below:a) What does the bar graph represent?b) In which year did the city have the maximum rainfall?c) In which year did the city have the minimum rainfall?d) How much rainfall was recorded in the year 2007?
Answer» Find the answers to the following questions based on the graph below: a) What does the bar graph represent? b) In which year did the city have the maximum rainfall? c) In which year did the city have the minimum rainfall? d) How much rainfall was recorded in the year 2007?

46.

Find the answers to the following questions based on the graph below:a) What does the bar graph represent?b) In which year did the city have the maximum rainfall?c) In which year did the city have the minimum rainfall?d) How much rainfall was recorded in the year 2007?

Answer»

Find the answers to the following questions based on the graph below:

a) What does the bar graph represent?

b) In which year did the city have the maximum rainfall?

c) In which year did the city have the minimum rainfall?

d) How much rainfall was recorded in the year 2007?

Discussion

47.	Meena needs to serve mango juice to her guests in cylindrical tumblers of radius 7 cm up to a height of 10 cm. If she wants to serve 25 guests, how much juice does she need to prepare?
Answer» Meena needs to serve mango juice to her guests in cylindrical tumblers of radius 7 cm up to a height of 10 cm. If she wants to serve 25 guests, how much juice does she need to prepare?

Discussion

48.	Factorize:3. xx3-y3 + 3xy (x-y)
Answer» Factorize: 3. $x (x^{3} - y^{3}) + 3 x y (x - y)$

Discussion

49.	Question 8In trapezium ABCD, AB \|\| DC and L is the midpoint of BC. Through L, a line PQ \|\| AD has been drawn which meets AB in P and DC produced in Q. prove that ar (ABCD) = ar (APQD).
Answer» Question 8 In trapezium ABCD, AB \|\| DC and L is the midpoint of BC. Through L, a line PQ \|\| AD has been drawn which meets AB in P and DC produced in Q. prove that ar (ABCD) = ar (APQD).

Discussion

50.

Consider the two ‘postulates’ given below:(i) Given any two distinct points A and B, there exists a third point C, which is between A and B.(ii) There exists at least three points that are not on the same line.Do these postulates contain any undefined terms? Are these postulates consistent?Do they follow from Euclid’s postulates? Explain.

Answer»

Consider the two ‘postulates’ given below:

(i) Given any two distinct points A and B, there exists a third point C, which is between A and B.

(ii) There exists at least three points that are not on the same line.

Do these postulates contain any undefined terms? Are these postulates consistent?

Do they follow from Euclid’s postulates? Explain.

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

Name the polygon shown below.

Question 5 Write True or False and give reasons for your answer: A ΔABC can be constructed in which ∠B=105∘, ∠C=90∘ and AB + BC + CA = 10cm.

Burst the bubble if the rational number is terminating.

19. If theta is very small then why sin theta turns to theta

Question 4(vi)Simplify:(ab+bc)2−2ab2c

Consider two strings A = ''qpqrr''" and "pqprqrp". Let x be the length of common subsequence (not necessarily contains between A and B and let y be the number longest common subsequence between A and B)Then x + 10y = _______34

The difference between the semiperimeter and the sides of a ΔABC are 8 cm, 7 cm and 5 cm respectively. Find the area of the triangle.

In △ABC, the medians BE and CF intersect at G. AD is a line meeting BC at D. If GD is 1.5 cm, then find the value of AD.

The triangle formed by x-axis, y - axis and the line 3x+4y+c=0 has inradius 1. Then the value of |c| is

827x3+1+43x2+2x

Without plotting the points on a graph, state in which quadrant or on which axis do the following point lie.(i) (5,-3) (ii) (-7, -12) (iii) (-23, 4) (iv) (-​9, 5) (v) (0, -3) (vi) (-6, 0)

Find the value of x which satisfies the relation: log103+log104x+1=log10x+1+1

In a Δ ABC, if ∠A = 55°, ∠B = 40°, find ∠C.

ABCD is a cyclic quadrilateral whose diagonals intersect at a point E. If ∠DBC=70∘ and ∠BAC=30∘, then find ∠BCD. Further, if AB = BC, then find ∠ECD.

B={x|x is the prime factor of 120}

The area of a rhombus, the lengths of whose diagonals are 16 cm and 24 cm, is

Write the coordinates of each of the following points marked in the graph paper.

Question 15Let ¯x be the mean of x1,x2,……xn, and ¯y be the mean of y1,y2,……yn. If ¯z represents the mean of x1,x2,……xn,y1,y2,……yn, then ¯z is equal to:A) ¯x+¯yB) ¯x+¯y2C) ¯x+¯ynD) ¯x+¯y2n

√3 is a polynomial of degree (a) 12 (b) 2 (c) 1 (d) 0

Factorise a3+0.008

40% of a number is 800, then find the number?

let x={1, 2,3,4,5}.the no. of different ordered pairs (y, z) that can be formed such that y is subset of x, z is subset of x and y intersection z is empty is

If x=2 and y=3, what is the value of xx+yy ?

M is the midpoint of side AB of a parallelogram ABCD.If ar(AMCD) =24 cm2,find ar(△ ABC).

If a + b + c = 9 and ab + bc + ca = 23, find the value of a2 + b2 + c2.

Find two irrational numbers between 0.16 and 0.17.

If a² + b² + c² + d² = 25, out of the following statements the correct one is : (1)ab + bc + cd + da < 25(2)ab + bc + cd + da > 25(3)ab + bc + cd + da < 25/2(4)ab + bc + cd + da > 25/2

If B lies between A and C, AC = 15 cm and BC = 9 cm. What is AB?

Write the coefficient of x2 in each of the following. (i) 17 - 2x + 7x2 (ii) 9 - 12x + x3 (iii) π6x2 - 3x + 4 (iv) √3 x - 7

Question 8The product of a non – zero rational and an irrational number isA) Always irrationalB) Always rationalC) Rational or irrationalD) One

A storage tank in the form of a cube has water up to its brim. The amount of water in the tank is 4,096 m3. After sometime, some water was used and it is found that the depth of water present is 12 m. Find the volume of water used in cubic meters.

Question 11Which of the following is a property of a parallelogram?a) Opposite sides are parallelb) The diagonals bisect each other at right anglesc) The diagonals are perpendicular to each otherd) All angles are equal

In a ΔABC, if ∠A=55∘, ∠B=40∘, find ∠C

Factorise.(1) x3 + 64y3(2) 125p3 + q3 (3) 125k3 + 27m3 (4) 2l3 + 432m3 (5) 24a3 + 81b3 (6) y3 + 18y3(7) a3 + 8a3(8) 1 + q3125

In the adjoining figure, ΔQPR is right-angled at Q in which QR = 6 cm and PQ = 7 cm. Find the area of ΔQSR, given that PS is parallel to QR.

area bounded by y=\vert x\vert-1 and y+\vert x\vert=1 i

To fill a 4 m wide, 8 m long and 3 m deep sand box, how much sand do you need?

39. Sum of two zeroes of a polynomial of degree four is (-1) and their product is(-2). If other two zeroes are 3 and -3. Find the polynomial

Question 50___surface area of room = Area of 4 walls.

If ΔDEF≅ΔBCA, write the part(s) of ΔBCA that corresponds to: ¯¯¯¯¯¯¯¯¯DF

X square - 5 x + 1 if x is not equal to zero then find x cube + 1 upon x cube l

Which among the following is the perimeter of the triangle with sides a, b and c?

Find the area of a triangle, two sides of which are 8 cm and 12 cm and the perimeter is 38 cm .

Find the answers to the following questions based on the graph below:a) What does the bar graph represent?b) In which year did the city have the maximum rainfall?c) In which year did the city have the minimum rainfall?d) How much rainfall was recorded in the year 2007?

Meena needs to serve mango juice to her guests in cylindrical tumblers of radius 7 cm up to a height of 10 cm. If she wants to serve 25 guests, how much juice does she need to prepare?

Factorize:3. xx3-y3 + 3xy (x-y)

Question 8In trapezium ABCD, AB || DC and L is the midpoint of BC. Through L, a line PQ || AD has been drawn which meets AB in P and DC produced in Q. prove that ar (ABCD) = ar (APQD).

Without plotting the points on a graph, state in which quadrant or on which axis do the following point lie.(i) (5,-3) (ii) (-7, -12) (iii) (-23, 4) (iv) (-9, 5) (v) (0, -3) (vi) (-6, 0)