24740 + Interview Questions in Mathematics

1.	If f(x)=3x4−5x2+9, find f(x - 1).
Answer» If $f (x) = 3 x^{4} - 5 x^{2} + 9$ , find f(x - 1).

Discussion

2.	In the figure, AB = AC and AP ⊥ BC. Then
Answer» In the figure, AB = AC and AP $⊥$ BC. Then

2.

In the figure, AB = AC and AP ⊥ BC. Then

Answer»

In the figure, AB = AC and AP $⊥$ BC. Then

Discussion

3.	If ADBD=35, AC = 14 cm and DE∥BC Find EC.
Answer» If $\frac{A D}{B D} = \frac{3}{5}$ , AC = 14 cm and $D E ∥ B C$ Find EC.

3.

If ADBD=35, AC = 14 cm and DE∥BC Find EC.

Answer»

If $\frac{A D}{B D} = \frac{3}{5}$ , AC = 14 cm and $D E ∥ B C$ Find EC.

Discussion

4.	Which of these lines pass through the point (3, 2)?
Answer» Which of these lines pass through the point (3, 2)?

Discussion

5.	Construct the equilateral triangle whose altitude is 9 cm. Find the side of the triangle.
Answer» Construct the equilateral triangle whose altitude is 9 cm. Find the side of the triangle.

Discussion

6.	If y =logx 2. Find the value of log4 x.
Answer» If y = ${log}_{x}$ 2. Find the value of ${log}_{4}$ x.

Discussion

7.	Question 43 Which of the following is not true for an exterior angle of a regular polygon with n sides? a) Each exterior angle =360∘n b) Exterior angle =180∘ - Interior angle c) n=360∘Exterior angle d) Each exterior angle =(n−2)×180∘n
Answer» Question 43 Which of the following is not true for an exterior angle of a regular polygon with n sides? a) Each exterior angle $= \frac{360^{\circ}}{n}$ b) Exterior angle $= 180^{\circ}$ - Interior angle c) $n = \frac{360^{\circ}}{E x t e r i o r a n g l e}$ d) Each exterior angle $= \frac{(n - 2) \times 180^{\circ}}{n}$

Discussion

8.	The area of figure 1 (in cm2) and area of figure 2 (in cm2) are __ and __ respectively.
Answer» The area of figure 1 (in $c m^{2}$ ) and area of figure 2 (in $c m^{2}$ ) are __ and __ respectively.

8.

The area of figure 1 (in cm2) and area of figure 2 (in cm2) are and respectively.

Answer»

The area of figure 1 (in $c m^{2}$ ) and area of figure 2 (in $c m^{2}$ ) are __ and __ respectively.

Discussion

9.	Find the range Of f(x)=(1-(x2-6x+9)1/2)1/2
Answer» Find the range Of f(x)=(1-(x²-6x+9)^1/2)^1/2

Discussion

10.	The area of triangle ABC is 15 cm sq. If ΔABC and a parallelogram ABPD are on the same base and between the same parallel lines then what is the area of parallelogram ABPD.
Answer» The area of triangle ABC is 15 cm sq. If ΔABC and a parallelogram ABPD are on the same base and between the same parallel lines then what is the area of parallelogram ABPD.

Discussion

11.	Sohail opened a recurring deposit account in Union bank and he deposits Rs 150 per month for a time period of 8 months. He receives Rs 1236 at the time of maturity. What is the rate of interest?
Answer» Sohail opened a recurring deposit account in Union bank and he deposits Rs 150 per month for a time period of 8 months. He receives Rs 1236 at the time of maturity. What is the rate of interest?

Discussion

12.	p(0), p(1) and p(2) for each of the following polynomials: (1.) p(x)=x3
Answer» p(0), p(1) and p(2) for each of the following polynomials: (1.) p(x)=x³

Discussion

13.	Question 81 The earth rotates 360∘ about its axis in about 24 hours. By how much degree will it rotate in 2 hours?
Answer» Question 81 The earth rotates $360^{\circ}$ about its axis in about 24 hours. By how much degree will it rotate in 2 hours?

13.

Question 81 The earth rotates 360∘ about its axis in about 24 hours. By how much degree will it rotate in 2 hours?

Answer»

Question 81

The earth rotates $360^{\circ}$ about its axis in about 24 hours. By how much degree will it rotate in 2 hours?

Discussion

14.	As used in the passage, which of the following is the closest alternative to the word "arcane"?
Answer» As used in the passage, which of the following is the closest alternative to the word "arcane"?

Discussion

15.	Question 2 (i) Write True or False. Give reasons for your answers. (i) Line segment joining the centre to any point on the circle is a radius of the circle
Answer» Question 2 (i) Write True or False. Give reasons for your answers. (i) Line segment joining the centre to any point on the circle is a radius of the circle

Discussion

16.	Use the Venn diagram to find A∪B.
Answer» Use the Venn diagram to find $A \cup B$ .

16.

Use the Venn diagram to find A∪B.

Answer»

Use the Venn diagram to find $A \cup B$ .

Discussion

17.	Two triangles have equal area of 24cm2 and stand on the same base of 6 cm, if the distance PQ (on base) between their altitudes is equal to the length of one of the altitude. Then the area of quadrilateral formed by the altitudes and the base PQ is equal to:
Answer» Two triangles have equal area of $24 c m^{2}$ and stand on the same base of 6 cm, if the distance PQ (on base) between their altitudes is equal to the length of one of the altitude. Then the area of quadrilateral formed by the altitudes and the base PQ is equal to:

Discussion

18.	8,00,000÷100=
Answer» $8, 00, 000 \div 100 =$

Discussion

19.	If the probability of a quadrilateral being a square is 0.4 then the probability of the quadrilateral not being a square is ___.
Answer» If the probability of a quadrilateral being a square is 0.4 then the probability of the quadrilateral not being a square is ___.

Discussion

20.	E and F are the midpoints of the sides AB and AC respectively of ΔABC; G and H are the midpoints of sides AE and AF respectively of the ΔAEF. If GH=1.8 cm, find BC.
Answer» E and F are the midpoints of the sides AB and AC respectively of $Δ A B C$ ; G and H are the midpoints of sides AE and AF respectively of the $Δ A E F .$ If GH=1.8 cm, find BC.

Discussion

21.	A dice is thrown. If it shows n, n different balls are drawn from a box containing 6 balls of different colors. How many elements are there in the sample space, if the outcomes considered are the number of different color combination possible? ___
Answer» A dice is thrown. If it shows n, n different balls are drawn from a box containing 6 balls of different colors. How many elements are there in the sample space, if the outcomes considered are the number of different color combination possible? ___

Discussion

22.	Find the area of a regular hexagon with side length 4 cm.
Answer» Find the area of a regular hexagon with side length 4 cm.

Discussion

23.	If (x2-y2) =18 and (x-y) =3, find the value of 16x2y2
Answer» If (x²-y²) =18 and (x-y) =3, find the value of 16x²y²

Discussion

24.	In triangle ABC; ∠ A = 600, ∠ C = 400 and bisector of angle ABC meets side AC at point P. Show that BP= CP.
Answer» In triangle ABC; $∠$ A = $60^{0}$ , $∠$ C = $40^{0}$ and bisector of angle ABC meets side AC at point P. Show that BP= CP.

Discussion

25.	Three circles with centres A, B and C touch each other externally. If, AB = 5cm, BC = 7 cm and CA = 6 cm. Find the sum of radii of the circles in cm. ___
Answer» Three circles with centres A, B and C touch each other externally. If, AB = 5cm, BC = 7 cm and CA = 6 cm. Find the sum of radii of the circles in cm. ___

Discussion

26.	negative of a number is called
Answer» negative of a number is called

Discussion

27.	It is known that if a+b =8 then a+b+r.The Euclid axiom that illustrates this statement is a.1st axiom b. 2nd axiom c. 3rd axiom d. 4th axiom THIS QUESTION FORM THE CHAPTER INTRODUCTION TO ECULIDS GEOMETRY
Answer» It is known that if a+b =8 then a+b+r.The Euclid axiom that illustrates this statement is a.1st axiom b. 2nd axiom c. 3rd axiom d. 4th axiom THIS QUESTION FORM THE CHAPTER INTRODUCTION TO ECULIDS GEOMETRY

Discussion

28.	If log a + log b = log c then a = _______ .
Answer» If log a + log b = log c then a = _______ .

Discussion

29.	The mean of 8 observations is 40. If 5 is added to each observation,then find the value of the new mean.
Answer» The mean of 8 observations is 40. If 5 is added to each observation,then find the value of the new mean.

Discussion

30.	Question 8 XY is a line parallel to side BC of a triangle ABC. If BE \|\| AC and CF \|\| AB meet XY at E and F respectively, show that ar(ΔABE)=ar(ΔACF).
Answer» Question 8 XY is a line parallel to side BC of a triangle ABC. If BE \|\| AC and CF \|\| AB meet XY at E and F respectively, show that $a r (Δ A B E) = a r (Δ A C F)$ .

Discussion

31.	Who is considered as the father of economics?
Answer» Who is considered as the father of economics?

Discussion

32.	Distance of point A from the given line CD is ___
Answer» Distance of point A from the given line CD is ___

32.

Distance of point A from the given line CD is ___

Answer»

Distance of point A from the given line CD is

___

Discussion

33.	In the adjoining figure, if PQ \|\| RS, ∠PAB = 45o and ∠ACS = 135o, the value of p and q
Answer» In the adjoining figure, if PQ \|\| RS, ∠PAB = 45^o and ∠ACS = 135^o, the value of p and q

33.

In the adjoining figure, if PQ || RS, ∠PAB = 45o and ∠ACS = 135o, the value of p and q

Answer»

In the adjoining figure, if PQ || RS, ∠PAB = 45^o and ∠ACS = 135^o, the value of p and q

Discussion

34.	The x and y intercepts of the line x + y = 3 are:
Answer» The x and y intercepts of the line x + y = 3 are:

Discussion

35.	Where notations have usual meanings, the quadrilateral in the figure
Answer» Where notations have usual meanings, the quadrilateral in the figure

35.

Where notations have usual meanings, the quadrilateral in the figure

Answer»

Where notations have usual meanings, the quadrilateral in the figure

Discussion

36.	If 13x - 2y + 34 = 19 - 2y is represented in the form of ax + by + c = 0, then what is the value of b?
Answer» If 13x - 2y + 34 = 19 - 2y is represented in the form of ax + by + c = 0, then what is the value of b?

Discussion

37.	What is the difference between the ordinates of the points (−2, 3) and (5, 8)?
Answer» What is the difference between the ordinates of the points (−2, 3) and (5, 8)?

Discussion

38.	The second degree factors of x4 – 5x2 - 24 are
Answer» The second degree factors of x⁴ – 5x² - 24 are

Discussion

39.	Two equilateral triangles are congruent when:
Answer» Two equilateral triangles are congruent when:

Discussion

40.	If N is the sum of first 13986 prime numbers, then N is always divisible by:
Answer» If N is the sum of first 13986 prime numbers, then N is always divisible by:

Discussion

41.	The expansion of (x+y)3 is
Answer» The expansion of ${(x + y)}^{3}$ is

Discussion

42.	Find the value of 223×216.
Answer» Find the value of $2^{\frac{2}{3}} \times 2^{\frac{1}{6}}$ .

Discussion

43.	Question 7 From a point on the ground, the angles of elevation of the bottom and the top of a transmission tower fixed at the top of a 20 m high building are 45∘ and 60∘ respectively. Find the height of the tower.
Answer» Question 7 From a point on the ground, the angles of elevation of the bottom and the top of a transmission tower fixed at the top of a 20 m high building are $45^{\circ}$ and $60^{\circ}$ respectively. Find the height of the tower.

Discussion

44.	Show that four points (0, – 1), (6, 7), (–2, 3) and (8, 3) are the vertices of a rectangle. Also, find its area. [3 MARKS]
Answer» Show that four points (0, – 1), (6, 7), (–2, 3) and (8, 3) are the vertices of a rectangle. Also, find its area. [3 MARKS]

Discussion

45.	If the area of a triangle is 6√6 cm2 and its two sides are 5 cm and 6 cm. Find the perimeter of the triangle.
Answer» If the area of a triangle is 6 $\sqrt{6} {c m}^{2}$ and its two sides are $5$ cm and $6$ cm. Find the perimeter of the triangle.

Discussion

46.	In the figure, ∠PQR = 90o, PS = RS, QP = 12 cm and QS = 6.5 cm. The area of ∆PQR is
Answer» In the figure, ∠PQR = 90^o, PS = RS, QP = 12 cm and QS = 6.5 cm. The area of ∆PQR is

46.

In the figure, ∠PQR = 90o, PS = RS, QP = 12 cm and QS = 6.5 cm. The area of ∆PQR is

Answer»

In the figure, ∠PQR = 90^o, PS = RS, QP = 12 cm and QS = 6.5 cm. The area of ∆PQR is

Discussion

47.	In the adjoining figure, AB and AC are two equal chords of a circle with centre O. Show that O lies on the bisector of ∠BAC. [3 MARKS]
Answer» In the adjoining figure, AB and AC are two equal chords of a circle with centre O. Show that O lies on the bisector of $∠ B A C$ . [3 MARKS]

47.

In the adjoining figure, AB and AC are two equal chords of a circle with centre O. Show that O lies on the bisector of ∠BAC. [3 MARKS]

Answer»

In the adjoining figure, AB and AC are two equal chords of a circle with centre O. Show that O lies on the bisector of $∠ B A C$ . [3 MARKS]

Discussion

48.	Question 4 The paint in a certain container is sufficient to paint an area equal to 9.375 m2. How many bricks of dimensions 22.5 cm×10 cm×7.5 cm can be painted out of this container?
Answer» Question 4 The paint in a certain container is sufficient to paint an area equal to $9.375 m^{2}$ . How many bricks of dimensions $22.5 c m \times 10 c m \times 7.5 c m$ can be painted out of this container?

Discussion

49.	Question 8 (i) A dome of a building is in the form of a hemisphere. From inside, it was whitewashed at the cost of ₹ 498.96. If the cost of whitewashing is ₹ 2 per square meter, find: (i) the inside surface area of the dome, [Assume π=227]
Answer» Question 8 (i) A dome of a building is in the form of a hemisphere. From inside, it was whitewashed at the cost of ₹ 498.96. If the cost of whitewashing is ₹ 2 per square meter, find: (i) the inside surface area of the dome, $[A s s u m e π = \frac{22}{7}]$

Discussion

50.	The accommodation in an apartment costs ₹ 42 lakh. After 6 months, there was a 10% price hike, the new cost is:
Answer» The accommodation in an apartment costs ₹ 42 lakh. After 6 months, there was a 10% price hike, the new cost is:

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

If f(x)=3x4−5x2+9, find f(x - 1).

In the figure, AB = AC and AP ⊥ BC. Then

If ADBD=35, AC = 14 cm and DE∥BC Find EC.

Which of these lines pass through the point (3, 2)?

Construct the equilateral triangle whose altitude is 9 cm. Find the side of the triangle.

If y =logx 2. Find the value of log4 x.

Question 43 Which of the following is not true for an exterior angle of a regular polygon with n sides? a) Each exterior angle =360∘n b) Exterior angle =180∘ - Interior angle c) n=360∘Exterior angle d) Each exterior angle =(n−2)×180∘n

The area of figure 1 (in cm2​) and area of figure 2 (in cm2​) are __ and __ respectively.

Find the range Of f(x)=(1-(x2-6x+9)1/2)1/2

The area of triangle ABC is 15 cm sq. If ΔABC and a parallelogram ABPD are on the same base and between the same parallel lines then what is the area of parallelogram ABPD.

Sohail opened a recurring deposit account in Union bank and he deposits Rs 150 per month for a time period of 8 months. He receives Rs 1236 at the time of maturity. What is the rate of interest?

p(0), p(1) and p(2) for each of the following polynomials: (1.) p(x)=x​​​​​3

Question 81 The earth rotates 360∘ about its axis in about 24 hours. By how much degree will it rotate in 2 hours?

As used in the passage, which of the following is the closest alternative to the word "arcane"?

Question 2 (i) Write True or False. Give reasons for your answers. (i) Line segment joining the centre to any point on the circle is a radius of the circle

Use the Venn diagram to find A∪B.

Two triangles have equal area of 24cm2 and stand on the same base of 6 cm, if the distance PQ (on base) between their altitudes is equal to the length of one of the altitude. Then the area of quadrilateral formed by the altitudes and the base PQ is equal to:

8,00,000÷100=

If the probability of a quadrilateral being a square is 0.4 then the probability of the quadrilateral not being a square is ___.

E and F are the midpoints of the sides AB and AC respectively of ΔABC; G and H are the midpoints of sides AE and AF respectively of the ΔAEF. If GH=1.8 cm, find BC.

A dice is thrown. If it shows n, n different balls are drawn from a box containing 6 balls of different colors. How many elements are there in the sample space, if the outcomes considered are the number of different color combination possible? ___

Find the area of a regular hexagon with side length 4 cm.

If (x2-y2) =18 and (x-y) =3, find the value of 16x2y2

In triangle ABC; ∠ A = 600, ∠ C = 400 and bisector of angle ABC meets side AC at point P. Show that BP= CP.

Three circles with centres A, B and C touch each other externally. If, AB = 5cm, BC = 7 cm and CA = 6 cm. Find the sum of radii of the circles in cm. ___

negative of a number is called

It is known that if a+b =8 then a+b+r.The Euclid axiom that illustrates this statement is a.1st axiom b. 2nd axiom c. 3rd axiom d. 4th axiom THIS QUESTION FORM THE CHAPTER INTRODUCTION TO ECULIDS GEOMETRY

If log a + log b = log c then a = _______ .

The mean of 8 observations is 40. If 5 is added to each observation,then find the value of the new mean.

Question 8 XY is a line parallel to side BC of a triangle ABC. If BE || AC and CF || AB meet XY at E and F respectively, show that ar(ΔABE)=ar(ΔACF).

Who is considered as the father of economics?

Distance of point A from the given line CD is ___

In the adjoining figure, if PQ || RS, ∠PAB = 45o and ∠ACS = 135o, the value of p and q

The x and y intercepts of the line x + y = 3 are:

Where notations have usual meanings, the quadrilateral in the figure

If 13x - 2y + 34 = 19 - 2y is represented in the form of ax + by + c = 0, then what is the value of b?

What is the difference between the ordinates of the points (−2, 3) and (5, 8)?

The second degree factors of x4 – 5x2 - 24 are

Two equilateral triangles are congruent when:

If N is the sum of first 13986 prime numbers, then N is always divisible by:

The expansion of (x+y)3 is

Find the value of 223×216.

Question 7 From a point on the ground, the angles of elevation of the bottom and the top of a transmission tower fixed at the top of a 20 m high building are 45∘ and 60∘ respectively. Find the height of the tower.

Show that four points (0, – 1), (6, 7), (–2, 3) and (8, 3) are the vertices of a rectangle. Also, find its area. [3 MARKS]

If the area of a triangle is 6√6 cm2 and its two sides are 5 cm and 6 cm. Find the perimeter of the triangle.

In the figure, ∠PQR = 90o, PS = RS, QP = 12 cm and QS = 6.5 cm. The area of ∆PQR is

In the adjoining figure, AB and AC are two equal chords of a circle with centre O. Show that O lies on the bisector of ∠BAC. [3 MARKS]

Question 4 The paint in a certain container is sufficient to paint an area equal to 9.375 m2. How many bricks of dimensions 22.5 cm×10 cm×7.5 cm can be painted out of this container?

Question 8 (i) A dome of a building is in the form of a hemisphere. From inside, it was whitewashed at the cost of ₹ 498.96. If the cost of whitewashing is ₹ 2 per square meter, find: (i) the inside surface area of the dome, [Assume π=227]

The accommodation in an apartment costs ₹ 42 lakh. After 6 months, there was a 10% price hike, the new cost is:

The area of figure 1 (in cm2) and area of figure 2 (in cm2) are and respectively.

p(0), p(1) and p(2) for each of the following polynomials: (1.) p(x)=x3