24740 + Interview Questions in Mathematics

1.	In a parallelogram ABCD, AB = 10 cm and AD = 6 cm. The bisector of ∠A meets DC in E. AE and BC produced meet at F. The length of CF is __ cm.
Answer» In a parallelogram ABCD, AB = 10 cm and AD = 6 cm. The bisector of $∠ A$ meets DC in E. AE and BC produced meet at F. The length of CF is __ cm.

Discussion

2.	In a right angled triangle , one acute angle is double the other. Prove that hypotenuse is double the smallest side.
Answer» In a right angled triangle , one acute angle is double the other. Prove that hypotenuse is double the smallest side.

Discussion

3.	A and B are two sets such that n (A - B) =14 + x, n(B - A) = 3x and n(A ∩ B) = x. Draw a Venn diagram to illustrate information and if n(A) = n(B), then find the value of x.
Answer» A and B are two sets such that n (A - B) =14 + x, n(B - A) = 3x and n(A $\cap$ B) = x. Draw a Venn diagram to illustrate information and if n(A) = n(B), then find the value of x.

3.

A and B are two sets such that n (A - B) =14 + x, n(B - A) = 3x and n(A ∩ B) = x. Draw a Venn diagram to illustrate information and if n(A) = n(B), then find the value of x.

Answer»

A and B are two sets such that n (A - B) =14 + x, n(B - A) = 3x and n(A $\cap$ B) = x.

Draw a Venn diagram to illustrate information and if n(A) = n(B), then find the value of x.

Discussion

4.	If A (-2, 1), B(2, 3) and C(-2, -4) be the vertices of a △ ABC, show that tan B = 23
Answer» If A (-2, 1), B(2, 3) and C(-2, -4) be the vertices of a $△$ ABC, show that tan B = $\frac{2}{3}$

4.

If A (-2, 1), B(2, 3) and C(-2, -4) be the vertices of a △ ABC, show that tan B = 23

Answer»

If A (-2, 1), B(2, 3) and C(-2, -4) be the vertices of a $△$ ABC, show that tan B = $\frac{2}{3}$

Discussion

5.	In a given circle, draw and write the steps of construction - i. A regular polygon ii. A regular decagon
Answer» In a given circle, draw and write the steps of construction - i. A regular polygon ii. A regular decagon

Discussion

6.	According to the Antyodaya Anna Yojana programme, at what rate is wheat given to poor people?
Answer» According to the Antyodaya Anna Yojana programme, at what rate is wheat given to poor people?

Discussion

7.	The mean weight of 70 Students in a class is 60 kgs. The mean weight of boys is 70 kgs while that of girls is 50 kgs. Find the number of boys in the class.
Answer» The mean weight of 70 Students in a class is 60 kgs. The mean weight of boys is 70 kgs while that of girls is 50 kgs. Find the number of boys in the class.

7.

The mean weight of 70 Students in a class is 60 kgs. The mean weight of boys is 70 kgs while that of girls is 50 kgs. Find the number of boys in the class.

Answer»

The mean weight of 70 Students in a class is 60 kgs. The mean weight of boys is 70 kgs while that of girls is 50 kgs.

Find the number of boys in the class.

Discussion

8.	What's the difference between remainder theorem and factor theorem?
Answer» What's the difference between remainder theorem and factor theorem?

Discussion

9.	Solve the following pairs of linear equations using the method of elimination by substitution 1) .2x-3y+6=0. 2x+3y-18=0
Answer» Solve the following pairs of linear equations using the method of elimination by substitution 1) .2x-3y+6=0. 2x+3y-18=0

9.

Solve the following pairs of linear equations using the method of elimination by substitution 1) .2x-3y+6=0. 2x+3y-18=0

Answer»

Solve the following pairs of linear equations using the method of elimination by substitution

1) .2x-3y+6=0. 2x+3y-18=0

Discussion

10.	If area of parallelogram ABCD is 25 cm2 and on the same base CD, a triangle BCD is given such that area BCD = x cm2, then value of x is
Answer» If area of parallelogram ABCD is 25 cm² and on the same base CD, a triangle BCD is given such that area BCD = x cm², then value of x is

Discussion

11.	Evaluate 2.66666666...+0.999999999....=0.232323....
Answer» Evaluate 2.66666666...+0.999999999....=0.232323....

Discussion

12.	Question 89 State whether the statement is True or False. Product of three negative integers is a negative integer.
Answer» Question 89 State whether the statement is True or False. Product of three negative integers is a negative integer.

12.

Question 89 State whether the statement is True or False. Product of three negative integers is a negative integer.

Answer»

Question 89

State whether the statement is True or False.

Product of three negative integers is a negative integer.

Discussion

13.	The remainder when x3 + x2 – 2x + 1 is divided by (x + 1) is
Answer» The remainder when x³ + x² – 2x + 1 is divided by (x + 1) is

Discussion

14.	A tower subtends an angle of 30∘ at a point on the same level as its foot. At a second point 'h' meters above the first point, the angle of depression to the foot of the first tower is 60∘. The height of the tower is:
Answer» A tower subtends an angle of $30^{\circ}$ at a point on the same level as its foot. At a second point 'h' meters above the first point, the angle of depression to the foot of the first tower is $60^{\circ}$ . The height of the tower is:

Discussion

15.	In the given figure, if x = y and AB = CB, then AE is _____.
Answer» In the given figure, if x = y and AB = CB, then AE is _____.

Discussion

16.	Write the class size in each of the following: (i) 0-4, 5-9, 10-14 (ii) 10-19 - 20-29, 30-39 (iii) 100 - 120, 120-140, 160-180 (iv) 0-0.25, 0.25-0.50, 0.50-075 (v) 5-5.01, 5.01-5.02, 5.02-5.03
Answer» Write the class size in each of the following: (i) 0-4, 5-9, 10-14 (ii) 10-19 - 20-29, 30-39 (iii) 100 - 120, 120-140, 160-180 (iv) 0-0.25, 0.25-0.50, 0.50-075 (v) 5-5.01, 5.01-5.02, 5.02-5.03

Discussion

17.	Three unbiased coins are tossed together, then which of the following is true?
Answer» Three unbiased coins are tossed together, then which of the following is true?

Discussion

18.	Prove that the perpendicular bisectors of the sides of a cycle quadrilateral are concurrent.
Answer» Prove that the perpendicular bisectors of the sides of a cycle quadrilateral are concurrent.

Discussion

19.	Question 9 The side AB of a parallelogram ABCD is produced to any point P. A line through A and parallel to CP meets CB produced at Q and then parallelogram PBQR is completed. (see the following figure). Show that ar(ABCD) = ar(PBQR).
Answer» Question 9 The side AB of a parallelogram ABCD is produced to any point P. A line through A and parallel to CP meets CB produced at Q and then parallelogram PBQR is completed. (see the following figure). Show that ar(ABCD) = ar(PBQR).

Discussion

20.	The equation of the line shown in the graph is.
Answer» The equation of the line shown in the graph is.

Discussion

21.	In a circle with centre O. Chords PQ and RS intersect at right angles at point A inside the circle. Prove that PQ2 + RS2 = 4[2PO2 - OA2] .
Answer» In a circle with centre O. Chords PQ and RS intersect at right angles at point A inside the circle. Prove that PQ2 + RS2 = 4[2PO2 - OA2] .

Discussion

22.	The region occupied by a simple closed figure in a plane is called. What ?
Answer» The region occupied by a simple closed figure in a plane is called. What ?

Discussion

23.	Question 3(iii) Simplify: (t+s2)(t2−s)
Answer» Question 3(iii) Simplify: $(t + s^{2}) (t^{2} - s)$

Discussion

24.	Find the area of a parallelogram given in the figure. Also, find the length of the altitude from vertex A on the side DC.
Answer» Find the area of a parallelogram given in the figure. Also, find the length of the altitude from vertex A on the side DC.

Discussion

25.	For what value of x will the lines l and m be parallel to each other?
Answer» For what value of x will the lines l and m be parallel to each other?

25.

For what value of x will the lines l and m be parallel to each other?

Answer»

For what value of x will the lines l and m be parallel to each other?

Discussion

26.	In the figure, AB = AC and CP \|\| BA and AP is the bisector of exterior ∠CAD of ΔABC. Prove that (i) ∠PAC=∠BCA(ii) ABCP is a parallelogram.
Answer» In the figure, AB = AC and CP \|\| BA and AP is the bisector of exterior $∠ C A D o f Δ A B C$ . Prove that (i) $∠ P A C = ∠ B C A$ (ii) ABCP is a parallelogram.

Discussion

27.	If x = 0 and x = - 1 are the roots of the polynomial f(x) = 2x3−3x2 + ax + b, find the value of a and b.
Answer» If x = 0 and x = - 1 are the roots of the polynomial f(x) = $2 x^{3} - 3 x^{2}$ + ax + b, find the value of a and b.

Discussion

28.	In the given figure, if ∠4=28∘, then ∠6=?28
Answer» In the given figure, if $∠ 4 = 28^{\circ}$ , then $∠ 6 = ?$ 28

Discussion

29.	In fig. BD \|\| CA, E is mid-point of CA and BD=12AC.Then
Answer» In fig. BD \|\| CA, E is mid-point of CA and $B D = \frac{1}{2}$ AC.Then

Discussion

30.	If A={y:y=a+12,a ϵ W and a≤5},B{y:y=2n−12,n ϵ Wand n<5} and C={−1,−12,1,32,2} then A−(B∪C)=
Answer» If $A = {y : y = \frac{a + 1}{2}, a ϵ W and a \leq 5}, B {y : y = \frac{2 n - 1}{2}, n ϵ W and n < 5} and C = {- 1, \frac{- 1}{2}, 1, \frac{3}{2}, 2}$ then $A - (B \cup C) =$

Discussion

31.	Identify the major sector in the given circle.
Answer» Identify the major sector in the given circle.

Discussion

32.	How many non-overlapping triangles can we make in an n−gon (polygon having n sides), by joining the vertices? a) n−1 b) n−2 c) n−3 d) n−4
Answer» How many non-overlapping triangles can we make in an $n -$ gon (polygon having $n$ sides), by joining the vertices? a) $n - 1$ b) $n - 2$ c) $n - 3$ d) $n - 4$

Discussion

33.	Is quadrilateral ABCD a rhombus? I. Quadrilateral ABCD is a \|\|gm. II. Diagonals AC and BD are perpendicular to each other. The correct answer is: (a)/(b)/(c)/(d).
Answer» Is quadrilateral ABCD a rhombus? I. Quadrilateral ABCD is a \|\|gm. II. Diagonals AC and BD are perpendicular to each other. The correct answer is: (a)/(b)/(c)/(d).

33.

Is quadrilateral ABCD a rhombus? I. Quadrilateral ABCD is a ||gm. II. Diagonals AC and BD are perpendicular to each other. The correct answer is: (a)/(b)/(c)/(d).

Answer»

Is quadrilateral ABCD a rhombus?

I. Quadrilateral ABCD is a ||gm.

II. Diagonals AC and BD are perpendicular to each other.

The correct answer is: (a)/(b)/(c)/(d).

Discussion

34.	Find the supplement of following angle134° 30' 26"
Answer» Find the supplement of following angle134° 30' 26"

Discussion

35.	The largest 3 digit composite number is:-
Answer» The largest 3 digit composite number is:-

Discussion

36.	From the given figure : Find the sum of x, y and z.
Answer» From the given figure : Find the sum of x, y and z.

Discussion

37.	Sir, Please answer for the below question. If both x-2 and x-1/2 are factors of pxsquare+5x+r show that p= r
Answer» Sir, Please answer for the below question. If both x-2 and x-1/2 are factors of pxsquare+5x+r show that p= r

37.

Sir, Please answer for the below question. If both x-2 and x-1/2 are factors of pxsquare+5x+r show that p= r

Answer»

Sir,

Please answer for the below question.

If both x-2 and x-1/2 are factors of pxsquare+5x+r show that p= r

Discussion

38.	ABCD is a trapezium in which AB ⃦CD and AD =BC (see the given figure). Show that (i) ∠A = ∠B (ii) ∠C=∠D (iii) △ABC ≅△BAD (iv) Diagonal AC=diagonal BD [Hint: Extend AB and draw a line through C parallel to DA intersecting AB produced at E.]
Answer» ABCD is a trapezium in which AB ⃦CD and AD =BC (see the given figure). Show that (i) ∠A = ∠B (ii) ∠C=∠D (iii) △ABC ≅△BAD (iv) Diagonal AC=diagonal BD [Hint: Extend AB and draw a line through C parallel to DA intersecting AB produced at E.]

Discussion

39.	64a3_27b3_144a2b+108ab2 Is question
Answer» 64a³_27b³_144a²b+108ab² Is question

39.

64a3_27b3_144a2b+108ab2 Is question

Answer»

64a³_27b³_144a²b+108ab²

Is question

Discussion

40.	A dice is thrown, what is the probability that the number appearing on it is divisible by 2 or 3?
Answer» A dice is thrown, what is the probability that the number appearing on it is divisible by 2 or 3?

Discussion

41.	Question 6 (ii) Give one example of a situation in which (ii) The mean is not an appropriate measure of central tendency but the median is an appropriate measure of central tendency.
Answer» Question 6 (ii) Give one example of a situation in which (ii) The mean is not an appropriate measure of central tendency but the median is an appropriate measure of central tendency.

Discussion

42.	In parallelogram ABCD, AL ⊥ CD and CM ⊥ AD. If AL=20cm , CD=12 cm, CM=8cm, then perimeter of the parallelogram is
Answer» In parallelogram ABCD, AL ⊥ CD and CM ⊥ AD. If AL=20cm , CD=12 cm, CM=8cm, then perimeter of the parallelogram is

42.

In parallelogram ABCD, AL ⊥ CD and CM ⊥ AD. If AL=20cm , CD=12 cm, CM=8cm, then perimeter of the parallelogram is

Answer»

In parallelogram ABCD, AL ⊥ CD and CM ⊥ AD. If AL=20cm , CD=12 cm, CM=8cm, then perimeter of the parallelogram is

Discussion

43.	Question 9 (ii) 100 surnames were randomly picked up from a local telephone directory and a frequency distribution of the number of letters in the English alphabet in the surnames was found as follows: Number of lettersNumber of surnames1−464−6306−8448−121612−204 (ii) Write the class interval in which the maximum number of surname lie.
Answer» Question 9 (ii) 100 surnames were randomly picked up from a local telephone directory and a frequency distribution of the number of letters in the English alphabet in the surnames was found as follows: $\begin{matrix} N u m b e r o f l e t t e r s & N u m b e r o f s u r n a m e s 1 - 4 & 6 4 - 6 & 30 6 - 8 & 44 8 - 12 & 16 12 - 20 & 4 \end{matrix}$ (ii) Write the class interval in which the maximum number of surname lie.

Discussion

44.	Which of the following can be the length of BC required to construct the triangle ABC such that AC = 6.7 cm and AB = 5.3 cm?
Answer» Which of the following can be the length of BC required to construct the triangle ABC such that AC = 6.7 cm and AB = 5.3 cm?

Discussion

45.	The magnitude of measure of a planar region is called its.
Answer» The magnitude of measure of a planar region is called its.

Discussion

46.	Question 1 (vi) Solve the following pair of linear equations by the substitution method. 3x2−5y3=−2;x3+y2=136
Answer» Question 1 (vi) Solve the following pair of linear equations by the substitution method. $\frac{3 x}{2} - \frac{5 y}{3} = - 2; \frac{x}{3} + \frac{y}{2} = \frac{13}{6}$

Discussion

47.	Construct a tangent to a circle of radius 4 cm from a point on the concentric circle of radius 6 cm and measure its length. Also verify the measurement by actual calculation.
Answer» Construct a tangent to a circle of radius 4 cm from a point on the concentric circle of radius 6 cm and measure its length. Also verify the measurement by actual calculation.

Discussion

48.	There is a regular octagonal park. The surface area of the park is ___ (in m2 )
Answer» There is a regular octagonal park. The surface area of the park is ___ (in $m^{2}$ )

48.

There is a regular octagonal park. The surface area of the park is ___ (in m2 )

Answer»

There is a regular octagonal park. The surface area of the park is ___ (in $m^{2}$ )

Discussion

49.	When we divide x2+2x+9 by x+1 we get the remainder as ____ .8
Answer» When we divide $x^{2} + 2 x + 9$ by $x + 1$ we get the remainder as ____ . 8

Discussion

50.	A chord 8cm long is at a distance of 3cm from the centre of a circle. Its radius is
Answer» A chord 8cm long is at a distance of 3cm from the centre of a circle. Its radius is

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

In a parallelogram ABCD, AB = 10 cm and AD = 6 cm. The bisector of ∠A meets DC in E. AE and BC produced meet at F. The length of CF is __ cm.

In a right angled triangle , one acute angle is double the other. Prove that hypotenuse is double the smallest side.

A and B are two sets such that n (A - B) =14 + x, n(B - A) = 3x and n(A ∩ B) = x. Draw a Venn diagram to illustrate information and if n(A) = n(B), then find the value of x.

If A (-2, 1), B(2, 3) and C(-2, -4) be the vertices of a △ ABC, show that tan B = 23

In a given circle, draw and write the steps of construction - i. A regular polygon ii. A regular decagon

According to the Antyodaya Anna Yojana programme, at what rate is wheat given to poor people?

The mean weight of 70 Students in a class is 60 kgs. The mean weight of boys is 70 kgs while that of girls is 50 kgs. Find the number of boys in the class.

What's the difference between remainder theorem and factor theorem?

Solve the following pairs of linear equations using the method of elimination by substitution 1) .2x-3y+6=0. 2x+3y-18=0

If area of parallelogram ABCD is 25 cm2 and on the same base CD, a triangle BCD is given such that area BCD = x cm2, then value of x is

Evaluate 2.66666666...+0.999999999....=0.232323....

Question 89 State whether the statement is True or False. Product of three negative integers is a negative integer.

The remainder when x3 + x2 – 2x + 1 is divided by (x + 1) is

A tower subtends an angle of 30∘ at a point on the same level as its foot. At a second point 'h' meters above the first point, the angle of depression to the foot of the first tower is 60∘. The height of the tower is:

In the given figure, if x = y and AB = CB, then AE is _____.

Write the class size in each of the following: (i) 0-4, 5-9, 10-14 (ii) 10-19 - 20-29, 30-39 (iii) 100 - 120, 120-140, 160-180 (iv) 0-0.25, 0.25-0.50, 0.50-075 (v) 5-5.01, 5.01-5.02, 5.02-5.03

Three unbiased coins are tossed together, then which of the following is true?

Prove that the perpendicular bisectors of the sides of a cycle quadrilateral are concurrent.

Question 9 The side AB of a parallelogram ABCD is produced to any point P. A line through A and parallel to CP meets CB produced at Q and then parallelogram PBQR is completed. (see the following figure). Show that ar(ABCD) = ar(PBQR).

The equation of the line shown in the graph is.

In a circle with centre O. Chords PQ and RS intersect at right angles at point A inside the circle. Prove that ​​​​​​PQ2 + RS2 = 4[2PO2 - OA2] .

The region occupied by a simple closed figure in a plane is called. What ?

Question 3(iii) Simplify: (t+s2)(t2−s)

Find the area of a parallelogram given in the figure. Also, find the length of the altitude from vertex A on the side DC.

For what value of x will the lines l and m be parallel to each other?

In the figure, AB = AC and CP || BA and AP is the bisector of exterior ∠CAD of ΔABC. Prove that (i) ∠PAC=∠BCA(ii) ABCP is a parallelogram.

If x = 0 and x = - 1 are the roots of the polynomial f(x) = 2x3−3x2 + ax + b, find the value of a and b.

In the given figure, if ∠4=28∘, then ∠6=?28

In fig. BD || CA, E is mid-point of CA and BD=12AC.Then

If A={y:y=a+12,a ϵ W and a≤5},B{y:y=2n−12,n ϵ Wand n&lt;5} and C={−1,−12,1,32,2} then A−(B∪C)=

Identify the major sector in the given circle.

How many non-overlapping triangles can we make in an n−gon (polygon having n sides), by joining the vertices? a) n−1 b) n−2 c) n−3 d) n−4

Is quadrilateral ABCD a rhombus? I. Quadrilateral ABCD is a ||gm. II. Diagonals AC and BD are perpendicular to each other. The correct answer is: (a)/(b)/(c)/(d).

Find the supplement of following angle134° 30' 26"

The largest 3 digit composite number is:-

From the given figure : Find the sum of x, y and z.

Sir, Please answer for the below question. If both x-2 and x-1/2 are factors of pxsquare+5x+r show that p= r

ABCD is a trapezium in which AB ⃦CD and AD =BC (see the given figure). Show that (i) ∠A = ∠B (ii) ∠C=∠D (iii) △ABC ≅△BAD (iv) Diagonal AC=diagonal BD [Hint: Extend AB and draw a line through C parallel to DA intersecting AB produced at E.]

64a3_27b3_144a2b+108ab2 Is question

A dice is thrown, what is the probability that the number appearing on it is divisible by 2 or 3?

Question 6 (ii) Give one example of a situation in which (ii) The mean is not an appropriate measure of central tendency but the median is an appropriate measure of central tendency.

In parallelogram ABCD, AL ⊥ CD and CM ⊥ AD. If AL=20cm , CD=12 cm, CM=8cm, then perimeter of the parallelogram is

Which of the following can be the length of BC required to construct the triangle ABC such that AC = 6.7 cm and AB = 5.3 cm?

The magnitude of measure of a planar region is called its.

Question 1 (vi) Solve the following pair of linear equations by the substitution method. 3x2−5y3=−2;x3+y2=136

Construct a tangent to a circle of radius 4 cm from a point on the concentric circle of radius 6 cm and measure its length. Also verify the measurement by actual calculation.

There is a regular octagonal park. The surface area of the park is ___ (in m2 )

When we divide x2+2x+9 by x+1 we get the remainder as ____ .8

A chord 8cm long is at a distance of 3cm from the centre of a circle. Its radius is

In a circle with centre O. Chords PQ and RS intersect at right angles at point A inside the circle. Prove that PQ2 + RS2 = 4[2PO2 - OA2] .

If A={y:y=a+12,a ϵ W and a≤5},B{y:y=2n−12,n ϵ Wand n<5} and C={−1,−12,1,32,2} then A−(B∪C)=