24740 + Interview Questions in Mathematics

1.	An equilateral triangle has ___ lines of symmetry.
Answer» An equilateral triangle has ___ lines of symmetry.

Discussion

2.	ABCD is a trapezium in which AB parallel CD and AD =BC (see the given figure). Show that ∠A=∠B.
Answer» ABCD is a trapezium in which AB parallel CD and AD =BC (see the given figure). Show that $∠ A = ∠ B$ .

Discussion

3.	Find whether the following statement are true or false.(i) Every real number is either rational or irrational.(ii) π is an irrational number.(iii) Irrational numbers cannot be represented by points on the number line.
Answer» Find whether the following statement are true or false. (i) Every real number is either rational or irrational. (ii) $π$ is an irrational number. (iii) Irrational numbers cannot be represented by points on the number line.

Discussion

4.	Function f:{1,2,3,4,5}→{1,2,3,4,5} is said to be nasty if there do not exist distinct a,b∈{1,2,3,4,5} satisfying f(a)=b and f(b)=a. How many nasty functions are there?
Answer» Function $f : {1, 2, 3, 4, 5} \to {1, 2, 3, 4, 5}$ is said to be nasty if there do not exist distinct $a, b \in {1, 2, 3, 4, 5}$ satisfying $f (a) = b$ and $f (b) = a .$ How many nasty functions are there?

Discussion

5.	Find the coordinates of the centre of a circle which passes through the points A(1, 2), B(3, -4), and C(5, -6).
Answer» Find the coordinates of the centre of a circle which passes through the points A(1, 2), B(3, -4), and C(5, -6).

Discussion

6.	The interior angles of a polygon are in arithmetic progression. The smallest angle is 120•and the common difference is 5. Find ND the number of sides of polygon.
Answer» The interior angles of a polygon are in arithmetic progression. The smallest angle is 120^•and the common difference is 5. Find ND the number of sides of polygon.

6.

The interior angles of a polygon are in arithmetic progression. The smallest angle is 120•and the common difference is 5. Find ND the number of sides of polygon.

Answer»

The interior angles of a polygon are in arithmetic progression.

The smallest angle is 120^•and the common difference is 5.

Find ND the number of sides of polygon.

Discussion

7.	If cos 3θ=√32; 0∘<θ<20∘ , then value of θ is:
Answer» If $c o s 3 θ = \frac{\sqrt{3}}{2}$ ; $0^{\circ} < θ < 20^{\circ}$ , then value of $θ$ is:

Discussion

8.	In Δ ABC, ∠A=∠C and AB = 6 units. What is the length of BC?6
Answer» In $Δ$ ABC, $∠ A = ∠ C$ and AB = 6 units. What is the length of BC? 6

Discussion

9.	In the figures given below, prove that ΔIJK≅ΔONM.
Answer» In the figures given below, prove that $Δ I J K ≅ Δ O N M$ .

Discussion

10.	If the edge of a cube is 8 cm long, find its total surface area.
Answer» If the edge of a cube is 8 cm long, find its total surface area.

Discussion

11.	Question 50Is it possible for the same a) line segments to have two different lengths?b) angles to have two different measures?
Answer» Question 50 Is it possible for the same a) line segments to have two different lengths? b) angles to have two different measures?

Discussion

12.	The points scored by a Volleyball team in a series of matches are as follows:17, 2, 7, 27, 15, 5, 14, 8, 10, 24, 48, 10, 8, 7, 18, 28Find the median of the scores.12
Answer» The points scored by a Volleyball team in a series of matches are as follows: 17, 2, 7, 27, 15, 5, 14, 8, 10, 24, 48, 10, 8, 7, 18, 28 Find the median of the scores. 12

Discussion

13.	Question 4: Consider the given figure and answer the question: Is it closed?
Answer» Question 4: Consider the given figure and answer the question: Is it closed?

Discussion

14.	Find the reference angle for 120 degree
Answer» Find the reference angle for 120 degree

Discussion

15.	ABCD is a rectangle. If OB = x + 2 and AC = 5x - 2, then find the measure of AC.
Answer» ABCD is a rectangle. If OB = x + 2 and AC = 5x - 2, then find the measure of AC.

15.

ABCD is a rectangle. If OB = x + 2 and AC = 5x - 2, then find the measure of AC.

Answer»

ABCD is a rectangle. If OB = x + 2 and AC = 5x - 2, then find the measure of AC.

Discussion

16.	Find the value of loge144.
Answer» Find the value of ${log}_{e} 144$ .

Discussion

17.	The volume of a cube whose surface area is 96 cm2, is(a) 162cm3(b) 32 cm3(c) 64 cm3(d) 216 cm3
Answer» The volume of a cube whose surface area is 96 cm², is (a) $16 \sqrt{2} c m^{3}$ (b) 32 cm³ (c) 64 cm³ (d) 216 cm³

Discussion

18.	Angles of a triangle are in the ratio 2 : 4 : 3. The smallest angle of the triangle is
Answer» Angles of a triangle are in the ratio 2 : 4 : 3. The smallest angle of the triangle is

Discussion

19.	Represent the following number on a number line:–6
Answer» Represent the following number on a number line: –6

Discussion

20.	If the harmonic mean between two positive numbers is to their geometric mean as 12:13. The numbers are in the ratio
Answer» If the harmonic mean between two positive numbers is to their geometric mean as 12:13. The numbers are in the ratio

Discussion

21.	In the given figure, AB and CD are two intersecting chords of a circle. If ∠CAB=40∘ and ∠BCD=80∘ then ∠CBD=? (a) 80∘ (b) 60∘ (c) 50∘ (d) 70∘
Answer» In the given figure, AB and CD are two intersecting chords of a circle. If $∠ C A B = 40^{\circ} a n d ∠ B C D = 80^{\circ} then ∠ C B D = ?$ (a) $80^{\circ}$ (b) $60^{\circ}$ (c) $50^{\circ}$ (d) $70^{\circ}$

21.

In the given figure, AB and CD are two intersecting chords of a circle. If ∠CAB=40∘ and ∠BCD=80∘ then ∠CBD=? (a) 80∘ (b) 60∘ (c) 50∘ (d) 70∘

Answer»

In the given figure, AB and CD are two intersecting chords of a circle. If $∠ C A B = 40^{\circ} a n d ∠ B C D = 80^{\circ} then ∠ C B D = ?$

(a) $80^{\circ}$

(b) $60^{\circ}$

(c) $50^{\circ}$

(d) $70^{\circ}$

Discussion

22.	Prove that: cotxcot2x−cot2xcot3x−cot3xcotx=1
Answer» Prove that: $cot x cot 2 x - cot 2 x cot 3 x - cot 3 x cot x = 1$

Discussion

23.	In figure, E and F are mid - points of the sides AB and AC respectively of the ΔABC. G and H are mid-points of the sides AE and AF respectively of the ΔAEF. If GH =1.8 cm, find BC.
Answer» In figure, E and F are mid - points of the sides AB and AC respectively of the $Δ A B C$ . G and H are mid-points of the sides AE and AF respectively of the $Δ A E F$ . If GH =1.8 cm, find BC.

Discussion

24.	In a right angled triangle one angle is 30andtheather angle is xand the exterior angle of the triangle is y . find the measure of x And y?
Answer» In a right angled triangle one angle is 30andtheather angle is xand the exterior angle of the triangle is y . find the measure of x And y?

Discussion

25.	If 97 and a63 are equivalent fractions, then the value of a is _____.
Answer» If $\frac{9}{7}$ and $\frac{a}{63}$ are equivalent fractions, then the value of $a$ is _____.

Discussion

26.	The value of x for which \|x−3\|+\|x−4\|=9 is
Answer» The value of x for which $\| x - 3 \| + \| x - 4 \| = 9$ is

Discussion

27.	A line passes through the point P (1, 2) such that its intercept between the axes is bisected at P. The equation of the line is(a) x + 2y = 5(b) x – y + 1 = 0(C) x + y – 3 = 0(d) 2x + 2y – 4 = 0
Answer» A line passes through the point P (1, 2) such that its intercept between the axes is bisected at P. The equation of the line is (a) x + 2y = 5 (b) x – y + 1 = 0 (C) x + y – 3 = 0 (d) 2x + 2y – 4 = 0

Discussion

28.	Question 7 Write True or False and justify your answer : ABCD is a cyclic quadrilateral such that ∠A = 90°, ∠B = 70°, ∠C = 95° and ∠D = 105°
Answer» Question 7 Write True or False and justify your answer : ABCD is a cyclic quadrilateral such that ∠A = 90°, ∠B = 70°, ∠C = 95° and ∠D = 105°

Discussion

29.	Factorize:x2-22x-30
Answer» Factorize: $x^{2} - 2 \sqrt{2} x - 30$

Discussion

30.	Given a rectangle ABCD and P, Q, R, and S are mid-points of AB, BC, CD, and DA, respectively. If the length of diagonal of a rectangle is 8 cm, find the lengths of all sides of the quadrilateral PQRS.
Answer» Given a rectangle ABCD and P, Q, R, and S are mid-points of AB, BC, CD, and DA, respectively. If the length of diagonal of a rectangle is 8 cm, find the lengths of all sides of the quadrilateral PQRS.

Discussion

31.	What is bcv
Answer» What is bcv

Discussion

32.	1^{243}+2^{243}+_ _\:_ _ _ _\:243^{243}÷2^{243} find the remainder
Answer» 1^{243}+2^{243}+_ _\:_ _ _ _\:243^{243}÷2^{243} find the remainder

Discussion

33.	15, Two exactly similar wires of steel and copper are stretched by equal forces. If the total elongation is 2 cm, then how much is the elongation in steel and copper wire respectively? Given, Ysteel-20 x 1011 dyne/cm2, Y copper (1) 1.25 cm; 0.75 cm (2) 0.75 cm; 1.25 cm - 12 x 1011 dyne/cm2 2 (3) 1.15 cm, 0.85 cm (4) 0.85 cm; 1.15 cm
Answer» 15, Two exactly similar wires of steel and copper are stretched by equal forces. If the total elongation is 2 cm, then how much is the elongation in steel and copper wire respectively? Given, Ysteel-20 x 1011 dyne/cm2, Y copper (1) 1.25 cm; 0.75 cm (2) 0.75 cm; 1.25 cm - 12 x 1011 dyne/cm2 2 (3) 1.15 cm, 0.85 cm (4) 0.85 cm; 1.15 cm

Discussion

34.	The top of a ladder of length 15 m reaches a window 9 m above the ground. What is the distance between the base of the wall and that of the ladder ?
Answer» The top of a ladder of length 15 m reaches a window 9 m above the ground. What is the distance between the base of the wall and that of the ladder ?

Discussion

35.	Solve for x if 495x=√343.
Answer» Solve for $x$ if $49^{5 x} = \sqrt{343} .$

Discussion

36.	Formulas of algebrics expression
Answer» Formulas of algebrics expression

Discussion

37.	Pick out the demonstrative pronoun from the sentence. I think this is the room allotted to us and to her.
Answer» Pick out the demonstrative pronoun from the sentence. I think this is the room allotted to us and to her.

37.

Pick out the demonstrative pronoun from the sentence. I think this is the room allotted to us and to her.

Answer»

Pick out the demonstrative pronoun from the sentence.

I think this is the room allotted to us and to her.

Discussion

38.	sin θ1+cos θis equal to(a) 1+cos θsin θ(b) 1-cos θcos θ(c) 1-cos θsin θ(d) 1-sin θcos θ
Answer» $\frac{\sin θ}{1 + \cos θ}$ is equal to (a) $\frac{1 + \cos θ}{\sin θ}$ (b) $\frac{1 - \cos θ}{\cos θ}$ (c) $\frac{1 - \cos θ}{\sin θ}$ (d) $\frac{1 - \sin θ}{\cos θ}$

Discussion

39.	What is the difference between spike and spiklet?
Answer» What is the difference between spike and spiklet?

Discussion

40.	In figure, points X, Y, Z are the midpoints of side AB, side BC and side AC of ABC respectively. AB = 5 cm, AC = 9 cm and BC = 11 cm. Find the length of XY, YZ, XZ.
Answer» In figure, points X, Y, Z are the midpoints of side AB, side BC and side AC of ABC respectively. AB = 5 cm, AC = 9 cm and BC = 11 cm. Find the length of XY, YZ, XZ.

Discussion

41.	Stephan used to spend 70% of his salary. When his salary increased by 40%, his expenses also increased by 48% of his earlier expenses. How much percentage of his salary does he save now?
Answer» Stephan used to spend 70% of his salary. When his salary increased by 40%, his expenses also increased by 48% of his earlier expenses. How much percentage of his salary does he save now?

Discussion

42.	Question 1 (ii)In the following figure (ii), DE \|\| BC. Find AD.
Answer» Question 1 (ii) In the following figure (ii), DE \|\| BC. Find AD.

Discussion

43.	The coordinates of a point on the x- axis of the form are ...........
Answer» The coordinates of a point on the x- axis of the form are ...........

Discussion

44.	In the given circle with diameter AB, find the value of x.
Answer» In the given circle with diameter AB, find the value of x.

44.

In the given circle with diameter AB, find the value of x.

Answer»

In the given circle with diameter AB, find the value of x.

Discussion

45.	In the adjoining figure,ABCD is a quadrilateral.A line through D,parallel to AC,meets BC produced in P. Prove that ar(△ABP)=ar(quad. ABCD).
Answer» In the adjoining figure,ABCD is a quadrilateral.A line through D,parallel to AC,meets BC produced in P. Prove that $a r (△ A B P) = a r (q u a d . A B C D)$ .

45.

In the adjoining figure,ABCD is a quadrilateral.A line through D,parallel to AC,meets BC produced in P. Prove that ar(△ABP)=ar(quad. ABCD).

Answer»

In the adjoining figure,ABCD is a quadrilateral.A line through D,parallel to AC,meets BC produced in P.

Prove that $a r (△ A B P) = a r (q u a d . A B C D)$ .

Discussion

46.	When p(x)=4x3+7x2–5x+t divided by x+1 gives 3 as the remainder.Find the value of t.-5
Answer» When $p (x) = 4 x^{3} + 7 x^{2} - 5 x + t$ divided by $x + 1$ gives $3$ as the remainder. Find the value of $t$ . -5

Discussion

47.	∫{(\sqrt x )}^5/{(\sqrt x )}^7+x^{}
Answer» ∫{(\sqrt x )}^5/{(\sqrt x )}^7+x^{}

Discussion

48.	Choose the correct answer in each of the following questions: The class marks of a frequency distribution are 15, 20, 25, 30, .... The class corresponding to the class mark 20 is (a) 12.5-17.5 (b) 17.5-22.5 (c) 18.5-21.5 (d) 19.5-20.5
Answer» Choose the correct answer in each of the following questions: The class marks of a frequency distribution are 15, 20, 25, 30, .... The class corresponding to the class mark 20 is (a) 12.5-17.5 (b) 17.5-22.5 (c) 18.5-21.5 (d) 19.5-20.5

Discussion

49.	Question 13If sinθ−cosθ=0, then the value of (sin4θ+cos4θ) is(A) 1(B) 34(C) 12(D) 14
Answer» Question 13 If $s i n θ - c o s θ = 0$ , then the value of $(s i n^{4} θ + c o s^{4} θ)$ is (A) $1$ (B) $\frac{3}{4}$ (C) $\frac{1}{2}$ (D) $\frac{1}{4}$

Discussion

50.	What will be effect of the following on the Accounting Equation?(i) Started business with cash ₹ 45,000(ii) Opened a Bank Account with a deposit of ₹ 4,500(iii) Bought goods from M\s. Sun & Co. for ₹ 11,200
Answer» What will be effect of the following on the Accounting Equation? (i) Started business with cash ₹ 45,000 (ii) Opened a Bank Account with a deposit of ₹ 4,500 (iii) Bought goods from M\s. Sun & Co. for ₹ 11,200

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

An equilateral triangle has ___ lines of symmetry.

ABCD is a trapezium in which AB parallel CD and AD =BC (see the given figure). Show that ∠A=∠B.

Find whether the following statement are true or false.(i) Every real number is either rational or irrational.(ii) π is an irrational number.(iii) Irrational numbers cannot be represented by points on the number line.

Function f:{1,2,3,4,5}→{1,2,3,4,5} is said to be nasty if there do not exist distinct a,b∈{1,2,3,4,5} satisfying f(a)=b and f(b)=a. How many nasty functions are there?

Find the coordinates of the centre of a circle which passes through the points A(1, 2), B(3, -4), and C(5, -6).

The interior angles of a polygon are in arithmetic progression. The smallest angle is 120•and the common difference is 5. Find ND the number of sides of polygon.

If cos 3θ=√32; 0∘&lt;θ&lt;20∘ , then value of θ is:

In Δ ABC, ∠A=∠C and AB = 6 units. What is the length of BC?6

In the figures given below, prove that ΔIJK≅ΔONM.

If the edge of a cube is 8 cm long, find its total surface area.

Question 50Is it possible for the same a) line segments to have two different lengths?b) angles to have two different measures?

The points scored by a Volleyball team in a series of matches are as follows:17, 2, 7, 27, 15, 5, 14, 8, 10, 24, 48, 10, 8, 7, 18, 28Find the median of the scores.12

Question 4: Consider the given figure and answer the question: Is it closed?

Find the reference angle for 120 degree

ABCD is a rectangle. If OB = x + 2 and AC = 5x - 2, then find the measure of AC.

Find the value of loge144.

The volume of a cube whose surface area is 96 cm2, is(a) 162cm3(b) 32 cm3(c) 64 cm3(d) 216 cm3

Angles of a triangle are in the ratio 2 : 4 : 3. The smallest angle of the triangle is

Represent the following number on a number line:–6

If the harmonic mean between two positive numbers is to their geometric mean as 12:13. The numbers are in the ratio

In the given figure, AB and CD are two intersecting chords of a circle. If ∠CAB=40∘ and ∠BCD=80∘ then ∠CBD=? (a) 80∘ (b) 60∘ (c) 50∘ (d) 70∘

Prove that: cotxcot2x−cot2xcot3x−cot3xcotx=1

In figure, E and F are mid - points of the sides AB and AC respectively of the ΔABC. G and H are mid-points of the sides AE and AF respectively of the ΔAEF. If GH =1.8 cm, find BC.

In a right angled triangle one angle is 30andtheather angle is xand the exterior angle of the triangle is y . find the measure of x And y?

If 97 and a63 are equivalent fractions, then the value of a is _____.

The value of x for which |x−3|+|x−4|=9 is

A line passes through the point P (1, 2) such that its intercept between the axes is bisected at P. The equation of the line is(a) x + 2y = 5(b) x – y + 1 = 0(C) x + y – 3 = 0(d) 2x + 2y – 4 = 0

Question 7 Write True or False and justify your answer : ABCD is a cyclic quadrilateral such that ∠A = 90°, ∠B = 70°, ∠C = 95° and ∠D = 105°

Factorize:x2-22x-30

Given a rectangle ABCD and P, Q, R, and S are mid-points of AB, BC, CD, and DA, respectively. If the length of diagonal of a rectangle is 8 cm, find the lengths of all sides of the quadrilateral PQRS.

What is bcv

1^{243}+2^{243}+_ _\:_ _ _ _\:243^{243}÷2^{243} find the remainder

The top of a ladder of length 15 m reaches a window 9 m above the ground. What is the distance between the base of the wall and that of the ladder ?

Solve for x if 495x=√343.

Formulas of algebrics expression

Pick out the demonstrative pronoun from the sentence. I think this is the room allotted to us and to her.

sin θ1+cos θis equal to(a) 1+cos θsin θ(b) 1-cos θcos θ(c) 1-cos θsin θ(d) 1-sin θcos θ

What is the difference between spike and spiklet?

In figure, points X, Y, Z are the midpoints of side AB, side BC and side AC of ABC respectively. AB = 5 cm, AC = 9 cm and BC = 11 cm. Find the length of XY, YZ, XZ.

Stephan used to spend 70% of his salary. When his salary increased by 40%, his expenses also increased by 48% of his earlier expenses. How much percentage of his salary does he save now?

Question 1 (ii)In the following figure (ii), DE || BC. Find AD.

The coordinates of a point on the x- axis of the form are ...........

In the given circle with diameter AB, find the value of x.

In the adjoining figure,ABCD is a quadrilateral.A line through D,parallel to AC,meets BC produced in P. Prove that ar(△ABP)=ar(quad. ABCD).

When p(x)=4x3+7x2–5x+t divided by x+1 gives 3 as the remainder.Find the value of t.-5

∫{(\sqrt x )}^5/{(\sqrt x )}^7+x^{}

Choose the correct answer in each of the following questions: The class marks of a frequency distribution are 15, 20, 25, 30, .... The class corresponding to the class mark 20 is (a) 12.5-17.5 (b) 17.5-22.5 (c) 18.5-21.5 (d) 19.5-20.5

Question 13If sinθ−cosθ=0, then the value of (sin4θ+cos4θ) is(A) 1(B) 34(C) 12(D) 14

What will be effect of the following on the Accounting Equation?(i) Started business with cash ₹ 45,000(ii) Opened a Bank Account with a deposit of ₹ 4,500(iii) Bought goods from M\s. Sun & Co. for ₹ 11,200

If cos 3θ=√32; 0∘<θ<20∘ , then value of θ is: