24740 + Interview Questions in Mathematics

1.	The missing figure in the expression (5p +...)2 = ....+ 40 pq + 16 q2 are:
Answer» The missing figure in the expression (5p +...)² = ....+ 40 pq + 16 q² are:

1.

The missing figure in the expression (5p +...)2 = ....+ 40 pq + 16 q2 are:

Answer»

The missing figure in the expression

(5p +...)² = ....+ 40 pq + 16 q² are:

2.	If cot 3x=sin 45∘cos 45∘+cos 60∘ and 0<x≤90∘ , then x= __________________
Answer» If $c o t 3 x = s i n 45^{\circ} c o s 45^{\circ} + c o s 60^{\circ}$ and $0 < x \leq 90^{\circ}$ , then $x$ = __________________

Discussion

3.	If I construct a quadrilateral with 3 sides and 2 included angles being 75∘ and 105∘ respectively. What is the type of quadrilateral I am constructing?
Answer» If I construct a quadrilateral with 3 sides and 2 included angles being $75^{\circ}$ and $105^{\circ}$ respectively. What is the type of quadrilateral I am constructing?

Discussion

4.	In a question where I have a value, sin theta = √-5/2 . As this will be negative so the answer will be = -√-5/2. How does -√-5/2 simplify further? Do the 2 negatives become a positive?
Answer» In a question where I have a value, sin theta = √-5/2 . As this will be negative so the answer will be = -√-5/2. How does -√-5/2 simplify further? Do the 2 negatives become a positive?

4.

In a question where I have a value, sin theta = √-5/2 . As this will be negative so the answer will be = -√-5/2. How does -√-5/2 simplify further? Do the 2 negatives become a positive?

Answer»

In a question where I have a value, sin theta = √-5/2 . As this will be negative so the answer will be = -√-5/2.

How does -√-5/2 simplify further? Do the 2 negatives become a positive?

Discussion

5.	What is the probability of an event that Monday is the first day of a week? How?
Answer» What is the probability of an event that Monday is the first day of a week? How?

Discussion

6.	An exterior angle of a triangle is 80o and two interior opposite angles are equal. Measure of each of these angle is:
Answer» An exterior angle of a triangle is 80^o and two interior opposite angles are equal. Measure of each of these angle is:

Discussion

7.	The mode of the following data 125, 175, 225, 125, 225, 175, 325, 125, 375, 225, 125 will be
Answer» The mode of the following data 125, 175, 225, 125, 225, 175, 325, 125, 375, 225, 125 will be

Discussion

8.	Zero of the polynomial p(x) where p(x)=ax,a≠0 is :
Answer» Zero of the polynomial $p (x)$ where $p (x) = a x, a \neq 0$ is :

Discussion

9.	In the figure, O is the center of the circle. If ∠ACB = 30o then ∠ABC equal to :
Answer» In the figure, O is the center of the circle. If ∠ACB = 30^othen ∠ABC equal to:

9.

In the figure, O is the center of the circle. If ∠ACB = 30o then ∠ABC equal to :

Answer»

In the figure, O is the center of the circle. If ∠ACB = 30^othen ∠ABC equal to:

Discussion

10.	How many zeroes does a constant polynomial has?
Answer» How many zeroes does a constant polynomial has?

Discussion

11.	Find the remainder when P(x) = x2 – 2x is divided by x
Answer» Find the remainder when P(x) = x² – 2x is divided by x

Discussion

12.	FOR WHAT VALUE P IS x=2 and y=3 IS A SLOUTION OF (p+1)-(2p+3) -1=0 a) write the equation b)how many eqautions are possible?
Answer» FOR WHAT VALUE P IS x=2 and y=3 IS A SLOUTION OF (p+1)-(2p+3) -1=0 a) write the equation b)how many eqautions are possible?

Discussion

13.	If $f : R \rightarrow R$ be a mapping defined by f(x)=x3+5, then f−1x is equal to
Answer» If $f : R \rightarrow R$ be a mapping defined by $f (x) = x^{3} + 5$ , then $f^{- 1} x$ is equal to

Discussion

14.	Simplify the ratio √36:√9
Answer» Simplify the ratio $\sqrt{36} : \sqrt{9}$

Discussion

15.	What is the perimeter of the figure ACDE?
Answer» What is the perimeter of the figure ACDE?

15.

What is the perimeter of the figure ACDE?

Answer»

What is the perimeter of the figure ACDE?

Discussion

16.	Find the remainder when x51 + 51 is divided by (1) x+1 (2) x-1
Answer» Find the remainder when x⁵¹+ 51 is divided by (1) x+1 (2) x-1

Discussion

17.	In the given figure, ABCD is a parallelogram in which ∠BDC=45∘ and ∠BAD=75∘. Then, ∠CBD= ? (a) 45∘ (b) 55∘ (c) 60∘ (d) 75∘
Answer» In the given figure, ABCD is a parallelogram in which $∠ B D C = 45^{\circ} a n d ∠ B A D = 75^{\circ}$ . Then, $∠ C B D =$ ? (a) $45^{\circ}$ (b) $55^{\circ}$ (c) $60^{\circ}$ (d) $75^{\circ}$

17.

In the given figure, ABCD is a parallelogram in which ∠BDC=45∘ and ∠BAD=75∘. Then, ∠CBD= ? (a) 45∘ (b) 55∘ (c) 60∘ (d) 75∘

Answer»

In the given figure, ABCD is a parallelogram in which $∠ B D C = 45^{\circ} a n d ∠ B A D = 75^{\circ}$ . Then, $∠ C B D =$ ?

(a) $45^{\circ}$

(b) $55^{\circ}$

(c) $60^{\circ}$

(d) $75^{\circ}$

Discussion

18.	Prove that a cyclic parallelogram is a rectangle.
Answer» Prove that a cyclic parallelogram is a rectangle.

Discussion

19.	Which one of the following statements is/are true?
Answer» Which one of the following statements is/are true?

Discussion

20.	Utkarsh's house rent for 3 months is Rs. 7500. How much does he pay annually?
Answer» Utkarsh's house rent for 3 months is Rs. 7500. How much does he pay annually?

Discussion

21.	What least number must be added to each of the numbers 6, 15, 20 and 43 to make them proportional.
Answer» What least number must be added to each of the numbers 6, 15, 20 and 43 to make them proportional.

Discussion

22.	If a set A has n elements, then the total number of subsets of A is
Answer» If a set A has n elements, then the total number of subsets of A is

Discussion

23.	The sum of 0.¯¯¯3 and 0.¯¯¯4 is (a)710 (b)79 (c)711 (d)799
Answer» The sum of 0. $¯ ¯ ¯ 3$ and $0. ¯ ¯ ¯ 4$ is (a) $\frac{7}{10}$ (b) $\frac{7}{9}$ (c) $\frac{7}{11}$ (d) $\frac{7}{99}$

23.

The sum of 0.¯¯¯3 and 0.¯¯¯4 is (a)710 (b)79 (c)711 (d)799

Answer»

The sum of 0. $¯ ¯ ¯ 3$ and $0. ¯ ¯ ¯ 4$ is

(a) $\frac{7}{10}$

(b) $\frac{7}{9}$

(c) $\frac{7}{11}$

(d) $\frac{7}{99}$

Discussion

24.	In a ΔABC, ∠B=90o,AB=12 cm and BC=5cm. Find the value of cosec C and sec A.
Answer» In a $Δ A B C, ∠ B = 90^{o}, A B = 12 c m$ and $B C = 5 c m .$ Find the value of $c o s e c C$ and $s e c A$ .

Discussion

25.	Draw the graph of the equation, 2x - 3y = 5. From your graph, find (i) the value of y when x = 4 and (ii) the value of x when y = 3.
Answer» Draw the graph of the equation, 2x - 3y = 5. From your graph, find (i) the value of y when x = 4 and (ii) the value of x when y = 3.

25.

Draw the graph of the equation, 2x - 3y = 5. From your graph, find (i) the value of y when x = 4 and (ii) the value of x when y = 3.

Answer»

Draw the graph of the equation, 2x - 3y = 5.

From your graph, find (i) the value of y when x = 4 and (ii) the value of x when y = 3.

Discussion

26.	In the given figure, AOB is a straight line. If ∠AOC=(3x−10)∘, \angle COD = 50^{\circ}\) and ∠BOD=(x+20)∘ then ∠AOC=? (a) 40∘ (b) 60∘ (c) 80∘ (d) 50∘
Answer» In the given figure, AOB is a straight line. If $∠ A O C = (3 x - 10)^{\circ}$ , \angle COD = 50^{\circ}\) and $∠ B O D = (x + 20)^{\circ}$ then $∠ A O C = ?$ (a) $40^{\circ}$ (b) $60^{\circ}$ (c) $80^{\circ}$ (d) $50^{\circ}$

26.

In the given figure, AOB is a straight line. If ∠AOC=(3x−10)∘, \angle COD = 50^{\circ}\) and ∠BOD=(x+20)∘ then ∠AOC=? (a) 40∘ (b) 60∘ (c) 80∘ (d) 50∘

Answer»

In the given figure, AOB is a straight line. If $∠ A O C = (3 x - 10)^{\circ}$ , \angle COD = 50^{\circ}\) and $∠ B O D = (x + 20)^{\circ}$ then $∠ A O C = ?$

(a) $40^{\circ}$

(b) $60^{\circ}$

(c) $80^{\circ}$

(d) $50^{\circ}$

Discussion

27.	How to represent irrational number on number line?
Answer» How to represent irrational number on number line?

Discussion

28.	All the observations for a particular study were listed one by one without grouping them. What term do we use to describe such a way of presenting data? __
Answer» All the observations for a particular study were listed one by one without grouping them. What term do we use to describe such a way of presenting data? __

Discussion

29.	Which of the following can be the probability of an event?
Answer» Which of the following can be the probability of an event?

Discussion

30.	(a−b)2 + 4ab = ___________ .
Answer» ${(a - b)}^{2}$ + 4ab = ___________ .

Discussion

31.	In which quadrant will the point lie, if ordinate is 3 and abscissa is –7.
Answer» In which quadrant will the point lie, if ordinate is 3 and abscissa is –7.

Discussion

32.	Find the area under the frequency polygon formed using the following data Cost of living indexNumber of weeks140−1505150−16010160−17020170−1809180−1906190−2002
Answer» Find the area under the frequency polygon formed using the following data $\begin{matrix} C o s t o f l i v i n g i n d e x & N u m b e r o f w e e k s 140 - 150 & 5 150 - 160 & 10 160 - 170 & 20 170 - 180 & 9 180 - 190 & 6 190 - 200 & 2 \end{matrix}$

32.

Find the area under the frequency polygon formed using the following data Cost of living indexNumber of weeks140−1505150−16010160−17020170−1809180−1906190−2002

Answer»

Find the area under the frequency polygon formed using the following data

$\begin{matrix} C o s t o f l i v i n g i n d e x & N u m b e r o f w e e k s 140 - 150 & 5 150 - 160 & 10 160 - 170 & 20 170 - 180 & 9 180 - 190 & 6 190 - 200 & 2 \end{matrix}$

Discussion

33.	Which of the following could possibly be not the sides of a triangle
Answer» Which of the following could possibly be not the sides of a triangle

Discussion

34.	Prove that (i)(sin2 A cos2 B−cos2 A sin2 B)=(sin2 A−sin2 B) (ii)(tan2 A sec2 B−sec2 A tan2 B)=(tan2 A−tan2 B) [2 MARKS]
Answer» Prove that $(i) (s i n^{2} A c o s^{2} B - c o s^{2} A s i n^{2} B) = (s i n^{2} A - s i n^{2} B)$ $(i i) (t a n^{2} A s e c^{2} B - s e c^{2} A t a n^{2} B) = (t a n^{2} A - t a n^{2} B)$ [2 MARKS]

Discussion

35.	What are the set of odd numbers on a die?
Answer» What are the set of odd numbers on a die?

Discussion

36.	Question 3 (i) On comparing the ratios a1a2, b1b2 and c1c2 find out whether the following pair of linear equations are consistent, or inconsistent. 3x + 2y = 5 ; 2x - 3y = 7
Answer» Question 3 (i) On comparing the ratios $\frac{a_{1}}{a_{2}}$ , $\frac{b_{1}}{b_{2}}$ and $\frac{c_{1}}{c_{2}}$ find out whether the following pair of linear equations are consistent, or inconsistent. 3x + 2y = 5 ; 2x - 3y = 7

Discussion

37.	A chord AB of a circle whose centre is O, is bisected at E by a diameter CD. OC= OD = 15 cm and OE = 9 cm. Find the length of AD.
Answer» A chord AB of a circle whose centre is O, is bisected at E by a diameter CD. OC= OD = 15 cm and OE = 9 cm. Find the length of AD.

Discussion

38.	A triangular prism has a base of an equilateral triangle of side 3.5 cm. Water is filled till the height of 10 cm in the prism. If a small ice cube of side 2 cm is put inside it, the water level rises to different height. What is the new height(in cm)?11.5
Answer» A triangular prism has a base of an equilateral triangle of side 3.5 cm. Water is filled till the height of 10 cm in the prism. If a small ice cube of side 2 cm is put inside it, the water level rises to different height. What is the new height(in cm)? 11.5

Discussion

39.	The side of a cube is 6 cm. The ratio of its surface area and volume is ___ .
Answer» The side of a cube is 6 cm. The ratio of its surface area and volume is ___ .

Discussion

40.	The base of a prism forms a right angled triangle. The triangle has base and height as 4 cm and 6 cm respectively. The height of the prism is 10 cm. The volume of the prism will be :
Answer» The base of a prism forms a right angled triangle. The triangle has base and height as 4 cm and 6 cm respectively. The height of the prism is 10 cm. The volume of the prism will be :

Discussion

41.	A uniform circular track is the area bounded by two concentric circles.If the area of track is 1144m2 and its width is 14m.Find the diameter of the two circles.
Answer» A uniform circular track is the area bounded by two concentric circles.If the area of track is 1144m² and its width is 14m.Find the diameter of the two circles.

Discussion

42.	In the following figure, EDCB is a parallelogram. If ED = 10 cm, BG = 8 cm, then find the area of ΔCDF.
Answer» In the following figure, EDCB is a parallelogram. If ED = 10 cm, BG = 8 cm, then find the area of $Δ C D F$ .

Discussion

43.	If log ab−c=log bc−a=log ca−b, then find the value of aa.bb.cc1
Answer» If $\frac{l o g a}{b - c} = \frac{l o g b}{c - a} = \frac{l o g c}{a - b}$ , then find the value of $a^{a} . b^{b} . c^{c}$ 1

Discussion

44.	Simplify (−3)3×(−3)73×96
Answer» Simplify $\frac{(- 3)^{3} \times (- 3)^{7}}{3 \times 9^{6}}$

Discussion

45.	Write the values of a, b and c for the equation when written in the standard form where ax+by+c=0: y=0.5x+√7.
Answer» Write the values of a, b and c for the equation when written in the standard form where $a x + b y + c = 0 :$ $y = 0.5 x + \sqrt{7} .$

Discussion

46.	In the triangles PQR and NLM, angle M will be
Answer» In the triangles PQR and NLM, angle M will be

Discussion

47.	In the given figure, LM\|\|RN and LN\|\|RQ, where L, M, and N are points on ΔPQR. PQ = 25 cm and MN = 4 cm. The value of PM:NQ is either
Answer» In the given figure, LM\|\|RN and LN\|\|RQ, where L, M, and N are points on ΔPQR. PQ = 25 cm and MN = 4 cm. The value of PM:NQ is either

47.

In the given figure, LM||RN and LN||RQ, where L, M, and N are points on ΔPQR. PQ = 25 cm and MN = 4 cm. The value of PM:NQ is either

Answer»

In the given figure, LM||RN and LN||RQ, where L, M, and N are points on ΔPQR. PQ = 25 cm and MN = 4 cm.

The value of PM:NQ is either

Discussion

48.	A metallic pipe is 0.7 cm thick . Inner radius of the pipe is 3.5 cm and the length is 5 dm . Find the total surface area
Answer» A metallic pipe is 0.7 cm thick . Inner radius of the pipe is 3.5 cm and the length is 5 dm . Find the total surface area

Discussion

49.	In the figure, AB ║ CD. If ∠2 = (2x + 30)o, ∠4 = ( x + 2y)o and ∠6 = (3y+10)o the measure of ∠5 is
Answer» In the figure, AB ║ CD. If ∠2 = (2x + 30)^o, ∠4 = ( x + 2y)^oand ∠6 = (3y+10)^o the measure of ∠5 is

49.

In the figure, AB ║ CD. If ∠2 = (2x + 30)o, ∠4 = ( x + 2y)o and ∠6 = (3y+10)o the measure of ∠5 is

Answer»

In the figure, AB ║ CD. If ∠2 = (2x + 30)^o, ∠4 = ( x + 2y)^oand ∠6 = (3y+10)^o the measure of ∠5 is

Discussion

50.	In a circle, two parallel chords of lengths 4 cm and 6 cm are 5 cm apart. Then the radius of the circle is
Answer» In a circle, two parallel chords of lengths 4 cm and 6 cm are 5 cm apart. Then the radius of the circle is

Discussion

13.	If \(f : R \rightarrow R\) be a mapping defined by f(x)=x3+5, then f−1x is equal to
Answer» If \(f : R \rightarrow R\) be a mapping defined by $f (x) = x^{3} + 5$ , then $f^{- 1} x$ is equal to

Explore topic-wise InterviewSolutions in Current Affairs.

The missing figure in the expression (5p +...)2 = ....+ 40 pq + 16 q2 are:

If cot 3x=sin 45∘cos 45∘+cos 60∘ and 0&lt;x≤90∘ , then x= __________________

If I construct a quadrilateral with 3 sides and 2 included angles being 75∘ and 105∘ respectively. What is the type of quadrilateral I am constructing?

In a question where I have a value, sin theta = √-5/2 . As this will be negative so the answer will be = -√-5/2. How does -√-5/2 simplify further? Do the 2 negatives become a positive?

What is the probability of an event that Monday is the first day of a week? How?

An exterior angle of a triangle is 80o and two interior opposite angles are equal. Measure of each of these angle is:

The mode of the following data 125, 175, 225, 125, 225, 175, 325, 125, 375, 225, 125 will be

Zero of the polynomial p(x) where p(x)=ax,a≠0 is :

In the figure, O is the center of the circle. If ∠ACB = 30o then ∠ABC equal to :

How many zeroes does a constant polynomial has?

Find the remainder when P(x) = x2 – 2x is divided by x

FOR WHAT VALUE P IS x=2 and y=3 IS A SLOUTION OF (p+1)-(2p+3) -1=0 a) write the equation b)how many eqautions are possible?

If \(f : R \rightarrow R\) be a mapping defined by f(x)=x3+5, then f−1x is equal to

Simplify the ratio √36:√9

What is the perimeter of the figure ACDE?

Find the remainder when x​​​​​​51 + 51 is divided by (1) x+1 (2) x-1

In the given figure, ABCD is a parallelogram in which ∠BDC=45∘ and ∠BAD=75∘. Then, ∠CBD= ? (a) 45∘ (b) 55∘ (c) 60∘ (d) 75∘

Prove that a cyclic parallelogram is a rectangle.

Which one of the following statements is/are true?

Utkarsh's house rent for 3 months is Rs. 7500. How much does he pay annually?

What least number must be added to each of the numbers 6, 15, 20 and 43 to make them proportional.

If a set A has n elements, then the total number of subsets of A is

The sum of 0.¯¯¯3 and 0.¯¯¯4 is (a)710 (b)79 (c)711 (d)799

In a ΔABC, ∠B=90o,AB=12 cm and BC=5cm. Find the value of cosec C and sec A.

Draw the graph of the equation, 2x - 3y = 5. From your graph, find (i) the value of y when x = 4 and (ii) the value of x when y = 3.

In the given figure, AOB is a straight line. If ∠AOC=(3x−10)∘, \angle COD = 50^{\circ}\) and ∠BOD=(x+20)∘ then ∠AOC=? (a) 40∘ (b) 60∘ (c) 80∘ (d) 50∘

How to represent irrational number on number line?

All the observations for a particular study were listed one by one without grouping them. What term do we use to describe such a way of presenting data? __

Which of the following can be the probability of an event?

(a−b)2 + 4ab = ___________ .

In which quadrant will the point lie, if ordinate is 3 and abscissa is –7.

Find the area under the frequency polygon formed using the following data Cost of living indexNumber of weeks140−1505150−16010160−17020170−1809180−1906190−2002

Which of the following could possibly be not the sides of a triangle

Prove that (i)(sin2 A cos2 B−cos2 A sin2 B)=(sin2 A−sin2 B) (ii)(tan2 A sec2 B−sec2 A tan2 B)=(tan2 A−tan2 B) [2 MARKS]

What are the set of odd numbers on a die?

Question 3 (i) On comparing the ratios a1a2, b1b2 and c1c2 find out whether the following pair of linear equations are consistent, or inconsistent. 3x + 2y = 5 ; 2x - 3y = 7

A chord AB of a circle whose centre is O, is bisected at E by a diameter CD. OC= OD = 15 cm and OE = 9 cm. Find the length of AD.

A triangular prism has a base of an equilateral triangle of side 3.5 cm. Water is filled till the height of 10 cm in the prism. If a small ice cube of side 2 cm is put inside it, the water level rises to different height. What is the new height(in cm)?11.5

The side of a cube is 6 cm. The ratio of its surface area and volume is ___ .

The base of a prism forms a right angled triangle. The triangle has base and height as 4 cm and 6 cm respectively. The height of the prism is 10 cm. The volume of the prism will be :

A uniform circular track is the area bounded by two concentric circles.If the area of track is 1144m2 and its width is 14m.Find the diameter of the two circles.

In the following figure, EDCB is a parallelogram. If ED = 10 cm, BG = 8 cm, then find the area of ΔCDF.

If log ab−c=log bc−a=log ca−b, then find the value of aa.bb.cc1

Simplify (−3)3×(−3)73×96

Write the values of a, b and c for the equation when written in the standard form where ax+by+c=0: y=0.5x+√7.

In the triangles PQR and NLM, angle M will be

In the given figure, LM||RN and LN||RQ, where L, M, and N are points on ΔPQR. PQ = 25 cm and MN = 4 cm. The value of PM:NQ is either

A metallic pipe is 0.7 cm thick . Inner radius of the pipe is 3.5 cm and the length is 5 dm . Find the total surface area

In the figure, AB ║ CD. If ∠2 = (2x + 30)o, ∠4 = ( x + 2y)o and ∠6 = (3y+10)o the measure of ∠5 is

In a circle, two parallel chords of lengths 4 cm and 6 cm are 5 cm apart. Then the radius of the circle is

If cot 3x=sin 45∘cos 45∘+cos 60∘ and 0<x≤90∘ , then x= __________________

Find the remainder when x51 + 51 is divided by (1) x+1 (2) x-1