24740 + Interview Questions in Mathematics

1.	If △NVY≅△AJU and both the triangles are scalene, then which of the following is true?
Answer» If $△ N V Y ≅ △ A J U$ and both the triangles are scalene, then which of the following is true?

Discussion

2.	In the figure, arms BA and BC of ∠ABC are respectively parallel to arms ED and EF of ∠DEF. Prove that ∠ABC = ∠DEF = 1800
Answer» In the figure, arms BA and BC of $∠ A B C$ are respectively parallel to arms ED and EF of $∠ D E F$ . Prove that $∠ A B C$ = $∠ D E F$ = $180^{0}$

2.

In the figure, arms BA and BC of ∠ABC are respectively parallel to arms ED and EF of ∠DEF. Prove that ∠ABC = ∠DEF = 1800

Answer»

In the figure, arms BA and BC of $∠ A B C$ are respectively parallel to arms ED and EF of $∠ D E F$ . Prove that $∠ A B C$ = $∠ D E F$ = $180^{0}$

Discussion

3.	While plotting a graph, ___________ portion of the graph paper should be used.
Answer» While plotting a graph, ___________ portion of the graph paper should be used.

Discussion

4.	Is 1.01001000.... an irrational number ?if so why? Simplify (5+✓2) (3 + ✓5)
Answer» Is 1.01001000.... an irrational number ?if so why? Simplify (5+✓2) (3 + ✓5)

4.

Is 1.01001000.... an irrational number ?if so why? Simplify (5+✓2) (3 + ✓5)

Answer»

Is 1.01001000.... an irrational number ?if so why?

Simplify (5+✓2) (3 + ✓5)

Discussion

5.	Question 11Listed below are the temperatures in ∘C for 10 days.-6, -8, 0, 3, 2, 0, 1, 5, 4, 4What is the range of the data?(a) 8°C(b) 13°C(c) 10°C(d) 12°C
Answer» Question 11 Listed below are the temperatures in $^{\circ} C$ for 10 days. -6, -8, 0, 3, 2, 0, 1, 5, 4, 4 What is the range of the data? (a) 8°C (b) 13°C (c) 10°C (d) 12°C

5.

Question 11Listed below are the temperatures in ∘C for 10 days.-6, -8, 0, 3, 2, 0, 1, 5, 4, 4What is the range of the data?(a) 8°C(b) 13°C(c) 10°C(d) 12°C

Answer»

Question 11

Listed below are the temperatures in $^{\circ} C$ for 10 days.

-6, -8, 0, 3, 2, 0, 1, 5, 4, 4

What is the range of the data?

(a) 8°C

(b) 13°C

(c) 10°C

(d) 12°C

Discussion

6.	If P={x:x is letter in the word "PERMANENT"}, then find n(P).
Answer» If $P = {x : x i s l e t t e r i n t h e w o r d " P E R M A N E N T "}$ , then find n(P).

Discussion

7.	A man can row 40 km upstream and 55 km downstream in 13 hours. Also, he can row 30 km upstream and 44 km downstream in 10 hours. Find the speed of the man in still water and the speed of the current.
Answer» A man can row 40 km upstream and 55 km downstream in 13 hours. Also, he can row 30 km upstream and 44 km downstream in 10 hours. Find the speed of the man in still water and the speed of the current.

Discussion

8.	Rohit can row downstream 32 km in 4 hours and upstream 4km in 1 hour. Find his speed of rowing in still water and speed of the current.
Answer» Rohit can row downstream 32 km in 4 hours and upstream 4km in 1 hour. Find his speed of rowing in still water and speed of the current.

Discussion

9.	Draw the graph of the equation represented by a straight line which is parallel to the X-axis and at a distance 3 units below it.
Answer» Draw the graph of the equation represented by a straight line which is parallel to the X-axis and at a distance 3 units below it.

Discussion

10.

The following table shows the area of the land on which different crops were grown. Crop Area of land (in million hectares) Rice 50 Wheat 30 Pulse 20 Sugarcane 25 Catton 15 Prepare a pictograph by choosing a suitable symbol to represent 10 million hectares.

Answer» The following table shows the area of the land on which different crops were grown.

Crop	Area of land (in million hectares)
Rice	50
Wheat	30
Pulse	20
Sugarcane	25
Catton	15

Prepare a pictograph by choosing a suitable symbol to represent 10 million hectares.

Discussion

11.	Question 39State whether the following statement is true (T) or false (F).Two different equations can never have the same answer.
Answer» Question 39 State whether the following statement is true (T) or false (F). Two different equations can never have the same answer.

11.

Question 39State whether the following statement is true (T) or false (F).Two different equations can never have the same answer.

Answer»

Question 39

State whether the following statement is true (T) or false (F).

Two different equations can never have the same answer.

Discussion

12.	The degree of the polynomial is the ________ power of x in the polynomial f(x)?
Answer» The degree of the polynomial is the ________ power of x in the polynomial f(x)?

Discussion

13.	The solution set of the system of equations x+y−z=6,3x−2y+z=−5 and x+3y−2z=14 is (x,y,z), then x+y+z is equal to
Answer» The solution set of the system of equations $x + y - z = 6, 3 x - 2 y + z = - 5$ and $x + 3 y - 2 z = 14$ is $(x, y, z),$ then $x + y + z$ is equal to

Discussion

14.	List all the state functions and state variables?
Answer» List all the state functions and state variables?

Discussion

15.	100. What is area of triangle with integral sides has perimeter 8 units
Answer» 100. What is area of triangle with integral sides has perimeter 8 units

Discussion

16.	Find the percentage difference between the number of people in the height range 159.5 cm - 169.5 cm and 169.5 cm - 179.5 cm.
Answer» Find the percentage difference between the number of people in the height range 159.5 cm - 169.5 cm and 169.5 cm - 179.5 cm.

Discussion

17.	When simplified -127-2/3 is(a) 9(b) −9(c) 19(d) -19
Answer» When simplified ${(- \frac{1}{27})}^{- 2 / 3}$ is (a) 9 (b) −9 (c) $\frac{1}{9}$ (d) $- \frac{1}{9}$

Discussion

18.	x = 5, y = 2 is a solution of the linear equation (a) x + 2y = 7 (b) 5x + 2y = 7 (c) x + y = 7 (d) 5x + y = 7
Answer» x = 5, y = 2 is a solution of the linear equation (a) x + 2y = 7 (b) 5x + 2y = 7 (c) x + y = 7 (d) 5x + y = 7

18.

x = 5, y = 2 is a solution of the linear equation (a) x + 2y = 7 (b) 5x + 2y = 7 (c) x + y = 7 (d) 5x + y = 7

Answer»

x = 5, y = 2 is a solution of the linear equation

(a) x + 2y = 7

(b) 5x + 2y = 7

(c) x + y = 7

(d) 5x + y = 7

Discussion

19.	23 Write the equation representing y axis
Answer» 23 Write the equation representing y axis

Discussion

20.	In the above figure, what is the length of EF given that ∠DEF=90° ?
Answer» In the above figure, what is the length of EF given that $∠ D E F = 90 °$ ?

20.

In the above figure, what is the length of EF given that ∠DEF=90° ?

Answer»

In the above figure, what is the length of EF given that $∠ D E F = 90 °$ ?

Discussion

21.	If the ratio of mean and median of a certain data is 2:3 then find ratio of its mode and mean.
Answer» If the ratio of mean and median of a certain data is 2:3 then find ratio of its mode and mean.

Discussion

22.	Drawnumber lines and locate the points on them:(a) (b) (c)
Answer» Draw number lines and locate the points on them: (a) (b) (c)

22.

Drawnumber lines and locate the points on them:(a) (b) (c)

Answer»

Draw
number lines and locate the points on them:

(a) (b) (c)

Discussion

23.	If xy2=4 and log3(log2x)+log1/3(log1/2y)=1, then x equals
Answer» If $x y^{2} = 4$ and $l o g_{3} (l o g_{2} x) + l o g_{1 / 3} (l o g_{1 / 2} y) = 1$ , then x equals

Discussion

24.	If ∠ACB=40∘, then what is the value of x?
Answer» If $∠ A C B = 40^{\circ},$ then what is the value of $x$ ?

Discussion

25.	The positive numbers x and y satisfy xy = 1. Then the value of x such thatis minimum.
Answer» The positive numbers x and y satisfy xy = 1. Then the value of x such thatis minimum.

Discussion

26.	If the given figure, ABC is a right triangle right angled at A, BCED, ACFGand ABMN are squares on the sides BC, CA and AB respectively. Line segment AX ⊥ DE meets BC at Y.Show that(i) Δ MBC ≅ Δ ABD(ii) ar (BYXD) = 2 ar (Δ MBC)(iii) ar (BYXD) = ar (ABMN)(iv) Δ FCB ≅ Δ ACE(v) ar (CYXE) = 2 ar (ΔFCB)(vi) ar (CYXE) = ar (ACFG)(vii) ar (BCED) = ar (ABMN) + ar (ACFG)
Answer» If the given figure, ABC is a right triangle right angled at A, BCED, ACFGand ABMN are squares on the sides BC, CA and AB respectively. Line segment AX ⊥ DE meets BC at Y. Show that (i) Δ MBC $≅$ Δ ABD (ii) ar (BYXD) = 2 ar (Δ MBC) (iii) ar (BYXD) = ar (ABMN) (iv) Δ FCB $≅$ Δ ACE (v) ar (CYXE) = 2 ar (ΔFCB) (vi) ar (CYXE) = ar (ACFG) (vii) ar (BCED) = ar (ABMN) + ar (ACFG)

Discussion

27.	Question 1 (ii)Find the volume of a sphere whose radius is:(ii) 0.63 m[Assume π=227]
Answer» Question 1 (ii) Find the volume of a sphere whose radius is: (ii) 0.63 m $[A s s u m e π = \frac{22}{7}]$

Discussion

28.	Among the following, the terminating rational number is .
Answer» Among the following, the terminating rational number is .

Discussion

29.	In Fig, ABC is a quadrant of a circle of radius 14 cm and a semicircle is drawn with BC as diameter. Find the area of the shaded region.
Answer» In Fig, ABC is a quadrant of a circle of radius 14 cm and a semicircle is drawn with BC as diameter. Find the area of the shaded region.

Discussion

30.	23. The coordinates of the feet of the perpendicular from the vertices of triangle on the opposite sides are (20,25) (8,16) (8,9). Equations of sides and vertices is
Answer» 23. The coordinates of the feet of the perpendicular from the vertices of triangle on the opposite sides are (20,25) (8,16) (8,9). Equations of sides and vertices is

Discussion

31.	If tan2x =tan2/x then the value of x is
Answer» If tan2x =tan2/x then the value of x is

Discussion

32.	Draw a line which divides this shape into half.
Answer» Draw a line which divides this shape into half.

Discussion

33.	Prove that the four triangles got by joining the midpoints of a triangle are all congruent and that they are similar to the original triangle.
Answer» Prove that the four triangles got by joining the midpoints of a triangle are all congruent and that they are similar to the original triangle.

33.

Prove that the four triangles got by joining the midpoints of a triangle are all congruent and that they are similar to the original triangle.

Answer»

Prove that the four triangles got by joining the midpoints of a triangle are all congruent and that they are similar to the original triangle.

Discussion

34.	The equation equivalent to x = 7 is _________.
Answer» The equation equivalent to x = 7 is _________.

Discussion

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

Discussion

36.	In a ΔABC, if AB = AC and ∠B = 70°, find ∠A.
Answer» In a ΔABC, if AB = AC and ∠B = 70°, find ∠A.

Discussion

37.	In fig, if ∠ATO=40∘, find ∠AOB. [2 MARKS]
Answer» In fig, if $∠ A T O = 40^{\circ}$ , find $∠ A O B$ . [2 MARKS]

37.

In fig, if ∠ATO=40∘, find ∠AOB. [2 MARKS]

Answer»

In fig, if $∠ A T O = 40^{\circ}$ , find $∠ A O B$ . [2 MARKS]

Discussion

38.	Let n > 1 be an integer. Which of the following sets of numbers necessarily contains a multiple of 3?
Answer» Let n $>$ 1 be an integer. Which of the following sets of numbers necessarily contains a multiple of 3?

Discussion

39.	Two coins are tossed simultaneously 600 times to get 2 heads : 234 times, 1 head : 206 times, 0 head : 160 times.If two coins are tossed at random, what is the probability of getting at least one head?(a) 103300 (b) 39100(c) 1115(d) 415
Answer» Two coins are tossed simultaneously 600 times to get 2 heads : 234 times, 1 head : 206 times, 0 head : 160 times. If two coins are tossed at random, what is the probability of getting at least one head? (a) $\frac{103}{300}$ (b) $\frac{39}{100}$ (c) $\frac{11}{15}$ (d) $\frac{4}{15}$

Discussion

40.	Consider a linear programming problem with two variable and two constraints. The objective function is maximize x1+x2. The corner points of the feasible region are (0, 0), (0, 2), (2, 0) and (4/3, 4/3)Let Y1 and Y2 be the decision variables of the dual and v1 and v2 be the slack variables of the dual of the given linear programming problem. The optimum dual variables are
Answer» Consider a linear programming problem with two variable and two constraints. The objective function is maximize $x_{1} + x_{2} .$ The corner points of the feasible region are (0, 0), (0, 2), (2, 0) and (4/3, 4/3) Let $Y_{1} and Y_{2}$ be the decision variables of the dual and $v_{1} and v_{2}$ be the slack variables of the dual of the given linear programming problem. The optimum dual variables are

Discussion

41.	(√a − √b)×(√a + √b) =
Answer» $(\sqrt{a} - \sqrt{b}) \times (\sqrt{a} + \sqrt{b}) =$

Discussion

42.	Zero of polynomial Not understand
Answer» Zero of polynomial Not understand

42.

Zero of polynomial Not understand

Answer»

Zero of polynomial

Not understand

Discussion

43.	Which of the following is irrational number?
Answer» Which of the following is irrational number?

Discussion

44.	State whether the following statements are true or false. Justify your answer.(i) Every irrational number is a real number.(ii) Every point on the number line is of the form √m, where m is a natural number.
Answer» State whether the following statements are true or false. Justify your answer. (i) Every irrational number is a real number. (ii) Every point on the number line is of the form $\sqrt{m}$ , where m is a natural number.

44.

State whether the following statements are true or false. Justify your answer.(i) Every irrational number is a real number.(ii) Every point on the number line is of the form √m, where m is a natural number.

Answer»

State whether the following statements are true or false. Justify your answer.

(i) Every irrational number is a real number.

(ii) Every point on the number line is of the form $\sqrt{m}$ , where m is a natural number.

Discussion

45.	If A=[2−131] and B=[1472], then the value 3A−2B is
Answer» If $A = [\begin{matrix} 2 & - 1 3 & 1 \end{matrix}]$ and $B = [\begin{matrix} 1 & 4 7 & 2 \end{matrix}]$ , then the value $3 A - 2 B$ is

Discussion

46.	If the area of a circle is twice its circumference, then find the diameter of the circle.
Answer» If the area of a circle is twice its circumference, then find the diameter of the circle.

Discussion

47.	Three distinct points A,B and C are given in the 2 dimensional coordinates planes such that the ratio of the distance of any one of them from the points ( 1,0 ) to the distance from the point ( -1,0) is equal to 1: 3 then find the circumcentre of the triangle ABC
Answer» Three distinct points A,B and C are given in the 2 dimensional coordinates planes such that the ratio of the distance of any one of them from the points ( 1,0 ) to the distance from the point ( -1,0) is equal to 1: 3 then find the circumcentre of the triangle ABC

Discussion

48.	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. Show thatar(ABCD) = ar(PBQR).[Hint : Join AC and PQ. Now compare ar(ACQ) and ar(APQ).]
Answer» 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. Show that ar(ABCD) = ar(PBQR). [Hint : Join AC and PQ. Now compare ar(ACQ) and ar(APQ).]

Discussion

49.	One side of a rectangle lose along the line 4x + 7y + 5 = 0. Two of its opposites vertices are ( -3,1) and (1,1). Find the equations of the lines containing other three sides.
Answer» One side of a rectangle lose along the line 4x + 7y + 5 = 0. Two of its opposites vertices are ( -3,1) and (1,1). Find the equations of the lines containing other three sides.

Discussion

50.	Solve 3x-42≤512
Answer» Solve $\|\frac{3 x - 4}{2}\| \leq \frac{5}{12}$

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

If △NVY≅△AJU and both the triangles are scalene, then which of the following is true?

In the figure, arms BA and BC of ∠ABC are respectively parallel to arms ED and EF of ∠DEF. Prove that ∠ABC = ∠DEF = 1800

While plotting a graph, ___________ portion of the graph paper should be used.

Is 1.01001000.... an irrational number ?if so why? Simplify (5+✓2) (3 + ✓5)

Question 11Listed below are the temperatures in ∘C for 10 days.-6, -8, 0, 3, 2, 0, 1, 5, 4, 4What is the range of the data?(a) 8°C(b) 13°C(c) 10°C(d) 12°C

If P={x:x is letter in the word "PERMANENT"}, then find n(P).

A man can row 40 km upstream and 55 km downstream in 13 hours. Also, he can row 30 km upstream and 44 km downstream in 10 hours. Find the speed of the man in still water and the speed of the current.

Rohit can row downstream 32 km in 4 hours and upstream 4km in 1 hour. Find his speed of rowing in still water and speed of the current.

Draw the graph of the equation represented by a straight line which is parallel to the X-axis and at a distance 3 units below it.

The following table shows the area of the land on which different crops were grown. Crop Area of land (in million hectares) Rice 50 Wheat 30 Pulse 20 Sugarcane 25 Catton 15 Prepare a pictograph by choosing a suitable symbol to represent 10 million hectares.

Question 39State whether the following statement is true (T) or false (F).Two different equations can never have the same answer.

The degree of the polynomial is the ________ power of x in the polynomial f(x)?

The solution set of the system of equations x+y−z=6,3x−2y+z=−5 and x+3y−2z=14 is (x,y,z), then x+y+z is equal to

List all the state functions and state variables?

100. What is area of triangle with integral sides has perimeter 8 units

Find the percentage difference between the number of people in the height range 159.5 cm - 169.5 cm and 169.5 cm - 179.5 cm.

When simplified -127-2/3 is(a) 9(b) −9(c) 19(d) -19

x = 5, y = 2 is a solution of the linear equation (a) x + 2y = 7 (b) 5x + 2y = 7 (c) x + y = 7 (d) 5x + y = 7

23 Write the equation representing y axis

In the above figure, what is the length of EF given that ∠DEF=90° ?

If the ratio of mean and median of a certain data is 2:3 then find ratio of its mode and mean.

Drawnumber lines and locate the points on them:(a) (b) (c)

If xy2=4 and log3(log2x)+log1/3(log1/2y)=1, then x equals

If ∠ACB=40∘, then what is the value of x?

The positive numbers x and y satisfy xy = 1. Then the value of x such thatis minimum.

Question 1 (ii)Find the volume of a sphere whose radius is:(ii) 0.63 m[Assume π=227]

Among the following, the terminating rational number is .

In Fig, ABC is a quadrant of a circle of radius 14 cm and a semicircle is drawn with BC as diameter. Find the area of the shaded region.

23. The coordinates of the feet of the perpendicular from the vertices of triangle on the opposite sides are (20,25) (8,16) (8,9). Equations of sides and vertices is

If tan2x =tan2/x then the value of x is

Draw a line which divides this shape into half.

Prove that the four triangles got by joining the midpoints of a triangle are all congruent and that they are similar to the original triangle.

The equation equivalent to x = 7 is _________.

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

In a ΔABC, if AB = AC and ∠B = 70°, find ∠A.

In fig, if ∠ATO=40∘, find ∠AOB. [2 MARKS]

Let n &gt; 1 be an integer. Which of the following sets of numbers necessarily contains a multiple of 3?

Two coins are tossed simultaneously 600 times to get 2 heads : 234 times, 1 head : 206 times, 0 head : 160 times.If two coins are tossed at random, what is the probability of getting at least one head?(a) 103300 (b) 39100(c) 1115(d) 415

(√a − √b)×(√a + √b) =

Zero of polynomial Not understand

Which of the following is irrational number?

State whether the following statements are true or false. Justify your answer.(i) Every irrational number is a real number.(ii) Every point on the number line is of the form √m, where m is a natural number.

If A=[2−131] and B=[1472], then the value 3A−2B is

If the area of a circle is twice its circumference, then find the diameter of the circle.

Three distinct points A,B and C are given in the 2 dimensional coordinates planes such that the ratio of the distance of any one of them from the points ( 1,0 ) to the distance from the point ( -1,0) is equal to 1: 3 then find the circumcentre of the triangle ABC

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. Show thatar(ABCD) = ar(PBQR).[Hint : Join AC and PQ. Now compare ar(ACQ) and ar(APQ).]

One side of a rectangle lose along the line 4x + 7y + 5 = 0. Two of its opposites vertices are ( -3,1) and (1,1). Find the equations of the lines containing other three sides.

Solve 3x-42≤512

Let n > 1 be an integer. Which of the following sets of numbers necessarily contains a multiple of 3?