24740 + Interview Questions in Mathematics

1.	The two axes divide the Cartesian plane into __ quadrants. (Answer in numeric 1/2/3/4)
Answer» The two axes divide the Cartesian plane into __ quadrants. (Answer in numeric 1/2/3/4)

Discussion

2.	In parallelogram RSTV, diagonals RT and VS intersect at Q. If RQ=5x+1 and QT =3x +15 find QT.
Answer» In parallelogram RSTV, diagonals RT and VS intersect at Q. If RQ=5x+1 and QT =3x +15 find QT.

2.

In parallelogram RSTV, diagonals RT and VS intersect at Q. If RQ=5x+1 and QT =3x +15 find QT.

Answer»

In parallelogram RSTV, diagonals RT and VS intersect at Q. If RQ=5x+1 and QT =3x +15 find QT.

Discussion

3.	A Circle of radius 25 units has a chord going through a point that is located 10 units for the center. What is the shortest possible length that chord could have?
Answer» A Circle of radius 25 units has a chord going through a point that is located 10 units for the center. What is the shortest possible length that chord could have?

Discussion

4.	Question 11 The average atomic mass of a sample of an element X is 16.2u. What are the percentages of isotopes 168X and 188X in the sample?
Answer» Question 11 The average atomic mass of a sample of an element $X$ is $16.2 u .$ What are the percentages of isotopes $_{8}^{16} X$ and $_{8}^{18} X$ in the sample?

Discussion

5.	If a sheet measuring 1 m2 costs Rs 25. The cost of sheet required for making a cubical box of edge 2.5 m is
Answer» If a sheet measuring 1 m² costs Rs 25. The cost of sheet required for making a cubical box of edge 2.5 m is

Discussion

6.	The trunk of a tree is cylindrical and its circumference is 176 cm. If the length of the trunk is 3 m. Find the volume of the timber that can be obtained from the trunk.
Answer» The trunk of a tree is cylindrical and its circumference is 176 cm. If the length of the trunk is 3 m. Find the volume of the timber that can be obtained from the trunk.

Discussion

7.	The initial odometer reading of a cab is 369 km. It travelled for 2 hours and the final odometer reading showed 469 km. Find the approximate averge speed of the cab.
Answer» The initial odometer reading of a cab is 369 km. It travelled for 2 hours and the final odometer reading showed 469 km. Find the approximate averge speed of the cab.

Discussion

8.	What is the angle subtended by the diameter AB at the circumference of the circle?
Answer» What is the angle subtended by the diameter AB at the circumference of the circle?

Discussion

9.	The given figure represents a parallelogram PQRS in which PM and RN are perpendiculars drawn to the diagonal QS. If the area of the shaded region is 40 cm2, then what is the area of the parallelogram PQRS?
Answer» The given figure represents a parallelogram PQRS in which PM and RN are perpendiculars drawn to the diagonal QS. If the area of the shaded region is 40 cm2, then what is the area of the parallelogram PQRS?

9.

The given figure represents a parallelogram PQRS in which PM and RN are perpendiculars drawn to the diagonal QS. If the area of the shaded region is 40 cm2, then what is the area of the parallelogram PQRS?

Answer»

The given figure represents a parallelogram PQRS in which PM and RN are perpendiculars drawn to the diagonal QS.

If the area of the shaded region is 40 cm2, then what is the area of the parallelogram PQRS?

Discussion

10.	Question 2 (v) Form the pair of linear equations in the following problems, and find their solutions (if they exist) by the elimination method: A lending library has a fixed charge for the first three days and an additional charge for each day thereafter. Saritha paid Rs 27 for a book kept for seven days, while Susy paid Rs 21 for the book she kept for five days. Find the fixed charge and the charge for each extra day
Answer» Question 2 (v) Form the pair of linear equations in the following problems, and find their solutions (if they exist) by the elimination method: A lending library has a fixed charge for the first three days and an additional charge for each day thereafter. Saritha paid Rs 27 for a book kept for seven days, while Susy paid Rs 21 for the book she kept for five days. Find the fixed charge and the charge for each extra day

Discussion

11.	A(-1, 8), B(4, -2) and C(-5, -3) are the vertices of a triangle, find the equation of the median through (-1, 8).
Answer» A(-1, 8), B(4, -2) and C(-5, -3) are the vertices of a triangle, find the equation of the median through (-1, 8).

Discussion

12.	Question 1 (i) Classify 2−√5 as rational or irrational.
Answer» Question 1 (i) Classify $2 - \sqrt{5}$ as rational or irrational.

Discussion

13.	Question 12 Find the zeroes of the polynomial p(x)=(x−2)2–(x+2)2
Answer» Question 12 Find the zeroes of the polynomial $p (x) = (x - 2)^{2} - (x + 2)^{2}$

Discussion

14.	If A and B are two given sets, then A ∩ (A∩B)c is equal to
Answer» If A and B are two given sets, then A ∩ $(A \cap B)^{c}$ is equal to

Discussion

15.	Question 12 (ii) A game of chance consists of spinning an arrow which comes to rest pointing at one of the numbers 1, 2, 3, 4, 5, 6, 7, 8 (see figure) and these are equally likely outcomes. What is the probability that it will point at an odd number?
Answer» Question 12 (ii) A game of chance consists of spinning an arrow which comes to rest pointing at one of the numbers 1, 2, 3, 4, 5, 6, 7, 8 (see figure) and these are equally likely outcomes. What is the probability that it will point at an odd number?

Discussion

16.	A sum of money amounts to Rs.8400 after 5 years and Rs.9840 after 8 years at the same rate of simple interest. The rate of interest per annum is
Answer» A sum of money amounts to Rs.8400 after 5 years and Rs.9840 after 8 years at the same rate of simple interest. The rate of interest per annum is

Discussion

17.	The height of a triangle is twice the base of the triangle. What will be the area of the triangle if the base is 'x' units? [1 MARK]
Answer» The height of a triangle is twice the base of the triangle. What will be the area of the triangle if the base is 'x' units? [1 MARK]

Discussion

18.	The remainder, when x3−4x2+5x−1 is divided by 2x+1 is A) −218B) 227C) 149D) 154
Answer» The remainder, when $x^{3} - 4 x^{2} + 5 x - 1$ is divided by $2 x + 1$ is A) $- \frac{21}{8}$ B) $\frac{22}{7}$ C) $\frac{14}{9}$ D) $\frac{15}{4}$

18.

The remainder, when x3−4x2+5x−1 is divided by 2x+1 is A) −218B) 227C) 149D) 154

Answer»

The remainder, when $x^{3} - 4 x^{2} + 5 x - 1$ is divided by $2 x + 1$ is

A) $- \frac{21}{8}$

B) $\frac{22}{7}$

C)

\frac{14}{9}

D)

\frac{15}{4}

Discussion

19.	Question 2 Represent −211,−511,−911 on the number line.
Answer» Question 2 Represent $\frac{- 2}{11}, \frac{- 5}{11}, \frac{- 9}{11}$ on the number line.

Discussion

20.	In triangle ABC, D and E are points on BC such that CD = DE = EB. Find the ratio of areas of triangle ADE and triangle ABC.
Answer» In triangle ABC, D and E are points on BC such that CD = DE = EB. Find the ratio of areas of triangle ADE and triangle ABC.

Discussion

21.	The figure formed by joining the mid points of the adjacent sides of a rectangle is a:
Answer» The figure formed by joining the mid points of the adjacent sides of a rectangle is a:

Discussion

22.	[Two friends discussing over a 2-dimensional figure] Arjun: Area is the length of the rope required to surround the figure. Shubh: The quantity of cloth required to cover the figure exactly, is called its area. Pick the correct option.
Answer» [Two friends discussing over a 2-dimensional figure] Arjun: Area is the length of the rope required to surround the figure. Shubh: The quantity of cloth required to cover the figure exactly, is called its area. Pick the correct option.

22.

[Two friends discussing over a 2-dimensional figure] Arjun: Area is the length of the rope required to surround the figure. Shubh: The quantity of cloth required to cover the figure exactly, is called its area. Pick the correct option.

Answer»

[Two friends discussing over a 2-dimensional figure]

Arjun: Area is the length of the rope required to surround the figure.

Shubh: The quantity of cloth required to cover the figure exactly, is called its area.

Pick the correct option.

Discussion

23.	Which of the following statements are always true?
Answer» Which of the following statements are always true?

Discussion

24.	Question 4 Express 0.99999…in the form pq. Are you surprised by your answer? Discuss why the answer makes sense.
Answer» Question 4 Express 0.99999…in the form $\frac{p}{q}$ . Are you surprised by your answer? Discuss why the answer makes sense.

Discussion

25.	In ΔABC, AD is the median, find the length of AD if AC =7cm, BC =8 cm and AB =9 cm.
Answer» In $Δ A B C,$ AD is the median, find the length of AD if AC =7cm, BC =8 cm and AB =9 cm.

Discussion

26.	Simplify: (a2−b2)2
Answer» Simplify: $(a^{2} - b^{2})^{2}$

Discussion

27.	Two soccer players kick a ball simultaneously from opposite sides. One kicks with 50N force towards east and other kicks with 30 N force towards west. What is the net force on the ball?
Answer» Two soccer players kick a ball simultaneously from opposite sides. One kicks with 50N force towards east and other kicks with 30 N force towards west. What is the net force on the ball?

Discussion

28.	How will you make the following equations linear? 5x−1+1y−2=2 6x−1+3y−2=1 (Where x≠1,y≠2)
Answer» How will you make the following equations linear? $\frac{5}{x - 1} + \frac{1}{y - 2} = 2$ $\frac{6}{x - 1} + \frac{3}{y - 2} = 1$ (Where $x \neq 1, y \neq 2)$

Discussion

29.	Match the two columns Column−IColumn−II(A) For the set of numbers 2, 2, 4, 5 and 12, the true(p) mode+2 meanStatement is(B) 3 median is equal to(q) mid−value of theclass12, 30, 32, 10, 19, 8, 11, 20 is(C) In a histogram, each class rectangle is constructed with is(r) Mean>ModeBase as(D) A frequency polygon is constructed by plotting frequency(s) Class–intervalsOf the class interval and the Choose the correct option:
Answer» Match the two columns $\begin{matrix} C o l u m n - I & C o l u m n - I I (A) F o r t h e s e t o f n u m b e r s 2, 2, 4, 5 a n d 12, t h e t r u e & (p) m o d e + 2 m e a n S t a t e m e n t i s (B) 3 m e d i a n i s e q u a l t o & (q) m i d - v a l u e o f t h e c l a s s 12, 30, 32, 10, 19, 8, 11, 20 i s (C) I n a h i s t o g r a m, e a c h c l a s s r e c t a n g l e i s c o n s t r u c t e d w i t h i s & (r) M e a n > M o d e B a s e a s (D) A f r e q u e n c y p o l y g o n i s c o n s t r u c t e d b y p l o t t i n g f r e q u e n c y & (s) C l a s s - i n t e r v a l s O f t h e c l a s s i n t e r v a l a n d t h e \end{matrix}$ Choose the correct option:

Discussion

30.	A quadrilateral with all four sides equal, each angle not equal to 90∘ is called _________. Diagonals of such a quadrilateral intersect at an angle of ____________.
Answer» A quadrilateral with all four sides equal, each angle not equal to $90^{\circ}$ is called _________. Diagonals of such a quadrilateral intersect at an angle of ____________.

Discussion

31.	The curved surface area of right circular cylinder of height 14 cm is 88 cm2. The diameter of the base of the cylinder is:
Answer» The curved surface area of right circular cylinder of height 14 cm is 88 cm². The diameter of the base of the cylinder is:

Discussion

32.	The sum of length, breadth and height of a cuboidal box is 19 cm and the length of its diagonal is 11 cm. find the surface area of the cuboidal box.
Answer» The sum of length, breadth and height of a cuboidal box is 19 cm and the length of its diagonal is 11 cm. find the surface area of the cuboidal box.

Discussion

33.	In the following figure if O is the centre of the circle, AC = 3 cm and BC = 4 cm, then the length of the diameter of the circle is
Answer» In the following figure if O is the centre of the circle, AC = 3 cm and BC = 4 cm, then the length of the diameter of the circle is

33.

In the following figure if O is the centre of the circle, AC = 3 cm and BC = 4 cm, then the length of the diameter of the circle is

Answer»

In the following figure if O is the centre of the circle, AC = 3 cm and BC = 4 cm, then the length of the diameter of the circle is

Discussion

34.	A circle has radius 5 cm. A section of its circumference has length π cm. What is the angle subtended by this section at the centre?
Answer» A circle has radius 5 cm. A section of its circumference has length $π$ cm. What is the angle subtended by this section at the centre?

Discussion

35.	The median of x, x+3, x+5, x+7, x+10 is 9, the value of second observation is:7
Answer» The median of x, x+3, x+5, x+7, x+10 is 9, the value of second observation is: 7

Discussion

36.	Solve the following pairs of equations by reducing them to a pair of linear equations: 13x+y+13x−y=34 12(3x+y)−12(3x−y)=−18
Answer» Solve the following pairs of equations by reducing them to a pair of linear equations: $\frac{1}{3 x + y} + \frac{1}{3 x - y} = \frac{3}{4}$ $\frac{1}{2 (3 x + y)} - \frac{1}{2 (3 x - y)} = \frac{- 1}{8}$

Discussion

37.	In the figure, ABCD is a parallelogram, AB and BC are equal to 15 cm and 6 cm respectively. If DF = 4 cm, what is the value of BE?
Answer» In the figure, ABCD is a parallelogram, AB and BC are equal to 15 cm and 6 cm respectively. If DF = 4 cm, what is the value of BE?

37.

In the figure, ABCD is a parallelogram, AB and BC are equal to 15 cm and 6 cm respectively. If DF = 4 cm, what is the value of BE?

Answer»

In the figure, ABCD is a parallelogram, AB and BC are equal to 15 cm and 6 cm respectively. If DF = 4 cm, what is the value of BE?

Discussion

38.	Give that a, b, c are in AP. The determinant ∣∣∣∣x+1x+2x+ax+2x+3x+bx+3x+4x+c∣∣∣∣ in its simpliest form is equal to
Answer» Give that a, b, c are in AP. The determinant $∣ ∣∣ ∣ \begin{matrix} x + 1 & x + 2 & x + a x + 2 & x + 3 & x + b x + 3 & x + 4 & x + c \end{matrix} ∣ ∣∣ ∣$ in its simpliest form is equal to

Discussion

39.	If 'p' and 'q' are rational numbers, then find 'p' and 'q' given that 3+√73−√7=p+q√7
Answer» If 'p' and 'q' are rational numbers, then find 'p' and 'q' given that $\frac{3 + \sqrt{7}}{3 - \sqrt{7}} = p + q \sqrt{7}$

Discussion

40.	A right angled triangle having its base and height equal to 24 cm and 7 cm respectively is rotated by 360⁰ along its base. Find the curved surface area of the resultant figure.
Answer» A right angled triangle having its base and height equal to 24 $c m$ and 7 $c m$ respectively is rotated by 360⁰ along its base. Find the curved surface area of the resultant figure.

Discussion

41.	The expression a4−2a3−4a+8 can be factorise as
Answer» The expression $a^{4} - 2 a^{3} - 4 a + 8$ can be factorise as

Discussion

42.	For the given pair of linear equations, a1x+b1y+c1=0 and a2x+b2y+c2=0. The values of x and y are ( __ , __ ). Fill in the blanks.
Answer» For the given pair of linear equations, $a_{1} x + b_{1} y + c_{1} = 0$ and $a_{2} x + b_{2} y + c_{2} = 0$ . The values of x and y are ( __ , __ ). Fill in the blanks.

Discussion

43.	If one angle of parallelogram is 90∘,then all the other angles are equal to .
Answer» $If one angle of parallelogram is 90^{\circ}, then all the other angles are equal to$ .

Discussion

44.	If ab = 57 then find the ratio 5a−bb ?
Answer» If $\frac{a}{b}$ = $\frac{5}{7}$ then find the ratio $\frac{5 a - b}{b}$ ?

Discussion

45.	Factorise a3+3a2b+3ab2+b3−8
Answer» Factorise $a^{3} + 3 a^{2} b + 3 a b^{2} + b^{3} - 8$

Discussion

46.	How many cubic centimetres of iron are there in an open box whose external dimensions are 36 cm,25,cm and 16.5 cm,the iron being 1.5 cm thick throughout? If 1cm3 of iron weighs 15 g, find the weight of the empty box in kilograms.
Answer» $How many cubic centimetres of iron are there in an open box whose external dimensions are 36 cm,25,cm and 16.5 cm,the iron being 1.5 cm thick throughout? If 1 c m^{3} of iron weighs 15 g, find the weight of the empty box in kilograms .$

Discussion

47.	A chord of length 14 cm is at a distance of 6 cm from the centre of a circle. The length of another chord at a distance of 2 cm from the centre of the circle is
Answer» A chord of length 14 cm is at a distance of 6 cm from the centre of a circle. The length of another chord at a distance of 2 cm from the centre of the circle is

Discussion

48.	Solve the equation 3x + 2 = x - 8, and represent the solution on (i) the number line (ii) the Cartesian plane.
Answer» Solve the equation 3x + 2 = x - 8, and represent the solution on (i) the number line (ii) the Cartesian plane.

48.

Solve the equation 3x + 2 = x - 8, and represent the solution on (i) the number line (ii) the Cartesian plane.

Answer»

Solve the equation 3x + 2 = x - 8, and represent the solution on

(i) the number line (ii) the Cartesian plane.

Discussion

49.	What is the volume of a cube with edges of length 10 m?
Answer» What is the volume of a cube with edges of length 10 m?

Discussion

50.	A sphere, a cylinder and a cone have the same diameter. The height of the cylinder and also the cone are equal to the diameter of the sphere. Find the ratio of their volumes.
Answer» A sphere, a cylinder and a cone have the same diameter. The height of the cylinder and also the cone are equal to the diameter of the sphere. Find the ratio of their volumes.

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

The two axes divide the Cartesian plane into __ quadrants. (Answer in numeric 1/2/3/4)

In parallelogram RSTV, diagonals RT and VS intersect at Q. If RQ=5x+1 and QT =3x +15 find QT.

A Circle of radius 25 units has a chord going through a point that is located 10 units for the center. What is the shortest possible length that chord could have?

Question 11 The average atomic mass of a sample of an element X is 16.2u. What are the percentages of isotopes 168X and 188X in the sample?

If a sheet measuring 1 m2 costs Rs 25. The cost of sheet required for making a cubical box of edge 2.5 m is

The trunk of a tree is cylindrical and its circumference is 176 cm. If the length of the trunk is 3 m. Find the volume of the timber that can be obtained from the trunk.

The initial odometer reading of a cab is 369 km. It travelled for 2 hours and the final odometer reading showed 469 km. Find the approximate averge speed of the cab.

What is the angle subtended by the diameter AB at the circumference of the circle?

The given figure represents a parallelogram PQRS in which PM and RN are perpendiculars drawn to the diagonal QS. If the area of the shaded region is 40 cm2, then what is the area of the parallelogram PQRS?

A(-1, 8), B(4, -2) and C(-5, -3) are the vertices of a triangle, find the equation of the median through (-1, 8).

Question 1 (i) Classify 2−√5 as rational or irrational.

Question 12 Find the zeroes of the polynomial p(x)=(x−2)2–(x+2)2

If A and B are two given sets, then A ∩ (A∩B)c is equal to

Question 12 (ii) A game of chance consists of spinning an arrow which comes to rest pointing at one of the numbers 1, 2, 3, 4, 5, 6, 7, 8 (see figure) and these are equally likely outcomes. What is the probability that it will point at an odd number?

A sum of money amounts to Rs.8400 after 5 years and Rs.9840 after 8 years at the same rate of simple interest. The rate of interest per annum is

The height of a triangle is twice the base of the triangle. What will be the area of the triangle if the base is 'x' units? [1 MARK]

The remainder, when x3−4x2+5x−1 is divided by 2x+1 is A) −218B) 227C) 149D) 154

Question 2 Represent −211,−511,−911 on the number line.

In triangle ABC, D and E are points on BC such that CD = DE = EB. Find the ratio of areas of triangle ADE and triangle ABC.

The figure formed by joining the mid points of the adjacent sides of a rectangle is a:

[Two friends discussing over a 2-dimensional figure] Arjun: Area is the length of the rope required to surround the figure. Shubh: The quantity of cloth required to cover the figure exactly, is called its area. Pick the correct option.

Which of the following statements are always true?

Question 4 Express 0.99999…in the form pq. Are you surprised by your answer? Discuss why the answer makes sense.

In ΔABC, AD is the median, find the length of AD if AC =7cm, BC =8 cm and AB =9 cm.

Simplify: (a2−b2)2

Two soccer players kick a ball simultaneously from opposite sides. One kicks with 50N force towards east and other kicks with 30 N force towards west. What is the net force on the ball?

How will you make the following equations linear? 5x−1+1y−2=2 6x−1+3y−2=1 (Where x≠1,y≠2)

A quadrilateral with all four sides equal, each angle not equal to 90∘ is called _________. Diagonals of such a quadrilateral intersect at an angle of ____________.

The curved surface area of right circular cylinder of height 14 cm is 88 cm2. The diameter of the base of the cylinder is:

The sum of length, breadth and height of a cuboidal box is 19 cm and the length of its diagonal is 11 cm. find the surface area of the cuboidal box.

In the following figure if O is the centre of the circle, AC = 3 cm and BC = 4 cm, then the length of the diameter of the circle is

A circle has radius 5 cm. A section of its circumference has length π cm. What is the angle subtended by this section at the centre?

The median of x, x+3, x+5, x+7, x+10 is 9, the value of second observation is:7

Solve the following pairs of equations by reducing them to a pair of linear equations: 13x+y+13x−y=34 12(3x+y)−12(3x−y)=−18

In the figure, ABCD is a parallelogram, AB and BC are equal to 15 cm and 6 cm respectively. If DF = 4 cm, what is the value of BE?

Give that a, b, c are in AP. The determinant ∣∣∣∣x+1x+2x+ax+2x+3x+bx+3x+4x+c∣∣∣∣ in its simpliest form is equal to

If 'p' and 'q' are rational numbers, then find 'p' and 'q' given that 3+√73−√7=p+q√7

A right angled triangle having its base and height equal to 24 cm and 7 cm respectively is rotated by 360⁰ along its base. Find the curved surface area of the resultant figure.

The expression a4−2a3−4a+8 can be factorise as

For the given pair of linear equations, a1x+b1y+c1=0 and a2x+b2y+c2=0. The values of x and y are ( __ , __ ). Fill in the blanks.

If one angle of parallelogram is 90∘,then all the other angles are equal to .

If ab = 57 then find the ratio 5a−bb ?

Factorise a3+3a2b+3ab2+b3−8

How many cubic centimetres of iron are there in an open box whose external dimensions are 36 cm,25,cm and 16.5 cm,the iron being 1.5 cm thick throughout? If 1cm3 of iron weighs 15 g, find the weight of the empty box in kilograms.

A chord of length 14 cm is at a distance of 6 cm from the centre of a circle. The length of another chord at a distance of 2 cm from the centre of the circle is

Solve the equation 3x + 2 = x - 8, and represent the solution on (i) the number line (ii) the Cartesian plane.

What is the volume of a cube with edges of length 10 m?

A sphere, a cylinder and a cone have the same diameter. The height of the cylinder and also the cone are equal to the diameter of the sphere. Find the ratio of their volumes.

A quadrilateral with all four sides equal, each angle not equal to 90∘ is called _. Diagonals of such a quadrilateral intersect at an angle of ____.

For the given pair of linear equations, a1x+b1y+c1=0 and a2x+b2y+c2=0. The values of x and y are ( , ). Fill in the blanks.