24740 + Interview Questions in Mathematics

1.	A man starts his trip from the origin of the Cartesian plane; he goes 5 units east, 3 units north and then 10 units west. Find his present location on the Cartesian plane. In which quadrant does he lie?
Answer» A man starts his trip from the origin of the Cartesian plane; he goes 5 units east, 3 units north and then 10 units west. Find his present location on the Cartesian plane. In which quadrant does he lie?

Discussion

2.	If the sum of a pair of opposite angles of a quadrilateral is 180o, the quadrilateral is:
Answer» If the sum of a pair of opposite angles of a quadrilateral is 180^o, the quadrilateral is:

Discussion

3.	There is one and only one circle passing through ______ given non-collinear points.
Answer» There is one and only one circle passing through ______ given non-collinear points.

Discussion

4.	The area of parallelogram ABCD is:
Answer» The area of parallelogram ABCD is:

4.

The area of parallelogram ABCD is:

Answer»

The area of parallelogram ABCD is:

Discussion

5.	In the given figure, CD ⊥ AC, CD ∥ AE, ∠ ADE = 28o and ∠ DEB = 85o. Find the values of x and y.
Answer» In the given figure, CD $⊥$ AC, CD $∥$ AE, $∠$ ADE = 28 $^{o}$ and $∠$ DEB = 85 $^{o}$ . Find the values of x and y.

Discussion

6.	Study the information in the following pie charts to answer these questions: DETAILS OF 1500 EMPLOYEES WORKING IN AN ORGANISATION ON VARIOUS SCALES Break-up of 1500 Employees Across the Scales Break-up of 800 Male Employees Across the Scales What is the ratio between male and female employees respectively working in Scale V?
Answer» Study the information in the following pie charts to answer these questions: DETAILS OF 1500 EMPLOYEES WORKING IN AN ORGANISATION ON VARIOUS SCALES Break-up of 1500 Employees Across the Scales Break-up of 800 Male Employees Across the Scales What is the ratio between male and female employees respectively working in Scale V?

Discussion

7.	In figure name the following : (i) Five line segments (ii) Five rays (iii) Four collinear points (iv) Two pairs of non-intersecting line segments
Answer» In figure name the following : (i) Five line segments (ii) Five rays (iii) Four collinear points (iv) Two pairs of non-intersecting line segments

7.

In figure name the following : (i) Five line segments (ii) Five rays (iii) Four collinear points (iv) Two pairs of non-intersecting line segments

Answer»

In figure name the following :

(i) Five line segments

(ii) Five rays

(iii) Four collinear points

(iv) Two pairs of non-intersecting line segments

Discussion

8.	Which of the following equations have x = 2, y = 1 as the solution?
Answer» Which of the following equations have x = 2, y = 1 as the solution?

Discussion

9.	Find the value of (1296)0.17×(1296)0.08
Answer» Find the value of $(1296)^{0.17} \times (1296)^{0.08}$

Discussion

10.	1) Can we draw an equilateral triangle with each angle having a measure of 70 degrees? 2) While constructing a perpendicular bisector, can we take exactly half of the radius of that line and draw the arcs?If not why?
Answer» 1) Can we draw an equilateral triangle with each angle having a measure of 70 degrees? 2) While constructing a perpendicular bisector, can we take exactly half of the radius of that line and draw the arcs?If not why?

Discussion

11.	Question 4 The water for a factory is stored in a hemispherical tank whose internal diameter is 14 m. The tank contains 50 kilo litres of water. Water is pumped into the tank to fill to its capacity. Calculate the volume of water pumped into the tank.
Answer» Question 4 The water for a factory is stored in a hemispherical tank whose internal diameter is 14 m. The tank contains 50 kilo litres of water. Water is pumped into the tank to fill to its capacity. Calculate the volume of water pumped into the tank.

Discussion

12.	In the adjoining figure, ABCD is a cyclic quadrliateral in which ∠BCD=100∘ and ∠ABD=50∘. Find ∠ADB.
Answer» In the adjoining figure, ABCD is a cyclic quadrliateral in which $∠ B C D = 100^{\circ} a n d ∠ A B D = 50^{\circ} . Find ∠ A D B .$

12.

In the adjoining figure, ABCD is a cyclic quadrliateral in which ∠BCD=100∘ and ∠ABD=50∘. Find ∠ADB.

Answer»

In the adjoining figure, ABCD is a cyclic quadrliateral in which $∠ B C D = 100^{\circ} a n d ∠ A B D = 50^{\circ} . Find ∠ A D B .$

Discussion

13.	Question 4 Any solution of the linear equation 2x+0y+9=0 in two variables is of the form: A) (−92,m) B) (n,−92) C) (0,−92) D) (−9,0)
Answer» Question 4 Any solution of the linear equation 2x+0y+9=0 in two variables is of the form: A) $(- \frac{9}{2}, m)$ B) $(n, - \frac{9}{2})$ C) $(0, - \frac{9}{2})$ D) $(- 9, 0)$

Discussion

14.	Question 94 A Water tank casts a shadow 21 m long. A tree of height 9.5 m caste a shadow 8 m long at the same time. The length of the shadows are directly proportional to their heights. Find the height of the tank.
Answer» Question 94 A Water tank casts a shadow 21 m long. A tree of height 9.5 m caste a shadow 8 m long at the same time. The length of the shadows are directly proportional to their heights. Find the height of the tank.

14.

Question 94 A Water tank casts a shadow 21 m long. A tree of height 9.5 m caste a shadow 8 m long at the same time. The length of the shadows are directly proportional to their heights. Find the height of the tank.

Answer»

Question 94

A Water tank casts a shadow 21 m long. A tree of height 9.5 m caste a shadow 8 m long at the same time. The length of the shadows are directly proportional to their heights. Find the height of the tank.

Discussion

15.	Factorize-x3+13x2+32 x 20
Answer» Factorize-x³⁺13x²+32 x 20

Discussion

16.	Question 61 Fill in the blanks to make the statements true. The number of sides of a regular polygon, where each exterior angle has a measure of 36∘, is ___.
Answer» Question 61 Fill in the blanks to make the statements true. The number of sides of a regular polygon, where each exterior angle has a measure of $36^{\circ}$ , is ___.

Discussion

17.	In an isosceles triangle, the vertical angle is 15∘ more than each of its base angles. Find all the angles of the triangle.
Answer» In an isosceles triangle, the vertical angle is $15^{\circ}$ more than each of its base angles. Find all the angles of the triangle.

Discussion

18.	Prove that the area of triangle whose vertices are (t, t – 2), (t + 2, t + 2) and (t + 3, t) is independent of t
Answer» Prove that the area of triangle whose vertices are (t, t – 2), (t + 2, t + 2) and (t + 3, t) is independent of t

Discussion

19.	In ΔABD, AB = AD and AC is perpendicular to BD. State the congruence rule by which ΔACB≅ΔACD.
Answer» In $Δ A B D$ , AB = AD and AC is perpendicular to BD. State the congruence rule by which $Δ A C B ≅ Δ A C D$ .

Discussion

20.	Factorise 10pq + 9 + 6p + 15q and give the value of the expression for p = 3 and q = 2 [3 MARKS]
Answer» Factorise 10pq + 9 + 6p + 15q and give the value of the expression for p = 3 and q = 2 [3 MARKS]

Discussion

21.	What is degree of polynomial root3
Answer» What is degree of polynomial root3

Discussion

22.	Which of the following options is equal to sin θ+1−cos θcos θ−1+sin θ?
Answer» Which of the following options is equal to $\frac{sin θ + 1 - cos θ}{cos θ - 1 + sin θ} ?$

Discussion

23.	The perimeter of a triangle is ______than the sum of its medians
Answer» The perimeter of a triangle is ______than the sum of its medians

Discussion

24.	In the following figure, ∠1=2y+25∘, ∠2=x+15∘. Find x and y, if 2y+25∘=3y.
Answer» In the following figure, $∠ 1 = 2 y + 25^{\circ}, ∠ 2 = x + 15^{\circ}$ . Find $x$ and $y$ , if $2 y + 25^{\circ} = 3 y$ .

Discussion

25.	In the given figure, ∠CAB=90∘ and AD ⊥ BC. If AC = 75 cm, AB = 1 m and BC = 1.25 m, find AD.
Answer» $In the given figure, ∠ C A B = 90^{\circ} and AD ⊥ BC. If AC = 75 cm, AB = 1 m and BC = 1.25 m, find AD.$

Discussion

26.	What is the simple interest if the sum of money Rs 4800 is invested at the interest rate of 8.5% for a time period of 2 years 3 months?
Answer» What is the simple interest if the sum of money Rs 4800 is invested at the interest rate of 8.5% for a time period of 2 years 3 months?

Discussion

27.	In the figure given below, ∠DAB=100∘and∠DBC=30∘. Find∠BDC.
Answer» In the figure given below, $∠ D A B = 100^{\circ} a n d ∠ D B C = 30^{\circ}$ . Find $∠ B D C$ .

Discussion

28.	A hollow cylinder open at both ends is made of steel 2cm thick. What will be the volume of steel used in making the cylinder, if the external diameter is 24cm and the length of cylinder is 55cm?
Answer» A hollow cylinder open at both ends is made of steel 2cm thick. What will be the volume of steel used in making the cylinder, if the external diameter is 24cm and the length of cylinder is 55cm?

Discussion

29.	The coordinates of the origin are ...........
Answer» The coordinates of the origin are ...........

Discussion

30.	A rectangle's sides are extended by 3 m. The new area of the figure is given by the expression: a(x) = x2+7x+4. x is the extension of sides. What is the new area ?
Answer» A rectangle's sides are extended by 3 m. The new area of the figure is given by the expression: a(x) = $x^{2} + 7 x + 4$ . $x$ is the extension of sides. What is the new area ?

Discussion

31.	Points A(1,0), F(1,6) and D(3,6) are joined to form a figure. Which of the following holds true?
Answer» Points A(1,0), F(1,6) and D(3,6) are joined to form a figure. Which of the following holds true?

Discussion

32.	Thirty children were asked about the number of hours they watched TV programmes in the previous week. The results were found as follows: 1623512584810341228151176328596871412 (i) Make a grouped frequency distribution table for this data, taking class width 5 and one of the class intervals as 5- 10.
Answer» Thirty children were asked about the number of hours they watched TV programmes in the previous week. The results were found as follows: $\begin{matrix} 1 & 6 & 2 & 3 & 5 & 12 & 5 & 8 & 4 & 8 10 & 3 & 4 & 12 & 2 & 8 & 15 & 1 & 17 & 6 3 & 2 & 8 & 5 & 9 & 6 & 8 & 7 & 14 & 12 \end{matrix}$ (i) Make a grouped frequency distribution table for this data, taking class width 5 and one of the class intervals as 5- 10.

Discussion

33.	Question 5 Construct a right triangle whose base is 12 cm and sum of its hypotenuse and other side is 18 cm
Answer» Question 5 Construct a right triangle whose base is 12 cm and sum of its hypotenuse and other side is 18 cm

Discussion

34.	The volume of a cylindrical tank of radius 3.5 m and height 8 m is
Answer» The volume of a cylindrical tank of radius 3.5 m and height 8 m is

Discussion

35.	Perimeter of a parallelogram is 22 cm. If the longer side, measures 6.5 cm, the measure of the shorter side will be:
Answer» Perimeter of a parallelogram is 22 cm. If the longer side, measures 6.5 cm, the measure of the shorter side will be:

Discussion

36.	Question 2 (i) The following data on the number of girls (to the nearest ten) per thousand boys in different sections of Indian society is given below. SectionNumber of girls per thousand boysScheduled Caste (SC)940Scheduled Tribe (ST)970Non SC/ST920Backward districts950Non−backward districts920Rural930Urban910 (i) Represent the information above by a bar graph.
Answer» Question 2 (i) The following data on the number of girls (to the nearest ten) per thousand boys in different sections of Indian society is given below. $\begin{matrix} S e c t i o n & N u m b e r o f g i r l s p e r t h o u s a n d b o y s S c h e d u l e d C a s t e (S C) & 940 S c h e d u l e d T r i b e (S T) & 970 N o n S C / S T & 920 B a c k w a r d d i s t r i c t s & 950 N o n - b a c k w a r d d i s t r i c t s & 920 R u r a l & 930 U r b a n & 910 \end{matrix}$ (i) Represent the information above by a bar graph.

Discussion

37.	Question 1 The blood groups of 30 students of Class VIII are recoded as follows: A,B, O, O,AB,O,A,O,B, A, O, B,A,O, O, A,AB, O, A, A, O,O, AB, B,A,O, B,A,B,O. Represent this data in the form of frequency distribution table. Which is the most common, and which is the rarest, blood group among these students?
Answer» Question 1 The blood groups of 30 students of Class VIII are recoded as follows: A,B, O, O,AB,O,A,O,B, A, O, B,A,O, O, A,AB, O, A, A, O,O, AB, B,A,O, B,A,B,O. Represent this data in the form of frequency distribution table. Which is the most common, and which is the rarest, blood group among these students?

Discussion

38.	If n > 1, the value of 1log2n+1log3n+....+1log53n is
Answer» If n > 1, the value of $\frac{1}{l o g_{2} n} + \frac{1}{l o g_{3} n} + . . . . + \frac{1}{l o g_{53} n}$ is

Discussion

39.	The condition for a pair of equations a1x+b1y+c1=0 and a2x+b2y+c2=0 to be parallel is
Answer» The condition for a pair of equations $a_{1} x + b_{1} y + c_{1} = 0$ and $a_{2} x + b_{2} y + c_{2} = 0$ to be parallel is

Discussion

40.	If two towers of height h1 and h2 subtend angles 45∘ and 30∘ respectively at the midpoint of the line joining their feet, then find the ratio of h1:h2.
Answer» If two towers of height $h_{1} a n d h_{2}$ subtend angles $45^{\circ} a n d 30^{\circ}$ respectively at the midpoint of the line joining their feet, then find the ratio of $h_{1} : h_{2} .$

40.

If two towers of height h1 and h2 subtend angles 45∘ and 30∘ respectively at the midpoint of the line joining their feet, then find the ratio of h1:h2.

Answer»

If two towers of height $h_{1} a n d h_{2}$ subtend angles $45^{\circ} a n d 30^{\circ}$ respectively at the midpoint of the line joining their feet, then find the ratio of

$h_{1} : h_{2} .$

Discussion

41.	The range of x2−x+1x2+x+1 is
Answer» The range of $\frac{x^{2} - x + 1}{x^{2} + x + 1}$ is

Discussion

42.	Circle(s) touching X-axis at a distance 3 from the origin and having an intercept of length 2√7 on Y-axis is/are
Answer» Circle(s) touching X-axis at a distance 3 from the origin and having an intercept of length $2 \sqrt{7}$ on Y-axis is/are

Discussion

43.	A solid rectangle has length, breadth and height = 15 cm, 8 cm & 20 cm respectively. It is cut into two triangular prisms along the diagonal as shown in the figure. The Total surface area of each prism will be equal to:
Answer» A solid rectangle has length, breadth and height = 15 cm, 8 cm & 20 cm respectively. It is cut into two triangular prisms along the diagonal as shown in the figure. The Total surface area of each prism will be equal to:

43.

A solid rectangle has length, breadth and height = 15 cm, 8 cm & 20 cm respectively. It is cut into two triangular prisms along the diagonal as shown in the figure. The Total surface area of each prism will be equal to:

Answer»

A solid rectangle has length, breadth and height = 15 cm, 8 cm & 20 cm respectively. It is cut into two triangular prisms along the diagonal as shown in the figure. The Total surface area of each prism will be equal to:

Discussion

44.	Factorise the following using appropriate identities: 4y2–4y+1
Answer» Factorise the following using appropriate identities: $4 y^{2} - 4 y + 1$

Discussion

45.	If cos 3A = 0 and A is acute , find the value of (i) sin A (ii) cos 2A
Answer» If cos 3A = 0 and A is acute , find the value of (i) sin A (ii) cos 2A

45.

If cos 3A = 0 and A is acute , find the value of (i) sin A (ii) cos 2A

Answer»

If cos 3A = 0 and A is acute , find the value of

(i) sin A (ii) cos 2A

Discussion

46.	In △ABC, ∠ABC = 90∘, ∠BAC = 45∘ and ∠ACB = 45∘. What is this triangle called?
Answer» In $△$ ABC, ∠ABC = 90 $^{\circ}$ , ∠BAC = 45 $^{\circ}$ and ∠ACB = 45 $^{\circ}$ . What is this triangle called?

Discussion

47.	Find the square of (abc+bca+cab)
Answer» Find the square of $(\frac{a}{b c} + \frac{b}{c a} + \frac{c}{a b})$

Discussion

48.	Question 5 ABC is an isosceles triangle with AC = BC. If AB2=2AC2, prove that ABC is a right triangle.
Answer» Question 5 ABC is an isosceles triangle with AC = BC. If $A B^{2} = 2 A C^{2}$ , prove that ABC is a right triangle.

Discussion

49.	Find the product of (x+y−z+p) and xyzp.
Answer» Find the product of $(x + y - z + p)$ and $x y z p$ .

Discussion

50.	Two children Goutham and Pavani are fighting for coins. Finally Goutham won and took a coin from Pavani's pocket which has four different coins (a 1 rupee coin, a 2 rupee coin, a 5 rupee coin, and a 10 rupee coin). What is the probability that Goutham took out a 5 rupee coin?
Answer» Two children Goutham and Pavani are fighting for coins. Finally Goutham won and took a coin from Pavani's pocket which has four different coins (a 1 rupee coin, a 2 rupee coin, a 5 rupee coin, and a 10 rupee coin). What is the probability that Goutham took out a 5 rupee coin?

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

A man starts his trip from the origin of the Cartesian plane; he goes 5 units east, 3 units north and then 10 units west. Find his present location on the Cartesian plane. In which quadrant does he lie?

If the sum of a pair of opposite angles of a quadrilateral is 180o, the quadrilateral is:

There is one and only one circle passing through ______ given non-collinear points.

The area of parallelogram ABCD is:

In the given figure, CD ⊥ AC, CD ∥ AE, ∠ ADE = 28o and ∠ DEB = 85o. Find the values of x and y.

In figure name the following : (i) Five line segments (ii) Five rays (iii) Four collinear points (iv) Two pairs of non-intersecting line segments

Which of the following equations have x = 2, y = 1 as the solution?

Find the value of (1296)0.17×(1296)0.08

1) Can we draw an equilateral triangle with each angle having a measure of 70 degrees? 2) While constructing a perpendicular bisector, can we take exactly half of the radius of that line and draw the arcs?If not why?

Question 4 The water for a factory is stored in a hemispherical tank whose internal diameter is 14 m. The tank contains 50 kilo litres of water. Water is pumped into the tank to fill to its capacity. Calculate the volume of water pumped into the tank.

In the adjoining figure, ABCD is a cyclic quadrliateral in which ∠BCD=100∘ and ∠ABD=50∘. Find ∠ADB.

Question 4 Any solution of the linear equation 2x+0y+9=0 in two variables is of the form: A) (−92,m) B) (n,−92) C) (0,−92) D) (−9,0)​​​​​​​

Question 94 A Water tank casts a shadow 21 m long. A tree of height 9.5 m caste a shadow 8 m long at the same time. The length of the shadows are directly proportional to their heights. Find the height of the tank.

Factorize-x3+13x2+32 x 20

Question 61 Fill in the blanks to make the statements true. The number of sides of a regular polygon, where each exterior angle has a measure of 36∘, is ___.

In an isosceles triangle, the vertical angle is 15∘ more than each of its base angles. Find all the angles of the triangle.

Prove that the area of triangle whose vertices are (t, t – 2), (t + 2, t + 2) and (t + 3, t) is independent of t

In ΔABD, AB = AD and AC is perpendicular to BD. State the congruence rule by which ΔACB≅ΔACD.

Factorise 10pq + 9 + 6p + 15q and give the value of the expression for p = 3 and q = 2 [3 MARKS]

What is degree of polynomial root3

Which of the following options is equal to sin θ+1−cos θcos θ−1+sin θ?

The perimeter of a triangle is ______than the sum of its medians

In the following figure, ∠1=2y+25∘, ∠2=x+15∘. Find x and y, if 2y+25∘=3y.

In the given figure, ∠CAB=90∘ and AD ⊥ BC. If AC = 75 cm, AB = 1 m and BC = 1.25 m, find AD.

What is the simple interest if the sum of money Rs 4800 is invested at the interest rate of 8.5% for a time period of 2 years 3 months?

In the figure given below, ∠DAB=100∘and∠DBC=30∘. Find∠BDC.

A hollow cylinder open at both ends is made of steel 2cm thick. What will be the volume of steel used in making the cylinder, if the external diameter is 24cm and the length of cylinder is 55cm?

The coordinates of the origin are ...........

A rectangle's sides are extended by 3 m. The new area of the figure is given by the expression: a(x) = x2+7x+4. x is the extension of sides. What is the new area ?

Points A(1,0), F(1,6) and D(3,6) are joined to form a figure. Which of the following holds true?

Thirty children were asked about the number of hours they watched TV programmes in the previous week. The results were found as follows: 1623512584810341228151176328596871412 (i) Make a grouped frequency distribution table for this data, taking class width 5 and one of the class intervals as 5- 10.

Question 5 Construct a right triangle whose base is 12 cm and sum of its hypotenuse and other side is 18 cm

The volume of a cylindrical tank of radius 3.5 m and height 8 m is

Perimeter of a parallelogram is 22 cm. If the longer side, measures 6.5 cm, the measure of the shorter side will be:

If n &gt; 1, the value of 1log2n+1log3n+....+1log53n is

The condition for a pair of equations a1x+b1y+c1=0 and a2x+b2y+c2=0 to be parallel is

If two towers of height h1 and h2 subtend angles 45∘ and 30∘ respectively at the midpoint of the line joining their feet, then find the ratio of h1:h2.

The range of x2−x+1x2+x+1 is

Circle(s) touching X-axis at a distance 3 from the origin and having an intercept of length 2√7 on Y-axis is/are

A solid rectangle has length, breadth and height = 15 cm, 8 cm &amp; 20 cm respectively. It is cut into two triangular prisms along the diagonal as shown in the figure. The Total surface area of each prism will be equal to:

Factorise the following using appropriate identities: 4y2–4y+1

If cos 3A = 0 and A is acute , find the value of (i) sin A (ii) cos 2A

In △ABC, ∠ABC = 90∘, ∠BAC = 45∘ and ∠ACB = 45∘. What is this triangle called?

Find the square of (abc+bca+cab)

Question 5 ABC is an isosceles triangle with AC = BC. If AB2=2AC2, prove that ABC is a right triangle.

Find the product of (x+y−z+p) and xyzp.

Two children Goutham and Pavani are fighting for coins. Finally Goutham won and took a coin from Pavani's pocket which has four different coins (a 1 rupee coin, a 2 rupee coin, a 5 rupee coin, and a 10 rupee coin). What is the probability that Goutham took out a 5 rupee coin?

Question 4 Any solution of the linear equation 2x+0y+9=0 in two variables is of the form: A) (−92,m) B) (n,−92) C) (0,−92) D) (−9,0)

If n > 1, the value of 1log2n+1log3n+....+1log53n is

A solid rectangle has length, breadth and height = 15 cm, 8 cm & 20 cm respectively. It is cut into two triangular prisms along the diagonal as shown in the figure. The Total surface area of each prism will be equal to: