24740 + Interview Questions in Mathematics

1.	Show that the sum of the three altitudes of a triangle is less than the sum of the three sides of the triangle.
Answer» Show that the sum of the three altitudes of a triangle is less than the sum of the three sides of the triangle.

Discussion

2.	Check whether (√3+2)^2 is rational or irrational
Answer» Check whether (√3+2)^2 is rational or irrational

Discussion

3.	What will be the √√3
Answer» What will be the √√3

Discussion

4.	How 11/24×180° = (165/2)° Please explane in very simple form
Answer» How 11/24×180° = (165/2)° Please explane in very simple form

4.

How 11/24×180° = (165/2)° Please explane in very simple form

Answer»

How 11/24×180° = (165/2)°

Please explane in very simple form

Discussion

5.	Verify that : X to the power 3 + y to the power 3 + z to the power 3-3xyz=1\2(x+y+z)[(x-y)to the power 2+(y-z) to the power 2+(z-x) to the power 2
Answer» Verify that : X to the power 3 + y to the power 3 + z to the power 3-3xyz=1\2(x+y+z)[(x-y)to the power 2+(y-z) to the power 2+(z-x) to the power 2

Discussion

6.	What is the error in surface area of the sphere, when error in measuring it's radius is 2%?
Answer» What is the error in surface area of the sphere, when error in measuring it's radius is 2%?

Discussion

7.	Find the value of k, if (x −1) is a factor of p(x)=2x2+kx+√2
Answer» Find the value of k, if (x −1) is a factor of $p (x) = {2 x}^{2} + k x + \sqrt{2}$

Discussion

8.	Rohan has a recurring deposit account in State Bank of India of Rs 2000 per month at the rate of 10% per annum. He receives Rs 83100 at the time of maturity. What was the time period for which he held the account?
Answer» Rohan has a recurring deposit account in State Bank of India of Rs 2000 per month at the rate of 10% per annum. He receives Rs 83100 at the time of maturity. What was the time period for which he held the account?

Discussion

9.	Question 1 (iii) 35+27
Answer» Question 1 (iii) $\frac{3}{5} + \frac{2}{7}$

Discussion

10.	The point, (-3,-1) in a Cartesian plane will lie in which quadrant?
Answer» The point, (-3,-1) in a Cartesian plane will lie in which quadrant?

Discussion

11.	Question 1 (d) Calculate the amount and compound interest on: d) Rs 8000 for 1 years at 9% per annum compounded half yearly. (you could the year by year calculation using S.I formula to verify).
Answer» Question 1 (d) Calculate the amount and compound interest on: d) Rs 8000 for 1 years at 9% per annum compounded half yearly. (you could the year by year calculation using S.I formula to verify).

Discussion

12.	ABC is a right angle triangle in which angleA=90 and AB=AC ,Find angle B and angle C
Answer» ABC is a right angle triangle in which angleA=90 and AB=AC ,Find angle B and angle C

Discussion

13.	A pharmacist needs to strengthen a 15% alchohol solution to one of 32% alchohol. How much pure alchohol should be added to 800ml of 15% solution?
Answer» A pharmacist needs to strengthen a 15% alchohol solution to one of 32% alchohol. How much pure alchohol should be added to 800ml of 15% solution?

Discussion

14.	Define cumulative frequency distribution.
Answer» Define cumulative frequency distribution.

Discussion

15.	In 50 throws of a die, the outcomes were noted as under: Outcomes123456Number of times8967128 A die is thrown at random. What is the probability of getting an even number? (a) 1225 (b) 350 (c) 18 (d) 12
Answer» In 50 throws of a die, the outcomes were noted as under: $\begin{matrix} Outcomes & 1 & 2 & 3 & 4 & 5 & 6 Number of times & 8 & 9 & 6 & 7 & 12 & 8 \end{matrix}$ A die is thrown at random. What is the probability of getting an even number? (a) $\frac{12}{25}$ (b) $\frac{3}{50}$ (c) $\frac{1}{8}$ (d) $\frac{1}{2}$

15.

In 50 throws of a die, the outcomes were noted as under: Outcomes123456Number of times8967128 A die is thrown at random. What is the probability of getting an even number? (a) 1225 (b) 350 (c) 18 (d) 12

Answer»

In 50 throws of a die, the outcomes were noted as under:

$\begin{matrix} Outcomes & 1 & 2 & 3 & 4 & 5 & 6 Number of times & 8 & 9 & 6 & 7 & 12 & 8 \end{matrix}$

A die is thrown at random. What is the probability of getting an even number?

(a) $\frac{12}{25}$

(b) $\frac{3}{50}$

(c) $\frac{1}{8}$

(d) $\frac{1}{2}$

Discussion

16.	If a + b + c = 9 and ab + bc + ca = 23, then a2+b2+c2=
Answer» If a + b + c = 9 and ab + bc + ca = 23, then $a^{2} + b^{2} + c^{2}$ =

Discussion

17.	Using factor theorem, show that g(x) is a factor of p(x), when p(x)=69+11x−x2+x3,g(x)=x+3
Answer» Using factor theorem, show that g(x) is a factor of p(x), when $p (x) = 69 + 11 x - x^{2} + x^{3}, g (x) = x + 3$

Discussion

18.	Find the mode of the following data. Class interval25−3535−4545−5555−6565−7575−8585−95Frequency1216171581913
Answer» Find the mode of the following data. $\begin{matrix} C l a s s i n t e r v a l & 25 - 35 & 35 - 45 & 45 - 55 & 55 - 65 & 65 - 75 & 75 - 85 & 85 - 95 F r e q u e n c y & 12 & 16 & 17 & 15 & 8 & 19 & 13 \end{matrix}$

18.

Find the mode of the following data. Class interval25−3535−4545−5555−6565−7575−8585−95Frequency1216171581913

Answer»

Find the mode of the following data.

$\begin{matrix} C l a s s i n t e r v a l & 25 - 35 & 35 - 45 & 45 - 55 & 55 - 65 & 65 - 75 & 75 - 85 & 85 - 95 F r e q u e n c y & 12 & 16 & 17 & 15 & 8 & 19 & 13 \end{matrix}$

Discussion

19.	Draw the graphs of the lines x - y = 1 and 2x + y = 8. Shade the area formed by these two lines and the y - axis. Also, find this area.
Answer» Draw the graphs of the lines x - y = 1 and 2x + y = 8. Shade the area formed by these two lines and the y - axis. Also, find this area.

Discussion

20.	If a+b+c = 13, then what is the maximum value of (a - 3)( b - 2)(c + 1)
Answer» If a+b+c = 13, then what is the maximum value of (a - 3)( b - 2)(c + 1)

20.

If a+b+c = 13, then what is the maximum value of (a - 3)( b - 2)(c + 1)

Answer»

If a+b+c = 13, then what is the maximum value of

(a - 3)( b - 2)(c + 1)

Discussion

21.	In the figure below, is any side of ΔABC parallel to X axis? If so, the side is___ .
Answer» In the figure below, is any side of ΔABC parallel to X axis? If so, the side is___ .

21.

In the figure below, is any side of ΔABC parallel to X axis? If so, the side is___ .

Answer»

In the figure below, is any side of ΔABC parallel to X axis? If so, the side is___ .

Discussion

22.	What is algebraic expression and a point?
Answer» What is algebraic expression and a point?

Discussion

23.	What is zero of zero polynomial?
Answer» What is zero of zero polynomial?

Discussion

24.	What 's' denotes in the Heron's formula area of triangle=√s(s−a)(s−b)(s−c) ?
Answer» What 's' denotes in the Heron's formula area of triangle= $\sqrt{s (s - a) (s - b) (s - c)}$ ?

Discussion

25.	What will be the mean of x, x + 2, x + 4, x + 6, x + 8, where the value of x is 12?
Answer» What will be the mean of x, x + 2, x + 4, x + 6, x + 8, where the value of x is 12?

Discussion

26.	The cost of a pencil is thrice the cost of rubber. The equivalent linear equation in two variables of above statement is:
Answer» The cost of a pencil is thrice the cost of rubber. The equivalent linear equation in two variables of above statement is:

Discussion

27.	If two interior angles on the same side of a traversal intersecting two parallel lines are in the ratio 2: 3, then the smaller of the two angles is:
Answer» If two interior angles on the same side of a traversal intersecting two parallel lines are in the ratio 2: 3, then the smaller of the two angles is:

Discussion

28.	The mean of 5 numbers is 18. If one number is excluded, their mean is 16. The excluded number is
Answer» The mean of 5 numbers is 18. If one number is excluded, their mean is 16. The excluded number is

Discussion

29.	The things which are double of same things are:
Answer» The things which are double of same things are:

Discussion

30.	The given figure shows triangle ABC. D is a point on side AC such that BD = DC. What is the measure of ∠ABC?
Answer» The given figure shows triangle ABC. D is a point on side AC such that BD = DC. What is the measure of ∠ABC?

30.

The given figure shows triangle ABC. D is a point on side AC such that BD = DC. What is the measure of ∠ABC?

Answer»

The given figure shows triangle ABC. D is a point on side AC such that BD = DC.

What is the measure of ∠ABC?

Discussion

31.	A circular park of radius 20 m is situated in a colony. Three boys Ankur, Syed and David are sitting at equal distances from each other on its boundary, each having a toy telephone in his hand to talk to each other. Find the length of the string of each phone.
Answer» A circular park of radius 20 m is situated in a colony. Three boys Ankur, Syed and David are sitting at equal distances from each other on its boundary, each having a toy telephone in his hand to talk to each other. Find the length of the string of each phone.

Discussion

32.	Write the rationalising factor for 6/√12-√3.
Answer» Write the rationalising factor for 6/√12-√3.

Discussion

33.	How many different line segments does a quadrilateral consist of ? __
Answer» How many different line segments does a quadrilateral consist of ? __

Discussion

34.	In the given figure, ABD is a triangle right angled at A and AC⊥BD. Then, AD2=BD×CD
Answer» In the given figure, ABD is a triangle right angled at A and $A C ⊥ B D$ . Then, $A D^{2} = B D \times C D$

Discussion

35.	For a given point P(x,y), in which quadrant the value of (x + y) is minimum?
Answer» For a given point P(x,y), in which quadrant the value of (x + y) is minimum?

Discussion

36.	The given figure shows a circle with centre O. P is mid-point of chord AB. Show that OP is perpendicular to AB.
Answer» The given figure shows a circle with centre O. P is mid-point of chord AB. Show that OP is perpendicular to AB.

36.

The given figure shows a circle with centre O. P is mid-point of chord AB. Show that OP is perpendicular to AB.

Answer»

The given figure shows a circle with centre O. P is mid-point of chord AB.

Show that OP is perpendicular to AB.

Discussion

37.	The distance of a star from planet x is 32423468898754376815798 km. Find the most occuring digit in this distance
Answer» The distance of a star from planet x is 32423468898754376815798 km. Find the most occuring digit in this distance

Discussion

38.	Into how many chapters was the famous treatise,'The Elements' divided by Euclid? (a) 3 (b) 12 (c) 11 (d) 9
Answer» Into how many chapters was the famous treatise,'The Elements' divided by Euclid? (a) 3 (b) 12 (c) 11 (d) 9

38.

Into how many chapters was the famous treatise,'The Elements' divided by Euclid? (a) 3 (b) 12 (c) 11 (d) 9

Answer»

Into how many chapters was the famous treatise,'The Elements' divided by Euclid?

(a) 3

(b) 12

(c) 11

(d) 9

Discussion

39.	A joker's cap is n the form of a right circular cone of base radius 7 cm and height 24cm . Find the area of the sheet required to make 10 such caps.
Answer» A joker's cap is n the form of a right circular cone of base radius 7 cm and height 24cm . Find the area of the sheet required to make 10 such caps.

Discussion

40.	The base a right-angled triangle measures 48 cm and its hypotenuse measures 50 cm. Find the area of the triangle.
Answer» The base a right-angled triangle measures 48 cm and its hypotenuse measures 50 cm. Find the area of the triangle.

Discussion

41.	If the following tally table shows the favourite colour of people in an auditorium. The percentage of people who like the blue colour is:
Answer» If the following tally table shows the favourite colour of people in an auditorium. The percentage of people who like the blue colour is:

Discussion

42.	The distance between rooftops of two building of height 20 m and 41 m is 29 m. Find the horizontal distance between them.
Answer» The distance between rooftops of two building of height 20 m and 41 m is 29 m. Find the horizontal distance between them.

Discussion

43.	The dome of a building is in the form of a hemisphere. Its radius is 63 dm. Find the cost of painting it at the rate of Rs. 2 per sq. m.
Answer» The dome of a building is in the form of a hemisphere. Its radius is 63 dm. Find the cost of painting it at the rate of Rs. 2 per sq. m.

Discussion

44.	If →a and →b are two unit vectors inclined at an angle θ such that →a+→b is a unit vector, then θ is equal to
Answer» If $\to a$ and $\to b$ are two unit vectors inclined at an angle $θ$ such that $\to a + \to b$ is a unit vector, then $θ$ is equal to

Discussion

45.	In the figure, find the value of x.
Answer» In the figure, find the value of x.

45.

In the figure, find the value of x.

Answer»

In the figure, find the value of x.

Discussion

46.	Why we take only rectangular area or rectangle strip to find area of the curves in unit Application of Integrals. Can we take some other shape also or not
Answer» Why we take only rectangular area or rectangle strip to find area of the curves in unit Application of Integrals. Can we take some other shape also or not

Discussion

47.	In number systems there are some formulas please send them and also tell me how we can find that if any number is rational or irrational very clearly
Answer» In number systems there are some formulas please send them and also tell me how we can find that if any number is rational or irrational very clearly

Discussion

48.	Evaluate (x + y + z)2
Answer» Evaluate (x + y + z)²

Discussion

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

Discussion

50.	Which of the following can be the factor(s) of (a2+1a2−2−3a+3a) ?
Answer» Which of the following can be the factor(s) of $(a^{2} + \frac{1}{a^{2}} - 2 - 3 a + \frac{3}{a})$ ?

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

Show that the sum of the three altitudes of a triangle is less than the sum of the three sides of the triangle.

Check whether (√3+2)^2 is rational or irrational

What will be the √√3

How 11/24×180° = (165/2)° Please explane in very simple form

Verify that : X to the power 3 + y to the power 3 + z to the power 3-3xyz=1\2(x+y+z)[(x-y)to the power 2+(y-z) to the power 2+(z-x) to the power 2

What is the error in surface area of the sphere, when error in measuring it's radius is 2%?

Find the value of k, if (x −1) is a factor of p(x)=2x2+kx+√2

Rohan has a recurring deposit account in State Bank of India of Rs 2000 per month at the rate of 10% per annum. He receives Rs 83100 at the time of maturity. What was the time period for which he held the account?

Question 1 (iii) 35+27

The point, (-3,-1) in a Cartesian plane will lie in which quadrant?

Question 1 (d) Calculate the amount and compound interest on: d) Rs 8000 for 1 years at 9% per annum compounded half yearly. (you could the year by year calculation using S.I formula to verify).

ABC is a right angle triangle in which angleA=90 and AB=AC ,Find angle B and angle C

A pharmacist needs to strengthen a 15% alchohol solution to one of 32% alchohol. How much pure alchohol should be added to 800ml of 15% solution?

Define cumulative frequency distribution.

In 50 throws of a die, the outcomes were noted as under: Outcomes123456Number of times8967128 A die is thrown at random. What is the probability of getting an even number? (a) 1225 (b) 350 (c) 18 (d) 12

If a + b + c = 9 and ab + bc + ca = 23, then a2+b2+c2=

Using factor theorem, show that g(x) is a factor of p(x), when p(x)=69+11x−x2+x3,g(x)=x+3

Find the mode of the following data. Class interval25−3535−4545−5555−6565−7575−8585−95Frequency1216171581913

Draw the graphs of the lines x - y = 1 and 2x + y = 8. Shade the area formed by these two lines and the y - axis. Also, find this area.

If a+b+c = 13, then what is the maximum value of (a - 3)( b - 2)(c + 1)

In the figure below, is any side of ΔABC parallel to X axis? If so, the side is___ .

What is algebraic expression and a point?

What is zero of zero polynomial?

What 's' denotes in the Heron's formula area of triangle=√s(s−a)(s−b)(s−c) ?

What will be the mean of x, x + 2, x + 4, x + 6, x + 8, where the value of x is 12?

The cost of a pencil is thrice the cost of rubber. The equivalent linear equation in two variables of above statement is:

If two interior angles on the same side of a traversal intersecting two parallel lines are in the ratio 2: 3, then the smaller of the two angles is:

The mean of 5 numbers is 18. If one number is excluded, their mean is 16. The excluded number is

The things which are double of same things are:

The given figure shows triangle ABC. D is a point on side AC such that BD = DC. What is the measure of ∠ABC?

A circular park of radius 20 m is situated in a colony. Three boys Ankur, Syed and David are sitting at equal distances from each other on its boundary, each having a toy telephone in his hand to talk to each other. Find the length of the string of each phone.

Write the rationalising factor for 6/√12-√3.

How many different line segments does a quadrilateral consist of ? __

In the given figure, ABD is a triangle right angled at A and AC⊥BD. Then, AD2=BD×CD

For a given point P(x,y), in which quadrant the value of (x + y) is minimum?

The given figure shows a circle with centre O. P is mid-point of chord AB. Show that OP is perpendicular to AB.

The distance of a star from planet x is 32423468898754376815798 km. Find the most occuring digit in this distance

Into how many chapters was the famous treatise,'The Elements' divided by Euclid? (a) 3 (b) 12 (c) 11 (d) 9

A joker's cap is n the form of a right circular cone of base radius 7 cm and height 24cm . Find the area of the sheet required to make 10 such caps.

The base a right-angled triangle measures 48 cm and its hypotenuse measures 50 cm. Find the area of the triangle.

If the following tally table shows the favourite colour of people in an auditorium. The percentage of people who like the blue colour is:

The distance between rooftops of two building of height 20 m and 41 m is 29 m. Find the horizontal distance between them.

The dome of a building is in the form of a hemisphere. Its radius is 63 dm. Find the cost of painting it at the rate of Rs. 2 per sq. m.

If →a and →b are two unit vectors inclined at an angle θ such that →a+→b is a unit vector, then θ is equal to

In the figure, find the value of x.

Why we take only rectangular area or rectangle strip to find area of the curves in unit Application of Integrals. Can we take some other shape also or not

In number systems there are some formulas please send them and also tell me how we can find that if any number is rational or irrational very clearly

Evaluate (x + y + z)2

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

Which of the following can be the factor(s) of (a2+1a2−2−3a+3a) ?