32581 + Interview Questions in Mathematics

1.	A bag contains 5 red balls and some blue balls. If the probability of drawing a blue ball is double that of a red ball, determine the number of blue balls in the bag.
Answer» A bag contains 5 red balls and some blue balls. If the probability of drawing a blue ball is double that of a red ball, determine the number of blue balls in the bag.

Discussion

2.	The curved surface area of a conical tomb is 528 sq. m and radius is 8 m. Find the height of the tomb.
Answer» The curved surface area of a conical tomb is 528 sq. m and radius is 8 m. Find the height of the tomb.

2.

The curved surface area of a conical tomb is 528 sq. m and radius is 8 m. Find the height of the tomb.

Answer»

The curved surface area of a conical tomb is 528 sq. m and radius is 8 m. Find the height of the tomb.

Discussion

3.	In a G.P.(a) The first term is and sixth term is , find r.(b) If T8 = 32 and r = 2, find a.(c) Which term of the G.P. 1, 2, 4 …….. will be 256.
Answer» In a G.P. (a) The first term is and sixth term is , find r. (b) If T₈ = 32 and r = 2, find a. (c) Which term of the G.P. 1, 2, 4 …….. will be 256.

3.

In a G.P.(a) The first term is and sixth term is , find r.(b) If T8 = 32 and r = 2, find a.(c) Which term of the G.P. 1, 2, 4 …….. will be 256.

Answer»

In a G.P.

(a) The first term is and sixth term is , find r.

(b) If T₈ = 32 and r = 2, find a.

(c) Which term of the G.P. 1, 2, 4 …….. will be 256.

Discussion

4.	Draw a circle of any radius. From a point outside the circle, draw tangents to the circle inclined at 45∘ to each other.
Answer» Draw a circle of any radius. From a point outside the circle, draw tangents to the circle inclined at 45 $^{\circ}$ to each other.

Discussion

5.	A circle may have…….
Answer» A circle may have…….

Discussion

6.	Find the mean of the step deviations: Class intervalFrequency(fi)Class mark(xi)di=xi−aui=dih0−1004050−200−2100−20039150−100−1200−3003425000300−400303501001400−500454502002
Answer» Find the mean of the step deviations: $\begin{matrix} C l a s s i n t e r v a l & F r e q u e n c y (f_{i}) & C l a s s m a r k (x_{i}) & d_{i} = x_{i} - a & u_{i} = \frac{d_{i}}{h} 0 - 100 & 40 & 50 & - 200 & - 2 100 - 200 & 39 & 150 & - 100 & - 1 200 - 300 & 34 & 250 & 0 & 0 300 - 400 & 30 & 350 & 100 & 1 400 - 500 & 45 & 450 & 200 & 2 \end{matrix}$

Discussion

7.	AP is the tangent to the circle with centre O and radius 8 cm. If AB = 9 cm, then find the length of the tangent AP.
Answer» AP is the tangent to the circle with centre O and radius 8 cm. If AB = 9 cm, then find the length of the tangent AP.

Discussion

8.	Write a rational number between under root 3 and 2
Answer» Write a rational number between under root 3 and 2

Discussion

9.

A survey was conducted by a group of students as a part of their environment awareness programme, in which they collected the following data regarding the number of plants in 20 houses in a locality. Find the mean number of plants per house. Number of plants 0 − 2 2 − 4 4 − 6 6 − 8 8 − 10 10 − 12 12 − 14 Number of houses 1 2 1 5 6 2 3 Which method did you use for finding the mean, and why?

Answer»

A survey was conducted by a group of students as a part of their environment awareness programme, in which they collected the following data regarding the number of plants in 20 houses in a locality. Find the mean number of plants per house.

Number of plants	0 − 2	2 − 4	4 − 6	6 − 8	8 − 10	10 − 12	12 − 14
Number of houses	1	2	1	5	6	2	3

Which method did you use for finding the mean, and why?

Discussion

10.	If the ratio of the corresponding sides of two similar triangles is 1:2, then the ratio of their corresponding heights is:
Answer» If the ratio of the corresponding sides of two similar triangles is $1 : 2,$ then the ratio of their corresponding heights is:

Discussion

11.	If A and B are square matrices of the same order and AB=3I, where A and B are non-singular matrices, then A−1 is equal to
Answer» If $A$ and $B$ are square matrices of the same order and $A B = 3 I$ , where $A$ and $B$ are non-singular matrices, then $A^{- 1}$ is equal to

Discussion

12.	A buket is in the form of a frustum of a cone. Its depth is 15 cm and the diameters of the top and the bottom are 56 cm and 42 cm respectively. Find how many litres of waer the bucket can hold. [Take π=22/7.]
Answer» A buket is in the form of a frustum of a cone. Its depth is 15 cm and the diameters of the top and the bottom are 56 cm and 42 cm respectively. Find how many litres of waer the bucket can hold. $[T a k e π = 22 / 7.]$

Discussion

13.	A conical dome of a palace is supported by a cylindrical pillar, both having the same radius. If the ratio of the height of the pillar to that of dome is 4:3, then what is the ratio of their volumes?
Answer» A conical dome of a palace is supported by a cylindrical pillar, both having the same radius. If the ratio of the height of the pillar to that of dome is 4:3, then what is the ratio of their volumes?

Discussion

14.	For the expression f(x) = a x2 + bx + c (a < 0), b2 > 4ac always. A real value x0 will lie in between the real roots of f(x) if
Answer» For the expression f(x) = a $x^{2}$ + bx + c (a < 0), $b^{2}$ > 4ac always. A real value $x_{0}$ will lie in between the real roots of f(x) if

Discussion

15.	If a,b and c are real number such that a2+b2+2c2=4a-2c+2bc-5,then find the possible value of (6a-4b-2c).
Answer» If a,b and c are real number such that a²+b²⁺2c²=4a-2c+2bc-5,then find the possible value of (6a-4b-2c).

Discussion

16.	From a solid cylinder whose height is 2.4 cm and diameter 1.4 cm , a conical cavity of the same height and same diameter is hollowed out. Find the total surface area of the remaining solid to the nearest cms
Answer» From a solid cylinder whose height is 2.4 cm and diameter 1.4 cm , a conical cavity of the same height and same diameter is hollowed out. Find the total surface area of the remaining solid to the nearest cms

Discussion

17.	If x = a sec θ cos ϕ, y = b sec θ sin ϕ and z = c tan θ, then x2a2+y2b2=(a) z2c2(b) 1-z2c2(c) z2c2-1(d) 1+z2c2
Answer» If x = a sec θ cos ϕ, y = b sec θ sin ϕ and z = c tan θ, then $\frac{x^{2}}{a^{2}} + \frac{y^{2}}{b^{2}}$ = (a) $\frac{z^{2}}{c^{2}}$ (b) $1 - \frac{z^{2}}{c^{2}}$ (c) $\frac{z^{2}}{c^{2}} - 1$ (d) $1 + \frac{z^{2}}{c^{2}}$

Discussion

18.	In the given figure △ ABC and △ DEF are similar, EF=3cm, BC=4cm, and area of triangle DEF=54cm2 find the area of △ ABC __ cm2
Answer» In the given figure $△$ ABC and $△$ DEF are similar, EF=3cm, BC=4cm, and area of triangle DEF=54 $c m^{2}$ find the area of $△$ ABC __ $c m^{2}$

18.

In the given figure △ ABC and △ DEF are similar, EF=3cm, BC=4cm, and area of triangle DEF=54cm2 find the area of △ ABC __ cm2

Answer»

In the given figure $△$ ABC and $△$ DEF are similar, EF=3cm, BC=4cm, and area of triangle DEF=54 $c m^{2}$ find the area of $△$ ABC

__

c m^{2}

Discussion

19.	Which of the following figures represents the polynomial whose number of zeros is 6?
Answer» Which of the following figures represents the polynomial whose number of zeros is 6?

Discussion

20.	A cone is cut through a plane parallel to its base and then the cone that is formed on one side of that plane is removed. The new part that is left over on the other side of the plane is called a _________.
Answer» A cone is cut through a plane parallel to its base and then the cone that is formed on one side of that plane is removed. The new part that is left over on the other side of the plane is called a _________.

Discussion

21.	In the given figure, AC is a diameter of the circle. Find the value of x.
Answer» In the given figure, AC is a diameter of the circle. Find the value of $x .$

Discussion

22.	The product of 2 consecutive natural numbers is 56. Solve this problem using completing the square method of quadratic equation. Write the equation obtained after completing the square and also write the smaller of the 2 numbers.
Answer» The product of 2 consecutive natural numbers is 56. Solve this problem using completing the square method of quadratic equation. Write the equation obtained after completing the square and also write the smaller of the 2 numbers.

Discussion

23.	Solve each of the following systems of equations by the method of cross-multiplication :57x+y+6x-y=538x+y+21x-y=9
Answer» Solve each of the following systems of equations by the method of cross-multiplication : $\frac{57}{x + y} + \frac{6}{x - y} = 5 \frac{38}{x + y} + \frac{21}{x - y} = 9$

Discussion

24.	In a △ABC, it is given that AD is the internal bisector of ∠A. If AB = 10 cm, AC = 14 cm and BC = 6 cm, the CD = ?(a) 4.8 cm(b) 3.5 cm(c) 7 cm(d) 10.5 cm
Answer» In a △ABC, it is given that AD is the internal bisector of ∠A. If AB = 10 cm, AC = 14 cm and BC = 6 cm, the CD = ? (a) 4.8 cm (b) 3.5 cm (c) 7 cm (d) 10.5 cm

Discussion

25.	a well planned lokhandwala complex in Mumbai has two straight roads perpendicular to each other.There are 5 lanes parallel to road 1.Each lane has 8 houses.Srinivas lives in the 6th house of the 5th lane and Alok lives in the 2nd house of the 2nd lane .What will be the shortest distance between their house (take distance between each house as 1 unit).
Answer» a well planned lokhandwala complex in Mumbai has two straight roads perpendicular to each other.There are 5 lanes parallel to road 1.Each lane has 8 houses.Srinivas lives in the 6th house of the 5th lane and Alok lives in the 2nd house of the 2nd lane .What will be the shortest distance between their house (take distance between each house as 1 unit).

Discussion

26.	Question 2In a diagnostic test in mathematics given to students, the following marks (out of 100) are recorded.46, 52, 48, 11, 41, 62, 54, 53, 96, 40, 98 and 44.Which average will be a good representative of the above data and why?
Answer» Question 2 In a diagnostic test in mathematics given to students, the following marks (out of 100) are recorded. 46, 52, 48, 11, 41, 62, 54, 53, 96, 40, 98 and 44. Which average will be a good representative of the above data and why?

Discussion

27.	The internal and external radii of a hollow sphere are 3 cm and 5 cm respectively The sphere is melted to form a solid cylinder of height 22/3 cm. Find the diameter and curved surface area of the cylinder.
Answer» The internal and external radii of a hollow sphere are 3 cm and 5 cm respectively The sphere is melted to form a solid cylinder of height 22/3 cm. Find the diameter and curved surface area of the cylinder.

Discussion

28.	In the given figure, AB and DE are perpendicular to BC. If AB = 9 cm, DE = 3 cm and AC = 24 cm, calculate AD. [4 MARKS]
Answer» In the given figure, AB and DE are perpendicular to BC. If AB = 9 cm, DE = 3 cm and AC = 24 cm, calculate AD. [4 MARKS]

Discussion

29.	If P=[1234] and X=[yx], then PX=[45]. Find the value of y?-3
Answer» If $P = [\begin{matrix} 1 & 2 3 & 4 \end{matrix}]$ and $X = [\begin{matrix} y x \end{matrix}]$ , then $P X = [\begin{matrix} 45 \end{matrix}]$ . Find the value of y? -3

Discussion

30.	If Q.No. 14, c =(a) b(b) 2b(c) 2b2(d) −2b
Answer» If Q.No. 14, c = (a) b (b) 2b (c) 2b² (d) −2b

Discussion

31.	Find the roots of the following quadratic equations (if they exist) by the method of completing the square.3x2+10x+73=0
Answer» Find the roots of the following quadratic equations (if they exist) by the method of completing the square. $\sqrt{3} x^{2} + 10 x + 7 \sqrt{3} = 0$

Discussion

32.	If y = 12 (3x+7) is rewritten in the form ax + by + c = 0, which of the following is/are true regarding the values of a, b and c?
Answer» If y = $\frac{1}{2}$ (3x+7) is rewritten in the form ax + by + c = 0, which of the following is/are true regarding the values of a, b and c?

Discussion

33.	Question 1 Show that the cube of a positive integer of the form 6q + r, q is an integer and r = 0, 1, 2, 3, 4, 5 is also of the form 6m + r.
Answer» Question 1 Show that the cube of a positive integer of the form 6q + r, q is an integer and r = 0, 1, 2, 3, 4, 5 is also of the form 6m + r.

Discussion

34.

The given distribution shows the number of wickets taken by the bowlers in one-day international cricket matches: Number of wickets Less than 15 Less than 30 Less than 45 Less than 60 Less than 75 Less than 90 Less than 105 Less than 120 Number of bowlers 2 5 9 17 39 54 70 80 Draw a 'less than type' ogive from the above data. Find the median.

Answer» The given distribution shows the number of wickets taken by the bowlers in one-day international cricket matches:

Number of wickets	Less than 15	Less than 30	Less than 45	Less than 60	Less than 75	Less than 90	Less than 105	Less than 120
Number of bowlers	2	5	9	17	39	54	70	80

Draw a 'less than type' ogive from the above data. Find the median.

Discussion

35.	The surface area of a solid sphere is increased by 21% without changing it's shape. Find the percentage increase in its: I)radius 2) volume
Answer» The surface area of a solid sphere is increased by 21% without changing it's shape. Find the percentage increase in its: I)radius 2) volume

35.

The surface area of a solid sphere is increased by 21% without changing it's shape. Find the percentage increase in its: I)radius 2) volume

Answer»

The surface area of a solid sphere is increased by 21% without changing it's shape. Find the percentage increase in its:

I)radius

2) volume

Discussion

36.

Compare the modal ages of two groups of students appearing for an entrance test: Age (in years): 16−18 18−20 20−22 22−24 24−26 Group A: 50 78 46 28 23 Group B: 54 89 40 25 17

Answer» Compare the modal ages of two groups of students appearing for an entrance test:

Age (in years):	16−18	18−20	20−22	22−24	24−26
Group A:	50	78	46	28	23
Group B:	54	89	40	25	17

Discussion

37.	What is the value of x in the figure if BD < DC?4
Answer» What is the value of x in the figure if BD < DC? 4

Discussion

38.	Find the slope of the line perpendicular to AB if :(i) A = (0, -5) and B = (-2, 4)(ii) A = (3, -2) and B = (-1, 2)
Answer» Find the slope of the line perpendicular to AB if : (i) A = (0, -5) and B = (-2, 4) (ii) A = (3, -2) and B = (-1, 2)

38.

Find the slope of the line perpendicular to AB if :(i) A = (0, -5) and B = (-2, 4)(ii) A = (3, -2) and B = (-1, 2)

Answer»

Find the slope of the line perpendicular to AB if :

(i) A = (0, -5) and B = (-2, 4)

(ii) A = (3, -2) and B = (-1, 2)

Discussion

39.	Kumar and Kavya together have 45 marbles. Both of them lost 5 marbles each, and the product of the number of marbles they now have is 124. Representing the problem mathematically gives the quadratic equation _____.
Answer» Kumar and Kavya together have 45 marbles. Both of them lost 5 marbles each, and the product of the number of marbles they now have is 124. Representing the problem mathematically gives the quadratic equation _____.

Discussion

40.	Which of the following equations has the roots 1 and 2?
Answer» Which of the following equations has the roots 1 and 2?

Discussion

41.	Find the value of x satisfying the equation logax+log√ax+log3√ax+..........loga√ax = a+12.
Answer» Find the value of x satisfying the equation $l o g_{a} x + l o g_{\sqrt{a}} x + l o g_{\sqrt[3]{a}} x + . . . . . . . . . . l o g_{\sqrt[a]{a}} x$ = $\frac{a + 1}{2}$ .

Discussion

42.	Question 8Find the sum of first 51 terms of an AP whose second and third terms are 14 and 18 respectively.
Answer» Question 8 Find the sum of first 51 terms of an AP whose second and third terms are 14 and 18 respectively.

Discussion

43.	Two tangents PA and PB are drawn to the circle with centre O, such that ∠APB =120∘. What is the relation between OP and AP?
Answer» Two tangents PA and PB are drawn to the circle with centre O, such that $∠$ APB $= 120^{\circ}$ . What is the relation between OP and AP?

43.

Two tangents PA and PB are drawn to the circle with centre O, such that ∠APB =120∘. What is the relation between OP and AP?

Answer»

Two tangents PA and PB are drawn to the circle with centre O, such that $∠$ APB $= 120^{\circ}$ . What is the relation between OP and AP?

Discussion

44.	A train travels at a certain average speed for a distance of 63 km and then travels a distance of 72 km at an average speed of 6 km/hr more than than its original speed. If it takes 3 hours to complete the total journey, what is the original average speed?
Answer» A train travels at a certain average speed for a distance of 63 km and then travels a distance of 72 km at an average speed of 6 km/hr more than than its original speed. If it takes 3 hours to complete the total journey, what is the original average speed?

Discussion

45.	If 2x > 16; then which of the following statement holds true for the given inequation.
Answer» If 2x > 16; then which of the following statement holds true for the given inequation.

Discussion

46.	Using the section formula, show that the pointsA(1, 0), B(5, 3), C(2, 7) and D(-2, 4) are vertices of a parallelogram taken in order.
Answer» Using the section formula, show that the points A(1, 0), B(5, 3), C(2, 7) and D(-2, 4) are vertices of a parallelogram taken in order.

Discussion

47.	From a point P outside a circle, with centre O, tangents PA and PB are drawn. Prove that : (i) ∠ AOP = ∠ BOP, (ii) OP is the ⊥ bisector of chord AB.
Answer» From a point P outside a circle, with centre O, tangents PA and PB are drawn. Prove that : (i) $∠ A O P = ∠ B O P$ , (ii) OP is the $⊥$ bisector of chord AB.

47.

From a point P outside a circle, with centre O, tangents PA and PB are drawn. Prove that : (i) ∠ AOP = ∠ BOP, (ii) OP is the ⊥ bisector of chord AB.

Answer»

From a point P outside a circle, with centre O, tangents PA and PB are drawn. Prove that :

(i) $∠ A O P = ∠ B O P$ ,

(ii) OP is the $⊥$ bisector of chord AB.

Discussion

48.	Two dice are thrown simultaneously. The probability of getting a multiple of 2 on one die and a prime number on the other die is
Answer» Two dice are thrown simultaneously. The probability of getting a multiple of 2 on one die and a prime number on the other die is

Discussion

49.	Write a program to find the sum of digits of an integer number, input by the user.
Answer» Write a program to find the sum of digits of an integer number, input by the user.

Discussion

50.	10. Prove that tan square A +cot square A =sec square A cosec square A-2
Answer» 10. Prove that tan square A +cot square A =sec square A cosec square A-2

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

A bag contains 5 red balls and some blue balls. If the probability of drawing a blue ball is double that of a red ball, determine the number of blue balls in the bag.

The curved surface area of a conical tomb is 528 sq. m and radius is 8 m. Find the height of the tomb.

In a G.P.(a) The first term is and sixth term is , find r.(b) If T8 = 32 and r = 2, find a.(c) Which term of the G.P. 1, 2, 4 …….. will be 256.

Draw a circle of any radius. From a point outside the circle, draw tangents to the circle inclined at 45∘ to each other.

A circle may have…….

Find the mean of the step deviations: Class intervalFrequency(fi)Class mark(xi)di=xi−aui=dih0−1004050−200−2100−20039150−100−1200−3003425000300−400303501001400−500454502002

AP is the tangent to the circle with centre O and radius 8 cm. If AB = 9 cm, then find the length of the tangent AP.

Write a rational number between under root 3 and 2

If the ratio of the corresponding sides of two similar triangles is 1:2, then the ratio of their corresponding heights is:

If A and B are square matrices of the same order and AB=3I, where A and B are non-singular matrices, then A−1 is equal to

A buket is in the form of a frustum of a cone. Its depth is 15 cm and the diameters of the top and the bottom are 56 cm and 42 cm respectively. Find how many litres of waer the bucket can hold. [Take π=22/7.]

A conical dome of a palace is supported by a cylindrical pillar, both having the same radius. If the ratio of the height of the pillar to that of dome is 4:3, then what is the ratio of their volumes?

For the expression f(x) = a x2 + bx + c (a &lt; 0), b2 &gt; 4ac always. A real value x0 will lie in between the real roots of f(x) if

If a,b and c are real number such that a2+b2+2c2=4a-2c+2bc-5,then find the possible value of (6a-4b-2c).

From a solid cylinder whose height is 2.4 cm and diameter 1.4 cm , a conical cavity of the same height and same diameter is hollowed out. Find the total surface area of the remaining solid to the nearest cms

If x = a sec θ cos ϕ, y = b sec θ sin ϕ and z = c tan θ, then x2a2+y2b2=(a) z2c2(b) 1-z2c2(c) z2c2-1(d) 1+z2c2

In the given figure △ ABC and △ DEF are similar, EF=3cm, BC=4cm, and area of triangle DEF=54cm2 find the area of △ ABC __ cm2

Which of the following figures represents the polynomial whose number of zeros is 6?

A cone is cut through a plane parallel to its base and then the cone that is formed on one side of that plane is removed. The new part that is left over on the other side of the plane is called a _________.

In the given figure, AC is a diameter of the circle. Find the value of x.

The product of 2 consecutive natural numbers is 56. Solve this problem using completing the square method of quadratic equation. Write the equation obtained after completing the square and also write the smaller of the 2 numbers.

Solve each of the following systems of equations by the method of cross-multiplication :57x+y+6x-y=538x+y+21x-y=9

In a △ABC, it is given that AD is the internal bisector of ∠A. If AB = 10 cm, AC = 14 cm and BC = 6 cm, the CD = ?(a) 4.8 cm(b) 3.5 cm(c) 7 cm(d) 10.5 cm

Question 2In a diagnostic test in mathematics given to students, the following marks (out of 100) are recorded.46, 52, 48, 11, 41, 62, 54, 53, 96, 40, 98 and 44.Which average will be a good representative of the above data and why?

The internal and external radii of a hollow sphere are 3 cm and 5 cm respectively The sphere is melted to form a solid cylinder of height 22/3 cm. Find the diameter and curved surface area of the cylinder.

In the given figure, AB and DE are perpendicular to BC. If AB = 9 cm, DE = 3 cm and AC = 24 cm, calculate AD. [4 MARKS]

If P=[1234] and X=[yx], then PX=[45]. Find the value of y?-3

If Q.No. 14, c =(a) b(b) 2b(c) 2b2(d) −2b

Find the roots of the following quadratic equations (if they exist) by the method of completing the square.3x2+10x+73=0

If y = 12 (3x+7) is rewritten in the form ax + by + c = 0, which of the following is/are true regarding the values of a, b and c?

Question 1 Show that the cube of a positive integer of the form 6q + r, q is an integer and r = 0, 1, 2, 3, 4, 5 is also of the form 6m + r.

The surface area of a solid sphere is increased by 21% without changing it's shape. Find the percentage increase in its: I)radius 2) volume

Compare the modal ages of two groups of students appearing for an entrance test: Age (in years): 16−18 18−20 20−22 22−24 24−26 Group A: 50 78 46 28 23 Group B: 54 89 40 25 17

What is the value of x in the figure if BD < DC?4

Find the slope of the line perpendicular to AB if :(i) A = (0, -5) and B = (-2, 4)(ii) A = (3, -2) and B = (-1, 2)

Kumar and Kavya together have 45 marbles. Both of them lost 5 marbles each, and the product of the number of marbles they now have is 124. Representing the problem mathematically gives the quadratic equation _____.

Which of the following equations has the roots 1 and 2?

Find the value of x satisfying the equation logax+log√ax+log3√ax+..........loga√ax = a+12.

Question 8Find the sum of first 51 terms of an AP whose second and third terms are 14 and 18 respectively.

Two tangents PA and PB are drawn to the circle with centre O, such that ∠APB =120∘. What is the relation between OP and AP?

A train travels at a certain average speed for a distance of 63 km and then travels a distance of 72 km at an average speed of 6 km/hr more than than its original speed. If it takes 3 hours to complete the total journey, what is the original average speed?

If 2x &gt; 16; then which of the following statement holds true for the given inequation.

Using the section formula, show that the pointsA(1, 0), B(5, 3), C(2, 7) and D(-2, 4) are vertices of a parallelogram taken in order.

From a point P outside a circle, with centre O, tangents PA and PB are drawn. Prove that : (i) ∠ AOP = ∠ BOP, (ii) OP is the ⊥ bisector of chord AB.

Two dice are thrown simultaneously. The probability of getting a multiple of 2 on one die and a prime number on the other die is

Write a program to find the sum of digits of an integer number, input by the user.

10. Prove that tan square A +cot square A =sec square A cosec square A-2

For the expression f(x) = a x2 + bx + c (a < 0), b2 > 4ac always. A real value x0 will lie in between the real roots of f(x) if

If 2x > 16; then which of the following statement holds true for the given inequation.