32581 + Interview Questions in Mathematics

1.	The longest side of a triangle is three times the shortest side and the third side is 2 cm shorter than the longest side if the perimeter of the triangles at least 61 cm, Find the minimum length of the shortest-side.
Answer» The longest side of a triangle is three times the shortest side and the third side is 2 cm shorter than the longest side if the perimeter of the triangles at least 61 cm, Find the minimum length of the shortest-side.

Discussion

2.	The cost of 2 kg of apples and 1 kg of grapes on a day was found to be Rs. 160. The cost of 4 kg of apples and 3 kg of grapes is Rs. 360. Find the cost of per kg apples and grapes.
Answer» The cost of $2 k g$ of apples and $1 k g$ of grapes on a day was found to be $R s . 160$ . The cost of $4 k g$ of apples and $3 k g$ of grapes is $R s . 360$ . Find the cost of per kg apples and grapes.

Discussion

3.	Find the quadratic equation whose solution set is (2, -3)
Answer» Find the quadratic equation whose solution set is (2, -3)

Discussion

4.	A train travels at a certain average speed for a distance of 63 km and then Travels at a distance of 72 km at an average speed of 6 km per hour more than its original speed if it takes 3 hours to complete total journey what is the original speed ? My solution : 63/x + 72/(x+6) = 3 After solving I got the answer => x=42 I wrote the answer as the train's original average speed is 42km/hr . Is it correct ??????
Answer» A train travels at a certain average speed for a distance of 63 km and then Travels at a distance of 72 km at an average speed of 6 km per hour more than its original speed if it takes 3 hours to complete total journey what is the original speed ? My solution : 63/x + 72/(x+6) = 3 After solving I got the answer => x=42 I wrote the answer as the train's original average speed is 42km/hr . Is it correct ??????

4.

A train travels at a certain average speed for a distance of 63 km and then Travels at a distance of 72 km at an average speed of 6 km per hour more than its original speed if it takes 3 hours to complete total journey what is the original speed ? My solution : 63/x + 72/(x+6) = 3 After solving I got the answer => x=42 I wrote the answer as the train's original average speed is 42km/hr . Is it correct ??????

Answer»

A train travels at a certain average speed for a distance of 63 km and then Travels at a distance of 72 km at an average speed of 6 km per hour more than its original speed if it takes 3 hours to complete total journey what is the original speed ?

My solution :

63/x + 72/(x+6) = 3

After solving I got the answer => x=42

I wrote the answer as the train's original average speed is 42km/hr .

Is it correct ??????

Discussion

5.	The diagonals of a quadrilateral are of lengths 6cm and 8cm. If the diagonals bisect each other at right angles, what is the length side of the quadrilateral?
Answer» The diagonals of a quadrilateral are of lengths 6cm and 8cm. If the diagonals bisect each other at right angles, what is the length side of the quadrilateral?

Discussion

6.	The value of the polynomial: x2 - 3x + 5 at x=3 is
Answer» The value of the polynomial: $x^{2}$ - 3x + 5 at x=3 is

Discussion

7.	Two squares have sides x cm and (x+4) cm. The sum of their areas is 656cm2. Find the sides of the squares.
Answer» Two squares have sides x cm and (x+4) cm. The sum of their areas is $656 c m^{2} .$ Find the sides of the squares.

Discussion

8.	If A = 60∘ and B=60∘, verify that: (i) sin (A - B) = sin A cos B - cos A sin B (ii) cos (A - B) = cos A cos B + sin A sin B (iii) tan (A - B) = tan A−tan B1+tam A tan B
Answer» If A = $60^{\circ} a n d B = 60^{\circ},$ verify that: (i) sin (A - B) = sin A cos B - cos A sin B (ii) cos (A - B) = cos A cos B + sin A sin B (iii) tan (A - B) = $\frac{t a n A - t a n B}{1 + t a m A t a n B}$

8.

If A = 60∘ and B=60∘, verify that: (i) sin (A - B) = sin A cos B - cos A sin B (ii) cos (A - B) = cos A cos B + sin A sin B (iii) tan (A - B) = tan A−tan B1+tam A tan B

Answer»

If A = $60^{\circ} a n d B = 60^{\circ},$ verify that:

(i) sin (A - B) = sin A cos B - cos A sin B

(ii) cos (A - B) = cos A cos B + sin A sin B

(iii) tan (A - B) = $\frac{t a n A - t a n B}{1 + t a m A t a n B}$

Discussion

9.	1/6x+1/9x=x-12 Need answer
Answer» 1/6x+1/9x=x-12 Need answer

9.

1/6x+1/9x=x-12 Need answer

Answer»

1/6x+1/9x=x-12

Need answer

Discussion

10.	Find the roots of the following quadratic equations by spplittis the middle term method. 2x^2-x+1/8=0
Answer» Find the roots of the following quadratic equations by spplittis the middle term method. 2x^2-x+1/8=0

Discussion

11.	Manish, Rahul and Bharti have some stones with each of them. Five times the number of stones with Rahul equals seven times the number of stones with Manish while five times the number of stones with Manish equals seven times the number of stones with Bharti. What is the minimum number of stones that can be there with all three of them put together? ___
Answer» Manish, Rahul and Bharti have some stones with each of them. Five times the number of stones with Rahul equals seven times the number of stones with Manish while five times the number of stones with Manish equals seven times the number of stones with Bharti. What is the minimum number of stones that can be there with all three of them put together? ___

Discussion

12.	A hollow cylindrical copper pipe is 21 dm long. If its outer and inner diameters are of 10 cm and 6 cm respectively, find the volume of the copper used in making the pipe. [Take π=227] [3 MARKS]
Answer» A hollow cylindrical copper pipe is 21 dm long. If its outer and inner diameters are of 10 cm and 6 cm respectively, find the volume of the copper used in making the pipe. [Take $π = \frac{22}{7}$ ] [3 MARKS]

Discussion

13.	The 34th part of a conical vessel of internal radius 5 cm and height 24 cm is full of water.The water is emptied into a cylindrical vessel with internal radius 10 cm. Find the height of water in cylindrical vessel.
Answer» The $\frac{3}{4}$ th part of a conical vessel of internal radius 5 cm and height 24 cm is full of water.The water is emptied into a cylindrical vessel with internal radius 10 cm. Find the height of water in cylindrical vessel.

Discussion

14.	Prove the following trigonometric identities: tan2A1+tan2A+cot2A1+cot2A=1
Answer» Prove the following trigonometric identities: $\frac{t a n^{2} A}{1 + t a n^{2} A} + \frac{c o t^{2} A}{1 + c o t^{2} A} = 1$

14.

Prove the following trigonometric identities: tan2A1+tan2A+cot2A1+cot2A=1

Answer»

Prove the following trigonometric identities:

$\frac{t a n^{2} A}{1 + t a n^{2} A} + \frac{c o t^{2} A}{1 + c o t^{2} A} = 1$

Discussion

15.	If A, B, C are the interior angles of a triangle ABC, prove that i) tan(C+A2)=cotB2
Answer» If A, B, C are the interior angles of a triangle ABC, prove that i) $t a n (\frac{C + A}{2}) = c o t \frac{B}{2}$

Discussion

16.	For what value of k is the polynomial 2x2+3x3+2xk2+3x+6 exactly divisible by (x+2). Show that (x+3) is a factor of x3+x2-4x+6
Answer» For what value of k is the polynomial 2x²+3x³+2xk²+3x+6 exactly divisible by (x+2). Show that (x+3) is a factor of x³+x²-4x+6

Discussion

17.	In the given figure, ABCD is a square of side 7 cm, DPBA and DQBC are quadrants of circles each of the radius 7 cm. Find the area of shaded region.
Answer» In the given figure, ABCD is a square of side 7 cm, DPBA and DQBC are quadrants of circles each of the radius 7 cm. Find the area of shaded region.

17.

In the given figure, ABCD is a square of side 7 cm, DPBA and DQBC are quadrants of circles each of the radius 7 cm. Find the area of shaded region.

Answer»

In the given figure, ABCD is a square of side 7 cm, DPBA and DQBC are quadrants of circles each of the radius 7 cm. Find the area of shaded region.

Discussion

18.	To verify if a quadratic equation has equal roots, we prove the discrimant to be equal to zero. So how do we prove if a quadratic equation has no real roots?
Answer» To verify if a quadratic equation has equal roots, we prove the discrimant to be equal to zero. So how do we prove if a quadratic equation has no real roots?

Discussion

19.	Which sentence is grammatically incorrect?
Answer» Which sentence is grammatically incorrect?

Discussion

20.	A solid cone of height 8 cm and base radius 6 cm is melted and recast into identical cones,each of height 2 cm and diameter 1 cm.Find the number of cones formed.
Answer» A solid cone of height 8 cm and base radius 6 cm is melted and recast into identical cones,each of height 2 cm and diameter 1 cm.Find the number of cones formed.

Discussion

21.	A cylindrical tub of radius16cm contains water to a depth of 30cm. A spherical iron ball is dropped into the tub and thus level of water is raised by9cm. What is the radius of the ball?
Answer» A cylindrical tub of radius $16 c m$ contains water to a depth of $30 c m$ . A spherical iron ball is dropped into the tub and thus level of water is raised by $9 c m$ . What is the radius of the ball?

Discussion

22.	Find by construction the centre of a circle, using only a 60-30 setsquare and a pencil
Answer» Find by construction the centre of a circle, using only a 60-30 setsquare and a pencil

Discussion

23.	Candidates of four schools appear in a mathematics test. The data were as follows: SchoolNo. of CandidatesAverage ScoreI6075II4880IIINot available55IV4050 If the average score of the candidates of all the four schools is 66, find the number of candidates that appeared from school III.
Answer» Candidates of four schools appear in a mathematics test. The data were as follows: $\begin{matrix} S c h o o l & N o . o f C a n d i d a t e s & A v e r a g e S c o r e I & 60 & 75 I I & 48 & 80 I I I & N o t a v a i l a b l e & 55 I V & 40 & 50 \end{matrix}$ If the average score of the candidates of all the four schools is 66, find the number of candidates that appeared from school III.

Discussion

24.	If x tan 45 degree Cos 60 degree is equal to sin 60 degree Cot 60 degree find the value of x
Answer» If x tan 45 degree Cos 60 degree is equal to sin 60 degree Cot 60 degree find the value of x

Discussion

25.	Solve each of the following quadratic equations: x−1x−2+x−3x−4=313,x≠2,4
Answer» Solve each of the following quadratic equations: $\frac{x - 1}{x - 2} + \frac{x - 3}{x - 4} = 3 \frac{1}{3}, x \neq 2, 4$

Discussion

26.	Find four consecutive terms in an AP whose sum is 12 and some of 3rd and 4th term is 14 (assume that the four consecutive terms are: a-d, a, a+d, a+2d)
Answer» Find four consecutive terms in an AP whose sum is 12 and some of 3rd and 4th term is 14 (assume that the four consecutive terms are: a-d, a, a+d, a+2d)

Discussion

27.	The curved surface area of one cone is twice that of the other while the slant height of the latter is twice that of the former.The ratio of their radii is
Answer» The curved surface area of one cone is twice that of the other while the slant height of the latter is twice that of the former.The ratio of their radii is

Discussion

28.	4x2+4x+1
Answer» 4x²+4x+1

Discussion

29.	If sin 5A =cos 4A find A if 5A and 4A are acute angle
Answer» If sin 5A =cos 4A find A if 5A and 4A are acute angle

Discussion

30.	The diameter of a sphere is 42 cm. It is melted and drawn into a cylindrical wire of diameter 28 cm. Find the length of the wire.
Answer» The diameter of a sphere is 42 cm. It is melted and drawn into a cylindrical wire of diameter 28 cm. Find the length of the wire.

Discussion

31.	Solve 5x+1+52−x=53+1
Answer» Solve $5^{x + 1} + 5^{2 - x} = 5^{3} + 1$

Discussion

32.	If x=−13 is the zero of the polynomial p(x)=27x3−ax2−x+3, then value of a.
Answer» If $x = \frac{- 1}{3}$ is the zero of the polynomial $p (x) = 27 x^{3} - a x^{2} - x + 3$ , then value of $a .$

Discussion

33.	A number x is selcted at random from the numbers 1,2,3,4 .Another number y is selected at random from the numbers 1,4,9,16.Find the probability that product of x and y is less than 25.
Answer» A number x is selcted at random from the numbers 1,2,3,4 .Another number y is selected at random from the numbers 1,4,9,16.Find the probability that product of x and y is less than 25.

Discussion

34.	the sum of the digit of a two digit number is 9. the number obtained by interchanging its digit is 9 less than thrice the original number find the number
Answer» the sum of the digit of a two digit number is 9. the number obtained by interchanging its digit is 9 less than thrice the original number find the number

Discussion

35.	An electric pole is 10 metres high. If its shadow is 10root3 metres in length, find the elevation of the Sun
Answer» An electric pole is 10 metres high. If its shadow is 10root3 metres in length, find the elevation of the Sun

Discussion

36.	What is the value of Sin42•
Answer» What is the value of Sin42•

Discussion

37.	If the question is 11x + 15y +23 = 0 , 7x -2y -20= 0 Find x and y. In any this type of sum how can we now that first we have to find the value of x or y .
Answer» If the question is 11x + 15y +23 = 0 , 7x -2y -20= 0 Find x and y. In any this type of sum how can we now that first we have to find the value of x or y .

Discussion

38.	Question 13 Ten observations 6, 14, 15, 17, x+1, 2x – 13, 30, 32, 34 and 43 are written in an ascending order. The median of the data is 24. Find the value of x.
Answer» Question 13 Ten observations 6, 14, 15, 17, x+1, 2x – 13, 30, 32, 34 and 43 are written in an ascending order. The median of the data is 24. Find the value of x.

Discussion

39.	One leg of a right angle triangle exceeds the other leg by 4 inches.If the length of the hypotenuse is 20 inches` , find the length of the shorter leg of the triangle.
Answer» One leg of a right angle triangle exceeds the other leg by 4 inches.If the length of the hypotenuse is 20 inches` , find the length of the shorter leg of the triangle.

Discussion

40.	Find q and r for the following pairs of positive integers a and b satisfying a=bq+r.(1) a=13,b=3 (2) a=8,b=80 (3) a=125,b=5 (4) a=132,b=11.
Answer» Find $q$ and $r$ for the following pairs of positive integers $a$ and $b$ satisfying $a = b q + r$ . (1) $a = 13, b = 3$ (2) $a = 8, b = 80$ (3) $a = 125, b = 5$ (4) $a = 132, b = 11$ .

40.

Find q and r for the following pairs of positive integers a and b satisfying a=bq+r.(1) a=13,b=3 (2) a=8,b=80 (3) a=125,b=5 (4) a=132,b=11.

Answer»

Find $q$ and $r$ for the following pairs of positive integers $a$ and $b$ satisfying $a = b q + r$ .

(1) $a = 13, b = 3$

(2) $a = 8, b = 80$

(3) $a = 125, b = 5$

(4) $a = 132, b = 11$ .

Discussion

41.	A trader was moving along a road selling eggs. An idler who didn’t have much work to do, started to get the trader into a wordy duel. This grew into a fight, he pulled the basket with eggs and dashed it on the floor. The eggs broke. The trader requested the Panchayat to ask the idler to pay for the broken eggs. The Panchayat asked the trader how many eggs were broken. He gave the following response: If counted in pairs, one will remain; If counted in threes, two will remain; If counted in fours, three will remain; If counted in fives, four will remain; If counted in sixes, five will remain; If counted in sevens, nothing will remain; My basket cannot accomodate more than 150 eggs. So, how many eggs were there?
Answer» A trader was moving along a road selling eggs. An idler who didn’t have much work to do, started to get the trader into a wordy duel. This grew into a fight, he pulled the basket with eggs and dashed it on the floor. The eggs broke. The trader requested the Panchayat to ask the idler to pay for the broken eggs. The Panchayat asked the trader how many eggs were broken. He gave the following response: If counted in pairs, one will remain; If counted in threes, two will remain; If counted in fours, three will remain; If counted in fives, four will remain; If counted in sixes, five will remain; If counted in sevens, nothing will remain; My basket cannot accomodate more than 150 eggs. So, how many eggs were there?

Discussion

42.	If A = ⎧⎪⎪⎪⎩23−95⎫⎪⎪⎪⎭ − ⎧⎪⎪⎪⎩157−1⎫⎪⎪⎪⎭ , then find the additive inverse of A
Answer» If $A = ⎧ ⎪⎪⎪ ⎩ \begin{matrix} 2 & 3 - 9 & 5 \end{matrix} ⎫ ⎪⎪⎪ ⎭ - ⎧ ⎪⎪⎪ ⎩ \begin{matrix} 1 & 5 7 & - 1 \end{matrix} ⎫ ⎪⎪⎪ ⎭$ , then find the additive inverse of $A$

Discussion

43.	In the following figure, if DP = 5 cm, DE = 15 cm, DQ = 6 cm and DF = 18 cm, then
Answer» In the following figure, if DP = 5 cm, DE = 15 cm, DQ = 6 cm and DF = 18 cm, then

43.

In the following figure, if DP = 5 cm, DE = 15 cm, DQ = 6 cm and DF = 18 cm, then

Answer»

In the following figure, if DP = 5 cm, DE = 15 cm, DQ = 6 cm and DF = 18 cm, then

Discussion

44.	The following pair of linear equations 3x - 2y + 5 = 0, 5x + 7y = 2 will have
Answer» The following pair of linear equations 3x - 2y + 5 = 0, 5x + 7y = 2 will have

Discussion

45.	If the polynomial x4-6x3+16x2-25x+10 is divided by another polynomial x2-2x+k,the remainder comes out to be x+a,find k and a
Answer» If the polynomial x⁴-6x³+16x²-25x+10 is divided by another polynomial x²-2x+k,the remainder comes out to be x+a,find k and a

Discussion

46.	As. 2700 is divided between Asha, Babita and Sushmitha such that Asha gets Rs. 300 more than Babita and Sushmitha gets half of what Ashamed gets. How much do they each get?
Answer» As. 2700 is divided between Asha, Babita and Sushmitha such that Asha gets Rs. 300 more than Babita and Sushmitha gets half of what Ashamed gets. How much do they each get?

Discussion

47.	What is the ratio between the base edge, slant height and height of a square pyramid having equal edges?
Answer» What is the ratio between the base edge, slant height and height of a square pyramid having equal edges?

Discussion

48.	Find the value of m if the points A (5,1), B(-2,-3) and C(8,2m) are collinear m= _ (Enter in the form a/b if you obtain a fraction)
Answer» Find the value of m if the points A (5,1), B(-2,-3) and C(8,2m) are collinear m= _ (Enter in the form a/b if you obtain a fraction)

Discussion

49.	A well of diameter 4 m is dug 14 m deep. The earth taken out is spread evenly all around the well to form a 40 cm high embankment. Find the width of the embankment.
Answer» A well of diameter 4 m is dug 14 m deep. The earth taken out is spread evenly all around the well to form a 40 cm high embankment. Find the width of the embankment.

Discussion

50.	A dice is thrown once. Find the probability of getting a factor of 6.
Answer» A dice is thrown once. Find the probability of getting a factor of 6.

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

The longest side of a triangle is three times the shortest side and the third side is 2 cm shorter than the longest side if the perimeter of the triangles at least 61 cm, Find the minimum length of the shortest-side.

The cost of 2 kg of apples and 1 kg of grapes on a day was found to be Rs. 160. The cost of 4 kg of apples and 3 kg of grapes is Rs. 360. Find the cost of per kg apples and grapes.

Find the quadratic equation whose solution set is (2, -3)

The diagonals of a quadrilateral are of lengths 6cm and 8cm. If the diagonals bisect each other at right angles, what is the length side of the quadrilateral?

The value of the polynomial: x2 - 3x + 5 at x=3 is

Two squares have sides x cm and (x+4) cm. The sum of their areas is 656cm2. Find the sides of the squares.

If A = 60∘ and B=60∘, verify that: (i) sin (A - B) = sin A cos B - cos A sin B (ii) cos (A - B) = cos A cos B + sin A sin B (iii) tan (A - B) = tan A−tan B1+tam A tan B

1/6x+1/9x=x-12 Need answer

Find the roots of the following quadratic equations by spplittis the middle term method. 2x^2-x+1/8=0

A hollow cylindrical copper pipe is 21 dm long. If its outer and inner diameters are of 10 cm and 6 cm respectively, find the volume of the copper used in making the pipe. [Take π=227] [3 MARKS]

The 34th part of a conical vessel of internal radius 5 cm and height 24 cm is full of water.The water is emptied into a cylindrical vessel with internal radius 10 cm. Find the height of water in cylindrical vessel.

Prove the following trigonometric identities: tan2A1+tan2A+cot2A1+cot2A=1

If A, B, C are the interior angles of a triangle ABC, prove that i) tan(C+A2)=cotB2

For what value of k is the polynomial 2x2+3x3+2xk2+3x+6 exactly divisible by (x+2). Show that (x+3) is a factor of x3+x2-4x+6

In the given figure, ABCD is a square of side 7 cm, DPBA and DQBC are quadrants of circles each of the radius 7 cm. Find the area of shaded region.

To verify if a quadratic equation has equal roots, we prove the discrimant to be equal to zero. So how do we prove if a quadratic equation has no real roots?

Which sentence is grammatically incorrect?

A solid cone of height 8 cm and base radius 6 cm is melted and recast into identical cones,each of height 2 cm and diameter 1 cm.Find the number of cones formed.

A cylindrical tub of radius16cm contains water to a depth of 30cm. A spherical iron ball is dropped into the tub and thus level of water is raised by9cm. What is the radius of the ball?

Find by construction the centre of a circle, using only a 60-30 setsquare and a pencil

Candidates of four schools appear in a mathematics test. The data were as follows: SchoolNo. of CandidatesAverage ScoreI6075II4880IIINot available55IV4050 If the average score of the candidates of all the four schools is 66, find the number of candidates that appeared from school III.

If x tan 45 degree Cos 60 degree is equal to sin 60 degree Cot 60 degree find the value of x

Solve each of the following quadratic equations: x−1x−2+x−3x−4=313,x≠2,4

Find four consecutive terms in an AP whose sum is 12 and some of 3rd and 4th term is 14 (assume that the four consecutive terms are: a-d, a, a+d, a+2d)

The curved surface area of one cone is twice that of the other while the slant height of the latter is twice that of the former.The ratio of their radii is

4x2+4x+1

If sin 5A =cos 4A find A if 5A and 4A are acute angle

The diameter of a sphere is 42 cm. It is melted and drawn into a cylindrical wire of diameter 28 cm. Find the length of the wire.

Solve 5x+1+52−x=53+1

If x=−13 is the zero of the polynomial p(x)=27x3−ax2−x+3, then value of a.

A number x is selcted at random from the numbers 1,2,3,4 .Another number y is selected at random from the numbers 1,4,9,16.Find the probability that product of x and y is less than 25.

the sum of the digit of a two digit number is 9. the number obtained by interchanging its digit is 9 less than thrice the original number find the number

An electric pole is 10 metres high. If its shadow is 10root3 metres in length, find the elevation of the Sun

What is the value of Sin42•

If the question is 11x + 15y +23 = 0 , 7x -2y -20= 0 Find x and y. In any this type of sum how can we now that first we have to find the value of x or y .

Question 13 Ten observations 6, 14, 15, 17, x+1, 2x – 13, 30, 32, 34 and 43 are written in an ascending order. The median of the data is 24. Find the value of x.

One leg of a right angle triangle exceeds the other leg by 4 inches.If the length of the hypotenuse is 20 inches` , find the length of the shorter leg of the triangle.

Find q and r for the following pairs of positive integers a and b satisfying a=bq+r.(1) a=13,b=3 (2) a=8,b=80 (3) a=125,b=5 (4) a=132,b=11.

If A = ⎧⎪⎪⎪⎩23−95⎫⎪⎪⎪⎭ − ⎧⎪⎪⎪⎩157−1⎫⎪⎪⎪⎭ , then find the additive inverse of A

In the following figure, if DP = 5 cm, DE = 15 cm, DQ = 6 cm and DF = 18 cm, then

The following pair of linear equations 3x - 2y + 5 = 0, 5x + 7y = 2 will have

If the polynomial x4-6x3+16x2-25x+10 is divided by another polynomial x2-2x+k,the remainder comes out to be x+a,find k and a

As. 2700 is divided between Asha, Babita and Sushmitha such that Asha gets Rs. 300 more than Babita and Sushmitha gets half of what Ashamed gets. How much do they each get?

What is the ratio between the base edge, slant height and height of a square pyramid having equal edges?

Find the value of m if the points A (5,1), B(-2,-3) and C(8,2m) are collinear m= _ (Enter in the form a/b if you obtain a fraction)

A well of diameter 4 m is dug 14 m deep. The earth taken out is spread evenly all around the well to form a 40 cm high embankment. Find the width of the embankment.

A dice is thrown once. Find the probability of getting a factor of 6.