32581 + Interview Questions in Mathematics Page 183 InterviewSolution

9101.	If 2x,x+10,3x+2 are in AP, then x= ___
Answer» If $2 x, x + 10, 3 x + 2$ are in AP, then $x =$ ___

Discussion

9102.	How many terms of the series 54, 51, 48, .... be taken so that their sum is 513 ? Explain the answer.
Answer» How many terms of the series 54, 51, 48, .... be taken so that their sum is 513 ? Explain the answer.

Discussion

9103.	A thief runs with the uniform speed of 50m/min. After 2 minutes a policemen runs after the thief to catch him. He goes 60 metres in first minute and increase his speed by 5m/min every succeeding minute. After how many min the policemen will catch the thief. I got the answer as : the policeman will catch the thief when the thief will be at 350 metres and it will take 5 minutes . I got the answer by writing in AP, i.e, for thief ->100,150,200,250,300,350 for policeman->60,125,195,270,350. I am not able to put it in the formula.
Answer» A thief runs with the uniform speed of 50m/min. After 2 minutes a policemen runs after the thief to catch him. He goes 60 metres in first minute and increase his speed by 5m/min every succeeding minute. After how many min the policemen will catch the thief. I got the answer as : the policeman will catch the thief when the thief will be at 350 metres and it will take 5 minutes . I got the answer by writing in AP, i.e, for thief ->100,150,200,250,300,350 for policeman->60,125,195,270,350. I am not able to put it in the formula.

Discussion

9104.	What is the probability of getting a prime number when a die is rolled?
Answer» What is the probability of getting a prime number when a die is rolled?

Discussion

9105.	Trinagle ABC is similar to triangle PQR such that AB:PQ = 1:3. If perimeter of triangle ABC= 15cm. Then find the perimeter of triangle PQR.
Answer» Trinagle ABC is similar to triangle PQR such that AB:PQ = 1:3. If perimeter of triangle ABC= 15cm. Then find the perimeter of triangle PQR.

Discussion

9106.	A two-digit number is 4 times the sum of its digits. If 18 is added to the number, the digits are reversed. Find the number.
Answer» A two-digit number is 4 times the sum of its digits. If 18 is added to the number, the digits are reversed. Find the number.

Discussion

9107.	The value of cos1° cos2° cos3° ... cos179° is(a) 12 (b) 0 (c) 1 (d) -1
Answer» The value of $\cos 1 ° \cos 2 ° \cos 3 ° . . . \cos 179 °$ is (a) $\frac{1}{\sqrt{2}}$ (b) 0 (c) 1 (d) $- 1$

Discussion

9108.	In the adjoining figure ′O′ is the center of circle, ∠CAO = 25∘ and ∠CBO = 35∘. What is the value of ∠AOB?
Answer» In the adjoining figure $^{'} O^{'}$ is the center of circle, $∠$ CAO $=$ $25^{\circ}$ and $∠$ CBO $=$ $35^{\circ}$ . What is the value of $∠$ AOB?

9108.

In the adjoining figure ′O′ is the center of circle, ∠CAO = 25∘ and ∠CBO = 35∘. What is the value of ∠AOB?

Answer»

In the adjoining figure $^{'} O^{'}$ is the center of circle, $∠$ CAO $=$ $25^{\circ}$ and $∠$ CBO $=$ $35^{\circ}$ . What is the value of $∠$ AOB?

Discussion

9109.	ntIf f(x) be a periodic function of period t show that, [ integral f(x) dx, with lower limit 'a' and upper limit 'a+t'] is independent of a.n
Answer» ntIf f(x) be a periodic function of period t show that, [ integral f(x) dx, with lower limit 'a' and upper limit 'a+t'] is independent of a.n

Discussion

9110.	Determine, algebraically, the vertices of the triangle formed by the lines3x – y = 32x – 3y = 2x + 2y = 8
Answer» Determine, algebraically, the vertices of the triangle formed by the lines 3x – y = 3 2x – 3y = 2 x + 2y = 8

Discussion

9111.	Find three smallest consecutive whole numbers such that the difference between one-fourth of the largest and one-fifth of the smallest is atleast 3.
Answer» Find three smallest consecutive whole numbers such that the difference between one-fourth of the largest and one-fifth of the smallest is atleast 3.

Discussion

9112.	What is the ratio of the volumes of a cylinder, a cone and a sphere, if each has the same diameter and same height?
Answer» What is the ratio of the volumes of a cylinder, a cone and a sphere, if each has the same diameter and same height?

Discussion

9113.	A point P is 25 cm from the centre of a circle. The radius of the circle is 7 cm and length of the tangent drawn from P to the circle is x cm. The value of x is ___ cm.
Answer» A point P is 25 cm from the centre of a circle. The radius of the circle is 7 cm and length of the tangent drawn from P to the circle is x cm. The value of x is ___ cm.

Discussion

9114.	The scalar product of the vector →a=^i+^j+^k with a unit vector along the sum of vectors →b=2^i+4^j−5^k and →c=λ^i+2^j+3^k is equal to one. Then the value of λ is
Answer» The scalar product of the vector $\to a =^i +^j +^k$ with a unit vector along the sum of vectors $\to b = 2^i + 4^j - 5^k$ and $\to c = λ^i + 2^j + 3^k$ is equal to one. Then the value of $λ$ is

Discussion

9115.	How many three digit natural numbers are divisible by 9?
Answer» How many three digit natural numbers are divisible by $9$ ?

Discussion

9116.	Check whether each of the polynomials listed below is a factor of 3x3 − 2x2 − 3x + 2; if not, find the remainder.(i) x − 1(ii) 3x − 2(iii) 2x − 3(iv) x + 1(v) 3x + 2(vi) 2x + 3
Answer» Check whether each of the polynomials listed below is a factor of 3x³ − 2x² − 3x + 2; if not, find the remainder. (i) x − 1 (ii) 3x − 2 (iii) 2x − 3 (iv) x + 1 (v) 3x + 2 (vi) 2x + 3

9116.

Check whether each of the polynomials listed below is a factor of 3x3 − 2x2 − 3x + 2; if not, find the remainder.(i) x − 1(ii) 3x − 2(iii) 2x − 3(iv) x + 1(v) 3x + 2(vi) 2x + 3

Answer»

Check whether each of the polynomials listed below is a factor of 3x³ − 2x² − 3x + 2; if not, find the remainder.

(i) x − 1

(ii) 3x − 2

(iii) 2x − 3

(iv) x + 1

(v) 3x + 2

(vi) 2x + 3

Discussion

9117.	Question 11 Find the ratio in which the point P(34,512) divides the line segment joining the points A(12,32) and B(2, -5).
Answer» Question 11 Find the ratio in which the point $P (\frac{3}{4}, \frac{5}{12})$ divides the line segment joining the points $A (\frac{1}{2}, \frac{3}{2})$ and B(2, -5).

Discussion

9118.	A motor boat can travel 30 km upstream and 28 km downstream in 7 hours . It can travel 21 km upstream and return in 5 hours . Find the speed of the boat in still water and the speed of the upstream .
Answer» A motor boat can travel 30 km upstream and 28 km downstream in 7 hours . It can travel 21 km upstream and return in 5 hours . Find the speed of the boat in still water and the speed of the upstream .

Discussion

9119.	1.There are 3 appartmentsABC for rent in a building. Each appartment will accept either 3 or 4occupants. The number ways of renting the appartments to 10 students
Answer» 1.There are 3 appartmentsABC for rent in a building. Each appartment will accept either 3 or 4occupants. The number ways of renting the appartments to 10 students

Discussion

9120.	Length of the tangent to a circle from a point 26 cm away from the centre is 24 cm. What is the radius of the circle?
Answer» Length of the tangent to a circle from a point 26 cm away from the centre is 24 cm. What is the radius of the circle?

Discussion

9121.	Lcm Lf k^2 and 2k
Answer» Lcm Lf k^2 and 2k

Discussion

9122.	Mr. Mayank invested Rs 8000 in 8% Rs 100 shares selling at Rs 80. After a year he sold these shares at Rs 82 each and invested the proceeds in Rs 100 shares selling at Rs 90 with a dividend of 12%. Calculate: The increased percentage return on his original investment.
Answer» Mr. Mayank invested Rs 8000 in 8% Rs 100 shares selling at Rs 80. After a year he sold these shares at Rs 82 each and invested the proceeds in Rs 100 shares selling at Rs 90 with a dividend of 12%. Calculate: The increased percentage return on his original investment.

9122.

Mr. Mayank invested Rs 8000 in 8% Rs 100 shares selling at Rs 80. After a year he sold these shares at Rs 82 each and invested the proceeds in Rs 100 shares selling at Rs 90 with a dividend of 12%. Calculate: The increased percentage return on his original investment.

Answer»

Mr. Mayank invested Rs 8000 in 8% Rs 100 shares selling at Rs 80. After a year he sold these shares at Rs 82 each and invested the proceeds in Rs 100 shares selling at Rs 90 with a dividend of 12%. Calculate:

The increased percentage return on his original investment.

Discussion

9123.	find the ratio in which the point P(3/4, 5/12) divides the line segment joining the points A(1/2,3/2) and B(2,-5)
Answer» find the ratio in which the point P(3/4, 5/12) divides the line segment joining the points A(1/2,3/2) and B(2,-5)

Discussion

9124.	ntIf the value of a quadratic polynomial p(x) is 0 at x = -1 and p(-2) =2 , then the value of p(2) isn ntA) 18n ntB) 9n ntC) 6n ntD) 3n
Answer» ntIf the value of a quadratic polynomial p(x) is 0 at x = -1 and p(-2) =2 , then the value of p(2) isn ntA) 18n ntB) 9n ntC) 6n ntD) 3n

Discussion

9125.	Shanthi and Ramesh enter into a business partnership in which Shanthi contributes ₹5000 for 3 months and Ramesh contributes ₹2000 for 4 months. In what ratio, a profit of ₹2300 will be split between Shanthi and Ramesh. Find their share also.
Answer» Shanthi and Ramesh enter into a business partnership in which Shanthi contributes ₹5000 for 3 months and Ramesh contributes ₹2000 for 4 months. In what ratio, a profit of ₹2300 will be split between Shanthi and Ramesh. Find their share also.

Discussion

9126.	Which of the following options is equal to √sec2θ+cosec2θ ?
Answer» Which of the following options is equal to $\sqrt{{sec}^{2} θ + c o s e c^{2} θ}$ ?

Discussion

9127.	Find the odds in favor of getting a multiple of 3, when a dice is thrown.
Answer» Find the odds in favor of getting a multiple of 3, when a dice is thrown.

Discussion

9128.	Find the number of all three digit natural numbers which are divisible by 9.
Answer» Find the number of all three digit natural numbers which are divisible by 9.

Discussion

9129.	Construct the quadrilateral ABCD in which AB = 7cm, BC = 9 cm and ∠ ABC = 1350, given that AC is its only line of symmetry. Name the geometrical name of the quadrilateral.
Answer» Construct the quadrilateral ABCD in which AB = 7cm, BC = 9 cm and $∠$ ABC = $135^{0}$ , given that AC is its only line of symmetry. Name the geometrical name of the quadrilateral.

Discussion

9130.	Which of the following is one of the roots of the quadratic equation 2x2−7x+3=0 ?
Answer» Which of the following is one of the roots of the quadratic equation ${2 x}^{2} - 7 x + 3 = 0$ ?

Discussion

9131.	Write the expression an−ak for the A.P. a, a+d, a+2d,... Hence, find the common difference of the A.P. for which (i) 11th term is 5 and 13th term is 79. (ii) a10−a5=200 (iii) 20th term is 10 more than the 18th term.
Answer» Write the expression $a_{n} - a_{k}$ for the A.P. a, a+d, a+2d,... Hence, find the common difference of the A.P. for which (i) 11th term is 5 and 13th term is 79. (ii) $a_{10} - a_{5} = 200$ (iii) 20th term is 10 more than the 18th term.

Discussion

9132.	14. What is nilpotent matrix?
Answer» 14. What is nilpotent matrix?

Discussion

9133.	A girl of height 90 cm is walking away from the base of a lamp-post at a speed of 1.2 ms. If the lamp is 3.6 m above the ground, find the length of her shadow after 4 seconds. [4 MARKS]
Answer» A girl of height 90 cm is walking away from the base of a lamp-post at a speed of 1.2 $\frac{m}{s}$ . If the lamp is 3.6 m above the ground, find the length of her shadow after 4 seconds. [4 MARKS]

Discussion

9134.	Find the fourth proportional to : (i) 1.5, 4.5 and 3.5 (ii) 3a. 6a2 and 2ab2
Answer» Find the fourth proportional to : (i) 1.5, 4.5 and 3.5 (ii) 3a. $6 a^{2}$ and $2 a b^{2}$

9134.

Find the fourth proportional to : (i) 1.5, 4.5 and 3.5 (ii) 3a. 6a2 and 2ab2

Answer»

Find the fourth proportional to :

(i) 1.5, 4.5 and 3.5

(ii) 3a. $6 a^{2}$ and $2 a b^{2}$

Discussion

9135.	10. TP and TQ are any two tangents to a parabola and a tangent at a third point R cuts them in P' and Q' .prove that TP'/TP+TQ'/TQ=1
Answer» 10. TP and TQ are any two tangents to a parabola and a tangent at a third point R cuts them in P' and Q' .prove that TP'/TP+TQ'/TQ=1

Discussion

9136.	Solve the following systems of equations:x+yxy=2x-yxy=6
Answer» Solve the following systems of equations: $\frac{x + y}{x y} = 2 \frac{x - y}{x y} = 6$

Discussion

9137.	73.The displacement x of a particle is given by x = A sin ( ω t + θ ), the time at which the displacement is maximum is ?
Answer» 73.The displacement x of a particle is given by x = A sin ( ω t + θ ), the time at which the displacement is maximum is ?

Discussion

9138.	A test tube of volume V kept open initially is closed with an air tight cork. The quantity of air inside the test tube is:
Answer» A test tube of volume V kept open initially is closed with an air tight cork. The quantity of air inside the test tube is:

Discussion

9139.

Find the mean, mode and median of the following frequency distribution. [CBSE 2010] Class 0−10 10−20 20−30 30−40 40−50 50−60 60−70 Frequency 4 4 7 10 12 8 5

Answer»

Find the mean, mode and median of the following frequency distribution. [CBSE 2010]

Class	0−10	10−20	20−30	30−40	40−50	50−60	60−70
Frequency	4	4	7	10	12	8	5

Discussion

9140.	If x is a positive integer such that the distance between points P (x, 2) and Q (3, –6) is 10 units, then x =
Answer» If x is a positive integer such that the distance between points P (x, 2) and Q (3, –6) is 10 units, then x =

Discussion

9141.	The slant height of the frustum of a cone is 5 cm. If the difference between the radii of its two circular ends is 4 cm, write the height of the frustum.
Answer» The slant height of the frustum of a cone is 5 cm. If the difference between the radii of its two circular ends is 4 cm, write the height of the frustum.

Discussion

9142.	A circus artist is climbing a 30 m long rope, which is tightly stretched and tied from the top of a vertical pole to the ground. The height of the pole, if the angle made by the rope with the ground level is 30∘___ m.
Answer» A circus artist is climbing a 30 m long rope, which is tightly stretched and tied from the top of a vertical pole to the ground. The height of the pole, if the angle made by the rope with the ground level is $30^{\circ}$ ___ m.

9142.

A circus artist is climbing a 30 m long rope, which is tightly stretched and tied from the top of a vertical pole to the ground. The height of the pole, if the angle made by the rope with the ground level is 30∘___ m.

Answer»

A circus artist is climbing a 30 m long rope, which is tightly stretched and tied from the top of a vertical pole to the ground. The height of the pole, if the angle made by the rope with the ground level is $30^{\circ}$

___

m.

Discussion

9143.	Question 24 One ticket is drawn at random from a bag containing tickets numberd 1 to 40. The probability that the selected ticket has a number which is a multiple of 5 is (a) 15 (b) 35 (c) 45 (d) 13
Answer» Question 24 One ticket is drawn at random from a bag containing tickets numberd 1 to 40. The probability that the selected ticket has a number which is a multiple of 5 is (a) $\frac{1}{5}$ (b) $\frac{3}{5}$ (c) $\frac{4}{5}$ (d) $\frac{1}{3}$

Discussion

9144.	A father is three times as old as his son. After twelve years, his age will be twice as that of his son then. Find the their present ages.
Answer» A father is three times as old as his son. After twelve years, his age will be twice as that of his son then. Find the their present ages.

Discussion

9145.	Find the roots of each of the following equations, if they exist, by applying the quadratic formula: 12abx2−(9a2−8b2)x−6ab=0, where a≠0 and b≠0
Answer» Find the roots of each of the following equations, if they exist, by applying the quadratic formula: $12 a b x^{2} - (9 a^{2} - 8 b^{2}) x - 6 a b = 0, w h e r e a \neq 0 a n d b \neq 0$

Discussion

9146.	In the given figure, OCDE is a rectangle inscribed in a quadrant of a circle of radius 10 cm. If OE = 25, find the area of the rectangle.
Answer» In the given figure, OCDE is a rectangle inscribed in a quadrant of a circle of radius 10 cm. If OE = 2 $\sqrt{5}$ , find the area of the rectangle.

Discussion

9147.	Question 2 (i) A die is numbered in such a way that its faces show the numbers 1, 2, 2, 3, 3, 6. It is thrown two times and the total score in two throws is noted. Complete the following table which gives a few values of the total score on the two throws: What is the probability that the total score is even?
Answer» Question 2 (i) A die is numbered in such a way that its faces show the numbers 1, 2, 2, 3, 3, 6. It is thrown two times and the total score in two throws is noted. Complete the following table which gives a few values of the total score on the two throws: What is the probability that the total score is even?

Discussion

9148.	Write an expression of the statement given below:One-fourth of a number x is added to one-third of a number y.
Answer» Write an expression of the statement given below: One-fourth of a number x is added to one-third of a number y.

Discussion

9149.	A closed hollow cone 24 cm high having base radius 7 cm is to be made using metal sheets. Find the capacity of the cone and the amount of sheet required to make the cone.
Answer» A closed hollow cone 24 cm high having base radius 7 cm is to be made using metal sheets. Find the capacity of the cone and the amount of sheet required to make the cone.

Discussion

9150.

In the figure, PQ || AB. CQ = 4.8 cm,QB = 3.6 cm and AB = 6.3 cm. If AP = x,then what is the length of AC in terms of x ?

Answer»

$In the figure, PQ || AB. CQ = 4.8 cm, QB = 3.6 cm and AB = 6.3 cm. If AP = x, then what is the length of AC in terms of x ?$

Discussion

Explore topic-wise InterviewSolutions in .

If 2x,x+10,3x+2 are in AP, then x= ___

How many terms of the series 54, 51, 48, .... be taken so that their sum is 513 ? Explain the answer.

What is the probability of getting a prime number when a die is rolled?

Trinagle ABC is similar to triangle PQR such that AB:PQ = 1:3. If perimeter of triangle ABC= 15cm. Then find the perimeter of triangle PQR.

A two-digit number is 4 times the sum of its digits. If 18 is added to the number, the digits are reversed. Find the number.

The value of cos1° cos2° cos3° ... cos179° is(a) 12 (b) 0 (c) 1 (d) -1

In the adjoining figure ′O′ is the center of circle, ∠CAO = 25∘ and ∠CBO = 35∘. What is the value of ∠AOB?

ntIf f(x) be a periodic function of period t show that, [ integral f(x) dx, with lower limit 'a' and upper limit 'a+t'] is independent of a.n

Determine, algebraically, the vertices of the triangle formed by the lines3x – y = 32x – 3y = 2x + 2y = 8

Find three smallest consecutive whole numbers such that the difference between one-fourth of the largest and one-fifth of the smallest is atleast 3.

What is the ratio of the volumes of a cylinder, a cone and a sphere, if each has the same diameter and same height?

A point P is 25 cm from the centre of a circle. The radius of the circle is 7 cm and length of the tangent drawn from P to the circle is x cm. The value of x is ___ cm.

The scalar product of the vector →a=^i+^j+^k with a unit vector along the sum of vectors →b=2^i+4^j−5^k and →c=λ^i+2^j+3^k is equal to one. Then the value of λ is

How many three digit natural numbers are divisible by 9?

Check whether each of the polynomials listed below is a factor of 3x3 − 2x2 − 3x + 2; if not, find the remainder.(i) x − 1(ii) 3x − 2(iii) 2x − 3(iv) x + 1(v) 3x + 2(vi) 2x + 3

Question 11 Find the ratio in which the point P(34,512) divides the line segment joining the points A(12,32) and B(2, -5).

A motor boat can travel 30 km upstream and 28 km downstream in 7 hours . It can travel 21 km upstream and return in 5 hours . Find the speed of the boat in still water and the speed of the upstream .

1.There are 3 appartmentsABC for rent in a building. Each appartment will accept either 3 or 4occupants. The number ways of renting the appartments to 10 students

Length of the tangent to a circle from a point 26 cm away from the centre is 24 cm. What is the radius of the circle?

Lcm Lf k^2 and 2k

Mr. Mayank invested Rs 8000 in 8% Rs 100 shares selling at Rs 80. After a year he sold these shares at Rs 82 each and invested the proceeds in Rs 100 shares selling at Rs 90 with a dividend of 12%. Calculate: The increased percentage return on his original investment.

find the ratio in which the point P(3/4, 5/12) divides the line segment joining the points A(1/2,3/2) and B(2,-5)

ntIf the value of a quadratic polynomial p(x) is 0 at x = -1 and p(-2) =2 , then the value of p(2) isn ntA) 18n ntB) 9n ntC) 6n ntD) 3n

Shanthi and Ramesh enter into a business partnership in which Shanthi contributes ₹5000 for 3 months and Ramesh contributes ₹2000 for 4 months. In what ratio, a profit of ₹2300 will be split between Shanthi and Ramesh. Find their share also.

Which of the following options is equal to √sec2θ+cosec2θ ?

Find the odds in favor of getting a multiple of 3, when a dice is thrown.

Find the number of all three digit natural numbers which are divisible by 9.

Construct the quadrilateral ABCD in which AB = 7cm, BC = 9 cm and ∠ ABC = 1350, given that AC is its only line of symmetry. Name the geometrical name of the quadrilateral.

Which of the following is one of the roots of the quadratic equation 2x2−7x+3=0 ?

Write the expression an−ak for the A.P. a, a+d, a+2d,... Hence, find the common difference of the A.P. for which (i) 11th term is 5 and 13th term is 79. (ii) a10−a5=200 (iii) 20th term is 10 more than the 18th term.

14. What is nilpotent matrix?

A girl of height 90 cm is walking away from the base of a lamp-post at a speed of 1.2 ms. If the lamp is 3.6 m above the ground, find the length of her shadow after 4 seconds. [4 MARKS]

Find the fourth proportional to : (i) 1.5, 4.5 and 3.5 (ii) 3a. 6a2 and 2ab2

10. TP and TQ are any two tangents to a parabola and a tangent at a third point R cuts them in P' and Q' .prove that TP'/TP+TQ'/TQ=1

Solve the following systems of equations:x+yxy=2x-yxy=6

73.The displacement x of a particle is given by x = A sin ( ω t + θ ), the time at which the displacement is maximum is ?

A test tube of volume V kept open initially is closed with an air tight cork. The quantity of air inside the test tube is:

Find the mean, mode and median of the following frequency distribution. [CBSE 2010] Class 0−10 10−20 20−30 30−40 40−50 50−60 60−70 Frequency 4 4 7 10 12 8 5

If x is a positive integer such that the distance between points P (x, 2) and Q (3, –­6) is 10 units, then x =

The slant height of the frustum of a cone is 5 cm. If the difference between the radii of its two circular ends is 4 cm, write the height of the frustum.

A circus artist is climbing a 30 m long rope, which is tightly stretched and tied from the top of a vertical pole to the ground. The height of the pole, if the angle made by the rope with the ground level is 30∘___ m.

Question 24 One ticket is drawn at random from a bag containing tickets numberd 1 to 40. The probability that the selected ticket has a number which is a multiple of 5 is (a) 15 (b) 35 (c) 45 (d) 13

A father is three times as old as his son. After twelve years, his age will be twice as that of his son then. Find the their present ages.

Find the roots of each of the following equations, if they exist, by applying the quadratic formula: 12abx2−(9a2−8b2)x−6ab=0, where a≠0 and b≠0

In the given figure, OCDE is a rectangle inscribed in a quadrant of a circle of radius 10 cm. If OE = 25, find the area of the rectangle.

Write an expression of the statement given below:One-fourth of a number x is added to one-third of a number y.

A closed hollow cone 24 cm high having base radius 7 cm is to be made using metal sheets. Find the capacity of the cone and the amount of sheet required to make the cone.

In the figure, PQ || AB. CQ = 4.8 cm,QB = 3.6 cm and AB = 6.3 cm. If AP = x,then what is the length of AC in terms of x ?

If x is a positive integer such that the distance between points P (x, 2) and Q (3, –6) is 10 units, then x =