32581 + Interview Questions in Mathematics Page 168 InterviewSolution

8351.	Fnd x and y if (x+2y2x−y)=(6−8)
Answer» Fnd x and y if $(\begin{matrix} x + 2 y 2 x - y \end{matrix}) = (\begin{matrix} 6 - 8 \end{matrix})$

Discussion

8352.	ntA parallel plate capacitor each plate of 0.06 m diameter and 0.05 cm of air what is the capacity of capacitor .what would be the radius of sphere having the same capacitamce .n
Answer» ntA parallel plate capacitor each plate of 0.06 m diameter and 0.05 cm of air what is the capacity of capacitor .what would be the radius of sphere having the same capacitamce .n

Discussion

8353.	solve fo x and y 1.PX+QY=P-Q QX-PY=P+Q
Answer» solve fo x and y 1.PX+QY=P-Q QX-PY=P+Q

Discussion

8354.	If points (a, 0), (0, b) and (1, 1) are collinear, then 1a+1b = (a) 1(b) 2(c) 0(d) −1
Answer» If points (a, 0), (0, b) and (1, 1) are collinear, then $\frac{1}{a} + \frac{1}{b} =$ (a) 1 (b) 2 (c) 0 (d) −1

Discussion

8355.	Find thenth term of the AP with ‘a’ as first term and ‘d’ as common difference.
Answer» Find the $n^{t h}$ term of the AP with ‘a’ as first term and ‘d’ as common difference.

Discussion

8356.	Prove that 21/2 is irrational.(Please explain step wise because I am a bit confused and I am not able to understand the logic behind it.)
Answer» Prove that 2^1/2 is irrational.(Please explain step wise because I am a bit confused and I am not able to understand the logic behind it.)

Discussion

8357.	Question 2 3 × 10000 + 7 × 1000 + 9 × 100 + 0 ×10 + 4 is the same as: (A) 3794 (B) 37940 (C) 37904 (D) 379409
Answer» Question 2 3 × 10000 + 7 × 1000 + 9 × 100 + 0 ×10 + 4 is the same as: (A) 3794 (B) 37940 (C) 37904 (D) 379409

8357.

Question 2 3 × 10000 + 7 × 1000 + 9 × 100 + 0 ×10 + 4 is the same as: (A) 3794 (B) 37940 (C) 37904 (D) 379409

Answer»

Question 2

3 × 10000 + 7 × 1000 + 9 × 100 + 0 ×10 + 4 is the same as:

(A) 3794
(B) 37940
(C) 37904
(D) 379409

Discussion

8358.	The angle of elevation of a cloud from a point 60 m above a lake is 30∘ and the angle of depression of the reflection of cloud in the lake is 60∘. Find the height of the cloud.
Answer» The angle of elevation of a cloud from a point 60 m above a lake is $30^{\circ}$ and the angle of depression of the reflection of cloud in the lake is $60^{\circ}$ . Find the height of the cloud.

Discussion

8359.	Find the total surface area of a hemisphere of radius 14 cm.
Answer» Find the total surface area of a hemisphere of radius 14 cm.

Discussion

8360.	11. ATV tower stands vertically on a bankof a canal. From a point on the otherbank directly opposite the tower, theangle of elevation of the top of thetower is 60^° . From another point 20 maway from this point on the line joingthis point to the foot of the tower, theangle of elevation of the top of thetower is 30^° (see Fig. 9.12). Find theheight of the tower and the width ofthe canal.
Answer» 11. ATV tower stands vertically on a bank of a canal. From a point on the other bank directly opposite the tower, the angle of elevation of the top of the tower is 60^° . From another point 20 m away from this point on the line joing this point to the foot of the tower, the angle of elevation of the top of the tower is 30^° (see Fig. 9.12). Find the height of the tower and the width of the canal.

Discussion

8361.	If cot θ=78,evaluate: (i) (1+sin θ)(1−sin θ)(1+cos θ)(1−cos θ) (ii) cot2 θ
Answer» If cot $θ = \frac{7}{8}$ ,evaluate: (i) $\frac{(1 + s i n θ) (1 - s i n θ)}{(1 + c o s θ) (1 - c o s θ)}$ (ii) $c o t^{2} θ$

8361.

If cot θ=78,evaluate: (i) (1+sin θ)(1−sin θ)(1+cos θ)(1−cos θ) (ii) cot2 θ

Answer»

If cot $θ = \frac{7}{8}$ ,evaluate:

(i) $\frac{(1 + s i n θ) (1 - s i n θ)}{(1 + c o s θ) (1 - c o s θ)}$

(ii) $c o t^{2} θ$

Discussion

8362.	The difference of two numbers is 4. If the difference of their reciprocal is 421, find the numbers.
Answer» The difference of two numbers is 4. If the difference of their reciprocal is $\frac{4}{21}$ , find the numbers.

Discussion

8363.	If a,b,c are in continued proportion. Prove abc(a+b+c)^3= (ab+bc+ac)^3
Answer» If a,b,c are in continued proportion. Prove abc(a+b+c)^3= (ab+bc+ac)^3

Discussion

8364.	An aeroplane is flying at a height of 210 m. Flying at this height at some instant the angles of depression of two points in opposite directions on both the banks of the river are 45º and 60º. Find the width of the river. (Use 3 = 1.73) [CBSE 2015]
Answer» An aeroplane is flying at a height of 210 m. Flying at this height at some instant the angles of depression of two points in opposite directions on both the banks of the river are 45º and 60º. Find the width of the river. (Use $\sqrt{3}$ = 1.73) [CBSE 2015]

Discussion

8365.	14. a line is suchthat its segment between lines 5x-y+4=0 and 3x+4y-4=o is bisected at point(1,5) .obtain its equation??
Answer» 14. a line is suchthat its segment between lines 5x-y+4=0 and 3x+4y-4=o is bisected at point(1,5) .obtain its equation??

Discussion

8366.	A cubic cm of gold is drawn into a wire 0.1 mm in diameter, find the length of the wire.
Answer» A cubic cm of gold is drawn into a wire 0.1 mm in diameter, find the length of the wire.

Discussion

8367.	Prove that product of three consecutive positive integer is divisible by 6.
Answer» Prove that product of three consecutive positive integer is divisible by 6.

Discussion

8368.	What is the sum to n terms of the following series: 2,4,6,8,…, ( nth term)?
Answer» What is the sum to n terms of the following series: 2,4,6,8,…, ( $n^{t h}$ term)?

Discussion

8369.	In the diagram, a square is drawn such that the diagonally opposite corners touch the Centre and the circumference of a circle whose radius is r. Find the area of the square.
Answer» In the diagram, a square is drawn such that the diagonally opposite corners touch the Centre and the circumference of a circle whose radius is r. Find the area of the square.

8369.

In the diagram, a square is drawn such that the diagonally opposite corners touch the Centre and the circumference of a circle whose radius is r. Find the area of the square.

Answer»

In the diagram, a square is drawn such that the diagonally opposite corners touch the Centre and the circumference of a circle whose radius is r. Find the area of the square.

Discussion

8370.	A well of diameter 3 m is dug 14 m deep. The earth taken out of it is spread evenly all around it to a width of 4 m to form an embankment. Find the height of the embankment.
Answer» A well of diameter 3 m is dug 14 m deep. The earth taken out of it is spread evenly all around it to a width of 4 m to form an embankment. Find the height of the embankment.

Discussion

8371.	If the zeros of the polynomial f(x) = x3 − 12x2 + 39x + k are in A.P., find the value of k.
Answer» If the zeros of the polynomial f(x) = x³ − 12x² + 39x + k are in A.P., find the value of k.

Discussion

8372.	Two cones have their heights in the ratio 1 : 3 and radii 3 : 1. What is the ratio of their volumes?
Answer» Two cones have their heights in the ratio 1 : 3 and radii 3 : 1. What is the ratio of their volumes?

Discussion

8373.	Evaluate ∫2x+3√3x2+2x+5dx(where C is constant of integration)
Answer» Evaluate $\int \frac{2 x + 3}{\sqrt{3 x^{2} + 2 x + 5}} d x$ (where $C$ is constant of integration)

Discussion

8374.	A 6 feet tall man sees an apple on the ground, 6√3 feet away from him. What is the angle of depression when he is looking at the apple?
Answer» A 6 feet tall man sees an apple on the ground, $6 \sqrt{3}$ feet away from him. What is the angle of depression when he is looking at the apple?

Discussion

8375.	Represent 0.131313….. In a rational form. [2MARKS]
Answer» Represent 0.131313….. In a rational form. [2MARKS]

Discussion

8376.	Question 4A pen stand made of wood is in the shape of a cuboid with four conical depressions to hold pens. The dimensions of the cuboid are 15 cm by 10 cm by 3.5 cm. The radius of each of the depressions is 0.5 cm and the depth is 1.4 cm. Find the volume of wood in the entire stand.
Answer» Question 4 A pen stand made of wood is in the shape of a cuboid with four conical depressions to hold pens. The dimensions of the cuboid are 15 cm by 10 cm by 3.5 cm. The radius of each of the depressions is 0.5 cm and the depth is 1.4 cm. Find the volume of wood in the entire stand.

Discussion

8377.	In an AP, it is given that S5 + S7 = 167 and S10 = 235, then find the AP, where Sn denotes the sum of its first n terms. [CBSE 2015]
Answer» In an AP, it is given that S₅+ S₇ = 167 and S₁₀= 235, then find the AP, where S_n denotes the sum of its first n terms. [CBSE 2015]

Discussion

8378.	An aeroplane leaves the airport and flies due north at a speed of 600 km/hr. At the same time, another aeroplane leaves the same airport and flies due west at a speed of 800 km/hr. What will be the distance between two planes after 1 hour?
Answer» An aeroplane leaves the airport and flies due north at a speed of 600 km/hr. At the same time, another aeroplane leaves the same airport and flies due west at a speed of 800 km/hr. What will be the distance between two planes after 1 hour?

Discussion

8379.	Question 1Prove that line of centres of two intersecting circles subtends equal angles at the two points of intersection.
Answer» Question 1 Prove that line of centres of two intersecting circles subtends equal angles at the two points of intersection.

Discussion

8380.	If two numbers are drawn from the group A {0, 1, 2, 3, 4, 5, 6, 7}, what is the probability that the product of the numbers is divisible by 5.
Answer» If two numbers are drawn from the group A {0, 1, 2, 3, 4, 5, 6, 7}, what is the probability that the product of the numbers is divisible by 5.

Discussion

8381.	A contractor plans to install two slides for the children to play in a park. For the children below the age of 5 years, she prefers to have a slide whose top is at a height of 1.5 m, and is inclined at an angle of 30 ° to the ground, where as for the elder children she wants to have a steep side at a height of 3 m, and inclined at an angle of 60 ° to the ground. What should be the length of the slide in each case?
Answer» A contractor plans to install two slides for the children to play in a park. For the children below the age of 5 years, she prefers to have a slide whose top is at a height of 1.5 m, and is inclined at an angle of 30 ° to the ground, where as for the elder children she wants to have a steep side at a height of 3 m, and inclined at an angle of 60 ° to the ground. What should be the length of the slide in each case?

Discussion

8382.	Question 7 (iii)Solve the following pair of linear equations.xa−yb=0ax+by=a2+b2
Answer» Question 7 (iii) Solve the following pair of linear equations. $\frac{x}{a} - \frac{y}{b} = 0$ $a x + b y = a^{2} + b^{2}$

Discussion

8383.	A kite is flying at a height of 30 m above the ground. The string attached to the kite is temporarily tied to a point on the ground. The inclination of the string with the ground is 30∘. Find the length of the string(in meters), assuming that there is no slack in the string.
Answer» A kite is flying at a height of 30 m above the ground. The string attached to the kite is temporarily tied to a point on the ground. The inclination of the string with the ground is $30^{\circ}$ . Find the length of the string(in meters), assuming that there is no slack in the string.

Discussion

8384.	6x +5y= 8 2x +3y=5 solve this linear equation by 20 three methods substitution ,elimination and cross multiplication Solve this early please!
Answer» 6x +5y= 8 2x +3y=5 solve this linear equation by 20 three methods substitution ,elimination and cross multiplication Solve this early please!

8384.

6x +5y= 8 2x +3y=5 solve this linear equation by 20 three methods substitution ,elimination and cross multiplication Solve this early please!

Answer»

6x +5y= 8

2x +3y=5

solve this linear equation by 20 three methods substitution ,elimination and cross multiplication

Solve this early please!

Discussion

8385.	Question 9A two – digit number is obtained by either multiplying the sum of the digits by 8 and then subtracting 5 or by multiplying the difference of the digits by 16 and then adding 3. Find the number.
Answer» Question 9 A two – digit number is obtained by either multiplying the sum of the digits by 8 and then subtracting 5 or by multiplying the difference of the digits by 16 and then adding 3. Find the number.

Discussion

8386.	The value of tan1o.tan2o.tan3o.......... tan89o is :
Answer» The value of tan1^o.tan2^o.tan3^o.......... tan89^o is :

Discussion

8387.	Question 17 (i)(i) A lot of 20 bulbs contains 4 defective ones. One bulb is drawn at random from the lot. What is the probability that this bulb is defective?
Answer» Question 17 (i) (i) A lot of 20 bulbs contains 4 defective ones. One bulb is drawn at random from the lot. What is the probability that this bulb is defective?

Discussion

8388.	Each side of an equilateral triangle is 8 cm. Its area is(a) 24 cm2(b) 243cm2(c) 163cm2(d) 83cm2
Answer» Each side of an equilateral triangle is 8 cm. Its area is (a) 24 cm² (b) $24 \sqrt{3} {cm}^{2}$ (c) $16 \sqrt{3} {cm}^{2}$ (d) $8 \sqrt{3} {cm}^{2}$

Discussion

8389.	The volumes of two spheres are in the ratio 64 : 27. The ratio of their surface areas is(a) 1 : 2(b) 2 : 3(c) 9 : 16(d) 16 : 9
Answer» The volumes of two spheres are in the ratio 64 : 27. The ratio of their surface areas is (a) 1 : 2 (b) 2 : 3 (c) 9 : 16 (d) 16 : 9

Discussion

8390.	A point P is at a distance of 29 cm from the centre of a circle of radius 20 cm. Find the length of the tangent drawn from P to the circle. [CBSE 2017]
Answer» A point P is at a distance of 29 cm from the centre of a circle of radius 20 cm. Find the length of the tangent drawn from P to the circle. [CBSE 2017]

Discussion

8391.	A circle of radius 10 units is drawn with (8,6) as the centre. At which of the given points does the circle pass through the co-ordinate axes?
Answer» A circle of radius 10 units is drawn with (8,6) as the centre. At which of the given points does the circle pass through the co-ordinate axes?

Discussion

8392.	In the figure, DE is parallel to BC and ADDB=32. Area of ΔDEF is 81cm2. Area of ΔCFB is .
Answer» In the figure, DE is parallel to BC and $\frac{A D}{D B} = \frac{3}{2}$ . Area of $Δ D E F$ is $81 c m^{2}$ . Area of $Δ C F B$ is .

Discussion

8393.	Question 6Find the angle measure x in the following figures:
Answer» Question 6 Find the angle measure x in the following figures:

Discussion

8394.	The 5th term of the Arithematic sequence is 9.its 9th term is 5.what is the common difference?what is the 14th term?
Answer» The 5th term of the Arithematic sequence is 9.its 9th term is 5.what is the common difference?what is the 14th term?

Discussion

8395.	The area of a rectangle gets reduced by 67 square metres,when its length is increased by 3 m and breadth is decreased by 4m.If the length is reduced by 1 m and breadth is increased by 4m,the area is increased by 89 square metres.Find the dimensions of the rectangle.
Answer» The area of a rectangle gets reduced by 67 square metres,when its length is increased by 3 m and breadth is decreased by 4m.If the length is reduced by 1 m and breadth is increased by 4m,the area is increased by 89 square metres.Find the dimensions of the rectangle.

Discussion

8396.	A cylindrical vessel with internal diameter 10 cm and height 10.5 cm is full of water. A solid cone of base diameter 7 cm and height 6 cm is completely immersed in water. Find the value of water (i) displaced out of the cylinder (ii) left in the cylinder. (Take π 22/7)
Answer» A cylindrical vessel with internal diameter 10 cm and height 10.5 cm is full of water. A solid cone of base diameter 7 cm and height 6 cm is completely immersed in water. Find the value of water (i) displaced out of the cylinder (ii) left in the cylinder. (Take π 22/7)

Discussion

8397.	Cot theta + cosec theta - 1 / cot theta - cosec theta + 1 is equal to
Answer» Cot theta + cosec theta - 1 / cot theta - cosec theta + 1 is equal to

Discussion

8398.	The table below shows the salaries of 280 persons : Salary(In thousand Rs.)No. of Persons5−104910−1513315−206320−251525−30630−35735−40440−45245−501 Calculate the median salary of the data.
Answer» The table below shows the salaries of 280 persons : $\begin{matrix} Salary(In thousand Rs.) & No. of Persons 5 - 10 & 49 10 - 15 & 133 15 - 20 & 63 20 - 25 & 15 25 - 30 & 6 30 - 35 & 7 35 - 40 & 4 40 - 45 & 2 45 - 50 & 1 \end{matrix}$ Calculate the median salary of the data.

Discussion

8399.	In a class test, the sum of Shefali's marks in Mathematics and English is 30. Had she got 2 marks more in Mathematics and 3 marks less in English, the product of her marks would have been 210. Find her marks in two subjects.
Answer» In a class test, the sum of Shefali's marks in Mathematics and English is 30. Had she got 2 marks more in Mathematics and 3 marks less in English, the product of her marks would have been 210. Find her marks in two subjects.

Discussion

8400.	Form the pair of linear equations in the following problems, and find their solution graphically: Champa went to a 'sale' to purchase some pants and skirts. When her friends asked her how many of each she had bought, she answered, "The number of skirts is two less than four times the number of pants purchased." Help her friends to find how many pants and skirts Champa bought.
Answer» Form the pair of linear equations in the following problems, and find their solution graphically: Champa went to a 'sale' to purchase some pants and skirts. When her friends asked her how many of each she had bought, she answered, "The number of skirts is two less than four times the number of pants purchased." Help her friends to find how many pants and skirts Champa bought.

8400.

Form the pair of linear equations in the following problems, and find their solution graphically: Champa went to a 'sale' to purchase some pants and skirts. When her friends asked her how many of each she had bought, she answered, "The number of skirts is two less than four times the number of pants purchased." Help her friends to find how many pants and skirts Champa bought.

Answer»

Form the pair of linear equations in the following problems, and find their solution graphically:

Champa went to a 'sale' to purchase some pants and skirts. When her friends asked her how many of each she had bought, she answered, "The number of skirts is two less than four times the number of pants purchased." Help her friends to find how many pants and skirts Champa bought.

Discussion

Explore topic-wise InterviewSolutions in .

Fnd x and y if (x+2y2x−y)=(6−8)

ntA parallel plate capacitor each plate of 0.06 m diameter and 0.05 cm of air what is the capacity of capacitor .what would be the radius of sphere having the same capacitamce .n

solve fo x and y 1.PX+QY=P-Q QX-PY=P+Q

If points (a, 0), (0, b) and (1, 1) are collinear, then 1a+1b = (a) 1(b) 2(c) 0(d) −1

Find thenth term of the AP with ‘a’ as first term and ‘d’ as common difference.

Prove that 21/2 is irrational.(Please explain step wise because I am a bit confused and I am not able to understand the logic behind it.)

Question 2 3 × 10000 + 7 × 1000 + 9 × 100 + 0 ×10 + 4 is the same as: (A) 3794 (B) 37940 (C) 37904 (D) 379409

The angle of elevation of a cloud from a point 60 m above a lake is 30∘ and the angle of depression of the reflection of cloud in the lake is 60∘. Find the height of the cloud.

Find the total surface area of a hemisphere of radius 14 cm.

If cot θ=78,evaluate: (i) (1+sin θ)(1−sin θ)(1+cos θ)(1−cos θ) (ii) cot2 θ

The difference of two numbers is 4. If the difference of their reciprocal is 421, find the numbers.

If a,b,c are in continued proportion. Prove abc(a+b+c)^3= (ab+bc+ac)^3

An aeroplane is flying at a height of 210 m. Flying at this height at some instant the angles of depression of two points in opposite directions on both the banks of the river are 45º and 60º. Find the width of the river. (Use 3 = 1.73) [CBSE 2015]

14. a line is suchthat its segment between lines 5x-y+4=0 and 3x+4y-4=o is bisected at point(1,5) .obtain its equation??

A cubic cm of gold is drawn into a wire 0.1 mm in diameter, find the length of the wire.

Prove that product of three consecutive positive integer is divisible by 6.

What is the sum to n terms of the following series: 2,4,6,8,…, ( nth term)?

In the diagram, a square is drawn such that the diagonally opposite corners touch the Centre and the circumference of a circle whose radius is r. Find the area of the square.

A well of diameter 3 m is dug 14 m deep. The earth taken out of it is spread evenly all around it to a width of 4 m to form an embankment. Find the height of the embankment.

If the zeros of the polynomial f(x) = x3 − 12x2 + 39x + k are in A.P., find the value of k.

Two cones have their heights in the ratio 1 : 3 and radii 3 : 1. What is the ratio of their volumes?

Evaluate ∫2x+3√3x2+2x+5dx(where C is constant of integration)

A 6 feet tall man sees an apple on the ground, 6√3 feet away from him. What is the angle of depression when he is looking at the apple?

Represent 0.131313….. In a rational form. [2MARKS]

Question 4A pen stand made of wood is in the shape of a cuboid with four conical depressions to hold pens. The dimensions of the cuboid are 15 cm by 10 cm by 3.5 cm. The radius of each of the depressions is 0.5 cm and the depth is 1.4 cm. Find the volume of wood in the entire stand.

In an AP, it is given that S5 + S7 = 167 and S10 = 235, then find the AP, where Sn denotes the sum of its first n terms. [CBSE 2015]

An aeroplane leaves the airport and flies due north at a speed of 600 km/hr. At the same time, another aeroplane leaves the same airport and flies due west at a speed of 800 km/hr. What will be the distance between two planes after 1 hour?

Question 1Prove that line of centres of two intersecting circles subtends equal angles at the two points of intersection.

If two numbers are drawn from the group A {0, 1, 2, 3, 4, 5, 6, 7}, what is the probability that the product of the numbers is divisible by 5.

Question 7 (iii)Solve the following pair of linear equations.xa−yb=0ax+by=a2+b2

A kite is flying at a height of 30 m above the ground. The string attached to the kite is temporarily tied to a point on the ground. The inclination of the string with the ground is 30∘. Find the length of the string(in meters), assuming that there is no slack in the string.

6x +5y= 8 2x +3y=5 solve this linear equation by 20 three methods substitution ,elimination and cross multiplication Solve this early please!

Question 9A two – digit number is obtained by either multiplying the sum of the digits by 8 and then subtracting 5 or by multiplying the difference of the digits by 16 and then adding 3. Find the number.

The value of tan1o.tan2o.tan3o.......... tan89o is :

Question 17 (i)(i) A lot of 20 bulbs contains 4 defective ones. One bulb is drawn at random from the lot. What is the probability that this bulb is defective?

Each side of an equilateral triangle is 8 cm. Its area is(a) 24 cm2(b) 243cm2(c) 163cm2(d) 83cm2

The volumes of two spheres are in the ratio 64 : 27. The ratio of their surface areas is(a) 1 : 2(b) 2 : 3(c) 9 : 16(d) 16 : 9

A point P is at a distance of 29 cm from the centre of a circle of radius 20 cm. Find the length of the tangent drawn from P to the circle. [CBSE 2017]

A circle of radius 10 units is drawn with (8,6) as the centre. At which of the given points does the circle pass through the co-ordinate axes?

In the figure, DE is parallel to BC and ADDB=32. Area of ΔDEF is 81cm2. Area of ΔCFB is .

Question 6Find the angle measure x in the following figures:

The 5th term of the Arithematic sequence is 9.its 9th term is 5.what is the common difference?what is the 14th term?

The area of a rectangle gets reduced by 67 square metres,when its length is increased by 3 m and breadth is decreased by 4m.If the length is reduced by 1 m and breadth is increased by 4m,the area is increased by 89 square metres.Find the dimensions of the rectangle.

A cylindrical vessel with internal diameter 10 cm and height 10.5 cm is full of water. A solid cone of base diameter 7 cm and height 6 cm is completely immersed in water. Find the value of water (i) displaced out of the cylinder (ii) left in the cylinder. (Take π 22/7)

Cot theta + cosec theta - 1 / cot theta - cosec theta + 1 is equal to

The table below shows the salaries of 280 persons : Salary(In thousand Rs.)No. of Persons5−104910−1513315−206320−251525−30630−35735−40440−45245−501 Calculate the median salary of the data.

In a class test, the sum of Shefali's marks in Mathematics and English is 30. Had she got 2 marks more in Mathematics and 3 marks less in English, the product of her marks would have been 210. Find her marks in two subjects.