32581 + Interview Questions in Mathematics

1.	If the area of a sector POK is 100 π sq.units and ∠ POK = 49o , then find the radius of sector
Answer» If the area of a sector POK is 100 π sq.units and ∠ POK = 49^o, then find the radius of sector

Discussion

2.	Find the equation of the line which passes through the point P (4, 2) and perpendicular to the line 5 – 12 – 9 =0.
Answer» Find the equation of the line which passes through the point P (4, 2) and perpendicular to the line 5 – 12 – 9 =0.

Discussion

3.	Identify the adverb form of the word. Variety
Answer» Identify the adverb form of the word. Variety

Discussion

4.	The practise hours of Virat Kohli for the World Cup 2019 in a day for a particular week is given below. Find the average time he practises in a day up to 2 decimals. 9, 10, 8, 12, 15, 7, 6
Answer» The practise hours of Virat Kohli for the World Cup 2019 in a day for a particular week is given below. Find the average time he practises in a day up to 2 decimals. 9, 10, 8, 12, 15, 7, 6

4.

The practise hours of Virat Kohli for the World Cup 2019 in a day for a particular week is given below. Find the average time he practises in a day up to 2 decimals. 9, 10, 8, 12, 15, 7, 6

Answer»

The practise hours of Virat Kohli for the World Cup 2019 in a day for a particular week is given below. Find the average time he practises in a day up to 2 decimals.

9, 10, 8, 12, 15, 7, 6

Discussion

5.	If A=⎡⎢⎣012123234⎤⎥⎦ and B=⎡⎢⎣1−2−102−1⎤⎥⎦, then what would be third element in the second column of matrix AB?
Answer» If $A = ⎡ ⎢ ⎣ \begin{matrix} 0 & 1 & 2 1 & 2 & 3 2 & 3 & 4 \end{matrix} ⎤ ⎥ ⎦$ and $B = ⎡ ⎢ ⎣ \begin{matrix} 1 & - 2 - 1 & 0 2 & - 1 \end{matrix} ⎤ ⎥ ⎦$ , then what would be third element in the second column of matrix AB?

Discussion

6.	The product of 2 consecutive positive numbers is 56. Solve this problem using completing the square method of quadratic equation. Write the equation obtained by completing the square and also write the larger of the 2 numbers.
Answer» The product of 2 consecutive positive numbers is 56. Solve this problem using completing the square method of quadratic equation. Write the equation obtained by completing the square and also write the larger of the 2 numbers.

Discussion

7.	The diameters of the lower and upper ends of a bucket in the form of a frustum of a cone are 10 cm and 30 cm respectively. If its height is 24 cm, find : (i) The area of the metal sheet used to make the bucket. (ii) Why we should avoid the bucket made by ordinary plastic ?
Answer» The diameters of the lower and upper ends of a bucket in the form of a frustum of a cone are 10 cm and 30 cm respectively. If its height is 24 cm, find : (i) The area of the metal sheet used to make the bucket. (ii) Why we should avoid the bucket made by ordinary plastic ?

Discussion

8.	How to guess out - whether to useHCForLCMin a question.
Answer» How to guess out - whether to useHCForLCMin a question.

Discussion

9.	In a △ABC,∠A=x∘,∠B=(3x−2)∘,∠C=y∘. If 3y – 5x = 30. Prove that the triangle is right angled.
Answer» In a $△ A B C, ∠ A = x^{\circ}, ∠ B = (3 x - 2)^{\circ}, ∠ C = y^{\circ}$ . If 3y – 5x = 30. Prove that the triangle is right angled.

Discussion

10.	A box contains cards numbered 3, 5, 7, 9, ..., 35,37. A card is drawn at random from the box. Find the probability that the number on the card is a prime number.
Answer» A box contains cards numbered 3, 5, 7, 9, ..., 35,37. A card is drawn at random from the box. Find the probability that the number on the card is a prime number.

Discussion

11.	Let ABCD be a square of side 2a. Find the coordinates of the vertices of this sqaure when (i) A coincides with the origin and AB and AD are along OX and OY respectively. (ii) The centre of the square is at the origin and coordinate axes are parallel to the sides AB and AD respectively.
Answer» Let ABCD be a square of side 2a. Find the coordinates of the vertices of this sqaure when (i) A coincides with the origin and AB and AD are along OX and OY respectively. (ii) The centre of the square is at the origin and coordinate axes are parallel to the sides AB and AD respectively.

11.

Let ABCD be a square of side 2a. Find the coordinates of the vertices of this sqaure when (i) A coincides with the origin and AB and AD are along OX and OY respectively. (ii) The centre of the square is at the origin and coordinate axes are parallel to the sides AB and AD respectively.

Answer»

Let ABCD be a square of side 2a. Find the coordinates of the vertices of this sqaure when

(i) A coincides with the origin and AB and AD are along OX and OY respectively.

(ii) The centre of the square is at the origin and coordinate axes are parallel to the sides AB and AD respectively.

Discussion

12.	The sum of the first 7 terms of an AP is 49 and the sum of its first 17 terms is 289. Find the sum of its first n terms.
Answer» The sum of the first 7 terms of an AP is 49 and the sum of its first 17 terms is 289. Find the sum of its first n terms.

Discussion

13.	Ayush starts walking from his house to office, Instead of going to the office directly, he goes to a bank first, from there to his daughter's school and then reaches the office. What is the extra distance traveled by Ayush in reaching the office? (Assume that all distances covered are in straight lines.) If the house is situated at (2, 4), bank at (5, 8), school at (13, 14) and office at (13,26) and coordinated are in kilometers.
Answer» Ayush starts walking from his house to office, Instead of going to the office directly, he goes to a bank first, from there to his daughter's school and then reaches the office. What is the extra distance traveled by Ayush in reaching the office? (Assume that all distances covered are in straight lines.) If the house is situated at (2, 4), bank at (5, 8), school at (13, 14) and office at (13,26) and coordinated are in kilometers.

Discussion

14.	Question 02. In calculating the mean of grouped data, grouped in classes of equal width, we may use the formula, ¯x=a+∑fidi∑fi where, a is the assumed mean, a must be one of the mid - point of classes. Is the last statement correct ? Justify your answer.
Answer» Question 02. In calculating the mean of grouped data, grouped in classes of equal width, we may use the formula, $¯ x = a + \frac{\sum f_{i} d_{i}}{\sum f_{i}}$ where, a is the assumed mean, a must be one of the mid - point of classes. Is the last statement correct ? Justify your answer.

Discussion

15.	Question 4 Prepare a continuous grouped frequency distribution from the following data. Mid-PointFrequency5415825133512456 Also, find the size of class intervals.
Answer» Question 4 Prepare a continuous grouped frequency distribution from the following data. $\begin{matrix} Mid-Point & Frequency 5 & 4 15 & 8 25 & 13 35 & 12 45 & 6 \end{matrix}$ Also, find the size of class intervals.

Discussion

16.	Simplify (x3−3x2−x)(x2−3x+1)
Answer» Simplify $(x^{3} - 3 x^{2} - x) (x^{2} - 3 x + 1)$

Discussion

17.	If the distance between points P (x, 2) and Q (3, –6) is 10 units, then x =
Answer» If the distance between points P (x, 2) and Q (3, –6) is 10 units, then x =

Discussion

18.	The distance between points (a + b, b + c) and (a – b, c – b) is :
Answer» The distance between points (a + b, b + c) and (a – b, c – b) is :

Discussion

19.	Question 67 Solve the following: 3x−x−23=4−x−14
Answer» Question 67 Solve the following: $3 x - \frac{x - 2}{3} = 4 - \frac{x - 1}{4}$

19.

Question 67 Solve the following: 3x−x−23=4−x−14

Answer»

Question 67

Solve the following:

$3 x - \frac{x - 2}{3} = 4 - \frac{x - 1}{4}$

Discussion

20.	Prove that the points A (1, 7), B (4, 2), C (-1, -1) and D (-4, 4) are the vertices of a square.
Answer» Prove that the points A (1, 7), B (4, 2), C (-1, -1) and D (-4, 4) are the vertices of a square.

Discussion

21.	The p+q term of a GP is m and its p-q term is n show that its p term=√mn.
Answer» The p+q term of a GP is m and its p-q term is n show that its p term=√mn.

Discussion

22.	In fig., O is the center of the circle, PA and PB are tangent segments. Show that the quadrilateral AOBP is cyclic.
Answer» In fig., O is the center of the circle, PA and PB are tangent segments. Show that the quadrilateral AOBP is cyclic.

22.

In fig., O is the center of the circle, PA and PB are tangent segments. Show that the quadrilateral AOBP is cyclic.

Answer»

In fig., O is the center of the circle, PA and PB are tangent segments. Show that the quadrilateral AOBP is cyclic.

Discussion

23.	Question 112 (iv) Social Studies Application remembering that 1 AD came immediately after 1 BC, while solving following problems take 1 BC as -1 and 1 AD as +1 Greek Mathematician Archimedes lived between 287 BC and 212 BC and Aristotle lived between 380 BC and 322 BC. Who lived during an earlier period?
Answer» Question 112 (iv) Social Studies Application remembering that 1 AD came immediately after 1 BC, while solving following problems take 1 BC as -1 and 1 AD as +1 Greek Mathematician Archimedes lived between 287 BC and 212 BC and Aristotle lived between 380 BC and 322 BC. Who lived during an earlier period?

23.

Question 112 (iv) Social Studies Application remembering that 1 AD came immediately after 1 BC, while solving following problems take 1 BC as -1 and 1 AD as +1 Greek Mathematician Archimedes lived between 287 BC and 212 BC and Aristotle lived between 380 BC and 322 BC. Who lived during an earlier period?

Answer»

Question 112 (iv)

Social Studies Application remembering that 1 AD came immediately after 1 BC, while solving following problems take 1 BC as -1 and 1 AD as +1
Greek Mathematician Archimedes lived between 287 BC and 212 BC and Aristotle lived between 380 BC and 322 BC. Who lived during an earlier period?

Discussion

24.	A, B and C start a business in partnership in which A invests Rs. 5000, B invests Rs. 6000 and C invests Rs. 7000 for the same amount of time. Total profit earned by this business is Rs. 72,000. However, 50% of the total profit earned is saved by the company. The other 50% is split in between A, B and C in ratios of their capital. A gets Rs. 10,000 from the profit distributed among the three. Is this statement false?
Answer» A, B and C start a business in partnership in which A invests Rs. 5000, B invests Rs. 6000 and C invests Rs. 7000 for the same amount of time. Total profit earned by this business is Rs. 72,000. However, 50% of the total profit earned is saved by the company. The other 50% is split in between A, B and C in ratios of their capital. A gets Rs. 10,000 from the profit distributed among the three. Is this statement false?

24.

A, B and C start a business in partnership in which A invests Rs. 5000, B invests Rs. 6000 and C invests Rs. 7000 for the same amount of time. Total profit earned by this business is Rs. 72,000. However, 50% of the total profit earned is saved by the company. The other 50% is split in between A, B and C in ratios of their capital. A gets Rs. 10,000 from the profit distributed among the three. Is this statement false?

Answer»

A, B and C start a business in partnership in which A invests Rs. 5000, B invests Rs. 6000 and C invests Rs. 7000 for the same amount of time. Total profit earned by this business is Rs. 72,000. However, 50% of the total profit earned is saved by the company. The other 50% is split in between A, B and C in ratios of their capital.

A gets Rs. 10,000 from the profit distributed among the three. Is this statement false?

Discussion

25.	If the sum of any integer in between 100 and 1000 is subtracted from that integer,then the result is always divisible by?
Answer» If the sum of any integer in between 100 and 1000 is subtracted from that integer,then the result is always divisible by?

Discussion

26.	Edward opened a Recurring deposit account in a bank. He deposited ₹300 per month for 2 years. At the time of maturity he received ₹7725. What was the rate of interest?
Answer» Edward opened a Recurring deposit account in a bank. He deposited ₹300 per month for 2 years. At the time of maturity he received ₹7725. What was the rate of interest?

Discussion

27.	If ax2 + bx + c, a ≠ o is factorizable into product of two linear factors, then roots of ax2 + bx + c = 0 can be found by equating each factor to
Answer» If ax² + bx + c, a ≠ o is factorizable into product of two linear factors, then roots of ax² + bx + c = 0 can be found by equating each factor to

Discussion

28.	The difference of a number and its reciprocal is 1.5. Then, the number is/are:
Answer» The difference of a number and its reciprocal is 1.5. Then, the number is/are:

Discussion

29.	Construct a line segment of length 10cm. From one end, draw a circle of radius 4cm and draw a circle of radius 5cm from the other end. Now, draw tangents to both circles from the centre of the other circle. [4 MARKS]
Answer» Construct a line segment of length 10cm. From one end, draw a circle of radius 4cm and draw a circle of radius 5cm from the other end. Now, draw tangents to both circles from the centre of the other circle. [4 MARKS]

Discussion

30.	If a, b and c are the side lengths of the triangle such that a+b+ca−b−c=54.The perimeter of the triangle will be:
Answer» If a, b and c are the side lengths of the triangle such that $\frac{a + b + c}{a - b - c} = \frac{5}{4}$ .The perimeter of the triangle will be:

Discussion

31.	Mr. Tiwari receives ₹6455 at the end of one year at the rate of 14% per annum in a recurring deposit account. What is his monthly installment (in ₹)?500
Answer» Mr. Tiwari receives ₹6455 at the end of one year at the rate of 14% per annum in a recurring deposit account. What is his monthly installment (in ₹)? 500

Discussion

32.	The 10th term from the end in the AP 5,8,11 is .......95 then find the number of terms.
Answer» The 10th term from the end in the AP 5,8,11 is .......95 then find the number of terms.

Discussion

33.	In the figure, AB is the diameter and AC is a chord of a circle. The tangent at C intersects AB produced at D. If ∠CAB = 34o, find ∠CDA.
Answer» In the figure, AB is the diameter and AC is a chord of a circle. The tangent at C intersects AB produced at D. If ∠CAB = 34^o, find ∠CDA.

33.

In the figure, AB is the diameter and AC is a chord of a circle. The tangent at C intersects AB produced at D. If ∠CAB = 34o, find ∠CDA.

Answer»

In the figure, AB is the diameter and AC is a chord of a circle. The tangent at C intersects AB produced at D. If ∠CAB = 34^o, find ∠CDA.

Discussion

34.	Two circles touch each other internally at a point P. A chord AB of the bigger circle intersects the other circle in C and D. Prove that : ∠ CPA = ∠DPB.
Answer» Two circles touch each other internally at a point P. A chord AB of the bigger circle intersects the other circle in C and D. Prove that : $∠ C P A = ∠ D P B$ .

34.

Two circles touch each other internally at a point P. A chord AB of the bigger circle intersects the other circle in C and D. Prove that : ∠ CPA = ∠DPB.

Answer»

Two circles touch each other internally at a point P. A chord AB of the bigger circle intersects the other circle in C and D. Prove that : $∠ C P A = ∠ D P B$ .

Discussion

35.	Relationship between series of a cubic polynomial
Answer» Relationship between series of a cubic polynomial

Discussion

36.	Number of cells produced after mitosis.
Answer» Number of cells produced after mitosis.

Discussion

37.	In which of the following cases must the borrower pay back the loan with his/her own savings?
Answer» In which of the following cases must the borrower pay back the loan with his/her own savings?

Discussion

38.	Question 1 Find the area of the shaded region in Fig. 12.19, if PQ = 24 cm, PR = 7 cm and O is the centre of the circle.
Answer» Question 1 Find the area of the shaded region in Fig. 12.19, if PQ = 24 cm, PR = 7 cm and O is the centre of the circle.

Discussion

39.	Question 7 (v) Solve the following pair of linear equations. 152x - 378y = - 74 - 378x + 152y = - 604
Answer» Question 7 (v) Solve the following pair of linear equations. 152x - 378y = - 74 - 378x + 152y = - 604

Discussion

40.	If the height of a square pyramid is 10 m and its base edge is 12 m long, then find its volume.
Answer» If the height of a square pyramid is 10 m and its base edge is 12 m long, then find its volume.

Discussion

41.	In the given figure triangle ABC is circumscribed in a circle of radius 10 cm. The value of ABsinC is equal to
Answer» In the given figure triangle ABC is circumscribed in a circle of radius 10 cm. The value of $\frac{A B}{s i n C}$ is equal to

41.

In the given figure triangle ABC is circumscribed in a circle of radius 10 cm. The value of ABsinC is equal to

Answer»

In the given figure triangle ABC is circumscribed in a circle of radius 10 cm. The value of $\frac{A B}{s i n C}$ is equal to

Discussion

42.	Question 11 Which term of the A.P. 3, 15, 27, 39, … will be 132 more than its 54th term?
Answer» Question 11 Which term of the A.P. 3, 15, 27, 39, … will be 132 more than its $54^{t h}$ term?

Discussion

43.	Question 1 (iv) Solve the following pair of linear equations by the elimination method and the substitution method: x2+2y3=−1 and x−y3=3
Answer» Question 1 (iv) Solve the following pair of linear equations by the elimination method and the substitution method: $\frac{x}{2} + \frac{2 y}{3} = - 1$ and $x - \frac{y}{3} = 3$

Discussion

44.	Given ABAC = QRPR, and QRQP = ABBC. Choose the correct option
Answer» Given $\frac{A B}{A C}$ = $\frac{Q R}{P R}$ , and $\frac{Q R}{Q P}$ = $\frac{A B}{B C}$ . Choose the correct option

Discussion

45.	In a right angled △ABC, a perpendicular BD is drawn on to the largest side from the opposite vertex. Which of the following does NOT give the ratios of the areas of △ABD and △ BCD?
Answer» In a right angled $△$ ABC, a perpendicular BD is drawn on to the largest side from the opposite vertex. Which of the following does NOT give the ratios of the areas of $△$ ABD and $△$ BCD?

Discussion

46.	You have an eight-faced die. In this die, one of the faces contains 1, two faces contain 2, three faces contain 3 and other faces contain a 4 and a 5 respectively. What is the number of favourable outcomes of obtaining a 3, while a dice is thrown?
Answer» You have an eight-faced die. In this die, one of the faces contains 1, two faces contain 2, three faces contain 3 and other faces contain a 4 and a 5 respectively. What is the number of favourable outcomes of obtaining a 3, while a dice is thrown?

Discussion

47.	Question 6 A cottage industry produces a certain number of pottery articles in a day. It was observed on a particular day that the cost of production of each article (in rupees) was 3 more than twice the number of articles produced on that day. If the total cost of production on that day was Rs 90, find the number of articles produced and the cost of each article.
Answer» Question 6 A cottage industry produces a certain number of pottery articles in a day. It was observed on a particular day that the cost of production of each article (in rupees) was 3 more than twice the number of articles produced on that day. If the total cost of production on that day was Rs 90, find the number of articles produced and the cost of each article.

Discussion

48.	While finding the roots of the quadratic equation 3x2- 2√6 x + 2 = 0 using factorization method, the given equation is reduced to the form (ax+b)(cx+d). The values of a and d are
Answer» While finding the roots of the quadratic equation 3 $x^{2}$ - 2 $\sqrt{6}$ x + 2 = 0 using factorization method, the given equation is reduced to the form (ax+b)(cx+d). The values of a and d are

Discussion

49.	A spherical clay model of diameter 12cm is moulded into a frustum by a professional engineer with diameters 15cm and 10cm. What will be the slant height of the frustum obtained?
Answer» A spherical clay model of diameter 12cm is moulded into a frustum by a professional engineer with diameters 15cm and 10cm. What will be the slant height of the frustum obtained?

Discussion

50.	Express 5005 as a product of its prime factors.
Answer» Express 5005 as a product of its prime factors.

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

If the area of a sector POK is 100 π sq.units and ∠ POK = 49o , then find the radius of sector

Find the equation of the line which passes through the point P (4, 2) and perpendicular to the line 5 – 12 – 9 =0.

Identify the adverb form of the word. Variety

The practise hours of Virat Kohli for the World Cup 2019 in a day for a particular week is given below. Find the average time he practises in a day up to 2 decimals. 9, 10, 8, 12, 15, 7, 6

If A=⎡⎢⎣012123234⎤⎥⎦ and B=⎡⎢⎣1−2−102−1⎤⎥⎦, then what would be third element in the second column of matrix AB?

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

The diameters of the lower and upper ends of a bucket in the form of a frustum of a cone are 10 cm and 30 cm respectively. If its height is 24 cm, find : (i) The area of the metal sheet used to make the bucket. (ii) Why we should avoid the bucket made by ordinary plastic ?

How to guess out - whether to useHCForLCMin a question.

In a △ABC,∠A=x∘,∠B=(3x−2)∘,∠C=y∘. If 3y – 5x = 30. Prove that the triangle is right angled.

A box contains cards numbered 3, 5, 7, 9, ..., 35,37. A card is drawn at random from the box. Find the probability that the number on the card is a prime number.

Let ABCD be a square of side 2a. Find the coordinates of the vertices of this sqaure when (i) A coincides with the origin and AB and AD are along OX and OY respectively. (ii) The centre of the square is at the origin and coordinate axes are parallel to the sides AB and AD respectively.

The sum of the first 7 terms of an AP is 49 and the sum of its first 17 terms is 289. Find the sum of its first n terms.

Question 02. In calculating the mean of grouped data, grouped in classes of equal width, we may use the formula, ¯x=a+∑fidi∑fi where, a is the assumed mean, a must be one of the mid - point of classes. Is the last statement correct ? Justify your answer.

Question 4 Prepare a continuous grouped frequency distribution from the following data. Mid-PointFrequency5415825133512456 Also, find the size of class intervals.

Simplify (x3−3x2−x)(x2−3x+1)

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

The distance between points (a + b, b + c) and (a – b, c – b) is :

Question 67 Solve the following: 3x−x−23=4−x−14

Prove that the points A (1, 7), B (4, 2), C (-1, -1) and D (-4, 4) are the vertices of a square.

The p+q term of a GP is m and its p-q term is n show that its p term=√mn.

In fig., O is the center of the circle, PA and PB are tangent segments. Show that the quadrilateral AOBP is cyclic.

If the sum of any integer in between 100 and 1000 is subtracted from that integer,then the result is always divisible by?

Edward opened a Recurring deposit account in a bank. He deposited ₹300 per month for 2 years. At the time of maturity he received ₹7725. What was the rate of interest?

If ax2 + bx + c, a ≠ o is factorizable into product of two linear factors, then roots of ax2 + bx + c = 0 can be found by equating each factor to

The difference of a number and its reciprocal is 1.5. Then, the number is/are:

Construct a line segment of length 10cm. From one end, draw a circle of radius 4cm and draw a circle of radius 5cm from the other end. Now, draw tangents to both circles from the centre of the other circle. [4 MARKS]

If a, b and c are the side lengths of the triangle such that a+b+ca−b−c=54.The perimeter of the triangle will be:

Mr. Tiwari receives ₹6455 at the end of one year at the rate of 14% per annum in a recurring deposit account. What is his monthly installment (in ₹)?500

The 10th term from the end in the AP 5,8,11 is .......95 then find the number of terms.

In the figure, AB is the diameter and AC is a chord of a circle. The tangent at C intersects AB produced at D. If ∠CAB = 34o, find ∠CDA.

Two circles touch each other internally at a point P. A chord AB of the bigger circle intersects the other circle in C and D. Prove that : ∠ CPA = ∠DPB.

Relationship between series of a cubic polynomial

Number of cells produced after mitosis.

In which of the following cases must the borrower pay back the loan with his/her own savings?

Question 1 Find the area of the shaded region in Fig. 12.19, if PQ = 24 cm, PR = 7 cm and O is the centre of the circle.

Question 7 (v) Solve the following pair of linear equations. 152x - 378y = - 74 - 378x + 152y = - 604

If the height of a square pyramid is 10 m and its base edge is 12 m long, then find its volume.

In the given figure triangle ABC is circumscribed in a circle of radius 10 cm. The value of ABsinC is equal to

Question 11 Which term of the A.P. 3, 15, 27, 39, … will be 132 more than its 54th term?

Question 1 (iv) Solve the following pair of linear equations by the elimination method and the substitution method: x2+2y3=−1 and x−y3=3

Given ABAC = QRPR, and QRQP = ABBC. Choose the correct option

In a right angled △ABC, a perpendicular BD is drawn on to the largest side from the opposite vertex. Which of the following does NOT give the ratios of the areas of △ABD and △ BCD?

You have an eight-faced die. In this die, one of the faces contains 1, two faces contain 2, three faces contain 3 and other faces contain a 4 and a 5 respectively. What is the number of favourable outcomes of obtaining a 3, while a dice is thrown?

While finding the roots of the quadratic equation 3x2- 2√6 x + 2 = 0 using factorization method, the given equation is reduced to the form (ax+b)(cx+d). The values of a and d are

A spherical clay model of diameter 12cm is moulded into a frustum by a professional engineer with diameters 15cm and 10cm. What will be the slant height of the frustum obtained?

Express 5005 as a product of its prime factors.

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