32581 + Interview Questions in Mathematics

1.	If a and b are the zeros of polynomial kx2+ 4 x + 4 show that a2+ b2 = 24 and also find value of k.
Answer» If a and b are the zeros of polynomial kx2+ 4 x + 4 show that a2+ b2 = 24 and also find value of k.

1.

If a and b are the zeros of polynomial kx2+ 4 x + 4 show that a2+ b2 = 24 and also find value of k.

Answer»

If a and b are the zeros of polynomial kx2+ 4 x + 4 show that

a2+ b2 = 24 and also find value of k.

2.	A card is drawn at random from a well shuffled deck of 52 cards. Find the probability that the card is a jack and a ten.
Answer» A card is drawn at random from a well shuffled deck of 52 cards. Find the probability that the card is a jack and a ten.

Discussion

3.	If a circle of constant radius 3k passes through the origin ‘O’ and meets co-ordinate axes at A and B then the locus of the centroid of the triangle OAB is
Answer» If a circle of constant radius 3k passes through the origin ‘O’ and meets co-ordinate axes at A and B then the locus of the centroid of the triangle OAB is

Discussion

4.	The number lies between 100000 and 110000 which is exactly divisible by 8,15 and 21 is
Answer» The number lies between 100000 and 110000 which is exactly divisible by 8,15 and 21 is

Discussion

5.	44.Find the equation of a line such that the Coefficient of x is equal to negative of the coefficient of y and the line passes through the origin.
Answer» 44.Find the equation of a line such that the Coefficient of x is equal to negative of the coefficient of y and the line passes through the origin.

Discussion

6.

Find the mean of the following frequency distribution using step-deviation method. Class 0−10 10−20 20−30 30−40 40−50 Frequency 7 10 15 8 10

Answer»

Find the mean of the following frequency distribution using step-deviation method.

Class	0−10	10−20	20−30	30−40	40−50
Frequency	7	10	15	8	10

Discussion

7.	3 people A, B and C are sitting in a circular fashion. Find the probability that A and B do not sit together.
Answer» 3 people A, B and C are sitting in a circular fashion. Find the probability that A and B do not sit together.

Discussion

8.	A well of whose diameter is 3m is dug 14m deep. The earth taken out of it is evenly spread out in the form of a circular ring of width 4m to form an embankment. Find the height of the embankment.
Answer» A well of whose diameter is 3m is dug 14m deep. The earth taken out of it is evenly spread out in the form of a circular ring of width 4m to form an embankment. Find the height of the embankment.

8.

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

Answer»

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

Discussion

9.	Question 65 Observe all the four triangles FAB, EAB, DAB and CAB as shown in the figure. State whether the statement is True or False. All triangles may not have the same perimeter.
Answer» Question 65 Observe all the four triangles FAB, EAB, DAB and CAB as shown in the figure. State whether the statement is True or False. All triangles may not have the same perimeter.

9.

Question 65 Observe all the four triangles FAB, EAB, DAB and CAB as shown in the figure. State whether the statement is True or False. All triangles may not have the same perimeter.

Answer»

Question 65

Observe all the four triangles FAB, EAB, DAB and CAB as shown in the figure.

State whether the statement is True or False.

All triangles may not have the same perimeter.

Discussion

10.	The radii of two circles are 8 cm and 6 cm respectively. Find the radius of the circle having its area equal to the sum of the areas of the two circles.
Answer» The radii of two circles are 8 cm and 6 cm respectively. Find the radius of the circle having its area equal to the sum of the areas of the two circles.

Discussion

11.	Prove that 52 is irrational.
Answer» Prove that $5 \sqrt{2}$ is irrational.

Discussion

12.	Find the point of intersection of the lines 4x + 3y = 1 and 3x - y + 9 = 0. If this point lies on the line (2k - 1) x - 2y = 4; find the value of k.
Answer» Find the point of intersection of the lines 4x + 3y = 1 and 3x - y + 9 = 0. If this point lies on the line (2k - 1) x - 2y = 4; find the value of k.

Discussion

13.	A die is thrown , what is the probability of getting a prime number
Answer» A die is thrown , what is the probability of getting a prime number

Discussion

14.	If x sin3θ+y cos3θ=sinθ cosθ and x sinθ=y cosθ, then x2+y2= ___.
Answer» If $x s i n^{3} θ + y c o s^{3} θ = s i n θ c o s θ$ and $x s i n θ = y c o s θ,$ then $x^{2} + y^{2} =$ ___.

Discussion

15.	Point P, Q, R and S divide the line segment joining the points A(1, 2) and B(6, 7) in five equal parts.Find the coordinates of the points P, Q and R.
Answer» Point P, Q, R and S divide the line segment joining the points A(1, 2) and B(6, 7) in five equal parts. Find the coordinates of the points P, Q and R.

Discussion

16.

The following balances were extracted from the books of Mr. Din Dayal as at 31st March, 2014 : Particulars ₹ Particulars ₹ Stock at the beginning 41,000 Purchases 2,20,000 Rent 9,600 Sales 2,80,000 Salary 20,000 Returns (Dr.) 6,000 Bad-Debts 400 Returns (Cr.) 2,000 Provision for Doubtful Debts 3,000 Carriage Inward 3,500 Travelling Expenses 1,400 Carriage Outward 500 Insurance Premium 1,800 Capital 1,75,000 Proprietor's Withdrawals 4,000 Loan (Cr.) 20,000 Telephone Charges 7,300 Debtors 40,000 Printing and Advertising 5,000 Creditors 27,000 Commission (Cr.) 6,000 Investments 5,000 Rent from Sublet 4,800 Interest on Investments 600 Land and Building 1,40,000 Furniture 10,000 Cash 2,900 Prepare Trading and Profit & Loss Account for the year and a Balance Sheet as at 31st March, 2014, after taking into account the following:(1) Stock was valued at ₹ 75,000 on 31st March, 2014. You are informed that a fire occurred on 28th March, 2014 in the godown and stock of the value of ₹ 10,000 was destroyed. Insurance Company admitted a claim of 75%.(2) One-third of the commission received is in respect of work to be done next year.(3) Create a provision of 5% for Doubtful Debts.(4) 50% of Printing and Advertising is to be carried forward as a charge in the following year.(5) ₹ 900 is due for interest on loan.(6) Provide for manager's Commission at 10% on Net Profit before charging such commission.

Answer» The following balances were extracted from the books of Mr. Din Dayal as at 31st March, 2014 :

Particulars	₹	Particulars	₹
Stock at the beginning	41,000	Purchases	2,20,000
Rent	9,600	Sales	2,80,000
Salary	20,000	Returns (Dr.)	6,000
Bad-Debts	400	Returns (Cr.)	2,000
Provision for Doubtful Debts	3,000	Carriage Inward	3,500
Travelling Expenses	1,400	Carriage Outward	500
Insurance Premium	1,800	Capital	1,75,000
Proprietor's Withdrawals	4,000	Loan (Cr.)	20,000
Telephone Charges	7,300	Debtors	40,000
Printing and Advertising	5,000	Creditors	27,000
Commission (Cr.)	6,000	Investments	5,000
Rent from Sublet	4,800	Interest on Investments	600
Land and Building	1,40,000
Furniture	10,000
Cash	2,900

Prepare Trading and Profit & Loss Account for the year and a Balance Sheet as at 31st March, 2014, after taking into account the following:

(1) Stock was valued at ₹ 75,000 on 31st March, 2014. You are informed that a fire occurred on 28th March, 2014 in the godown and stock of the value of ₹ 10,000 was destroyed. Insurance Company admitted a claim of 75%.

(2) One-third of the commission received is in respect of work to be done next year.

(3) Create a provision of 5% for Doubtful Debts.

(4) 50% of Printing and Advertising is to be carried forward as a charge in the following year.

(5) ₹ 900 is due for interest on loan.

(6) Provide for manager's Commission at 10% on Net Profit before charging such commission.

Discussion

17.	The ratio between the length and the breadth of a rectangle field is 3 : 2. If only the length is increased by 5 metres , the new area of field will be 2600 sq. metres . What is the breadth of the rectangle field?
Answer» The ratio between the length and the breadth of a rectangle field is 3 : 2. If only the length is increased by 5 metres , the new area of field will be 2600 sq. metres . What is the breadth of the rectangle field?

Discussion

18.	Which of the following sets of data make FG \|\| BC?(i) AB = 14, AF = 6, AC = 7, AG = 3.(ii) AB = 12, FB = 3, AC = 8, AG = 6.(iii) AF = 6, FB = 5, AG = 9, GC = 8.
Answer» Which of the following sets of data make FG \|\| BC? (i) AB = 14, AF = 6, AC = 7, AG = 3. (ii) AB = 12, FB = 3, AC = 8, AG = 6. (iii) AF = 6, FB = 5, AG = 9, GC = 8.

18.

Which of the following sets of data make FG || BC?(i) AB = 14, AF = 6, AC = 7, AG = 3.(ii) AB = 12, FB = 3, AC = 8, AG = 6.(iii) AF = 6, FB = 5, AG = 9, GC = 8.

Answer»

Which of the following sets of data make FG || BC?

(i) AB = 14, AF = 6, AC = 7, AG = 3.

(ii) AB = 12, FB = 3, AC = 8, AG = 6.

(iii) AF = 6, FB = 5, AG = 9, GC = 8.

Discussion

19.	23.Prove that the locus of the mid points of chords of length 2d unit of the hyperbola xy=c² is (x²+y²)(xy–c²)=d²xy.
Answer» 23.Prove that the locus of the mid points of chords of length 2d unit of the hyperbola xy=c² is (x²+y²)(xy–c²)=d²xy.

Discussion

20.	21 glass spheres, each of radius 2 cm are packed in a cuboidal box of internal dimensions 16 cm × 8 cm × 8 cm and, then the box is filled with water. Find the volume of water filled in the box.
Answer» 21 glass spheres, each of radius 2 cm are packed in a cuboidal box of internal dimensions 16 cm × 8 cm × 8 cm and, then the box is filled with water. Find the volume of water filled in the box.

Discussion

21.	If mode and median of the data is 21 and 19 ,then the mean is
Answer» If mode and median of the data is 21 and 19 ,then the mean is

Discussion

22.	If the line (2x + 3y + 4) +λ (6x – y + 12) = 0 is perpendicular to the line 7x + y – 4 = 0, then λ = _____________.
Answer» If the line (2x + 3y + 4) +λ (6x – y + 12) = 0 is perpendicular to the line 7x + y – 4 = 0, then λ = _____________.

Discussion

23.	Fill In the Blanks If Mean : Median = 2 : 3, then Mode : Mean = ________
Answer» Fill In the Blanks If Mean : Median = 2 : 3, then Mode : Mean = ________

Discussion

24.	If 3 cos θ − 4 sin θ = 2 cos θ + sin θ, find tan θ.
Answer» If 3 cos θ − 4 sin θ = 2 cos θ + sin θ, find tan θ.

Discussion

25.	If the radii of the circular ends of a bucket 28 cm high, are 28 cm and 7 cm, then find its capacity and total surface area. [CBSE 2011]
Answer» If the radii of the circular ends of a bucket 28 cm high, are 28 cm and 7 cm, then find its capacity and total surface area. [CBSE 2011]

Discussion

26.	Find the equation of the set of all points whose distances from (0, 4) are 23 of their distances from the line y = 9.
Answer» Find the equation of the set of all points whose distances from (0, 4) are $\frac{2}{3}$ of their distances from the line y = 9.

Discussion

27.	What is/are the necessary condition(s) for set A to be a proper subset of set B? (i) A ⊂ B (ii) A = B (iii) A ≠ B
Answer» What is/are the necessary condition(s) for set A to be a proper subset of set B? (i) A $\subset$ B (ii) A = B (iii) A $\neq$ B

27.

What is/are the necessary condition(s) for set A to be a proper subset of set B? (i) A ⊂ B (ii) A = B (iii) A ≠ B

Answer»

What is/are the necessary condition(s) for set A to be a proper subset of set B?

(i) A $\subset$ B

(ii) A = B

(iii) A $\neq$ B

Discussion

28.	The angle of depression of a car, standing on the ground, from the top of a 75 m tower, is 30°. The distance of the car from the base of the tower (in metres) is(a) 253 (b) 503 (c) 753 (d) 150 [CBSE 2013]
Answer» The angle of depression of a car, standing on the ground, from the top of a 75 m tower, is 30°. The distance of the car from the base of the tower (in metres) is (a) $25 \sqrt{3}$ (b) $50 \sqrt{3}$ (c) $75 \sqrt{3}$ (d) 150 [CBSE 2013]

Discussion

29.	The value of cos210∘−cos10∘cos50∘+cos250∘ is equal to
Answer» The value of ${cos}^{2} 10^{\circ} - cos 10^{\circ} cos 50^{\circ} + {cos}^{2} 50^{\circ}$ is equal to

Discussion

30.	A store keeper sells a book at 15% gain. Had he sold it for Rs 18 more, he would have gained 18%. Find the cost price of the book.
Answer» A store keeper sells a book at 15% gain. Had he sold it for Rs 18 more, he would have gained 18%. Find the cost price of the book.

Discussion

31.	If P=∑r=4n−1r=3n[r2+13n2−7rnn3] and Q=∑r=4nr=3n+1[r2+13n2−7rnn3] then
Answer» If $P = \sum_{r = 3 n}^{r = 4 n - 1} [\frac{r^{2} + 13 n^{2} - 7 r n}{n^{3}}]$ and $Q = \sum_{r = 3 n + 1}^{r = 4 n} [\frac{r^{2} + 13 n^{2} - 7 r n}{n^{3}}]$ then

Discussion

32.	Consider the following statements and choose the correct option. 1) A tangent is a line that touches the circle at one point. 2) A tangent is an extreme case of the secant where the points of intersection coincide.
Answer» Consider the following statements and choose the correct option. 1) A tangent is a line that touches the circle at one point. 2) A tangent is an extreme case of the secant where the points of intersection coincide.

Discussion

33.	If there are 6 kitkat,8delight, 10 perk,9 munch chocolate.In how many ways a child can buy 7 chocolates 7 chocolates
Answer» If there are 6 kitkat,8delight, 10 perk,9 munch chocolate.In how many ways a child can buy 7 chocolates 7 chocolates

Discussion

34.	The value of sin2 29° + sin2 61° is(a) 1(b) 0(c) 2 sin2 29°(d) 2 cos2 61°
Answer» The value of sin² 29° + sin² 61° is (a) 1 (b) 0 (c) 2 sin² 29° (d) 2 cos² 61°

Discussion

35.	If √3sin θ=cos θ, find the value of 3 cos2θ+2 cos θ3 cos θ+2
Answer» If $\sqrt{3} sin θ = cos θ$ , find the value of $\frac{3 {cos}^{2} θ + 2 cos θ}{3 cos θ + 2}$

Discussion

36.	A(h,-6) , B(2,3) and C(-6,k) are co-ordinates of vertices of a triangle whose centroid is G(1,5). What is the values of (h - k)?-11
Answer» A(h,-6) , B(2,3) and C(-6,k) are co-ordinates of vertices of a triangle whose centroid is G(1,5). What is the values of (h - k)? -11

Discussion

37.	Two poles, AB of length a meters and CD of length a+b (b≠a) meters are erected at the same horizontal level with bases at B and D. If BD=x and tan∠ACB=12, then
Answer» Two poles, $A B$ of length $a$ meters and $C D$ of length $a + b (b \neq a)$ meters are erected at the same horizontal level with bases at $B$ and $D$ . If $B D = x$ and $tan ∠ A C B = \frac{1}{2},$ then

Discussion

38.	The sum of a numerator and denominator of a fraction is 18. If the denominator is increased by 2, the fraction reduces to 1/3. Find the fraction.
Answer» The sum of a numerator and denominator of a fraction is 18. If the denominator is increased by 2, the fraction reduces to 1/3. Find the fraction.

Discussion

39.	If 2 cos θ − sin θ = x and cos θ − 3 sin θ = y. Prove that 2x2 + y2 − 2xy = 5.
Answer» If 2 cos θ − sin θ = x and cos θ − 3 sin θ = y. Prove that 2x² + y² − 2xy = 5.

Discussion

40.	The point P(5, 3) was reflected in the origin to get P'. If M is foot of the perpendicular from P to x -axis & N is foot of the perpendicular from P' to x -axis , Name the figure PMP'N
Answer» The point P(5, 3) was reflected in the origin to get P'. If M is foot of the perpendicular from P to x -axis & N is foot of the perpendicular from P' to x -axis , Name the figure PMP'N

Discussion

41.	Question 4 The number of polynomials having zeroes as –2 and 5 is (A) 1 (B) 2 (C) 3 (D) more than 3
Answer» Question 4 The number of polynomials having zeroes as –2 and 5 is (A) 1 (B) 2 (C) 3 (D) more than 3

Discussion

42.	Question 19Subba Rao started work in 1995 at an annual salary of ₹ 5000 and received an increment of ₹ 200 each year. In which year did his income reach ₹ 7000?
Answer» Question 19 Subba Rao started work in 1995 at an annual salary of ₹ 5000 and received an increment of ₹ 200 each year. In which year did his income reach ₹ 7000?

Discussion

43.	Find the value of x.
Answer» Find the value of x.

Discussion

44.	A number when divided by 12 gives 7 as quotient and 9 as remainder. The number is ..............
Answer» A number when divided by 12 gives 7 as quotient and 9 as remainder. The number is ..............

Discussion

45.	Give an example of a number x such that x2 is an irrational number and x3 is a rational number.
Answer» Give an example of a number x such that x² is an irrational number and x³ is a rational number.

Discussion

46.	Three solid spheres of radii 3, 4 and 5 cm respectively are melted and converted into a single solid sphere. Find the radius of this sphere.
Answer» Three solid spheres of radii 3, 4 and 5 cm respectively are melted and converted into a single solid sphere. Find the radius of this sphere.

Discussion

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

Discussion

48.	State True or false.If two coins are tossed simultaneously then the total number of outcomes is 3.
Answer» State True or false. If two coins are tossed simultaneously then the total number of outcomes is 3.

Discussion

49.	The line joining the points (2, 1) and (5, −8) is trisected at the points P and Q. If point P lies on the line 2x − y + k = 0. Find the value of k.
Answer» The line joining the points (2, 1) and (5, −8) is trisected at the points P and Q. If point P lies on the line 2x − y + k = 0. Find the value of k.

Discussion

50.	In an AP first term is 2 and the sum of first 5 terms is 1/4 of next five terms show that 20th term is 112 In an AP first term is 2 and the sum of first 5 terms is 1/4 of next five terms show that 20th term is -112
Answer» In an AP first term is 2 and the sum of first 5 terms is 1/4 of next five terms show that 20th term is 112 In an AP first term is 2 and the sum of first 5 terms is 1/4 of next five terms show that 20th term is -112

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

If a and b are the zeros of polynomial kx2+ 4 x + 4 show that a2+ b2 = 24 and also find value of k.

A card is drawn at random from a well shuffled deck of 52 cards. Find the probability that the card is a jack and a ten.

If a circle of constant radius 3k passes through the origin ‘O’ and meets co-ordinate axes at A and B then the locus of the centroid of the triangle OAB is

The number lies between 100000 and 110000 which is exactly divisible by 8,15 and 21 is

44.Find the equation of a line such that the Coefficient of x is equal to negative of the coefficient of y and the line passes through the origin.

Find the mean of the following frequency distribution using step-deviation method. Class 0−10 10−20 20−30 30−40 40−50 Frequency 7 10 15 8 10

3 people A, B and C are sitting in a circular fashion. Find the probability that A and B do not sit together.

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

Question 65 Observe all the four triangles FAB, EAB, DAB and CAB as shown in the figure. State whether the statement is True or False. All triangles may not have the same perimeter.

The radii of two circles are 8 cm and 6 cm respectively. Find the radius of the circle having its area equal to the sum of the areas of the two circles.

Prove that 52 is irrational.

Find the point of intersection of the lines 4x + 3y = 1 and 3x - y + 9 = 0. If this point lies on the line (2k - 1) x - 2y = 4; find the value of k.

A die is thrown , what is the probability of getting a prime number

If x sin3θ+y cos3θ=sinθ cosθ and x sinθ=y cosθ, then x2+y2= ___.

Point P, Q, R and S divide the line segment joining the points A(1, 2) and B(6, 7) in five equal parts.Find the coordinates of the points P, Q and R.

The ratio between the length and the breadth of a rectangle field is 3 : 2. If only the length is increased by 5 metres , the new area of field will be 2600 sq. metres . What is the breadth of the rectangle field?

Which of the following sets of data make FG || BC?(i) AB = 14, AF = 6, AC = 7, AG = 3.(ii) AB = 12, FB = 3, AC = 8, AG = 6.(iii) AF = 6, FB = 5, AG = 9, GC = 8.

23.Prove that the locus of the mid points of chords of length 2d unit of the hyperbola xy=c² is (x²+y²)(xy–c²)=d²xy.

21 glass spheres, each of radius 2 cm are packed in a cuboidal box of internal dimensions 16 cm × 8 cm × 8 cm and, then the box is filled with water. Find the volume of water filled in the box.

If mode and median of the data is 21 and 19 ,then the mean is

If the line (2x + 3y + 4) +λ (6x – y + 12) = 0 is perpendicular to the line 7x + y – 4 = 0, then λ = _____________.

Fill In the Blanks If Mean : Median = 2 : 3, then Mode : Mean = ________

If 3 cos θ − 4 sin θ = 2 cos θ + sin θ, find tan θ.

If the radii of the circular ends of a bucket 28 cm high, are 28 cm and 7 cm, then find its capacity and total surface area. [CBSE 2011]

Find the equation of the set of all points whose distances from (0, 4) are 23 of their distances from the line y = 9.

What is/are the necessary condition(s) for set A to be a proper subset of set B? (i) A ⊂​ B (ii) A = B (iii) A ≠ B

The angle of depression of a car, standing on the ground, from the top of a 75 m tower, is 30°. The distance of the car from the base of the tower (in metres) is(a) 253 (b) 503 (c) 753 (d) 150 [CBSE 2013]

The value of cos210∘−cos10∘cos50∘+cos250∘ is equal to

A store keeper sells a book at 15% gain. Had he sold it for Rs 18 more, he would have gained 18%. Find the cost price of the book.

If P=∑r=4n−1r=3n[r2+13n2−7rnn3] and Q=∑r=4nr=3n+1[r2+13n2−7rnn3] then

Consider the following statements and choose the correct option. 1) A tangent is a line that touches the circle at one point. 2) A tangent is an extreme case of the secant where the points of intersection coincide.

If there are 6 kitkat,8delight, 10 perk,9 munch chocolate.In how many ways a child can buy 7 chocolates 7 chocolates

The value of sin2 29° + sin2 61° is(a) 1(b) 0(c) 2 sin2 29°(d) 2 cos2 61°

If √3sin θ=cos θ, find the value of 3 cos2θ+2 cos θ3 cos θ+2

A(h,-6) , B(2,3) and C(-6,k) are co-ordinates of vertices of a triangle whose centroid is G(1,5). What is the values of (h - k)?-11

Two poles, AB of length a meters and CD of length a+b (b≠a) meters are erected at the same horizontal level with bases at B and D. If BD=x and tan∠ACB=12, then

The sum of a numerator and denominator of a fraction is 18. If the denominator is increased by 2, the fraction reduces to 1/3. Find the fraction.

If 2 cos θ − sin θ = x and cos θ − 3 sin θ = y. Prove that 2x2 + y2 − 2xy = 5.

The point P(5, 3) was reflected in the origin to get P'. If M is foot of the perpendicular from P to x -axis &amp; N is foot of the perpendicular from P' to x -axis , Name the figure PMP'N

Question 4 The number of polynomials having zeroes as –2 and 5 is (A) 1 (B) 2 (C) 3 (D) more than 3​​​​​​​

Question 19Subba Rao started work in 1995 at an annual salary of ₹ 5000 and received an increment of ₹ 200 each year. In which year did his income reach ₹ 7000?

Find the value of x.

A number when divided by 12 gives 7 as quotient and 9 as remainder. The number is ..............

Give an example of a number x such that x2 is an irrational number and x3 is a rational number.

Three solid spheres of radii 3, 4 and 5 cm respectively are melted and converted into a single solid sphere. Find the radius of this sphere.

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

State True or false.If two coins are tossed simultaneously then the total number of outcomes is 3.

The line joining the points (2, 1) and (5, −8) is trisected at the points P and Q. If point P lies on the line 2x − y + k = 0. Find the value of k.

In an AP first term is 2 and the sum of first 5 terms is 1/4 of next five terms show that 20th term is 112 In an AP first term is 2 and the sum of first 5 terms is 1/4 of next five terms show that 20th term is -112

What is/are the necessary condition(s) for set A to be a proper subset of set B? (i) A ⊂ B (ii) A = B (iii) A ≠ B

The point P(5, 3) was reflected in the origin to get P'. If M is foot of the perpendicular from P to x -axis & N is foot of the perpendicular from P' to x -axis , Name the figure PMP'N

Question 4 The number of polynomials having zeroes as –2 and 5 is (A) 1 (B) 2 (C) 3 (D) more than 3