32581 + Interview Questions in Mathematics Page 163 InterviewSolution

8101.	In a rational number of the form pq, the prime factorisation of q is of the form 2m×5n, where m and n are positive integers. The decimal expansion terminates after ____ decimal places if m>n.
Answer» In a rational number of the form $\frac{p}{q}$ , the prime factorisation of $q$ is of the form $2^{m} \times 5^{n}$ , where $m$ and $n$ are positive integers. The decimal expansion terminates after ____ decimal places if $m > n$ .

Discussion

8102.	A line segment AB was divided in the ratio m:n by making a single ray AX. The number of arcs to be on AX is:
Answer» A line segment AB was divided in the ratio m:n by making a single ray AX. The number of arcs to be on AX is:

Discussion

8103.	Question 02.In calculating the mean of grouped data, grouped in classes of equal width, we may use the formula,¯x=a+∑fidi∑fiwhere, 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

8104.	Objective Questions (MCQ)In the equation ax2+bx+c=0, it is given that D=b2-4ac>0. Then, the roots of the equation are(a) real and equal (b) real and unequal(c) imaginary (d) none of these
Answer» Objective Questions (MCQ) In the equation $a x^{2} + b x + c = 0$ , it is given that $D = (b^{2} - 4 a c) > 0$ . Then, the roots of the equation are (a) real and equal (b) real and unequal (c) imaginary (d) none of these

Discussion

8105.	The length of the curve given in red is called:
Answer» The length of the curve given in red is called:

8105.

The length of the curve given in red is called:

Answer»

The length of the curve given in red is called:

Discussion

8106.	If one root of the quadratic equation 2x2+kx−6=0 is 2, find the value of k. Also, find the other root. [2 MARKS]
Answer» If one root of the quadratic equation $2 x^{2} + k x - 6 = 0$ is 2, find the value of k. Also, find the other root. [2 MARKS]

Discussion

8107.	Draw a circle with radius 4.1 cm. Construct tangents to the circle from a point at a distance 7.3 cm from the centre.
Answer» Draw a circle with radius 4.1 cm. Construct tangents to the circle from a point at a distance 7.3 cm from the centre.

Discussion

8108.

The table below classifies the candidates who took and examination, according to the marks scored by them: Marks Number of Candidates 0 − 10 10 − 20 20 − 30 30 − 40 40 − 50 50 − 60 60 − 70 70 − 80 80 − 90 90 − 100 44 40 35 20 12 10 8 6 4 1 Find the median mark.

Answer»

The table below classifies the candidates who took and examination, according to the marks scored by them:

Marks

Number of Candidates

0 − 10

10 − 20

20 − 30

30 − 40

40 − 50

50 − 60

60 − 70

70 − 80

80 − 90

90 − 100

44

40

35

20

12

10

8

6

4

1

Find the median mark.

Discussion

8109.	Find the ratio of the first quantity to the second.(1) 25 beads, 40 beads (2) 40 rupees, 120 rupees (3) 15 minutes, 1 hour(4) 30 litres, 24 litres (5) 99 kg, 44000 grams (6) 1 litre, 250 ml(7) 60 paise, 1 rupee (8) 750 grams, 12kg (9) 125 cm, 1 metre
Answer» Find the ratio of the first quantity to the second. (1) 25 beads, 40 beads (2) 40 rupees, 120 rupees (3) 15 minutes, 1 hour (4) 30 litres, 24 litres (5) 99 kg, 44000 grams (6) 1 litre, 250 ml (7) 60 paise, 1 rupee (8) 750 grams, $\frac{1}{2}$ kg (9) 125 cm, 1 metre

Discussion

8110.	Using euclid's division algorithm find whether the pair of numbers 847 and 2160 are co primes or not
Answer» Using euclid's division algorithm find whether the pair of numbers 847 and 2160 are co primes or not

Discussion

8111.	the sum to p term of an AP is q and the sum to q terms is p .the sum to p+q term is
Answer» the sum to p term of an AP is q and the sum to q terms is p .the sum to p+q term is

Discussion

8112.	In fig., l and m are two parallel tangents to a circle with centre O, touching the circle at A and B respectively. Another tangent at C intersects the line l at D and m at E. prove that DOE=90∘.
Answer» In fig., l and m are two parallel tangents to a circle with centre O, touching the circle at A and B respectively. Another tangent at C intersects the line l at D and m at E. prove that $D O E = 90^{\circ}$ .

8112.

In fig., l and m are two parallel tangents to a circle with centre O, touching the circle at A and B respectively. Another tangent at C intersects the line l at D and m at E. prove that DOE=90∘.

Answer»

In fig., l and m are two parallel tangents to a circle with centre O, touching the circle at A and B respectively. Another tangent at C intersects the line l at D and m at E. prove that $D O E = 90^{\circ}$ .

Discussion

8113.	If the zeros of the polynomial f(x) = x3 − 3x2 + x + 1 are (a − b), a and (a + b), Find a and b.
Answer» If the zeros of the polynomial f(x) = x³ − 3x² + x + 1 are (a − b), a and (a + b), Find a and b.

Discussion

8114.	A point P is 25 cm away from the centre of a circle and the length of tangent drawn from P to the circle is 24 cm. Find the radius of the circle.
Answer» A point P is 25 cm away from the centre of a circle and the length of tangent drawn from P to the circle is 24 cm. Find the radius of the circle.

Discussion

8115.	15. The ratio of the surface areas of two spheres is 3:5.What is the ratio of their volumes?
Answer» 15. The ratio of the surface areas of two spheres is 3:5.What is the ratio of their volumes?

Discussion

8116.	Identify constant, linear, quadratic, cubic and quartic polynomials from the following.(i) 1−y−y3(ii) 1+x+x2(iii) −6x2
Answer» Identify constant, linear, quadratic, cubic and quartic polynomials from the following. (i) $1 - y - y^{3}$ (ii) $1 + x + x^{2}$ (iii) $- 6 x^{2}$

8116.

Identify constant, linear, quadratic, cubic and quartic polynomials from the following.(i) 1−y−y3(ii) 1+x+x2(iii) −6x2

Answer» Identify constant, linear, quadratic, cubic and quartic polynomials from the following.

(i) $1 - y - y^{3}$

(ii) $1 + x + x^{2}$

(iii) $- 6 x^{2}$

Discussion

8117.	A farmer connects a pipe of internal diameter 20 cm from a canal into a cylindrical tank which is 10 m in diameter and 2 m deep? If the water flows through the pipe at the rate of 3 km per hour, in how much time will the tank be filled completely?
Answer» A farmer connects a pipe of internal diameter 20 cm from a canal into a cylindrical tank which is 10 m in diameter and 2 m deep? If the water flows through the pipe at the rate of 3 km per hour, in how much time will the tank be filled completely?

Discussion

8118.	Which of the following is/are a rational number?
Answer» Which of the following is/are a rational number?

Discussion

8119.	Prove that 3+4 is an irrational number.
Answer» Prove that $\sqrt{3} + \sqrt{4}$ is an irrational number.

Discussion

8120.	73.IF THE SUM OF THREE NUMBERS IN AP IS 63 AND 861 IS THE PRODUCT. FIND VALUE OF D AND NOS.
Answer» 73.IF THE SUM OF THREE NUMBERS IN AP IS 63 AND 861 IS THE PRODUCT. FIND VALUE OF D AND NOS.

Discussion

8121.	A card is drawn at random from a well-shuffled deck of 52 cards.What is the probability that the card drawn is a diamond?
Answer» A card is drawn at random from a well-shuffled deck of 52 cards.What is the probability that the card drawn is a diamond?

Discussion

8122.	A cylinder has a diameter 20 cm and height 18 cm. Calculate the total surface area of the cylinder.
Answer» A cylinder has a diameter 20 cm and height 18 cm. Calculate the total surface area of the cylinder.

Discussion

8123.	Factorise x2+3x+2 by using the Factor Theorem.
Answer» Factorise $x^{2} + 3 x + 2$ by using the Factor Theorem.

Discussion

8124.	An experiment involves rolling a pair of dice and recording the number that come up describe the following events: A: the sum is greater than 8, B: 2 occurs on either die. C: the sum is at least 7 and a multiple of 3 which pairs of these events are mutually exclusive?
Answer» An experiment involves rolling a pair of dice and recording the number that come up describe the following events: A: the sum is greater than 8, B: 2 occurs on either die. C: the sum is at least 7 and a multiple of 3 which pairs of these events are mutually exclusive?

Discussion

8125.	Question 1(i) Find the roots of the following quadratic equations, if they exist, by the method of completing the square: (i) 2x2−7x+3=0
Answer» Question 1(i) Find the roots of the following quadratic equations, if they exist, by the method of completing the square: (i) $2 x^{2} - 7 x + 3 = 0$

Discussion

8126.	In the given figure, ABCPA is a quadrant of a circle of radius 14cm. With AC as diameter, a semi-circle is drawn. Then the area of the shaded region will be
Answer» In the given figure, ABCPA is a quadrant of a circle of radius 14cm. With AC as diameter, a semi-circle is drawn. Then the area of the shaded region will be

8126.

In the given figure, ABCPA is a quadrant of a circle of radius 14cm. With AC as diameter, a semi-circle is drawn. Then the area of the shaded region will be

Answer»

In the given figure, ABCPA is a quadrant of a circle of radius 14cm. With AC as diameter, a semi-circle is drawn. Then the area of the shaded region will be

Discussion

8127.	Prove that there is a value of c(≠ 0) for which the system has infinitely many solutions. Find this value.6x + 3y = c − 312x + cy = c
Answer» Prove that there is a value of c(≠ 0) for which the system has infinitely many solutions. Find this value. 6x + 3y = c − 3 12x + cy = c

Discussion

8128.	ntIf X is a point on the line AB, Y and Z are points outside such that angle AXY = 45 and Angle YXZ = 150, then angle AXZ is equal ton ntA) 120n ntB) 165n ntC) 150n ntD) 105n
Answer» ntIf X is a point on the line AB, Y and Z are points outside such that angle AXY = 45 and Angle YXZ = 150, then angle AXZ is equal ton ntA) 120n ntB) 165n ntC) 150n ntD) 105n

Discussion

8129.	Solve for θ if 4cos2θ + 2sinθ – 4 = 0, where 0 ≤ θ ≤ 90.
Answer» Solve for $θ$ if $4 c o s^{2} θ$ + 2 $s i n θ$ – 4 = 0, where 0 $\leq$ $θ$ $\leq$ 90.

Discussion

8130.	A metallic sphere of radius 3 cm is dropped in a right circular cylindrical vessel partly filled with water, whose radius is 6 cm. lf the sphere is completely submerged in water, by how much will the level of water rise in the cylindrical vessel? [4 MARKS]
Answer» A metallic sphere of radius 3 cm is dropped in a right circular cylindrical vessel partly filled with water, whose radius is 6 cm. lf the sphere is completely submerged in water, by how much will the level of water rise in the cylindrical vessel? [4 MARKS]

Discussion

8131.	Question 9 Jaspal Singh repays his total loan of Rs. 118000 by paying every month starting with the first instalment of Rs. 1000. If he increases the instalment by Rs. 100 every month, what amount will be paid by him in the 30th instalment? What amount of loan does he still have to pay after the 30th instalment?
Answer» Question 9 Jaspal Singh repays his total loan of Rs. 118000 by paying every month starting with the first instalment of Rs. 1000. If he increases the instalment by Rs. 100 every month, what amount will be paid by him in the $30^{t h}$ instalment? What amount of loan does he still have to pay after the $30^{t h}$ instalment?

Discussion

8132.	n√x can also be represented as
Answer» $\sqrt[n]{x}$ can also be represented as

Discussion

8133.	If n(A) = m and n(B) = n, then find the total number of relations that exist between A and B.
Answer» If n(A) = m and n(B) = n, then find the total number of relations that exist between A and B.

Discussion

8134.	If f(x) = 2x - 5, g(x) = x + 2, and fog(x) = 5, find the value of x.3
Answer» If f(x) = 2x - 5, g(x) = x + 2, and fog(x) = 5, find the value of x. 3

Discussion

8135.	How to find genral solutions of trigonometric relationship
Answer» How to find genral solutions of trigonometric relationship

Discussion

8136.	If three metallic spheres of radii 6 cm, 8 cm and 10 cm are melted to form a single sphere, the diameter of the sphere is(a) 12 cm(b) 24 cm(c) 30 cm(d) 36 cm
Answer» If three metallic spheres of radii 6 cm, 8 cm and 10 cm are melted to form a single sphere, the diameter of the sphere is (a) 12 cm (b) 24 cm (c) 30 cm (d) 36 cm

Discussion

8137.	Two numbers are in the ratio 4:5. The difference in their squares is 81. Find the numbers.
Answer» Two numbers are in the ratio 4:5. The difference in their squares is 81. Find the numbers.

Discussion

8138.	If the centroid of the triangle formed by (7, x) (y, −6) and (9, 10) is at (6, 3), then (x, y) =(a) (4, 5)(b) (5, 4)(c) (−5, −2)(d) (5, 2)
Answer» If the centroid of the triangle formed by (7, x) (y, −6) and (9, 10) is at (6, 3), then (x, y) = (a) (4, 5) (b) (5, 4) (c) (−5, −2) (d) (5, 2)

Discussion

8139.	if f(x+y) = f(x) * f(y) x,y belongs to R Find possible values of f(0) if f(0) is greater than 0
Answer» if f(x+y) = f(x) * f(y) x,y belongs to R Find possible values of f(0) if f(0) is greater than 0

Discussion

8140.	The length of the shadow of a tower standing on level ground is found to be 2x metres longer when the sun's elevation is 30°than when it was 45°. The height of the tower in metres is(a) 3+1 x(b) 3-1 x(c) 23x(d) 32x
Answer» The length of the shadow of a tower standing on level ground is found to be 2x metres longer when the sun's elevation is 30°than when it was 45°. The height of the tower in metres is (a) $(\sqrt{3} + 1) x$ (b) $(\sqrt{3} - 1) x$ (c) $2 \sqrt{3} x$ (d) $3 \sqrt{2} x$

Discussion

8141.	Which of the following pair of events are mutually exclusive events on rolling a dice once ?
Answer» $Which of the following pair of$ $events are mutually exclusive events$ $on rolling a dice once ?$

Discussion

8142.	99. if (2,1) (4,5) (-1,-3) are the mid points of the sides of triangle then the coordinate pf its vertices are
Answer» 99. if (2,1) (4,5) (-1,-3) are the mid points of the sides of triangle then the coordinate pf its vertices are

Discussion

8143.	If 2a=3b=6c, then c= .
Answer» If $2^{a} = 3^{b} = 6^{c}$ , then $c =$ .

Discussion

8144.	Point P(5, −3) is one of the two points of trisection of the line segment joining the points A (7, −2) and B (1, − 5) near to A. Find the coordinates of the other point of trisection.
Answer» Point P(5, −3) is one of the two points of trisection of the line segment joining the points A (7, −2) and B (1, − 5) near to A. Find the coordinates of the other point of trisection.

Discussion

8145.	If sum of n terms of an A.P. is 3n2+5n and Tm=164, then the value of m is
Answer» If sum of $n$ terms of an A.P. is $3 n^{2} + 5 n$ and $T_{m} = 164$ , then the value of $m$ is

Discussion

8146.	A solid cone of base radius 10 cm is cut into two parts through the midpoint of its height, by a plane parallel to its base. Find the ratio of the volumes of the two parts of the cone. [CBSE 2013]
Answer» A solid cone of base radius 10 cm is cut into two parts through the midpoint of its height, by a plane parallel to its base. Find the ratio of the volumes of the two parts of the cone. [CBSE 2013]

Discussion

8147.	A frustum of a cone is formed by cutting a right circular cone. The ratio of the smaller and the bigger radius of the frustum is 1:2. The height is equal to the bigger radius ‘R’. Which of the following is the volume of the full cone from which the frustum was cut out?
Answer» A frustum of a cone is formed by cutting a right circular cone. The ratio of the smaller and the bigger radius of the frustum is 1:2. The height is equal to the bigger radius ‘R’. Which of the following is the volume of the full cone from which the frustum was cut out?

Discussion

8148.	The probability of getting a red card from a well shuffled pack of cards is(a) 14 (b) 12 (c) 34 (d) 13
Answer» The probability of getting a red card from a well shuffled pack of cards is (a) $\frac{1}{4}$ (b) $\frac{1}{2}$ (c) $\frac{3}{4}$ (d) $\frac{1}{3}$

Discussion

8149.	71.A and B are two vectors givey A=3i+3j and B=i+j. The magnitude of component of A along B is A. 3 B. 3/\sqrt{}2 C.3\sqrt{}2 D. \sqrt{}2
Answer» 71.A and B are two vectors givey A=3i+3j and B=i+j. The magnitude of component of A along B is A. 3 B. 3/\sqrt{}2 C.3\sqrt{}2 D. \sqrt{}2

Discussion

8150.	Let x1, x2, ...,xn be n observations and X be their arithmetic mean. The standard deviation is given by(a) ∑i=1nxi-X2 (b) 1n∑i=1nxi-X2 (c) 1n∑i=1nxi-X2 (d) 1n∑i=1nxi2-X2
Answer» Let $x_{1}, x_{2}, . . ., x_{n}$ be n observations and $X$ be their arithmetic mean. The standard deviation is given by (a) $\sum_{i = 1}^{n} {(x_{i} - X)}^{2}$ (b) $\frac{1}{n} \sum_{i = 1}^{n} {(x_{i} - X)}^{2}$ (c) $\sqrt{\frac{1}{n} \sum_{i = 1}^{n} {(x_{i} - X)}^{2}}$ (d) $\sqrt{\frac{1}{n} \sum_{i = 1}^{n} x_{i}^{2} - X^{2}}$

Discussion

Explore topic-wise InterviewSolutions in .

In a rational number of the form pq, the prime factorisation of q is of the form 2m×5n, where m and n are positive integers. The decimal expansion terminates after ____ decimal places if m&gt;n.

A line segment AB was divided in the ratio m:n by making a single ray AX. The number of arcs to be on AX is:

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

Objective Questions (MCQ)In the equation ax2+bx+c=0, it is given that D=b2-4ac&gt;0. Then, the roots of the equation are(a) real and equal (b) real and unequal(c) imaginary (d) none of these

The length of the curve given in red is called:

If one root of the quadratic equation 2x2+kx−6=0 is 2, find the value of k. Also, find the other root. [2 MARKS]

Draw a circle with radius 4.1 cm. Construct tangents to the circle from a point at a distance 7.3 cm from the centre.

The table below classifies the candidates who took and examination, according to the marks scored by them: Marks Number of Candidates 0 − 10 10 − 20 20 − 30 30 − 40 40 − 50 50 − 60 60 − 70 70 − 80 80 − 90 90 − 100 44 40 35 20 12 10 8 6 4 1 Find the median mark.

Find the ratio of the first quantity to the second.(1) 25 beads, 40 beads (2) 40 rupees, 120 rupees (3) 15 minutes, 1 hour(4) 30 litres, 24 litres (5) 99 kg, 44000 grams (6) 1 litre, 250 ml(7) 60 paise, 1 rupee (8) 750 grams, 12kg (9) 125 cm, 1 metre

Using euclid's division algorithm find whether the pair of numbers 847 and 2160 are co primes or not

the sum to p term of an AP is q and the sum to q terms is p .the sum to p+q term is

In fig., l and m are two parallel tangents to a circle with centre O, touching the circle at A and B respectively. Another tangent at C intersects the line l at D and m at E. prove that DOE=90∘.

If the zeros of the polynomial f(x) = x3 − 3x2 + x + 1 are (a − b), a and (a + b), Find a and b.

A point P is 25 cm away from the centre of a circle and the length of tangent drawn from P to the circle is 24 cm. Find the radius of the circle.

15. The ratio of the surface areas of two spheres is 3:5.What is the ratio of their volumes?

Identify constant, linear, quadratic, cubic and quartic polynomials from the following.(i) 1−y−y3(ii) 1+x+x2(iii) −6x2

A farmer connects a pipe of internal diameter 20 cm from a canal into a cylindrical tank which is 10 m in diameter and 2 m deep? If the water flows through the pipe at the rate of 3 km per hour, in how much time will the tank be filled completely?

Which of the following is/are a rational number?

Prove that 3+4 is an irrational number.

73.IF THE SUM OF THREE NUMBERS IN AP IS 63 AND 861 IS THE PRODUCT. FIND VALUE OF D AND NOS.

A card is drawn at random from a well-shuffled deck of 52 cards.What is the probability that the card drawn is a diamond?

A cylinder has a diameter 20 cm and height 18 cm. Calculate the total surface area of the cylinder.

Factorise x2+3x+2 by using the Factor Theorem.

An experiment involves rolling a pair of dice and recording the number that come up describe the following events: A: the sum is greater than 8, B: 2 occurs on either die. C: the sum is at least 7 and a multiple of 3 which pairs of these events are mutually exclusive?

Question 1(i) Find the roots of the following quadratic equations, if they exist, by the method of completing the square: (i) 2x2−7x+3=0

In the given figure, ABCPA is a quadrant of a circle of radius 14cm. With AC as diameter, a semi-circle is drawn. Then the area of the shaded region will be

Prove that there is a value of c(≠ 0) for which the system has infinitely many solutions. Find this value.6x + 3y = c − 312x + cy = c

ntIf X is a point on the line AB, Y and Z are points outside such that angle AXY = 45 and Angle YXZ = 150, then angle AXZ is equal ton ntA) 120n ntB) 165n ntC) 150n ntD) 105n

Solve for θ if 4cos2θ + 2sinθ – 4 = 0, where 0 ≤ θ ≤ 90.

A metallic sphere of radius 3 cm is dropped in a right circular cylindrical vessel partly filled with water, whose radius is 6 cm. lf the sphere is completely submerged in water, by how much will the level of water rise in the cylindrical vessel? [4 MARKS]

n√x can also be represented as

If n(A) = m and n(B) = n, then find the total number of relations that exist between A and B.

If f(x) = 2x - 5, g(x) = x + 2, and fog(x) = 5, find the value of x.3

How to find genral solutions of trigonometric relationship

If three metallic spheres of radii 6 cm, 8 cm and 10 cm are melted to form a single sphere, the diameter of the sphere is(a) 12 cm(b) 24 cm(c) 30 cm(d) 36 cm

Two numbers are in the ratio 4:5. The difference in their squares is 81. Find the numbers.

If the centroid of the triangle formed by (7, x) (y, −6) and (9, 10) is at (6, 3), then (x, y) =(a) (4, 5)(b) (5, 4)(c) (−5, −2)(d) (5, 2)

if f(x+y) = f(x) * f(y) x,y belongs to R Find possible values of f(0) if f(0) is greater than 0

The length of the shadow of a tower standing on level ground is found to be 2x metres longer when the sun's elevation is 30°than when it was 45°. The height of the tower in metres is(a) 3+1 x(b) 3-1 x(c) 23x(d) 32x

Which of the following pair of events are mutually exclusive events on rolling a dice once ?

99. if (2,1) (4,5) (-1,-3) are the mid points of the sides of triangle then the coordinate pf its vertices are

If 2a=3b=6c, then c= .

Point P(5, −3) is one of the two points of trisection of the line segment joining the points A (7, −2) and B (1, − 5) near to A. Find the coordinates of the other point of trisection.

If sum of n terms of an A.P. is 3n2+5n and Tm=164, then the value of m is

A solid cone of base radius 10 cm is cut into two parts through the midpoint of its height, by a plane parallel to its base. Find the ratio of the volumes of the two parts of the cone. [CBSE 2013]

A frustum of a cone is formed by cutting a right circular cone. The ratio of the smaller and the bigger radius of the frustum is 1:2. The height is equal to the bigger radius ‘R’. Which of the following is the volume of the full cone from which the frustum was cut out?

The probability of getting a red card from a well shuffled pack of cards is(a) 14 (b) 12 (c) 34 (d) 13

71.A and B are two vectors givey A=3i+3j and B=i+j. The magnitude of component of A along B is A. 3 B. 3/\sqrt{}2 C.3\sqrt{}2 D. \sqrt{}2

Let x1, x2, ...,xn be n observations and X be their arithmetic mean. The standard deviation is given by(a) ∑i=1nxi-X2 (b) 1n∑i=1nxi-X2 (c) 1n∑i=1nxi-X2 (d) 1n∑i=1nxi2-X2

In a rational number of the form pq, the prime factorisation of q is of the form 2m×5n, where m and n are positive integers. The decimal expansion terminates after ____ decimal places if m>n.

Objective Questions (MCQ)In the equation ax2+bx+c=0, it is given that D=b2-4ac>0. Then, the roots of the equation are(a) real and equal (b) real and unequal(c) imaginary (d) none of these