32581 + Interview Questions in Mathematics Page 126 InterviewSolution

6251.	The sum of two roots of a quadratic equation is 5 and sum of their cubes is 35, find the equation.
Answer» The sum of two roots of a quadratic equation is 5 and sum of their cubes is 35, find the equation.

Discussion

6252.	Choose the ogive curve for the given data. Marks Number of students >0548>1045>1539>2030>2518>3010
Answer» Choose the ogive curve for the given data. $\begin{matrix} M a r k s & N u m b e r o f s t u d e n t s > 05 & 48 > 10 & 45 > 15 & 39 > 20 & 30 > 25 & 18 > 30 & 10 \end{matrix}$

6252.

Choose the ogive curve for the given data. Marks Number of students >0548>1045>1539>2030>2518>3010

Answer»

Choose the ogive curve for the given data.

$\begin{matrix} M a r k s & N u m b e r o f s t u d e n t s > 05 & 48 > 10 & 45 > 15 & 39 > 20 & 30 > 25 & 18 > 30 & 10 \end{matrix}$

Discussion

6253.	A ladder 10 m long reaches the window of a house 8 m above the ground. Find the distance of the foot of the ladder from the base of the wall is 6 m.
Answer» A ladder 10 m long reaches the window of a house 8 m above the ground. Find the distance of the foot of the ladder from the base of the wall is 6 m.

Discussion

6254.	Find the sum and the product of the roots of the following equations : x2 – 2x – 15 = 0
Answer» Find the sum and the product of the roots of the following equations : $x^{2}$ – 2x – 15 = 0

Discussion

6255.	141.the diameter of each plate of a parallal plate air capacitor is .06 m. what should be the distance between its plates so that its capacitance becomes equal to that its capacitance becomes equal to that of a sphere of diameter .1 m?
Answer» 141.the diameter of each plate of a parallal plate air capacitor is .06 m. what should be the distance between its plates so that its capacitance becomes equal to that its capacitance becomes equal to that of a sphere of diameter .1 m?

Discussion

6256.	The points A(1, 2), B(4, 3), C(1, 0) and D(p, -1) are the vertices of a parallelogram. Find the value of p.
Answer» The points A(1, 2), B(4, 3), C(1, 0) and D(p, -1) are the vertices of a parallelogram. Find the value of p.

Discussion

6257.	. How do We know that we have to find LCM in the type of questions like determine the number nearest to 110000but greater than 100000 which is exactly divisible by each of 8,15,21.
Answer» . How do We know that we have to find LCM in the type of questions like determine the number nearest to 110000but greater than 100000 which is exactly divisible by each of 8,15,21.

Discussion

6258.	Four numbers are in A.P. If their sum is 20 and the sum of their squares is 120, then the middle terms are
Answer» Four numbers are in A.P. If their sum is 20 and the sum of their squares is 120, then the middle terms are

Discussion

6259.	Solve and find the solution set of 5x−6≥9 and 6x>36
Answer» Solve and find the solution set of $5 x - 6 \geq 9$ and $6 x > 36$

Discussion

6260.	Given a line segment AB joining the points A(-4, 6) and B(8, -3). Find: (i) the ratio in which AB is divided by the y-axis (ii) the coordinates of the point of intersection (iii) the length of AB [4 MARKS]
Answer» Given a line segment AB joining the points A(-4, 6) and B(8, -3). Find: (i) the ratio in which AB is divided by the y-axis (ii) the coordinates of the point of intersection (iii) the length of AB [4 MARKS]

Discussion

6261.	In the figure given, line APB meets the X axis at A, y-axis at B. P is a point (-4, 2) & AP : BP = 1 : 2 . Write down the coordinates of A and B.
Answer» In the figure given, line APB meets the X axis at A, y-axis at B. P is a point (-4, 2) & AP : BP = 1 : 2 . Write down the coordinates of A and B.

6261.

In the figure given, line APB meets the X axis at A, y-axis at B. P is a point (-4, 2) & AP : BP = 1 : 2 . Write down the coordinates of A and B.

Answer»

In the figure given, line APB meets the X axis at A, y-axis at B. P is a point (-4, 2) & AP : BP = 1 : 2 . Write down the coordinates of A and B.

Discussion

6262.	Question 24One ticket is drawn at random from a bag containing tickets numberd 1 to 40. The probability that the selected ticket has a number which is a multiple of 5 is(a) 15(b) 35(c) 45(d) 13
Answer» Question 24 One ticket is drawn at random from a bag containing tickets numberd 1 to 40. The probability that the selected ticket has a number which is a multiple of 5 is (a) $\frac{1}{5}$ (b) $\frac{3}{5}$ (c) $\frac{4}{5}$ (d) $\frac{1}{3}$

Discussion

6263.	a glass cube of eadge 1cm and refrative index 1.5has a spot at the center the area of the cube face that must be coverd to preventthe spot from being seen i
Answer» a glass cube of eadge 1cm and refrative index 1.5has a spot at the center the area of the cube face that must be coverd to preventthe spot from being seen i

Discussion

6264.	A farmer has enough food to feed his family for 10 days. If 3 out of 8 members leave the house, then for how many days will the food last?
Answer» A farmer has enough food to feed his family for 10 days. If 3 out of 8 members leave the house, then for how many days will the food last?

Discussion

6265.	Find the sum to indicate number of terms in each of the geometric progression in 1,−a,−a2,−a3......n terms(if a ≠−1).
Answer» Find the sum to indicate number of terms in each of the geometric progression in $1, - a, - a^{2}, - a^{3} . . . . . . n t e r m s (i f a \neq - 1) .$

Discussion

6266.	Given is a table with cost of goods with their respective prices and discounts. Find the total amount paid for them if the GST rate is 18%.MRP₹7200Rs.8000₹5400₹6000Discount%20304050
Answer» Given is a table with cost of goods with their respective prices and discounts. Find the total amount paid for them if the GST rate is 18%. $\begin{matrix} MRP & ₹ 7200 & Rs. 8000 & ₹ 5400 & ₹ 6000 Discount % & 20 & 30 & 40 & 50 \end{matrix}$

Discussion

6267.	The age of a man is twice the sum of the ages of his two children. After 20 years. his age will he equal to the sum of the ages of his children at that time. Find the present age of the man. If at present : Man's age = x years and sum of the ages of two children = y years Then x = 2y In 20 years : Age of each child increases by 20 years ⇒ in 20 years. ages of both the children will increase by (20 + 20) years. ∴ x+20=y+20+20
Answer» The age of a man is twice the sum of the ages of his two children. After 20 years. his age will he equal to the sum of the ages of his children at that time. Find the present age of the man. If at present : Man's age = x years and sum of the ages of two children = y years Then x = 2y In 20 years : Age of each child increases by 20 years $\Rightarrow$ in 20 years. ages of both the children will increase by (20 + 20) years. $∴ x + 20 = y + 20 + 20$

6267.

The age of a man is twice the sum of the ages of his two children. After 20 years. his age will he equal to the sum of the ages of his children at that time. Find the present age of the man. If at present : Man's age = x years and sum of the ages of two children = y years Then x = 2y In 20 years : Age of each child increases by 20 years ⇒ in 20 years. ages of both the children will increase by (20 + 20) years. ∴ x+20=y+20+20

Answer»

The age of a man is twice the sum of the ages of his two children. After 20 years. his age will he equal to the sum of the ages of his children at that time. Find the present age of the man.

If at present :
Man's age = x years and sum of the ages of two children = y years Then x = 2y

In 20 years :
Age of each child increases by 20 years
$\Rightarrow$ in 20 years. ages of both the children will increase by (20 + 20) years.
$∴ x + 20 = y + 20 + 20$

Discussion

6268.	A dice is tossed 80 times and number 5 is obtained 14 times. The probability of not getting the number 5 is(a) 740 (b) 780 (c) 3340 (d) None of these
Answer» A dice is tossed 80 times and number 5 is obtained 14 times. The probability of not getting the number 5 is (a) $\frac{7}{40}$ (b) $\frac{7}{80}$ (c) $\frac{33}{40}$ (d) None of these

Discussion

6269.	Find the sum of(i) the first 15 multiples of 8(ii) the first 40 positive integers divisible by (a) 3 (b) 5 (c) 6.(iii) all 3 − digit natural numbers which are divisible by 13.(iv) all 3 - digit natural numbers, which are multiples of 11.
Answer» Find the sum of (i) the first 15 multiples of 8 (ii) the first 40 positive integers divisible by (a) 3 (b) 5 (c) 6. (iii) all 3 − digit natural numbers which are divisible by 13. (iv) all 3 - digit natural numbers, which are multiples of 11.

Discussion

6270.	Find the median for the given data by drawing a 'less than ogive': [6 MARKS] Class interval0−1010−2020−3030−4040−50Frequency4915148
Answer» Find the median for the given data by drawing a 'less than ogive': [6 MARKS] $\begin{matrix} C l a s s i n t e r v a l & 0 - 10 & 10 - 20 & 20 - 30 & 30 - 40 & 40 - 50 F r e q u e n c y & 4 & 9 & 15 & 14 & 8 \end{matrix}$

Discussion

6271.	The sum of the present ages of father and son is 92 years.ten years ago the product of their ages was 1100. Find their present ages.
Answer» The sum of the present ages of father and son is 92 years.ten years ago the product of their ages was 1100. Find their present ages.

Discussion

6272.	if alpha and beta are zeroes of polynmial x2+7x+3 then the value of (alpha-beta)^2i
Answer» if alpha and beta are zeroes of polynmial x2+7x+3 then the value of (alpha-beta)^2i

Discussion

6273.	Define HCF of two positive integers and find HCF of the following pairs of numbers: (1) 32 and 54 (2) 155 and 1385
Answer» Define HCF of two positive integers and find HCF of the following pairs of numbers: (1) 32 and 54 (2) 155 and 1385

6273.

Define HCF of two positive integers and find HCF of the following pairs of numbers: (1) 32 and 54 (2) 155 and 1385

Answer»

Define HCF of two positive integers and find HCF of the following pairs of numbers:

(1) 32 and 54

(2) 155 and 1385

Discussion

6274.	Volume of a right circular cone of radius ′r ′ and height ′h ′ = .
Answer» Volume of a right circular cone of radius $^{'} r^{'}$ and height $^{'} h^{'}$ = .

Discussion

6275.	In the given figure, O is the centre of the circle with AC = 24 cm, AB = 7 cm and △ BOD = 90∘. Find the area of shaded region. [Use π = 3.14]
Answer» In the given figure, O is the centre of the circle with AC = 24 cm, AB = 7 cm and $△$ BOD = 90 $^{\circ}$ . Find the area of shaded region. [Use $π$ = 3.14]

6275.

In the given figure, O is the centre of the circle with AC = 24 cm, AB = 7 cm and △ BOD = 90∘. Find the area of shaded region. [Use π = 3.14]

Answer»

In the given figure, O is the centre of the circle with AC = 24 cm, AB = 7 cm and $△$ BOD = 90 $^{\circ}$ . Find the area of shaded region.

[Use $π$ = 3.14]

Discussion

6276.	Find the 9th term from the end of the A.P. 5, 9, 13,...,185.
Answer» Find the 9^th term from the end of the A.P. 5, 9, 13,...,185.

Discussion

6277.	Prove that 1n+1+1n+2+...+12n>1324, for all natural numbers n>1. [NCERT EXEMPLAR]
Answer» $Prove that \frac{1}{n + 1} + \frac{1}{n + 2} + . . . + \frac{1}{2 n} > \frac{13}{24}, for all natural numbers n > 1 .$ [NCERT EXEMPLAR]

Discussion

6278.	Vinod deposits Rs 700 every month in a recurring deposit account at the interest rate of 9% per annum for 12 months. Find the Maturity Value that he will get is ____________
Answer» Vinod deposits Rs 700 every month in a recurring deposit account at the interest rate of 9 $%$ per annum for 12 months. Find the Maturity Value that he will get is ____________

Discussion

6279.	Which of the following are factors of f(x)=x3−x2−17x−15?
Answer» Which of the following are factors of $f (x) = x^{3} - x^{2} - 17 x - 15$ ?

Discussion

6280.	In the given figure, if tangents PA and PB are drawn to a circle such that ∠APB = 30° and chord AC is drawn parallel to the tangent PB, then ∠ABC =(a) 60°(b) 90°(c) 30°(d) None of these
Answer» In the given figure, if tangents PA and PB are drawn to a circle such that ∠APB = 30° and chord AC is drawn parallel to the tangent PB, then ∠ABC = (a) 60° (b) 90° (c) 30° (d) None of these

Discussion

6281.	The current price of share is called as ___
Answer» The current price of share is called as ___

Discussion

6282.	Sum of the areas of two squares is 400 cm2. If the difference of their perimeters is 16 cm, find the sides of the two squares
Answer» Sum of the areas of two squares is $400 c m^{2}$ . If the difference of their perimeters is 16 cm, find the sides of the two squares

Discussion

6283.	In the given figure, PT is a common tangent to the circles touching externally at P and AB is another common tangent touching the circles at A and B. Prove that: [3 MARKS](i) T is the mid-point of AB (ii) ∠APB=90∘(iii) If X and Y are centers of the two circles, show that the circle on AB as diameter touches the line XY.
Answer» In the given figure, PT is a common tangent to the circles touching externally at P and AB is another common tangent touching the circles at A and B. Prove that: [3 MARKS] (i) T is the mid-point of AB $(i i) ∠ A P B = 90^{\circ}$ (iii) If X and Y are centers of the two circles, show that the circle on AB as diameter touches the line XY.

6283.

In the given figure, PT is a common tangent to the circles touching externally at P and AB is another common tangent touching the circles at A and B. Prove that: [3 MARKS](i) T is the mid-point of AB (ii) ∠APB=90∘(iii) If X and Y are centers of the two circles, show that the circle on AB as diameter touches the line XY.

Answer»

In the given figure, PT is a common tangent to the circles touching externally at P and AB is another common tangent touching the circles at A and B. Prove that: [3 MARKS]

(i) T is the mid-point of AB

$(i i) ∠ A P B = 90^{\circ}$

(iii) If X and Y are centers of the two circles, show that the circle on AB as diameter touches the line XY.

Discussion

6284.	If (3x+5y)(3x–5y)=73, find x:y.
Answer» If $\frac{(3 x + 5 y)}{(3 x - 5 y)} = \frac{7}{3}$ , find x:y.

Discussion

6285.	The figure shows the graph of y=x2. This graph is shifted downward by 9 units. Find the new roots of the equation.
Answer» The figure shows the graph of $y = x^{2}$ . This graph is shifted downward by 9 units. Find the new roots of the equation.

Discussion

6286.	33. The mth term of an AP is not and the nth term of an AP is m. Prove that (m+n)th term is zero.
Answer» 33. The mth term of an AP is not and the nth term of an AP is m. Prove that (m+n)th term is zero.

Discussion

6287.	A bag contains lemon flavoured candies only. Malini takes out one candy without looking into the bag. What is the probability that she takes out(i) an orange flavoured candy?(ii) a lemon flavoured candy?
Answer» A bag contains lemon flavoured candies only. Malini takes out one candy without looking into the bag. What is the probability that she takes out (i) an orange flavoured candy? (ii) a lemon flavoured candy?

6287.

A bag contains lemon flavoured candies only. Malini takes out one candy without looking into the bag. What is the probability that she takes out(i) an orange flavoured candy?(ii) a lemon flavoured candy?

Answer»

A bag contains lemon flavoured candies only. Malini takes out one candy without looking into the bag. What is the probability that she takes out

(i) an orange flavoured candy?

(ii) a lemon flavoured candy?

Discussion

6288.	For what values of k does the pair of equations x−2y=3,3x+ky=1 have a unique solution? [ 2 MARKS]
Answer» For what values of $k$ does the pair of equations $x - 2 y = 3, 3 x + k y = 1$ have a unique solution? [ 2 MARKS]

Discussion

6289.	If the ratio of the sum of first three terms and the sum of first six terms of a G.P. be 125 : 152, then the common ratio r is
Answer» If the ratio of the sum of first three terms and the sum of first six terms of a G.P. be 125 : 152, then the common ratio r is

Discussion

6290.	A 6 feet tall man sees an apple on the ground, 6√3 feet away from him. What is the angle of depression (in degrees) when he is looking at the apple?60
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 (in degrees) when he is looking at the apple? 60

Discussion

6291.	\log_2\log_2\log_5125
Answer» \log_2\log_2\log_5125

Discussion

6292.	Use Euclid's algorithm to find the HCF of 441, 567 and 693.
Answer» Use Euclid's algorithm to find the HCF of 441, 567 and 693.

Discussion

6293.	Give as many examples there can be of irrational numbers and can you plz give me the definition of irrational no. As we were taught that irrational no. are the no. or fractions that r not terminating and non repeating
Answer» Give as many examples there can be of irrational numbers and can you plz give me the definition of irrational no. As we were taught that irrational no. are the no. or fractions that r not terminating and non repeating

Discussion

6294.	8. Two chords AB,CD of length s 24 cm,10 cm respectively of a circle are parallel. If the chords lie on the same side of the center and the distance between them is7 cm,then find the length of the diameter.
Answer» 8. Two chords AB,CD of length s 24 cm,10 cm respectively of a circle are parallel. If the chords lie on the same side of the center and the distance between them is7 cm,then find the length of the diameter.

Discussion

6295.	Find the volume of a cuboid of dimensions 20 × 10 × 5 units.
Answer» Find the volume of a cuboid of dimensions 20 × 10 × 5 units.

Discussion

6296.	The area of a circle is 220 cm2. The area of ta square inscribed in it is(a) 49 cm2(b) 70 cm2(c) 140 cm2(d) 150 cm2
Answer» The area of a circle is 220 cm². The area of ta square inscribed in it is (a) 49 cm² (b) 70 cm² (c) 140 cm² (d) 150 cm²

Discussion

6297.	P is a point (a,b) in the first quadrant . If two circles which pass through P and touch both the coordinate axes cut at right angles, then
Answer» P is a point (a,b) in the first quadrant . If two circles which pass through P and touch both the coordinate axes cut at right angles, then

Discussion

6298.	Decide whether 52.123456789 is a rational number or not. If rational (in the form pq), what can you say about the prime factors of q?
Answer» Decide whether 52.123456789 is a rational number or not. If rational (in the form $\frac{p}{q}$ ), what can you say about the prime factors of q?

Discussion

6299.	The intercepts made by a straight line on the -axis and -axis are –3 and 2 units respectively. Find: i) the gradient of the line ii) the equation of the line. iii) the area of the triangle enclosed between the line and the co-ordinate axes.
Answer» The intercepts made by a straight line on the -axis and -axis are –3 and 2 units respectively. Find: i) the gradient of the line ii) the equation of the line. iii) the area of the triangle enclosed between the line and the co-ordinate axes.

6299.

The intercepts made by a straight line on the -axis and -axis are –3 and 2 units respectively. Find: i) the gradient of the line ii) the equation of the line. iii) the area of the triangle enclosed between the line and the co-ordinate axes.

Answer»

The intercepts made by a straight line on the -axis and -axis are –3 and 2 units respectively. Find:

i) the gradient of the line

ii) the equation of the line.

iii) the area of the triangle enclosed between the line and the co-ordinate axes.

Discussion

6300.

Prepare Trading and Profit and Loss Account and Balance Sheet as at 31st March, 2017 from the following Balances of Mr. Sardari Lal : Particulars (₹) Particulars (₹) Capital Account 41,000 Drawings 5,000 Creditors – Trade 30,000 Purchases 1,71,000 Creditors – Expenses 6,800 Carriage inwards 1,500 Rent Received 600 Wages 23,000 Purchases Returns 4,000 Power 9,000 Sales 2,89,600 Rent and Insurance 19,900 Bad-Debts Provision on 1st April, 2016 600 Salaries 34,400 Advertising Development 8,000 Discount Received 1,800 Goodwill 5,000 General Charges 8,600 Plant and Machinery 20,000 Sales Returns 600 Traveller's Samples 2,700 Traveller's Commission 2,890 Stock on 1-4-2016 32,000 Traveller's Salaries 9,100 Debtors 14,600 Discount Allowed 5,000 Cash at Bank 2,000 Cash in hand 110 Adjustments:- The Closing stock was ₹ 23,000 but there has been a loss by fire on 20th March, 2017, to the extent of ₹ 20,000, not covered by insurance. Depreciate Plant and Machinery by 10% and Traveller's Samples by 3313%. Increase the Bad-debts Provision to ₹ 2,000. Write 20% off Advertising Development Account. Annual premium on insurance expiring 1st June, 2017 was ₹ 1,200. Provide for Manager's commission 5% on Net Profits after charging such Commission.

Answer» Prepare Trading and Profit and Loss Account and Balance Sheet as at 31st March, 2017 from the following Balances of Mr. Sardari Lal :

Particulars	(₹)	Particulars	(₹)
Capital Account	41,000	Drawings	5,000
Creditors – Trade	30,000	Purchases	1,71,000
Creditors – Expenses	6,800	Carriage inwards	1,500
Rent Received	600	Wages	23,000
Purchases Returns	4,000	Power	9,000
Sales	2,89,600	Rent and Insurance	19,900
Bad-Debts Provision on 1st April, 2016	600	Salaries	34,400
Advertising Development	8,000	Discount Received	1,800
Goodwill	5,000	General Charges	8,600
Plant and Machinery	20,000	Sales Returns	600
Traveller's Samples	2,700	Traveller's Commission	2,890
Stock on 1-4-2016	32,000	Traveller's Salaries	9,100
Debtors	14,600	Discount Allowed	5,000
Cash at Bank	2,000
Cash in hand	110

Adjustments:- The Closing stock was ₹ 23,000 but there has been a loss by fire on 20th March, 2017, to the extent of ₹ 20,000, not covered by insurance. Depreciate Plant and Machinery by 10% and Traveller's Samples by

33 \frac{1}{3} %

. Increase the Bad-debts Provision to ₹ 2,000. Write 20% off Advertising Development Account. Annual premium on insurance expiring 1st June, 2017 was ₹ 1,200. Provide for Manager's commission 5% on Net Profits after charging such Commission.

Discussion

Explore topic-wise InterviewSolutions in .

The sum of two roots of a quadratic equation is 5 and sum of their cubes is 35, find the equation.

Choose the ogive curve for the given data. Marks Number of students &gt;0548&gt;1045&gt;1539&gt;2030&gt;2518&gt;3010

A ladder 10 m long reaches the window of a house 8 m above the ground. Find the distance of the foot of the ladder from the base of the wall is 6 m.

Find the sum and the product of the roots of the following equations : x2 – 2x – 15 = 0

141.the diameter of each plate of a parallal plate air capacitor is .06 m. what should be the distance between its plates so that its capacitance becomes equal to that its capacitance becomes equal to that of a sphere of diameter .1 m?

The points A(1, 2), B(4, 3), C(1, 0) and D(p, -1) are the vertices of a parallelogram. Find the value of p.

. How do We know that we have to find LCM in the type of questions like determine the number nearest to 110000but greater than 100000 which is exactly divisible by each of 8,15,21.

Four numbers are in A.P. If their sum is 20 and the sum of their squares is 120, then the middle terms are

Solve and find the solution set of 5x−6≥9 and 6x&gt;36

Given a line segment AB joining the points A(-4, 6) and B(8, -3). Find: (i) the ratio in which AB is divided by the y-axis (ii) the coordinates of the point of intersection (iii) the length of AB [4 MARKS]

In the figure given, line APB meets the X axis at A, y-axis at B. P is a point (-4, 2) &amp; AP : BP = 1 : 2 . Write down the coordinates of A and B.

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

a glass cube of eadge 1cm and refrative index 1.5has a spot at the center the area of the cube face that must be coverd to preventthe spot from being seen i

A farmer has enough food to feed his family for 10 days. If 3 out of 8 members leave the house, then for how many days will the food last?

Find the sum to indicate number of terms in each of the geometric progression in 1,−a,−a2,−a3......n terms(if a ≠−1).

Given is a table with cost of goods with their respective prices and discounts. Find the total amount paid for them if the GST rate is 18%.MRP₹7200Rs.8000₹5400₹6000Discount%20304050

A dice is tossed 80 times and number 5 is obtained 14 times. The probability of not getting the number 5 is(a) 740 (b) 780 (c) 3340 (d) None of these

Find the sum of(i) the first 15 multiples of 8(ii) the first 40 positive integers divisible by (a) 3 (b) 5 (c) 6.(iii) all 3 − digit natural numbers which are divisible by 13.(iv) all 3 - digit natural numbers, which are multiples of 11.

Find the median for the given data by drawing a 'less than ogive': [6 MARKS] Class interval0−1010−2020−3030−4040−50Frequency4915148

The sum of the present ages of father and son is 92 years.ten years ago the product of their ages was 1100. Find their present ages.

if alpha and beta are zeroes of polynmial x2+7x+3 then the value of (alpha-beta)^2i

Define HCF of two positive integers and find HCF of the following pairs of numbers: (1) 32 and 54 (2) 155 and 1385

Volume of a right circular cone of radius ′r ′ and height ′h ′ = .

In the given figure, O is the centre of the circle with AC = 24 cm, AB = 7 cm and △ BOD = 90∘. Find the area of shaded region. [Use π = 3.14]

Find the 9th term from the end of the A.P. 5, 9, 13,...,185.

Prove that 1n+1+1n+2+...+12n&gt;1324, for all natural numbers n&gt;1. [NCERT EXEMPLAR]

Vinod deposits Rs 700 every month in a recurring deposit account at the interest rate of 9% per annum for 12 months. Find the Maturity Value that he will get is ____________

Which of the following are factors of f(x)=x3−x2−17x−15?

In the given figure, if tangents PA and PB are drawn to a circle such that ∠APB = 30° and chord AC is drawn parallel to the tangent PB, then ∠ABC =(a) 60°(b) 90°(c) 30°(d) None of these

The current price of share is called as ___

Sum of the areas of two squares is 400 cm2. If the difference of their perimeters is 16 cm, find the sides of the two squares

If (3x+5y)(3x–5y)=73, find x:y.

The figure shows the graph of y=x2. This graph is shifted downward by 9 units. Find the new roots of the equation.

33. The mth term of an AP is not and the nth term of an AP is m. Prove that (m+n)th term is zero.

A bag contains lemon flavoured candies only. Malini takes out one candy without looking into the bag. What is the probability that she takes out(i) an orange flavoured candy?(ii) a lemon flavoured candy?

For what values of k does the pair of equations x−2y=3,3x+ky=1 have a unique solution? [ 2 MARKS]

If the ratio of the sum of first three terms and the sum of first six terms of a G.P. be 125 : 152, then the common ratio r is

A 6 feet tall man sees an apple on the ground, 6√3 feet away from him. What is the angle of depression (in degrees) when he is looking at the apple?60

\log_2\log_2\log_5125

Use Euclid's algorithm to find the HCF of 441, 567 and 693.

Give as many examples there can be of irrational numbers and can you plz give me the definition of irrational no. As we were taught that irrational no. are the no. or fractions that r not terminating and non repeating

8. Two chords AB,CD of length s 24 cm,10 cm respectively of a circle are parallel. If the chords lie on the same side of the center and the distance between them is7 cm,then find the length of the diameter.

Find the volume of a cuboid of dimensions 20 × 10 × 5 units.

The area of a circle is 220 cm2. The area of ta square inscribed in it is(a) 49 cm2(b) 70 cm2(c) 140 cm2(d) 150 cm2

P is a point (a,b) in the first quadrant . If two circles which pass through P and touch both the coordinate axes cut at right angles, then

Decide whether 52.123456789 is a rational number or not. If rational (in the form pq), what can you say about the prime factors of q?

The intercepts made by a straight line on the -axis and -axis are –3 and 2 units respectively. Find: i) the gradient of the line ii) the equation of the line. iii) the area of the triangle enclosed between the line and the co-ordinate axes.

Choose the ogive curve for the given data. Marks Number of students >0548>1045>1539>2030>2518>3010

Solve and find the solution set of 5x−6≥9 and 6x>36

In the figure given, line APB meets the X axis at A, y-axis at B. P is a point (-4, 2) & AP : BP = 1 : 2 . Write down the coordinates of A and B.

Prove that 1n+1+1n+2+...+12n>1324, for all natural numbers n>1. [NCERT EXEMPLAR]