32581 + Interview Questions in Mathematics Page 54 InterviewSolution

2651.	Which of the following graphs represents the linear polynomial, -3x + 4y = 12
Answer» Which of the following graphs represents the linear polynomial, -3x + 4y = 12

Discussion

2652.	If cosec2 θ (1 + cos θ) (1 − cos θ) = λ, then find the value of λ.
Answer» If cosec² θ (1 + cos θ) (1 − cos θ) = λ, then find the value of λ.

Discussion

2653.	Every even integer is of the form 2m, where m is an integer (True/False).
Answer» Every even integer is of the form 2m, where m is an integer (True/False).

Discussion

2654.	Solve the equations 3x+4y-10=0 and x-y=1 for X and y.
Answer» Solve the equations 3x+4y-10=0 and x-y=1 for X and y.

Discussion

2655.	Using Euclid's division algorithm, find the HCF of(i) 612 and 1314(ii) 1260 and 7344(iii) 4052 and 12576
Answer» Using Euclid's division algorithm, find the HCF of (i) 612 and 1314 (ii) 1260 and 7344 (iii) 4052 and 12576

Discussion

2656.	If the matrices A=abcd and B=1101 commute with each other, then C = ______________.
Answer» If the matrices $A = [\begin{matrix} a & b \\ c & d \end{matrix}]$ and $B = [\begin{matrix} 1 & 1 \\ 0 & 1 \end{matrix}]$ commute with each other, then C = ______________.

Discussion

2657.	integartion of 1/cos(x-a)(x-b)
Answer» integartion of 1/cos(x-a)(x-b)

Discussion

2658.	Find a relation between x and y, if the points A(x, y), B(−5, 7) and C(−4, 5) are collinear. [CBSE 2015]
Answer» Find a relation between x and y, if the points A(x, y), B(−5, 7) and C(−4, 5) are collinear. [CBSE 2015]

Discussion

2659.	An unbiased coin is tossed once, the probability of getting head is(a) 12 (b) 1 (c) 13 (d) 14
Answer» An unbiased coin is tossed once, the probability of getting head is (a) $\frac{1}{2}$ (b) 1 (c) $\frac{1}{3}$ (d) $\frac{1}{4}$

Discussion

2660.

Bharat Lamp Ltd. issued 30,000 fully paid-up shares of ₹ 100 each for purchase of the following assets and liabilities from Sharma & Co: Plant ₹ 7,00,000 Stock-in-Trade ₹ 9,00,000 Land and Building ₹ 12,00,000 Sundry Creditors ₹ 2,00,000 You are required to pass necessary Journal entries.

Answer» Bharat Lamp Ltd. issued 30,000 fully paid-up shares of ₹ 100 each for purchase of the following assets and liabilities from Sharma & Co:

Plant	₹ 7,00,000	Stock-in-Trade	₹ 9,00,000
Land and Building	₹ 12,00,000	Sundry Creditors	₹ 2,00,000

You are required to pass necessary Journal entries.

Discussion

2661.	In ΔABC, D and E lie on the line AB and AC respectively, as shown in the figure.Find the value of ∠AED.
Answer» In $Δ A B C$ , D and E lie on the line AB and AC respectively, as shown in the figure. Find the value of $∠ A E D$ .

Discussion

2662.

Write up Return Outward Book of Malthotra & Co., Bhiwani (Haryana) from the following transactions assuming CGST 6% and SGST 6% : - 2017 August 4 Returned to Saraswati House, Bhiwani 25 Chairs ₹ 1,800 per Chair, being not of specified quality. Trade Discount 10% 12 Sent back one Dining Table to Navneet Enterprise, Karnal (Haryana) for not being polished ₹ 10,000 and 20 Chairs ₹ 2,000 each. 20 Returned to Yadav & Co., Patiala (Punjab), being not according to sample :- 20 Chairs ₹ 1,500 each. 2 Dressing Tables ₹ 7,500 each. 28 Allowance claimed from Navneet Enterprise, Ludhiana (Punjab) on account of mistake in the invoice ₹ 5,000.

Answer» Write up Return Outward Book of Malthotra & Co., Bhiwani (Haryana) from the following transactions assuming CGST 6% and SGST 6% : -

2017
August 4	Returned to Saraswati House, Bhiwani 25 Chairs ₹ 1,800 per Chair, being not of specified quality.
	Trade Discount 10%
12	Sent back one Dining Table to Navneet Enterprise, Karnal (Haryana) for not being polished ₹ 10,000 and 20 Chairs ₹ 2,000 each.
20	Returned to Yadav & Co., Patiala (Punjab), being not according to sample :-
	20 Chairs ₹ 1,500 each.
	2 Dressing Tables ₹ 7,500 each.
28	Allowance claimed from Navneet Enterprise, Ludhiana (Punjab) on account of mistake in the invoice ₹ 5,000.

Discussion

2663.	A boat goes 12 km upstream and 40 km downstream in 8 hours.It can go 16 km upstream and 32 km downstream in the same time.Find the speed of the boat in still water and the speed of the stream.
Answer» A boat goes 12 km upstream and 40 km downstream in 8 hours.It can go 16 km upstream and 32 km downstream in the same time.Find the speed of the boat in still water and the speed of the stream.

Discussion

2664.	If x ∝ y , and y = 9 when x = 3. If value of y = 27 then value of x =
Answer» If x ∝ y , and y = 9 when x = 3. If value of y = 27 then value of x =

Discussion

2665.	Question 4If AB is a chord of a circle with centre O, AOC is a diameter and tangent T at A as shown in the figure. Prove that ∠BAT = ∠ACB.
Answer» Question 4 If AB is a chord of a circle with centre O, AOC is a diameter and tangent T at A as shown in the figure. Prove that $∠$ BAT = $∠$ ACB.

Discussion

2666.	The discriminant of 4x^2 + 4x + 1 = 0 is
Answer» The discriminant of 4x^2 + 4x + 1 = 0 is

Discussion

2667.	To draw a pair of tangents to a circle which are inclined to each other at an angle of 35°, it is required to draw tangents at the end points of those two radii of the circle, the angle between which is(a) 105°(b) 70°(c) 140°(d) 145°
Answer» To draw a pair of tangents to a circle which are inclined to each other at an angle of 35°, it is required to draw tangents at the end points of those two radii of the circle, the angle between which is (a) 105° (b) 70° (c) 140° (d) 145°

Discussion

2668.	The midpoint of the line segment AB as shown in the diagram is (-4, 2). Write down the coordinates of A, B.
Answer» The midpoint of the line segment AB as shown in the diagram is (-4, 2). Write down the coordinates of A, B.

2668.

The midpoint of the line segment AB as shown in the diagram is (-4, 2). Write down the coordinates of A, B.

Answer»

The midpoint of the line segment AB as shown in the diagram is (-4, 2). Write down the coordinates of A, B.

Discussion

2669.	If the total surface area of a solid hemisphere is 462 cm2, find its volume (Take π = 22/7 ) [CBSE 2014]
Answer» If the total surface area of a solid hemisphere is 462 cm², find its volume (Take π = 22/7 ) [CBSE 2014]

Discussion

2670.	A cylindrical container of radius 6 cm and height 15 cm is filled with ice-cream. The whole ice-cream has to be distributed to 10 children in equal cones with hemispherical tops. If the height of the conical portion is 4 times the radius of its base, then find the radius of the ice-cream cone.
Answer» A cylindrical container of radius 6 cm and height 15 cm is filled with ice-cream. The whole ice-cream has to be distributed to 10 children in equal cones with hemispherical tops. If the height of the conical portion is 4 times the radius of its base, then find the radius of the ice-cream cone.

Discussion

2671.	From an external point P, two tangents are drawn that touch the circle at points Q and R. The centre of the circle is O. Points O and P are joined. The ratio of ∠OPR and ∠OPQ is ______.
Answer» From an external point P, two tangents are drawn that touch the circle at points Q and R. The centre of the circle is O. Points O and P are joined. The ratio of $∠ O P R a n d ∠ O P Q$ is ______.

Discussion

2672.	If P (x, 6) is the mid-point of the line segment joining A (6, 5) and B (4, y), find y.
Answer» If P (x, 6) is the mid-point of the line segment joining A (6, 5) and B (4, y), find y.

Discussion

2673.	If the angle between two radii of a circle is 130°, then the angle between the tangent at the ends of the radii is(a) 65°(b) 40°(c) 50°(d) 90°
Answer» If the angle between two radii of a circle is 130°, then the angle between the tangent at the ends of the radii is (a) 65° (b) 40° (c) 50° (d) 90°

Discussion

2674.	Question 23 Which of the following shows the maximum rise in temperature ? (a) 23o to 32o (b) −10o to 1o (c) −18o to −11o (d) −5o to 5o
Answer» Question 23 Which of the following shows the maximum rise in temperature ? (a) $23^{o} t o 32^{o}$ (b) $- 10^{o} t o 1^{o}$ (c) $- 18^{o} t o - 11^{o}$ (d) $- 5^{o} t o 5^{o}$

2674.

Question 23 Which of the following shows the maximum rise in temperature ? (a) 23o to 32o (b) −10o to 1o (c) −18o to −11o (d) −5o to 5o

Answer»

Question 23

Which of the following shows the maximum rise in temperature ?

(a) $23^{o} t o 32^{o}$
(b) $- 10^{o} t o 1^{o}$
(c) $- 18^{o} t o - 11^{o}$
(d) $- 5^{o} t o 5^{o}$

Discussion

2675.	If y = 12 (3x+7) is rewritten in the form ax+by+c=0, what are the values of a, b and c?
Answer» If y = $\frac{1}{2}$ (3x+7) is rewritten in the form $a x + b y + c = 0$ , what are the values of a, b and c?

Discussion

2676.	Coloriez l'image et écrivez le nom de la couleur utilisée.
Answer» Coloriez l'image et écrivez le nom de la couleur utilisée.

Discussion

2677.	A pen cost rs 11 and a notebook costs rs13. Find the number of ways in which a person can spend can spend exactly rs1000 to buy pens and notebooks.
Answer» A pen cost rs 11 and a notebook costs rs13. Find the number of ways in which a person can spend can spend exactly rs1000 to buy pens and notebooks.

Discussion

2678.	9sec2θ - 9tan2θ is equal to:
Answer» $9 s e c^{2} θ$ - $9 t a n^{2} θ$ is equal to:

Discussion

2679.	The dimensions of a cuboid are 44 cm, 21 cm, 12 cm. It is melted and a cone of height 24 cm is made. Find the radius of its base.
Answer» The dimensions of a cuboid are 44 cm, 21 cm, 12 cm. It is melted and a cone of height 24 cm is made. Find the radius of its base.

Discussion

2680.	A sum of Rs. 700 is to be used to give seven cash prizes to students of a school for their overall academic performance. If each prize is Rs.20 less than its preceding prize, find the value of each prize.
Answer» A sum of Rs. 700 is to be used to give seven cash prizes to students of a school for their overall academic performance. If each prize is Rs.20 less than its preceding prize, find the value of each prize.

Discussion

2681.	Find one word or phrase from the passage that means the same as the following:(a) extremely serious, bad or terrible (para 1-3)(b) to give enthusiastic support (para 4-5)(c) lanky (para 6-8)(d) to leave to go to another place (para 13-14)(e) wobbly (para 16-17)(f) to write something hastily or untidily (para 22-23)(g) very difficult to believe (para 23-25)(h) scamper (para 27-28)(i) heavy shower (para 28)
Answer» Find one word or phrase from the passage that means the same as the following: (a) extremely serious, bad or terrible (para 1-3) (b) to give enthusiastic support (para 4-5) (c) lanky (para 6-8) (d) to leave to go to another place (para 13-14) (e) wobbly (para 16-17) (f) to write something hastily or untidily (para 22-23) (g) very difficult to believe (para 23-25) (h) scamper (para 27-28) (i) heavy shower (para 28)

2681.

Find one word or phrase from the passage that means the same as the following:(a) extremely serious, bad or terrible (para 1-3)(b) to give enthusiastic support (para 4-5)(c) lanky (para 6-8)(d) to leave to go to another place (para 13-14)(e) wobbly (para 16-17)(f) to write something hastily or untidily (para 22-23)(g) very difficult to believe (para 23-25)(h) scamper (para 27-28)(i) heavy shower (para 28)

Answer»

Find one word or phrase from the passage that means the same as the following:

(a) extremely serious, bad or terrible (para 1-3)

(b) to give enthusiastic support (para 4-5)

(c) lanky (para 6-8)

(d) to leave to go to another place (para 13-14)

(e) wobbly (para 16-17)

(f) to write something hastily or untidily (para 22-23)

(g) very difficult to believe (para 23-25)

(h) scamper (para 27-28)

(i) heavy shower (para 28)

Discussion

2682.	The angle of elevation of the top of a tower from the top and foot of 100 m building are 30∘ and 45∘, respectively. Find the height of the tower.
Answer» The angle of elevation of the top of a tower from the top and foot of 100 m building are $30^{\circ} a n d 45^{\circ},$ respectively. Find the height of the tower.

Discussion

2683.	Can 2 nos have 16 as their hcf and 380 as their lcm. Explain indetail
Answer» Can 2 nos have 16 as their hcf and 380 as their lcm. Explain indetail

Discussion

2684.	Find the value for x, y for : x+3y=15, 2x-5y+10=0
Answer» $Find the value for x, y for : x+3y=15, 2x-5y+10=0$

Discussion

2685.	In the following figure, the boundary of the shaded region consists of four semi-circular arcs, the smallest two being equal. If the diameter of the largest is 14 cm and of the smallest is 3.5 cm, find(i) the length of the boundary.(ii) the area of the shaded region.
Answer» In the following figure, the boundary of the shaded region consists of four semi-circular arcs, the smallest two being equal. If the diameter of the largest is 14 cm and of the smallest is 3.5 cm, find (i) the length of the boundary. (ii) the area of the shaded region.

Discussion

2686.	Can two numbers have 15 as their HCF and 175 as their LCM? Give reason.
Answer» Can two numbers have 15 as their HCF and 175 as their LCM? Give reason.

Discussion

2687.	An unbalanced cross bar is supported at (8, 0) with 3kg at (1, 0) and 5 kg at (11, 0). How much weight must be added to the 5 kg block to balance the crossbar? _kg.
Answer» An unbalanced cross bar is supported at (8, 0) with 3kg at (1, 0) and 5 kg at (11, 0). How much weight must be added to the 5 kg block to balance the crossbar? _kg.

Discussion

2688.	Draw a line, say AB, take a point C outside it. Through C, draw a line parallel to AB using ruler and compasses only.
Answer» Draw a line, say AB, take a point C outside it. Through C, draw a line parallel to AB using ruler and compasses only.

Discussion

2689.	One ticket is drawn at random from a bag containing tickets numbered 1 to 40. The probability that the selected ticket has a number, which is a multiple of 7, is [CBSE 2013C](a) 17(b) 18(c) 15(d) 740
Answer» One ticket is drawn at random from a bag containing tickets numbered 1 to 40. The probability that the selected ticket has a number, which is a multiple of 7, is [CBSE 2013C] (a) $\frac{1}{7}$ (b) $\frac{1}{8}$ (c) $\frac{1}{5}$ (d) $\frac{7}{40}$

Discussion

2690.	A triangle ABC is right angled at B. Find the value of secA.sinC−tanAtanCsinB
Answer» A triangle ABC is right angled at B. Find the value of $\frac{sec A . sin C - tan A tan C}{sin B}$

2690.

A triangle ABC is right angled at B. Find the value of secA.sinC−tanAtanCsinB

Answer»

A triangle ABC is right angled at B. Find the value of

$\frac{sec A . sin C - tan A tan C}{sin B}$

Discussion

2691.	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] [CBSE 2012]
Answer» 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] [CBSE 2012]

Discussion

2692.	Shanta runs an industry in a shed which is in the shape of a cuboid surmounted by a half cylinder (see Fig.). If the base of the shed is of dimension 7 m × 15 m, and the height of the cuboidal portion is 8 m, find the volume of air that the shed can hold. Further, suppose the machinery in the shed occupies a total space of 300 m3, and there are 20 workers, each of whom occupy about 0.08 m3 space on an average. Then, how much air is in the shed (in m3)? (Take π=227)
Answer» Shanta runs an industry in a shed which is in the shape of a cuboid surmounted by a half cylinder (see Fig.). If the base of the shed is of dimension 7 m × 15 m, and the height of the cuboidal portion is 8 m, find the volume of air that the shed can hold. Further, suppose the machinery in the shed occupies a total space of 300 $m^{3}$ , and there are 20 workers, each of whom occupy about 0.08 $m^{3}$ space on an average. Then, how much air is in the shed (in $m^{3}$ )? (Take $π = \frac{22}{7}$ )

2692.

Shanta runs an industry in a shed which is in the shape of a cuboid surmounted by a half cylinder (see Fig.). If the base of the shed is of dimension 7 m × 15 m, and the height of the cuboidal portion is 8 m, find the volume of air that the shed can hold. Further, suppose the machinery in the shed occupies a total space of 300 m3, and there are 20 workers, each of whom occupy about 0.08 m3 space on an average. Then, how much air is in the shed (in m3)? (Take π=227)

Answer»

Shanta runs an industry in a shed which is in the shape of a cuboid surmounted by a half cylinder (see Fig.). If the base of the shed is of dimension 7 m × 15 m, and the height of the cuboidal portion is 8 m, find the volume of air that the shed can hold. Further, suppose the machinery in the shed occupies a total space of 300 $m^{3}$ , and there are 20 workers, each of whom occupy about 0.08 $m^{3}$ space on an average. Then, how much air is in the shed (in $m^{3}$ )? (Take $π = \frac{22}{7}$ )

Discussion

2693.	46. What is the compound interest on38000 at 20percennt for period of 3/2year compounded semi-annually
Answer» 46. What is the compound interest on38000 at 20percennt for period of 3/2year compounded semi-annually

Discussion

2694.	In the given figure, O is the centre of the circle. AB is the tangent to the circle at the point P. If ∠APQ = 58∘ then the measue of ∠PQB is [CBSE 2014](a) 32∘(b) 58∘(c) 122∘(d) 132∘
Answer» In the given figure, O is the centre of the circle. AB is the tangent to the circle at the point P. If ∠APQ = 58^∘ then the measue of ∠PQB is [CBSE 2014] (a) 32^∘ (b) 58^∘ (c) 122^∘ (d) 132^∘

Discussion

2695.	A point P(-3,2) is the midpoint of a line segment AB.If coordinates of B are (5, -2),find the coordinates of A.
Answer» A point P(-3,2) is the midpoint of a line segment AB.If coordinates of B are (5, -2),find the coordinates of A.

Discussion

2696.	For a certain distribution, mode and median were found to be 1000 and 1250 respectively. Find mean for this distribution using an empirical relation. [CBSE 2014]
Answer» For a certain distribution, mode and median were found to be 1000 and 1250 respectively. Find mean for this distribution using an empirical relation. [CBSE 2014]

Discussion

2697.	124.X=sin(22.5^°)
Answer» 124.X=sin(22.5^°)

Discussion

2698.	In a school, students decided to plant trees in and around the school to reduce air pollution. It was decided that the number of trees that each section of each class will plant will be double of the class in which they are studying. If there are 1 to 12 classes in the school and each class has two sections, find how many trees were planted by students. Which value is shown in the question?
Answer» In a school, students decided to plant trees in and around the school to reduce air pollution. It was decided that the number of trees that each section of each class will plant will be double of the class in which they are studying. If there are $1$ to $12$ classes in the school and each class has two sections, find how many trees were planted by students. Which value is shown in the question?

Discussion

2699.	Question 2 (ii)Find the amount of water displaced by a solid spherical ball of diameter:(ii) 0.21 m[Assume π=227]
Answer» Question 2 (ii) Find the amount of water displaced by a solid spherical ball of diameter: (ii) 0.21 m $[A s s u m e π = \frac{22}{7}]$

Discussion

2700.	I'm confused and I get no idea to present my maths projects. Please share me some ideas about how to present my maths projects. The topics are PLANNING A HOME BUDJET, SURVEY OF DIFFERENT TYPES OF BANK ACCOUNTS,RATES OF INTEREST OFFERED. CUT A CIRCLE INTO EQUAL SECTION OF A SMALL CENTRAL ANGLE TO FIND THE AREA OF A TRIANGLE BY USING THE FORMULA A=πr2. TO USE FLAT CUT OUTS TO FORM CUBE,CUBOID,PYRAMID AND CONES AND TO OBTAIN THE FORMULA FOR VOLUME AND SURFACE AREA. PLEASE HELP ME!!😇😇😨😔
Answer» I'm confused and I get no idea to present my maths projects. Please share me some ideas about how to present my maths projects. The topics are PLANNING A HOME BUDJET, SURVEY OF DIFFERENT TYPES OF BANK ACCOUNTS,RATES OF INTEREST OFFERED. CUT A CIRCLE INTO EQUAL SECTION OF A SMALL CENTRAL ANGLE TO FIND THE AREA OF A TRIANGLE BY USING THE FORMULA A=πr2. TO USE FLAT CUT OUTS TO FORM CUBE,CUBOID,PYRAMID AND CONES AND TO OBTAIN THE FORMULA FOR VOLUME AND SURFACE AREA. PLEASE HELP ME!!😇😇😨😔

Discussion

Explore topic-wise InterviewSolutions in .

Which of the following graphs represents the linear polynomial, -3x + 4y = 12

If cosec2 θ (1 + cos θ) (1 − cos θ) = λ, then find the value of λ.

Every even integer is of the form 2m, where m is an integer (True/False).

Solve the equations 3x+4y-10=0 and x-y=1 for X and y.

Using Euclid's division algorithm, find the HCF of(i) 612 and 1314(ii) 1260 and 7344(iii) 4052 and 12576

If the matrices A=abcd and B=1101 commute with each other, then C = ______________.

integartion of 1/cos(x-a)(x-b)

Find a relation between x and y, if the points A(x, y), B(−5, 7) and C(−4, 5) are collinear. [CBSE 2015]

An unbiased coin is tossed once, the probability of getting head is(a) 12 (b) 1 (c) 13 (d) 14

Bharat Lamp Ltd. issued 30,000 fully paid-up shares of ₹ 100 each for purchase of the following assets and liabilities from Sharma & Co: Plant ₹ 7,00,000 Stock-in-Trade ₹ 9,00,000 Land and Building ₹ 12,00,000 Sundry Creditors ₹ 2,00,000 You are required to pass necessary Journal entries.

In ΔABC, D and E lie on the line AB and AC respectively, as shown in the figure.Find the value of ∠AED.

A boat goes 12 km upstream and 40 km downstream in 8 hours.It can go 16 km upstream and 32 km downstream in the same time.Find the speed of the boat in still water and the speed of the stream.

If x ∝ y , and y = 9 when x = 3. If value of y = 27 then value of x =

Question 4If AB is a chord of a circle with centre O, AOC is a diameter and tangent T at A as shown in the figure. Prove that ∠BAT = ∠ACB.

The discriminant of 4x^2 + 4x + 1 = 0 is

To draw a pair of tangents to a circle which are inclined to each other at an angle of 35°, it is required to draw tangents at the end points of those two radii of the circle, the angle between which is(a) 105°(b) 70°(c) 140°(d) 145°

The midpoint of the line segment AB as shown in the diagram is (-4, 2). Write down the coordinates of A, B.

If the total surface area of a solid hemisphere is 462 cm2, find its volume (Take π = 22/7 ) [CBSE 2014]

A cylindrical container of radius 6 cm and height 15 cm is filled with ice-cream. The whole ice-cream has to be distributed to 10 children in equal cones with hemispherical tops. If the height of the conical portion is 4 times the radius of its base, then find the radius of the ice-cream cone.

From an external point P, two tangents are drawn that touch the circle at points Q and R. The centre of the circle is O. Points O and P are joined. The ratio of ∠OPR and ∠OPQ is ______.

If P (x, 6) is the mid-point of the line segment joining A (6, 5) and B (4, y), find y.

If the angle between two radii of a circle is 130°, then the angle between the tangent at the ends of the radii is(a) 65°(b) 40°(c) 50°(d) 90°

Question 23 Which of the following shows the maximum rise in temperature ? (a) 23o to 32o (b) −10o to 1o (c) −18o to −11o (d) −5o to 5o

If y = 12 (3x+7) is rewritten in the form ax+by+c=0, what are the values of a, b and c?

Coloriez l'image et écrivez le nom de la couleur utilisée.

A pen cost rs 11 and a notebook costs rs13. Find the number of ways in which a person can spend can spend exactly rs1000 to buy pens and notebooks.

9sec2θ - 9tan2θ is equal to:

The dimensions of a cuboid are 44 cm, 21 cm, 12 cm. It is melted and a cone of height 24 cm is made. Find the radius of its base.

A sum of Rs. 700 is to be used to give seven cash prizes to students of a school for their overall academic performance. If each prize is Rs.20 less than its preceding prize, find the value of each prize.

The angle of elevation of the top of a tower from the top and foot of 100 m building are 30∘ and 45∘, respectively. Find the height of the tower.

Can 2 nos have 16 as their hcf and 380 as their lcm. Explain indetail

Find the value for x, y for : x+3y=15, 2x-5y+10=0

In the following figure, the boundary of the shaded region consists of four semi-circular arcs, the smallest two being equal. If the diameter of the largest is 14 cm and of the smallest is 3.5 cm, find(i) the length of the boundary.(ii) the area of the shaded region.

Can two numbers have 15 as their HCF and 175 as their LCM? Give reason.

An unbalanced cross bar is supported at (8, 0) with 3kg at (1, 0) and 5 kg at (11, 0). How much weight must be added to the 5 kg block to balance the crossbar? _kg.

Draw a line, say AB, take a point C outside it. Through C, draw a line parallel to AB using ruler and compasses only.

One ticket is drawn at random from a bag containing tickets numbered 1 to 40. The probability that the selected ticket has a number, which is a multiple of 7, is [CBSE 2013C](a) 17(b) 18(c) 15(d) 740

A triangle ABC is right angled at B. Find the value of secA.sinC−tanAtanCsinB

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] [CBSE 2012]

46. What is the compound interest on38000 at 20percennt for period of 3/2year compounded semi-annually

In the given figure, O is the centre of the circle. AB is the tangent to the circle at the point P. If ∠APQ = 58∘ then the measue of ∠PQB is [CBSE 2014](a) 32∘(b) 58∘(c) 122∘(d) 132∘

A point P(-3,2) is the midpoint of a line segment AB.If coordinates of B are (5, -2),find the coordinates of A.

For a certain distribution, mode and median were found to be 1000 and 1250 respectively. Find mean for this distribution using an empirical relation. [CBSE 2014]

124.X=sin(22.5^°)

Question 2 (ii)Find the amount of water displaced by a solid spherical ball of diameter:(ii) 0.21 m[Assume π=227]