32581 + Interview Questions in Mathematics Page 127 InterviewSolution

6301.	Fill In The Blanks If arcs AXB and CYD of a circle are congruent, then AB : CD = ___________.
Answer» Fill In The Blanks If arcs AXB and CYD of a circle are congruent, then AB : CD = ___________.

Discussion

6302.	Question 82(iii)Given below is a frequency distribution table. Read it and answer the questions that follow.Class intervalFrequency10−20520−301030−40440−501550−6012What is the frequency of the third class ?
Answer» Question 82(iii) Given below is a frequency distribution table. Read it and answer the questions that follow. $\begin{matrix} C l a s s i n t e r v a l & F r e q u e n c y 10 - 20 & 5 20 - 30 & 10 30 - 40 & 4 40 - 50 & 15 50 - 60 & 12 \end{matrix}$ What is the frequency of the third class ?

6302.

Question 82(iii)Given below is a frequency distribution table. Read it and answer the questions that follow.Class intervalFrequency10−20520−301030−40440−501550−6012What is the frequency of the third class ?

Answer»

Question 82(iii)

Given below is a frequency distribution table. Read it and answer the questions that follow.

$\begin{matrix} C l a s s i n t e r v a l & F r e q u e n c y 10 - 20 & 5 20 - 30 & 10 30 - 40 & 4 40 - 50 & 15 50 - 60 & 12 \end{matrix}$

What is the frequency of the third class ?

Discussion

6303.	Determine the ratio in which the point (-6, a) divides the join of A (-3, 1) and B (-8, 9). Also find the value of a.
Answer» Determine the ratio in which the point (-6, a) divides the join of A (-3, 1) and B (-8, 9). Also find the value of a.

Discussion

6304.	If A={1,2,3,4}B={3,4,5,6},C={5,6,7,8}and D={7,8,9,10};(i) A∪B(ii) A∪C(iii) B∪C(iv) B∪D(v) A∪B∪C(vi) A∪B∪D(vii) B∪C∪D
Answer» If $A = {1, 2, 3, 4} B = {3, 4, 5, 6},$ $C = {5, 6, 7, 8}$ and $D = {7, 8, 9, 10}$ ; $(i) A \cup B$ $(i i) A \cup C$ $(i i i) B \cup C$ $(i v) B \cup D$ $(v) A \cup B \cup C$ $(v i) A \cup B \cup D$ $(v i i) B \cup C \cup D$

Discussion

6305.	Question 2 (ii)Find the roots of the following equations:(ii) 2x2+x−4=0
Answer» Question 2 (ii) Find the roots of the following equations: (ii) $2 x^{2} + x - 4 = 0$

Discussion

6306.	Rishabh has a recurring deposit account in a post office for 3 years at 8% p.a. simple interest. If he gets Rs 9,990 as interest at the time of maturity, find: (i) the monthly instalment. (ii) the amount of maturity.
Answer» Rishabh has a recurring deposit account in a post office for 3 years at 8% p.a. simple interest. If he gets Rs 9,990 as interest at the time of maturity, find: (i) the monthly instalment. (ii) the amount of maturity.

6306.

Rishabh has a recurring deposit account in a post office for 3 years at 8% p.a. simple interest. If he gets Rs 9,990 as interest at the time of maturity, find: (i) the monthly instalment. (ii) the amount of maturity.

Answer»

Rishabh has a recurring deposit account in a post office for 3 years at 8% p.a. simple interest. If he gets Rs 9,990 as interest at the time of maturity, find:

(i) the monthly instalment.

(ii) the amount of maturity.

Discussion

6307.	Question 1Find the mean marks of students for the following distribution MarksNumber of students0 and above 8010 and above 7720 and above 7230 and above 6540 and above 5550 and above 4360 and above 2870 and above 1680 and above 1090 and above 8100 and above 0
Answer» Question 1 Find the mean marks of students for the following distribution $\begin{matrix} M a r k s & N u m b e r o f s t u d e n t s 0 a n d a b o v e & 80 10 a n d a b o v e & 77 20 a n d a b o v e & 72 30 a n d a b o v e & 65 40 a n d a b o v e & 55 50 a n d a b o v e & 43 60 a n d a b o v e & 28 70 a n d a b o v e & 16 80 a n d a b o v e & 10 90 a n d a b o v e & 8 100 a n d a b o v e & 0 \end{matrix}$

Discussion

6308.	The sum of the intercepts cut off by the plane 2x+y−2z=5 on the coordinate axes is
Answer» The sum of the intercepts cut off by the plane $2 x + y - 2 z = 5$ on the coordinate axes is

Discussion

6309.	In the given figure, if quadrilateral PQRS circumscribes a circle, then PD + QB = (a) PQ(b) QR(c) PR(d) PS
Answer» In the given figure, if quadrilateral PQRS circumscribes a circle, then PD + QB = (a) PQ (b) QR (c) PR (d) PS

Discussion

6310.	(sin x+cosecx)^2+(cosx+secx)^2=tan^2x+cot^2x+7
Answer» (sin x+cosecx)^2+(cosx+secx)^2=tan^2x+cot^2x+7

Discussion

6311.	The figure shows a circle with centre O and radius 4cm. ∠ BOD = 72∘. A point is selected at random inside the circle. Find the probability that point lies inside the sector.
Answer» The figure shows a circle with centre O and radius 4cm. $∠$ BOD = $72^{\circ}$ . A point is selected at random inside the circle. Find the probability that point lies inside the sector.

Discussion

6312.	Question 3 (i)In the following APs, find the missing term in the boxes.
Answer» Question 3 (i) In the following APs, find the missing term in the boxes.

Discussion

6313.	For what value of p , x=3 will be a root of the equation px2 + 2x - 3 =0
Answer» For what value of p , x=3 will be a root of the equation p $x^{2}$ + 2x - 3 =0

Discussion

6314.	Suppose matrix A=[2T−16] and X is a 2 × 1 non-null column vector, then AX = λIX for what value(s) of λ? (I is the identity matrix of order 2)
Answer» Suppose matrix $A = [\begin{matrix} 2 & T - 1 & 6 \end{matrix}]$ and X is a 2 $\times$ 1 non-null column vector, then AX = $λ$ IX for what value(s) of $λ$ ? (I is the identity matrix of order 2)

Discussion

6315.	Find the area of △ABC with vertices A(0,-1), B(2,1) and C(0,3). Also, find the area of the triangle formed by joining the midpoints of its sides. Show that the ratio ofyou have to be careful how you use less-than signs, ampersands, and other HTML special the area of two triangles is 4: 1.
Answer» Find the area of $△ A B C$ with vertices A(0,-1), B(2,1) and C(0,3). Also, find the area of the triangle formed by joining the midpoints of its sides. Show that the ratio ofyou have to be careful how you use less-than signs, ampersands, and other HTML special the area of two triangles is 4: 1.

Discussion

6316.	In a parallelogram , one angle is 45th of the adjacent angle. The adjacent angles of the parallelogram are
Answer» In a parallelogram , one angle is $\frac{4}{5}$ ^th of the adjacent angle. The adjacent angles of the parallelogram are

Discussion

6317.	In the given figure, PQ and PR are tangents to a circle with centre A. If ∠ QPA = 27o then ∠ QAR equals (a) 63o (b) 117o (c) 126o (d) 153o
Answer» In the given figure, PQ and PR are tangents to a circle with centre A. If $∠$ QPA = $27^{o}$ then $∠$ QAR equals (a) $63^{o}$ (b) $117^{o}$ (c) $126^{o}$ (d) $153^{o}$

6317.

In the given figure, PQ and PR are tangents to a circle with centre A. If ∠ QPA = 27o then ∠ QAR equals (a) 63o (b) 117o (c) 126o (d) 153o

Answer»

In the given figure, PQ and PR are tangents to a circle with centre A. If $∠$ QPA = $27^{o}$ then $∠$ QAR equals

(a) $63^{o}$ (b) $117^{o}$ (c) $126^{o}$ (d) $153^{o}$

Discussion

6318.	In the given figure, PQ and PR are two tangents drawn from an external point P to a circle with centre 'O'. If OQ = 3 cm and PS = 2 cm then, find the perimeter (in cm) of quadrilateral PQOR.14
Answer» In the given figure, PQ and PR are two tangents drawn from an external point P to a circle with centre 'O'. If OQ = 3 cm and PS = 2 cm then, find the perimeter (in cm) of quadrilateral PQOR. 14

Discussion

6319.	The radius of the base is 10 cm and the height is 21 cm. Find the volume of the cone.
Answer» The radius of the base is 10 cm and the height is 21 cm. Find the volume of the cone.

Discussion

6320.	The inner diameter of a glass is 7 cm and it has a raised portion in the bottom in the shape of a hemisphere, as shown in thefigure. If the height of the glass is 16 cm, find the apparent capacity and the actual capacity of the glass.
Answer» The inner diameter of a glass is 7 cm and it has a raised portion in the bottom in the shape of a hemisphere, as shown in the figure. If the height of the glass is 16 cm, find the apparent capacity and the actual capacity of the glass.

Discussion

6321.	The curved surface area of a right circular cylinder of height 12 cm and radius 7 cm is _____ cm2.
Answer» The curved surface area of a right circular cylinder of height 12 cm and radius 7 cm is _____ $c m^{2}$ .

Discussion

6322.	In Δ ABC, AB=10 cm, ∠A=40∘, ∠B=80∘. Find the area of triangle ABC.[tan 40∘=0.83tan 80∘=5.6]
Answer» In $Δ A B C, A B = 10 c m, ∠ A = 40^{\circ}, ∠ B = 80^{\circ} .$ Find the area of triangle ABC. $[\begin{matrix} t a n 40^{\circ} = 0.83 t a n 80^{\circ} = 5.6 \end{matrix}]$

6322.

In Δ ABC, AB=10 cm, ∠A=40∘, ∠B=80∘. Find the area of triangle ABC.[tan 40∘=0.83tan 80∘=5.6]

Answer»

In $Δ A B C, A B = 10 c m, ∠ A = 40^{\circ}, ∠ B = 80^{\circ} .$ Find the area of triangle ABC.

$[\begin{matrix} t a n 40^{\circ} = 0.83 t a n 80^{\circ} = 5.6 \end{matrix}]$

Discussion

6323.	If tangents PA and PB from a point P to a circle with centre O are inclined to each other at(a) 50°(b) 60°(c) 70°(d) 80°
Answer» If tangents PA and PB from a point P to a circle with centre O are inclined to each other at (a) 50° (b) 60° (c) 70° (d) 80°

Discussion

6324.	Show that the square of any positive integer cannot be of the form 3M + 2 where M is a natural number
Answer» Show that the square of any positive integer cannot be of the form 3M + 2 where M is a natural number

Discussion

6325.	23x+5 <–– 12x+6;x ϵ W
Answer» $\frac{2}{3} x + 5 < - - \frac{1}{2} x + 6; x ϵ W$

Discussion

6326.	If the HCF of 408 and 1032 is expressible in the form 1032 m−408×5, find m.
Answer» If the HCF of 408 and 1032 is expressible in the form 1032 $m - 408 \times 5,$ find m.

Discussion

6327.	50.The radius of spherical balloon is decreasing at the rate of 2 cm/sec. Find the rate of decrease of volume and it's surface area. When the surface area is 144cm.
Answer» 50.The radius of spherical balloon is decreasing at the rate of 2 cm/sec. Find the rate of decrease of volume and it's surface area. When the surface area is 144cm.

Discussion

6328.	From a solid cylinder whose height is 2.4 cm and diameter 1.4 cm, a conical cavity of the same height and same diameter as that of cylinder is hollowed out. Find the total surface area of the remaining solid. (Use π=227)
Answer» From a solid cylinder whose height is 2.4 cm and diameter 1.4 cm, a conical cavity of the same height and same diameter as that of cylinder is hollowed out. Find the total surface area of the remaining solid. $(U s e π = \frac{22}{7})$

Discussion

6329.	The number of distinct inflection points of f(x)=x4−4x3+12x2+x−1 is
Answer» The number of distinct inflection points of $f (x) = x^{4} - 4 x^{3} + 12 x^{2} + x - 1$ is

Discussion

6330.	If the first term of an AP is 3 and the common difference is 5, the nth term of the AP is .
Answer» If the first term of an AP is 3 and the common difference is 5, the $n^{t h}$ term of the AP is .

Discussion

6331.	The height of a cone is 20 cm & the radius of its base is 15 cm. Find
Answer» The height of a cone is 20 cm & the radius of its base is 15 cm. Find

Discussion

6332.	Question 10The dimensions of a godown are 40m, 25m and 10 m. If it is filled with cuboidal boxes each of dimensions 2m×1.25m×1m, then the number of boxes will be (a) 1800 (b) 2000 (c) 4000 (d) 8000
Answer» Question 10 The dimensions of a godown are 40m, 25m and 10 m. If it is filled with cuboidal boxes each of dimensions $2 m \times 1.25 m \times 1 m$ , then the number of boxes will be (a) 1800 (b) 2000 (c) 4000 (d) 8000

6332.

Question 10The dimensions of a godown are 40m, 25m and 10 m. If it is filled with cuboidal boxes each of dimensions 2m×1.25m×1m, then the number of boxes will be (a) 1800 (b) 2000 (c) 4000 (d) 8000

Answer»

Question 10

The dimensions of a godown are 40m, 25m and 10 m. If it is filled with cuboidal boxes each of dimensions $2 m \times 1.25 m \times 1 m$ , then the number of boxes will be

(a) 1800 (b) 2000 (c) 4000 (d) 8000

Discussion

6333.	In an AP an=4 , d=2, Sn =-14 ,find n and a
Answer» In an AP an=4 , d=2, Sn =-14 ,find n and a

Discussion

6334.	Find the range of values of x for the following inequation: (x+2)(x–3)<0 ; x∈R.
Answer» Find the range of values of $x$ for the following inequation: $(x + 2) (x - 3) < 0; x \in R .$

Discussion

6335.	A metallic sphere 1 dm in diameter is beaten into a circular sheet of uniform thickness equal to 1 mm. Find the radius of the sheet.
Answer» A metallic sphere 1 dm in diameter is beaten into a circular sheet of uniform thickness equal to 1 mm. Find the radius of the sheet.

Discussion

6336.	A card is drawn from the deck of playing cards and a gambler bets that it is either a spade or an ace. What are the odds against his winning this bet?
Answer» A card is drawn from the deck of playing cards and a gambler bets that it is either a spade or an ace. What are the odds against his winning this bet?

Discussion

6337.	Question 7 (iv)Solve the following pair of linear equations.(a−b)x+(a+b)y=a2−2ab−b2(a+b)(x+y)=a2+b2
Answer» Question 7 (iv) Solve the following pair of linear equations. $(a - b) x + (a + b) y = a^{2} - 2 a b - b^{2}$ $(a + b) (x + y) = a^{2} + b^{2}$

Discussion

6338.	If the mean of the data is 60, find the value of p. Class markfrequency25−351235−451645−55p55−651565−75875−851985−951317
Answer» If the mean of the data is 60, find the value of $p .$ $\begin{matrix} C l a s s m a r k & f r e q u e n c y 25 - 35 & 12 35 - 45 & 16 45 - 55 & p 55 - 65 & 15 65 - 75 & 8 75 - 85 & 19 85 - 95 & 13 \end{matrix}$ 17

Discussion

6339.	1. Sinθ +cosθ =1 And Cosθ +Sinθ =Sinθ Cosθ
Answer» 1. Sinθ +cosθ =1 And Cosθ +Sinθ =Sinθ Cosθ

Discussion

6340.

Enter the following transactions in the Journal of M/s. Karim Bros., Prop. Shri Karim Khan, Kolkata, post to the Ledger: 2019 ₹ April 1 Assets: Cash in Hand ₹ 20,000; Cash at Bank ₹ 35,000; Stock ₹ 15,000; Furniture ₹ 4,500; Input SGST ₹ 5,000; Input IGST ₹ 2,000 Debtors: Poonam ₹ 20,000; Sonu ₹ 10,000 Liabilities Creditors: Ashok ₹ 13,500; Pankaj ₹ 21,500 April 4 Purchased goods from Pankaj, Kolkata 5,000 April 7 Paid to Ashok by cheque in full settlement of his account* 13,000 April 10 Sold goods to Poonam, Delhi 11,000 April 12 Purchased goods from Ashok, Delhi 15,000 April 15 Sold goods to Sonu, Kanpur 6,000 April 18 Received cheque from Poonam on account* 24,500 Allowed her discount* 500 April 25 Paid for stationery 1,200 April 27 Paid telephone bill by cheque 3,500 April 30 Paid salaries* 6,000 Inter-state transactions are subject to levy of IGST 12% and Intra-state transactions are subject to levy of CGST and SGST 6% each. GST is not levied on transactions marked with (*).

Answer» Enter the following transactions in the Journal of M/s. Karim Bros., Prop. Shri Karim Khan, Kolkata, post to the Ledger:

2019		₹
April 1	Assets: Cash in Hand ₹ 20,000; Cash at Bank ₹ 35,000; Stock ₹ 15,000; Furniture ₹ 4,500; Input SGST ₹ 5,000; Input IGST ₹ 2,000 Debtors: Poonam ₹ 20,000; Sonu ₹ 10,000 Liabilities Creditors: Ashok ₹ 13,500; Pankaj ₹ 21,500
April 4	Purchased goods from Pankaj, Kolkata	5,000
April 7	Paid to Ashok by cheque in full settlement of his account*	13,000
April 10	Sold goods to Poonam, Delhi	11,000
April 12	Purchased goods from Ashok, Delhi	15,000
April 15	Sold goods to Sonu, Kanpur	6,000
April 18	Received cheque from Poonam on account*	24,500
	Allowed her discount*	500
April 25	Paid for stationery	1,200
April 27	Paid telephone bill by cheque	3,500
April 30	Paid salaries*	6,000

Inter-state transactions are subject to levy of IGST 12% and Intra-state transactions are subject to levy of CGST and SGST 6% each. GST is not levied on transactions marked with (*).

Discussion

6341.	Write the condition to be satisfied by q so that a rational number pqhas a terminating decimal expansion.
Answer» Write the condition to be satisfied by q so that a rational number $\frac{p}{q}$ has a terminating decimal expansion.

Discussion

6342.	ABCD is a rectangle such that ∠CAB=60∘ and AC=a units. Find the area of rectangle ABCD.
Answer» ABCD is a rectangle such that $∠ C A B = 60^{\circ}$ and $A C = a u n i t s$ . Find the area of rectangle ABCD.

Discussion

6343.	Find the sum of the terms of the finite AP : 1, 3, 5, 7,…,199
Answer» Find the sum of the terms of the finite AP : 1, 3, 5, 7,…,199

Discussion

6344.	Question 92Draw a histogram to represent the frequency distribution in question 91. ?
Answer» Question 92 Draw a histogram to represent the frequency distribution in question 91. ?

6344.

Question 92Draw a histogram to represent the frequency distribution in question 91. ?

Answer»

Question 92

Draw a histogram to represent the frequency distribution in question 91. ?

Discussion

6345.

Find the missing value , if mean is 23. X 5 15 ? 35 45 Frequency 4 8 10 6 2

Answer» Find the missing value , if mean is 23.

X	5	15	?	35	45
Frequency	4	8	10	6	2

Discussion

6346.	Write the value of sec2θ1+sinθ1-sinθ. [CBSE 2009]
Answer» Write the value of $\sec^{2} θ (1 + \sin θ) (1 - \sin θ)$ . [CBSE 2009]

Discussion

6347.	For what value of A is sin A = cos A?
Answer» For what value of A is sin A = cos A?

Discussion

6348.	A cylindrical vessel with internal diameter 10 cm and height 10.5 cm is full of water. A solid cone of base diameter 7 cm and height 6 cm is completely immersed in water. Find the volume of water(i) displaced out of the cylinder(ii) left in the cylinder. [CBSE 2009]
Answer» A cylindrical vessel with internal diameter 10 cm and height 10.5 cm is full of water. A solid cone of base diameter 7 cm and height 6 cm is completely immersed in water. Find the volume of water (i) displaced out of the cylinder (ii) left in the cylinder. [CBSE 2009]

Discussion

6349.	Question 11An aeroplane leaves an airport and flies due north at a speed of 1000 km per hour. At the same time, another aeroplane leaves the same airport and flies due west at a speed of 1200 km per hour. How far apart will the two planes be after 112 hours?
Answer» Question 11 An aeroplane leaves an airport and flies due north at a speed of 1000 km per hour. At the same time, another aeroplane leaves the same airport and flies due west at a speed of 1200 km per hour. How far apart will the two planes be after $1 \frac{1}{2}$ hours?

Discussion

6350.	Find the value 4[1 – sin2θ] [1 + tan2θ]
Answer» Find the value 4[1 – $s i n^{2} θ$ ] [1 + $t a n^{2} θ$ ]

Discussion

Explore topic-wise InterviewSolutions in .

Fill In The Blanks If arcs AXB and CYD of a circle are congruent, then AB : CD = ___________.

Question 82(iii)Given below is a frequency distribution table. Read it and answer the questions that follow.Class intervalFrequency10−20520−301030−40440−501550−6012What is the frequency of the third class ?

Determine the ratio in which the point (-6, a) divides the join of A (-3, 1) and B (-8, 9). Also find the value of a.

If A={1,2,3,4}B={3,4,5,6},C={5,6,7,8}and D={7,8,9,10};(i) A∪B(ii) A∪C(iii) B∪C(iv) B∪D(v) A∪B∪C(vi) A∪B∪D(vii) B∪C∪D

Question 2 (ii)Find the roots of the following equations:(ii) 2x2+x−4=0

Rishabh has a recurring deposit account in a post office for 3 years at 8% p.a. simple interest. If he gets Rs 9,990 as interest at the time of maturity, find: (i) the monthly instalment. (ii) the amount of maturity.

Question 1Find the mean marks of students for the following distribution MarksNumber of students0 and above 8010 and above 7720 and above 7230 and above 6540 and above 5550 and above 4360 and above 2870 and above 1680 and above 1090 and above 8100 and above 0

The sum of the intercepts cut off by the plane 2x+y−2z=5 on the coordinate axes is

In the given figure, if quadrilateral PQRS circumscribes a circle, then PD + QB = (a) PQ(b) QR(c) PR(d) PS

(sin x+cosecx)^2+(cosx+secx)^2=tan^2x+cot^2x+7

The figure shows a circle with centre O and radius 4cm. ∠ BOD = 72∘. A point is selected at random inside the circle. Find the probability that point lies inside the sector.

Question 3 (i)In the following APs, find the missing term in the boxes.

For what value of p , x=3 will be a root of the equation px2 + 2x - 3 =0

Suppose matrix A=[2T−16] and X is a 2 × 1 non-null column vector, then AX = λIX for what value(s) of λ? (I is the identity matrix of order 2)

Find the area of △ABC with vertices A(0,-1), B(2,1) and C(0,3). Also, find the area of the triangle formed by joining the midpoints of its sides. Show that the ratio ofyou have to be careful how you use less-than signs, ampersands, and other HTML special the area of two triangles is 4: 1.

In a parallelogram , one angle is 45th of the adjacent angle. The adjacent angles of the parallelogram are

In the given figure, PQ and PR are tangents to a circle with centre A. If ∠ QPA = 27o then ∠ QAR equals (a) 63o (b) 117o (c) 126o (d) 153o

In the given figure, PQ and PR are two tangents drawn from an external point P to a circle with centre 'O'. If OQ = 3 cm and PS = 2 cm then, find the perimeter (in cm) of quadrilateral PQOR.14

The radius of the base is 10 cm and the height is 21 cm. Find the volume of the cone.

The inner diameter of a glass is 7 cm and it has a raised portion in the bottom in the shape of a hemisphere, as shown in thefigure. If the height of the glass is 16 cm, find the apparent capacity and the actual capacity of the glass.

The curved surface area of a right circular cylinder of height 12 cm and radius 7 cm is _____ cm2.

In Δ ABC, AB=10 cm, ∠A=40∘, ∠B=80∘. Find the area of triangle ABC.[tan 40∘=0.83tan 80∘=5.6]

If tangents PA and PB from a point P to a circle with centre O are inclined to each other at(a) 50°(b) 60°(c) 70°(d) 80°

Show that the square of any positive integer cannot be of the form 3M + 2 where M is a natural number

23x+5 &lt;–– 12x+6;x ϵ W

If the HCF of 408 and 1032 is expressible in the form 1032 m−408×5, find m.

50.The radius of spherical balloon is decreasing at the rate of 2 cm/sec. Find the rate of decrease of volume and it's surface area. When the surface area is 144cm.

From a solid cylinder whose height is 2.4 cm and diameter 1.4 cm, a conical cavity of the same height and same diameter as that of cylinder is hollowed out. Find the total surface area of the remaining solid. (Use π=227)

The number of distinct inflection points of f(x)=x4−4x3+12x2+x−1 is

If the first term of an AP is 3 and the common difference is 5, the nth term of the AP is .

The height of a cone is 20 cm &amp; the radius of its base is 15 cm. Find

Question 10The dimensions of a godown are 40m, 25m and 10 m. If it is filled with cuboidal boxes each of dimensions 2m×1.25m×1m, then the number of boxes will be (a) 1800 (b) 2000 (c) 4000 (d) 8000

In an AP an=4 , d=2, Sn =-14 ,find n and a

Find the range of values of x for the following inequation: (x+2)(x–3)&lt;0 ; x∈R.

A metallic sphere 1 dm in diameter is beaten into a circular sheet of uniform thickness equal to 1 mm. Find the radius of the sheet.

A card is drawn from the deck of playing cards and a gambler bets that it is either a spade or an ace. What are the odds against his winning this bet?

Question 7 (iv)Solve the following pair of linear equations.(a−b)x+(a+b)y=a2−2ab−b2(a+b)(x+y)=a2+b2

If the mean of the data is 60, find the value of p. Class markfrequency25−351235−451645−55p55−651565−75875−851985−951317

1. Sinθ +cosθ =1 And Cosθ +Sinθ =Sinθ Cosθ

Write the condition to be satisfied by q so that a rational number pqhas a terminating decimal expansion.

ABCD is a rectangle such that ∠CAB=60∘ and AC=a units. Find the area of rectangle ABCD.

Find the sum of the terms of the finite AP : 1, 3, 5, 7,…,199

Question 92Draw a histogram to represent the frequency distribution in question 91. ?

Find the missing value , if mean is 23. X 5 15 ? 35 45 Frequency 4 8 10 6 2

Write the value of sec2θ1+sinθ1-sinθ. [CBSE 2009]

For what value of A is sin A = cos A?

A cylindrical vessel with internal diameter 10 cm and height 10.5 cm is full of water. A solid cone of base diameter 7 cm and height 6 cm is completely immersed in water. Find the volume of water(i) displaced out of the cylinder(ii) left in the cylinder. [CBSE 2009]

Question 11An aeroplane leaves an airport and flies due north at a speed of 1000 km per hour. At the same time, another aeroplane leaves the same airport and flies due west at a speed of 1200 km per hour. How far apart will the two planes be after 112 hours?

Find the value 4[1 – sin2θ] [1 + tan2θ]

23x+5 <–– 12x+6;x ϵ W

The height of a cone is 20 cm & the radius of its base is 15 cm. Find

Find the range of values of x for the following inequation: (x+2)(x–3)<0 ; x∈R.