32581 + Interview Questions in Mathematics

1.	Calculate the Mean of the given distribution, using Assumed mean Method.MarksNo. of Students10−20220−30630−401040−501250−60960−70870−80480−90348.89
Answer» Calculate the Mean of the given distribution, using Assumed mean Method. $\begin{matrix} Marks & No. of Students 10 - 20 & 2 20 - 30 & 6 30 - 40 & 10 40 - 50 & 12 50 - 60 & 9 60 - 70 & 8 70 - 80 & 4 80 - 90 & 3 \end{matrix}$ 48.89

1.

Calculate the Mean of the given distribution, using Assumed mean Method.MarksNo. of Students10−20220−30630−401040−501250−60960−70870−80480−90348.89

Answer»

Calculate the Mean of the given distribution, using Assumed mean Method.

$\begin{matrix} Marks & No. of Students 10 - 20 & 2 20 - 30 & 6 30 - 40 & 10 40 - 50 & 12 50 - 60 & 9 60 - 70 & 8 70 - 80 & 4 80 - 90 & 3 \end{matrix}$

48.89

Discussion

2.	If the lines ax + 2y + 1 = 0, bx + y + 1 = 0 and cx + 4y + 1 = 0 are concurrent, then a, b, c are in __________.
Answer» If the lines ax + 2y + 1 = 0, bx + y + 1 = 0 and cx + 4y + 1 = 0 are concurrent, then a, b, c are in __________.

Discussion

3.	Draw the graph y=3x2−5x+2
Answer» Draw the graph $y = 3 x^{2} - 5 x + 2$

Discussion

4.	Solve the following pairs of linear (simultaneous) equations using method of elimination by substitution: 2x−3y+6=0 2x+3y−18=0
Answer» Solve the following pairs of linear (simultaneous) equations using method of elimination by substitution: $2 x - 3 y + 6 = 0$ $2 x + 3 y - 18 = 0$

4.

Solve the following pairs of linear (simultaneous) equations using method of elimination by substitution: 2x−3y+6=0 2x+3y−18=0

Answer»

Solve the following pairs of linear (simultaneous) equations using method of elimination by substitution:

$2 x - 3 y + 6 = 0$

$2 x + 3 y - 18 = 0$

Discussion

5.	A letter is chosen at random from the word "PROBABILITY". The probability that it is a vowel is
Answer» A letter is chosen at random from the word "PROBABILITY". The probability that it is a vowel is

5.

A letter is chosen at random from the word "PROBABILITY". The probability that it is a vowel is

Answer»

A letter is chosen at random from the word "PROBABILITY".

The probability that it is a vowel is

Discussion

6.	The sum of the digits of a two-digit number is 12.The number obtained by interchanging its digits exceeds the given number by 18.Find the number.
Answer» The sum of the digits of a two-digit number is 12.The number obtained by interchanging its digits exceeds the given number by 18.Find the number.

Discussion

7.

Consider the following distribution of daily wages of 50 workers of a factory. Daily wages (in Rs) 500 − 520 520 − 540 540 − 560 560 − 580 580 − 600 Number of workers 12 14 8 6 10 Find the mean daily wages of the workers of the factory by using an appropriate method.

Answer»

Consider the following distribution of daily wages of 50 workers of a factory.

Daily wages (in Rs)	500 − 520	520 − 540	540 − 560	560 − 580	580 − 600
Number of workers	12	14	8	6	10

Find the mean daily wages of the workers of the factory by using an appropriate method.

Discussion

8.	32. The radius of the circle which touches x and y axes and the circle x²+y²-12x-12y+36=0 can be 1. 6(\sqrt{}2+1) 2. 6(\sqrt{}2-1) 3. 6(3+2\sqrt{}2) 4. (3-2\sqrt{}2)
Answer» 32. The radius of the circle which touches x and y axes and the circle x²+y²-12x-12y+36=0 can be 1. 6(\sqrt{}2+1) 2. 6(\sqrt{}2-1) 3. 6(3+2\sqrt{}2) 4. (3-2\sqrt{}2)

Discussion

9.	Draw the graph based on the following table and identify the variation. Find the constant of proportionality. x24510y4020168
Answer» Draw the graph based on the following table and identify the variation. Find the constant of proportionality. $\begin{matrix} x & 2 & 4 & 5 & 10 y & 40 & 20 & 16 & 8 \end{matrix}$

9.

Draw the graph based on the following table and identify the variation. Find the constant of proportionality. x24510y4020168

Answer»

Draw the graph based on the following table and identify the variation. Find the constant of proportionality.

$\begin{matrix} x & 2 & 4 & 5 & 10 y & 40 & 20 & 16 & 8 \end{matrix}$

Discussion

10.	(i) Find the 37th term of the AP 6,734, 912, 1114,...(ii) Find the 25th term of the AP 5, 412, 4, 312, 3,...
Answer» (i) Find the 37th term of the AP $6, 7 \frac{3}{4}, 9 \frac{1}{2}, 11 \frac{1}{4}, . . .$ (ii) Find the 25th term of the AP $5, 4 \frac{1}{2}, 4, 3 \frac{1}{2}, 3, . . .$

Discussion

11.	Retrouvez les noms.Horizontalement Verticalement1. student (8) 1. cycle (4)2. bird (6) 2. bag (3)3. key (3) 3. train (5)
Answer» Retrouvez les noms. Horizontalement Verticalement 1. student (8) 1. cycle (4) 2. bird (6) 2. bag (3) 3. key (3) 3. train (5)

Discussion

12.	A SHOPKEEPER BUYS A NUMBER OF BOOKS FOR RS.1200.IF HE HAD BOUGHT 10 MORE BOOKS FOR THE SAME AMOUNT,EACH BOOK WOULD HAVE COST HIM RS.20 LESS..HOW MANY BOOKS DID HE BUY?
Answer» A SHOPKEEPER BUYS A NUMBER OF BOOKS FOR RS.1200.IF HE HAD BOUGHT 10 MORE BOOKS FOR THE SAME AMOUNT,EACH BOOK WOULD HAVE COST HIM RS.20 LESS..HOW MANY BOOKS DID HE BUY?

Discussion

13.	A card is drawn from a deck of 52 cards. The event E is that card is not an ace of hearts. The number of outcomes favourable to E is(a) 4(b) 13(c) 48(d) 51
Answer» A card is drawn from a deck of $52$ cards. The event $E$ is that card is not an ace of hearts. The number of outcomes favourable to $E$ is $(a) 4$ $(b) 13$ $(c) 48$ $(d) 51$

Discussion

14.	Find the zeros of the quadratic polynomial (5y2 + 10y) and verify the relation between the zeros and the coefficients.
Answer» Find the zeros of the quadratic polynomial (5y² + 10y) and verify the relation between the zeros and the coefficients.

Discussion

15.	What is the rate per cent if Rs 1600 amounts to Rs 1900 in 2.5 years?
Answer» What is the rate per cent if Rs 1600 amounts to Rs 1900 in 2.5 years?

Discussion

16.	A train, travelling at a uniform speed for 360km, would have taken 48 minutes less to travel the same distance if its speed were 5km/h more. Find the original speed of the train.
Answer» A train, travelling at a uniform speed for 360km, would have taken 48 minutes less to travel the same distance if its speed were 5km/h more. Find the original speed of the train.

Discussion

17.	sin1∘ × sin2∘ × sin3∘ ×……..× sin180∘ is equal to:
Answer» sin $1^{\circ}$ $\times$ sin $2^{\circ}$ $\times$ sin $3^{\circ}$ $\times$ …….. $\times$ sin $180^{\circ}$ is equal to:

Discussion

18.	A. Find the A.P. in which (a) Tn = 2n + 1 (b) Tn = 4 − 5n (c) Sn = 5n2 + 3nB. (a) In an A.P. the fourth and seventh terms are 17 and 23 respectively, find ‘d’ and ‘a’.(b) In and A.P. T10 = 20 and T20 = 10 find T30(c) The fifth and tenth terms are in the ratio 1 : 2 and T12 = 36 find A.P.
Answer» A. Find the A.P. in which (a) T_n = 2n + 1 (b) T_n = 4 − 5n (c) S_n = 5n² + 3n B. (a) In an A.P. the fourth and seventh terms are 17 and 23 respectively, find ‘d’ and ‘a’. (b) In and A.P. T₁₀ = 20 and T₂₀ = 10 find T₃₀ (c) The fifth and tenth terms are in the ratio 1 : 2 and T₁₂ = 36 find A.P.

18.

A. Find the A.P. in which (a) Tn = 2n + 1 (b) Tn = 4 − 5n (c) Sn = 5n2 + 3nB. (a) In an A.P. the fourth and seventh terms are 17 and 23 respectively, find ‘d’ and ‘a’.(b) In and A.P. T10 = 20 and T20 = 10 find T30(c) The fifth and tenth terms are in the ratio 1 : 2 and T12 = 36 find A.P.

Answer»

A. Find the A.P. in which (a) T_n = 2n + 1 (b) T_n = 4 − 5n (c) S_n = 5n² + 3n

B. (a) In an A.P. the fourth and seventh terms are 17 and 23 respectively, find ‘d’ and ‘a’.

(b) In and A.P. T₁₀ = 20 and T₂₀ = 10 find T₃₀

(c) The fifth and tenth terms are in the ratio 1 : 2 and T₁₂ = 36 find A.P.

Discussion

19.	In a certain code , QUASK is written as RSDOP . What would be RUDRA coded as ?
Answer» In a certain code , QUASK is written as RSDOP . What would be RUDRA coded as ?

Discussion

20.	Height of a T.V. tower is 50 m. The area of the region covered by tower is?
Answer» Height of a T.V. tower is 50 m. The area of the region covered by tower is?

Discussion

21.	By what number should (−15)−1 be divided so that the quotient may be equal to (−5)−1 ?
Answer» By what number should $(- 15)^{- 1}$ be divided so that the quotient may be equal to $(- 5)^{- 1}$ ?

Discussion

22.	Question 12If 4tanθ=3, then (4sinθ−cosθ4sinθ+cosθ) is equal to(A) 23(B) 13(C) 12(D) 34
Answer» Question 12 If $4 t a n θ = 3$ , then $(\frac{4 s i n θ - c o s θ}{4 s i n θ + c o s θ})$ is equal to (A) $\frac{2}{3}$ (B) $\frac{1}{3}$ (C) $\frac{1}{2}$ (D) $\frac{3}{4}$

Discussion

23.	Given sec θ =, calculate all other trigonometric ratios.
Answer» Given sec θ =, calculate all other trigonometric ratios.

Discussion

24.	ntIntegrate the the following with respect to xn nt1/(2-cos A cos x)n
Answer» ntIntegrate the the following with respect to xn nt1/(2-cos A cos x)n

Discussion

25.	A rectangular piece is 20 m long and 15 m wide. From its four corners, quadrants of radii 3.5 m have been cut. Find the area of the remaining part.
Answer» A rectangular piece is 20 m long and 15 m wide. From its four corners, quadrants of radii 3.5 m have been cut. Find the area of the remaining part.

Discussion

26.	f(x+1)=x-1find f(x)
Answer» f(x+1)=x-1 find f(x)

Discussion

27.	If sin θ=45 and cos θ=35, then find tan θ.
Answer» $If s i n θ = \frac{4}{5} and c o s θ = \frac{3}{5}, then find t a n θ .$

Discussion

28.	Find the median for the distribution given below. Class200−300300−400400−500500−600600−700Number of students3520106
Answer» Find the median for the distribution given below. $\begin{matrix} C l a s s & 200 - 300 & 300 - 400 & 400 - 500 & 500 - 600 & 600 - 700 N u m b e r o f s t u d e n t s & 3 & 5 & 20 & 10 & 6 \end{matrix}$

28.

Find the median for the distribution given below. Class200−300300−400400−500500−600600−700Number of students3520106

Answer»

Find the median for the distribution given below.

$\begin{matrix} C l a s s & 200 - 300 & 300 - 400 & 400 - 500 & 500 - 600 & 600 - 700 N u m b e r o f s t u d e n t s & 3 & 5 & 20 & 10 & 6 \end{matrix}$

Discussion

29.	is work a state function in isobaric process? explain.
Answer» is work a state function in isobaric process? explain.

Discussion

30.	If the radius of the circle is R. Find the area of the circle.
Answer» If the radius of the circle is R. Find the area of the circle.

30.

If the radius of the circle is R. Find the area of the circle.

Answer»

If the radius of the circle is R. Find the area of the circle.

Discussion

31.	if a:b:c=1:m:n, where a,b,c are real numbers, and the expressions x2+2(a+b+c)x+3(bc+ca+ab) is a perfect square, then the value of m+n is __
Answer» if a:b:c=1:m:n, where a,b,c are real numbers, and the expressions $x^{2} + 2 (a + b + c) x + 3 (b c + c a + a b)$ is a perfect square, then the value of m+n is __

Discussion

32.	Alpha, beta, gama are the zeroes of the cubic polynomial x^3-6x^2+p(x-1) +5.If alpha, beta, gama are in A.P., then find the product of all the zeroes
Answer» Alpha, beta, gama are the zeroes of the cubic polynomial x^3-6x^2+p(x-1) +5.If alpha, beta, gama are in A.P., then find the product of all the zeroes

Discussion

33.	For what value of x will the points (x, – 1), (2, 1) and (4, 5) lie on a line?
Answer» For what value of x will the points (x, – 1), (2, 1) and (4, 5) lie on a line?

Discussion

34.	Question 4Area of the largest triangle that can be inscribed in a semi – circle of radius r units is:(A) r2 sq units(B) 12r2 sq units(C) 2r2 sq units(D) √2r2 sq units
Answer» Question 4 Area of the largest triangle that can be inscribed in a semi – circle of radius r units is: (A) $r^{2} s q u n i t s$ (B) $\frac{1}{2} r^{2} s q u n i t s$ (C) $2 r^{2} s q u n i t s$ (D) $\sqrt{2} r^{2} s q u n i t s$

Discussion

35.	Question 18 Find the coordinates of the point R on the line segment joining the points P(-1,3) and Q(2,5) such that PR=35PQ.
Answer» Question 18 Find the coordinates of the point R on the line segment joining the points P(-1,3) and Q(2,5) such that $P R = \frac{3}{5} P Q .$

Discussion

36.	The normal to the circle x2+y2+2x−10y+k = 0 which is perpendicular to x-3y+2=0 is
Answer» The normal to the circle $x^{2} + y^{2} + 2 x - 10 y + k$ = 0 which is perpendicular to x-3y+2=0 is

Discussion

37.	Question 4AB and AC are two equal chords of a circle. Prove that the bisector of the angle BAC passes through the centre of the circle.
Answer» Question 4 AB and AC are two equal chords of a circle. Prove that the bisector of the angle BAC passes through the centre of the circle.

Discussion

38.	If P = {x : x ϵ Z, -7 < x < 8} and Q = R then the set n(P x Q) is
Answer» If P = {x : x ϵ Z, -7 < x < 8} and Q = R then the set n(P x Q) is

Discussion

39.	Construct a triangle ABC with AB = 5 cm, AC = 6 cm and ∠BAC=100∘. Mark the point of intersection of the locus of points equidistant from BA and BC and the locus of points equidistant from B and C, as P. Then the length of PC is
Answer» Construct a triangle ABC with AB = 5 cm, AC = 6 cm and ∠BAC=100 $^{\circ}$ . Mark the point of intersection of the locus of points equidistant from BA and BC and the locus of points equidistant from B and C, as P. Then the length of PC is

Discussion

40.	In the given figure, PQ and PR are tangents drawn from P to a circle with centre O. If ∠OPQ = 35°, then (a) a= 30°, b= 60°(b) a= 35°, b = 55°(c) a= 40°, b = 50°(d) a= 45°, b = 45°
Answer» In the given figure, PQ and PR are tangents drawn from P to a circle with centre O. If ∠OPQ = 35°, then (a) a= 30°, b= 60° (b) a= 35°, b = 55° (c) a= 40°, b = 50° (d) a= 45°, b = 45°

Discussion

41.	If a pair of linear equations is consistent then their graph lines will be (a) parallel (b) always coincident (c) always intersecting (d) intersecting or coincident
Answer» If a pair of linear equations is consistent then their graph lines will be (a) parallel (b) always coincident (c) always intersecting (d) intersecting or coincident

41.

If a pair of linear equations is consistent then their graph lines will be (a) parallel (b) always coincident (c) always intersecting (d) intersecting or coincident

Answer»

If a pair of linear equations is consistent then their graph lines will be

(a) parallel (b) always coincident

(c) always intersecting (d) intersecting or coincident

Discussion

42.	Solve the following quadratic equations by factorization:ax2+4a2-3bx-12ab=0
Answer» Solve the following quadratic equations by factorization: $a x^{2} + (4 a^{2} - 3 b) x - 12 a b = 0$

Discussion

43.	The sum of two numbers is 80.The larger number exceeds four times the smaller one by 5.Find the numbers.
Answer» The sum of two numbers is 80.The larger number exceeds four times the smaller one by 5.Find the numbers.

Discussion

44.	If cosec39=X then value of 1/cosec^2 51 + sin^2 39 + tan^2 51 -1/sin^2 51*sec^2 39
Answer» If cosec39=X then value of 1/cosec^2 51 + sin^2 39 + tan^2 51 -1/sin^2 51*sec^2 39

Discussion

45.	Observe the given triangles and find the value of ∠P.
Answer» $Observe the given triangles and find the value of ∠ P .$

Discussion

46.	Question 7In the figure, if ∠DAB=60∘, ∠ABD=50∘ then ∠ABC is equal to(A) 60∘(B) 50∘(C) 70∘(D) 80∘
Answer» Question 7 In the figure, if $∠ D A B = 60^{\circ}, ∠ A B D = 50^{\circ}$ then $∠ A B C$ is equal to (A) $60^{\circ}$ (B) $50^{\circ}$ (C) $70^{\circ}$ (D) $80^{\circ}$

Discussion

47.	If the sum of first p term of an A.P. is ap2 + bp, find its common difference.
Answer» If the sum of first p term of an A.P. is ap² + bp, find its common difference.

Discussion

48.	The angle of depression from the top of a tower of a point A on the ground is 30°. On moving a distance of 20 metres from the point A towards the foot of the tower to a point B, the angle of elevation of the top of the tower from the point B is 60°. Find the height of the tower and its distance from the point A. [CBSE 2012]
Answer» The angle of depression from the top of a tower of a point A on the ground is 30°. On moving a distance of 20 metres from the point A towards the foot of the tower to a point B, the angle of elevation of the top of the tower from the point B is 60°. Find the height of the tower and its distance from the point A. [CBSE 2012]

Discussion

49.	Check whether the first polynomial is a factor of the second polynomial by dividing the second polynomial by the first polynomial:t2−3, 2t4+3t3−2t2−9t−12
Answer» Check whether the first polynomial is a factor of the second polynomial by dividing the second polynomial by the first polynomial: $t^{2} - 3, 2 t^{4} + 3 t^{3} - 2 t^{2} - 9 t - 12$

Discussion

50.

Solve the inequalities in exercieses 17 to 20 and show the graph of the solution in each case on number line. 3x-2 < 2x +1

Answer»

Solve the inequalities in exercieses 17 to 20 and show the graph of the solution in each case on number line.

3x-2 < 2x +1

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

Calculate the Mean of the given distribution, using Assumed mean Method.MarksNo. of Students10−20220−30630−401040−501250−60960−70870−80480−90348.89

If the lines ax + 2y + 1 = 0, bx + y + 1 = 0 and cx + 4y + 1 = 0 are concurrent, then a, b, c are in __________.

Draw the graph y=3x2−5x+2

Solve the following pairs of linear (simultaneous) equations using method of elimination by substitution: 2x−3y+6=0 2x+3y−18=0

A letter is chosen at random from the word "PROBABILITY". The probability that it is a vowel is

The sum of the digits of a two-digit number is 12.The number obtained by interchanging its digits exceeds the given number by 18.Find the number.

Consider the following distribution of daily wages of 50 workers of a factory. Daily wages (in Rs) 500­ − 520 520­ − 540 540 − 560 560 − 580 580 − 600 Number of workers 12 14 8 6 10 Find the mean daily wages of the workers of the factory by using an appropriate method.

32. The radius of the circle which touches x and y axes and the circle x²+y²-12x-12y+36=0 can be 1. 6(\sqrt{}2+1) 2. 6(\sqrt{}2-1) 3. 6(3+2\sqrt{}2) 4. (3-2\sqrt{}2)

Draw the graph based on the following table and identify the variation. Find the constant of proportionality. x24510y4020168

(i) Find the 37th term of the AP 6,734, 912, 1114,...(ii) Find the 25th term of the AP 5, 412, 4, 312, 3,...

Retrouvez les noms.Horizontalement Verticalement1. student (8) 1. cycle (4)2. bird (6) 2. bag (3)3. key (3) 3. train (5)

A SHOPKEEPER BUYS A NUMBER OF BOOKS FOR RS.1200.IF HE HAD BOUGHT 10 MORE BOOKS FOR THE SAME AMOUNT,EACH BOOK WOULD HAVE COST HIM RS.20 LESS..HOW MANY BOOKS DID HE BUY?

A card is drawn from a deck of 52 cards. The event E is that card is not an ace of hearts. The number of outcomes favourable to E is(a) 4(b) 13(c) 48(d) 51

Find the zeros of the quadratic polynomial (5y2 + 10y) and verify the relation between the zeros and the coefficients.

What is the rate per cent if Rs 1600 amounts to Rs 1900 in 2.5 years?

A train, travelling at a uniform speed for 360km, would have taken 48 minutes less to travel the same distance if its speed were 5km/h more. Find the original speed of the train.

sin1∘ × sin2∘ × sin3∘ ×……..× sin180∘ is equal to:

A. Find the A.P. in which (a) Tn = 2n + 1 (b) Tn = 4 − 5n (c) Sn = 5n2 + 3nB. (a) In an A.P. the fourth and seventh terms are 17 and 23 respectively, find ‘d’ and ‘a’.(b) In and A.P. T10 = 20 and T20 = 10 find T30(c) The fifth and tenth terms are in the ratio 1 : 2 and T12 = 36 find A.P.

In a certain code , QUASK is written as RSDOP . What would be RUDRA coded as ?

Height of a T.V. tower is 50 m. The area of the region covered by tower is?

By what number should (−15)−1 be divided so that the quotient may be equal to (−5)−1 ?

Question 12If 4tanθ=3, then (4sinθ−cosθ4sinθ+cosθ) is equal to(A) 23(B) 13(C) 12(D) 34

Given sec θ =, calculate all other trigonometric ratios.

ntIntegrate the the following with respect to xn nt1/(2-cos A cos x)n

A rectangular piece is 20 m long and 15 m wide. From its four corners, quadrants of radii 3.5 m have been cut. Find the area of the remaining part.

f(x+1)=x-1find f(x)

If sin θ=45 and cos θ=35, then find tan θ.

Find the median for the distribution given below. Class200−300300−400400−500500−600600−700Number of students3520106

is work a state function in isobaric process? explain.

If the radius of the circle is R. Find the area of the circle.

if a:b:c=1:m:n, where a,b,c are real numbers, and the expressions x2+2(a+b+c)x+3(bc+ca+ab) is a perfect square, then the value of m+n is __

Alpha, beta, gama are the zeroes of the cubic polynomial x^3-6x^2+p(x-1) +5.If alpha, beta, gama are in A.P., then find the product of all the zeroes

For what value of x will the points (x, – 1), (2, 1) and (4, 5) lie on a line?

Question 4Area of the largest triangle that can be inscribed in a semi – circle of radius r units is:(A) r2 sq units(B) 12r2 sq units(C) 2r2 sq units(D) √2r2 sq units

Question 18 Find the coordinates of the point R on the line segment joining the points P(-1,3) and Q(2,5) such that PR=35PQ.

The normal to the circle x2+y2+2x−10y+k = 0 which is perpendicular to x-3y+2=0 is

Question 4AB and AC are two equal chords of a circle. Prove that the bisector of the angle BAC passes through the centre of the circle.

If P = {x : x ϵ Z, -7 &lt; x &lt; 8} and Q = R then the set n(P x Q) is

Construct a triangle ABC with AB = 5 cm, AC = 6 cm and ∠BAC=100∘. Mark the point of intersection of the locus of points equidistant from BA and BC and the locus of points equidistant from B and C, as P. Then the length of PC is

In the given figure, PQ and PR are tangents drawn from P to a circle with centre O. If ∠OPQ = 35°, then (a) a= 30°, b= 60°(b) a= 35°, b = 55°(c) a= 40°, b = 50°(d) a= 45°, b = 45°

If a pair of linear equations is consistent then their graph lines will be (a) parallel (b) always coincident (c) always intersecting (d) intersecting or coincident

Solve the following quadratic equations by factorization:ax2+4a2-3bx-12ab=0

The sum of two numbers is 80.The larger number exceeds four times the smaller one by 5.Find the numbers.

If cosec39=X then value of 1/cosec^2 51 + sin^2 39 + tan^2 51 -1/sin^2 51*sec^2 39

Observe the given triangles and find the value of ∠P.

Question 7In the figure, if ∠DAB=60∘, ∠ABD=50∘ then ∠ABC is equal to(A) 60∘(B) 50∘(C) 70∘(D) 80∘

If the sum of first p term of an A.P. is ap2 + bp, find its common difference.

Check whether the first polynomial is a factor of the second polynomial by dividing the second polynomial by the first polynomial:t2−3, 2t4+3t3−2t2−9t−12

Solve the inequalities in exercieses 17 to 20 and show the graph of the solution in each case on number line. 3x-2 &lt; 2x +1

Consider the following distribution of daily wages of 50 workers of a factory. Daily wages (in Rs) 500 − 520 520 − 540 540 − 560 560 − 580 580 − 600 Number of workers 12 14 8 6 10 Find the mean daily wages of the workers of the factory by using an appropriate method.

If P = {x : x ϵ Z, -7 < x < 8} and Q = R then the set n(P x Q) is

Solve the inequalities in exercieses 17 to 20 and show the graph of the solution in each case on number line. 3x-2 < 2x +1