24740 + Interview Questions in Mathematics

1.	Set up an equation in the following case:The teacher tells the class that the highest marks obtained by a student in her class is twice the lowest marks plus 7. The highest score is 87. (Take the lowest score to be l. )
Answer» Set up an equation in the following case: The teacher tells the class that the highest marks obtained by a student in her class is twice the lowest marks plus 7. The highest score is 87. (Take the lowest score to be l. )

Discussion

2.	Construct a triangle whose perimeters 10.4 cm and the base angles are 45∘ and 120∘
Answer» $Construct a triangle whose perimeters 10.4 cm and the base angles are 45^{\circ} a n d 120^{\circ}$

Discussion

3.	Water is poured from a cylindrical container of length 10 m and radius 7 m into a cubical tank of side 10 m. Find the amount of water that will spill out of the cubical tank (in litres).
Answer» Water is poured from a cylindrical container of length 10 m and radius 7 m into a cubical tank of side 10 m. Find the amount of water that will spill out of the cubical tank (in litres).

Discussion

4.	Question 78 (ii)If a and b vary inversely to each other, then find the values of x,y,z
Answer» Question 78 (ii) If a and b vary inversely to each other, then find the values of x,y,z

4.

Question 78 (ii)If a and b vary inversely to each other, then find the values of x,y,z

Answer»

Question 78 (ii)

If a and b vary inversely to each other, then find the values of x,y,z

Discussion

5.	Question 12 (iii)ABCD is a trapezium in which AB \| \| CD and AD =BC (see the given figure). Show that ΔABC≅ΔBAD.
Answer» Question 12 (iii) ABCD is a trapezium in which AB \| \| CD and AD =BC (see the given figure). Show that $Δ A B C ≅ Δ B A D$ .

Discussion

6.	In a △ABC, if ∠A − ∠B = 33° and ∠B − ∠C = 18°, then ∠B =(a) 35°(b) 45°(c) 55°(d) 25°
Answer» In a △ABC, if ∠A − ∠B = 33° and ∠B − ∠C = 18°, then ∠B = (a) 35° (b) 45° (c) 55° (d) 25°

Discussion

7.	A rectangular sheet of paper, 44 cm × 20 cm, is rolled along its length of form a cylinder. Find the volume of the cylinder so formed.
Answer» A rectangular sheet of paper, 44 cm × 20 cm, is rolled along its length of form a cylinder. Find the volume of the cylinder so formed.

Discussion

8.	Find a rational number between(i) 38 and 25(ii) 1.3 and 1.4(iii) -1 and 12(iv) -34 and-25(v) 19 and 29
Answer» Find a rational number between (i) $\frac{3}{8} and \frac{2}{5}$ (ii) 1.3 and 1.4 (iii) $- 1 and \frac{1}{2}$ (iv) $- \frac{3}{4} and - \frac{2}{5}$ (v) $\frac{1}{9} and \frac{2}{9}$

Discussion

9.	Find the volume of a cuboid whose breadth is half of its length and height is double the length.
Answer» Find the volume of a cuboid whose breadth is half of its length and height is double the length.

Discussion

10.	Given below is the frequency distribution table regarding the concentration of sulphur dioxide in the air in parts per million of a certain city for 30 days. Conc. of SO20.00−0.040.04−0.080.08−0.120.12−0.160.16−0.200.20−0.24No. of days489243 Find the probability of conentration of sulphur dioxide in the interval 0.12-0.16 on any of these days.
Answer» Given below is the frequency distribution table regarding the concentration of sulphur dioxide in the air in parts per million of a certain city for 30 days. $\begin{matrix} Conc. of S O_{2} & 0.00 - 0.04 & 0.04 - 0.08 & 0.08 - 0.12 & 0.12 - 0.16 & 0.16 - 0.20 & 0.20 - 0.24 No. of days & 4 & 8 & 9 & 2 & 4 & 3 \end{matrix}$ Find the probability of conentration of sulphur dioxide in the interval 0.12-0.16 on any of these days.

10.

Given below is the frequency distribution table regarding the concentration of sulphur dioxide in the air in parts per million of a certain city for 30 days. Conc. of SO20.00−0.040.04−0.080.08−0.120.12−0.160.16−0.200.20−0.24No. of days489243 Find the probability of conentration of sulphur dioxide in the interval 0.12-0.16 on any of these days.

Answer»

Given below is the frequency distribution table regarding the concentration of sulphur dioxide in the air in parts per million of a certain city for 30 days.

$\begin{matrix} Conc. of S O_{2} & 0.00 - 0.04 & 0.04 - 0.08 & 0.08 - 0.12 & 0.12 - 0.16 & 0.16 - 0.20 & 0.20 - 0.24 No. of days & 4 & 8 & 9 & 2 & 4 & 3 \end{matrix}$

Find the probability of conentration of sulphur dioxide in the interval 0.12-0.16 on any of these days.

Discussion

11.	Question 6 (ii) Given the linear equation 2x + 3y - 8 = 0, write another linear equation in two variables such that the geometrical representation of the pair so formed is: (ii) Parallel lines
Answer» Question 6 (ii) Given the linear equation 2x + 3y - 8 = 0, write another linear equation in two variables such that the geometrical representation of the pair so formed is: (ii) Parallel lines

Discussion

12.	Find the equation of the plane passing through the line of intersection of the planesr.(iˆ + ˆj + kˆ) =1 and r.(2iˆ + 3 ˆj − kˆ) + 4 = 0 and parallel to x-axis.
Answer» Find the equation of the plane passing through the line of intersection of the planes r.(iˆ + ˆj + kˆ) =1 and r.(2iˆ + 3 ˆj − kˆ) + 4 = 0 and parallel to x-axis.

Discussion

13.	The cost of a room in a hotel is partially fixed and partially varying with the hours stayed. A person staying for 10 hours paid ₹ 600 and a person staying for 15 hours paid ₹ 840. Find the algebraic expression representing this situation.
Answer» The cost of a room in a hotel is partially fixed and partially varying with the hours stayed. A person staying for 10 hours paid ₹ 600 and a person staying for 15 hours paid ₹ 840. Find the algebraic expression representing this situation.

Discussion

14.	20. The areas of two similar triangles r 81cm square and 49 CM square respectively if the altitude of the biggest triangle is 4.5 cm find the corresponding altitude for the smallest Triangle
Answer» 20. The areas of two similar triangles r 81cm square and 49 CM square respectively if the altitude of the biggest triangle is 4.5 cm find the corresponding altitude for the smallest Triangle

Discussion

15.	10. A point A is at a distance of10 unit from the point (4,3). Find the co-ordinates of point A,if its ordinate is twice its abscissa.
Answer» 10. A point A is at a distance of10 unit from the point (4,3). Find the co-ordinates of point A,if its ordinate is twice its abscissa.

Discussion

16.	It is given that triangle ABC is congruent with triangle FDE and AB is equal to 5 angle, B is equal to 40 degree and Angle A is equal to 80° then which of the following is true (1) DF=5 , angle F=60 (2) DF=5 , angle E= 60 (3)DF=5 , angle E= 120 (4)DF=5 , angle D= 40
Answer» It is given that triangle ABC is congruent with triangle FDE and AB is equal to 5 angle, B is equal to 40 degree and Angle A is equal to 80° then which of the following is true (1) DF=5 , angle F=60 (2) DF=5 , angle E= 60 (3)DF=5 , angle E= 120 (4)DF=5 , angle D= 40

16.

It is given that triangle ABC is congruent with triangle FDE and AB is equal to 5 angle, B is equal to 40 degree and Angle A is equal to 80° then which of the following is true (1) DF=5 , angle F=60 (2) DF=5 , angle E= 60 (3)DF=5 , angle E= 120 (4)DF=5 , angle D= 40

Answer»

It is given that triangle ABC is congruent with triangle FDE and AB is equal to 5 angle, B is equal to 40 degree and Angle A is equal to 80° then which of the following is true

(1) DF=5 , angle F=60

(2) DF=5 , angle E= 60

(3)DF=5 , angle E= 120

(4)DF=5 , angle D= 40

Discussion

17.	In the given figure PQ \|\| BC, ∠4 = ∠5 and QB bisects ∠PQC. Find ∠1.60
Answer» In the given figure PQ \|\| BC, $∠ 4 = ∠ 5$ and QB bisects $∠ P Q C$ . Find $∠ 1$ . 60

Discussion

18.	Question 12 A villager Itwaari has a plot of land of the shape of a quadrilateral. The Gram Panchayat of the village decided to take over some portion of his plot from one of the corners to construct a Health Centre. Itwaari agrees to the above proposal with the condition that he should be given the equal amount of land in lieu of his land adjoining his plot so as to form a triangular plot. Explain how this proposal will be implemented.
Answer» Question 12 A villager Itwaari has a plot of land of the shape of a quadrilateral. The Gram Panchayat of the village decided to take over some portion of his plot from one of the corners to construct a Health Centre. Itwaari agrees to the above proposal with the condition that he should be given the equal amount of land in lieu of his land adjoining his plot so as to form a triangular plot. Explain how this proposal will be implemented.

Discussion

19.	AB is the diameter of the circle with centre O. P is a point on the circle such that PA = 2PB. If AB = d, find BP.
Answer» AB is the diameter of the circle with centre O. P is a point on the circle such that PA = 2PB. If AB = d, find BP.

19.

AB is the diameter of the circle with centre O. P is a point on the circle such that PA = 2PB. If AB = d, find BP.

Answer»

AB is the diameter of the circle with centre O. P is a point on the circle such that PA = 2PB. If AB = d, find BP.

Discussion

20.	Diameter of a circle is 26 cm and length of a chord of the circle is 24 cm. Find the distance of the chord from the centre.
Answer» Diameter of a circle is 26 cm and length of a chord of the circle is 24 cm. Find the distance of the chord from the centre.

Discussion

21.	Mac has three daughters. He gives 4x, 6y,and 9z marbles to his three daughters. The daughters observe that the number of the marbles with each one of them is the same. What is the relation between x,y,and z?
Answer» Mac has three daughters. He gives 4x, 6y,and 9z marbles to his three daughters. The daughters observe that the number of the marbles with each one of them is the same. What is the relation between x,y,and z?

21.

Mac has three daughters. He gives 4x, 6y,and 9z marbles to his three daughters. The daughters observe that the number of the marbles with each one of them is the same. What is the relation between x,y,and z?

Answer»

Mac has three daughters. He gives 4x, 6y,and 9z marbles to his three daughters. The daughters observe that the number of the marbles with each one of them is the same.

What is the relation between x,y,and z?

Discussion

22.	If the system of equations x+y=1,(c+2)x+(c+4)y=6,(c+2)2x+(c+4)2y=36are consistent, then the value of c can be
Answer» If the system of equations $x + y = 1, (c + 2) x + (c + 4) y = 6, (c + 2)^{2} x + (c + 4)^{2} y = 36$ are consistent, then the value of $c$ can be

Discussion

23.	In the figure, ray OS stand on a line POQ. Ray OR and ray OT are angle bisectors of ∠POS and ∠SOQ respectively. If ∠POS=x, find ∠ROT
Answer» In the figure, ray OS stand on a line POQ. Ray OR and ray OT are angle bisectors of $∠ P O S$ and $∠ S O Q$ respectively. If $∠ P O S = x$ , find $∠ R O T$

23.

In the figure, ray OS stand on a line POQ. Ray OR and ray OT are angle bisectors of ∠POS and ∠SOQ respectively. If ∠POS=x, find ∠ROT

Answer»

In the figure, ray OS stand on a line POQ. Ray OR and ray OT are angle bisectors of $∠ P O S$ and $∠ S O Q$ respectively. If $∠ P O S = x$ , find $∠ R O T$

Discussion

24.	In the figure, △ABC is an isosceles triangle in which AB = AC. If D and E are the mid-points of sides AB and AC respectively and ∠DOE=120∘, then find ∠ODE.
Answer» In the figure, $△ A B C$ is an isosceles triangle in which AB = AC. If D and E are the mid-points of sides AB and AC respectively and $∠ D O E = 120^{\circ}$ , then find $∠ O D E$ .

24.

In the figure, △ABC is an isosceles triangle in which AB = AC. If D and E are the mid-points of sides AB and AC respectively and ∠DOE=120∘, then find ∠ODE.

Answer»

In the figure, $△ A B C$ is an isosceles triangle in which AB = AC. If D and E are the mid-points of sides AB and AC respectively and $∠ D O E = 120^{\circ}$ , then find $∠ O D E$ .

Discussion

25.	If E,F,G and H are the mid-points of the area of a parallelogram ABCD, show that are(EFGH)=1/2 ar(ABCD).
Answer» If E,F,G and H are the mid-points of the area of a parallelogram ABCD, show that are(EFGH)=1/2 ar(ABCD).

Discussion

26.	Find the number of terms in the G.P 6,12, 24 ... 1536.
Answer» Find the number of terms in the G.P 6,12, 24 ... 1536.

Discussion

27.	Numbers that can be expressed as a ratio of p and q where p and q are integers and q≠0 are called __numbers.
Answer» Numbers that can be expressed as a ratio of p and q where p and q are integers and $q \neq 0$ are called __numbers.

Discussion

28.	Find the zero of the polynomial in each of the following cases:(i) p(x) = x + 5 (ii) p(x) = x − 5 (iii) p(x) = 2x + 5(iv) p(x) = 3x − 2 (v) p(x) = 3x (vi) p(x) = ax, a ≠ 0(vii) p(x) = cx + d, c ≠ 0, c, are real numbers.
Answer» Find the zero of the polynomial in each of the following cases: (i) p(x) = x + 5 (ii) p(x) = x − 5 (iii) p(x) = 2x + 5 (iv) p(x) = 3x − 2 (v) p(x) = 3x (vi) p(x) = ax, a ≠ 0 (vii) p(x) = cx + d, c ≠ 0, c, are real numbers.

28.

Find the zero of the polynomial in each of the following cases:(i) p(x) = x + 5 (ii) p(x) = x − 5 (iii) p(x) = 2x + 5(iv) p(x) = 3x − 2 (v) p(x) = 3x (vi) p(x) = ax, a ≠ 0(vii) p(x) = cx + d, c ≠ 0, c, are real numbers.

Answer»

Find the zero of the polynomial in each of the following cases:

(i) p(x) = x + 5 (ii) p(x) = x − 5 (iii) p(x) = 2x + 5

(iv) p(x) = 3x − 2 (v) p(x) = 3x (vi) p(x) = ax, a ≠ 0

(vii) p(x) = cx + d, c ≠ 0, c, are real numbers.

Discussion

29.	If the radius of a circle is 7√π cm, then find the area of the circle (in square cm).
Answer» If the radius of a circle is $\frac{7}{\sqrt{π}}$ cm, then find the area of the circle (in square cm).

Discussion

30.	Which of the following is not an integer?
Answer» Which of the following is not an integer?

Discussion

31.	Write down all possible subsets of each of the following sets :(i) {a} (ii) {0, 1}(iii) {a, b, c}
Answer» Write down all possible subsets of each of the following sets : (i) {a} (ii) {0, 1} (iii) {a, b, c}

31.

Write down all possible subsets of each of the following sets :(i) {a} (ii) {0, 1}(iii) {a, b, c}

Answer»

Write down all possible subsets of each of the following sets :

(i) {a} (ii) {0, 1}

(iii) {a, b, c}

Discussion

32.	Write the turth value (T/F) of each of the following statements:(i) Two lines intersect in a point.(ii) Two lines may intersect in two points.(iii) A segment has no length.(iv) Two distinct points always determine a line.(v) Every ray has a finite length.(vi) A ray has one end-point only.(vii) A segment has one end-point only.(viii) The ray AB is same as ray BA.(ix) Only a single line may pass through a given point.(x) Two lines are coincident if they have only one point in common.
Answer» Write the turth value (T/F) of each of the following statements: (i) Two lines intersect in a point. (ii) Two lines may intersect in two points. (iii) A segment has no length. (iv) Two distinct points always determine a line. (v) Every ray has a finite length. (vi) A ray has one end-point only. (vii) A segment has one end-point only. (viii) The ray AB is same as ray BA. (ix) Only a single line may pass through a given point. (x) Two lines are coincident if they have only one point in common.

Discussion

33.	The heights (in cm) of 30 students of class IX are given below:155, 158, 154, 158, 160, 148, 149, 150, 153, 159, 161, 148, 157, 153, 157, 162, 159, 151, 154, 156, 152, 156, 160, 152, 147, 155, 163, 155, 157, 153Prepare a frequency distribution table with 160-164 as one of the class intervals.
Answer» The heights (in cm) of 30 students of class IX are given below: 155, 158, 154, 158, 160, 148, 149, 150, 153, 159, 161, 148, 157, 153, 157, 162, 159, 151, 154, 156, 152, 156, 160, 152, 147, 155, 163, 155, 157, 153 Prepare a frequency distribution table with 160-164 as one of the class intervals.

Discussion

34.	416−313 =_____
Answer» $4 \frac{1}{6} - 3 \frac{1}{3}$ =_____

Discussion

35.	Find the area of base and radius of a cylinder if its curved surface area is 660 sqcm and height is 21 cm.
Answer» Find the area of base and radius of a cylinder if its curved surface area is 660 sqcm and height is 21 cm.

Discussion

36.	In the given figure, side BC of ∆ABC has been produced to a point D. If ∠A = 3y°, ∠B = x°, ∠C = 5y° and ∠CBD = 7y°. Then, the value of x is(a) 60(b) 50(c) 45(d) 35
Answer» In the given figure, side BC of ∆ABC has been produced to a point D. If ∠A = 3y°, ∠B = x°, ∠C = 5y° and ∠CBD = 7y°. Then, the value of x is (a) 60 (b) 50 (c) 45 (d) 35

Discussion

37.	If the point (5,4) lies on the graph of the equation 7y = ax + 8, find the value of a.
Answer» If the point (5,4) lies on the graph of the equation 7y = ax + 8, find the value of a.

Discussion

38.	AB is a line - segment. P and Q are points on either side of AB such that each of them is equidistant from the points A and B. Show that the line PQ is the perpendicular bisector of AB.
Answer» AB is a line - segment. P and Q are points on either side of AB such that each of them is equidistant from the points A and B. Show that the line PQ is the perpendicular bisector of AB.

Discussion

39.	In the given figure, ∠RST = 56° , seg PT ⊥ray ST, seg PR ⊥ ray SR and seg PR≅ seg PT Find the measure of ∠RSP. State the reason for your answer.
Answer» In the given figure, $∠$ RST = 56^° , seg PT $⊥$ ray ST, seg PR $⊥$ ray SR and seg PR $≅$ seg PT Find the measure of $∠$ RSP. State the reason for your answer.

Discussion

40.	In the figure, AB\|\|CD \|\| EF and GH \|\| KL. The measure of ∠ HKL is
Answer» In the figure, AB\|\|CD \|\| EF and GH \|\| KL. The measure of $∠$ HKL is

40.

In the figure, AB||CD || EF and GH || KL. The measure of ∠ HKL is

Answer»

In the figure, AB||CD || EF and GH || KL. The measure of $∠$ HKL is

Discussion

41.

How are the following dealt with while preparing the final accounts for the year ended 31st March, 2019? RECEIPTS AND PAYMENTS ACCOUNT (AN EXTRACT) for the year ended 31st March, 2019 Dr. Cr. Receipts ₹ Payments ₹ By Payments for Medicines 1,50,000 Additional information : As at 1st April, 2018 (₹) As at 31st March, 2019 (₹) Stock of Medicines 50,000 75,000 Creditors for Medicines 40,000 60,000

Answer» How are the following dealt with while preparing the final accounts for the year ended 31st March, 2019?

RECEIPTS AND PAYMENTS ACCOUNT (AN EXTRACT) for the year ended 31st March, 2019
Dr.			Cr.
Receipts	₹	Payments	₹
		By Payments for Medicines	1,50,000

Additional information :

	As at 1st April, 2018 (₹)	As at 31st March, 2019 (₹)
Stock of Medicines	50,000	75,000
Creditors for Medicines	40,000	60,000

Discussion

42.

Krishan started his business on 1st April, 2018 with a Capital of ₹ 1,00,000. On 31st March, 2019, his assets were: ₹ Cash 3,200 Stock 34,800 Debtors 31,000 Plant 85,000 He owed ₹ 12,000 to sundry creditors and ₹ 10,000 to his brother on that date. He withdrew ₹ 2,000 per month for his personal expenses. Ascertain his profit.

Answer» Krishan started his business on 1st April, 2018 with a Capital of ₹ 1,00,000. On 31st March, 2019, his assets were:

	₹
Cash	3,200
Stock	34,800
Debtors	31,000
Plant	85,000

He owed ₹ 12,000 to sundry creditors and ₹ 10,000 to his brother on that date. He withdrew ₹ 2,000 per month for his personal expenses. Ascertain his profit.

Discussion

43.	If x = 2α + 1 and y = α − 1 is a solution of the equation 2x − 3y + 5 = 0, find the value of α.
Answer» If x = 2α + 1 and y = α − 1 is a solution of the equation 2x − 3y + 5 = 0, find the value of α.

Discussion

44.	By which property are ΔQST and ΔQUT congruent to each other?
Answer» By which property are $Δ Q S T$ and $Δ Q U T$ congruent to each other?

Discussion

45.	Represent the following numbers as integers with appropriate signs: Withdrawal of rupees seven hundred.
Answer» Represent the following numbers as integers with appropriate signs: Withdrawal of rupees seven hundred.

Discussion

46.	Expand the following:(i) (3a–2b)3(ii) (1x+y3)3
Answer» Expand the following: (i) $(3 a - 2 b)^{3}$ (ii) ${(\frac{1}{x} + \frac{y}{3})}^{3}$

Discussion

47.	The diagonal of a rectangle is thrice its smaller side. Find the ratio of its sides.
Answer» The diagonal of a rectangle is thrice its smaller side. Find the ratio of its sides.

Discussion

48.	which of the following is not eqAual to 1 in boolean algebra? 1.A +1 2.A + \overline A 3. \overline{A.\overline A} 4. A.\overline{
Answer» which of the following is not eqAual to 1 in boolean algebra? 1.A +1 2.A + \overline A 3. \overline{A.\overline A} 4. A.\overline{

Discussion

49.	In a quadrilateral ABCD, ∠A + ∠C is 2 times ∠B + ∠D. If ∠A = 140° and ∠D = 60°, then ∠B =(a) 60°(b) 80°(c) 120°(d) None of these
Answer» In a quadrilateral ABCD, ∠A + ∠C is 2 times ∠B + ∠D. If ∠A = 140° and ∠D = 60°, then ∠B = (a) 60° (b) 80° (c) 120° (d) None of these

Discussion

50.	a3-1a3 -2a+2a
Answer» $a^{3} - \frac{1}{a^{3}} - 2 a + \frac{2}{a}$

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

Set up an equation in the following case:The teacher tells the class that the highest marks obtained by a student in her class is twice the lowest marks plus 7. The highest score is 87. (Take the lowest score to be l. )

Construct a triangle whose perimeters 10.4 cm and the base angles are 45∘ and 120∘

Water is poured from a cylindrical container of length 10 m and radius 7 m into a cubical tank of side 10 m. Find the amount of water that will spill out of the cubical tank (in litres).

Question 78 (ii)If a and b vary inversely to each other, then find the values of x,y,z

Question 12 (iii)ABCD is a trapezium in which AB | | CD and AD =BC (see the given figure). Show that ΔABC≅ΔBAD.

In a △ABC, if ∠A − ∠B = 33° and ∠B − ∠C = 18°, then ∠B =(a) 35°(b) 45°(c) 55°(d) 25°

A rectangular sheet of paper, 44 cm × 20 cm, is rolled along its length of form a cylinder. Find the volume of the cylinder so formed.

Find a rational number between(i) 38 and 25(ii) 1.3 and 1.4(iii) -1 and 12(iv) -34 and-25(v) 19 and 29

Find the volume of a cuboid whose breadth is half of its length and height is double the length.

Question 6 (ii) Given the linear equation 2x + 3y - 8 = 0, write another linear equation in two variables such that the geometrical representation of the pair so formed is: (ii) Parallel lines

Find the equation of the plane passing through the line of intersection of the planesr.(iˆ + ˆj + kˆ) =1 and r.(2iˆ + 3 ˆj − kˆ) + 4 = 0 and parallel to x-axis.

The cost of a room in a hotel is partially fixed and partially varying with the hours stayed. A person staying for 10 hours paid ₹ 600 and a person staying for 15 hours paid ₹ 840. Find the algebraic expression representing this situation.

20. The areas of two similar triangles r 81cm square and 49 CM square respectively if the altitude of the biggest triangle is 4.5 cm find the corresponding altitude for the smallest Triangle

10. A point A is at a distance of10 unit from the point (4,3). Find the co-ordinates of point A,if its ordinate is twice its abscissa.

It is given that triangle ABC is congruent with triangle FDE and AB is equal to 5 angle, B is equal to 40 degree and Angle A is equal to 80° then which of the following is true (1) DF=5 , angle F=60 (2) DF=5 , angle E= 60 (3)DF=5 , angle E= 120 (4)DF=5 , angle D= 40

In the given figure PQ || BC, ∠4 = ∠5 and QB bisects ∠PQC. Find ∠1.60

AB is the diameter of the circle with centre O. P is a point on the circle such that PA = 2PB. If AB = d, find BP.

Diameter of a circle is 26 cm and length of a chord of the circle is 24 cm. Find the distance of the chord from the centre.

Mac has three daughters. He gives 4x, 6y,and 9z marbles to his three daughters. The daughters observe that the number of the marbles with each one of them is the same. What is the relation between x,y,and z?

If the system of equations x+y=1,(c+2)x+(c+4)y=6,(c+2)2x+(c+4)2y=36are consistent, then the value of c can be

In the figure, ray OS stand on a line POQ. Ray OR and ray OT are angle bisectors of ∠POS and ∠SOQ respectively. If ∠POS=x, find ∠ROT

In the figure, △ABC is an isosceles triangle in which AB = AC. If D and E are the mid-points of sides AB and AC respectively and ∠DOE=120∘, then find ∠ODE.

If E,F,G and H are the mid-points of the area of a parallelogram ABCD, show that are(EFGH)=1/2 ar(ABCD).

Find the number of terms in the G.P 6,12, 24 ... 1536.

Numbers that can be expressed as a ratio of p and q where p and q are integers and q≠0 are called __numbers.

Find the zero of the polynomial in each of the following cases:(i) p(x) = x + 5 (ii) p(x) = x − 5 (iii) p(x) = 2x + 5(iv) p(x) = 3x − 2 (v) p(x) = 3x (vi) p(x) = ax, a ≠ 0(vii) p(x) = cx + d, c ≠ 0, c, are real numbers.

If the radius of a circle is 7√π cm, then find the area of the circle (in square cm).

Which of the following is not an integer?

Write down all possible subsets of each of the following sets :(i) {a} (ii) {0, 1}(iii) {a, b, c}

The heights (in cm) of 30 students of class IX are given below:155, 158, 154, 158, 160, 148, 149, 150, 153, 159, 161, 148, 157, 153, 157, 162, 159, 151, 154, 156, 152, 156, 160, 152, 147, 155, 163, 155, 157, 153Prepare a frequency distribution table with 160-164 as one of the class intervals.

416−313 =_____

Find the area of base and radius of a cylinder if its curved surface area is 660 sqcm and height is 21 cm.

In the given figure, side BC of ∆ABC has been produced to a point D. If ∠A = 3y°, ∠B = x°, ∠C = 5y° and ∠CBD = 7y°. Then, the value of x is(a) 60(b) 50(c) 45(d) 35

If the point (5,4) lies on the graph of the equation 7y = ax + 8, find the value of a.

AB is a line - segment. P and Q are points on either side of AB such that each of them is equidistant from the points A and B. Show that the line PQ is the perpendicular bisector of AB.

In the given figure, ∠RST = 56° , seg PT ⊥ray ST, seg PR ⊥ ray SR and seg PR≅ seg PT Find the measure of ∠RSP. State the reason for your answer.

In the figure, AB||CD || EF and GH || KL. The measure of ∠ HKL is

If x = 2α + 1 and y = α − 1 is a solution of the equation 2x − 3y + 5 = 0, find the value of α.

By which property are ΔQST and ΔQUT congruent to each other?

Represent the following numbers as integers with appropriate signs: Withdrawal of rupees seven hundred.

Expand the following:(i) (3a–2b)3(ii) (1x+y3)3

The diagonal of a rectangle is thrice its smaller side. Find the ratio of its sides.

which of the following is not eqAual to 1 in boolean algebra? 1.A +1 2.A + \overline A 3. \overline{A.\overline A} 4. A.\overline{

In a quadrilateral ABCD, ∠A + ∠C is 2 times ∠B + ∠D. If ∠A = 140° and ∠D = 60°, then ∠B =(a) 60°(b) 80°(c) 120°(d) None of these

a3-1a3 -2a+2a