24740 + Interview Questions in Mathematics

1.	The ratio of curved surface area of two cylinders having the same height is 5:6. The ratio of their volumes will be equal to
Answer» The ratio of curved surface area of two cylinders having the same height is 5:6. The ratio of their volumes will be equal to

Discussion

2.	In the above figure, p = __ and q = ___.
Answer» In the above figure, $p$ = __ and $q$ = ___.

Discussion

3.	Question 2 (ii) Draw, wherever possible, a rough sketch of: ii) A triangle with only line symmetry and no rotational symmetry of order more than 1.
Answer» Question 2 (ii) Draw, wherever possible, a rough sketch of: ii) A triangle with only line symmetry and no rotational symmetry of order more than 1.

Discussion

4.	If the radius of a sphere is doubled, then the ratio of the volume of the original sphere to that of the new one is
Answer» If the radius of a sphere is doubled, then the ratio of the volume of the original sphere to that of the new one is

Discussion

5.	triangle ABC is right angled at C. A line through the midpoint M of hypotenuse AB and parallel to BC intersects Ac at D. Show that MD perpendicular to AC
Answer» triangle ABC is right angled at C. A line through the midpoint M of hypotenuse AB and parallel to BC intersects Ac at D. Show that MD perpendicular to AC

Discussion

6.	Calculate the diameter of height 7cm and diameter 7cm.What will be the change in the volume of the cylinder if the diameter is doubled and the height is halved?
Answer» Calculate the diameter of height 7cm and diameter 7cm.What will be the change in the volume of the cylinder if the diameter is doubled and the height is halved?

Discussion

7.	cot 53∘=
Answer» cot 53∘=

Discussion

8.	P, Q and R started a certain business and made a profit of Rs. 6800. The ratio of profit of P and Q is 1 : 3 while that of Q and R is 2 : 3. Calculate the profit earned by P.
Answer» P, Q and R started a certain business and made a profit of Rs. 6800. The ratio of profit of P and Q is 1 : 3 while that of Q and R is 2 : 3. Calculate the profit earned by P.

Discussion

9.	Which of the following statements is true?
Answer» Which of the following statements is true?

Discussion

10.	Question 1 Use suitable identities to find the following products: (i) (x + 4) (x + 10) (ii) (x+8) (x-10) (iii) (3x + 4) (3x-5) (iv) (y2+32)(y2−32) (c) (3-2x) (3+2x)
Answer» Question 1 Use suitable identities to find the following products: (i) (x + 4) (x + 10) (ii) (x+8) (x-10) (iii) (3x + 4) (3x-5) (iv) $(y^{2} + \frac{3}{2}) (y^{2} - \frac{3}{2})$ (c) (3-2x) (3+2x)

Discussion

11.	Question 117 State whether the answer is greater than 1 or less than 1 Put a 'V mark in appropriate box. QuestionGreater than 1Less than 123÷1223÷216+1415÷12413÷31223×812
Answer» Question 117 State whether the answer is greater than 1 or less than 1 Put a 'V mark in appropriate box. $\begin{matrix} Question & Greater than 1 & Less than 1 \frac{2}{3} \div \frac{1}{2} \frac{2}{3} \div \frac{2}{1} 6 + \frac{1}{4} \frac{1}{5} \div \frac{1}{2} 4 \frac{1}{3} \div 3 \frac{1}{2} \frac{2}{3} \times 8 \frac{1}{2} \end{matrix}$

11.

Question 117 State whether the answer is greater than 1 or less than 1 Put a 'V mark in appropriate box. QuestionGreater than 1Less than 123÷1223÷216+1415÷12413÷31223×812

Answer»

Question 117

State whether the answer is greater than 1 or less than 1 Put a 'V mark in appropriate box.
$\begin{matrix} Question & Greater than 1 & Less than 1 \frac{2}{3} \div \frac{1}{2} \frac{2}{3} \div \frac{2}{1} 6 + \frac{1}{4} \frac{1}{5} \div \frac{1}{2} 4 \frac{1}{3} \div 3 \frac{1}{2} \frac{2}{3} \times 8 \frac{1}{2} \end{matrix}$

Discussion

12.	The height of the building is 200\sqrt{3}ft, What is the angle of elevation from a point on the level ground 100ft away from the base of the building?
Answer» The height of the building is 200\sqrt{3}ft, What is the angle of elevation from a point on the level ground 100ft away from the base of the building?

Discussion

13.	In an isosceles triangle ABC with AB=AC, D and E are points on BC such that BE=CD. The value of ADAE is equal to
Answer» In an isosceles triangle $A B C$ with $A B = A C, D$ and $E$ are points on $B C$ such that $B E = C D .$ The value of $\frac{A D}{A E}$ is equal to

13.

In an isosceles triangle ABC with AB=AC, D and E are points on BC such that BE=CD. The value of ADAE is equal to

Answer»

In an isosceles triangle $A B C$ with $A B = A C, D$ and $E$ are points on $B C$ such that $B E = C D .$ The value of $\frac{A D}{A E}$ is equal to

Discussion

14.	A field is in the shape of a trapezium whose parallel sides are 25m and 10m. The non- parallel sides are 14m and 13m. Find the area of the field.
Answer» A field is in the shape of a trapezium whose parallel sides are 25m and 10m. The non- parallel sides are 14m and 13m. Find the area of the field.

Discussion

15.	In the given circle, with AB as diameter, find the value of 'x'.
Answer» In the given circle, with AB as diameter, find the value of 'x'.

15.

In the given circle, with AB as diameter, find the value of 'x'.

Answer»

In the given circle, with AB as diameter, find the value of 'x'.

Discussion

16.	Find the value of X (27)x = 9 upon 3 where 3 is raised to X
Answer» Find the value of X (27)^x= 9 upon 3 where 3 is raised to X

16.

Find the value of X (27)x = 9 upon 3 where 3 is raised to X

Answer»

Find the value of X

(27)^x= 9 upon 3 where 3 is raised to X

Discussion

17.	If mean of x, x +2, x + 4, x + 6 and x + 8 is 11, find the mean of first three observations.
Answer» If mean of x, x +2, x + 4, x + 6 and x + 8 is 11, find the mean of first three observations.

Discussion

18.	a2 + b2 + c2 - ab - bc - ca equals:
Answer» a² + b² + c² - ab - bc - ca equals:

Discussion

19.	If two angles of a quadrilateral are 36∘ and 72∘ and other two angles are in the ratio 3:4, then the measure of these angles are
Answer» If two angles of a quadrilateral are $36^{\circ}$ and $72^{\circ}$ and other two angles are in the ratio 3:4, then the measure of these angles are

Discussion

20.	The sum of first 16 odd numbers is ___.
Answer» The sum of first 16 odd numbers is ___.

Discussion

21.	Which of the following is the graph representing 2x - y = 10?
Answer» Which of the following is the graph representing 2x - y = 10?

Discussion

22.	Match the object in Column A to formulae in Column B. Choose the Option with correct matches. AB1. Surface area of cone1. 4πr22. Surface area of sphere2. 2πrh3. curved surface area of cylinder3. πrL
Answer» Match the object in Column A to formulae in Column B. Choose the Option with correct matches. $\begin{matrix} A & B 1. S u r f a c e a r e a o f c o n e & 1. 4 π r^{2} 2. S u r f a c e a r e a o f s p h e r e & 2. 2 π r h 3. c u r v e d s u r f a c e a r e a o f c y l i n d e r & 3. π r L \end{matrix}$

22.

Match the object in Column A to formulae in Column B. Choose the Option with correct matches. AB1. Surface area of cone1. 4πr22. Surface area of sphere2. 2πrh3. curved surface area of cylinder3. πrL

Answer»

Match the object in Column A to formulae in Column B. Choose the Option with correct matches.

$\begin{matrix} A & B 1. S u r f a c e a r e a o f c o n e & 1. 4 π r^{2} 2. S u r f a c e a r e a o f s p h e r e & 2. 2 π r h 3. c u r v e d s u r f a c e a r e a o f c y l i n d e r & 3. π r L \end{matrix}$

Discussion

23.	If x and y are positive real numbers, then which of the following is correct?
Answer» If x and y are positive real numbers, then which of the following is correct?

Discussion

24.	In the given figure, ABCD is a parallelogram and PD is parallel to QC. S1 : △APD≅△BQC S2 : ar(△APD)+ ar(PBCD)= ar(△BQC)+ ar(CDPB)
Answer» In the given figure, $A B C D$ is a parallelogram and $P D$ is parallel to $Q C .$ S1 : $△ A P D ≅ △ B Q C$ S2 : ar( $△ A P D) +$ ar( $P B C D) =$ ar( $△ B Q C) +$ ar $(C D P B)$

24.

In the given figure, ABCD is a parallelogram and PD is parallel to QC. S1 : △APD≅△BQC S2 : ar(△APD)+ ar(PBCD)= ar(△BQC)+ ar(CDPB)

Answer»

In the given figure, $A B C D$ is a parallelogram and $P D$ is parallel to $Q C .$

S1 : $△ A P D ≅ △ B Q C$

S2 : ar( $△ A P D) +$ ar( $P B C D) =$ ar( $△ B Q C) +$ ar $(C D P B)$

Discussion

25.	Which expression matches the statement "Subtract the sum of 5x and 3x from 12y”?
Answer» Which expression matches the statement "Subtract the sum of $5 x$ and $3 x$ from $12 y$ ”?

Discussion

26.	If Rajat said he will include zero with all the natural numbers, then he will get ____.
Answer» If Rajat said he will include zero with all the natural numbers, then he will get ____.

Discussion

27.	Find the value of the polynomial 5x−4x2+3 at (i) x=0 (ii) x=−1 (iii) x=2
Answer» Find the value of the polynomial 5x−4 $x^{2}$ +3 at (i) x=0 (ii) x=−1 (iii) x=2

Discussion

28.	A solid cylinder of diameter 14 cm and height 20 cm is placed inside a box of dimension 20 cm ×20 cm × 20 cm. How much water can be filled in the box after placing the cylinder in the box?
Answer» A solid cylinder of diameter 14 cm and height 20 cm is placed inside a box of dimension 20 cm $\times$ 20 cm $\times$ 20 cm. How much water can be filled in the box after placing the cylinder in the box?

Discussion

29.	A contractor plans to install two slides for the children to play in a park. For the children below the age of 5 years, she prefers to have a slide whose top is at a height of √3m and is inclined at an angle of 60∘ to the ground. What should be the length of the slide?
Answer» A contractor plans to install two slides for the children to play in a park. For the children below the age of 5 years, she prefers to have a slide whose top is at a height of √3m and is inclined at an angle of $60^{\circ}$ to the ground. What should be the length of the slide?

Discussion

30.	Ram purchased 1.5 kgs of tomato for 35 rupees. If 5.6 kg of tomato is required to prepare 5 kg tomato pickle. What is the cost of 1 kg tomato pickle, given that only tomatoes are used for the preparation of the pickle? [4 MARKS]
Answer» Ram purchased 1.5 kgs of tomato for 35 rupees. If 5.6 kg of tomato is required to prepare 5 kg tomato pickle. What is the cost of 1 kg tomato pickle, given that only tomatoes are used for the preparation of the pickle? [4 MARKS]

Discussion

31.	Question 33 The perimeter of a circle and its diameter vary___with each other.
Answer» Question 33 The perimeter of a circle and its diameter vary___with each other.

31.

Question 33 The perimeter of a circle and its diameter vary___with each other.

Answer»

Question 33

The perimeter of a circle and its diameter vary___with each other.

Discussion

32.	Ali was asked to construct a square ABCD for which, the diagonal AC alone is given. He was given a compass and a straight edge (a ruler with NO markings). P is said to be the point of intersection of the diagonals of the square. Which of the following will be Ali's second step of construction?
Answer» Ali was asked to construct a square ABCD for which, the diagonal AC alone is given. He was given a compass and a straight edge (a ruler with NO markings). P is said to be the point of intersection of the diagonals of the square. Which of the following will be Ali's second step of construction?

Discussion

33.	If →a,→b,→c are vectors such that →a.→b=0 and →a+→b=→c, then
Answer» If $\to a, \to b, \to c$ are vectors such that $\to a . \to b = 0$ and $\to a + \to b = \to c$ , then

Discussion

34.	If 2 is a zero of the polynomial of p(z)=7z−a and (a+2) is a zero of another polynomial q(x)=ax2+bx+c,which of the following is true?
Answer» $If 2 is a zero of the polynomial of p (z) = 7 z - a and (a + 2) is a zero of another polynomial q (x) = a x^{2} + b x + c, which of the following is true?$

Discussion

35.	Question 24 45 of 45 is ___.
Answer» Question 24 $\frac{4}{5}$ of 45 is ___.

35.

Question 24 45 of 45 is ___.

Answer»

Question 24

$\frac{4}{5}$ of 45 is ___.

Discussion

36.	Use the following information to answer the next question. The given figure shows an isosceles ΔABC with AB = BC. Sides BC and AC are extended to D and E respectively, such that CD and CE along with DE form sides of ΔCDE. How can ΔCDE be classified?
Answer» Use the following information to answer the next question. The given figure shows an isosceles ΔABC with AB = BC. Sides BC and AC are extended to D and E respectively, such that CD and CE along with DE form sides of ΔCDE. How can ΔCDE be classified?

36.

Use the following information to answer the next question. The given figure shows an isosceles ΔABC with AB = BC. Sides BC and AC are extended to D and E respectively, such that CD and CE along with DE form sides of ΔCDE. How can ΔCDE be classified?

Answer»

Use the following information to answer the next question.

The given figure shows an isosceles ΔABC with AB = BC. Sides BC and AC are extended to D and E respectively, such that CD and CE along with DE form sides of ΔCDE.

How can ΔCDE be classified?

Discussion

37.	The mean of 50 ,20 and 20 is ___________
Answer» The mean of 50 ,20 and 20 is ___________

Discussion

38.	A point E is taken on the side BC of a parallelogram ABCD. AE and DC are produced to meet at F. Then,
Answer» A point E is taken on the side BC of a parallelogram ABCD. AE and DC are produced to meet at F. Then,

Discussion

39.	In which quadrant will the point, (-3,-1) lie in the cartesian plane?
Answer» In which quadrant will the point, (-3,-1) lie in the cartesian plane?

Discussion

40.	To fill a 4 m wide, 8 m long and 3 m deep sand box, how much sand do you need?
Answer» To fill a 4 m wide, 8 m long and 3 m deep sand box, how much sand do you need?

Discussion

41.

The number of students who have played various sports is shown in the table below. Sport Cricket Tennis Chess Football No. of Students 5 10 20 15 Which of the following is the right bar graph to represent the data above?

Answer»

The number of students who have played various sports is shown in the table below.

Sport	Cricket	Tennis	Chess	Football
No. of Students	5	10	20	15

Which of the following is the right bar graph to represent the data above?

Discussion

42.	How will you prove that the construction for a triangle with the given conditions is right? Given conditions: Base length BC is given, base angle B is given, and difference of the other two sides is given (AB-AC) where AB is greater than AC. For going about the construction, I drew the base length BC, drew the ray BX with angle XBC known to me. Taking B as centre and radius equal to (AB-AC) I cut an arc on the ray BX intersecting it at point D. I then joined D to C. Then drew the perpendicular bisector of the line segment DC and named the point of intersection of this perpendicular bisector and the ray BX as A. Joined A to C and the triangle ABC was ready Which of the following statements gives the best explanation to this construction?
Answer» How will you prove that the construction for a triangle with the given conditions is right? Given conditions: Base length BC is given, base angle B is given, and difference of the other two sides is given (AB-AC) where AB is greater than AC. For going about the construction, I drew the base length BC, drew the ray BX with angle XBC known to me. Taking B as centre and radius equal to (AB-AC) I cut an arc on the ray BX intersecting it at point D. I then joined D to C. Then drew the perpendicular bisector of the line segment DC and named the point of intersection of this perpendicular bisector and the ray BX as A. Joined A to C and the triangle ABC was ready Which of the following statements gives the best explanation to this construction?

42.

How will you prove that the construction for a triangle with the given conditions is right? Given conditions: Base length BC is given, base angle B is given, and difference of the other two sides is given (AB-AC) where AB is greater than AC. For going about the construction, I drew the base length BC, drew the ray BX with angle XBC known to me. Taking B as centre and radius equal to (AB-AC) I cut an arc on the ray BX intersecting it at point D. I then joined D to C. Then drew the perpendicular bisector of the line segment DC and named the point of intersection of this perpendicular bisector and the ray BX as A. Joined A to C and the triangle ABC was ready Which of the following statements gives the best explanation to this construction?

Answer»

How will you prove that the construction for a triangle with the given conditions is right?

Given conditions: Base length BC is given, base angle B is given, and difference of the other two sides is given (AB-AC) where AB is greater than AC. For going about the construction, I drew the base length BC, drew the ray BX with angle XBC known to me. Taking B as centre and radius equal to (AB-AC) I cut an arc on the ray BX intersecting it at point D. I then joined D to C. Then drew the perpendicular bisector of the line segment DC and named the point of intersection of this perpendicular bisector and the ray BX as A. Joined A to C and the triangle ABC was ready

Which of the following statements gives the best explanation to this construction?

Discussion

43.	The following are the heights in centimetres of the students in class X. 162, 155, 166, 173, 170, 161, 166, 151, 167, 176, 178, 175, 163, 165, 170, 152, 172, 166, 176, 159, 157, 158, 148, 174, 152, 162, 171, 178, 157, 145, 148. The given data has been grouped into class intervals in the given frequency distribution table. Fill in the table with the missing frequencies. Class intervalFrequency(fi)145−1503150−1553155−160p=−−−−160−165q=−−−−165−170r=−−−−170−175s=−−−−175−1805
Answer» The following are the heights in centimetres of the students in class X. 162, 155, 166, 173, 170, 161, 166, 151, 167, 176, 178, 175, 163, 165, 170, 152, 172, 166, 176, 159, 157, 158, 148, 174, 152, 162, 171, 178, 157, 145, 148. The given data has been grouped into class intervals in the given frequency distribution table. Fill in the table with the missing frequencies. $\begin{matrix} Class interval & Frequency (f_{i}) 145 - 150 & 3 150 - 155 & 3 155 - 160 & p = - - - - 160 - 165 & q = - - - - 165 - 170 & r = - - - - 170 - 175 & s = - - - - 175 - 180 & 5 \end{matrix}$

Discussion

44.	Why 0! (zero factorial) is 1(one)
Answer» Why 0! (zero factorial) is 1(one)

Discussion

45.	If x2+1x2=79, find the value of x+1x.
Answer» If $x^{2} + \frac{1}{x^{2}} = 79$ , find the value of $x + \frac{1}{x}$ .

Discussion

46.	On a certain by, the temperature in a city was recorded as under: Time5a.m.8a.m.11a.m.3p.m.6p.mTemperaturein∘C2024262218 Illustrate the data by a bar graph.
Answer» On a certain by, the temperature in a city was recorded as under: $\begin{matrix} Time & 5 a . m . & 8 a . m . & 11 a . m . & 3 p . m . & 6 p . m Temperature i n^{\circ} C & 20 & 24 & 26 & 22 & 18 \end{matrix}$ Illustrate the data by a bar graph.

Discussion

47.	Choose the correct statement
Answer» Choose the correct statement

Discussion

48.	A rectangle of certain dimensions is chopped off from one corner of a larger rectangle as shown. AB = 8 cm and BC = 4 cm. the perimeter of the figure ABCPQRA (in cm).
Answer» A rectangle of certain dimensions is chopped off from one corner of a larger rectangle as shown. AB = 8 cm and BC = 4 cm. the perimeter of the figure ABCPQRA (in cm).

48.

A rectangle of certain dimensions is chopped off from one corner of a larger rectangle as shown. AB = 8 cm and BC = 4 cm. the perimeter of the figure ABCPQRA (in cm).

Answer»

A rectangle of certain dimensions is chopped off from one corner of a larger rectangle as shown. AB = 8 cm and BC = 4 cm. the perimeter of the figure ABCPQRA (in cm).

Discussion

49.	Rationalisation of the denominator of 1√5+√2 gives (a)1√10 (b)√5+√2 (c)√5−√2 (d)√5−√23
Answer» Rationalisation of the denominator of $\frac{1}{\sqrt{5} + \sqrt{2}}$ gives (a) $\frac{1}{\sqrt{10}}$ (b) $\sqrt{5} + \sqrt{2}$ (c) $\sqrt{5} - \sqrt{2}$ (d) $\frac{\sqrt{5} - \sqrt{2}}{3}$

49.

Rationalisation of the denominator of 1√5+√2 gives (a)1√10 (b)√5+√2 (c)√5−√2 (d)√5−√23

Answer»

Rationalisation of the denominator of $\frac{1}{\sqrt{5} + \sqrt{2}}$ gives

(a) $\frac{1}{\sqrt{10}}$ (b) $\sqrt{5} + \sqrt{2}$ (c) $\sqrt{5} - \sqrt{2}$ (d) $\frac{\sqrt{5} - \sqrt{2}}{3}$

Discussion

50.	If two straight lines are perpendicular to a line l, then they are.
Answer» If two straight lines are perpendicular to a line l, then they are.

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

The ratio of curved surface area of two cylinders having the same height is 5:6. The ratio of their volumes will be equal to

In the above figure, p = __ and q = ___.

Question 2 (ii) Draw, wherever possible, a rough sketch of: ii) A triangle with only line symmetry and no rotational symmetry of order more than 1.

If the radius of a sphere is doubled, then the ratio of the volume of the original sphere to that of the new one is

triangle ABC is right angled at C. A line through the midpoint M of hypotenuse AB and parallel to BC intersects Ac at D. Show that MD perpendicular to AC

Calculate the diameter of height 7cm and diameter 7cm.What will be the change in the volume of the cylinder if the diameter is doubled and the height is halved?

cot 53∘=

P, Q and R started a certain business and made a profit of Rs. 6800. The ratio of profit of P and Q is 1 : 3 while that of Q and R is 2 : 3. Calculate the profit earned by P.

Which of the following statements is true?

Question 1 Use suitable identities to find the following products: (i) (x + 4) (x + 10) (ii) (x+8) (x-10) (iii) (3x + 4) (3x-5) (iv) (y2+32)(y2−32) (c) (3-2x) (3+2x)

Question 117 State whether the answer is greater than 1 or less than 1 Put a 'V mark in appropriate box. QuestionGreater than 1Less than 123÷1223÷216+1415÷12413÷31223×812

The height of the building is 200\sqrt{3}ft, What is the angle of elevation from a point on the level ground 100ft away from the base of the building?

In an isosceles triangle ABC with AB=AC, D and E are points on BC such that BE=CD. The value of ADAE is equal to

A field is in the shape of a trapezium whose parallel sides are 25m and 10m. The non- parallel sides are 14m and 13m. Find the area of the field.

In the given circle, with AB as diameter, find the value of 'x'.

Find the value of X (27)x = 9 upon 3 where 3 is raised to X

If mean of x, x +2, x + 4, x + 6 and x + 8 is 11, find the mean of first three observations.

a2 + b2 + c2 - ab - bc - ca equals:

If two angles of a quadrilateral are 36∘ and 72∘ and other two angles are in the ratio 3:4, then the measure of these angles are

The sum of first 16 odd numbers is ___.

Which of the following is the graph representing 2x - y = 10?

Match the object in Column A to formulae in Column B. Choose the Option with correct matches. AB1. Surface area of cone1. 4πr22. Surface area of sphere2. 2πrh3. curved surface area of cylinder3. πrL

If x and y are positive real numbers, then which of the following is correct?

In the given figure, ABCD is a parallelogram and PD is parallel to QC. S1 : △APD≅△BQC S2 : ar(△APD)+ ar(PBCD)= ar(△BQC)+ ar(CDPB)

Which expression matches the statement "Subtract the sum of 5x and 3x from 12y”?

If Rajat said he will include zero with all the natural numbers, then he will get ____.

Find the value of the polynomial 5x−4x2+3 at (i) x=0 (ii) x=−1 (iii) x=2

A solid cylinder of diameter 14 cm and height 20 cm is placed inside a box of dimension 20 cm ×20 cm × 20 cm. How much water can be filled in the box after placing the cylinder in the box?

A contractor plans to install two slides for the children to play in a park. For the children below the age of 5 years, she prefers to have a slide whose top is at a height of √3m and is inclined at an angle of 60∘ to the ground. What should be the length of the slide?

Ram purchased 1.5 kgs of tomato for 35 rupees. If 5.6 kg of tomato is required to prepare 5 kg tomato pickle. What is the cost of 1 kg tomato pickle, given that only tomatoes are used for the preparation of the pickle? [4 MARKS]

Question 33 The perimeter of a circle and its diameter vary___with each other.

Ali was asked to construct a square ABCD for which, the diagonal AC alone is given. He was given a compass and a straight edge (a ruler with NO markings). P is said to be the point of intersection of the diagonals of the square. Which of the following will be Ali's second step of construction?

If →a,→b,→c are vectors such that →a.→b=0 and →a+→b=→c, then

If 2 is a zero of the polynomial of p(z)=7z−a and (a+2) is a zero of another polynomial q(x)=ax2+bx+c,which of the following is true?

Question 24 45 of 45 is ___.

Use the following information to answer the next question. The given figure shows an isosceles ΔABC with AB = BC. Sides BC and AC are extended to D and E respectively, such that CD and CE along with DE form sides of ΔCDE. How can ΔCDE be classified?

The mean of 50 ,20 and 20 is ___________

A point E is taken on the side BC of a parallelogram ABCD. AE and DC are produced to meet at F. Then,

In which quadrant will the point, (-3,-1) lie in the cartesian plane?

To fill a 4 m wide, 8 m long and 3 m deep sand box, how much sand do you need?

The number of students who have played various sports is shown in the table below. Sport Cricket Tennis Chess Football No. of Students 5 10 20 15 Which of the following is the right bar graph to represent the data above?

Why 0! (zero factorial) is 1(one)

If x2+1x2=79, find the value of x+1x.

On a certain by, the temperature in a city was recorded as under: Time5a.m.8a.m.11a.m.3p.m.6p.mTemperaturein∘C2024262218 Illustrate the data by a bar graph.

Choose the correct statement

A rectangle of certain dimensions is chopped off from one corner of a larger rectangle as shown. AB = 8 cm and BC = 4 cm. the perimeter of the figure ABCPQRA (in cm).

Rationalisation of the denominator of 1√5+√2 gives (a)1√10 (b)√5+√2 (c)√5−√2 (d)√5−√23

If two straight lines are perpendicular to a line l, then they are.

In the above figure, p = and q = _.