32581 + Interview Questions in Mathematics

1.	The centre O of a circle has the coordinates (4, 5) and a point on the circumference is (6, 7.5). Find the coordinates of the other end of the diameter of the circle through this point.
Answer» The centre O of a circle has the coordinates (4, 5) and a point on the circumference is (6, 7.5). Find the coordinates of the other end of the diameter of the circle through this point.

Discussion

2.	The sum of the present ages of a father and his son is 60 years. Six years ago, the father's age was five times the age of his son. After 6 years, the son's age will be:
Answer» The sum of the present ages of a father and his son is 60 years. Six years ago, the father's age was five times the age of his son. After 6 years, the son's age will be:

Discussion

3.	Given x ∈ {whole numbers},find the solution set of: −1 ≤ 3+4x < 23
Answer» Given x $\in$ {whole numbers},find the solution set of: $- 1 \leq 3 + 4 x < 23$

3.

Given x ∈ {whole numbers},find the solution set of: −1 ≤ 3+4x < 23

Answer»

Given x $\in$ {whole numbers},find the solution set of:

$- 1 \leq 3 + 4 x < 23$

Discussion

4.	Question 14 (ii) One card is drawn from a well–shuffled deck of 52 cards. Find the probability of getting a face card.
Answer» Question 14 (ii) One card is drawn from a well–shuffled deck of 52 cards. Find the probability of getting a face card.

Discussion

5.	Question 19 Find the values of k, if the points A(k+1, 2k), B(3k,2k+3) and C(5k-1,5k) are collinear.
Answer» Question 19 Find the values of k, if the points A(k+1, 2k), B(3k,2k+3) and C(5k-1,5k) are collinear.

Discussion

6.	The ratio of two numbers is 23. If 2 is subtracted from the first and 8 from the second, the ratio becomes the reciprocal of the original ratio. Find the numbers.
Answer» The ratio of two numbers is $\frac{2}{3}$ . If 2 is subtracted from the first and 8 from the second, the ratio becomes the reciprocal of the original ratio. Find the numbers.

Discussion

7.	Find the value of 1−tan230∘1+tan230∘
Answer» Find the value of $\frac{1 - t a n^{2} 30^{\circ}}{1 + t a n^{2} 30^{\circ}}$

Discussion

8.	What is the total surface area of the square pyramid whose base edge is 6 cm long and the lateral faces are equilateral triangles?
Answer» What is the total surface area of the square pyramid whose base edge is 6 cm long and the lateral faces are equilateral triangles?

Discussion

9.	In the above fig Q and α respectively are
Answer» In the above fig Q and α respectively are

9.

In the above fig Q and α respectively are

Answer»

In the above fig Q and α respectively are

Discussion

10.	If A=[abcd], then A−1 =
Answer» If A= $[\begin{matrix} a & b c & d \end{matrix}]$ , then $A^{- 1}$ =

Discussion

11.	A right cylinderical vessel is full of water. How many right cones having the same radius and height as those of the right cylinder will be needed to store that water?
Answer» A right cylinderical vessel is full of water. How many right cones having the same radius and height as those of the right cylinder will be needed to store that water?

Discussion

12.	A right circular cylinder having diameter 12 cm and height 15 cm is full ice-cream.The ice-cream is to be filled in cones of height 12 cm and diameter 6 cm having a hemispherical shape on the top.Find the number of such cones which can be filled with ice-cream.
Answer» A right circular cylinder having diameter 12 cm and height 15 cm is full ice-cream.The ice-cream is to be filled in cones of height 12 cm and diameter 6 cm having a hemispherical shape on the top.Find the number of such cones which can be filled with ice-cream.

Discussion

13.	Two men buy apples and oranges. One person buys 5 apples and 2 oranges for ₹20. Another person buys 3 apples and 5 oranges for ₹ 31. Find the algebraic expression representing the above condition.
Answer» Two men buy apples and oranges. One person buys 5 apples and 2 oranges for ₹20. Another person buys 3 apples and 5 oranges for ₹ 31. Find the algebraic expression representing the above condition.

Discussion

14.	From the top of a building 20 m high, the angle of elevation of the top of a monument is 45° and the angle of depression of its foot is 15°. Find the height of the monument.
Answer» From the top of a building 20 m high, the angle of elevation of the top of a monument is 45° and the angle of depression of its foot is 15°. Find the height of the monument.

Discussion

15.	tan−1{xa+√a2−x2}
Answer» $t a n^{- 1} {\frac{x}{a + \sqrt{a^{2} - x^{2}}}}$

Discussion

16.	The perimeter of the quadrant of a circle is 25 cm. Find its area.
Answer» The perimeter of the quadrant of a circle is 25 cm. Find its area.

Discussion

17.	ABCD is a rectangle, having AB = 20 cm and BC = 14 cm. Two sectors of 180∘ have been cut off. Calculate (i) The area of the shaded region (ii) The length of the boundary of the shaded region.
Answer» ABCD is a rectangle, having AB = 20 cm and BC = 14 cm. Two sectors of $180^{\circ}$ have been cut off. Calculate (i) The area of the shaded region (ii) The length of the boundary of the shaded region.

17.

ABCD is a rectangle, having AB = 20 cm and BC = 14 cm. Two sectors of 180∘ have been cut off. Calculate (i) The area of the shaded region (ii) The length of the boundary of the shaded region.

Answer»

ABCD is a rectangle, having AB = 20 cm and BC = 14 cm. Two sectors of $180^{\circ}$ have been cut off. Calculate

(i) The area of the shaded region

(ii) The length of the boundary of the shaded region.

Discussion

18.	The number of students absent in a class were recorded every day for 120 days and the information is given in the following frequency table : No. of students absent (x): 0 1 2 3 4 5 6 7 No. of days (f) : 1 4 10 50 34 15 4 2 Find the mean number of students absent per day.
Answer» The number of students absent in a class were recorded every day for 120 days and the information is given in the following frequency table : No. of students absent (x): 0 1 2 3 4 5 6 7 No. of days (f) : 1 4 10 50 34 15 4 2 Find the mean number of students absent per day.

Discussion

19.	A rhombus having each side 10 cm has one of its angles as 120∘, then the area of the rhombus will be equal to
Answer» A rhombus having each side 10 cm has one of its angles as $120^{\circ}$ , then the area of the rhombus will be equal to

19.

A rhombus having each side 10 cm has one of its angles as 120∘, then the area of the rhombus will be equal to

Answer»

A rhombus having each side 10 cm has one of its angles as $120^{\circ}$ , then the area of the rhombus will be equal to

Discussion

20.	Three balls are to be picked from a bag containing 6 black, 5 white and 4 red balls. What is the probability that all the three balls are of different colour?
Answer» Three balls are to be picked from a bag containing 6 black, 5 white and 4 red balls. What is the probability that all the three balls are of different colour?

Discussion

21.	Question 1 ABC is an isosceles triangle with AB = AC and BD, CE are its two medians. Show that BD = CE.
Answer» Question 1 ABC is an isosceles triangle with AB = AC and BD, CE are its two medians. Show that BD = CE.

Discussion

22.	Question 173 Diagonals of a quadrilateral are perpendicular to each other. Is such a quadrilateral always a rhombus? Give a figure to justify your answer.
Answer» Question 173 Diagonals of a quadrilateral are perpendicular to each other. Is such a quadrilateral always a rhombus? Give a figure to justify your answer.

Discussion

23.	If vertices of right-angle triangle are (5,2), (2,-2)and (-2,a). It is right angled between points (5,2),(2,-2) and (2,-2),(-2,a), find the value of a.
Answer» If vertices of right-angle triangle are (5,2), (2,-2)and (-2,a). It is right angled between points (5,2),(2,-2) and (2,-2),(-2,a), find the value of a.

Discussion

24.	Question 5 (i) A study was conducted to find out the concentration of sulphur dioxide in the air in parts per million (ppm) of a certain city. The data obtained for 30 days isas follows: 0.030.080.080.090.040.170.160.050.020.060.180.200.110.080.120.130.220.070.080.010.100.060.090.180.110.070.050.070.010.04 (i) Make a grouped frequency distribution table for this data with class intervals as 0.00 - 0.04, 0.04 - 0.08, and so on.
Answer» Question 5 (i) A study was conducted to find out the concentration of sulphur dioxide in the air in parts per million (ppm) of a certain city. The data obtained for 30 days isas follows: $\begin{matrix} 0.03 & 0.08 & 0.08 & 0.09 & 0.04 & 0.17 0.16 & 0.05 & 0.02 & 0.06 & 0.18 & 0.20 0.11 & 0.08 & 0.12 & 0.13 & 0.22 & 0.07 0.08 & 0.01 & 0.10 & 0.06 & 0.09 & 0.18 0.11 & 0.07 & 0.05 & 0.07 & 0.01 & 0.04 \end{matrix}$ (i) Make a grouped frequency distribution table for this data with class intervals as 0.00 - 0.04, 0.04 - 0.08, and so on.

Discussion

25.	Find the sum and the product of zeroes of the polynomial x2 +7x +10
Answer» Find the sum and the product of zeroes of the polynomial x²+7x +10

Discussion

26.	Which of the following expressions are polynomials in one variable? (1)4x2−3x+7 (2)y2+√2 (3)y+2y (4)x10+y3+t50
Answer» Which of the following expressions are polynomials in one variable? (1) $4 x^{2} - 3 x + 7$ (2) $y^{2} + \sqrt{2}$ (3) $y + \frac{2}{y}$ (4) $x^{10} + y^{3} + t^{50}$

26.

Which of the following expressions are polynomials in one variable? (1)4x2−3x+7 (2)y2+√2 (3)y+2y (4)x10+y3+t50

Answer»

Which of the following expressions are polynomials in one variable?

(1) $4 x^{2} - 3 x + 7$

(2) $y^{2} + \sqrt{2}$

(3) $y + \frac{2}{y}$

(4) $x^{10} + y^{3} + t^{50}$

Discussion

27.	In ΔABC, AD is the median. Which of these conditions should be satisfied to make ΔADB and ΔADC similar triangles?
Answer» In $Δ$ ABC, AD is the median. Which of these conditions should be satisfied to make $Δ$ ADB and $Δ$ ADC similar triangles?

Discussion

28.	State the converse of Thales' theorem.
Answer» State the converse of Thales' theorem.

Discussion

29.	The following data gives the information on the observed lifetime (in hours) of 225 electrical components: Life time (in hours)0−2020−4040−6060−8080−100100−120Number of components103552613829 Determine the modal lifetime of the components.
Answer» The following data gives the information on the observed lifetime (in hours) of 225 electrical components: $\begin{matrix} L i f e t i m e (i n h o u r s) & 0 - 20 & 20 - 40 & 40 - 60 & 60 - 80 & 80 - 100 & 100 - 120 N u m b e r o f c o m p o n e n t s & 10 & 35 & 52 & 61 & 38 & 29 \end{matrix}$ Determine the modal lifetime of the components.

Discussion

30.	The ratio of the area of a smaller circle to the bigger circle is 1 : 4 . Find the ratio of radius of smaller circleradius of bigger circle?
Answer» The ratio of the area of a smaller circle to the bigger circle is 1 : 4 . Find the ratio of $\frac{radius of smaller circle}{radius of bigger circle}$ ?

Discussion

31.	An object moves from a point A(−2 m,0) to point B(5 m,0) on x−axis. Displacement of the object is
Answer» An object moves from a point $A (- 2 m, 0)$ to point $B (5 m, 0)$ on $x -$ axis. Displacement of the object is

Discussion

32.	If a=pl.qm.rn and b=px.qy.rz where p,q,r are primes and p<q<r and l,m,n,x,y,z are all natural numbers. Given HCF = p2.q3.r and LCM = p3.q4.r3, which one of the following is NOT true?
Answer» If $a = p^{l} . q^{m} . r^{n}$ and $b = p^{x} . q^{y} . r^{z}$ where p,q,r are primes and p<q<r and l,m,n,x,y,z are all natural numbers. Given HCF = $p^{2}$ . $q^{3} . r$ and LCM = $p^{3}$ . $q^{4}$ . $r^{3}$ , which one of the following is NOT true?

Discussion

33.	Find the mean marks per student, using assumed-mean method: Marks0−1010−2020−3030−4040−5050−60Number of students12182720176
Answer» Find the mean marks per student, using assumed-mean method: $\begin{matrix} Marks & 0 - 10 & 10 - 20 & 20 - 30 & 30 - 40 & 40 - 50 & 50 - 60 Number of students & 12 & 18 & 27 & 20 & 17 & 6 \end{matrix}$

Discussion

34.	One side of a rhombus is 20 cm long and one of its diagonals measures 24 cm. The area of the rhombus is (a) 192 cm2 (b) 480 cm2 (c) 240 cm2 (d) 384 cm2
Answer» One side of a rhombus is 20 cm long and one of its diagonals measures 24 cm. The area of the rhombus is (a) 192 $c m^{2}$ (b) 480 $c m^{2}$ (c) 240 $c m^{2}$ (d) 384 $c m^{2}$

34.

One side of a rhombus is 20 cm long and one of its diagonals measures 24 cm. The area of the rhombus is (a) 192 cm2 (b) 480 cm2 (c) 240 cm2 (d) 384 cm2

Answer»

One side of a rhombus is 20 cm long and one of its diagonals measures 24 cm. The area of the rhombus is

(a) 192 $c m^{2}$ (b) 480 $c m^{2}$ (c) 240 $c m^{2}$ (d) 384 $c m^{2}$

Discussion

35.	Check whether – 150 is a term of the AP :11,8,5,2…. ?
Answer» Check whether – 150 is a term of the AP :11,8,5,2…. ?

Discussion

36.	Question 7(d) Find the ratio of the following: 500 ml to 2 litres
Answer» Question 7(d) Find the ratio of the following: 500 ml to 2 litres

36.

Question 7(d) Find the ratio of the following: 500 ml to 2 litres

Answer»

Question 7(d)

Find the ratio of the following:

500 ml to 2 litres

Discussion

37.	A person buys a lottery ticket in 50 lotteries, in each of which his chance of winning prize is 1100. What is the probability that he will win a prize. exactly once ?
Answer» A person buys a lottery ticket in 50 lotteries, in each of which his chance of winning prize is $\frac{1}{100}$ . What is the probability that he will win a prize. exactly once ?

Discussion

38.	In triangle ABC, if AP⊥BC and AC2=BC2−AB2, then prove that PA2=PB×CP.
Answer» In triangle ABC, if $A P ⊥ B C$ and $A C^{2} = B C^{2} - A B^{2}$ , then prove that $P A^{2} = P B \times C P$ .

Discussion

39.	A rectangle of length “8 inches ” and breadth “7 inches ” is rotated 360∘ about its length. The volume of the resulting cylinder is
Answer» A rectangle of length “8 inches ” and breadth “7 inches ” is rotated $360^{\circ}$ about its length. The volume of the resulting cylinder is

Discussion

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

Discussion

41.	The inner diameter of a cylindrical wooden pipe is 24 cm and its outer diameter is 28 cm.The length of the pipe is 35 cm. Find the mass of the pipe, if 1cm3 of wood has a mass of 0.6 g. [Assume π=227]
Answer» The inner diameter of a cylindrical wooden pipe is 24 cm and its outer diameter is 28 cm.The length of the pipe is 35 cm. Find the mass of the pipe, if $1 c m^{3}$ of wood has a mass of 0.6 g. $[A s s u m e π = \frac{22}{7}]$

Discussion

42.	The following table shows the distribution of the heights of a group of factory workers : Ht. (cm):150−155155−160160−165165−170170−175175−180180−185No. of workers61218201386 (i) Determine the cumulative frequencies. (ii) Draw the 'less than' cumulative frequency curve on graph paper. Use 2 cm = 5 cm height on one axis and 2 cm = 10workers on the other.
Answer» The following table shows the distribution of the heights of a group of factory workers : $\begin{matrix} Ht. (cm): & 150 - 155 & 155 - 160 & 160 - 165 & 165 - 170 & 170 - 175 & 175 - 180 & 180 - 185 No. of workers & 6 & 12 & 18 & 20 & 13 & 8 & 6 \end{matrix}$ (i) Determine the cumulative frequencies. (ii) Draw the 'less than' cumulative frequency curve on graph paper. Use 2 cm = 5 cm height on one axis and 2 cm = 10workers on the other.

42.

The following table shows the distribution of the heights of a group of factory workers : Ht. (cm):150−155155−160160−165165−170170−175175−180180−185No. of workers61218201386 (i) Determine the cumulative frequencies. (ii) Draw the 'less than' cumulative frequency curve on graph paper. Use 2 cm = 5 cm height on one axis and 2 cm = 10workers on the other.

Answer»

The following table shows the distribution of the heights of a group of factory workers :

$\begin{matrix} Ht. (cm): & 150 - 155 & 155 - 160 & 160 - 165 & 165 - 170 & 170 - 175 & 175 - 180 & 180 - 185 No. of workers & 6 & 12 & 18 & 20 & 13 & 8 & 6 \end{matrix}$

(i) Determine the cumulative frequencies.

(ii) Draw the 'less than' cumulative frequency curve on graph paper. Use 2 cm = 5 cm height on one axis and 2 cm = 10workers on the other.

Discussion

43.	Question 12 If 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

44.	If two zeros of the polynomial x4-6x3-26x*2+138x-35are 2±√3,find other zeros
Answer» If two zeros of the polynomial x4-6x3-26x*2+138x-35are 2±√3,find other zeros

Discussion

45.	Which one of the following can't be the square of a natural number?
Answer» Which one of the following can't be the square of a natural number?

Discussion

46.	Solve the following quadratic equation by factorization. 1x+4−1x−7=1130,x≠4,7
Answer» Solve the following quadratic equation by factorization. $\frac{1}{x + 4} - \frac{1}{x - 7} = \frac{11}{30}, x \neq 4, 7$

Discussion

47.	Evaluate : tan26∘cot64∘___
Answer» Evaluate : $\frac{t a n 26^{\circ}}{c o t 64^{\circ}}$ ___

Discussion

48.	The sum of the reciprocals of Meena's ages (in years) 3 years ago and 5 years hence is 13. Find her present age.
Answer» The sum of the reciprocals of Meena's ages (in years) $3$ years ago and $5$ years hence is $\frac{1}{3}$ . Find her present age.

Discussion

49.	In a lottery there are 10 prizes and 25 blanks. What is the probability of getting a prize?
Answer» In a lottery there are 10 prizes and 25 blanks. What is the probability of getting a prize?

Discussion

50.	Find the mean of the following frequency distribution using a suitable method: Class20−3030−4040−5050−6060−70Frequency2540423310
Answer» Find the mean of the following frequency distribution using a suitable method: $\begin{matrix} Class & 20 - 30 & 30 - 40 & 40 - 50 & 50 - 60 & 60 - 70 Frequency & 25 & 40 & 42 & 33 & 10 \end{matrix}$

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

The centre O of a circle has the coordinates (4, 5) and a point on the circumference is (6, 7.5). Find the coordinates of the other end of the diameter of the circle through this point.

The sum of the present ages of a father and his son is 60 years. Six years ago, the father's age was five times the age of his son. After 6 years, the son's age will be:

Given x ∈ {whole numbers},find the solution set of: −1 ≤ 3+4x &lt; 23

Question 14 (ii) One card is drawn from a well–shuffled deck of 52 cards. Find the probability of getting a face card.

Question 19 Find the values of k, if the points A(k+1, 2k), B(3k,2k+3) and C(5k-1,5k) are collinear.

The ratio of two numbers is 23. If 2 is subtracted from the first and 8 from the second, the ratio becomes the reciprocal of the original ratio. Find the numbers.

Find the value of 1−tan230∘1+tan230∘

What is the total surface area of the square pyramid whose base edge is 6 cm long and the lateral faces are equilateral triangles?

In the above fig Q and α respectively are

If A=[abcd], then A−1 =

A right cylinderical vessel is full of water. How many right cones having the same radius and height as those of the right cylinder will be needed to store that water?

A right circular cylinder having diameter 12 cm and height 15 cm is full ice-cream.The ice-cream is to be filled in cones of height 12 cm and diameter 6 cm having a hemispherical shape on the top.Find the number of such cones which can be filled with ice-cream.

Two men buy apples and oranges. One person buys 5 apples and 2 oranges for ₹20. Another person buys 3 apples and 5 oranges for ₹ 31. Find the algebraic expression representing the above condition.

From the top of a building 20 m high, the angle of elevation of the top of a monument is 45° and the angle of depression of its foot is 15°. Find the height of the monument.

tan−1{xa+√a2−x2}

The perimeter of the quadrant of a circle is 25 cm. Find its area.

ABCD is a rectangle, having AB = 20 cm and BC = 14 cm. Two sectors of 180∘ have been cut off. Calculate (i) The area of the shaded region (ii) The length of the boundary of the shaded region.

The number of students absent in a class were recorded every day for 120 days and the information is given in the following frequency table : No. of students absent (x): 0 1 2 3 4 5 6 7 No. of days (f) : 1 4 10 50 34 15 4 2 Find the mean number of students absent per day.

A rhombus having each side 10 cm has one of its angles as 120∘, then the area of the rhombus will be equal to

Three balls are to be picked from a bag containing 6 black, 5 white and 4 red balls. What is the probability that all the three balls are of different colour?

Question 1 ABC is an isosceles triangle with AB = AC and BD, CE are its two medians. Show that BD = CE.

Question 173 Diagonals of a quadrilateral are perpendicular to each other. Is such a quadrilateral always a rhombus? Give a figure to justify your answer.

If vertices of right-angle triangle are (5,2), (2,-2)and (-2,a). It is right angled between points (5,2),(2,-2) and (2,-2),(-2,a), find the value of a.

Find the sum and the product of zeroes of the polynomial x2 +7x +10

Which of the following expressions are polynomials in one variable? (1)4x2−3x+7 (2)y2+√2 (3)y+2y (4)x10+y3+t50

In ΔABC, AD is the median. Which of these conditions should be satisfied to make ΔADB and ΔADC similar triangles?

State the converse of Thales' theorem.

The following data gives the information on the observed lifetime (in hours) of 225 electrical components: Life time (in hours)0−2020−4040−6060−8080−100100−120Number of components103552613829 Determine the modal lifetime of the components.

The ratio of the area of a smaller circle to the bigger circle is 1 : 4 . Find the ratio of radius of smaller circleradius of bigger circle?

An object moves from a point A(−2 m,0) to point B(5 m,0) on x−axis. Displacement of the object is

If a=pl.qm.rn and b=px.qy.rz where p,q,r are primes and p&lt;q&lt;r and l,m,n,x,y,z are all natural numbers. Given HCF = p2.q3.r and LCM = p3.q4.r3, which one of the following is NOT true?

Find the mean marks per student, using assumed-mean method: Marks0−1010−2020−3030−4040−5050−60Number of students12182720176

One side of a rhombus is 20 cm long and one of its diagonals measures 24 cm. The area of the rhombus is (a) 192 cm2 (b) 480 cm2 (c) 240 cm2 (d) 384 cm2

Check whether – 150 is a term of the AP :11,8,5,2…. ?

Question 7(d) Find the ratio of the following: 500 ml to 2 litres

A person buys a lottery ticket in 50 lotteries, in each of which his chance of winning prize is 1100. What is the probability that he will win a prize. exactly once ?

In triangle ABC, if AP⊥BC and AC2=BC2−AB2, then prove that PA2=PB×CP.

A rectangle of length “8 inches ” and breadth “7 inches ” is rotated 360∘ about its length. The volume of the resulting cylinder is

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

The inner diameter of a cylindrical wooden pipe is 24 cm and its outer diameter is 28 cm.The length of the pipe is 35 cm. Find the mass of the pipe, if 1cm3 of wood has a mass of 0.6 g. [Assume π=227]

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

If two zeros of the polynomial x*4-6x*3-26x*2+138x-35are 2±√3,find other zeros

Which one of the following can't be the square of a natural number?

Solve the following quadratic equation by factorization. 1x+4−1x−7=1130,x≠4,7

Evaluate : tan26∘cot64∘___

The sum of the reciprocals of Meena's ages (in years) 3 years ago and 5 years hence is 13. Find her present age.

In a lottery there are 10 prizes and 25 blanks. What is the probability of getting a prize?

Find the mean of the following frequency distribution using a suitable method: Class20−3030−4040−5050−6060−70Frequency2540423310

Given x ∈ {whole numbers},find the solution set of: −1 ≤ 3+4x < 23

If a=pl.qm.rn and b=px.qy.rz where p,q,r are primes and p<q<r and l,m,n,x,y,z are all natural numbers. Given HCF = p2.q3.r and LCM = p3.q4.r3, which one of the following is NOT true?

If two zeros of the polynomial x4-6x3-26x*2+138x-35are 2±√3,find other zeros