32581 + Interview Questions in Mathematics

1.	Raj runs and covers a distance of 0.616 km in the ground which is in the shape of semi-circle mounted on the rectangle as shown below. Find the number of rounds taken by Raj to cover the distance ___
Answer» Raj runs and covers a distance of 0.616 km in the ground which is in the shape of semi-circle mounted on the rectangle as shown below. Find the number of rounds taken by Raj to cover the distance ___

1.

Raj runs and covers a distance of 0.616 km in the ground which is in the shape of semi-circle mounted on the rectangle as shown below. Find the number of rounds taken by Raj to cover the distance ___

Answer»

Raj runs and covers a distance of 0.616 km in the ground which is in the shape of semi-circle mounted on the rectangle as shown below. Find the number of rounds taken by Raj to cover the distance

___

Discussion

2.	The solutions of the equation: x2 + 2- 143 = 0
Answer» The solutions of the equation: x² + 2- 143 = 0

Discussion

3.	If the radii of the cirular ends of a conical bucket which is 45 cm high be 28 cm and 7 cm, find the capacity of the bucket. (Use π = 22/7).
Answer» If the radii of the cirular ends of a conical bucket which is 45 cm high be 28 cm and 7 cm, find the capacity of the bucket. (Use $π$ = 22/7).

Discussion

4.	The short and long hands of a clock are 4 cm & 6 cm long respectively. Find the sum of distance in cm travelled by their tips in two days. (Take π=227). [4 MARKS]
Answer» The short and long hands of a clock are 4 cm & 6 cm long respectively. Find the sum of distance in cm travelled by their tips in two days. (Take $π = \frac{22}{7}$ ). [4 MARKS]

Discussion

5.	A solid lead ball of radius 6 cm is melted and then drawn into a wire of diameter 0.2 cm. The length of wire is(a) 272 m (b) 288 m (c) 292 m (d) 296 m
Answer» A solid lead ball of radius $6 c m$ is melted and then drawn into a wire of diameter $0.2 c m$ . The length of wire is $(a) 272 m (b) 288 m (c) 292 m (d) 296 m$

5.

A solid lead ball of radius 6 cm is melted and then drawn into a wire of diameter 0.2 cm. The length of wire is(a) 272 m (b) 288 m (c) 292 m (d) 296 m

Answer»

A solid lead ball of radius $6 c m$ is melted and then drawn into a wire of diameter $0.2 c m$ . The length of wire is

$(a) 272 m (b) 288 m (c) 292 m (d) 296 m$

Discussion

6.	Which of the following cannot be the probability of an event ? (a) 1.5 (b) 35 (c) 25 % (d) 0.3
Answer» Which of the following cannot be the probability of an event ? (a) 1.5 (b) $\frac{3}{5}$ (c) 25 % (d) 0.3

Discussion

7.	Find the value of sin 48o sec 42o + cos 48o cosec 42o.
Answer» Find the value of sin $48^{o}$ sec $42^{o}$ + cos $48^{o}$ cosec $42^{o}$ .

Discussion

8.	A batsman is holding a 1 m long bat in his hand. To make a shot, the batsman swings the bat by an angle of 60 degrees. His arm length is 75 cms. Considering his hand and the bat is acting as a straight line, what will be the area swept by the bat.
Answer» A batsman is holding a 1 m long bat in his hand. To make a shot, the batsman swings the bat by an angle of 60 degrees. His arm length is 75 cms. Considering his hand and the bat is acting as a straight line, what will be the area swept by the bat.

8.

A batsman is holding a 1 m long bat in his hand. To make a shot, the batsman swings the bat by an angle of 60 degrees. His arm length is 75 cms. Considering his hand and the bat is acting as a straight line, what will be the area swept by the bat.

Answer»

A batsman is holding a 1 m long bat in his hand. To make a shot, the batsman swings the bat by an angle of 60 degrees. His arm length is 75 cms. Considering his hand and the bat is acting as a straight line, what will be the area swept by the bat.

Discussion

9.	A tangent is drawn at a point P on a circle. A line through the centre O of a circle of radius 7 cm cuts the tangent at Q such that PQ = 24 cm. Find OQ.
Answer» A tangent is drawn at a point P on a circle. A line through the centre O of a circle of radius 7 cm cuts the tangent at Q such that PQ = 24 cm. Find OQ.

Discussion

10.	Given A = [ 2 -3], B = [ 0 2] and C = [-1 4] ; find the matrix X in each of the follwing (i) X + B = C - A (ii)A - X = B + C
Answer» Given A = [ 2 -3], B = [ 0 2] and C = [-1 4] ; find the matrix X in each of the follwing (i) X + B = C - A (ii)A - X = B + C

Discussion

11.	Question 3 Find the centre of a circle passing through points (6, -6), (3, -7) and (3, 3).
Answer» Question 3 Find the centre of a circle passing through points (6, -6), (3, -7) and (3, 3).

Discussion

12.	Find the roots of the equation 5x2–6x–2=0 by the method of completing the square.
Answer» Find the roots of the equation $5 x^{2} - 6 x - 2 = 0$ by the method of completing the square.

Discussion

13.	The sum of all real roots of the equation (x−2\|2+(x−2\|−2=0 is
Answer» The sum of all real roots of the equation ${(x - 2 \|}^{2} + (x - 2 \| - 2 = 0$ is

Discussion

14.	Shikha buys shares at the par value of ₹20 in a company, paying 12% dividend. Find the number of shares bought by her, if she receives an annual income of ₹5760.
Answer» Shikha buys shares at the par value of ₹20 in a company, paying $12 %$ dividend. Find the number of shares bought by her, if she receives an annual income of ₹5760.

Discussion

15.	Express 859/10^4 in decimal from
Answer» Express 859/10^4 in decimal from

Discussion

16.	(a) In the given figure, LM\|\| QR Find PL. (b) In ΔABC,DE\|\|BC.IfAD=x−5,DB=3x−19,AE=3 and EC=x−3, find x. [6 MARKS]
Answer» (a) In the given figure, LM\|\| QR Find PL. (b) In $Δ A B C, D E \| \| B C . I f A D = x - 5, D B = 3 x - 19, A E = 3$ and $E C = x - 3,$ find x. [6 MARKS]

Discussion

17.	7 cos 70/(2 sin 20) +3(cos 55.cosec 35)/2(tan5. tan 25, tan 45. tan 65. tan 85)
Answer» 7 cos 70/(2 sin 20) +3(cos 55.cosec 35)/2(tan5. tan 25, tan 45. tan 65. tan 85)

Discussion

18.	A girl fills a cylindrical bucket whose height is 32 cm and radius is 18 cm with sand. She empties the bucket on the ground and makes a conical heap of the sand. If the height of the conical heap is 24 cm, then the slant height of the cone formed is:
Answer» A girl fills a cylindrical bucket whose height is 32 cm and radius is 18 cm with sand. She empties the bucket on the ground and makes a conical heap of the sand. If the height of the conical heap is 24 cm, then the slant height of the cone formed is:

Discussion

19.	The number 1.2.3.4.5.6......25 has _______ number of zeroes in the end.
Answer» The number 1.2.3.4.5.6......25 has _______ number of zeroes in the end.

Discussion

20.	Question 58 Fill in the blanks to make the statement true. ___ × (-23) = -920
Answer» Question 58 Fill in the blanks to make the statement true. ___ $\times$ (-23) = -920

20.

Question 58 Fill in the blanks to make the statement true. ___ × (-23) = -920

Answer»

Question 58

Fill in the blanks to make the statement true.

___ $\times$ (-23) = -920

Discussion

21.	Solve for x and y 2/x+3/y=9/xy and 4/x+9/y=21/xy(x≠0 and y≠0)
Answer» Solve for x and y 2/x+3/y=9/xy and 4/x+9/y=21/xy(x≠0 and y≠0)

21.

Solve for x and y 2/x+3/y=9/xy and 4/x+9/y=21/xy(x≠0 and y≠0)

Answer»

Solve for x and y

2/x+3/y=9/xy and 4/x+9/y=21/xy(x≠0 and y≠0)

Discussion

22.	If z and 1/z are the zeros of the polynominal 4x^2-2x+(k-4),find the value of k.
Answer» If z and 1/z are the zeros of the polynominal 4x^2-2x+(k-4),find the value of k.

Discussion

23.	LCM of x2+x−6 and (x−2)2 is (x+a) (x−b)2. Value of (a+b)2 =
Answer» LCM of $x^{2} + x - 6$ and $(x - 2)^{2}$ is $(x + a)$ $(x - b)^{2}$ . Value of $(a + b)^{2}$ =

Discussion

24.	The square of the greater of two consecutive Even Numbers exceeds the square of the smaller by 36. find the numbers
Answer» The square of the greater of two consecutive Even Numbers exceeds the square of the smaller by 36. find the numbers

Discussion

25.	Find the least no. That is divisible by all the nos.between 1and 10(both inclusive)
Answer» Find the least no. That is divisible by all the nos.between 1and 10(both inclusive)

Discussion

26.	Two APs have the same common difference. The difference between their 100th terms is 100,what is the difference between their 1000th terms?
Answer» Two APs have the same common difference. The difference between their 100th terms is 100,what is the difference between their 1000th terms?

Discussion

27.	Let p and q are distinct naturals such that 2005+p=q2 and 2005+q=p2.Find the value of 2014+pq
Answer» Let p and q are distinct naturals such that 2005+p=q² and 2005+q=p².Find the value of 2014+pq

Discussion

28.	If difference of reciprocal of roots of a quadratic equation ax2+bx+c=0 is 14, and difference of roots is 2. Then the value of c in the given equation is
Answer» If difference of reciprocal of roots of a quadratic equation $a x^{2} + b x + c = 0$ is $\frac{1}{4}$ , and difference of roots is 2. Then the value of c in the given equation is

Discussion

29.	Find what must be subtracted from the polynomial 4y^4+12y^3+6y^2+50y+26 so that the obtained polynomial is exactly divisible by y^2+4y+2
Answer» Find what must be subtracted from the polynomial 4y^4+12y^3+6y^2+50y+26 so that the obtained polynomial is exactly divisible by y^2+4y+2

Discussion

30.	The median of the variables x+4,x−72,x−52, x−3,x−2,x+12,x−12 and x+5, where x>0, is:
Answer» The median of the variables $x + 4, x - \frac{7}{2}, x - \frac{5}{2}$ , $x - 3, x - 2, x + \frac{1}{2}, x - \frac{1}{2}$ and $x + 5$ , where $x > 0$ , is:

Discussion

31.	What is the area of a triangle whose vertices are (a , b + c), (a, b - c) and (-a, c)?
Answer» What is the area of a triangle whose vertices are (a , b + c), (a, b - c) and (-a, c)?

Discussion

32.	Match the two columns. Column−IColumn−II(A) Total surface area of cylinder is(p) Its total surface area−base area(B) Curved surface area of hemisphere(q) Half of the circumference of Base×height2+base2(C) Total surface area of a cone is(2×base area)+ (circumference of circle base×height)(D) Curved surface area of a cone is(s) area of base×(slant height+base radius)radius of circular base Choose the correct option:
Answer» Match the two columns. $\begin{matrix} C o l u m n - I & C o l u m n - I I (A) T o t a l s u r f a c e a r e a o f c y l i n d e r i s & (p) I t s t o t a l s u r f a c e a r e a - b a s e a r e a (B) C u r v e d s u r f a c e a r e a o f h e m i s p h e r e & (q) H a l f o f t h e c i r c u m f e r e n c e o f B a s e \times h e i g h t^{2} + b a s e^{2} (C) T o t a l s u r f a c e a r e a o f a c o n e i s & (2 \times b a s e a r e a) + (c i r c u m f e r e n c e o f c i r c l e b a s e \times h e i g h t) (D) C u r v e d s u r f a c e a r e a o f a c o n e i s & (s) \frac{a r e a o f b a s e \times (s l a n t h e i g h t + b a s e r a d i u s)}{r a d i u s o f c i r c u l a r b a s e} \end{matrix}$ Choose the correct option:

Discussion

33.	Construct a Δ ABC in which AB = 4 cm, BC = 5 cm and ∠ABC=120∘. Locate the point P, such that ∠BAP=90∘ and BP = CP. Then the length of BP is
Answer» Construct a $Δ A B C$ in which AB = 4 cm, BC = 5 cm and $∠ A B C = 120^{\circ}$ . Locate the point P, such that $∠ B A P = 90^{\circ}$ and BP = CP. Then the length of BP is

Discussion

34.	Which of the following should be the FOURTH sentence after rearrangement?
Answer» Which of the following should be the FOURTH sentence after rearrangement?

Discussion

35.	If (a2−b2ba3) = (−x523), the value of x is __________
Answer» If $(\begin{matrix} a^{2} - b^{2} & b a & 3 \end{matrix})$ = $(\begin{matrix} - x & 5 2 & 3 \end{matrix})$ , the value of x is __________

Discussion

36.	5+√105√5−2√20−√32+√50
Answer» $\frac{5 + \sqrt{10}}{5 \sqrt{5} - 2 \sqrt{20} - \sqrt{32} + \sqrt{50}}$

Discussion

37.	If A=⎡⎢⎣100010ab−1⎤⎥⎦, then for n ϵ N, An=
Answer» $I f A = ⎡ ⎢ ⎣ \begin{matrix} 1 & 0 & 0 0 & 1 & 0 a & b & - 1 \end{matrix} ⎤ ⎥ ⎦, t h e n f o r n ϵ N, A^{n} =$

Discussion

38.	Solve the following inequation:3−2x≥x−12,given x ϵN. [4 MARKS]
Answer» Solve the following inequation: $3 - 2 x \geq x - 12, g i v e n x ϵ N .$ [4 MARKS]

Discussion

39.	Find the probability of having 53 Sundays in a leap year.
Answer» Find the probability of having 53 Sundays in a leap year.

Discussion

40.	Solve: xa−a+bx=b(a+b)ax.
Answer» Solve: $\frac{x}{a} - \frac{a + b}{x} = \frac{b (a + b)}{a x} .$

Discussion

41.	Given x∈{real numbers}, find the range of value of x for which −5≤2x−3<x+2 and represent it on a real number line.
Answer» Given $x \in {r e a l n u m b e r s}, find the range of value of x for which - 5 \leq 2 x - 3 < x + 2$ and represent it on a real number line.

Discussion

42.	Which of the following features is the merit of direct taxation?
Answer» Which of the following features is the merit of direct taxation?

Discussion

43.	What is the situation implies in the case where the demand is greater than unitary elastic when percentage change in quantity demanded in response to change in price of the commodity?
Answer» What is the situation implies in the case where the demand is greater than unitary elastic when percentage change in quantity demanded in response to change in price of the commodity?

Discussion

44.	A tent is in the form of a cylinder of diameter 4.2 m and height 4 m, is surmounted by a cone of equal base and height 2.8 m. Find the cost of canvas required for making the tent at ₹100 per sq.m.
Answer» A tent is in the form of a cylinder of diameter 4.2 m and height 4 m, is surmounted by a cone of equal base and height 2.8 m. Find the cost of canvas required for making the tent at ₹100 per sq.m.

Discussion

45.	Question 2(i) (i) John and Jivanti together have 45 marbles. Both of them lost 5 marbles each, and the product of the number of marbles they now have is 124. Find out how many marbles they had to start with.
Answer» Question 2(i) (i) John and Jivanti together have 45 marbles. Both of them lost 5 marbles each, and the product of the number of marbles they now have is 124. Find out how many marbles they had to start with.

Discussion

46.	Find the sum and the product of the zeroes of the polynomial: x2-3x-10
Answer» Find the sum and the product of the zeroes of the polynomial: x²-3x-10

Discussion

47.	What is the area of the circle whose diametrically opposite points are (4 sin 40∘,0) and (0,4 sin 50∘)respectively
Answer» What is the area of the circle whose diametrically opposite points are $(4 s i n 40^{\circ}, 0) a n d (0, 4 s i n 50^{\circ})$ respectively

Discussion

48.	A solid iron rectangular block of dimensions 4.4 m, 2.6 m and 1 m is melted and cast into a hollow cylindrical pipe of internal radius 30 cm and thickness 5 cm. The length of the pipe will be
Answer» A solid iron rectangular block of dimensions 4.4 m, 2.6 m and 1 m is melted and cast into a hollow cylindrical pipe of internal radius 30 cm and thickness 5 cm. The length of the pipe will be

Discussion

49.	The following table gives the lifetime in days of 100 electricity tubes of a certain make: Find the mean lifetime of electricity tubes by the step deviation method.
Answer» The following table gives the lifetime in days of $100$ electricity tubes of a certain make: Find the mean lifetime of electricity tubes by the step deviation method.

49.

The following table gives the lifetime in days of 100 electricity tubes of a certain make: Find the mean lifetime of electricity tubes by the step deviation method.

Answer»

The following table gives the lifetime in days of $100$ electricity tubes of a certain make:

Find the mean lifetime of electricity tubes by the step deviation method.

Discussion

50.	The slope of a line parallel to a line passing through two points (3,4) and (7,8) is ___ .
Answer» The slope of a line parallel to a line passing through two points $(3, 4)$ and $(7, 8)$ is ___ .

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

Raj runs and covers a distance of 0.616 km in the ground which is in the shape of semi-circle mounted on the rectangle as shown below. Find the number of rounds taken by Raj to cover the distance ___

The solutions of the equation: x2 + 2- 143 = 0

If the radii of the cirular ends of a conical bucket which is 45 cm high be 28 cm and 7 cm, find the capacity of the bucket. (Use π = 22/7).

The short and long hands of a clock are 4 cm &amp; 6 cm long respectively. Find the sum of distance in cm travelled by their tips in two days. (Take π=227). [4 MARKS]

A solid lead ball of radius 6 cm is melted and then drawn into a wire of diameter 0.2 cm. The length of wire is(a) 272 m (b) 288 m (c) 292 m (d) 296 m

Which of the following cannot be the probability of an event ? (a) 1.5 (b) 35 (c) 25 % (d) 0.3

Find the value of sin 48o sec 42o + cos 48o cosec 42o.

A batsman is holding a 1 m long bat in his hand. To make a shot, the batsman swings the bat by an angle of 60 degrees. His arm length is 75 cms. Considering his hand and the bat is acting as a straight line, what will be the area swept by the bat.

A tangent is drawn at a point P on a circle. A line through the centre O of a circle of radius 7 cm cuts the tangent at Q such that PQ = 24 cm. Find OQ.

Given A = [ 2 -3], B = [ 0 2] and C = [-1 4] ; find the matrix X in each of the follwing (i) X + B = C - A (ii)A - X = B + C

Question 3 Find the centre of a circle passing through points (6, -6), (3, -7) and (3, 3).

Find the roots of the equation 5x2–6x–2=0 by the method of completing the square.

The sum of all real roots of the equation (x−2|2+(x−2|−2=0 is

Shikha buys shares at the par value of ₹20 in a company, paying 12% dividend. Find the number of shares bought by her, if she receives an annual income of ₹5760.

Express 859/10^4 in decimal from

(a) In the given figure, LM|| QR Find PL. (b) In ΔABC,DE||BC.IfAD=x−5,DB=3x−19,AE=3 and EC=x−3, find x. [6 MARKS]

7 cos 70/(2 sin 20) +3(cos 55.cosec 35)/2(tan5. tan 25, tan 45. tan 65. tan 85)

A girl fills a cylindrical bucket whose height is 32 cm and radius is 18 cm with sand. She empties the bucket on the ground and makes a conical heap of the sand. If the height of the conical heap is 24 cm, then the slant height of the cone formed is:

The number 1.2.3.4.5.6......25 has _______ number of zeroes in the end.

Question 58 Fill in the blanks to make the statement true. ___ × (-23) = -920

Solve for x and y 2/x+3/y=9/xy and 4/x+9/y=21/xy(x≠0 and y≠0)

If z and 1/z are the zeros of the polynominal 4x^2-2x+(k-4),find the value of k.

LCM of x2+x−6 and (x−2)2 is (x+a) (x−b)2. Value of (a+b)2 =

The square of the greater of two consecutive Even Numbers exceeds the square of the smaller by 36. find the numbers

Find the least no. That is divisible by all the nos.between 1and 10(both inclusive)

Two APs have the same common difference. The difference between their 100th terms is 100,what is the difference between their 1000th terms?

Let p and q are distinct naturals such that 2005+p=q2 and 2005+q=p2.Find the value of 2014+pq

If difference of reciprocal of roots of a quadratic equation ax2+bx+c=0 is 14, and difference of roots is 2. Then the value of c in the given equation is

Find what must be subtracted from the polynomial 4y^4+12y^3+6y^2+50y+26 so that the obtained polynomial is exactly divisible by y^2+4y+2

The median of the variables x+4,x−72,x−52, x−3,x−2,x+12,x−12 and x+5, where x&gt;0, is:

What is the area of a triangle whose vertices are (a , b + c), (a, b - c) and (-a, c)?

Construct a Δ ABC in which AB = 4 cm, BC = 5 cm and ∠ABC=120∘. Locate the point P, such that ∠BAP=90∘ and BP = CP. Then the length of BP is

Which of the following should be the FOURTH sentence after rearrangement?

If (a2−b2ba3) = (−x523), the value of x is __________

5+√105√5−2√20−√32+√50

If A=⎡⎢⎣100010ab−1⎤⎥⎦, then for n ϵ N, An=

Solve the following inequation:3−2x≥x−12,given x ϵN. [4 MARKS]

Find the probability of having 53 Sundays in a leap year.

Solve: xa−a+bx=b(a+b)ax.

Given x∈{real numbers}, find the range of value of x for which −5≤2x−3&lt;x+2 and represent it on a real number line.

Which of the following features is the merit of direct taxation?

What is the situation implies in the case where the demand is greater than unitary elastic when percentage change in quantity demanded in response to change in price of the commodity?

A tent is in the form of a cylinder of diameter 4.2 m and height 4 m, is surmounted by a cone of equal base and height 2.8 m. Find the cost of canvas required for making the tent at ₹100 per sq.m.

Question 2(i) (i) John and Jivanti together have 45 marbles. Both of them lost 5 marbles each, and the product of the number of marbles they now have is 124. Find out how many marbles they had to start with.

Find the sum and the product of the zeroes of the polynomial: x2-3x-10

What is the area of the circle whose diametrically opposite points are (4 sin 40∘,0) and (0,4 sin 50∘)respectively

A solid iron rectangular block of dimensions 4.4 m, 2.6 m and 1 m is melted and cast into a hollow cylindrical pipe of internal radius 30 cm and thickness 5 cm. The length of the pipe will be

The following table gives the lifetime in days of 100 electricity tubes of a certain make: Find the mean lifetime of electricity tubes by the step deviation method.

The slope of a line parallel to a line passing through two points (3,4) and (7,8) is ___ .

The short and long hands of a clock are 4 cm & 6 cm long respectively. Find the sum of distance in cm travelled by their tips in two days. (Take π=227). [4 MARKS]

The median of the variables x+4,x−72,x−52, x−3,x−2,x+12,x−12 and x+5, where x>0, is:

Given x∈{real numbers}, find the range of value of x for which −5≤2x−3<x+2 and represent it on a real number line.