32581 + Interview Questions in Mathematics

1.	If x=r sinα cosβ,y=r sinα sinβ and z=rcosα, then
Answer» If $x = r s i n α c o s β, y = r s i n α s i n β$ and $z = r c o s α$ , then

Discussion

2.	Miss. Kinnari deposits Rs 500 each month in a recurring deposit for 2 years at 5% p.a. At maturity, she transfers the proceeds to a fixed deposit account for 1 year, the interest being compounded half-yearly at the rate of 8% p.a. Find how much money the man earns by interest in all.
Answer» Miss. Kinnari deposits Rs 500 each month in a recurring deposit for 2 years at 5% p.a. At maturity, she transfers the proceeds to a fixed deposit account for 1 year, the interest being compounded half-yearly at the rate of 8% p.a. Find how much money the man earns by interest in all.

Discussion

3.	A hemispherical cup of radius 4 cm is filled to the brim with coffee. The coffee is then poured into a vertical cone of radius 8 cm and height 16 cm. What percentage of the cone remains empty?
Answer» A hemispherical cup of radius 4 cm is filled to the brim with coffee. The coffee is then poured into a vertical cone of radius 8 cm and height 16 cm. What percentage of the cone remains empty?

Discussion

4.	The following table gives the literacy rate (in percentage) of 35 cities. Find the mean literacy rate by step deviation method. Literacy rate (in percentage)45−5555−6565−7575−8585−95Number of cities3101183
Answer» The following table gives the literacy rate (in percentage) of 35 cities. Find the mean literacy rate by step deviation method. $\begin{matrix} L i t e r a c y r a t e (i n p e r c e n t a g e) & 45 - 55 & 55 - 65 & 65 - 75 & 75 - 85 & 85 - 95 N u m b e r o f c i t i e s & 3 & 10 & 11 & 8 & 3 \end{matrix}$

4.

The following table gives the literacy rate (in percentage) of 35 cities. Find the mean literacy rate by step deviation method. Literacy rate (in percentage)45−5555−6565−7575−8585−95Number of cities3101183

Answer»

The following table gives the literacy rate (in percentage) of 35 cities. Find the mean literacy rate by step deviation method.

$\begin{matrix} L i t e r a c y r a t e (i n p e r c e n t a g e) & 45 - 55 & 55 - 65 & 65 - 75 & 75 - 85 & 85 - 95 N u m b e r o f c i t i e s & 3 & 10 & 11 & 8 & 3 \end{matrix}$

Discussion

5.	Find the ratio of surface area of a cuboid to the volume if the length is 2 times of breadth which is 2 times of height which is 2 cm.
Answer» Find the ratio of surface area of a cuboid to the volume if the length is 2 times of breadth which is 2 times of height which is 2 cm.

Discussion

6.	Question 1 (iii) In which of the following situations does the list of numbers involved make an arithmetic progression and why? (iii) The cost of digging a well after every metre of digging, when it costs Rs. 150 for the first metre and rises by Rs. 50 for each subsequent metre.
Answer» Question 1 (iii) In which of the following situations does the list of numbers involved make an arithmetic progression and why? (iii) The cost of digging a well after every metre of digging, when it costs Rs. 150 for the first metre and rises by Rs. 50 for each subsequent metre.

Discussion

7.	Question 5 (ii) Give examples of polynomial p(x), g(x), q(x) and r(x), which satisfy the division algorithm and deg q(x) = deg r(x)
Answer» Question 5 (ii) Give examples of polynomial p(x), g(x), q(x) and r(x), which satisfy the division algorithm and deg q(x) = deg r(x)

7.

Question 5 (ii) Give examples of polynomial p(x), g(x), q(x) and r(x), which satisfy the division algorithm and deg q(x) = deg r(x)

Answer»

Question 5 (ii)
Give examples of polynomial p(x), g(x), q(x) and r(x), which satisfy the division algorithm and

deg q(x) = deg r(x)

Discussion

8.	If α and β are the zeros of the quadratic polynomial f(x)=x2+5x+8, then evaluate: α4+β4 [3 MARKS]
Answer» If $α$ and $β$ are the zeros of the quadratic polynomial $f (x) = x^{2} + 5 x + 8$ , then evaluate: $α^{4} + β^{4}$ [3 MARKS]

Discussion

9.	Which among the given options is one of the factors of x2+x6−16?
Answer» Which among the given options is one of the factors of $x^{2} + \frac{x}{6} - \frac{1}{6}$ ?

Discussion

10.	Write a linear equation in two variables to represent the following information: A person is four times as old as his son. [1 MARK]
Answer» Write a linear equation in two variables to represent the following information: A person is four times as old as his son. [1 MARK]

Discussion

11.	Question 13 By actual division, find the quotient and the remainder when the first polynomial x4+1 is divided by the polynomial (x - 1)
Answer» Question 13 By actual division, find the quotient and the remainder when the first polynomial $x^{4} + 1$ is divided by the polynomial (x - 1)

Discussion

12.	Verify whether x + 3y - 6 = 0 passes through the following points: 1. (0,2) 2. (3,3) 3. (2,4) 4. (4,1) [4 MARKS]
Answer» Verify whether x + 3y - 6 = 0 passes through the following points: 1. (0,2) 2. (3,3) 3. (2,4) 4. (4,1) [4 MARKS]

Discussion

13.	Please help me with this question: Which is a better investment : a stock of 6% for rupees 108 or a stock of 4% at rupees 90.
Answer» Please help me with this question: Which is a better investment : a stock of 6% for rupees 108 or a stock of 4% at rupees 90.

Discussion

14.	Solve the following systems of equations: 3x-7y+10=0 y-2x-3=0
Answer» Solve the following systems of equations: 3x-7y+10=0 y-2x-3=0

14.

Solve the following systems of equations: 3x-7y+10=0 y-2x-3=0

Answer»

Solve the following systems of equations:

3x-7y+10=0

y-2x-3=0

Discussion

15.	PT is a tangent from an external point P and PAB is a secant. If PT = 6cm and PA = 3cm, then the length of PB is __
Answer» PT is a tangent from an external point P and PAB is a secant. If PT = 6cm and PA = 3cm, then the length of PB is __

Discussion

16.	Sum of the first ___ natural numbers is 210.
Answer» Sum of the first ___ natural numbers is 210.

Discussion

17.	Identify the number sequence from the following pattern taking only the smallest square as a unit square.
Answer» Identify the number sequence from the following pattern taking only the smallest square as a unit square.

Discussion

18.	Question 2 (ii) Simplify (3+√3)(3−√3) .
Answer» Question 2 (ii) Simplify $(3 + \sqrt{3}) (3 - \sqrt{3})$ .

Discussion

19.	In a right angled triangle, as shown below, if AB = 3 cm, BC = 4 cm then what is the value of cos A?
Answer» In a right angled triangle, as shown below, if AB = 3 cm, BC = 4 cm then what is the value of cos A?

19.

In a right angled triangle, as shown below, if AB = 3 cm, BC = 4 cm then what is the value of cos A?

Answer»

In a right angled triangle, as shown below, if AB = 3 cm, BC = 4 cm then what is the value of cos A?

Discussion

20.	What is the ratio ACBC for the following construction: A line segment AB is drawn. A single ray is extended from A and 12 arcs of equal lengths are cut, cutting the ray at A1,A2…A12. A line is drawn from A12 to B and a line parallel to A12B is drawn, passing through the point A6 and cutting AB at C.
Answer» What is the ratio $\frac{A C}{B C}$ for the following construction: A line segment AB is drawn. A single ray is extended from A and 12 arcs of equal lengths are cut, cutting the ray at $A_{1}, A_{2} \dots A_{12}$ . A line is drawn from $A_{12}$ to B and a line parallel to $A_{12} B$ is drawn, passing through the point $A_{6}$ and cutting AB at C.

Discussion

21.	To get the wall (8 m × 4 m) as shown in the figure painted, if the cost of painting per square metre is ₹5, then how much will it cost to paint the wall? The dimensions of the door are 2.4 m and 1.2 m.( The door is not to be painted)
Answer» To get the wall (8 m $\times$ 4 m) as shown in the figure painted, if the cost of painting per square metre is ₹5, then how much will it cost to paint the wall? The dimensions of the door are 2.4 m and 1.2 m.( The door is not to be painted)

Discussion

22.	If I ask you to construct △PQR ~ △ABC exactly (when we say exactly, we mean the exact relative positions of the triangles) as given in the figure, (Assuming I give you the dimensions of △ABC and the Scale Factor for △PQR) what additional information would you ask for?
Answer» If I ask you to construct $△ P Q R$ ~ $△ A B C$ exactly (when we say exactly, we mean the exact relative positions of the triangles) as given in the figure, (Assuming I give you the dimensions of $△ A B C$ and the Scale Factor for $△ P Q R$ ) what additional information would you ask for?

22.

If I ask you to construct △PQR ~ △ABC exactly (when we say exactly, we mean the exact relative positions of the triangles) as given in the figure, (Assuming I give you the dimensions of △ABC and the Scale Factor for △PQR) what additional information would you ask for?

Answer»

If I ask you to construct $△ P Q R$ ~ $△ A B C$ exactly (when we say exactly, we mean the exact relative positions of the triangles) as given in the figure, (Assuming I give you the dimensions of $△ A B C$ and the Scale Factor for $△ P Q R$ ) what additional information would you ask for?

Discussion

23.	Evaluate (8a3−27b3)(64x3+y3), where (64x3+y3)≠0.
Answer» Evaluate $\frac{(8 a^{3} - 27 b^{3})}{(64 x^{3} + y^{3})}$ , where $(64 x^{3} + y^{3}) \neq 0$ .

Discussion

24.	If the points A(4, 3) and B(x, 5) lie on the circle with centre O(2, 3), find the value of x.
Answer» If the points A(4, 3) and B(x, 5) lie on the circle with centre O(2, 3), find the value of x.

Discussion

25.	Given that:(1+cos α)(1+cos β)(1+cos γ)=(1−cos α)(1−cos β)(1−cos γ) Show that one of the values of each member of this equality is sin α sin β sin γ
Answer» $Given that : (1 + c o s α) (1 + c o s β) (1 + c o s γ) = (1 - c o s α) (1 - c o s β) (1 - c o s γ)$ Show that one of the values of each member of this equality is $s i n α s i n β s i n γ$

25.

Given that:(1+cos α)(1+cos β)(1+cos γ)=(1−cos α)(1−cos β)(1−cos γ) Show that one of the values of each member of this equality is sin α sin β sin γ

Answer»

$Given that : (1 + c o s α) (1 + c o s β) (1 + c o s γ) = (1 - c o s α) (1 - c o s β) (1 - c o s γ)$

Show that one of the values of each member of this equality is $s i n α s i n β s i n γ$

Discussion

26.	Find the value of k for which the following pair of linear equations have infinitely many solutions: 2x+3y=7,(k−1)x+(k+2)y=3k.
Answer» Find the value of k for which the following pair of linear equations have infinitely many solutions: $2 x + 3 y = 7, (k - 1) x + (k + 2) y = 3 k .$

26.

Find the value of k for which the following pair of linear equations have infinitely many solutions: 2x+3y=7,(k−1)x+(k+2)y=3k.

Answer»

Find the value of k for which the following pair of linear equations have infinitely many solutions:

$2 x + 3 y = 7, (k - 1) x + (k + 2) y = 3 k .$

Discussion

27.	Which of the following is a true statement ? (a) x2+5x−3 is a linear polynomial. (b) x2+4x−1 is a binomial. (c) x+1 is a monomial. (d) 5x3 is a monomial.
Answer» Which of the following is a true statement ? (a) $x^{2} + 5 x - 3$ is a linear polynomial. (b) $x^{2} + 4 x - 1$ is a binomial. (c) x+1 is a monomial. (d) $5 x^{3}$ is a monomial.

27.

Which of the following is a true statement ? (a) x2+5x−3 is a linear polynomial. (b) x2+4x−1 is a binomial. (c) x+1 is a monomial. (d) 5x3 is a monomial.

Answer»

Which of the following is a true statement ?

(a) $x^{2} + 5 x - 3$ is a linear polynomial.

(b) $x^{2} + 4 x - 1$ is a binomial.

(c) x+1 is a monomial.

(d) $5 x^{3}$ is a monomial.

Discussion

28.	A surahi is a combintion of (a) a sphere and a cylinder (b) a hemisphere and a cylinder (c) a cylinder and a cone (d) two hemispheres
Answer» A surahi is a combintion of (a) a sphere and a cylinder (b) a hemisphere and a cylinder (c) a cylinder and a cone (d) two hemispheres

28.

A surahi is a combintion of (a) a sphere and a cylinder (b) a hemisphere and a cylinder (c) a cylinder and a cone (d) two hemispheres

Answer»

A surahi is a combintion of

(a) a sphere and a cylinder

(b) a hemisphere and a cylinder

(c) a cylinder and a cone

(d) two hemispheres

Discussion

29.	If AT=⎡⎢⎣34−1201⎤⎥⎦ and B=[−121123], then find AT−BT
Answer» If $A^{T} = ⎡ ⎢ ⎣ \begin{matrix} 3 & 4 - 1 & 2 0 & 1 \end{matrix} ⎤ ⎥ ⎦ and B = [\begin{matrix} - 1 & 2 & 1 1 & 2 & 3 \end{matrix}]$ , then find $A^{T} - B^{T}$

29.

If AT=⎡⎢⎣34−1201⎤⎥⎦ and B=[−121123], then find AT−BT

Answer»

If $A^{T} = ⎡ ⎢ ⎣ \begin{matrix} 3 & 4 - 1 & 2 0 & 1 \end{matrix} ⎤ ⎥ ⎦ and B = [\begin{matrix} - 1 & 2 & 1 1 & 2 & 3 \end{matrix}]$ ,

then find $A^{T} - B^{T}$

Discussion

30.	If the HCF of 210 and 55 is expressible in the form of 210 ×5 -55y find y
Answer» If the HCF of 210 and 55 is expressible in the form of 210 ×5 -55y find y

Discussion

31.	What is the meaning of n term
Answer» What is the meaning of n term

Discussion

32.	If sinθ+sin2θ=1, then find the value of cos2θ+cos4θ.
Answer» If $s i n θ + s i n^{2} θ = 1$ , then find the value of $c o s^{2} θ + c o s^{4} θ$ .

Discussion

33.	The sum of the digits of a 2 digit number is 13. The number formed by interchanging the digits is 45 more than the original number. Find the original number.
Answer» The sum of the digits of a 2 digit number is 13. The number formed by interchanging the digits is 45 more than the original number. Find the original number.

Discussion

34.	Tangents PA and PB are drawn from an external point P to two concentric circles with centre O and radii 8 cm and 5 cm respectively, as shown in Fig.3. If AP = 15 cm, then find the length of BP.
Answer» Tangents PA and PB are drawn from an external point P to two concentric circles with centre O and radii 8 cm and 5 cm respectively, as shown in Fig.3. If AP = 15 cm, then find the length of BP.

34.

Tangents PA and PB are drawn from an external point P to two concentric circles with centre O and radii 8 cm and 5 cm respectively, as shown in Fig.3. If AP = 15 cm, then find the length of BP.

Answer»

Tangents PA and PB are drawn from an external point P to two concentric circles with centre O and radii 8 cm and 5 cm respectively, as shown in Fig.3. If AP = 15 cm, then find the length of BP.

Discussion

35.	In the given figure, ABCD is a trapezium of area 24.5 cm2. If AD \|\| BC, △DAB=90∘, AD = 10 cm, BC = 4 cm and ABE is quadrant of a circle then find the area of the shaded region.
Answer» In the given figure, ABCD is a trapezium of area 24.5 $c m^{2}$ . If AD \|\| BC, $△ D A B = 90^{\circ}$ , AD = 10 cm, BC = 4 cm and ABE is quadrant of a circle then find the area of the shaded region.

35.

In the given figure, ABCD is a trapezium of area 24.5 cm2. If AD || BC, △DAB=90∘, AD = 10 cm, BC = 4 cm and ABE is quadrant of a circle then find the area of the shaded region.

Answer»

In the given figure, ABCD is a trapezium of area 24.5 $c m^{2}$ . If AD || BC, $△ D A B = 90^{\circ}$ , AD = 10 cm, BC = 4 cm and ABE is quadrant of a circle then find the area of the shaded region.

Discussion

36.	Find the roots of the following quadratic equation: 2√3x2−5x+√3=0
Answer» Find the roots of the following quadratic equation: $2 \sqrt{3} x^{2} - 5 x + \sqrt{3} = 0$

Discussion

37.	Two circle touch externally at a point P. From apoint T on the tangent at P, tangents TQ and TR are drawn to the circles with points of contact Q and R respectively. Prove that TQ =TR.
Answer» Two circle touch externally at a point P. From apoint T on the tangent at P, tangents TQ and TR are drawn to the circles with points of contact Q and R respectively. Prove that TQ =TR.

37.

Two circle touch externally at a point P. From apoint T on the tangent at P, tangents TQ and TR are drawn to the circles with points of contact Q and R respectively. Prove that TQ =TR.

Answer»

Two circle touch externally at a point P. From apoint T on the tangent at P, tangents TQ and TR are drawn to the circles with points of contact Q and R respectively. Prove that TQ =TR.

Discussion

38.	Which of the following should be the LAST sentence after rearrangement?
Answer» Which of the following should be the LAST sentence after rearrangement?

Discussion

39.	In Fig. ABCD is a square of side 2a. Find the ratio between (i) The circumferences (ii) The area of the incircle and the circum-circle of the square.
Answer» In Fig. ABCD is a square of side 2a. Find the ratio between (i) The circumferences (ii) The area of the incircle and the circum-circle of the square.

39.

In Fig. ABCD is a square of side 2a. Find the ratio between (i) The circumferences (ii) The area of the incircle and the circum-circle of the square.

Answer»

In Fig. ABCD is a square of side 2a. Find the ratio between

(i) The circumferences

(ii) The area of the incircle and the circum-circle of the square.

Discussion

40.	Solve x2−3x−5=0 and find its roots.
Answer» Solve $x^{2} - 3 x - 5 = 0$ and find its roots.

Discussion

41.	Abigail buys a new salt cellar in the shape of a cylinder topped by a hemisphere. The cylinder has a diameter of 6 cm and a height of 10 cm. She pours the salt into the salt cellar, such that it takes up half the total volume of the pot. Find the depth of the portion occupied by salt.
Answer» Abigail buys a new salt cellar in the shape of a cylinder topped by a hemisphere. The cylinder has a diameter of 6 cm and a height of 10 cm. She pours the salt into the salt cellar, such that it takes up half the total volume of the pot. Find the depth of the portion occupied by salt.

Discussion

42.	Ascertain the appropriate missing figure by preparing the Cash book for the year 2017-2018, from the following information (Note all transactions are made through cheque). Collections from debtors Rs. 1,51,600, Payment to Creditors Rs. 1,04,400, Bills receivable collected Rs. 48,000, Bills payables discharged Rs. 37,200. Cash sales deposited Rs. 34,400, Cash Purchases Rs. 2,000 (by cheque). Capital introduced on Rs. 10,000, Drawings Rs. 30,000, Commission received Rs. 6,000, Wages paid Rs. 48,000, Salaries paid Rs. 26,000, Rent paid Rs. 17,600, Insurance premium paid Rs. 3,200, Carriage inwards paid Rs. 1,000, Advertising paid Rs. 1,320 Bank balance as at April 1, 2017 Rs 17,400.
Answer» Ascertain the appropriate missing figure by preparing the Cash book for the year 2017-2018, from the following information (Note all transactions are made through cheque). Collections from debtors Rs. 1,51,600, Payment to Creditors Rs. 1,04,400, Bills receivable collected Rs. 48,000, Bills payables discharged Rs. 37,200. Cash sales deposited Rs. 34,400, Cash Purchases Rs. 2,000 (by cheque). Capital introduced on Rs. 10,000, Drawings Rs. 30,000, Commission received Rs. 6,000, Wages paid Rs. 48,000, Salaries paid Rs. 26,000, Rent paid Rs. 17,600, Insurance premium paid Rs. 3,200, Carriage inwards paid Rs. 1,000, Advertising paid Rs. 1,320 Bank balance as at April 1, 2017 Rs 17,400.

42.

Ascertain the appropriate missing figure by preparing the Cash book for the year 2017-2018, from the following information (Note all transactions are made through cheque). Collections from debtors Rs. 1,51,600, Payment to Creditors Rs. 1,04,400, Bills receivable collected Rs. 48,000, Bills payables discharged Rs. 37,200. Cash sales deposited Rs. 34,400, Cash Purchases Rs. 2,000 (by cheque). Capital introduced on Rs. 10,000, Drawings Rs. 30,000, Commission received Rs. 6,000, Wages paid Rs. 48,000, Salaries paid Rs. 26,000, Rent paid Rs. 17,600, Insurance premium paid Rs. 3,200, Carriage inwards paid Rs. 1,000, Advertising paid Rs. 1,320 Bank balance as at April 1, 2017 Rs 17,400.

Answer»

Ascertain the appropriate missing figure by preparing the Cash book for the year 2017-2018, from the following information (Note all transactions are made through cheque).

Collections from debtors Rs. 1,51,600,
Payment to Creditors Rs. 1,04,400,
Bills receivable collected Rs. 48,000,
Bills payables discharged Rs. 37,200.
Cash sales deposited Rs. 34,400,
Cash Purchases Rs. 2,000 (by cheque).
Capital introduced on Rs. 10,000,
Drawings Rs. 30,000,
Commission received Rs. 6,000,
Wages paid Rs. 48,000,
Salaries paid Rs. 26,000,
Rent paid Rs. 17,600,
Insurance premium paid Rs. 3,200,
Carriage inwards paid Rs. 1,000,
Advertising paid Rs. 1,320
Bank balance as at April 1, 2017 Rs 17,400.

Discussion

43.	Find the sum of first 8 multiple of 3
Answer» Find the sum of first 8 multiple of 3

Discussion

44.	In a right triangle PQR, right angled at Q. X and Y are the points on PQ and QR such that PX : XQ = 1 : 2 and QY : YR = 2 : 1. Prove that 9(PY2+XR2)=13PR2.
Answer» In a right triangle PQR, right angled at Q. X and Y are the points on PQ and QR such that PX : XQ = 1 : 2 and QY : YR = 2 : 1. Prove that 9(PY2+XR2)=13PR2.

Discussion

45.	Your elder brother is 22/7 times your age on 22nd April 2012 . Assuming that you both live long enough , when ( at what date) will he again be 22/7 times your age.
Answer» Your elder brother is 22/7 times your age on 22nd April 2012 . Assuming that you both live long enough , when ( at what date) will he again be 22/7 times your age.

Discussion

46.	1.A two digit number is four times the sum and three time the product of its digits .find the numbers. 2.if the sum of first n even natural number is 420.find the value of n. 3.A chess board contains 64equal squares and the area of each square is 6.25cm².a border round the board is 2cm wide. Find the length of the side of the chess board.
Answer» 1.A two digit number is four times the sum and three time the product of its digits .find the numbers. 2.if the sum of first n even natural number is 420.find the value of n. 3.A chess board contains 64equal squares and the area of each square is 6.25cm².a border round the board is 2cm wide. Find the length of the side of the chess board.

46.

1.A two digit number is four times the sum and three time the product of its digits .find the numbers. 2.if the sum of first n even natural number is 420.find the value of n. 3.A chess board contains 64equal squares and the area of each square is 6.25cm².a border round the board is 2cm wide. Find the length of the side of the chess board.

Answer»

1.A two digit number is four times the sum and three time the product of its digits .find the numbers.

2.if the sum of first n even natural number is 420.find the value of n.

3.A chess board contains 64equal squares and the area of each square is 6.25cm².a border round the board is 2cm wide. Find the length of the side of the chess board.

Discussion

47.	Identify which among the pieces given below will not be required to complete a pentagon?
Answer» Identify which among the pieces given below will not be required to complete a pentagon?

Discussion

48.	In Δ ABC, AB= AC. P is the mid point of AB and Q is the mid point of AC then:-
Answer» In $Δ$ ABC, AB= AC. P is the mid point of AB and Q is the mid point of AC then:-

48.

In Δ ABC, AB= AC. P is the mid point of AB and Q is the mid point of AC then:-

Answer»

In $Δ$ ABC, AB= AC. P is the mid point of AB and Q is the mid point of AC then:-

Discussion

49.	The number of terms in an AP is 10. The nth term of this AP is 50 and the common difference is 2. Find the first term.
Answer» The number of terms in an AP is 10. The $n^{t h}$ term of this AP is 50 and the common difference is 2. Find the first term.

Discussion

50.	Some households in a society are sorted according to their electricity usage and given in the table below : Usage of electricity (units)No. of households80−90490−1006100−1105110−1208120−1307130−1403 Find the median usage
Answer» Some households in a society are sorted according to their electricity usage and given in the table below : $\begin{matrix} Usage of electricity (units) & No. of households 80 - 90 & 4 90 - 100 & 6 100 - 110 & 5 110 - 120 & 8 120 - 130 & 7 130 - 140 & 3 \end{matrix}$ Find the median usage

50.

Some households in a society are sorted according to their electricity usage and given in the table below : Usage of electricity (units)No. of households80−90490−1006100−1105110−1208120−1307130−1403 Find the median usage

Answer»

Some households in a society are sorted according to their electricity usage and given in the table below :

$\begin{matrix} Usage of electricity (units) & No. of households 80 - 90 & 4 90 - 100 & 6 100 - 110 & 5 110 - 120 & 8 120 - 130 & 7 130 - 140 & 3 \end{matrix}$

Find the median usage

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

If x=r sinα cosβ,y=r sinα sinβ and z=rcosα, then

Miss. Kinnari deposits Rs 500 each month in a recurring deposit for 2 years at 5% p.a. At maturity, she transfers the proceeds to a fixed deposit account for 1 year, the interest being compounded half-yearly at the rate of 8% p.a. Find how much money the man earns by interest in all.

A hemispherical cup of radius 4 cm is filled to the brim with coffee. The coffee is then poured into a vertical cone of radius 8 cm and height 16 cm. What percentage of the cone remains empty?

The following table gives the literacy rate (in percentage) of 35 cities. Find the mean literacy rate by step deviation method. Literacy rate (in percentage)45−5555−6565−7575−8585−95Number of cities3101183

Find the ratio of surface area of a cuboid to the volume if the length is 2 times of breadth which is 2 times of height which is 2 cm.

Question 1 (iii) In which of the following situations does the list of numbers involved make an arithmetic progression and why? (iii) The cost of digging a well after every metre of digging, when it costs Rs. 150 for the first metre and rises by Rs. 50 for each subsequent metre.

Question 5 (ii) Give examples of polynomial p(x), g(x), q(x) and r(x), which satisfy the division algorithm and deg q(x) = deg r(x)

If α and β are the zeros of the quadratic polynomial f(x)=x2+5x+8, then evaluate: α4+β4 [3 MARKS]

Which among the given options is one of the factors of x2+x6−16?

Write a linear equation in two variables to represent the following information: A person is four times as old as his son. [1 MARK]

Question 13 By actual division, find the quotient and the remainder when the first polynomial x4+1 is divided by the polynomial (x - 1)

Verify whether x + 3y - 6 = 0 passes through the following points: 1. (0,2) 2. (3,3) 3. (2,4) 4. (4,1) [4 MARKS]

Please help me with this question: Which is a better investment : a stock of 6% for rupees 108 or a stock of 4% at rupees 90.

Solve the following systems of equations: 3x-7y+10=0 y-2x-3=0

PT is a tangent from an external point P and PAB is a secant. If PT = 6cm and PA = 3cm, then the length of PB is __

Sum of the first ___ natural numbers is 210.

Identify the number sequence from the following pattern taking only the smallest square as a unit square.

Question 2 (ii) Simplify (3+√3)(3−√3) .

In a right angled triangle, as shown below, if AB = 3 cm, BC = 4 cm then what is the value of cos A?

To get the wall (8 m × 4 m) as shown in the figure painted, if the cost of painting per square metre is ₹5, then how much will it cost to paint the wall? The dimensions of the door are 2.4 m and 1.2 m.( The door is not to be painted)

If I ask you to construct △PQR ~ △ABC exactly (when we say exactly, we mean the exact relative positions of the triangles) as given in the figure, (Assuming I give you the dimensions of △ABC and the Scale Factor for △PQR) what additional information would you ask for? ​

Evaluate (8a3−27b3)(64x3+y3), where (64x3+y3)≠0.

If the points A(4, 3) and B(x, 5) lie on the circle with centre O(2, 3), find the value of x.

Given that:(1+cos α)(1+cos β)(1+cos γ)=(1−cos α)(1−cos β)(1−cos γ) Show that one of the values of each member of this equality is sin α sin β sin γ

Find the value of k for which the following pair of linear equations have infinitely many solutions: 2x+3y=7,(k−1)x+(k+2)y=3k.

Which of the following is a true statement ? (a) x2+5x−3 is a linear polynomial. (b) x2+4x−1 is a binomial. (c) x+1 is a monomial. (d) 5x3 is a monomial.

A surahi is a combintion of (a) a sphere and a cylinder (b) a hemisphere and a cylinder (c) a cylinder and a cone (d) two hemispheres

If AT=⎡⎢⎣34−1201⎤⎥⎦ and B=[−121123], then find AT−BT

If the HCF of 210 and 55 is expressible in the form of 210 ×5 -55y find y

What is the meaning of n term

If sinθ+sin2θ=1, then find the value of cos2θ+cos4θ.

The sum of the digits of a 2 digit number is 13. The number formed by interchanging the digits is 45 more than the original number. Find the original number.

Tangents PA and PB are drawn from an external point P to two concentric circles with centre O and radii 8 cm and 5 cm respectively, as shown in Fig.3. If AP = 15 cm, then find the length of BP.

In the given figure, ABCD is a trapezium of area 24.5 cm2. If AD || BC, △DAB=90∘, AD = 10 cm, BC = 4 cm and ABE is quadrant of a circle then find the area of the shaded region.

Find the roots of the following quadratic equation: 2√3x2−5x+√3=0

Two circle touch externally at a point P. From apoint T on the tangent at P, tangents TQ and TR are drawn to the circles with points of contact Q and R respectively. Prove that TQ =TR.

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

In Fig. ABCD is a square of side 2a. Find the ratio between (i) The circumferences (ii) The area of the incircle and the circum-circle of the square.

Solve x2−3x−5=0 and find its roots.

Abigail buys a new salt cellar in the shape of a cylinder topped by a hemisphere. The cylinder has a diameter of 6 cm and a height of 10 cm. She pours the salt into the salt cellar, such that it takes up half the total volume of the pot. Find the depth of the portion occupied by salt.

Find the sum of first 8 multiple of 3

In a right triangle PQR, right angled at Q. X and Y are the points on PQ and QR such that PX : XQ = 1 : 2 and QY : YR = 2 : 1. Prove that 9(PY2+XR2)=13PR2.

Your elder brother is 22/7 times your age on 22nd April 2012 . Assuming that you both live long enough , when ( at what date) will he again be 22/7 times your age.

Identify which among the pieces given below will not be required to complete a pentagon?

In Δ ABC, AB= AC. P is the mid point of AB and Q is the mid point of AC then:-

The number of terms in an AP is 10. The nth term of this AP is 50 and the common difference is 2. Find the first term.

Some households in a society are sorted according to their electricity usage and given in the table below : Usage of electricity (units)No. of households80−90490−1006100−1105110−1208120−1307130−1403 Find the median usage

If I ask you to construct △PQR ~ △ABC exactly (when we say exactly, we mean the exact relative positions of the triangles) as given in the figure, (Assuming I give you the dimensions of △ABC and the Scale Factor for △PQR) what additional information would you ask for?