25365 + Interview Questions in Mathematics Page 40 InterviewSolution

1951.	A basket contains four types of fruits weighing 20 kg in all. If 19/4 kg of these are apples, 37/6 kg are oranges, 27/5 pears and the rest are papayas. What is the weight of the papayas in the basket?
Answer» A basket contains four types of fruits weighing 20 kg in all. If 19/4 kg of these are apples, 37/6 kg are oranges, 27/5 pears and the rest are papayas. What is the weight of the papayas in the basket?

Discussion

1952.	Fill inthe blanks.(i) Zerohas __________ reciprocal.(ii) Thenumbers __________ and __________ are their own reciprocals(iii) Thereciprocal of − 5 is __________.(iv) Reciprocalof,where is__________.(v) Theproduct of two rational numbers is always a __________.(vi) Thereciprocal of a positive rational number is __________.
Answer» Fill in the blanks. (i) Zero has __________ reciprocal. (ii) The numbers __________ and __________ are their own reciprocals (iii) The reciprocal of − 5 is __________. (iv) Reciprocal of, where is __________. (v) The product of two rational numbers is always a __________. (vi) The reciprocal of a positive rational number is __________.

1952.

Fill inthe blanks.(i) Zerohas reciprocal.(ii) Thenumbers and are their own reciprocals(iii) Thereciprocal of − 5 is .(iv) Reciprocalof,where is.(v) Theproduct of two rational numbers is always a .(vi) Thereciprocal of a positive rational number is __.

Answer»

Fill in
the blanks.

(i) Zero
has __________ reciprocal.

(ii) The
numbers __________ and __________ are their own reciprocals

(iii) The
reciprocal of − 5 is __________.

(iv) Reciprocal
of,
where
is
__________.

(v) The
product of two rational numbers is always a __________.

(vi) The
reciprocal of a positive rational number is __________.

Discussion

1953.	A path of uniform width, 2.5 m, runs around the inside of a rectangular field 30 m by 27 m. Find the area of the path.
Answer» A path of uniform width, 2.5 m, runs around the inside of a rectangular field 30 m by 27 m. Find the area of the path.

Discussion

1954.	What do you mean by Abscissa and Ordinate? Find the Abscissa and Ordinate of (1,2) and (2,1).
Answer» What do you mean by Abscissa and Ordinate? Find the Abscissa and Ordinate of (1,2) and (2,1).

Discussion

1955.	Question 1(v) Carry out the following divisions. 12a8b8÷(−6a6b4)
Answer» Question 1(v) Carry out the following divisions. $12 a^{8} b^{8} \div (- 6 a^{6} b^{4})$

Discussion

1956.	The perimeter of a rectangle is 240 cm. If it's length is decreased by 10% and breadth is increased by 20% we get the same perimeter. Find the original length and breadth of the rectangle.
Answer» The perimeter of a rectangle is 240 cm. If it's length is decreased by 10% and breadth is increased by 20% we get the same perimeter. Find the original length and breadth of the rectangle.

Discussion

1957.	Factorise the given expression: ab(x2+y2)+xy(a2+b2)
Answer» $Factorise the given expression: a b (x^{2} + y^{2}) + x y (a^{2} + b^{2})$

Discussion

1958.	Physical law can not be proved, it can be verified only. What is the difference between prove and verify?
Answer» Physical law can not be proved, it can be verified only. What is the difference between prove and verify?

Discussion

1959.	Which of the following expressions are trinomials?
Answer» Which of the following expressions are trinomials?

Discussion

1960.	In the method of regrouping, we ________ .
Answer» In the method of regrouping, we ________ .

Discussion

1961.	30 tom) of61 The intercept on y-axis and slope of curve plotted between P/T vs.T(For an ideal gas having 10 moles in a closed rigid container of volume 8.21 L (P = Pressure in atm and T Temp. in K, log 10 2 0.30)) are respectively:(a) 001, 0(d) 10. 1(b) 0.1, 0(c) 0.1, 1
Answer» 30 tom) of61 The intercept on y-axis and slope of curve plotted between P/T vs.T(For an ideal gas having 10 moles in a closed rigid container of volume 8.21 L (P = Pressure in atm and T Temp. in K, log 10 2 0.30)) are respectively:(a) 001, 0(d) 10. 1(b) 0.1, 0(c) 0.1, 1

Discussion

1962.	Solve the following equations and verify your answer : 3x+52x+7=4
Answer» Solve the following equations and verify your answer : $\frac{3 x + 5}{2 x + 7} = 4$

1962.

Solve the following equations and verify your answer : 3x+52x+7=4

Answer»

Solve the following equations and verify your answer :

$\frac{3 x + 5}{2 x + 7} = 4$

Discussion

1963.	Match the quadrilaterals with their required parameters to construct.
Answer» Match the quadrilaterals with their required parameters to construct.

Discussion

1964.	Question 5 (ii)State the name of a regular polygon of:(ii) 4 sides
Answer» Question 5 (ii) State the name of a regular polygon of: (ii) 4 sides

Discussion

1965.	Find the values of p, q, r and s in the given cumulative frequency distribution. DataPointfrequencyCumulative frequency103p=−−−−1510q=−−−−2025r=−−−−257s=−−−−30550
Answer» Find the values of p, q, r and s in the given cumulative frequency distribution. $\begin{matrix} D a t a P o i n t & frequency & Cumulative frequency 10 & 3 & p = - - - - 15 & 10 & q = - - - - 20 & 25 & r = - - - - 25 & 7 & s = - - - - 30 & 5 & 50 \end{matrix}$

Discussion

1966.	Find the quotient when 94 - 49 is divided by (i) 9 (ii) 5
Answer» Find the quotient when 94 - 49 is divided by (i) 9 (ii) 5

1966.

Find the quotient when 94 - 49 is divided by (i) 9 (ii) 5

Answer»

Find the quotient when 94 - 49 is divided by

(i) 9 (ii) 5

Discussion

1967.	Find the volume, lateral surface area and the total surface area of a cube each of whose 14c edges measures: (i) 7 m (ii) 5.6 cm (iii) 8 dm 5 cm
Answer» Find the volume, lateral surface area and the total surface area of a cube each of whose 14c edges measures: (i) 7 m (ii) 5.6 cm (iii) 8 dm 5 cm

1967.

Find the volume, lateral surface area and the total surface area of a cube each of whose 14c edges measures: (i) 7 m (ii) 5.6 cm (iii) 8 dm 5 cm

Answer»

Find the volume, lateral surface area and the total surface area of a cube each of whose 14c edges measures:

(i) 7 m

(ii) 5.6 cm

(iii) 8 dm 5 cm

Discussion

1968.	The dimensions of a hall are 10m× 7m× 5m. If the density of air is 1.11 kgm−3, find the mass of air in the hall.
Answer» The dimensions of a hall are $10 m \times$ $7 m \times$ $5 m$ . If the density of air is 1.11 kg $m^{-} 3$ , find the mass of air in the hall.

Discussion

1969.	Factorise: x2+14x2+1−7x−72x
Answer» Factorise: $x^{2} + \frac{1}{4 x^{2}} + 1 - 7 x - \frac{7}{2 x}$

1969.

Factorise: x2+14x2+1−7x−72x

Answer»

Factorise:

$x^{2} + \frac{1}{4 x^{2}} + 1 - 7 x - \frac{7}{2 x}$

Discussion

1970.	Construct Δ XYZ in which XY = 4.5 cm, YZ = 5 cm and ZX = 6 cm.
Answer» Construct $Δ$ XYZ in which XY = 4.5 cm, YZ = 5 cm and ZX = 6 cm.

Discussion

1971.	Solve for x = 6.(45x−4)(5−4×102×x−8)
Answer» Solve for x = 6. $\frac{(45 x^{- 4})}{(5^{- 4} \times 10^{2} \times x^{- 8})}$

Discussion

1972.	In the given figure, A, B, C and D are four points on a circle. AC and BD intersect at a point E such that ∠BEC=130∘ and ∠ECD=20∘. ∠BAC is
Answer» In the given figure, $A$ , $B$ , $C$ and $D$ are four points on a circle. $AC$ and $BD$ intersect at a point $E$ such that $∠ BEC = 130^{\circ}$ and $∠ ECD = 20^{\circ}$ . $∠ BAC$ is

Discussion

1973.	At equilibrium(a) E^ocell=0,△ G^o=0(b) Ecell=0,△ G=0(c)Both (a) and (b
Answer» At equilibrium(a) E^ocell=0,△ G^o=0(b) Ecell=0,△ G=0(c)Both (a) and (b

Discussion

1974.	~(p∨~q)≅___________________.
Answer» $~ (p \lor ~ q) ≅___________________.$

Discussion

1975.	Which of the following prefixes mean ‘absent’ or ‘away from’?
Answer» Which of the following prefixes mean ‘absent’ or ‘away from’?

Discussion

1976.	a fish is a little away below the surface of a lake. if the critical angle is 49^°, then the fish could see things above things above the water surface within an angular range of 1)θ=49^° 2)θ=90^° 3)θ=98^° 4)θ=24.5
Answer» a fish is a little away below the surface of a lake. if the critical angle is 49^°, then the fish could see things above things above the water surface within an angular range of 1)θ=49^° 2)θ=90^° 3)θ=98^° 4)θ=24.5

Discussion

1977.	If sum of two smallest factors and two largest factors of a number N are 5 and 90 respectively, then find the value of N.
Answer» If sum of two smallest factors and two largest factors of a number N are 5 and 90 respectively, then find the value of N.

Discussion

1978.	What is factorisation?
Answer» What is factorisation?

Discussion

1979.	The Length breadth and height of a room are 5 metre 4 m 3 M respectively . find the cost of white washing the inner of the room and ceiling at the rate of rupees 50 per square metre
Answer» The Length breadth and height of a room are 5 metre 4 m 3 M respectively . find the cost of white washing the inner of the room and ceiling at the rate of rupees 50 per square metre

Discussion

1980.	If 50 pencils can be bought for Rs. 20, then how many pencils can be bought for Rs. 32?
Answer» If 50 pencils can be bought for Rs. 20, then how many pencils can be bought for Rs. 32?

Discussion

1981.	How many positive rational numbers less than 1 are there such that the sum of the numerator and denominator does not exceed 10?
Answer» How many positive rational numbers less than 1 are there such that the sum of the numerator and denominator does not exceed 10?

1981.

How many positive rational numbers less than 1 are there such that the sum of the numerator and denominator does not exceed 10?

Answer»

How many positive rational numbers less than 1 are there such that the sum of the numerator and denominator does not exceed 10?

Discussion

1982.	The common difference for the arithmetic progression3+2√2, 3+4√2, 3+6√2, 3+8√2 is
Answer» The common difference for the arithmetic progression $3 + 2 \sqrt{2}, 3 + 4 \sqrt{2}, 3 + 6 \sqrt{2}, 3 + 8 \sqrt{2}$ is

Discussion

1983.	If x²+4y²=4xy,find x:y
Answer» If x²+4y²=4xy,find x:y

Discussion

1984.	The number of values of the triplet (a,b,c) for which acos2x + bsin2x + c = 0 is satisfied by all real x is : A. 0 B. 2 C. 3 D. Infinite
Answer» The number of values of the triplet (a,b,c) for which acos2x + bsin²x + c = 0 is satisfied by all real x is : A. 0 B. 2 C. 3 D. Infinite

1984.

The number of values of the triplet (a,b,c) for which acos2x + bsin2x + c = 0 is satisfied by all real x is : A. 0 B. 2 C. 3 D. Infinite

Answer»

The number of values of the triplet (a,b,c) for which

acos2x + bsin²x + c = 0

is satisfied by all real x is :

A. 0

B. 2

C. 3

D. Infinite

Discussion

1985.	A swimming pool is 260 m long and 140 m wide. If 54600 cubic metres of water Is pumped into it, find the height of the water level in it.
Answer» A swimming pool is 260 m long and 140 m wide. If 54600 cubic metres of water Is pumped into it, find the height of the water level in it.

Discussion

1986.	Parallelogram with adjacent sides 6.5 centimetres and 4 centimetres, angle between them 45°.
Answer» Parallelogram with adjacent sides 6.5 centimetres and 4 centimetres, angle between them 45°.

1986.

Parallelogram with adjacent sides 6.5 centimetres and 4 centimetres, angle between them 45°.

Answer»

Parallelogram with adjacent sides 6.5 centimetres and 4 centimetres, angle between them 45°.

Discussion

1987.	Question 20Find and correct the errors in the statement: 4x+54x=5
Answer» Question 20 Find and correct the errors in the statement: $\frac{4 x + 5}{4 x} = 5$

Discussion

1988.	Question 53(vii)The graph given below shows the marks obtained out of 10 by Sonia in two different tests. Study the graph and answer the questions that follow.In which subject and which test did she score full marks?
Answer» Question 53(vii) The graph given below shows the marks obtained out of 10 by Sonia in two different tests. Study the graph and answer the questions that follow. In which subject and which test did she score full marks?

Discussion

1989.	Question 72Find the perimeter of the given figure.
Answer» Question 72 Find the perimeter of the given figure.

1989.

Question 72Find the perimeter of the given figure.

Answer»

Question 72

Find the perimeter of the given figure.

Discussion

1990.	Area of the following general quadrilateral is:
Answer» Area of the following general quadrilateral is:

1990.

Area of the following general quadrilateral is:

Answer»

Area of the following general quadrilateral is:

Discussion

1991.	A polyhedron with 20 vertices and 30 faces has ___ edges.
Answer» A polyhedron with 20 vertices and 30 faces has ___ edges.

Discussion

1992.	Show that the solution set of the following system of linear inequalities is an unbounded region: 2x+y≥8, x+2y≥10, x≥0, y≥0.
Answer» Show that the solution set of the following system of linear inequalities is an unbounded region: $2 x + y \geq 8, x + 2 y \geq 10, x \geq 0, y \geq 0$ .

Discussion

1993.	Let and be two parallel lines and be a transversal. Show that the angle bisectors of a pair of two internal angles on the same side of the transversal are perpendicular to each other.
Answer» Let and be two parallel lines and be a transversal. Show that the angle bisectors of a pair of two internal angles on the same side of the transversal are perpendicular to each other.

Discussion

1994.	What has to be added to (a +b) to get (3a +2b)?
Answer» What has to be added to (a +b) to get (3a +2b)?

Discussion

1995.	If the area of a sector is one fourth of the area of the circle, then the angle of the sector is:
Answer» If the area of a sector is one fourth of the area of the circle, then the angle of the sector is:

Discussion

1996.	Find the value of 'x'. (i) 4x+5=25(ii) x−213=512(iii) (7x+8)÷7=8
Answer» Find the value of ' $x$ '. (i) $4 x + 5 = 25$ (ii) $x - 2 \frac{1}{3} = 5 \frac{1}{2}$ (iii) $(7 x + 8) \div 7 = 8$

Discussion

1997.	Puja is the owner of a farm as shown in the figure. She goes to the market to buy the fence wire for the field. Calculate the minimum length of the wire to be bought by Puja so that the entire farm is covered. (All dimensions are in m)
Answer» Puja is the owner of a farm as shown in the figure. She goes to the market to buy the fence wire for the field. Calculate the minimum length of the wire to be bought by Puja so that the entire farm is covered. (All dimensions are in m)

1997.

Puja is the owner of a farm as shown in the figure. She goes to the market to buy the fence wire for the field. Calculate the minimum length of the wire to be bought by Puja so that the entire farm is covered. (All dimensions are in m)

Answer»

Puja is the owner of a farm as shown in the figure. She goes to the market to buy the fence wire for the field. Calculate the minimum length of the wire to be bought by Puja so that the entire farm is covered. (All dimensions are in m)

Discussion

1998.	19. 3 men and 6 boys can together finish a work in 3 days , while 1 man and 1 boy can finish it in 12 days . Find the time taken by 1 man alone to finish the work .
Answer» 19. 3 men and 6 boys can together finish a work in 3 days , while 1 man and 1 boy can finish it in 12 days . Find the time taken by 1 man alone to finish the work .

Discussion

1999.	The surface area of the given below figure having dimension in cm as shown is Hint: Add individual areas of cone and cylinder
Answer» The surface area of the given below figure having dimension in cm as shown is Hint: Add individual areas of cone and cylinder

Discussion

2000.	48. The rational number lying between 7 and 8 is HOW TO DO
Answer» 48. The rational number lying between 7 and 8 is HOW TO DO

Discussion

Explore topic-wise InterviewSolutions in .

A basket contains four types of fruits weighing 20 kg in all. If 19/4 kg of these are apples, 37/6 kg are oranges, 27/5 pears and the rest are papayas. What is the weight of the papayas in the basket?

A path of uniform width, 2.5 m, runs around the inside of a rectangular field 30 m by 27 m. Find the area of the path.

What do you mean by Abscissa and Ordinate? Find the Abscissa and Ordinate of (1,2) and (2,1).

Question 1(v) Carry out the following divisions. 12a8b8÷(−6a6b4)

The perimeter of a rectangle is 240 cm. If it's length is decreased by 10% and breadth is increased by 20% we get the same perimeter. Find the original length and breadth of the rectangle.

Factorise the given expression: ab(x2+y2)+xy(a2+b2)

Physical law can not be proved, it can be verified only. What is the difference between prove and verify?

Which of the following expressions are trinomials?

In the method of regrouping, we ________ .

30 tom) of61 The intercept on y-axis and slope of curve plotted between P/T vs.T(For an ideal gas having 10 moles in a closed rigid container of volume 8.21 L (P = Pressure in atm and T Temp. in K, log 10 2 0.30)) are respectively:(a) 001, 0(d) 10. 1(b) 0.1, 0(c) 0.1, 1

Solve the following equations and verify your answer : 3x+52x+7=4

Match the quadrilaterals with their required parameters to construct.

Question 5 (ii)State the name of a regular polygon of:(ii) ​4 sides

Find the values of p, q, r and s in the given cumulative frequency distribution. DataPointfrequencyCumulative frequency103p=−−−−1510q=−−−−2025r=−−−−257s=−−−−30550

Find the quotient when 94 - 49 is divided by (i) 9 (ii) 5

Find the volume, lateral surface area and the total surface area of a cube each of whose 14c edges measures: (i) 7 m (ii) 5.6 cm (iii) 8 dm 5 cm

The dimensions of a hall are 10m× 7m× 5m. If the density of air is 1.11 kgm−3, find the mass of air in the hall.

Factorise: x2+14x2+1−7x−72x

Construct Δ XYZ in which XY = 4.5 cm, YZ = 5 cm and ZX = 6 cm.

Solve for x = 6.(45x−4)(5−4×102×x−8)

In the given figure, A, B, C and D are four points on a circle. AC and BD intersect at a point E such that ∠BEC=130∘ and ∠ECD=20∘. ∠BAC is

At equilibrium(a) E^ocell=0,△ G^o=0(b) Ecell=0,△ G=0(c)Both (a) and (b

~(p∨~q)≅___________________.

Which of the following prefixes mean ‘absent’ or ‘away from’?

a fish is a little away below the surface of a lake. if the critical angle is 49^°, then the fish could see things above things above the water surface within an angular range of 1)θ=49^° 2)θ=90^° 3)θ=98^° 4)θ=24.5

If sum of two smallest factors and two largest factors of a number N are 5 and 90 respectively, then find the value of N.

What is factorisation?

The Length breadth and height of a room are 5 metre 4 m 3 M respectively . find the cost of white washing the inner of the room and ceiling at the rate of rupees 50 per square metre

If 50 pencils can be bought for Rs. 20, then how many pencils can be bought for Rs. 32?

How many positive rational numbers less than 1 are there such that the sum of the numerator and denominator does not exceed 10?

The common difference for the arithmetic progression3+2√2, 3+4√2, 3+6√2, 3+8√2 is

If x²+4y²=4xy,find x:y

The number of values of the triplet (a,b,c) for which acos2x + bsin2x + c = 0 is satisfied by all real x is : A. 0 B. 2 C. 3 D. Infinite

A swimming pool is 260 m long and 140 m wide. If 54600 cubic metres of water Is pumped into it, find the height of the water level in it.

Parallelogram with adjacent sides 6.5 centimetres and 4 centimetres, angle between them 45°.

Question 20Find and correct the errors in the statement: 4x+54x=5

Question 53(vii)The graph given below shows the marks obtained out of 10 by Sonia in two different tests. Study the graph and answer the questions that follow.In which subject and which test did she score full marks?

Question 72Find the perimeter of the given figure.

Area of the following general quadrilateral is:

A polyhedron with 20 vertices and 30 faces has ___ edges.

Show that the solution set of the following system of linear inequalities is an unbounded region: 2x+y≥8, x+2y≥10, x≥0, y≥0.

Let and be two parallel lines and be a transversal. Show that the angle bisectors of a pair of two internal angles on the same side of the transversal are perpendicular to each other.

What has to be added to (a +b) to get (3a +2b)?

If the area of a sector is one fourth of the area of the circle, then the angle of the sector is:

Find the value of 'x'. (i) 4x+5=25(ii) x−213=512(iii) (7x+8)÷7=8

Puja is the owner of a farm as shown in the figure. She goes to the market to buy the fence wire for the field. Calculate the minimum length of the wire to be bought by Puja so that the entire farm is covered. (All dimensions are in m)

19. 3 men and 6 boys can together finish a work in 3 days , while 1 man and 1 boy can finish it in 12 days . Find the time taken by 1 man alone to finish the work .

The surface area of the given below figure having dimension in cm as shown is Hint: Add individual areas of cone and cylinder

48. The rational number lying between 7 and 8 is HOW TO DO

Question 5 (ii)State the name of a regular polygon of:(ii) 4 sides