24740 + Interview Questions in Mathematics

1.	A model of a ship is made to a scale of 1:250. Find the length of the ship, if the length of the model is 1.6 m.
Answer» A model of a ship is made to a scale of 1:250. Find the length of the ship, if the length of the model is 1.6 m.

Discussion

2.	BD and CE are bisectors of ∠B and ∠C of an isosceles ΔABC with AB = AC. Prove that BD = CE.
Answer» BD and CE are bisectors of ∠B and ∠C of an isosceles ΔABC with AB = AC. Prove that BD = CE.

Discussion

3.	Express the following rational numbers as decimals:(i) 42100(ii) 327500(iii) 154
Answer» Express the following rational numbers as decimals: (i) $\frac{42}{100}$ (ii) $\frac{327}{500}$ (iii) $\frac{15}{4}$

Discussion

4.	There are two identical cubes. Out of one cube, a sphere of maximum volume (VS) is cut out. Out of the second cube, a cone of maximum volume (VC) is cut such that its base lies on one of the faces of the cube. Which one of the following is correct?
Answer» There are two identical cubes. Out of one cube, a sphere of maximum volume (V_S) is cut out. Out of the second cube, a cone of maximum volume (V_C) is cut such that its base lies on one of the faces of the cube. Which one of the following is correct?

Discussion

5.	A closed cylindrical tank of radius 7 m and height 3 m is made from a sheet of metal. How much sheet of metal is required?
Answer» A closed cylindrical tank of radius 7 m and height 3 m is made from a sheet of metal. How much sheet of metal is required?

Discussion

6.

Prepare a continuous series from the following data:

Answer»

Prepare a continuous series from the following data:

Discussion

7.	Question 54State whether the following statement is true or false:The areas of any two faces of a cuboid are equal.
Answer» Question 54 State whether the following statement is true or false: ****The areas of any two faces of a cuboid are equal.

7.

Question 54State whether the following statement is true or false:The areas of any two faces of a cuboid are equal.

Answer»

Question 54

State whether the following statement is true or false:

The areas of any two faces of a cuboid are equal.

Discussion

8.	Using factor theorem, factorize each of the following polynomials x3−6x2 + 3x + 10
Answer» Using factor theorem, factorize each of the following polynomials $x^{3} - 6 x^{2}$ + 3x + 10

8.

Using factor theorem, factorize each of the following polynomials x3−6x2 + 3x + 10

Answer»

Using factor theorem, factorize each of the following polynomials

$x^{3} - 6 x^{2}$ + 3x + 10

Discussion

9.	The given figure shows rhombus MNOP. Diagonals MO and NP of the rhombus intersect at point X. It is also given that diagonal MO measures 48 cm and NX = 10 cm. What is the length of each side of the rhombus?
Answer» The given figure shows rhombus MNOP. Diagonals MO and NP of the rhombus intersect at point X. It is also given that diagonal MO measures 48 cm and NX = 10 cm. What is the length of each side of the rhombus?

9.

The given figure shows rhombus MNOP. Diagonals MO and NP of the rhombus intersect at point X. It is also given that diagonal MO measures 48 cm and NX = 10 cm. What is the length of each side of the rhombus?

Answer»

The given figure shows rhombus MNOP. Diagonals MO and NP of the rhombus intersect at point X. It is also given that diagonal MO measures 48 cm and NX = 10 cm.

What is the length of each side of the rhombus?

Discussion

10.	Factorise: x2+1235x+135
Answer» Factorise: $x^{2} + \frac{12}{35} x + \frac{1}{35}$

Discussion

11.	If (23)2 is 2x, what is x?
Answer» If ${(2^{3})}^{2}$ is $2^{x}$ , what is x?

Discussion

12.	69. a particle is projected with velocity 20m/s so that it just clear two walls of equal height 10m which are at a distance 20m from each other the time of passing between the walls is
Answer» 69. a particle is projected with velocity 20m/s so that it just clear two walls of equal height 10m which are at a distance 20m from each other the time of passing between the walls is

Discussion

13.	Find the mode of the following data set.1, 2, 6, 9, 5, 9, 4, 18, 14, 2, 8, 11, 7
Answer» Find the mode of the following data set. 1, 2, 6, 9, 5, 9, 4, 18, 14, 2, 8, 11, 7

13.

Find the mode of the following data set.1, 2, 6, 9, 5, 9, 4, 18, 14, 2, 8, 11, 7

Answer»

Find the mode of the following data set.

1, 2, 6, 9, 5, 9, 4, 18, 14, 2, 8, 11, 7

Discussion

14.	Which of the following points on a graph would the line x+5y=7 pass through?
Answer» Which of the following points on a graph would the line $x + 5 y = 7$ pass through?

Discussion

15.	Using Euclid's division lemma, find the HCF of 1848, 3058 and 1331.
Answer» Using Euclid's division lemma, find the HCF of 1848, 3058 and 1331.

Discussion

16.	Question 37From the given graph, choose the letters that indicate the location of the points given below.
Answer» Question 37 From the given graph, choose the letters that indicate the location of the points given below.

Discussion

17.	Question 2 (ii)Write the coordinates of C.
Answer» Question 2 (ii) Write the coordinates of C.

17.

Question 2 (ii)Write the coordinates of C.

Answer»

Question 2 (ii)

Write the coordinates of C.

Discussion

18.	If the volume of a cuboid with integer side lengths is a prime number (p), what will be the perimeter of the cuboid?
Answer» If the volume of a cuboid with integer side lengths is a prime number (p), what will be the perimeter of the cuboid?

Discussion

19.	If the length of a diagonal of a cube is 83 cm, then its surface area is(a) 512 cm2(b) 384 cm2(c) 192 cm2(d) 768 cm2
Answer» If the length of a diagonal of a cube is $8 \sqrt{3}$ cm, then its surface area is (a) 512 cm² (b) 384 cm² (c) 192 cm² (d) 768 cm²

Discussion

20.	The number of lines that can pass through a given point is:
Answer» The number of lines that can pass through a given point is:

Discussion

21.	Question 109External dimensions of a closed wooden box are in the ratio 5 : 4 : 3. If the cost of painting its outer surface at the rate of Rs. 5 per dm2 is Rs. 11750, find the dimensions of the box.
Answer» Question 109 External dimensions of a closed wooden box are in the ratio 5 : 4 : 3. If the cost of painting its outer surface at the rate of Rs. 5 per $d m^{2}$ is Rs. 11750, find the dimensions of the box.

21.

Question 109External dimensions of a closed wooden box are in the ratio 5 : 4 : 3. If the cost of painting its outer surface at the rate of Rs. 5 per dm2 is Rs. 11750, find the dimensions of the box.

Answer»

Question 109

External dimensions of a closed wooden box are in the ratio 5 : 4 : 3. If the cost of painting its outer surface at the rate of Rs. 5 per $d m^{2}$ is Rs. 11750, find the dimensions of the box.

Discussion

22.	Write the equation of a line parallel to y-axis and passing through the point (-3, -7).
Answer» Write the equation of a line parallel to y-axis and passing through the point (-3, -7).

Discussion

23.	An arc is _________ .
Answer» An arc is _________ .

Discussion

24.	The following graph shows the quantity of wheat and jower produced in 2010 to 2012.What is the percentage production of jowar as compared to total production in the year 2011?
Answer» The following graph shows the quantity of wheat and jower produced in 2010 to 2012. What is the percentage production of jowar as compared to total production in the year 2011?

Discussion

25.	Find the area bounded by y=1+\|x+1\| , x=-2 , x=3 , y=0 using integration. NOTE: How to draw the graph of y=1+\|x+1\|
Answer» Find the area bounded by y=1+\|x+1\| , x=-2 , x=3 , y=0 using integration. NOTE: How to draw the graph of y=1+\|x+1\|

Discussion

26.	Q4) Two chords AB, CD of lengths 5 and 11 cm respectively of a circle are parallel if the distance between A and CD is 3 cm, find the radius of the circle
Answer» Q4) Two chords AB, CD of lengths 5 and 11 cm respectively of a circle are parallel if the distance between A and CD is 3 cm, find the radius of the circle

Discussion

27.	The sides of a quadrangular field, taken in order are 26 m, 27 m, 7 m are 24 m respectively. The angle contained by the last two sides is a right angle. Find its area.
Answer» The sides of a quadrangular field, taken in order are 26 m, 27 m, 7 m are 24 m respectively. The angle contained by the last two sides is a right angle. Find its area.

Discussion

28.	If ab = 83, then the ratio a+4b4b is .
Answer» If $\frac{a}{b}$ = $\frac{8}{3},$ then the ratio $\frac{a + 4 b}{4 b}$ is .

Discussion

29.	Find the total surface area of of a cuboid for the following dimensions:(i) Length = 30 cm, Breadth = 45 cm and Height = 65 cm(ii) Length = 2 m 15 cm, Breadth = 1 m 70 cm and Height = 70 cm
Answer» Find the total surface area of of a cuboid for the following dimensions: (i) Length = 30 cm, Breadth = 45 cm and Height = 65 cm (ii) Length = 2 m 15 cm, Breadth = 1 m 70 cm and Height = 70 cm

Discussion

30.	In a circle, the length of an arc of central angle 40° is 3 centimetres. What is the perimeter of the circle? What is its radius?
Answer» In a circle, the length of an arc of central angle 40° is 3 centimetres. What is the perimeter of the circle? What is its radius?

30.

In a circle, the length of an arc of central angle 40° is 3 centimetres. What is the perimeter of the circle? What is its radius?

Answer»

In a circle, the length of an arc of central angle 40° is 3 centimetres. What is the perimeter of the circle? What is its radius?

Discussion

31.	23. Explain graham low with full concept theory and explain with mathematical derivation
Answer» 23. Explain graham low with full concept theory and explain with mathematical derivation

Discussion

32.	Without actually performing the long division, state whether 151600 will have a terminating decimal expansion or a non-terminating repeating decimal expansion.
Answer» Without actually performing the long division, state whether $\frac{15}{1600}$ will have a terminating decimal expansion or a non-terminating repeating decimal expansion.

Discussion

33.	25 pirates have altogether collected 1275 gold coins. The money should be distributed among the pirates equally. Find the amount of coins that each one will get.
Answer» $25$ pirates have altogether collected $1275$ gold coins. The money should be distributed among the pirates equally. Find the amount of coins that each one will get.

Discussion

34.	In a parallelogram ABCD, P and Q are mid-points of sides DA and DC respectively. If ∠DAC=30∘, then find the values of x and y? [2 MARKS]
Answer» In a parallelogram ABCD, P and Q are mid-points of sides DA and DC respectively. If $∠ D A C = 30^{\circ}$ , then find the values of x and y? [2 MARKS]

Discussion

35.	Sum of digits of a 2 digit number is 10. Sum of the number and its reverse equals 110. Represent it graphically.
Answer» Sum of digits of a 2 digit number is 10. Sum of the number and its reverse equals 110. Represent it graphically.

Discussion

36.	Solve the following pair of equations:7x−8y=−12−4x+2y=3
Answer» Solve the following pair of equations: $7 x - 8 y = - 12$ $- 4 x + 2 y = 3$

Discussion

37.

The following data gives the amount of manure (in thousand tonnes) manufactured by a company during some years: Year 1992 1993 1994 1995 1996 1997 Manure (in thousand tonnes) 15 35 45 30 40 20 (i) Represent the above data with the help of a bar graph.(ii) Indicate with the help of the bar graph the year in which the amount of manufactured by the company was maximum.(iii) Choose the correct alternative:The consecutive years during which there was maximum decrease in manure production are:(a) 1994 and 1995(b) 1992 and 1993(c) 1996 and 1997(d) 1995 and 1996

Answer» The following data gives the amount of manure (in thousand tonnes) manufactured by a company during some years:

Year	1992	1993	1994	1995	1996	1997
Manure (in thousand tonnes)	15	35	45	30	40	20

(i) Represent the above data with the help of a bar graph.

(ii) Indicate with the help of the bar graph the year in which the amount of manufactured by the company was maximum.

(iii) Choose the correct alternative:

The consecutive years during which there was maximum decrease in manure production are:

(a) 1994 and 1995

(b) 1992 and 1993

(c) 1996 and 1997

(d) 1995 and 1996

Discussion

38.	Represent 10.5 on a number line
Answer» Represent 10.5 on a number line

Discussion

39.	In the figure given, AE is the diameter of a circle with centre O. Write down the measure of ∠ABC + ∠EDC.
Answer» In the figure given, AE is the diameter of a circle with centre O. Write down the measure of ∠ABC + ∠EDC.

39.

In the figure given, AE is the diameter of a circle with centre O. Write down the measure of ∠ABC + ∠EDC.

Answer»

In the figure given, AE is the diameter of a circle with centre O. Write down the measure of ∠ABC + ∠EDC.

Discussion

40.	find the domain of f(x) = [√4^x-(44)^x ] + 3^x / log _4 (1-x)
Answer» find the domain of f(x) = [√4^x-(44)^x ] + 3^x / log _4 (1-x)

Discussion

41.	In parallelogram ABCD, AB = 10 cm. The altitudes corresponding to the sides AB and AD are respectively 7 cm and 8 cm. Find AD.
Answer» In parallelogram ABCD, AB = 10 cm. The altitudes corresponding to the sides AB and AD are respectively 7 cm and 8 cm. Find AD.

Discussion

42.	The area of the hexagon, if AB=BC=CD=DE=EF=FA=13 cm and AO=PD=5 cm, is ___ cm2
Answer» The area of the hexagon, if $A B = B C = C D = D E = E F = F A = 13 c m$ and $A O = P D = 5 c m,$ is ___ $c m^{2}$

42.

The area of the hexagon, if AB=BC=CD=DE=EF=FA=13 cm and AO=PD=5 cm, is ___ cm2

Answer»

The area of the hexagon, if $A B = B C = C D = D E = E F = F A = 13 c m$ and $A O = P D = 5 c m,$ is ___ $c m^{2}$

Discussion

43.	3 out of 9 eggs are broken. What fraction of total eggs are damaged?
Answer» 3 out of 9 eggs are broken. What fraction of total eggs are damaged?

Discussion

44.	In the figure, ABCD is a rectangle in which diagonal AC is produced to E. If ∠ECD=146∘,find ∠AOB.
Answer» In the figure, ABCD is a rectangle in which diagonal AC is produced to E. If $∠ E C D = 146^{\circ}, f i n d ∠ A O B$ .

44.

In the figure, ABCD is a rectangle in which diagonal AC is produced to E. If ∠ECD=146∘,find ∠AOB.

Answer»

In the figure, ABCD is a rectangle in which diagonal AC is produced to E. If $∠ E C D = 146^{\circ}, f i n d ∠ A O B$ .

Discussion

45.	Question 150In the given parallelogram YOUR, ∠RUO=120∘ and OY is extended to point S, such that ∠SRY=50∘. Find ∠YSR.
Answer» Question 150 In the given parallelogram YOUR, $∠ R U O = 120^{\circ}$ and OY is extended to point S, such that $∠ S R Y = 50^{\circ}$ . Find $∠ Y S R$ .

Discussion

46.

Prepare Income and Expenditure Account from the following particulars of Youth Club for the year ended on 31st March, 2018: RECEIPTS AND PAYMENTS ACCOUNT for the year ended 31st March, 2018 Dr. Cr. Receipts ₹ Payments ₹ To Balance b/d (Cash) 32,500 By Salaries 31,500 To Subscription: By Postage 1,250 2016-17 1,500 By Rent 9,000 2017-18 60,000 By Printing and Stationery 14,000 2018-19 1,800 63,300 By Sports Material 11,500 To Donations (Billiards Table) 90,000 Bu Miscellaneous Expenses 3,100 To Entrance Fees 1,100 By Furniture (1st October, 2017) 20,000 To Sale of Old Magazines 450 By 10% Investment (1st October, 2017) 70,000 By Balance c/d (31st March, 2018) 27,000 1,87,350 1,87,350 Additional Information:(i) Subscription outstanding as at 31st March, 2018 ₹ 16,200.(ii) ₹ 1,200 is still in arrears for the year 2016-17 for subscription.(iii) Value of sports material at the beginning and at the end of the year was ₹ 3,000 and ₹ 4,500 respectively.(iv) Depreciation to be provided 10% p.a. on furniture.

Answer» Prepare Income and Expenditure Account from the following particulars of Youth Club for the year ended on 31st March, 2018:

RECEIPTS AND PAYMENTS ACCOUNT for the year ended 31st March, 2018
Dr.					Cr.
Receipts		₹	Payments	₹
To Balance b/d (Cash)		32,500	By Salaries	31,500
To Subscription:			By Postage	1,250
2016-17	1,500		By Rent	9,000
2017-18	60,000		By Printing and Stationery	14,000
2018-19	1,800	63,300	By Sports Material	11,500
To Donations (Billiards Table)		90,000	Bu Miscellaneous Expenses	3,100
To Entrance Fees		1,100	By Furniture (1st October, 2017)	20,000
To Sale of Old Magazines		450	By 10% Investment (1st October, 2017)	70,000
			By Balance c/d (31st March, 2018)	27,000


		1,87,350		1,87,350

Additional Information:

(i) Subscription outstanding as at 31st March, 2018 ₹ 16,200.

(ii) ₹ 1,200 is still in arrears for the year 2016-17 for subscription.

(iii) Value of sports material at the beginning and at the end of the year was ₹ 3,000 and ₹ 4,500 respectively.

(iv) Depreciation to be provided 10% p.a. on furniture.

Discussion

47.	Which shape can be used as a cover of this box?
Answer» Which shape can be used as a cover of this box?

Discussion

48.	If 9x+2 = 240 + 9x, then x =(a) 0.5(b) 0.2(c) 0.4(d) 0.1
Answer» If 9^x⁺² = 240 + 9^x, then x = (a) 0.5 (b) 0.2 (c) 0.4 (d) 0.1

Discussion

49.	If the distance of a point is zero units from both x-axis and y-axis, then the coordinates of the point is
Answer» If the distance of a point is zero units from both x-axis and y-axis, then the coordinates of the point is

Discussion

50.	Question 8If ΔABC∼ΔPQR, and BCQR=13, then ar(ΔPRQ)ar(ΔBCA) is equal to(A) 9(B) 3(C) 13(D) 19
Answer» Question 8 If $Δ A B C \sim Δ P Q R, a n d \frac{B C}{Q R} = \frac{1}{3}, t h e n \frac{a r (Δ P R Q)}{a r (Δ B C A)}$ is equal to (A) 9 (B) 3 (C) $\frac{1}{3}$ (D) $\frac{1}{9}$

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

A model of a ship is made to a scale of 1:250. Find the length of the ship, if the length of the model is 1.6 m.

BD and CE are bisectors of ∠B and ∠C of an isosceles ΔABC with AB = AC. Prove that BD = CE.

Express the following rational numbers as decimals:(i) 42100(ii) 327500(iii) 154

There are two identical cubes. Out of one cube, a sphere of maximum volume (VS) is cut out. Out of the second cube, a cone of maximum volume (VC) is cut such that its base lies on one of the faces of the cube. Which one of the following is correct?

A closed cylindrical tank of radius 7 m and height 3 m is made from a sheet of metal. How much sheet of metal is required?

Prepare a continuous series from the following data:

Question 54State whether the following statement is true or false:​​​​​​​The areas of any two faces of a cuboid are equal.

Using factor theorem, factorize each of the following polynomials x3−6x2 + 3x + 10

The given figure shows rhombus MNOP. Diagonals MO and NP of the rhombus intersect at point X. It is also given that diagonal MO measures 48 cm and NX = 10 cm. What is the length of each side of the rhombus?

Factorise: x2+1235x+135

If (23)2 is 2x, what is x?

69. a particle is projected with velocity 20m/s so that it just clear two walls of equal height 10m which are at a distance 20m from each other the time of passing between the walls is

Find the mode of the following data set.1, 2, 6, 9, 5, 9, 4, 18, 14, 2, 8, 11, 7

Which of the following points on a graph would the line x+5y=7 pass through?

Using Euclid's division lemma, find the HCF of 1848, 3058 and 1331.

Question 37From the given graph, choose the letters that indicate the location of the points given below.

Question 2 (ii)Write the coordinates of C.

If the volume of a cuboid with integer side lengths is a prime number (p), what will be the perimeter of the cuboid?

If the length of a diagonal of a cube is 83 cm, then its surface area is(a) 512 cm2(b) 384 cm2(c) 192 cm2(d) 768 cm2

The number of lines that can pass through a given point is:

Question 109External dimensions of a closed wooden box are in the ratio 5 : 4 : 3. If the cost of painting its outer surface at the rate of Rs. 5 per dm2 is Rs. 11750, find the dimensions of the box.

Write the equation of a line parallel to y-axis and passing through the point (-3, -7).

An arc is _________ .

The following graph shows the quantity of wheat and jower produced in 2010 to 2012.What is the percentage production of jowar as compared to total production in the year 2011?

Find the area bounded by y=1+|x+1| , x=-2 , x=3 , y=0 using integration. NOTE: How to draw the graph of y=1+|x+1|

Q4) Two chords AB, CD of lengths 5 and 11 cm respectively of a circle are parallel if the distance between A and CD is 3 cm, find the radius of the circle

The sides of a quadrangular field, taken in order are 26 m, 27 m, 7 m are 24 m respectively. The angle contained by the last two sides is a right angle. Find its area.

If ab = 83, then the ratio a+4b4b is .

Find the total surface area of of a cuboid for the following dimensions:(i) Length = 30 cm, Breadth = 45 cm and Height = 65 cm(ii) Length = 2 m 15 cm, Breadth = 1 m 70 cm and Height = 70 cm

In a circle, the length of an arc of central angle 40° is 3 centimetres. What is the perimeter of the circle? What is its radius?

23. Explain graham low with full concept theory and explain with mathematical derivation

Without actually performing the long division, state whether 151600 will have a terminating decimal expansion or a non-terminating repeating decimal expansion.

25 pirates have altogether collected 1275 gold coins. The money should be distributed among the pirates equally. Find the amount of coins that each one will get.

In a parallelogram ABCD, P and Q are mid-points of sides DA and DC respectively. If ∠DAC=30∘, then find the values of x and y? [2 MARKS]

Sum of digits of a 2 digit number is 10. Sum of the number and its reverse equals 110. Represent it graphically.

Solve the following pair of equations:7x−8y=−12−4x+2y=3

Represent 10.5 on a number line

In the figure given, AE is the diameter of a circle with centre O. Write down the measure of ∠ABC + ∠EDC.

find the domain of f(x) = [√4^x-(44)^x ] + 3^x / log _4 (1-x)

In parallelogram ABCD, AB = 10 cm. The altitudes corresponding to the sides AB and AD are respectively 7 cm and 8 cm. Find AD.

The area of the hexagon, if AB=BC=CD=DE=EF=FA=13 cm and AO=PD=5 cm, is ___ cm2

3 out of 9 eggs are broken. What fraction of total eggs are damaged?

In the figure, ABCD is a rectangle in which diagonal AC is produced to E. If ∠ECD=146∘,find ∠AOB.

Question 150In the given parallelogram YOUR, ∠RUO=120∘ and OY is extended to point S, such that ∠SRY=50∘. Find ∠YSR.

Which shape can be used as a cover of this box?

If 9x+2 = 240 + 9x, then x =(a) 0.5(b) 0.2(c) 0.4(d) 0.1

If the distance of a point is zero units from both x-axis and y-axis, then the coordinates of the point is

Question 8If ΔABC∼ΔPQR, and BCQR=13, then ar(ΔPRQ)ar(ΔBCA) is equal to(A) 9(B) 3(C) 13(D) 19

Question 54State whether the following statement is true or false:The areas of any two faces of a cuboid are equal.