25365 + Interview Questions in Mathematics

1.	Find the reciprocal (multiplicative inverse) of:(i) 35×23(ii) −83×13−7(iii) −35×−113
Answer» $Find the reciprocal (multiplicative inverse) of : (i) \frac{3}{5} \times \frac{2}{3} (i i) \frac{- 8}{3} \times \frac{13}{- 7} (i i i) \frac{- 3}{5} \times \frac{- 1}{13}$

Discussion

2.	Find the angle x from the figure if ABCD is a parallelogram in which ∠DCB and ∠ABC are in ratio 2:7.
Answer» Find the angle x from the figure if ABCD is a parallelogram in which $∠ D C B$ and $∠ A B C$ are in ratio 2:7.

2.

Find the angle x from the figure if ABCD is a parallelogram in which ∠DCB and ∠ABC are in ratio 2:7.

Answer»

Find the angle x from the figure if ABCD is a parallelogram in which $∠ D C B$ and $∠ A B C$ are in ratio 2:7.

Discussion

3.	Two alternate sides of a regular polygon, when produced, meet at the right angle, Calculate the number of sides in the polygon.
Answer» Two alternate sides of a regular polygon, when produced, meet at the right angle, Calculate the number of sides in the polygon.

Discussion

4.	Question 84 (x) Simplify (b2−49)(b+7)+343
Answer» Question 84 (x) Simplify $(b^{2} - 49) (b + 7) + 343$

4.

Question 84 (x) Simplify (b2−49)(b+7)+343

Answer»

Question 84 (x)

Simplify

$(b^{2} - 49) (b + 7) + 343$

Discussion

5.	Neeraj lent Rs. 65536 for 2 years at 1212% per annum, compounded annually. How much more could he earn if the interest were compounded half-yearly?
Answer» Neeraj lent $R s . 65536$ for $2$ years at $12 \frac{1}{2} %$ per annum, compounded annually. How much more could he earn if the interest were compounded half-yearly?

Discussion

6.	Question 33 If a cube fits exactly in a cylinder with height h, then the volume of the cube is ___ and surface area of the cube is ___.
Answer» Question 33 If a cube fits exactly in a cylinder with height h, then the volume of the cube is ___ and surface area of the cube is ___.

6.

Question 33 If a cube fits exactly in a cylinder with height h, then the volume of the cube is _ and surface area of the cube is _.

Answer»

Question 33

If a cube fits exactly in a cylinder with height h, then the volume of the cube is ___ and surface area of the cube is ___.

Discussion

7.	Two coincident lines are of equal length. One of them is moved clockwise with respect to the other such that they share a common end point until they coincide again. Let A be the area swept by the line and let B be the area swept when this line makes any angle θ(θ <360) with fixed line. Find A:B.
Answer» Two coincident lines are of equal length. One of them is moved clockwise with respect to the other such that they share a common end point until they coincide again. Let A be the area swept by the line and let B be the area swept when this line makes any angle $θ (θ < 360)$ with fixed line. Find A:B.

Discussion

8.	Factorise : 16(2p−3q)2−4(2p−3q)
Answer» Factorise : $16 (2 p - 3 q)^{2} - 4 (2 p - 3 q)$

Discussion

9.	Evaluate : 3√−27125
Answer» Evaluate : $\sqrt[3]{\frac{- 27}{125}}$

Discussion

10.	Following data gives the break up of the cost of production of a book: PrintingPaperBinding chargesAdvertisementRoyaltyMisellaneous30%15%15%20%10%15% Draw a pie-diagram depicting the above information.
Answer» Following data gives the break up of the cost of production of a book: $\begin{matrix} Printing & Paper & Binding charges & Advertisement & Royalty & Misellaneous 30 % & 15 % & 15 % & 20 % & 10 % & 15 % \end{matrix}$ Draw a pie-diagram depicting the above information.

Discussion

11.	Question 5(ii) Factorise the following expressions q2−10q+21
Answer» Question 5(ii) Factorise the following expressions $q^{2} - 10 q + 21$

Discussion

12.	0.00008281 find square root of this decimal
Answer» 0.00008281 find square root of this decimal

Discussion

13.	Construct a quadrilateral PQRS in which QR = 7.5 cm, PR = PS = 6 cm, RS = 5 cm and QS =10 cm. Measure the fourth side.
Answer» Construct a quadrilateral PQRS in which QR = 7.5 cm, PR = PS = 6 cm, RS = 5 cm and QS =10 cm. Measure the fourth side.

Discussion

14.	Two angles of a polygon are right angles and every other angle is 120 degree. Find the number of sides of the polygon.
Answer» Two angles of a polygon are right angles and every other angle is 120 degree. Find the number of sides of the polygon.

Discussion

15.	The units digit of a two-digit number is 3 and seven times the sum of the digits is the number itself. Find the number.
Answer» The units digit of a two-digit number is 3 and seven times the sum of the digits is the number itself. Find the number.

Discussion

16.	A brick has length (l), breadth (b) and height (h) in the ratio 1:2:3, the total surface area of the brick is 792 sq. m. Find its volume.
Answer» A brick has length (l), breadth (b) and height (h) in the ratio 1:2:3, the total surface area of the brick is 792 sq. m. Find its volume.

Discussion

17.	Write the equations for the x and y-axis.
Answer» Write the equations for the x and y-axis.

Discussion

18.	Are natural numbers a part of rational numbers??
Answer» Are natural numbers a part of rational numbers??

Discussion

19.	A sum of money placed at compound interest Doubles itself in 4 years in how many years will it amount to 8 times ?
Answer» A sum of money placed at compound interest Doubles itself in 4 years in how many years will it amount to 8 times ?

Discussion

20.	Vishal sold goods for Rs. 7,000 to Manju on 5th January, 2016 and drew upon her bills of exchange payable after 2 months. Manju accepted Vishal's draft and handed over the same to Vishal after acceptance. Vishal immediately discounted the bill with his bank 12 per annum. On the due date, Manju met her acceptance. Journalise the above transactions in the books of Vishal and Manju.
Answer» Vishal sold goods for Rs. 7,000 to Manju on 5th January, 2016 and drew upon her bills of exchange payable after 2 months. Manju accepted Vishal's draft and handed over the same to Vishal after acceptance. Vishal immediately discounted the bill with his bank $12$ per annum. On the due date, Manju met her acceptance. Journalise the above transactions in the books of Vishal and Manju.

20.

Vishal sold goods for Rs. 7,000 to Manju on 5th January, 2016 and drew upon her bills of exchange payable after 2 months. Manju accepted Vishal's draft and handed over the same to Vishal after acceptance. Vishal immediately discounted the bill with his bank 12 per annum. On the due date, Manju met her acceptance. Journalise the above transactions in the books of Vishal and Manju.

Answer»

Vishal sold goods for Rs. 7,000 to Manju on 5th January, 2016 and drew upon her bills of exchange payable after 2 months. Manju accepted Vishal's draft and handed over the same to Vishal after acceptance. Vishal immediately discounted the bill with his bank $12$ per annum. On the due date, Manju met her acceptance.

Journalise the above transactions in the books of Vishal and Manju.

Discussion

21.	Find each of the following products: (x2−5x+8)×(x2+2)
Answer» Find each of the following products: $(x^{2} - 5 x + 8) \times (x^{2} + 2)$

21.

Find each of the following products: (x2−5x+8)×(x2+2)

Answer»

Find each of the following products:

$(x^{2} - 5 x + 8) \times (x^{2} + 2)$

Discussion

22.	Write the quotient and remainder when we divide. (8x4+10x3−5x2−4x+1) by (2x2+x−1)
Answer» Write the quotient and remainder when we divide. $(8 x^{4} + 10 x^{3} - 5 x^{2} - 4 x + 1)$ by $(2 x^{2} + x - 1)$

22.

Write the quotient and remainder when we divide. (8x4+10x3−5x2−4x+1) by (2x2+x−1)

Answer»

Write the quotient and remainder when we divide.

$(8 x^{4} + 10 x^{3} - 5 x^{2} - 4 x + 1)$ by $(2 x^{2} + x - 1)$

Discussion

23.	Find the amount and the compound interest on Rs 15625 for 3 years at 12% per annum, compounded annually.
Answer» Find the amount and the compound interest on Rs 15625 for 3 years at $12 %$ per annum, compounded annually.

Discussion

24.	Factorize each of the following expressions : qr - pr + qs - ps
Answer» Factorize each of the following expressions : qr - pr + qs - ps

24.

Factorize each of the following expressions : qr - pr + qs - ps

Answer»

Factorize each of the following expressions :

qr - pr + qs - ps

Discussion

25.	In the game of ludo, you start your move if you get 6 after throwing the dice for the first time. What is the probability that you will start your move after the first throw?
Answer» In the game of ludo, you start your move if you get 6 after throwing the dice for the first time. What is the probability that you will start your move after the first throw?

Discussion

26.	The volume of a cube with total surface area 150 cm2 is ______ .
Answer» The volume of a cube with total surface area 150 cm² is ______ .

Discussion

27.	Evaluate: (x−y)3=___
Answer» Evaluate: $(x - y)^{3} =___$

Discussion

28.	Prove that of 12 distinct two-digit numbers, we can select two-digit difference of the form aa. (The box principle)
Answer» Prove that of 12 distinct two-digit numbers, we can select two-digit difference of the form aa. (The box principle)

Discussion

29.	Question 18 Find and correct the errors in the statement: 3x3x+2=12
Answer» Question 18 Find and correct the errors in the statement: $\frac{3 x}{3 x + 2} = \frac{1}{2}$

Discussion

30.	if a =-2,b=-3 ,c=4 find 5 a^2b^3c+3a^3b^2c^2-(-2)^2(-3)^244
Answer» if a =-2,b=-3 ,c=4 find 5 a^2b^3c+3a^3b^2c^2-(-2)^2(-3)^244

Discussion

31.	Find the area of a rhombus whose side is 5 cm and whose altitude is 4.8 cm. If one of the diagonals is 8 cm long, find the length of the other diagonal.
Answer» Find the area of a rhombus whose side is 5 cm and whose altitude is 4.8 cm. If one of the diagonals is 8 cm long, find the length of the other diagonal.

Discussion

32.	Verify: x³+ y³+ z³- 3xyz =(x+y+z) [(x-y)² + (y-z)² +(z-x)²] and a factor of 64x³+125y³ -64³+ 240.
Answer» Verify: x³+ y³+ z³- 3xyz =(x+y+z) [(x-y)² + (y-z)² +(z-x)²] and a factor of 64x³+125y³ -64³+ 240.

32.

Verify: x³+ y³+ z³- 3xyz =(x+y+z) [(x-y)² + (y-z)² +(z-x)²] and a factor of 64x³+125y³ -64³+ 240.

Answer»

Verify:

x³+ y³+ z³- 3xyz =(x+y+z) [(x-y)² + (y-z)² +(z-x)²] and a factor of 64x³+125y³ -64³+ 240.

Discussion

33.	(i) Given that a printer prints 5 pages less in the second minute to what it prints in the first minute. Given that it prints 77 pages in two minutes, how many pages does it print in the first minute? (ii) The length of a rectangle is 4 metres less than three times the breadth of the rectangle. Express the breadth in terms of length. [4 MARKS]
Answer» (i) Given that a printer prints 5 pages less in the second minute to what it prints in the first minute. Given that it prints 77 pages in two minutes, how many pages does it print in the first minute? (ii) The length of a rectangle is 4 metres less than three times the breadth of the rectangle. Express the breadth in terms of length. [4 MARKS]

Discussion

34.	Question 4(iii) Simplify: (7m−8n)2+(7m+8n)2
Answer» Question 4(iii) Simplify: $(7 m - 8 n)^{2} + (7 m + 8 n)^{2}$

Discussion

35.	Question 1 (vi) Find the value of unknown x in the following diagrams.
Answer» Question 1 (vi) Find the value of unknown x in the following diagrams.

Discussion

36.	Question 127 Solve the following question: Rahul walks 12 m North from his house and turns West to walk 35 m to reach his friend's house. While returning, he walks diagonally from his friend's house to reach back to his house. What distance did he walk while returning?
Answer» Question 127 Solve the following question: Rahul walks 12 m North from his house and turns West to walk 35 m to reach his friend's house. While returning, he walks diagonally from his friend's house to reach back to his house. What distance did he walk while returning?

36.

Question 127 Solve the following question: Rahul walks 12 m North from his house and turns West to walk 35 m to reach his friend's house. While returning, he walks diagonally from his friend's house to reach back to his house. What distance did he walk while returning?

Answer»

Question 127

Solve the following question:

Rahul walks 12 m North from his house and turns West to walk 35 m to reach his friend's house. While returning, he walks diagonally from his friend's house to reach back to his house. What distance did he walk while returning?

Discussion

37.	Two sides of a triangle are 6 cm and 8 cm. If height of the triangle corresponding to 6 cm side is 4 cm; find: (i) are of the triangle (ii) height of the triangle corresponding to 8 cm side.
Answer» Two sides of a triangle are 6 cm and 8 cm. If height of the triangle corresponding to 6 cm side is 4 cm; find: (i) are of the triangle (ii) height of the triangle corresponding to 8 cm side.

37.

Two sides of a triangle are 6 cm and 8 cm. If height of the triangle corresponding to 6 cm side is 4 cm; find: (i) are of the triangle (ii) height of the triangle corresponding to 8 cm side.

Answer»

Two sides of a triangle are 6 cm and 8 cm. If height of the triangle corresponding to 6 cm side is 4 cm; find:

(i) are of the triangle

(ii) height of the triangle corresponding to 8 cm side.

Discussion

38.	Which of the following is a linear equation? i) x−2y=76 ii) x+78y3=98 iii) x2+2x−5=0 iv) x2+2x+2=0
Answer» Which of the following is a linear equation? i) $x - 2 y = 76$ ii) $x + 78 y^{3} = 98$ iii) $x^{2} + 2 x - 5 = 0$ iv) $x^{2} + 2 x + 2 = 0$

38.

Which of the following is a linear equation? i) x−2y=76 ii) x+78y3=98 iii) x2+2x−5=0 iv) x2+2x+2=0

Answer»

Which of the following is a linear equation?

i) $x - 2 y = 76$

ii) $x + 78 y^{3} = 98$

iii) $x^{2} + 2 x - 5 = 0$

iv) $x^{2} + 2 x + 2 = 0$

Discussion

39.

Small Cars Large Cars Number of cars offered 32 23 Number of cars sold 16 20 Projected sales total for cars offered (in thousands) $70 $150 Actual sales total (in thousands) $41 $120 For the large cars sold at an auction that is summarized in the table above, what was the average sale price per car? 6000

Answer» Small Cars Large Cars

Number of cars offered	32	23
Number of cars sold	16	20
Projected sales total for cars offered (in thousands)	$70	$150
Actual sales total (in thousands)	$41	$120

For the large cars sold at an auction that is summarized in the table above, what was the average sale price per car?

6000

Discussion

40.	Simplify: (p2 + q2) - (q2 - r2) - (r2 + p2)
Answer» Simplify: (p² + q²) - (q² - r²) - (r² + p²)

40.

Simplify: (p2 + q2) - (q2 - r2) - (r2 + p2)

Answer»

Simplify:

(p² + q²) - (q² - r²) - (r² + p²)

Discussion

41.	In the newspaper you read about a football match between Brazil and Turkey. The length of the base of the yellow shape is 10.6 m and the height is equal to 8.3 m. So, the area of the yellow parallelgram in the flag is ____. (rounded off to the nearest number).
Answer» In the newspaper you read about a football match between Brazil and Turkey. The length of the base of the yellow shape is 10.6 m and the height is equal to 8.3 m. So, the area of the yellow parallelgram in the flag is ____. (rounded off to the nearest number).

41.

In the newspaper you read about a football match between Brazil and Turkey. The length of the base of the yellow shape is 10.6 m and the height is equal to 8.3 m. So, the area of the yellow parallelgram in the flag is ____. (rounded off to the nearest number).

Answer»

In the newspaper you read about a football match between Brazil and Turkey. The length of the base of the yellow shape is 10.6 m and the height is equal to 8.3 m. So, the area of the yellow parallelgram in the flag is ____. (rounded off to the nearest number).

Discussion

42.	Is it possible to construct a unique quadrilateral ABCD with AB = 4cm, AD = 6 cm, ∠ABC=60∘, ∠DAB=75∘, and ∠ADC=85∘? If yes, find the value of ∠BCD.
Answer» Is it possible to construct a unique quadrilateral ABCD with AB = 4cm, AD = 6 cm, $∠ A B C = 60^{\circ}$ , $∠ D A B = 75^{\circ}$ , and $∠ A D C = 85^{\circ}$ ? If yes, find the value of $∠ B C D$ .

Discussion

43.	The diagonal of a rhombus are 12cm and 16cm .Find the length of one side of Rhombus
Answer» The diagonal of a rhombus are 12cm and 16cm .Find the length of one side of Rhombus

Discussion

44.	Which of the following is a polyhedron?
Answer» Which of the following is a polyhedron?

Discussion

45.	The ratio between the diameters of two circles is 5:7. The ratio between their area is _____.
Answer» The ratio between the diameters of two circles is $5 : 7$ . The ratio between their area is _____.

Discussion

46.	In the monthly test ,your friend scored 96 marks and you scored 54. By how much percent were your marks lower than your friend?
Answer» In the monthly test ,your friend scored 96 marks and you scored 54. By how much percent were your marks lower than your friend?

Discussion

47.	Factorise 2x2−7x+6
Answer» Factorise $2 x^{2} - 7 x + 6$

Discussion

48.	Compute 8 !6 !×2 !.
Answer» Compute $\frac{8!}{6! \times 2!} .$

Discussion

49.	Question 27 Fill in the blanks to make the statements true. The unit's digit in the square of 1294 is ___
Answer» Question 27 Fill in the blanks to make the statements true. The unit's digit in the square of 1294 is ___

49.

Question 27 Fill in the blanks to make the statements true. The unit's digit in the square of 1294 is ___

Answer»

Question 27

Fill in the blanks to make the statements true.

The unit's digit in the square of 1294 is ___

Discussion

50.

Question 35 The compound interest on Rs 8000 for one year at 16% per annum compounded half-yearly is___ , given that (1.08)2 = 1.1664.

Answer»

Question 35

The compound interest on Rs 8000 for one year at 16% per annum compounded half-yearly is___ , given that $(1.08)^{2}$ = 1.1664.

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

Find the reciprocal (multiplicative inverse) of:(i) 35×23(ii) −83×13−7(iii) −35×−113

Find the angle x from the figure if ABCD is a parallelogram in which ∠DCB and ∠ABC are in ratio 2:7.

Two alternate sides of a regular polygon, when produced, meet at the right angle, Calculate the number of sides in the polygon.

Question 84 (x) Simplify (b2−49)(b+7)+343

Neeraj lent Rs. 65536 for 2 years at 1212% per annum, compounded annually. How much more could he earn if the interest were compounded half-yearly?

Question 33 If a cube fits exactly in a cylinder with height h, then the volume of the cube is ___ and surface area of the cube is ___.

Factorise : 16(2p−3q)2−4(2p−3q)

Evaluate : 3√−27125

Following data gives the break up of the cost of production of a book: PrintingPaperBinding chargesAdvertisementRoyaltyMisellaneous30%15%15%20%10%15% Draw a pie-diagram depicting the above information.

Question 5(ii) Factorise the following expressions q2−10q+21

0.00008281 find square root of this decimal

Construct a quadrilateral PQRS in which QR = 7.5 cm, PR = PS = 6 cm, RS = 5 cm and QS =10 cm. Measure the fourth side.

Two angles of a polygon are right angles and every other angle is 120 degree. Find the number of sides of the polygon.

The units digit of a two-digit number is 3 and seven times the sum of the digits is the number itself. Find the number.

A brick has length (l), breadth (b) and height (h) in the ratio 1:2:3, the total surface area of the brick is 792 sq. m. Find its volume.

Write the equations for the x and y-axis.

Are natural numbers a part of rational numbers??

A sum of money placed at compound interest Doubles itself in 4 years in how many years will it amount to 8 times ?

Find each of the following products: (x2−5x+8)×(x2+2)

Write the quotient and remainder when we divide. (8x4+10x3−5x2−4x+1) by (2x2+x−1)

Find the amount and the compound interest on Rs 15625 for 3 years at 12% per annum, compounded annually.

Factorize each of the following expressions : qr - pr + qs - ps

In the game of ludo, you start your move if you get 6 after throwing the dice for the first time. What is the probability that you will start your move after the first throw?

The volume of a cube with total surface area 150 cm2 is ______ .

Evaluate: (x−y)3=___

Prove that of 12 distinct two-digit numbers, we can select two-digit difference of the form aa. (The box principle)

Question 18 Find and correct the errors in the statement: 3x3x+2=12

if a =-2,b=-3 ,c=4 find 5 a^2b^3c+3a^3b^2c^2-(-2)^2(-3)^2*4*4

Find the area of a rhombus whose side is 5 cm and whose altitude is 4.8 cm. If one of the diagonals is 8 cm long, find the length of the other diagonal.

Verify: x³+ y³+ z³- 3xyz =(x+y+z) [(x-y)² + (y-z)² +(z-x)²] and a factor of 64x³+125y³ -64³+ 240.

Question 4(iii) Simplify: (7m−8n)2+(7m+8n)2

Question 1 (vi) Find the value of unknown x in the following diagrams.

Question 127 Solve the following question: Rahul walks 12 m North from his house and turns West to walk 35 m to reach his friend's house. While returning, he walks diagonally from his friend's house to reach back to his house. What distance did he walk while returning?

Two sides of a triangle are 6 cm and 8 cm. If height of the triangle corresponding to 6 cm side is 4 cm; find: (i) are of the triangle (ii) height of the triangle corresponding to 8 cm side.

Which of the following is a linear equation? i) x−2y=76 ii) x+78y3=98 iii) x2+2x−5=0 iv) x2+2x+2=0

Simplify: (p2 + q2) - (q2 - r2) - (r2 + p2)

In the newspaper you read about a football match between Brazil and Turkey. The length of the base of the yellow shape is 10.6 m and the height is equal to 8.3 m. So, the area of the yellow parallelgram in the flag is ____. (rounded off to the nearest number).

Is it possible to construct a unique quadrilateral ABCD with AB = 4cm, AD = 6 cm, ∠ABC=60∘, ∠DAB=75∘, and ∠ADC=85∘? If yes, find the value of ∠BCD.

The diagonal of a rhombus are 12cm and 16cm .Find the length of one side of Rhombus

Which of the following is a polyhedron?

The ratio between the diameters of two circles is 5:7. The ratio between their area is _____.

In the monthly test ,your friend scored 96 marks and you scored 54. By how much percent were your marks lower than your friend?

Factorise 2x2−7x+6

Compute 8 !6 !×2 !.

Question 27 Fill in the blanks to make the statements true. The unit's digit in the square of 1294 is ___

Question 35 The compound interest on Rs 8000 for one year at 16% per annum compounded half-yearly is___ , given that (1.08)2 = 1.1664.

Question 33 If a cube fits exactly in a cylinder with height h, then the volume of the cube is _ and surface area of the cube is _.

if a =-2,b=-3 ,c=4 find 5 a^2b^3c+3a^3b^2c^2-(-2)^2(-3)^244