25365 + Interview Questions in Mathematics

1.	Question 112 A rectangular sheet of dimensions 25 cm×7 cm is rotated about its longer side. Find the volume and the whole surface area of the solid thus generated.
Answer» Question 112 A rectangular sheet of dimensions $25 c m \times 7 c m$ is rotated about its longer side. Find the volume and the whole surface area of the solid thus generated.

1.

Question 112 A rectangular sheet of dimensions 25 cm×7 cm is rotated about its longer side. Find the volume and the whole surface area of the solid thus generated.

Answer»

Question 112

A rectangular sheet of dimensions $25 c m \times 7 c m$ is rotated about its longer side. Find the volume and the whole surface area of the solid thus generated.

Discussion

2.	Factorize: x2+6x+8=?(a) (x+3)(x+5)(b) (x+3)(x+4)(c) (x+2)(x+4)(d) (x+1)(x+8)
Answer» Factorize: $x^{2} + 6 x + 8 = ? (a) (x + 3) (x + 5) (b) (x + 3) (x + 4) (c) (x + 2) (x + 4) (d) (x + 1) (x + 8)$

Discussion

3.	Find each of the following products: (4x+9)×(x−6)
Answer» Find each of the following products: $(4 x + 9) \times (x - 6)$

3.

Find each of the following products: (4x+9)×(x−6)

Answer»

Find each of the following products:

$(4 x + 9) \times (x - 6)$

Discussion

4.	A cistern has two inlets A and B which can fill it in 12 hours and 15 hours respectively. An outlet can empty the full cistern in 10 hours. If all the three pipes are opened together in the empty cistern, how much tiem will they take to fill the cistern completely?
Answer» A cistern has two inlets A and B which can fill it in 12 hours and 15 hours respectively. An outlet can empty the full cistern in 10 hours. If all the three pipes are opened together in the empty cistern, how much tiem will they take to fill the cistern completely?

Discussion

5.	Question 71 (iv) It is given that l varies directly as m. Find m, when l is 8.
Answer» Question 71 (iv) It is given that l varies directly as m. Find m, when l is 8.

5.

Question 71 (iv) It is given that l varies directly as m. Find m, when l is 8.

Answer»

Question 71 (iv)

It is given that l varies directly as m.
Find m, when l is 8.

Discussion

6.	A retailer buys a radio for Rs. 225. His overhead expenses are Rs. 15. If he sells the radio for Rs. 300, determine his profit percent.
Answer» A retailer buys a radio for Rs. 225. His overhead expenses are Rs. 15. If he sells the radio for Rs. 300, determine his profit percent.

Discussion

7.	The area of a trapezium with equal non-parallel sides is 168 m2. If the lengths of the parallel sides are 36m and 20m, then find the length of the non-parallel sides.
Answer» The area of a trapezium with equal non-parallel sides is $168 m^{2}$ . If the lengths of the parallel sides are $36 m$ and $20 m$ , then find the length of the non-parallel sides.

Discussion

8.	Question 43 State whether the following statement is true (T) or false (F). If x3+1=715, then x3=615
Answer» Question 43 State whether the following statement is true (T) or false (F). If $\frac{x}{3} + 1 = \frac{7}{15}, t h e n \frac{x}{3} = \frac{6}{15}$

8.

Question 43 State whether the following statement is true (T) or false (F). If x3+1=715, then x3=615

Answer»

Question 43

State whether the following statement is true (T) or false (F).

If $\frac{x}{3} + 1 = \frac{7}{15}, t h e n \frac{x}{3} = \frac{6}{15}$

Discussion

9.	Question 58 If xy is the additive inverse of cd, then xy+cd=0
Answer» Question 58 If $\frac{x}{y}$ is the additive inverse of $\frac{c}{d}$ , then $\frac{x}{y} + \frac{c}{d} = 0$

Discussion

10.	What should be added to - 1 to get −35 ?
Answer» What should be added to - 1 to get $\frac{- 3}{5}$ ?

Discussion

11.	In the given parallelogram ABCD, DP = BQ and ∠ADP=∠CBQ. To which triangle is ΔADP congruent to?
Answer» In the given parallelogram ABCD, DP = BQ and $∠ A D P = ∠ C B Q$ . To which triangle is $Δ A D P$ congruent to?

Discussion

12.	If mean = 28 and median = 30, then find the mode ?
Answer» If mean = 28 and median = 30, then find the mode ?

Discussion

13.	X24550Y4810100 What would be the constant that defines the value XY ?
Answer» $\begin{matrix} X & 2 & 4 & 5 & 50 Y & 4 & 8 & 10 & 100 \end{matrix}$ What would be the constant that defines the value $\frac{X}{Y}$ ?

13.

X24550Y4810100 What would be the constant that defines the value XY ?

Answer»

$\begin{matrix} X & 2 & 4 & 5 & 50 Y & 4 & 8 & 10 & 100 \end{matrix}$

What would be the constant that defines the value $\frac{X}{Y}$ ?

Discussion

14.	The diagonals of a rhombus are 16 cm and 12 cm. Find its area.
Answer» The diagonals of a rhombus are 16 cm and 12 cm. Find its area.

Discussion

15.	If a and b are non-zero integers, m and n are any integers, then which of the following are true?
Answer» If $a$ and $b$ are non-zero integers, $m$ and $n$ are any integers, then which of the following are true?

Discussion

16.	I have a number of the form abcd. How many digits does it have? __
Answer» I have a number of the form abcd. How many digits does it have? __

Discussion

17.	If 2a−3b=−1 and ab=12 then 8a3−27b3=
Answer» If $2 a - 3 b = - 1$ and $a b = 12$ then $8 a^{3} - 27 b^{3} =$

17.

If 2a−3b=−1 and ab=12 then 8a3−27b3=

Answer»

If $2 a - 3 b = - 1$ and $a b = 12$

then

$8 a^{3} - 27 b^{3} =$

Discussion

18.	If E=14.26.38.410...30623164=8x then value of x is:
Answer» If $E = \frac{1}{4} . \frac{2}{6} . \frac{3}{8} . \frac{4}{10} . . . \frac{30}{62} \frac{31}{64} = 8^{x}$ then value of x is:

Discussion

19.	Question 80 Fill in the blanks to make the statements true. The number of sides in a regular polygon having the measure of an exterior angle as 72∘ is ___.
Answer» Question 80 Fill in the blanks to make the statements true. The number of sides in a regular polygon having the measure of an exterior angle as $72^{\circ}$ is ___.

Discussion

20.	A solid block weighs 20 kg . Its volume is found to be 4000 cc. Find its density in g/cc and in kg/m^3.
Answer» A solid block weighs 20 kg . Its volume is found to be 4000 cc. Find its density in g/cc and in kg/m^3.

Discussion

21.	Question 21 In the following question, out of the four options, only one is correct. Write the correct answer: For a non-zero integer x,x7÷x12 is equal to: (a) x5 (b) x19 (c) x−5 (d) x−19
Answer» Question 21 In the following question, out of the four options, only one is correct. Write the correct answer: For a non-zero integer $x, x^{7} \div x^{12}$ is equal to: (a) $x^{5}$ (b) $x^{19}$ (c) $x^{- 5}$ (d) $x^{- 19}$

21.

Question 21 In the following question, out of the four options, only one is correct. Write the correct answer: For a non-zero integer x,x7÷x12 is equal to: (a) x5 (b) x19 (c) x−5 (d) x−19

Answer»

Question 21

In the following question, out of the four options, only one is correct. Write the correct answer:

For a non-zero integer $x, x^{7} \div x^{12}$ is equal to:
(a) $x^{5}$
(b) $x^{19}$
(c) $x^{- 5}$
(d) $x^{- 19}$

Discussion

22.	Roshan alone can build a fence in 20 days .He starts the work and leaves it after 5 days . Ramesh does the remaining work in 12 days.How long will it take if Ramesh did the whole work alone ? How long will it take if Roshan and Ramesh work together from the beginning ?
Answer» Roshan alone can build a fence in 20 days .He starts the work and leaves it after 5 days . Ramesh does the remaining work in 12 days.How long will it take if Ramesh did the whole work alone ? How long will it take if Roshan and Ramesh work together from the beginning ?

Discussion

23.	If the perimeter of a rectangle with dimensions (2x+10) and (x+20) is 240 cm, Find the dimensions.
Answer» If the perimeter of a rectangle with dimensions (2x+10) and (x+20) is 240 cm, Find the dimensions.

Discussion

24.	Question 14 By Remainder theorem, find the remainder when p(x) is divided by g(x). (i) p(x)=x3–2x2–4x–1, g(x)=x+1 (ii) p(x)=x3–3x2+4x+50, g(x)=x–3 (iii) p(x)=4x3–12x2+14x–3, g(x)=2x–1 (iv) p(x)=x3–6x2+2x−4, g(x)=1−32x
Answer» Question 14 By Remainder theorem, find the remainder when p(x) is divided by g(x). (i) $p (x) = x^{3} - 2 x^{2} - 4 x - 1, g (x) = x + 1$ (ii) $p (x) = x^{3} - 3 x^{2} + 4 x + 50, g (x) = x - 3$ (iii) $p (x) = 4 x^{3} - 12 x^{2} + 14 x - 3, g (x) = 2 x - 1$ (iv) $p (x) = x^{3} - 6 x^{2} + 2 x - 4, g (x) = 1 - \frac{3}{2} x$

Discussion

25.	A dealer bought 10 sewing machines of a particular type for ₹8000 and sold them at a profit equal to the selling price of three machines. Find the selling price of one machine?
Answer» A dealer bought 10 sewing machines of a particular type for ₹8000 and sold them at a profit equal to the selling price of three machines. Find the selling price of one machine?

Discussion

26.	Write the coordinates of the following points: [4 MARKS] 1. M 2. E 3. G 4. C
Answer» Write the coordinates of the following points: [4 MARKS] 1. M 2. E 3. G 4. C

26.

Write the coordinates of the following points: [4 MARKS] 1. M 2. E 3. G 4. C

Answer»

Write the coordinates of the following points: [4 MARKS]
1. M 2. E 3. G 4. C

Discussion

27.	The value of x in the following triangle is:
Answer» The value of x in the following triangle is:

27.

The value of x in the following triangle is:

Answer»

The value of x in the following triangle is:

Discussion

28.	If the cube root of 4913 is 17 then the cube root of 4.913 is:
Answer» If the cube root of 4913 is 17 then the cube root of 4.913 is:

Discussion

29.	How many numbers between 11 and 90 are divisible by 7?
Answer» How many numbers between 11 and 90 are divisible by 7?

Discussion

30.	42(4+2) = (42 × 4) + (42 × 2) is an example of:
Answer» 42(4+2) = (42 $\times$ 4) + (42 $\times$ 2) is an example of:

Discussion

31.	Simplify and factorise (a + b + c)² - (a - b - c)² + 4b² - 4c²
Answer» Simplify and factorise (a + b + c)² - (a - b - c)² + 4b² - 4c²

Discussion

32.	A carton consists of 100 shirts of which 88 are good and 8 have minor defrects. Rohit, a trader, will only accept the shirts which are good. But, Kamal, an another trader, will only reject the shirts which have major defects. One shirt is drawn at random from the carton. What is the probability that it is acceptable to (i) Rohit (ii) Kamal [4 Marks]
Answer» A carton consists of 100 shirts of which 88 are good and 8 have minor defrects. Rohit, a trader, will only accept the shirts which are good. But, Kamal, an another trader, will only reject the shirts which have major defects. One shirt is drawn at random from the carton. What is the probability that it is acceptable to (i) Rohit (ii) Kamal [4 Marks]

Discussion

33.	In the figure given below, identify the transversal lines.
Answer» In the figure given below, identify the transversal lines.

33.

In the figure given below, identify the transversal lines.

Answer»

In the figure given below, identify the transversal lines.

Discussion

34.	Compare the following rational numbers -7/24 and 9/-20
Answer» Compare the following rational numbers -7/24 and 9/-20

34.

Compare the following rational numbers -7/24 and 9/-20

Answer»

Compare the following rational numbers

-7/24 and 9/-20

Discussion

35.	For the equation 3x+5=17, what will be the value of x?
Answer» For the equation 3x+5=17, what will be the value of x?

Discussion

36.	In a class, the teacher asks the students to name a few scientists. Following were the names that they came up with - Einstein, Newton, Einstein, Faraday, Tesla, Hawking, Einstein, Tesla, Tesla, Faraday, Einstein. Who is the most famous scientist?
Answer» In a class, the teacher asks the students to name a few scientists. Following were the names that they came up with - Einstein, Newton, Einstein, Faraday, Tesla, Hawking, Einstein, Tesla, Tesla, Faraday, Einstein. Who is the most famous scientist?

Discussion

37.	Subtraction is associative for:
Answer» Subtraction is associative for:

Discussion

38.	Calculate the sum of angles of a polygon with : (i) 10 sides (ii) 12 sides (iii) 20 sides (iv) 25 sides.
Answer» Calculate the sum of angles of a polygon with : (i) 10 sides (ii) 12 sides (iii) 20 sides (iv) 25 sides.

38.

Calculate the sum of angles of a polygon with : (i) 10 sides (ii) 12 sides (iii) 20 sides (iv) 25 sides.

Answer»

Calculate the sum of angles of a polygon with :

(i) 10 sides (ii) 12 sides (iii) 20 sides (iv) 25 sides.

Discussion

39.	Simplify: [(5z−2)2+40z]÷(5z+2)
Answer» Simplify: $[{(5 z - 2)}^{2} + 40 z] \div (5 z + 2)$

Discussion

40.	For x=13 and y=27, verify that x+y=y+x [2 MARKS]
Answer» For $x = \frac{1}{3}$ and $y = \frac{2}{7}$ , verify that $x + y = y + x$ [2 MARKS]

Discussion

41.	Which of the following is/are a random experiment?
Answer» Which of the following is/are a random experiment?

Discussion

42.	A cuboid is of the following dimensions 24 cm×14 cm×8 cm. How many small cubes of side 4 cm can be placed in the given cuboid? [2 MARKS]
Answer» A cuboid is of the following dimensions $24 c m \times 14 c m \times 8 c m$ . How many small cubes of side 4 cm can be placed in the given cuboid? [2 MARKS]

Discussion

43.	Question 7 In the class intervals, 10 - 20, 20 - 30, the number 20 is included in: A) 10 - 20 B) 20 - 30 C) Both the intervals D) None of these
Answer» Question 7 In the class intervals, 10 - 20, 20 - 30, the number 20 is included in: A) 10 - 20 B) 20 - 30 C) Both the intervals D) None of these

Discussion

44.	The area of a triangular kite with perimeter 80 cm and sides in ratio 3 : 3 : 4 is
Answer» The area of a triangular kite with perimeter 80 cm and sides in ratio 3 : 3 : 4 is

Discussion

45.	When a rational number is subtracted from 134 , it yields 112 .Then, the rational number will be .
Answer» When a rational number is subtracted from $1 \frac{3}{4}$ , it yields $\frac{1}{12}$ .Then, the rational number will be .

Discussion

46.	The value of a residential flat constructed at a cost of Rs 1,00,000 is depreciating at the rate of 10% p.a. What will be its value 3 years after construction?
Answer» The value of a residential flat constructed at a cost of Rs 1,00,000 is depreciating at the rate of 10% p.a. What will be its value 3 years after construction?

Discussion

47.	Use the information given in the adjoining figure to find: (i)The length of AC. (ii)The are a of ΔABC. (iii)The length of BD, correct to one decimal place.
Answer» Use the information given in the adjoining figure to find: (i)The length of AC. (ii)The are a of $Δ A B C .$ (iii)The length of BD, correct to one decimal place.

47.

Use the information given in the adjoining figure to find: (i)The length of AC. (ii)The are a of ΔABC. (iii)The length of BD, correct to one decimal place.

Answer»

Use the information given in the adjoining figure to find:

(i)The length of AC.

(ii)The are a of $Δ A B C .$

(iii)The length of BD, correct to one decimal place.

Discussion

48.	Simplify : (22×3)×(23×4)220 [3 MARKS]
Answer» Simplify : $\frac{(2^{2 \times 3}) \times (2^{3 \times 4})}{2^{20}}$ [3 MARKS]

Discussion

49.	A secretary and a trainee are processing a pile of 124 forms. The secretary processes 15 forms per hour while the trainee processes 7 forms per hour. If the trainee begins working at 9:00 am. and the secretary starts working after 2 hours, then at what time will they finish the pile of forms?
Answer» A secretary and a trainee are processing a pile of 124 forms. The secretary processes 15 forms per hour while the trainee processes 7 forms per hour. If the trainee begins working at 9:00 am. and the secretary starts working after 2 hours, then at what time will they finish the pile of forms?

Discussion

50.	A man sold an article for Rs 396 and gained 10% on it. Find the cost price of the article.
Answer» A man sold an article for Rs 396 and gained 10% on it. Find the cost price of the article.

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

Question 112 A rectangular sheet of dimensions 25 cm×7 cm is rotated about its longer side. Find the volume and the whole surface area of the solid thus generated.

Factorize: x2+6x+8=?(a) (x+3)(x+5)(b) (x+3)(x+4)(c) (x+2)(x+4)(d) (x+1)(x+8)

Find each of the following products: (4x+9)×(x−6)

A cistern has two inlets A and B which can fill it in 12 hours and 15 hours respectively. An outlet can empty the full cistern in 10 hours. If all the three pipes are opened together in the empty cistern, how much tiem will they take to fill the cistern completely?

Question 71 (iv) It is given that l varies directly as m. Find m, when l is 8.

A retailer buys a radio for Rs. 225. His overhead expenses are Rs. 15. If he sells the radio for Rs. 300, determine his profit percent.

The area of a trapezium with equal non-parallel sides is 168 m2. If the lengths of the parallel sides are 36m and 20m, then find the length of the non-parallel sides.

Question 43 State whether the following statement is true (T) or false (F). If x3+1=715, then x3=615

Question 58 If xy is the additive inverse of cd, then xy+cd=0

What should be added to - 1 to get −35 ?

In the given parallelogram ABCD, DP = BQ and ∠ADP=∠CBQ. To which triangle is ΔADP congruent to?

If mean = 28 and median = 30, then find the mode ?

X24550Y4810100 What would be the constant that defines the value XY ?​​​​​​

The diagonals of a rhombus are 16 cm and 12 cm. Find its area.

If a and b are non-zero integers, m and n are any integers, then which of the following are true?

I have a number of the form abcd. How many digits does it have? __

If 2a−3b=−1 and ab=12 then 8a3−27b3=

If E=14.26.38.410...30623164=8x then value of x is:

Question 80 Fill in the blanks to make the statements true. The number of sides in a regular polygon having the measure of an exterior angle as 72∘ is ___.

A solid block weighs 20 kg . Its volume is found to be 4000 cc. Find its density in g/cc and in kg/m^3.

Question 21 In the following question, out of the four options, only one is correct. Write the correct answer: For a non-zero integer x,x7÷x12 is equal to: (a) x5 (b) x19 (c) x−5 (d) x−19

Roshan alone can build a fence in 20 days .He starts the work and leaves it after 5 days . Ramesh does the remaining work in 12 days.How long will it take if Ramesh did the whole work alone ? How long will it take if Roshan and Ramesh work together from the beginning ?

If the perimeter of a rectangle with dimensions (2x+10) and (x+20) is 240 cm, Find the dimensions.

Question 14 By Remainder theorem, find the remainder when p(x) is divided by g(x). (i) p(x)=x3–2x2–4x–1, g(x)=x+1 (ii) p(x)=x3–3x2+4x+50, g(x)=x–3 (iii) p(x)=4x3–12x2+14x–3, g(x)=2x–1 (iv) p(x)=x3–6x2+2x−4, g(x)=1−32x

A dealer bought 10 sewing machines of a particular type for ₹8000 and sold them at a profit equal to the selling price of three machines. Find the selling price of one machine?

Write the coordinates of the following points: [4 MARKS] 1. M 2. E 3. G 4. C

The value of x in the following triangle is:

If the cube root of 4913 is 17 then the cube root of 4.913 is:

How many numbers between 11 and 90 are divisible by 7?

42(4+2) = (42 × 4) + (42 × 2) is an example of:

Simplify and factorise (a + b + c)² - (a - b - c)² + 4b² - 4c²

In the figure given below, identify the transversal lines.

Compare the following rational numbers -7/24 and 9/-20

For the equation 3x+5=17, what will be the value of x?

In a class, the teacher asks the students to name a few scientists. Following were the names that they came up with - Einstein, Newton, Einstein, Faraday, Tesla, Hawking, Einstein, Tesla, Tesla, Faraday, Einstein. Who is the most famous scientist?

Subtraction is associative for:

Calculate the sum of angles of a polygon with : (i) 10 sides (ii) 12 sides (iii) 20 sides (iv) 25 sides.

Simplify: [(5z−2)2+40z]÷(5z+2)

For x=13 and y=27, verify that x+y=y+x [2 MARKS]

Which of the following is/are a random experiment?

A cuboid is of the following dimensions 24 cm×14 cm×8 cm. How many small cubes of side 4 cm can be placed in the given cuboid? [2 MARKS]

Question 7 In the class intervals, 10 - 20, 20 - 30, the number 20 is included in: A) 10 - 20 B) 20 - 30 C) Both the intervals D) None of these

The area of a triangular kite with perimeter 80 cm and sides in ratio 3 : 3 : 4 is

When a rational number is subtracted from 134 , it yields 112 .Then, the rational number will be .

The value of a residential flat constructed at a cost of Rs 1,00,000 is depreciating at the rate of 10% p.a. What will be its value 3 years after construction?

Use the information given in the adjoining figure to find: (i)The length of AC. (ii)The are a of ΔABC. (iii)The length of BD, correct to one decimal place.

Simplify : (22×3)×(23×4)220 [3 MARKS]

A secretary and a trainee are processing a pile of 124 forms. The secretary processes 15 forms per hour while the trainee processes 7 forms per hour. If the trainee begins working at 9:00 am. and the secretary starts working after 2 hours, then at what time will they finish the pile of forms?

A man sold an article for Rs 396 and gained 10% on it. Find the cost price of the article.

X24550Y4810100 What would be the constant that defines the value XY ?