25365 + Interview Questions in Mathematics

1.	Factorise the expression: m2+mn+3m+3n.
Answer» Factorise the expression: $m^{2} + m n + 3 m + 3 n .$

Discussion

2.	Find the product of (x2y2 - 2)(1 - 2x2y2) and verify the result for x= -1 and y= 2
Answer» Find the product of (x²y² - 2)(1 - 2x²y²) and verify the result for x= -1 and y= 2

Discussion

3.	The base and corresponding height of a parallelogram is 6 m and 8 m respectively. The area of the parallelogram is ___ m2.
Answer» The base and corresponding height of a parallelogram is 6 m and 8 m respectively. The area of the parallelogram is ___ $m^{2}$ .

Discussion

4.	A cycle shop allows a discount of 25% on the marked price and earns a profit of 20% on the cost price. Its marked price on which shop earns ₹ 40 is:
Answer» A cycle shop allows a discount of $25 %$ on the marked price and earns a profit of $20 %$ on the cost price. Its marked price on which shop earns ₹ 40 is:

Discussion

5.	Construction of quadrilaterals when three sides and two diagonals are given: 2. Construct a quadrilateral ABCD in which AB = 4 cm BC = 3.8 cm, AD = 3 cm, diagonal AC = 5 cm and diagonal BD = 4.6 cm.
Answer» Construction of quadrilaterals when three sides and two diagonals are given: 2. Construct a quadrilateral ABCD in which AB = 4 cm BC = 3.8 cm, AD = 3 cm, diagonal AC = 5 cm and diagonal BD = 4.6 cm.

Discussion

6.	A fan is marked at Rs.840, it is sold for Rs. 710. Find the discount offered. Kindly answer with full explanation.
Answer» A fan is marked at Rs.840, it is sold for Rs. 710. Find the discount offered. Kindly answer with full explanation.

6.

A fan is marked at Rs.840, it is sold for Rs. 710. Find the discount offered. Kindly answer with full explanation.

Answer»

A fan is marked at Rs.840, it is sold for Rs. 710. Find the discount offered.

Kindly answer with full explanation.

Discussion

7.	Question 2 (v) Find the number of digits in the square root of each of the following numbers (without any calculation): 390625
Answer» Question 2 (v) Find the number of digits in the square root of each of the following numbers (without any calculation): 390625

7.

Question 2 (v) Find the number of digits in the square root of each of the following numbers (without any calculation): 390625

Answer»

Question 2 (v)
Find the number of digits in the square root of each of the following numbers (without any calculation):

390625

Discussion

8.	The type of graph which should be used to represent the given data is a ___ Weights(Kg)40−4545−5050−5555−6060−65No. of Person4121365.
Answer» The type of graph which should be used to represent the given data is a ___ $\begin{matrix} Weights (K g) & 40 - 45 & 45 - 50 & 50 - 55 & 55 - 60 & 60 - 65 No. of Person & 4 & 12 & 13 & 6 & 5 \end{matrix}$ .

8.

The type of graph which should be used to represent the given data is a ___ Weights(Kg)40−4545−5050−5555−6060−65No. of Person4121365.

Answer»

The type of graph which should be used to represent the given data is a

___

$\begin{matrix} Weights (K g) & 40 - 45 & 45 - 50 & 50 - 55 & 55 - 60 & 60 - 65 No. of Person & 4 & 12 & 13 & 6 & 5 \end{matrix}$ .

Discussion

9.	From a point P outside a circle with centre at C,tangents PA and PB are drawn such that 1(CA)2+1(PA)2=116 , then the length of chord AB is
Answer» From a point P outside a circle with centre at C,tangents PA and PB are drawn such that $\frac{1}{(C A)^{2}} + \frac{1}{(P A)^{2}} = \frac{1}{16}$ , then the length of chord AB is

Discussion

10.	Kavitha and Pradeep are partners, sharing profits in the ratio of 3:2. They employed Chandan as their manager, to whom they paid a salary of Rs 750 pm. Chandan deposited Rs 20,000 on which interest is payable 9% pa. At the end of 2001 (after the division of profit), it was decided that Chandan should be treated as partner w.e.f. Jan 1, 1998 with 16th share in profits. His deposit being considered as capital carrying interest 6% pa like capital of other partners. Firm's profits after allowing interest on capital were as follows (Rs) 2001 Profit 59,000 2002 Profit 62,000 2003 Loss (4,000) 2004 Profit 78,000 Record the necessary journal entries to give effect to the above.
Answer» Kavitha and Pradeep are partners, sharing profits in the ratio of 3:2. They employed Chandan as their manager, to whom they paid a salary of Rs 750 pm. Chandan deposited Rs 20,000 on which interest is payable 9% pa. At the end of 2001 (after the division of profit), it was decided that Chandan should be treated as partner w.e.f. Jan 1, 1998 with $\frac{1}{6} t h$ share in profits. His deposit being considered as capital carrying interest 6% pa like capital of other partners. Firm's profits after allowing interest on capital were as follows (Rs) 2001 Profit 59,000 2002 Profit 62,000 2003 Loss (4,000) 2004 Profit 78,000 Record the necessary journal entries to give effect to the above.

10.

Kavitha and Pradeep are partners, sharing profits in the ratio of 3:2. They employed Chandan as their manager, to whom they paid a salary of Rs 750 pm. Chandan deposited Rs 20,000 on which interest is payable 9% pa. At the end of 2001 (after the division of profit), it was decided that Chandan should be treated as partner w.e.f. Jan 1, 1998 with 16th share in profits. His deposit being considered as capital carrying interest 6% pa like capital of other partners. Firm's profits after allowing interest on capital were as follows (Rs) 2001 Profit 59,000 2002 Profit 62,000 2003 Loss (4,000) 2004 Profit 78,000 Record the necessary journal entries to give effect to the above.

Answer»

Kavitha and Pradeep are partners, sharing profits in the ratio of 3:2. They employed Chandan as their manager, to whom they paid a salary of Rs 750 pm. Chandan deposited Rs 20,000 on which interest is payable 9% pa. At the end of 2001 (after the division of profit), it was decided that Chandan should be treated as partner w.e.f. Jan 1, 1998 with $\frac{1}{6} t h$ share in profits. His deposit being considered as capital carrying interest 6% pa like capital of other partners. Firm's profits after allowing interest on capital were as follows

(Rs)

2001 Profit 59,000

2002 Profit 62,000

2003 Loss (4,000)

2004 Profit 78,000

Record the necessary journal entries to give effect to the above.

Discussion

11.	A car has to travel 0.121 km to reach from A to B. If the radius of the tyre is 7 cm, how many times will the tire rotate while the car travels from A to B? (Use π = 227) ___
Answer» A car has to travel 0.121 km to reach from A to B. If the radius of the tyre is 7 cm, how many times will the tire rotate while the car travels from A to B? (Use π = $\frac{22}{7}$ ) ___

Discussion

12.	An article marked at ₹ 5000 is sold for ₹ 4200. Find the discount and discount percentage
Answer» An article marked at ₹ 5000 is sold for ₹ 4200. Find the discount and discount percentage

Discussion

13.	If a+b=1 and a−b=7 ; Find (i) (a2+b2) (ii) ab
Answer» If $a + b = 1$ and $a - b = 7$ ; Find (i) $(a^{2} + b^{2})$ (ii) $a b$

13.

If a+b=1 and a−b=7 ; Find (i) (a2+b2) (ii) ab

Answer»

If $a + b = 1$ and $a - b = 7$ ;

Find

(i) $(a^{2} + b^{2})$ (ii) $a b$

Discussion

14.	Question 2 Which of the following will not form a polyhedron? (a) 3 triangles (b) 2 triangles and 3 parallelograms (c) 8 triangles (d) 1 pentagon and 5 triangles
Answer» Question 2 Which of the following will not form a polyhedron? (a) 3 triangles (b) 2 triangles and 3 parallelograms (c) 8 triangles (d) 1 pentagon and 5 triangles

Discussion

15.	Factorise : x(a−3)+y(3−a)
Answer» Factorise : $x (a - 3) + y (3 - a)$

Discussion

16.	Swati took a loan for Rs. 16000 against her insurance policy at the rate of 1212% per annum. Calculate the total compound interest payable by Swati after 3 years.
Answer» Swati took a loan for Rs. 16000 against her insurance policy at the rate of $12 \frac{1}{2} %$ per annum. Calculate the total compound interest payable by Swati after 3 years.

Discussion

17.	Solve each of the following equations and also verify your solution : 7x+35=110
Answer» Solve each of the following equations and also verify your solution : $\frac{7}{x} + 35 = \frac{1}{10}$

17.

Solve each of the following equations and also verify your solution : 7x+35=110

Answer»

Solve each of the following equations and also verify your solution :

$\frac{7}{x} + 35 = \frac{1}{10}$

Discussion

18.	Which of the following is a factor of (49x2−1)+(1+7x)2
Answer» Which of the following is a factor of $(49 x^{2} - 1) + (1 + 7 x)^{2}$

Discussion

19.	14x2−12x−12 by 12x−4
Answer» $\frac{1}{4} x^{2} - \frac{1}{2} x - 12 b y \frac{1}{2} x - 4$

Discussion

20.	The area of a square field is 60025 m2.A man cycles along its boundary at 18 km/hr.In how much time will be return a starting point.
Answer» The area of a square field is 60025 $m^{2}$ .A man cycles along its boundary at 18 km/hr.In how much time will be return a starting point.

Discussion

21.	Look at the bar graph given below. Read it carefully and answer the following questions. (i) What information does the bar graph give ? (ii) In which subject is the student very good ? (iii) In which subject is he poor ? (iv) What are the average of his marks ?
Answer» Look at the bar graph given below. Read it carefully and answer the following questions. (i) What information does the bar graph give ? (ii) In which subject is the student very good ? (iii) In which subject is he poor ? (iv) What are the average of his marks ?

21.

Look at the bar graph given below. Read it carefully and answer the following questions. (i) What information does the bar graph give ? (ii) In which subject is the student very good ? (iii) In which subject is he poor ? (iv) What are the average of his marks ?

Answer»

Look at the bar graph given below.

Read it carefully and answer the following questions.

(i) What information does the bar graph give ?

(ii) In which subject is the student very good ?

(iii) In which subject is he poor ?

(iv) What are the average of his marks ?

Discussion

22.	Question 2(v) State True or False. The cube of a two digit number may be a three digit number.
Answer» Question 2(v) State True or False. The cube of a two digit number may be a three digit number.

22.

Question 2(v) State True or False. The cube of a two digit number may be a three digit number.

Answer»

Question 2(v)

State True or False.
The cube of a two digit number may be a three digit number.

Discussion

23.	Question 29 The number of sides of a regular polygon in which each exterior angle has a measure of 45∘ is a) 8 b) 10 c) 4 d) 6
Answer» Question 29 The number of sides of a regular polygon in which each exterior angle has a measure of $45^{\circ}$ is a) 8 b) 10 c) 4 d) 6

Discussion

24.	The value of (2528)×2−7 is
Answer» The value of $(\frac{2^{5}}{2^{8}}) \times 2^{- 7}$ is

Discussion

25.	The total surface area of a hemisphere having radius r is _____ .
Answer» The total surface area of a hemisphere having radius r is _____ .

Discussion

26.	In a model of a train, the engine of the train is 9 cm long,while the engine of the actual train is 24 m long. If the length of the engine is 38 m, how long will be the engine in the model train?
Answer» In a model of a train, the engine of the train is 9 cm long,while the engine of the actual train is 24 m long. If the length of the engine is 38 m, how long will be the engine in the model train?

26.

In a model of a train, the engine of the train is 9 cm long,while the engine of the actual train is 24 m long. If the length of the engine is 38 m, how long will be the engine in the model train?

Answer»

In a model of a train, the engine of the train is 9 cm long,while the engine of the actual train is 24 m long. If the length of the engine is 38 m, how long will be the engine in the model train?

Discussion

27.	Q.1) A quadrilateral ABCD has all it's angles of the same measure. What is the measure of each angle? Q.2) ABCD is a quadrilateral in which AD \|\| BC. If angle A = 130°, what are the measures of the other two angles?
Answer» Q.1) A quadrilateral ABCD has all it's angles of the same measure. What is the measure of each angle? Q.2) ABCD is a quadrilateral in which AD \|\| BC. If angle A = 130°, what are the measures of the other two angles?

Discussion

28.	The digit in the units place in the cube of 298 is
Answer» The digit in the units place in the cube of 298 is

Discussion

29.	Rain water from a rectangular 22 m × 20 m roof drains into a cylindrical vessel of diameter 2m and height 3.5 m. If the rain water collected from the roof fills 45 th of the cylindrical vessel then find the rainfall in cm
Answer» Rain water from a rectangular 22 m $\times$ 20 m roof drains into a cylindrical vessel of diameter 2m and height 3.5 m. If the rain water collected from the roof fills $\frac{4}{5}$ th of the cylindrical vessel then find the rainfall in cm

Discussion

30.	Find three consecutive odd numbers whose sum is 219
Answer» Find three consecutive odd numbers whose sum is 219

Discussion

31.	Question 83 Fill in the blanks to make the statements true. A nonagon has ___ sides.
Answer» Question 83 Fill in the blanks to make the statements true. A nonagon has ___ sides.

Discussion

32.	Compound interest on a sum of ₹ 5000 in 1.5 years when interest is compounded half-yearly at the rate 20% per annum is
Answer» Compound interest on a sum of ₹ 5000 in 1.5 years when interest is compounded half-yearly at the rate $20 %$ per annum is

Discussion

33.	Question 113 (ii) Study the layout given in the figure and answer the questions. Write an expression to calculate the perimeter of the living room.
Answer» Question 113 (ii) Study the layout given in the figure and answer the questions. Write an expression to calculate the perimeter of the living room.

33.

Question 113 (ii) Study the layout given in the figure and answer the questions. Write an expression to calculate the perimeter of the living room.

Answer»

Question 113 (ii)

Study the layout given in the figure and answer the questions.

Write an expression to calculate the perimeter of the living room.

Discussion

34.	Choose the option that gives the top view of the below given solid.
Answer» Choose the option that gives the top view of the below given solid.

Discussion

35.	What is the value of a3−b3 ?
Answer» What is the value of $a^{3} - b^{3}$ ?

Discussion

36.	An electric pole, 14 m high, casts a shadow of 10 m. Find the height of a tree that casts a shadow of 15 m.
Answer» An electric pole, 14 m high, casts a shadow of 10 m. Find the height of a tree that casts a shadow of 15 m.

Discussion

37.	Shweta and Meena can complete a piece of work in 45 days. Shweta alone can complete the same work in 60 days. Then Meena alone will be able to complete the same work in
Answer» Shweta and Meena can complete a piece of work in 45 days. Shweta alone can complete the same work in 60 days. Then Meena alone will be able to complete the same work in

Discussion

38.	What is the quotient if 18(a2bc + ab2c + abc2) is divided by 6abc?
Answer» What is the quotient if 18(a²bc + ab²c + abc²) is divided by 6abc?

Discussion

39.	Solve:- 4x−2−2x+1=0
Answer» Solve:- $4^{x - 2} - 2^{x + 1} = 0$

Discussion

40.	Factorise the following using appropriate identities: x2−y2100 [2 MARKS]
Answer» Factorise the following using appropriate identities: $x^{2} - \frac{y^{2}}{100}$ [2 MARKS]

Discussion

41.	What is the value of x in the figure given below if it is known that perimeter of triangle is 86 ? [3 MARKS]
Answer» What is the value of x in the figure given below if it is known that perimeter of triangle is 86 ? [3 MARKS]

41.

What is the value of x in the figure given below if it is known that perimeter of triangle is 86 ? [3 MARKS]

Answer»

What is the value of x in the figure given below if it is known that perimeter of triangle is 86 ?
[3 MARKS]

Discussion

42.	Statement 1: Perimeter of a rectangle is 2 (length of one side + length of adjacent side). Statement 2: Perimeter of any parallelogram can be given by 2 (length of one side + length of adjacent side). Pick the correct option.
Answer» Statement 1: Perimeter of a rectangle is 2 (length of one side + length of adjacent side). Statement 2: Perimeter of any parallelogram can be given by 2 (length of one side + length of adjacent side). Pick the correct option.

42.

Statement 1: Perimeter of a rectangle is 2 (length of one side + length of adjacent side). Statement 2: Perimeter of any parallelogram can be given by 2 (length of one side + length of adjacent side). Pick the correct option.

Answer»

Statement 1: Perimeter of a rectangle is 2 (length of one side + length of adjacent side).

Statement 2: Perimeter of any parallelogram can be given by 2 (length of one side + length of adjacent side).

Pick the correct option.

Discussion

43.	There is a rectangular park whose length is 20 m and width is 10 m. What is the length of fence surrounding it?
Answer» There is a rectangular park whose length is 20 m and width is 10 m. What is the length of fence surrounding it?

Discussion

44.	The cost price of an article is Rs. 2.400 and it is marked at 25% above the cost price. Find the profit and the profit percent, if the article is sold at 15% discount.
Answer» The cost price of an article is Rs. 2.400 and it is marked at 25% above the cost price. Find the profit and the profit percent, if the article is sold at 15% discount.

Discussion

45.	If a2+1a2=23; find a+1a
Answer» If $a^{2} + \frac{1}{a^{2}} = 23; f i n d a + \frac{1}{a}$

Discussion

46.	If ΔABC∼ΔDEF, AB = 4cm, DE = 6, EF = 9cm and FD = 12cm, then find the perimeter of ΔABC.
Answer» If $Δ A B C \sim Δ D E F$ , AB = 4cm, DE = 6, EF = 9cm and FD = 12cm, then find the perimeter of $Δ A B C$ .

Discussion

47.	Divide (6ab−b2+12ac−2bc) by (6a−b).
Answer» Divide $(6 a b - b^{2} + 12 a c - 2 b c) b y (6 a - b)$ .

Discussion

48.	Question 17 Common factor between 17abc,34ab2,51a2b is a) 17abc b) 17ab c) 17ac d) 17a2b2c
Answer» Question 17 Common factor between $17 a b c, 34 a b^{2}, 51 a^{2} b$ is a) $17 a b c$ b) $17 a b$ c) $17 a c$ d) $17 a^{2} b^{2} c$

Discussion

49.	What is the proof for Heron's formula?
Answer» What is the proof for Heron's formula?

Discussion

50.	If one edge of a cube measures 4 cm, the volume of the cube is:
Answer» If one edge of a cube measures 4 cm, the volume of the cube is:

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

Factorise the expression: m2+mn+3m+3n.

Find the product of (x2y2 - 2)(1 - 2x2y2) and verify the result for x= -1 and y= 2

The base and corresponding height of a parallelogram is 6 m and 8 m respectively. The area of the parallelogram is ___ m2.

A cycle shop allows a discount of 25% on the marked price and earns a profit of 20% on the cost price. Its marked price on which shop earns ₹ 40 is:

Construction of quadrilaterals when three sides and two diagonals are given: 2. Construct a quadrilateral ABCD in which AB = 4 cm BC = 3.8 cm, AD = 3 cm, diagonal AC = 5 cm and diagonal BD = 4.6 cm.

A fan is marked at Rs.840, it is sold for Rs. 710. Find the discount offered. Kindly answer with full explanation.

Question 2 (v) Find the number of digits in the square root of each of the following numbers (without any calculation): 390625

The type of graph which should be used to represent the given data is a ___ Weights(Kg)40−4545−5050−5555−6060−65No. of Person4121365.

From a point P outside a circle with centre at C,tangents PA and PB are drawn such that 1(CA)2+1(PA)2=116 , then the length of chord AB is

A car has to travel 0.121 km to reach from A to B. If the radius of the tyre is 7 cm, how many times will the tire rotate while the car travels from A to B? (Use π = 227) ___

An article marked at ₹ 5000 is sold for ₹ 4200. Find the discount and discount percentage

If a+b=1 and a−b=7 ; Find (i) (a2+b2) (ii) ab

Question 2 Which of the following will not form a polyhedron? (a) 3 triangles (b) 2 triangles and 3 parallelograms (c) 8 triangles (d) 1 pentagon and 5 triangles

Factorise : x(a−3)+y(3−a)

Swati took a loan for Rs. 16000 against her insurance policy at the rate of 1212% per annum. Calculate the total compound interest payable by Swati after 3 years.

Solve each of the following equations and also verify your solution : 7x+35=110

Which of the following is a factor of (49x2−1)+(1+7x)2

14x2−12x−12 by 12x−4

The area of a square field is 60025 m2.A man cycles along its boundary at 18 km/hr.In how much time will be return a starting point.

Look at the bar graph given below. Read it carefully and answer the following questions. (i) What information does the bar graph give ? (ii) In which subject is the student very good ? (iii) In which subject is he poor ? (iv) What are the average of his marks ?

Question 2(v) State True or False. The cube of a two digit number may be a three digit number.

Question 29 The number of sides of a regular polygon in which each exterior angle has a measure of 45∘ is a) 8 b) 10 c) 4 d) 6

The value of (2528)×2−7 is

The total surface area of a hemisphere having radius r is _____ .

In a model of a train, the engine of the train is 9 cm long,while the engine of the actual train is 24 m long. If the length of the engine is 38 m, how long will be the engine in the model train?

Q.1) A quadrilateral ABCD has all it's angles of the same measure. What is the measure of each angle? Q.2) ABCD is a quadrilateral in which AD || BC. If angle A = 130°, what are the measures of the other two angles?

The digit in the units place in the cube of 298 is

Rain water from a rectangular 22 m × 20 m roof drains into a cylindrical vessel of diameter 2m and height 3.5 m. If the rain water collected from the roof fills 45 th of the cylindrical vessel then find the rainfall in cm

Find three consecutive odd numbers whose sum is 219

Question 83 Fill in the blanks to make the statements true.​​​​​​​ ​​​​​​​A nonagon has ___ sides.

Compound interest on a sum of ₹ 5000 in 1.5 years when interest is compounded half-yearly at the rate 20% per annum is

Question 113 (ii) Study the layout given in the figure and answer the questions. Write an expression to calculate the perimeter of the living room.

Choose the option that gives the top view of the below given solid.

What is the value of a3−b3 ?

An electric pole, 14 m high, casts a shadow of 10 m. Find the height of a tree that casts a shadow of 15 m.

Shweta and Meena can complete a piece of work in 45 days. Shweta alone can complete the same work in 60 days. Then Meena alone will be able to complete the same work in

What is the quotient if 18(a2bc + ab2c + abc2) is divided by 6abc?

Solve:- 4x−2−2x+1=0

Factorise the following using appropriate identities: x2−y2100 [2 MARKS]

What is the value of x in the figure given below if it is known that perimeter of triangle is 86 ? [3 MARKS]

Statement 1: Perimeter of a rectangle is 2 (length of one side + length of adjacent side). Statement 2: Perimeter of any parallelogram can be given by 2 (length of one side + length of adjacent side). Pick the correct option.

There is a rectangular park whose length is 20 m and width is 10 m. What is the length of fence surrounding it?

The cost price of an article is Rs. 2.400 and it is marked at 25% above the cost price. Find the profit and the profit percent, if the article is sold at 15% discount.

If a2+1a2=23; find a+1a

If ΔABC∼ΔDEF, AB = 4cm, DE = 6, EF = 9cm and FD = 12cm, then find the perimeter of ΔABC.

Divide (6ab−b2+12ac−2bc) by (6a−b).

Question 17 Common factor between 17abc,34ab2,51a2b is a) 17abc b) 17ab c) 17ac d) 17a2b2c

What is the proof for Heron's formula?

If one edge of a cube measures 4 cm, the volume of the cube is:

Question 83 Fill in the blanks to make the statements true. A nonagon has ___ sides.