25365 + Interview Questions in Mathematics

1.	How many consecutive odd numbers will be needed to obtain the sum as 63 ?
Answer» How many consecutive odd numbers will be needed to obtain the sum as $6^{3}$ ?

Discussion

2.	Twenty one cylindrical pillars of the Parliament House are to be cleaned. If the diametre of each pillar is 0.50m and height is 4m, What will be the cost of cleaning them at the rate of Rs. 2.50 per square metre?
Answer» Twenty one cylindrical pillars of the Parliament House are to be cleaned. If the diametre of each pillar is 0.50m and height is 4m, What will be the cost of cleaning them at the rate of Rs. 2.50 per square metre?

Discussion

3.	Question 57 The number of workers and the time to complete a job is a case of direct proportion.
Answer» Question 57 The number of workers and the time to complete a job is a case of direct proportion.

3.

Question 57 The number of workers and the time to complete a job is a case of direct proportion.

Answer»

Question 57

The number of workers and the time to complete a job is a case of direct proportion.

Discussion

4.	A toy is in the form of a cone mounted on a hemisphere. The diameter of the base and the height of the cone are 6cm and 4cm respectively. Determine the surface area of the toy. (Use π= 3.14)undefinedundefinedundefinedundefined
Answer» A toy is in the form of a cone mounted on a hemisphere. The diameter of the base and the height of the cone are 6cm and 4cm respectively. Determine the surface area of the toy. (Use $π$ = 3.14) undefined undefined undefined undefined

Discussion

5.	A man got a 10% increase in his salary. If his new salary is Rs 1,54,000, find his original salary.
Answer» A man got a 10% increase in his salary. If his new salary is Rs 1,54,000, find his original salary.

Discussion

6.	Given that a, b and c are three consecutive multiples of 5. Choose the correct option.
Answer» Given that a, b and c are three consecutive multiples of 5. Choose the correct option.

Discussion

7.	If √2=1.414, then √√2−1√2+1=
Answer» If $\sqrt{2} = 1.414,$ then $\sqrt{\frac{\sqrt{2} - 1}{\sqrt{2} + 1}} =$

Discussion

8.	Q. एक परीक्षा में x लड़के और y लड़कियां सम्मिलित होते हैं। यदि x:y का अनुपात 11:13 दिया गया है, तो निम्नलिखित में से कौन-सी संख्या परीक्षा में सम्मिलित विद्यार्थियों की कुल संख्या हो सकती है?
Answer» Q. एक परीक्षा में $x$ लड़के और $y$ लड़कियां सम्मिलित होते हैं। यदि $x : y$ का अनुपात $11 : 13$ दिया गया है, तो निम्नलिखित में से कौन-सी संख्या परीक्षा में सम्मिलित विद्यार्थियों की कुल संख्या हो सकती है?

Discussion

9.	Prove that a positive integer n is prime, if no prime p less than or equal to √n divides n. From RD Sharma class 10 HOTS.
Answer» Prove that a positive integer n is prime, if no prime p less than or equal to √n divides n. From RD Sharma class 10 HOTS.

Discussion

10.	The organizers of an essay competition decide that a winner in the competition gets a price of rupees hundred and a participant who does not win get a price of rupees 25 the total prize money distributed is rupees 3,000 find the number of winners if the total number of participants is 63
Answer» The organizers of an essay competition decide that a winner in the competition gets a price of rupees hundred and a participant who does not win get a price of rupees 25 the total prize money distributed is rupees 3,000 find the number of winners if the total number of participants is 63

Discussion

11.	Which of the given pairs is different from the others ?
Answer» Which of the given pairs is different from the others ?

Discussion

12.	2x-1 5 —— = — x+4 4
Answer» 2x-1 5 —— = — x+4 4

Discussion

13.	State whether the statement is/are true or false: Angles of trapezium are supplemenatry.
Answer» State whether the statement is/are true or false: Angles of trapezium are supplemenatry.

Discussion

14.	Negative of a number is also called
Answer» Negative of a number is also called

Discussion

15.	A and B complete a piece of work in 24 days. B and C do the same work in 36 days; and A, B and C together finish it in 18 days. In how many days will i) A alone, ii) C alone, iii) A and C together, complete the work?
Answer» A and B complete a piece of work in 24 days. B and C do the same work in 36 days; and A, B and C together finish it in 18 days. In how many days will i) A alone, ii) C alone, iii) A and C together, complete the work?

15.

A and B complete a piece of work in 24 days. B and C do the same work in 36 days; and A, B and C together finish it in 18 days. In how many days will i) A alone, ii) C alone, iii) A and C together, complete the work?

Answer»

A and B complete a piece of work in 24 days. B and C do the same work in 36 days; and A, B and C together finish it in 18 days. In how many days will

i) A alone,

ii) C alone,

iii) A and C together, complete the work?

Discussion

16.	The sum of three consecutive integers is equal to seventy-eight. Then the smallest integer amongst them is:
Answer» The sum of three consecutive integers is equal to seventy-eight. Then the smallest integer amongst them is:

Discussion

17.	Leena bought a suitcase for Rs 2520. The VAT for this item is 5%. The amount paid as VAT is:
Answer» Leena bought a suitcase for Rs 2520. The VAT for this item is 5%. The amount paid as VAT is:

Discussion

18.	(ab+cd)2+(ab−cd)2 = .
Answer» $(a b + c d)^{2} + (a b - c d)^{2}$ = .

Discussion

19.	The least square number which is greater than 140 is:
Answer» The least square number which is greater than 140 is:

Discussion

20.	Shubendhu buys an old scooter for Rs. 4700 and spends Rs. 800 on its repairs. If he sells the scooter for Rs. 5800, his gain percentage is ____.
Answer» Shubendhu buys an old scooter for Rs. 4700 and spends Rs. 800 on its repairs. If he sells the scooter for Rs. 5800, his gain percentage is ____.

Discussion

21.	Raheema completes a certain work in 5 days and Fouzia completes the same in 7 days. If they both work together, how long will they take to complete the same work?
Answer» Raheema completes a certain work in 5 days and Fouzia completes the same in 7 days. If they both work together, how long will they take to complete the same work?

Discussion

22.	In a right-angled triangle, one of its angles must be equal to __.
Answer» In a right-angled triangle, one of its angles must be equal to __.

Discussion

23.	What is/are the factors of a2−b2?
Answer» What is/are the factors of $a^{2} - b^{2}$ ?

Discussion

24.	Find the smallest number by which 8640 must be divided so that quotient is a perfect cube
Answer» Find the smallest number by which 8640 must be divided so that quotient is a perfect cube

Discussion

25.	11 oranges are bought for Rs. 10 and 10 oranges are sold for Rs. 11. Find the gain (or) loss percentage.
Answer» 11 oranges are bought for Rs. 10 and 10 oranges are sold for Rs. 11. Find the gain (or) loss percentage.

Discussion

26.	The length of a hall is 18 m and its width is 13.5 m. Find the least number of square tiles, each of side 25 cm, required to cover the floor of the hall, (i) without leaving any margin. (ii) leaving a margin of width 1.5 m all around. In each case, find the cost of the tiles required at the rate of Rs. 6 per tile.
Answer» The length of a hall is 18 m and its width is 13.5 m. Find the least number of square tiles, each of side 25 cm, required to cover the floor of the hall, (i) without leaving any margin. (ii) leaving a margin of width 1.5 m all around. In each case, find the cost of the tiles required at the rate of Rs. 6 per tile.

26.

The length of a hall is 18 m and its width is 13.5 m. Find the least number of square tiles, each of side 25 cm, required to cover the floor of the hall, (i) without leaving any margin. (ii) leaving a margin of width 1.5 m all around. In each case, find the cost of the tiles required at the rate of Rs. 6 per tile.

Answer»

The length of a hall is 18 m and its width is 13.5 m. Find the least number of square tiles, each of side 25 cm, required to cover the floor of the hall,

(i) without leaving any margin.

(ii) leaving a margin of width 1.5 m all around. In each case, find the cost of the tiles required at the rate of Rs. 6 per tile.

Discussion

27.	Fill in the Blanks Question 16 The process of fixing a point with the help of the coordinate is known as___ of the point.
Answer» Fill in the Blanks Question 16 The process of fixing a point with the help of the coordinate is known as___ of the point.

Discussion

28.	The product of (2a+b)and5a2b2is .
Answer» The product of $(2 a + b) and 5 a^{2} b^{2} i s$ .

Discussion

29.	Factorise: 21x2−2x+121
Answer» Factorise: $21 x^{2} - 2 x + \frac{1}{21}$

29.

Factorise: 21x2−2x+121

Answer»

Factorise:

$21 x^{2} - 2 x + \frac{1}{21}$

Discussion

30.	The cost price of a camera is Rs 1760. What is the selling price of camera if owner gets 7% profit?
Answer» The cost price of a camera is Rs 1760. What is the selling price of camera if owner gets 7% profit?

Discussion

31.	A welfare association collected Rs. 202500 as donation from the residents. If each paid as many rupees as there were residents find the number of residents.
Answer» A welfare association collected Rs. 202500 as donation from the residents. If each paid as many rupees as there were residents find the number of residents.

Discussion

32.	The circumference of the base of a cylinder is 88cm and its height is 15cm. Find its curved surface area and total surface area.
Answer» The circumference of the base of a cylinder is 88cm and its height is 15cm. Find its curved surface area and total surface area.

Discussion

33.	Question 89 (ix) Factorise the following, using the identity, a2+2ab+b2=(a+b)2 4x2+12x+9
Answer» Question 89 (ix) Factorise the following, using the identity, $a^{2} + 2 a b + b^{2} = (a + b)^{2}$ $4 x^{2} + 12 x + 9$

Discussion

34.	Factorise: y2+10y+24
Answer» Factorise: $y^{2} + 10 y + 24$

Discussion

35.	The difference between the compound interest and simple interest on a certain sum for 2 years at 7.5% per annum is Rs. 360. Find the sum.
Answer» The difference between the compound interest and simple interest on a certain sum for 2 years at $7.5 %$ per annum is Rs. 360. Find the sum.

Discussion

36.	Aman's income is 20% less than that of Anil. How much percent is Anil's income more than Aman's income?
Answer» Aman's income is 20% less than that of Anil. How much percent is Anil's income more than Aman's income?

Discussion

37.	Jiya has some chocolates.She distribute one-fifth part part to riya, one fourth part to vansh and the half part to Dhruv. Now if five chocolates are left,then find how many chocolates were with her.
Answer» Jiya has some chocolates.She distribute one-fifth part part to riya, one fourth part to vansh and the half part to Dhruv. Now if five chocolates are left,then find how many chocolates were with her.

Discussion

38.	If 7A=5B=2C find A:B:C 1.) 35:14:10 2.) 14:10:35 3.) 2:5:7 4.) 10:14:35
Answer» If $7 A = 5 B = 2 C$ find $A : B : C$ 1.) $35 : 14 : 10$ 2.) $14 : 10 : 35$ 3.) $2 : 5 : 7$ 4.) $10 : 14 : 35$

38.

If 7A=5B=2C find A:B:C 1.) 35:14:10 2.) 14:10:35 3.) 2:5:7 4.) 10:14:35

Answer»

If $7 A = 5 B = 2 C$ find $A : B : C$

1.) $35 : 14 : 10$

2.) $14 : 10 : 35$

3.) $2 : 5 : 7$

4.) $10 : 14 : 35$

Discussion

39.	Area of a rectangle is 72 m2 and one of its side is 12 m long. Find the length of the other side.
Answer» Area of a rectangle is 72 $m^{2}$ and one of its side is 12 m long. Find the length of the other side.

Discussion

40.	What is the difference in the speed of car A and car B during the time interval 10 to 20 minutes?
Answer» What is the difference in the speed of car A and car B during the time interval 10 to 20 minutes?

Discussion

41.	Find the volume, lateral surface area and the total surface area of the cuboid whose dimensions are: (i) length = 22 cm, breadth = 12 cm and height = 7.5 cm (ii) length = 15 in, breadth = 6 in and height = 9 dm (ill) length = 24 m, breadth = 25 cm and height = 6 m (iv) length tr- 48 cm. breadth = 6 dm and height = 1 In
Answer» Find the volume, lateral surface area and the total surface area of the cuboid whose dimensions are: (i) length = 22 cm, breadth = 12 cm and height = 7.5 cm (ii) length = 15 in, breadth = 6 in and height = 9 dm (ill) length = 24 m, breadth = 25 cm and height = 6 m (iv) length tr- 48 cm. breadth = 6 dm and height = 1 In

41.

Find the volume, lateral surface area and the total surface area of the cuboid whose dimensions are: (i) length = 22 cm, breadth = 12 cm and height = 7.5 cm (ii) length = 15 in, breadth = 6 in and height = 9 dm (ill) length = 24 m, breadth = 25 cm and height = 6 m (iv) length tr- 48 cm. breadth = 6 dm and height = 1 In

Answer»

Find the volume, lateral surface area and the total surface area of the cuboid whose dimensions are:

(i) length = 22 cm, breadth = 12 cm and height = 7.5 cm

(ii) length = 15 in, breadth = 6 in and height = 9 dm

(ill) length = 24 m, breadth = 25 cm and height = 6 m

(iv) length tr- 48 cm. breadth = 6 dm and height = 1 In

Discussion

42.	The sum of the radius of the base and height of a solid cylinder is 37 m, if the total surface area of the solid cylinder is 1628m2, Find the the circumference of its base.
Answer» The sum of the radius of the base and height of a solid cylinder is 37 m, if the total surface area of the solid cylinder is $1628 m^{2}$ , Find the the circumference of its base.

Discussion

43.	Question 65(ii) The following is the time-distance graph of Sneha's walking. Find her average speed in km/h.
Answer» Question 65(ii) The following is the time-distance graph of Sneha's walking. Find her average speed in km/h.

Discussion

44.	Product of 4p,−7q3,−7pq is ____.
Answer» Product of $4 p, - 7 q^{3}, - 7 p q$ is ____.

Discussion

45.	Jaggy has three more five rupees notes than ten rupees notes. If he has Rs 195 worth of money by these two notes. How many of each kind of notes does he have ?
Answer» Jaggy has three more five rupees notes than ten rupees notes. If he has Rs 195 worth of money by these two notes. How many of each kind of notes does he have ?

Discussion

46.	Water from a cylindrical water tank of height 10.5m and a base with diameter 4.2m is emptied into a cuboidal water tank of dimensions 15m7m6m. Find the height of water in the cuboidal water tank
Answer» Water from a cylindrical water tank of height 10.5m and a base with diameter 4.2m is emptied into a cuboidal water tank of dimensions 15m7m6m. Find the height of water in the cuboidal water tank

Discussion

47.	Janki sold her leather purse at 8 percent loss. If she had sold it for 150 rupees more, she would have made a profit of 12 percent. Find selling price of the purse
Answer» Janki sold her leather purse at 8 percent loss. If she had sold it for 150 rupees more, she would have made a profit of 12 percent. Find selling price of the purse

Discussion

48.	How can you express 997 so that the expression 9972 can be calculated using an algebreaic identity?
Answer» How can you express 997 so that the expression $997^{2}$ can be calculated using an algebreaic identity?

Discussion

49.	The value of a flat worth Rs 500000 is depreciating at the rate of 10% per annum. In how many years will its value be reduced to Rs. 364500?
Answer» The value of a flat worth Rs 500000 is depreciating at the rate of $10 %$ per annum. In how many years will its value be reduced to Rs. 364500?

Discussion

50.	The lowest form of thea2−b2a3−b3 is___
Answer» The lowest form of the $\frac{a^{2} - b^{2}}{a^{3} - b^{3}}$ is___

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

How many consecutive odd numbers will be needed to obtain the sum as 63 ?

Twenty one cylindrical pillars of the Parliament House are to be cleaned. If the diametre of each pillar is 0.50m and height is 4m, What will be the cost of cleaning them at the rate of Rs. 2.50 per square metre?

Question 57 The number of workers and the time to complete a job is a case of direct proportion.

A toy is in the form of a cone mounted on a hemisphere. The diameter of the base and the height of the cone are 6cm and 4cm respectively. Determine the surface area of the toy. (Use π= 3.14)undefinedundefinedundefinedundefined

A man got a 10% increase in his salary. If his new salary is Rs 1,54,000, find his original salary.

Given that a, b and c are three consecutive multiples of 5. Choose the correct option.

If √2=1.414, then √√2−1√2+1=

Prove that a positive integer n is prime, if no prime p less than or equal to √n divides n. From RD Sharma class 10 HOTS.

The organizers of an essay competition decide that a winner in the competition gets a price of rupees hundred and a participant who does not win get a price of rupees 25 the total prize money distributed is rupees 3,000 find the number of winners if the total number of participants is 63

Which of the given pairs is different from the others ?

2x-1 5 —— = — x+4 4

State whether the statement is/are true or false: Angles of trapezium are supplemenatry.

Negative of a number is also called

A and B complete a piece of work in 24 days. B and C do the same work in 36 days; and A, B and C together finish it in 18 days. In how many days will i) A alone, ii) C alone, iii) A and C together, complete the work?

The sum of three consecutive integers is equal to seventy-eight. Then the smallest integer amongst them is:

Leena bought a suitcase for Rs 2520. The VAT for this item is 5%. The amount paid as VAT is:

(ab+cd)2+(ab−cd)2 = .

The least square number which is greater than 140 is:

Shubendhu buys an old scooter for Rs. 4700 and spends Rs. 800 on its repairs. If he sells the scooter for Rs. 5800, his gain percentage is ____.

Raheema completes a certain work in 5 days and Fouzia completes the same in 7 days. If they both work together, how long will they take to complete the same work?

In a right-angled triangle, one of its angles must be equal to __.

What is/are the factors of a2−b2?

Find the smallest number by which 8640 must be divided so that quotient is a perfect cube

11 oranges are bought for Rs. 10 and 10 oranges are sold for Rs. 11. Find the gain (or) loss percentage.

Fill in the Blanks Question 16 The process of fixing a point with the help of the coordinate is known as___ of the point.

The product of (2a+b)and5a2b2is .

Factorise: 21x2−2x+121

The cost price of a camera is Rs 1760. What is the selling price of camera if owner gets 7% profit?

A welfare association collected Rs. 202500 as donation from the residents. If each paid as many rupees as there were residents find the number of residents.

The circumference of the base of a cylinder is 88cm and its height is 15cm. Find its curved surface area and total surface area.

Question 89 (ix) Factorise the following, using the identity, a2+2ab+b2=(a+b)2 4x2+12x+9

Factorise: y2+10y+24

The difference between the compound interest and simple interest on a certain sum for 2 years at 7.5% per annum is Rs. 360. Find the sum.

Aman's income is 20% less than that of Anil. How much percent is Anil's income more than Aman's income?

Jiya has some chocolates.She distribute one-fifth part part to riya, one fourth part to vansh and the half part to Dhruv. Now if five chocolates are left,then find how many chocolates were with her.

If 7A=5B=2C find A:B:C 1.) 35:14:10 2.) 14:10:35 3.) 2:5:7 4.) 10:14:35

Area of a rectangle is 72 m2 and one of its side is 12 m long. Find the length of the other side.

What is the difference in the speed of car A and car B during the time interval 10 to 20 minutes?

The sum of the radius of the base and height of a solid cylinder is 37 m, if the total surface area of the solid cylinder is 1628m2, Find the the circumference of its base.

Question 65(ii) The following is the time-distance graph of Sneha's walking. Find her average speed in km/h.

Product of 4p,−7q3,−7pq is ____.

Jaggy has three more five rupees notes than ten rupees notes. If he has Rs 195 worth of money by these two notes. How many of each kind of notes does he have ?

Water from a cylindrical water tank of height 10.5m and a base with diameter 4.2m is emptied into a cuboidal water tank of dimensions 15m*7m*6m. Find the height of water in the cuboidal water tank

Janki sold her leather purse at 8 percent loss. If she had sold it for 150 rupees more, she would have made a profit of 12 percent. Find selling price of the purse

How can you express 997 so that the expression 9972 can be calculated using an algebreaic identity?

The value of a flat worth Rs 500000 is depreciating at the rate of 10% per annum. In how many years will its value be reduced to Rs. 364500?

The lowest form of thea2−b2a3−b3 is___

Water from a cylindrical water tank of height 10.5m and a base with diameter 4.2m is emptied into a cuboidal water tank of dimensions 15m7m6m. Find the height of water in the cuboidal water tank