25365 + Interview Questions in Mathematics

1.	9. We are given equation for the circle and asked to calculate its radius and centre.what should i do
Answer» 9. We are given equation for the circle and asked to calculate its radius and centre.what should i do

Discussion

2.	If a−b=3 and a3 - b3 =117 ,then ab = _________
Answer» If $a - b = 3$ and $a^{3}$ - $b^{3}$ $= 117$ ,then $a b$ = _________

2.

If a−b=3 and a3 - b3 =117 ,then ab = _________

Answer»

If $a - b = 3$ and $a^{3}$ - $b^{3}$ $= 117$ ,then $a b$ = _________

Discussion

3.	A rectangular piece is 20 m long and 15 m wide.From its four corners, quadrants of radii 3.5 have been cut.Find the area of the remaining part.
Answer» A rectangular piece is 20 m long and 15 m wide.From its four corners, quadrants of radii 3.5 have been cut.Find the area of the remaining part.

Discussion

4.	Is 4/0 a rational number? If not, then what type of number is it?
Answer» Is 4/0 a rational number? If not, then what type of number is it?

Discussion

5.	If xpq+xqr+xpr=p+q+r, then find the value ofx.
Answer» If $\frac{x}{p q} + \frac{x}{q r} + \frac{x}{p r} = p + q + r$ , then find the value of $x$ .

Discussion

6.	Given ¯¯¯¯¯¯¯¯AB of length 3.9 cm, construct ¯¯¯¯¯¯¯¯PQ such that the length ¯¯¯¯¯¯¯¯PQ is twice that of AB . Verify by measurement.(Hint: Construct ¯¯¯¯¯¯¯¯¯PX such that length of ¯¯¯¯¯¯¯¯¯PX = length of ¯¯¯¯¯¯¯¯AB;then cut off ¯¯¯¯¯¯¯¯¯XQ such that ¯¯¯¯¯¯¯¯¯XQ also has the length of ¯¯¯¯¯¯¯¯AB.)
Answer» Given $¯ ¯¯¯¯¯¯ ¯ A B$ of length 3.9 cm, construct $¯ ¯¯¯¯¯¯ ¯ P Q$ such that the length $¯ ¯¯¯¯¯¯ ¯ P Q$ is twice that of AB . Verify by measurement. (Hint: Construct $¯ ¯¯¯¯¯¯¯ ¯ P X$ such that length of $¯ ¯¯¯¯¯¯¯ ¯ P X$ = length of $¯ ¯¯¯¯¯¯ ¯ A B$ ; then cut off $¯ ¯¯¯¯¯¯¯ ¯ X Q$ such that $¯ ¯¯¯¯¯¯¯ ¯ X Q$ also has the length of $¯ ¯¯¯¯¯¯ ¯ A B$ .)

Discussion

7.	(i) find coefficient of x^{5^{}} in (x^2-x-2)^5 (ii) if the number of non-negative integral solutions of 3x+y+z≤30 is N, N being a four digit number "abba" then what is the value of b-a
Answer» (i) find coefficient of x^{5^{}} in (x^2-x-2)^5 (ii) if the number of non-negative integral solutions of 3x+y+z≤30 is N, N being a four digit number "abba" then what is the value of b-a

Discussion

8.	Find the angles of quadrilateral ABCD, in given figure.
Answer» Find the angles of quadrilateral ABCD, in given figure.

Discussion

9.	Question 66 (iii) How many edges does the following solid have? Sphere
Answer» Question 66 (iii) How many edges does the following solid have? Sphere

Discussion

10.	Find the value of x:3(x−5)+5x=7(p−x)−2(x−q), where p and q are constants.
Answer» Find the value of $x$ : $3 (x - 5) + 5 x = 7 (p - x) - 2 (x - q)$ , where $p$ and $q$ are constants.

Discussion

11.	The cost of 1 litre of milk is ₹ 3034. Find the cost of 213 litre of milk
Answer» The cost of 1 litre of milk is ₹ $30 \frac{3}{4}$ . Find the cost of $2 \frac{1}{3}$ litre of milk

Discussion

12.	−34p3q2r17p2q =
Answer» $\frac{- 34 p^{3} q^{2} r}{17 p^{2} q}$ =

Discussion

13.	1/x-1-1/x=1/x+3-1/x+4
Answer» 1/x-1-1/x=1/x+3-1/x+4

Discussion

14.	If 22x−1=18x−3, then find the value of 'x'.
Answer» If $2^{2 x - 1} = \frac{1}{8^{x - 3}}$ , then find the value of ' $x$ '.

Discussion

15.	Let p(x) = x^2 + x + 1, if p(x^2) is divided by p(x), then the quotient is
Answer» Let p(x) = x^2 + x + 1, if p(x^2) is divided by p(x), then the quotient is

Discussion

16.	Which of the following are adjacent angles?
Answer» Which of the following are adjacent angles?

Discussion

17.	A rectangular diesel tanker is 2m long, 2m wide and 40cm deep. How many litres of diesel can it hold?
Answer» A rectangular diesel tanker is $2 m$ long, $2 m$ wide and $40 c m$ deep. How many litres of diesel can it hold?

Discussion

18.	A rational number whose product with a given rational number is equal to the given rational number is ?
Answer» A rational number whose product with a given rational number is equal to the given rational number is ?

Discussion

19.	The following figure is a rhombus. Find the values of the unknowns x, y and z.
Answer» The following figure is a rhombus. Find the values of the unknowns x, y and z.

Discussion

20.	Question 127Solve 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?

20.

Question 127Solve 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

21.	An alloy contains 32% copper, 40% nicket and rest zinc. Find the mass of the zinc in 1 kg of the alloy.
Answer» An alloy contains 32% copper, 40% nicket and rest zinc. Find the mass of the zinc in 1 kg of the alloy.

Discussion

22.	Construct a triangle PQR whose perimeter is 15 cm and whose sides are in the ratio 3:4:6.
Answer» Construct a triangle PQR whose perimeter is 15 cm and whose sides are in the ratio 3:4:6.

Discussion

23.	If 4 is added to a number and the sum is multiplied by 3, the result is 30. Find the number.
Answer» If 4 is added to a number and the sum is multiplied by 3, the result is 30. Find the number.

Discussion

24.	ntIntegrate the following with respect to x.n nt1/(x+x)n
Answer» ntIntegrate the following with respect to x.n nt1/(x+x)n

Discussion

25.	21. Two numbers are selected at random (without replacement) from 1st six positive integers. Let X denote the larger of two numbers obtained . Find the E(X)
Answer» 21. Two numbers are selected at random (without replacement) from 1st six positive integers. Let X denote the larger of two numbers obtained . Find the E(X)

Discussion

26.	Ted with his friend Ned, was watching Mission Impossible. It was the climax scene, Ethan Grunt jumping from a helicopter during night. With the help of his gadgets, he got a blue print of a parallelogram shaped land he was about to land on and its measurements. Find the area of the place he can land to cheat death one more time by not falling in the rectangular killer swamp!
Answer» Ted with his friend Ned, was watching Mission Impossible. It was the climax scene, Ethan Grunt jumping from a helicopter during night. With the help of his gadgets, he got a blue print of a parallelogram shaped land he was about to land on and its measurements. Find the area of the place he can land to cheat death one more time by not falling in the rectangular killer swamp!

26.

Ted with his friend Ned, was watching Mission Impossible. It was the climax scene, Ethan Grunt jumping from a helicopter during night. With the help of his gadgets, he got a blue print of a parallelogram shaped land he was about to land on and its measurements. Find the area of the place he can land to cheat death one more time by not falling in the rectangular killer swamp!

Answer»

Ted with his friend Ned, was watching Mission Impossible. It was the climax scene, Ethan Grunt jumping from a helicopter during night. With the help of his gadgets, he got a blue print of a parallelogram shaped land he was about to land on and its measurements. Find the area of the place he can land to cheat death one more time by not falling in the rectangular killer swamp!

Discussion

27.	In a triangle ABC, AB = AC. Suppose P is point on AB and Q is a point on AC such that AP = AQ. Prove that ΔAPC ≅ ΔAQB.
Answer» In a triangle ABC, AB = AC. Suppose P is point on AB and Q is a point on AC such that AP = AQ. Prove that ΔAPC ≅ ΔAQB.

Discussion

28.	A screw gauge with a pitch of 0.5 mm and a circular scale with 50 divisions is used to measure the thickness of a thin sheet of aluminium. What is the thickness of the sheet if the main scale reading is 0.4 mm and 17th division on the circular scale coincides with the main scale line?
Answer» A screw gauge with a pitch of $0.5 mm$ and a circular scale with $50$ divisions is used to measure the thickness of a thin sheet of aluminium. What is the thickness of the sheet if the main scale reading is $0.4 mm$ and $17 t h$ division on the circular scale coincides with the main scale line?

Discussion

29.	Divide 44(x4−5x3−24x2) by 11x(x−8). [4 MARKS]
Answer» Divide $44 (x^{4} - 5 x^{3} - 24 x^{2})$ by $11 x (x - 8)$ . [4 MARKS]

Discussion

30.	If number of observations N is odd then median is given by:
Answer» If number of observations N is odd then median is given by:

Discussion

31.	An army base has some soldiers, such that when they stand in rows and columns they form a square. More soldiers were added to the camp and the number of rows and columns increased by 1. If there are 625 soldiers now, how many soldiers were added?
Answer» An army base has some soldiers, such that when they stand in rows and columns they form a square. More soldiers were added to the camp and the number of rows and columns increased by 1. If there are 625 soldiers now, how many soldiers were added?

Discussion

32.	Determine the equivalent expression of (a−b)2.
Answer» Determine the equivalent expression of $(a - b)^{2}$ .

Discussion

33.	What amount will I get at the end of 3 years and 6 months if I invest ₹ 3000 in a bank with an interest rate of 10% compounded half-yearly?
Answer» What amount will I get at the end of 3 years and 6 months if I invest ₹ 3000 in a bank with an interest rate of 10% compounded half-yearly?

Discussion

34.	The actual distance between New Jersey and New York is 70 miles while the distance on the map is 7 inches. Calculate the scale factor.
Answer» The actual distance between New Jersey and New York is $70$ miles while the distance on the map is $7$ inches. Calculate the scale factor.

Discussion

35.	A new car costs rupees 3,60,000. It's price depreciates at 10% p.a during first two years and 20% p.a in the third year. What will be the price of the car after 3 years
Answer» A new car costs rupees 3,60,000. It's price depreciates at 10% p.a during first two years and 20% p.a in the third year. What will be the price of the car after 3 years

Discussion

36.	The factors of (4 x3+12 x2+6x+18) is/are:
Answer» The factors of $(4 x^{3} + 12 x^{2} + 6 x + 18)$ is/are:

Discussion

37.	If 2x + y = 23 and 4x – y = 19, then find the value of 5y − 2x .
Answer» If 2x + y = 23 and 4x – y = 19, then find the value of 5y − 2x .

Discussion

38.	Sarah's father invests $12,000 in interest-bearing accounts, some part at 3.2% and the remaining at 2.6%. Total investment profit (interest) for the year is $369. At 2.6% rate of interest, how much money did Sarah's father put in?
Answer» Sarah's father invests $$ 12, 000$ in interest-bearing accounts, some part at $3.2$ % and the remaining at $2.6$ %. Total investment profit (interest) for the year is $$ 369$ . At $2.6 %$ rate of interest, how much money did Sarah's father put in?

Discussion

39.	A pipe can fill a cistern in 10 hours. Due to a leak in the bottom, it is filled in 12 hours. When the cistern is full, in how much time will it be emptied by the leak?
Answer» A pipe can fill a cistern in $10$ hours. Due to a leak in the bottom, it is filled in $12$ hours. When the cistern is full, in how much time will it be emptied by the leak?

Discussion

40.	What is drawn in the first step in constructing a quadrilateral for which 2 sides and 3 angles are known?
Answer» What is drawn in the first step in constructing a quadrilateral for which 2 sides and 3 angles are known?

Discussion

41.	The four angles of a quadrilateral are as 3:5:7:9. Find the angles.
Answer» The four angles of a quadrilateral are as 3:5:7:9. Find the angles.

Discussion

42.	Find the product:(23xy) × (−910x2y2)
Answer» Find the product: $(\frac{2}{3} x y) \times (- \frac{9}{10} x^{2} y^{2})$

Discussion

43.	Express in power notation.(a) 4981 (b) −827
Answer» Express in power notation. $(a) \frac{49}{81} (b) \frac{- 8}{27}$

Discussion

44.	Without adding, find the sum of the following series: 1+3+5+7+9+11+13+15+17+19+21 =___
Answer» Without adding, find the sum of the following series: 1+3+5+7+9+11+13+15+17+19+21 =___

Discussion

45.	A house is in the shape of a cubical of length 20m, breadth 10m and height 5m. It has an opening of 2m × 2m on one of the walls for ventilation. Find the cost of cementing the walls of the house at Rs. 5 per m2 .
Answer» A house is in the shape of a cubical of length 20m, breadth 10m and height 5m. It has an opening of 2m $\times$ 2m on one of the walls for ventilation. Find the cost of cementing the walls of the house at Rs. 5 per $m^{2}$ .

Discussion

46.	Factorise: 9x2−24x+16
Answer» $Factorise: 9 x^{2} - 24 x + 16$

Discussion

47.	Which of the following equations represent linear equations in two variables?
Answer» Which of the following equations represent linear equations in two variables?

Discussion

48.	The product of two whole numbers is always a:
Answer» The product of two whole numbers is always a:

Discussion

49.	Are the following pair of linear equations consistent ? justify your answer- 3x - 4y = 12 and 4y + 3x = 12
Answer» Are the following pair of linear equations consistent ? justify your answer - 3x - 4y = 12 and 4y + 3x = 12

Discussion

50.	The length of a cuboid having breadth = 4 cm, height = 4 cm and total surface area = 148 cm2, is __________.
Answer» The length of a cuboid having breadth = 4 cm, height = 4 cm and total surface area = 148 cm², is __________.

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

9. We are given equation for the circle and asked to calculate its radius and centre.what should i do

If a−b=3 and a3 - b3 =117 ,then ab = _________

A rectangular piece is 20 m long and 15 m wide.From its four corners, quadrants of radii 3.5 have been cut.Find the area of the remaining part.

Is 4/0 a rational number? If not, then what type of number is it?

If xpq+xqr+xpr=p+q+r, then find the value ofx.

(i) find coefficient of x^{5^{}} in (x^2-x-2)^5 (ii) if the number of non-negative integral solutions of 3x+y+z≤30 is N, N being a four digit number "abba" then what is the value of b-a

Find the angles of quadrilateral ABCD, in given figure.

Question 66 (iii) How many edges does the following solid have? Sphere

Find the value of x:3(x−5)+5x=7(p−x)−2(x−q), where p and q are constants.

The cost of 1 litre of milk is ₹ 3034. Find the cost of 213 litre of milk

−34p3q2r17p2q =

1/x-1-1/x=1/x+3-1/x+4

If 22x−1=18x−3, then find the value of 'x'.

Let p(x) = x^2 + x + 1, if p(x^2) is divided by p(x), then the quotient is

Which of the following are adjacent angles?

A rectangular diesel tanker is 2m long, 2m wide and 40cm deep. How many litres of diesel can it hold?

A rational number whose product with a given rational number is equal to the given rational number is ?

The following figure is a rhombus. Find the values of the unknowns x, y and z.

Question 127Solve 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?

An alloy contains 32% copper, 40% nicket and rest zinc. Find the mass of the zinc in 1 kg of the alloy.

Construct a triangle PQR whose perimeter is 15 cm and whose sides are in the ratio 3:4:6.

If 4 is added to a number and the sum is multiplied by 3, the result is 30. Find the number.

ntIntegrate the following with respect to x.n nt1/(x+x)n

21. Two numbers are selected at random (without replacement) from 1st six positive integers. Let X denote the larger of two numbers obtained . Find the E(X)

In a triangle ABC, AB = AC. Suppose P is point on AB and Q is a point on AC such that AP = AQ. Prove that ΔAPC ≅ ΔAQB.

A screw gauge with a pitch of 0.5 mm and a circular scale with 50 divisions is used to measure the thickness of a thin sheet of aluminium. What is the thickness of the sheet if the main scale reading is 0.4 mm and 17th division on the circular scale coincides with the main scale line?

Divide 44(x4−5x3−24x2) by 11x(x−8). [4 MARKS]

If number of observations N is odd then median is given by:

An army base has some soldiers, such that when they stand in rows and columns they form a square. More soldiers were added to the camp and the number of rows and columns increased by 1. If there are 625 soldiers now, how many soldiers were added?

Determine the equivalent expression of (a−b)2.

What amount will I get at the end of 3 years and 6 months if I invest ₹ 3000 in a bank with an interest rate of 10% compounded half-yearly?

The actual distance between New Jersey and New York is 70 miles while the distance on the map is 7 inches. Calculate the scale factor.

A new car costs rupees 3,60,000. It's price depreciates at 10% p.a during first two years and 20% p.a in the third year. What will be the price of the car after 3 years

The factors of (4 x3+12 x2+6x+18) is/are:

If 2x + y = 23 and 4x – y = 19, then find the value of 5y − 2x .

Sarah's father invests $12,000 in interest-bearing accounts, some part at 3.2% and the remaining at 2.6%. Total investment profit (interest) for the year is $369. At 2.6% rate of interest, how much money did Sarah's father put in?

A pipe can fill a cistern in 10 hours. Due to a leak in the bottom, it is filled in 12 hours. When the cistern is full, in how much time will it be emptied by the leak?

What is drawn in the first step in constructing a quadrilateral for which 2 sides and 3 angles are known?

The four angles of a quadrilateral are as 3:5:7:9. Find the angles.

Find the product:(23xy) × (−910x2y2)

Express in power notation.(a) 4981 (b) −827

Without adding, find the sum of the following series: 1+3+5+7+9+11+13+15+17+19+21 =___

A house is in the shape of a cubical of length 20m, breadth 10m and height 5m. It has an opening of 2m × 2m on one of the walls for ventilation. Find the cost of cementing the walls of the house at Rs. 5 per m2 .

Factorise: 9x2−24x+16

Which of the following equations represent linear equations in two variables?

The product of two whole numbers is always a:

Are the following pair of linear equations consistent ? justify your answer- 3x - 4y = 12 and 4y + 3x = 12

The length of a cuboid having breadth = 4 cm, height = 4 cm and total surface area = 148 cm2, is __________.