25365 + Interview Questions in Mathematics Page 155 InterviewSolution

7701.	Question 29The value of (−27x2y)÷(−9xy) isa) 3xyb) −3xyc) −3xd) 3x
Answer» Question 29 The value of $(- 27 x^{2} y) \div (- 9 x y)$ is a) $3 x y$ b) $- 3 x y$ c) $- 3 x$ d) $3 x$

Discussion

7702.	Question 43Each outcome or a collection of outcomes in an experiment makes an ___.
Answer» Question 43 Each outcome or a collection of outcomes in an experiment makes an ___.

7702.

Question 43Each outcome or a collection of outcomes in an experiment makes an ___.

Answer»

Question 43

Each outcome or a collection of outcomes in an experiment makes an ___.

Discussion

7703.	In which of the following quadrilaterals, diagonals bisect each other?i) Parallelogramii) Rhombusiii) Rectangleiv) Squarev) Kite
Answer» In which of the following quadrilaterals, diagonals bisect each other? i) Parallelogram ii) Rhombus iii) Rectangle iv) Square v) Kite

7703.

In which of the following quadrilaterals, diagonals bisect each other?i) Parallelogramii) Rhombusiii) Rectangleiv) Squarev) Kite

Answer»

In which of the following quadrilaterals, diagonals bisect each other?

i) Parallelogram

ii) Rhombus

iii) Rectangle

iv) Square

v) Kite

Discussion

7704.	Find the value of the given expression(x3+2x2+3x)÷2x
Answer» Find the value of the given expression $(x^{3} + 2 x^{2} + 3 x) \div 2 x$

Discussion

7705.	Frame an expression for the sum of two consecutive even numbers.
Answer» Frame an expression for the sum of two consecutive even numbers.

Discussion

7706.	A dress is sold at Rs. 550 after allowing a discount of 12%. Find its marked price.
Answer» A dress is sold at $R s . 550$ after allowing a discount of $12 % .$ Find its marked price.

Discussion

7707.	Question 1How much paper of each shade is needed to make a kite given in figure, in which ABCD is a square with diagonal 44cm.
Answer» Question 1 How much paper of each shade is needed to make a kite given in figure, in which ABCD is a square with diagonal 44cm.

Discussion

7708.	Simplify 49−5×493.
Answer» Simplify $49^{- 5} \times 49^{3}$ .

Discussion

7709.	Question 4Which of the following is not true?(a) rational numbers are closed under addition.(b) rational numbers are closed under subtraction.(c) rational numbers are closed under multiplication.(d) rational numbers are closed under division.
Answer» Question 4 Which of the following is not true? (a) rational numbers are closed under addition. (b) rational numbers are closed under subtraction. (c) rational numbers are closed under multiplication. (d) rational numbers are closed under division.

Discussion

7710.	Subtract ₹9.45 from the addition of ₹12 and ₹3.45.
Answer» Subtract ₹9.45 from the addition of ₹12 and ₹3.45.

Discussion

7711.	Is it possible to have a regular polygon each of whose interior angles is 100∘?
Answer» Is it possible to have a regular polygon each of whose interior angles is $100^{\circ}$ ?

Discussion

7712.	(i) Find the factors of 84.(ii) How many factors of 84 are odd?
Answer» (i) Find the factors of 84. (ii) How many factors of 84 are odd?

Discussion

7713.	Factorise : 25(2x+y)2−16(x−y)2
Answer» Factorise : $25 (2 x + y)^{2} - 16 (x - y)^{2}$

Discussion

7714.	Question 4Rukshar painted the outside of the cabinet of measure 1m×2m×1.5m. How much Surface area did she cover if she painted all except the bottom of the cabinet?
Answer» Question 4 Rukshar painted the outside of the cabinet of measure $1 m \times 2 m \times 1.5 m .$ How much Surface area did she cover if she painted all except the bottom of the cabinet?

Discussion

7715.	In what ratio a grocer mix two varieties of tea worth Rs. 70 per kg and Rs. 75 per kg so that by selling mixture at Rs. 80.30 kg he may gain 10%?
Answer» In what ratio a grocer mix two varieties of tea worth Rs. 70 per kg and Rs. 75 per kg so that by selling mixture at Rs. 80.30 kg he may gain 10%?

Discussion

7716.	By using the formula, find the amount and compound interest on: A machine is purchased for Rs 625000. Its value depreciates at the rate of 8% per annum. What will be its value after 2 years ?
Answer» By using the formula, find the amount and compound interest on: A machine is purchased for Rs 625000. Its value depreciates at the rate of $8 %$ per annum. What will be its value after 2 years ?

7716.

By using the formula, find the amount and compound interest on: A machine is purchased for Rs 625000. Its value depreciates at the rate of 8% per annum. What will be its value after 2 years ?

Answer»

By using the formula, find the amount and compound interest on:

A machine is purchased for Rs 625000. Its value depreciates at the rate of $8 %$ per annum. What will be its value after 2 years ?

Discussion

7717.	Cube root of 0.0435 in a simple way?
Answer» Cube root of 0.0435 in a simple way?

Discussion

7718.	There are three tankers whose capacities are in the ratio 4 : 5 : 6. If the largest water tanker can hold a capacity of 3600 liters, then find the capacity of the other two tankers in liters.
Answer» There are three tankers whose capacities are in the ratio 4 : 5 : 6. If the largest water tanker can hold a capacity of 3600 liters, then find the capacity of the other two tankers in liters.

Discussion

7719.	In a dinner, there is enough meal for 200 children or 120 men. If 140 children had finished their meal, how many men can be catered to with the remaining meal? [ 3 MARKS ]
Answer» In a dinner, there is enough meal for 200 children or 120 men. If 140 children had finished their meal, how many men can be catered to with the remaining meal? [ 3 MARKS ]

Discussion

7720.	Which of these represents the simplest form of 4√52?
Answer» Which of these represents the simplest form of $\sqrt[4]{5^{2}}$ ?

Discussion

7721.	What is the mean of the following numbers: 2, 6, 4, 9, 7, 3, 5, 4, 3, 7.
Answer» What is the mean of the following numbers: 2, 6, 4, 9, 7, 3, 5, 4, 3, 7.

Discussion

7722.	The number lies between 100000 and 110000 which is exactly divisible by 8, 15 and 21 is.a)1680b)109200Explain with solution.
Answer» The number lies between 100000 and 110000 which is exactly divisible by 8, 15 and 21 is. a)1680 b)109200 Explain with solution.

Discussion

7723.	Can it happen that for some integer?
Answer» Can it happen that for some integer?

Discussion

7724.	Appu’s mother is nine times as old as Appu. After nine years, her age would be three times that of Appu. What are their ages now?
Answer» Appu’s mother is nine times as old as Appu. After nine years, her age would be three times that of Appu. What are their ages now?

7724.

Appu’s mother is nine times as old as Appu. After nine years, her age would be three times that of Appu. What are their ages now?

Answer»

Appu’s mother is nine times as old as Appu. After nine years, her age would be three times that of Appu. What are their ages now?

Discussion

7725.	If x−1x=4, Then the value of x4+1x4 will be
Answer» If $x - \frac{1}{x} = 4$ , Then the value of $x^{4} + \frac{1}{x^{4}}$ will be

Discussion

7726.	Two persons could fit new windows in the house in 3 days.(i) One of the persons fell ill before the work started. How long would the job take now?(ii) How many persons would be needed to fit the windows in one day?
Answer» Two persons could fit new windows in the house in $3$ days. (i) One of the persons fell ill before the work started. How long would the job take now? (ii) How many persons would be needed to fit the windows in one day?

7726.

Two persons could fit new windows in the house in 3 days.(i) One of the persons fell ill before the work started. How long would the job take now?(ii) How many persons would be needed to fit the windows in one day?

Answer»

Two persons could fit new windows in the house in $3$ days.

(i) One of the persons fell ill before the work started. How long would the job take now?

(ii) How many persons would be needed to fit the windows in one day?

Discussion

7727.	What should be multiplied with x2y3 to make it a perfect cube, if x and y are prime numbers?
Answer» What should be multiplied with $x^{2} y^{3}$ to make it a perfect cube, if $x$ and $y$ are prime numbers?

Discussion

7728.	How many degrees is the angle which is 1/3 of a right angle?
Answer» How many degrees is the angle which is $1 / 3$ of a right angle?

Discussion

7729.	Ajay is constructing a square PQRS with PQ = 5 cm. The steps of construction are as follows. (i) Draw a line segment PQ of length 5 cm. Construct 90° at the points P and Q. Extend the rays from P and Q.(ii) Draw arcs of radius 5 cm keeping P and Q as centre on the extended rays. (iii) Mark the intersecting points to be S and R.Which of the following figure represents the completion of the construction of above mentioned steps?
Answer» Ajay is constructing a square PQRS with PQ = 5 cm. The steps of construction are as follows. (i) Draw a line segment PQ of length 5 cm. Construct 90° at the points P and Q. Extend the rays from P and Q. (ii) Draw arcs of radius 5 cm keeping P and Q as centre on the extended rays. (iii) Mark the intersecting points to be S and R. Which of the following figure represents the completion of the construction of above mentioned steps?

Discussion

7730.	What is the value of 0.25 % of 80?
Answer» What is the value of 0.25 % of 80?

Discussion

7731.	Show that n3– n is divisible by 8, if n is an odd positive integ
Answer» Show that n3– n is divisible by 8, if n is an odd positive integ

Discussion

7732.	Properties of multiplication of integersRepresentation1).Distributive Propertya). a×b=b×a2).Commutative Propertyb). a×(b×c)=(a×b)×c3).Associative Propertyc). a×(b+c)=(a×b)+(a×c)Pick the option which shows the correct match.
Answer» $\begin{matrix} Properties of multiplication of integers & Representation 1) . Distributive Property & a) . a \times b = b \times a 2) . Commutative Property & b) . a \times (b \times c) = (a \times b) \times c 3) . Associative Property & c) . a \times (b + c) = (a \times b) + (a \times c) \end{matrix}$ Pick the option which shows the correct match.

7732.

Properties of multiplication of integersRepresentation1).Distributive Propertya). a×b=b×a2).Commutative Propertyb). a×(b×c)=(a×b)×c3).Associative Propertyc). a×(b+c)=(a×b)+(a×c)Pick the option which shows the correct match.

Answer»

$\begin{matrix} Properties of multiplication of integers & Representation 1) . Distributive Property & a) . a \times b = b \times a 2) . Commutative Property & b) . a \times (b \times c) = (a \times b) \times c 3) . Associative Property & c) . a \times (b + c) = (a \times b) + (a \times c) \end{matrix}$

Pick the option which shows the correct match.

Discussion

7733.	The diagonal of a trapezium shaped field is 25m and the perpendiculars dropped on it from the remaining opposite vertices are 8m and 12m. Find the area of the field(in m2).
Answer» The diagonal of a trapezium shaped field is 25m and the perpendiculars dropped on it from the remaining opposite vertices are 8m and 12m. Find the area of the field(in m²).

Discussion

7734.	If 4^{44} + 4^{44} + 4^{44} + 4^{44} = 4^x, then how to find the value of x?
Answer» If 4^{44} + 4^{44} + 4^{44} + 4^{44} = 4^x, then how to find the value of x?

Discussion

7735.	A group of 3 friends staying together consume 54 kg of wheat every month. Some more friends join this group and they find that the same amount of wheat lasts for 18 days. How many new members are there in a group now ?
Answer» A group of $3$ friends staying together consume $54 k g$ of wheat every month. Some more friends join this group and they find that the same amount of wheat lasts for $18$ days. How many new members are there in a group now ?

Discussion

7736.	Solve the following equation by using the method of completing the square: 4x2+4bx−(a2−b2)=0
Answer» Solve the following equation by using the method of completing the square: $4 x^{2} + 4 b x - (a^{2} - b^{2}) = 0$

Discussion

7737.	Which pair of angles are supplementary in the following diagram? Are there supplementary rays?
Answer» Which pair of angles are supplementary in the following diagram? Are there supplementary rays?

7737.

Which pair of angles are supplementary in the following diagram? Are there supplementary rays?

Answer»

Which pair of angles are supplementary in the following diagram? Are there supplementary rays?

Discussion

7738.	if 2 parallel sides of a trapezium are 80 centimeter and 60 centimeter and other sides are 24 centimeter and 28 centimeter then the area of the trapezium is
Answer» if 2 parallel sides of a trapezium are 80 centimeter and 60 centimeter and other sides are 24 centimeter and 28 centimeter then the area of the trapezium is

Discussion

7739.	One diagonal of a rectangle makes 35o angle with larger side of rectangle. Find the obtuse angle between diagonals of the rectangle?
Answer» One diagonal of a rectangle makes $35^{o}$ angle with larger side of rectangle. Find the obtuse angle between diagonals of the rectangle?

Discussion

7740.	Find the smallest square number that is divisible by each of the numbers 8,15,and 20.
Answer» Find the smallest square number that is divisible by each of the numbers $8, 15,$ and $20.$

7740.

Find the smallest square number that is divisible by each of the numbers 8,15,and 20.

Answer»

Find the smallest square number that is divisible by each of the numbers $8, 15,$

and $20.$

Discussion

7741.	A 3×3 Rubik's cube has a total surface area of 54 cm2. Find the area occupied by single red tile of the cube.
Answer» A $3 \times 3$ Rubik's cube has a total surface area of $54 {cm}^{2}$ . Find the area occupied by single red tile of the cube.

Discussion

7742.	What could the possible degrees of factors of 6x4?
Answer» What could the possible degrees of factors of $6 x^{4}$ ?

Discussion

7743.	Construct a square of diagonal AC =6.2 cm.
Answer» Construct a square of diagonal AC =6.2 cm.

Discussion

7744.	For 2 sets A, B, A is called a proper subset of B iff
Answer» For 2 sets A, B, A is called a proper subset of B iff

Discussion

7745.	The unit vector along i^ + j^ is ↑ 1) k^ 2) i^+ j^ 3) (i^+ j^)/\sqrt2 4) i^+ j^)/2
Answer» The unit vector along i^ + j^ is ↑ 1) k^ 2) i^+ j^ 3) (i^+ j^)/\sqrt2 4) i^+ j^)/2

Discussion

7746.	What is the value of 36×34?
Answer» What is the value of $3^{6} \times 3^{4}$ ?

Discussion

7747.	Find the greatest common factors (GCF / HCF) of the following polynomials : 42x2yz and 63x3y2z3
Answer» Find the greatest common factors (GCF / HCF) of the following polynomials : $42 x^{2} y z and 63 x^{3} y^{2} z^{3}$

7747.

Find the greatest common factors (GCF / HCF) of the following polynomials : 42x2yz and 63x3y2z3

Answer»

Find the greatest common factors (GCF / HCF) of the following polynomials :

$42 x^{2} y z and 63 x^{3} y^{2} z^{3}$

Discussion

7748.	Solve 22−4x3=x−9
Answer» Solve $\frac{22 - 4 x}{3} = x - 9$

Discussion

7749.	Question 83Draw the net of the following solid.[Hint pentagons are not congruent.]
Answer» Question 83 Draw the net of the following solid. [Hint pentagons are not congruent.]

Discussion

7750.	Q- there are 4 red, 3 green and 2 white balls in a box.Two balls in succession are picked up from the box.what is the probability that these balls are not green? 1)5/12 2)4/9 3)3/4 4)2/ 4)
Answer» Q- there are 4 red, 3 green and 2 white balls in a box.Two balls in succession are picked up from the box.what is the probability that these balls are not green? 1)5/12 2)4/9 3)3/4 4)2/ 4)

Discussion

Explore topic-wise InterviewSolutions in .

Question 29The value of (−27x2y)÷(−9xy) isa) 3xyb) −3xyc) −3xd) 3x

Question 43Each outcome or a collection of outcomes in an experiment makes an ___.

In which of the following quadrilaterals, diagonals bisect each other?i) Parallelogramii) Rhombusiii) Rectangleiv) Squarev) Kite

Find the value of the given expression(x3+2x2+3x)÷2x

Frame an expression for the sum of two consecutive even numbers.

A dress is sold at Rs. 550 after allowing a discount of 12%. Find its marked price.

Question 1How much paper of each shade is needed to make a kite given in figure, in which ABCD is a square with diagonal 44cm.

Simplify 49−5×493.

Question 4Which of the following is not true?(a) rational numbers are closed under addition.(b) rational numbers are closed under subtraction.(c) rational numbers are closed under multiplication.(d) rational numbers are closed under division.

Subtract ₹9.45 from the addition of ₹12 and ₹​​​​​​​3.45.

Is it possible to have a regular polygon each of whose interior angles is 100∘?

(i) Find the factors of 84.(ii) How many factors of 84 are odd?

Factorise : 25(2x+y)2−16(x−y)2

Question 4Rukshar painted the outside of the cabinet of measure 1m×2m×1.5m. How much Surface area did she cover if she painted all except the bottom of the cabinet?

In what ratio a grocer mix two varieties of tea worth Rs. 70 per kg and Rs. 75 per kg so that by selling mixture at Rs. 80.30 kg he may gain 10%?

By using the formula, find the amount and compound interest on: A machine is purchased for Rs 625000. Its value depreciates at the rate of 8% per annum. What will be its value after 2 years ?

Cube root of 0.0435 in a simple way?

There are three tankers whose capacities are in the ratio 4 : 5 : 6. If the largest water tanker can hold a capacity of 3600 liters, then find the capacity of the other two tankers in liters.

In a dinner, there is enough meal for 200 children or 120 men. If 140 children had finished their meal, how many men can be catered to with the remaining meal? [ 3 MARKS ]

Which of these represents the simplest form of 4√52?

What is the mean of the following numbers: 2, 6, 4, 9, 7, 3, 5, 4, 3, 7.

The number lies between 100000 and 110000 which is exactly divisible by 8, 15 and 21 is.a)1680b)109200Explain with solution.

Can it happen that for some integer?

Appu’s mother is nine times as old as Appu. After nine years, her age would be three times that of Appu. What are their ages now?

If x−1x=4, Then the value of x4+1x4 will be

Two persons could fit new windows in the house in 3 days.(i) One of the persons fell ill before the work started. How long would the job take now?(ii) How many persons would be needed to fit the windows in one day?

What should be multiplied with x2y3 to make it a perfect cube, if x and y are prime numbers?

How many degrees is the angle which is 1/3 of a right angle?

What is the value of 0.25 % of 80?

Show that n3– n is divisible by 8, if n is an odd positive integ

Properties of multiplication of integersRepresentation1).Distributive Propertya). a×b=b×a2).Commutative Propertyb). a×(b×c)=(a×b)×c3).Associative Propertyc). a×(b+c)=(a×b)+(a×c)Pick the option which shows the correct match.

The diagonal of a trapezium shaped field is 25m and the perpendiculars dropped on it from the remaining opposite vertices are 8m and 12m. Find the area of the field(in m2).

If 4^{44} + 4^{44} + 4^{44} + 4^{44} = 4^x, then how to find the value of x?

A group of 3 friends staying together consume 54 kg of wheat every month. Some more friends join this group and they find that the same amount of wheat lasts for 18 days. How many new members are there in a group now ?

Solve the following equation by using the method of completing the square: 4x2+4bx−(a2−b2)=0

Which pair of angles are supplementary in the following diagram? Are there supplementary rays?

if 2 parallel sides of a trapezium are 80 centimeter and 60 centimeter and other sides are 24 centimeter and 28 centimeter then the area of the trapezium is

One diagonal of a rectangle makes 35o angle with larger side of rectangle. Find the obtuse angle between diagonals of the rectangle?

Find the smallest square number that is divisible by each of the numbers 8,15,and 20.

A 3×3 Rubik's cube has a total surface area of 54 cm2. Find the area occupied by single red tile of the cube.

What could the possible degrees of factors of 6x4?

Construct a square of diagonal AC =6.2 cm.

For 2 sets A, B, A is called a proper subset of B iff

The unit vector along i^ + j^ is ↑ 1) k^ 2) i^+ j^ 3) (i^+ j^)/\sqrt2 4) i^+ j^)/2

What is the value of 36×34?

Find the greatest common factors (GCF / HCF) of the following polynomials : 42x2yz and 63x3y2z3

Solve 22−4x3=x−9

Question 83Draw the net of the following solid.[Hint pentagons are not congruent.]

Q- there are 4 red, 3 green and 2 white balls in a box.Two balls in succession are picked up from the box.what is the probability that these balls are not green? 1)5/12 2)4/9 3)3/4 4)2/ 4)

Subtract ₹9.45 from the addition of ₹12 and ₹3.45.