24740 + Interview Questions in Mathematics

1.	A lending library has a fixed charge for the first three days and an additional charge for each day thereafter. Aarushi paid Rs 27 for a book kept for seven days. If fixed charges are Rs x and per day charges are Rs y, write the linear equation representing the above information.
Answer» A lending library has a fixed charge for the first three days and an additional charge for each day thereafter. Aarushi paid Rs 27 for a book kept for seven days. If fixed charges are Rs x and per day charges are Rs y, write the linear equation representing the above information.

Discussion

2.	IfIf a1a2=b1b2=c1c2, the system of equations are consistent , coincident lines and have infinite solutions. for the system of equations a1x+b1y+c1=0 and a2x+b2y+c2=0 ,then :
Answer» IfIf a1a2=b1b2=c1c2, the system of equations are consistent , coincident lines and have infinite solutions. for the system of equations $a_{1} x + b_{1} y + c_{1} = 0$ and $a_{2} x + b_{2} y + c_{2} = 0$ ,then :

Discussion

3.	If a+b+c=8 and ab+bc+ca=20, find the value of a3+b3+c3–3abc.
Answer» If $a + b + c = 8$ and $a b + b c + c a = 20$ , find the value of $a^{3} + b^{3} + c^{3} - 3 a b c$ .

Discussion

4.	A shopkeeper sells lemon juice. He fills glasses from a big cylidrical container of height 35.2 cm and radius 10 cm . He charges Rs. 10 for each glass of height 10cm and 4cm radius. The amount of money he earns by selling juice is(Take π= 227)
Answer» A shopkeeper sells lemon juice. He fills glasses from a big cylidrical container of height 35.2 cm and radius 10 cm . He charges Rs. 10 for each glass of height 10cm and 4cm radius. The amount of money he earns by selling juice is(Take $π$ = $\frac{22}{7}$ )

Discussion

5.	Find the Surface Area of :
Answer» Find the Surface Area of :

5.

Find the Surface Area of :

Answer»

Find the Surface Area of :

Discussion

6.	Find the X intercept of 3x - 4y = 12
Answer» Find the X intercept of 3x - 4y = 12

Discussion

7.	The fractional form of 1.25 is .
Answer» The fractional form of 1.25 is .

Discussion

8.	Slove using identities (x+1)whole cube -(x-1) whole cube
Answer» Slove using identities (x+1)whole cube -(x-1) whole cube

Discussion

9.	Pls arrange a session today on the chapter ratio and proportion.
Answer» Pls arrange a session today on the chapter ratio and proportion.

Discussion

10.	a(cosC - cosB) = 2(b-c)cos^2(A\2) Prove that LHS = RHS
Answer» a(cosC - cosB) = 2(b-c)cos^2(A\2) Prove that LHS = RHS

Discussion

11.	Choose the correct option to change the given sentence into indirect speech. My friend said to me, “Bravo! I am proud of you!”
Answer» Choose the correct option to change the given sentence into indirect speech. My friend said to me, “Bravo! I am proud of you!”

11.

Choose the correct option to change the given sentence into indirect speech. My friend said to me, “Bravo! I am proud of you!”

Answer»

Choose the correct option to change the given sentence into indirect speech.

My friend said to me, “Bravo! I am proud of you!”

Discussion

12.	Can you tell the solution of the question below ??? " A ball is projected with a speed of 20 m/s at an angle of 3o degree from a point on the top if a very high tower . the time after which it velocity becomes perpendicular to the velocity of projection ( take g = 10 m/s^2 ) "
Answer» Can you tell the solution of the question below ??? " A ball is projected with a speed of 20 m/s at an angle of 3o degree from a point on the top if a very high tower . the time after which it velocity becomes perpendicular to the velocity of projection ( take g = 10 m/s^2 ) "

Discussion

13.	Three cubes of metal with edges 3 cm 4 cm and 5 cm respectively are melted to form a single cube find the lateral surface area of the new cube formed
Answer» Three cubes of metal with edges 3 cm 4 cm and 5 cm respectively are melted to form a single cube find the lateral surface area of the new cube formed

Discussion

14.	Which of the following should be the SECOND sentence after rearrangement?
Answer» Which of the following should be the SECOND sentence after rearrangement?

Discussion

15.	Factorize: a2−14a+49
Answer» Factorize: $a^{2} - 14 a + 49$

Discussion

16.	Coefficient of xy in the expansion of (4x - 7y)2 is
Answer» Coefficient of xy in the expansion of (4x - 7y)² is

Discussion

17.	When we formally prove the angle sum property of a triangle then we need to draw a line parallel to the base of triangle.. why this is so?any particular reason??
Answer» When we formally prove the angle sum property of a triangle then we need to draw a line parallel to the base of triangle.. why this is so?any particular reason??

Discussion

18.	The value of a machinery is Rs.20000, which is depreciating at the rate of 15% annually. What will be the value of the machinery after 2 years in rupees? ___
Answer» The value of a machinery is Rs.20000, which is depreciating at the rate of 15% annually. What will be the value of the machinery after 2 years in rupees? ___

Discussion

19.	In the given figure, AC\|\|QR and AB\|\|PR. What is the length of PC if DP = 8 cm, AP = 4 cm, and CR = 3.9 cm?
Answer» In the given figure, AC\|\|QR and AB\|\|PR. What is the length of PC if DP = 8 cm, AP = 4 cm, and CR = 3.9 cm?

19.

In the given figure, AC||QR and AB||PR. What is the length of PC if DP = 8 cm, AP = 4 cm, and CR = 3.9 cm?

Answer»

In the given figure, AC||QR and AB||PR.

What is the length of PC if DP = 8 cm, AP = 4 cm, and CR = 3.9 cm?

Discussion

20.	Let →a=a1^i+α2^j+a3^k, →b=b1^i+b2^j+b3^k and →c=c1 ^i+c2 ^j+c3 ^k be three non-zero vectors such that →c is a unit vector perpendicular to both the vectors →a and →b. If the angle between →a and →b is π6, then ∣∣∣∣a1a2a3b1b2b3c1c2c3∣∣∣∣2 is equal to
Answer» Let $\to a = a_{1}^i + α_{2}^j + a_{3}^k, \to b = b_{1}^i + b_{2}^j + b_{3}^k a n d \to c = c_{1}^i + c_{2}^j + c_{3}^k$ be three non-zero vectors such that $\to c$ is a unit vector perpendicular to both the vectors $\to a$ and $\to b$ . If the angle between $\to a$ and $\to b$ is $\frac{π}{6},$ then ${∣ ∣∣ ∣ \begin{matrix} a_{1} & a_{2} & a_{3} b_{1} & b_{2} & b_{3} c_{1} & c_{2} & c_{3} \end{matrix} ∣ ∣∣ ∣}^{2}$ is equal to

Discussion

21.	Find the slope (m) and y - intercept (c) of the line y=4x−12.
Answer» Find the slope (m) and y - intercept (c) of the line $y = 4 x - \frac{1}{2}$ .

Discussion

22.	If log6216=x, what is the value of x? ___
Answer» If $l o g_{6} 216 = x$ , what is the value of x? ___

Discussion

23.	In a parallelogram, if ∠A = (2x +25)o and ∠B = ( 3x – 5)o, the value of x is
Answer» In a parallelogram, if ∠A = (2x +25)^o and ∠B = ( 3x – 5)^o, the value of x is

Discussion

24.	5x-3y=1 2x+5y-19=0
Answer» 5x-3y=1 2x+5y-19=0

24.

5x-3y=1 2x+5y-19=0

Answer»

5x-3y=1

2x+5y-19=0

Discussion

25.	In a birthday party, out of ¾ th of the cake, ⅔ of it was given to guests and the remaining was given to the neighbours.The fraction of the cake given to the neighbours was.
Answer» In a birthday party, out of ¾ th of the cake, ⅔ of it was given to guests and the remaining was given to the neighbours.The fraction of the cake given to the neighbours was.

Discussion

26.	If ab+ba=1, then a3+b3=
Answer» If $\frac{a}{b} + \frac{b}{a} = 1, then a^{3} + b^{3} =$

Discussion

27.	For polynomial division, degree of the remainder is always ___ ( greater / lesser ) than the degree of the divisor.
Answer» For polynomial division, degree of the remainder is always ___ ( greater / lesser ) than the degree of the divisor.

Discussion

28.	Question 3(d) Insert commas suitable and write the names according to Indian system of numeration: 98432701
Answer» Question 3(d) Insert commas suitable and write the names according to Indian system of numeration: 98432701

Discussion

29.	Express the following rational numbers as decimals: (i) 42100 (ii) 327500 (iii) 154
Answer» Express the following rational numbers as decimals: (i) $\frac{42}{100}$ (ii) $\frac{327}{500}$ (iii) $\frac{15}{4}$

29.

Express the following rational numbers as decimals: (i) 42100 (ii) 327500 (iii) 154

Answer»

Express the following rational numbers as decimals:

(i) $\frac{42}{100}$ (ii) $\frac{327}{500}$ (iii) $\frac{15}{4}$

Discussion

30.	BM and CN are perpendicular to a line passing through the vertex A of a triangle ABC. If L is the mid-point of BC, prove that LM = LN.
Answer» BM and CN are perpendicular to a line passing through the vertex A of a triangle ABC. If L is the mid-point of BC, prove that LM = LN.

Discussion

31.	The volume of a cube with length of side 14 cm is ____________ cm3.___
Answer» The volume of a cube with length of side 14 cm is ____________ $c m^{3}$ . ___

Discussion

32.	Refer the figure below and answer the questions that follow. In the figure, line l is parallel to line m. What is the value of angle 3?
Answer» Refer the figure below and answer the questions that follow. In the figure, line l is parallel to line m. What is the value of angle 3?

32.

Refer the figure below and answer the questions that follow. In the figure, line l is parallel to line m. What is the value of angle 3?

Answer»

Refer the figure below and answer the questions that follow. In the figure, line l is parallel to line m.

What is the value of angle 3?

Discussion

33.	In a △ABC, ∠ABC = 30∘ and ∠ACB = 45∘. Which is the longest side in this triangle?
Answer» In a $△$ ABC, $∠$ ABC = $30^{\circ}$ and $∠$ ACB = $45^{\circ}$ . Which is the longest side in this triangle?

33.

In a △ABC, ∠ABC = 30∘ and ∠ACB = 45∘. Which is the longest side in this triangle?

Answer»

In a $△$ ABC, $∠$ ABC = $30^{\circ}$ and $∠$ ACB = $45^{\circ}$ . Which is the longest side in this triangle?

Discussion

34.	If ABC is an isosceles triangle right angled at C, then which of the following is true?
Answer» If ABC is an isosceles triangle right angled at C, then which of the following is true?

Discussion

35.	Simplify the following (25)^3\2 × (243)^3\5 ÷ (16)^5\4 × (8)^4\3
Answer» Simplify the following (25)^3\2 × (243)^3\5 ÷ (16)^5\4 × (8)^4\3

Discussion

36.	If I get a composite number 32 times out of 100 rolls of a die, then the probability of getting a prime is ___.
Answer» If I get a composite number 32 times out of 100 rolls of a die, then the probability of getting a prime is ___.

Discussion

37.	Fill in the blanks in the following so that each of the following statements is true. (i) Sides opposite to equal angles of a triangle are ___ (ii) Angle opposite to equal sides of a triangle are ___ (iii) In an equilateral triangle all angles are ___ (iv) In a ΔABC if ∠A=∠C, then AB=___ (v) If altitudes CE and BF of a triangle ABC are equal, then AB = ___ (vi) In an isosceles, triangle ABC with AB = AC, if BD and CE are its altitudes then BD is ___ CE. (vii) In right triangles ABC and DEF, if hypotenuse AB = EF and side AC = DE, then ΔABC≅Δ___
Answer» Fill in the blanks in the following so that each of the following statements is true. (i) Sides opposite to equal angles of a triangle are ___ (ii) Angle opposite to equal sides of a triangle are ___ (iii) In an equilateral triangle all angles are ___ (iv) In a $Δ A B C i f ∠ A = ∠ C, t h e n A B =$ ___ (v) If altitudes CE and BF of a triangle ABC are equal, then AB = ___ (vi) In an isosceles, triangle ABC with AB = AC, if BD and CE are its altitudes then BD is ___ CE. (vii) In right triangles ABC and DEF, if hypotenuse AB = EF and side AC = DE, then $Δ A B C ≅ Δ$ ___

37.

Fill in the blanks in the following so that each of the following statements is true. (i) Sides opposite to equal angles of a triangle are _ (ii) Angle opposite to equal sides of a triangle are _ (iii) In an equilateral triangle all angles are _ (iv) In a ΔABC if ∠A=∠C, then AB=_ (v) If altitudes CE and BF of a triangle ABC are equal, then AB = _ (vi) In an isosceles, triangle ABC with AB = AC, if BD and CE are its altitudes then BD is _ CE. (vii) In right triangles ABC and DEF, if hypotenuse AB = EF and side AC = DE, then ΔABC≅Δ___

Answer»

Fill in the blanks in the following so that each of the following statements is true.

(i) Sides opposite to equal angles of a triangle are ___

(ii) Angle opposite to equal sides of a triangle are ___

(iii) In an equilateral triangle all angles are ___

(iv) In a $Δ A B C i f ∠ A = ∠ C, t h e n A B =$ ___

(v) If altitudes CE and BF of a triangle ABC are equal, then AB = ___

(vi) In an isosceles, triangle ABC with AB = AC, if BD and CE are its altitudes then BD is ___ CE.

(vii) In right triangles ABC and DEF, if hypotenuse AB = EF and side AC = DE, then $Δ A B C ≅ Δ$ ___

Discussion

38.	Question 2 (ii) Find the measure of each exterior angle of a regular polygon of: (ii) 15 sides
Answer» Question 2 (ii) Find the measure of each exterior angle of a regular polygon of: (ii) 15 sides

Discussion

39.	The radius of a circle with centre at origin is 30 units. If the circle intersects the coordinate axes at ‘a’ and ‘b’ respectively, find the distance between the two points.
Answer» The radius of a circle with centre at origin is 30 units. If the circle intersects the coordinate axes at ‘a’ and ‘b’ respectively, find the distance between the two points.

Discussion

40.	Factorise 32a4−8a2
Answer» Factorise $32 a^{4} - 8 a^{2}$

Discussion

41.	What's the cost of painting a box which is in the shape of a cuboid of dimensions 3 m×4 m×5 m at a rate of ₹ 5/m2?
Answer» What's the cost of painting a box which is in the shape of a cuboid of dimensions $3 m \times 4 m \times 5 m$ at a rate of $₹ 5 / m^{2}$ ?

Discussion

42.	Prove that difference of 2 sides of a triangle is lesser than the 3rd side.
Answer» Prove that difference of 2 sides of a triangle is lesser than the 3rd side.

Discussion

43.	If a2+4b2=12ab, then log(a + 2b) is
Answer» If $a^{2} + 4 b^{2} = 12 a b$ , then log(a + 2b) is

Discussion

44.	Incircle touches the __ of a hexagon.
Answer» Incircle touches the __ of a hexagon.

Discussion

45.	Find 16 rational numbers between 2.1 and2.2
Answer» Find 16 rational numbers between 2.1 and2.2

Discussion

46.	If two equal chords of a circle intersect within a circle. Prove that the segment of one chord are equal to the corresponding segment of another.
Answer» If two equal chords of a circle intersect within a circle. Prove that the segment of one chord are equal to the corresponding segment of another.

Discussion

47.	factorise completely 2x + 4y + px + 2py please explain this problem elaborately becaue i have my board exam tomorrow and i need help as fast as possible
Answer» factorise completely 2x + 4y + px + 2py please explain this problem elaborately becaue i have my board exam tomorrow and i need help as fast as possible

47.

factorise completely 2x + 4y + px + 2py please explain this problem elaborately becaue i have my board exam tomorrow and i need help as fast as possible

Answer»

factorise completely

2x + 4y + px + 2py

please explain this problem elaborately becaue i have my board exam tomorrow and i need help as fast as possible

Discussion

48.	Is x - 1/x a polynomial
Answer» Is x - 1/x a polynomial

Discussion

49.	A cistern of capacity 8000 litres measures externally 3.3 m by 2.6 m by 1.1 m and its walls are 5 cm thick. The thickness of the bottom is:
Answer» A cistern of capacity 8000 litres measures externally 3.3 m by 2.6 m by 1.1 m and its walls are 5 cm thick. The thickness of the bottom is:

Discussion

50.	If x < 5 and y > 8, then \|x - y\| is
Answer» If x < 5 and y > 8, then \|x - y\| is

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

A lending library has a fixed charge for the first three days and an additional charge for each day thereafter. Aarushi paid Rs 27 for a book kept for seven days. If fixed charges are Rs x and per day charges are Rs y, write the linear equation representing the above information.

IfIf a1a2=b1b2=c1c2, the system of equations are consistent , coincident lines and have infinite solutions. for the system of equations a1x+b1y+c1=0 and a2x+b2y+c2=0 ,then :

If a+b+c=8 and ab+bc+ca=20, find the value of a3+b3+c3–3abc.

A shopkeeper sells lemon juice. He fills glasses from a big cylidrical container of height 35.2 cm and radius 10 cm . He charges Rs. 10 for each glass of height 10cm and 4cm radius. The amount of money he earns by selling juice is(Take π= 227)

Find the Surface Area of :

Find the X intercept of 3x - 4y = 12

The fractional form of 1.25 is .

Slove using identities (x+1)whole cube -(x-1) whole cube

Pls arrange a session today on the chapter ratio and proportion.

a(cosC - cosB) = 2(b-c)cos^2(A\2) Prove that LHS = RHS

Choose the correct option to change the given sentence into indirect speech. My friend said to me, “Bravo! I am proud of you!”

Can you tell the solution of the question below ??? " A ball is projected with a speed of 20 m/s at an angle of 3o degree from a point on the top if a very high tower . the time after which it velocity becomes perpendicular to the velocity of projection ( take g = 10 m/s^2 ) "

Three cubes of metal with edges 3 cm 4 cm and 5 cm respectively are melted to form a single cube find the lateral surface area of the new cube formed

Which of the following should be the SECOND sentence after rearrangement?

Factorize: a2−14a+49

Coefficient of xy in the expansion of (4x - 7y)2 is

When we formally prove the angle sum property of a triangle then we need to draw a line parallel to the base of triangle.. why this is so?any particular reason??

The value of a machinery is Rs.20000, which is depreciating at the rate of 15% annually. What will be the value of the machinery after 2 years in rupees? ___

In the given figure, AC||QR and AB||PR. What is the length of PC if DP = 8 cm, AP = 4 cm, and CR = 3.9 cm?

Let →a=a1^i+α2^j+a3^k, →b=b1^i+b2^j+b3^k and →c=c1 ^i+c2 ^j+c3 ^k be three non-zero vectors such that →c is a unit vector perpendicular to both the vectors →a and →b. If the angle between →a and →b is π6, then ∣∣∣∣a1a2a3b1b2b3c1c2c3∣∣∣∣2 is equal to

Find the slope (m) and y - intercept (c) of the line y=4x−12.

If log6216=x, what is the value of x? ___

In a parallelogram, if ∠A = (2x +25)o and ∠B = ( 3x – 5)o, the value of x is

5x-3y=1 2x+5y-19=0

In a birthday party, out of ¾ th of the cake, ⅔ of it was given to guests and the remaining was given to the neighbours.The fraction of the cake given to the neighbours was.

If ab+ba=1, then a3+b3=

For polynomial division, degree of the remainder is always ___ ( greater / lesser ) than the degree of the divisor.

Question 3(d) Insert commas suitable and write the names according to Indian system of numeration: 98432701

Express the following rational numbers as decimals: (i) 42100 (ii) 327500 (iii) 154

BM and CN are perpendicular to a line passing through the vertex A of a triangle ABC. If L is the mid-point of BC, prove that LM = LN.

The volume of a cube with length of side 14 cm is ____________ cm3.___

Refer the figure below and answer the questions that follow. In the figure, line l is parallel to line m. What is the value of angle 3?

In a △ABC, ∠ABC = 30∘ and ∠ACB = 45∘. Which is the longest side in this triangle?

If ABC is an isosceles triangle right angled at C, then which of the following is true?

Simplify the following (25)^3\2 × (243)^3\5 ÷ (16)^5\4 × (8)^4\3

If I get a composite number 32 times out of 100 rolls of a die, then the probability of getting a prime is ___.

Question 2 (ii) Find the measure of each exterior angle of a regular polygon of: ​(ii) 15 sides

The radius of a circle with centre at origin is 30 units. If the circle intersects the coordinate axes at ‘a’ and ‘b’ respectively, find the distance between the two points.

Factorise 32a4−8a2

What's the cost of painting a box which is in the shape of a cuboid of dimensions 3 m×4 m×5 m at a rate of ₹ 5/m2?

Prove that difference of 2 sides of a triangle is lesser than the 3rd side.

If a2+4b2=12ab, then log(a + 2b) is

Incircle touches the __ of a hexagon.

Find 16 rational numbers between 2.1 and2.2

If two equal chords of a circle intersect within a circle. Prove that the segment of one chord are equal to the corresponding segment of another.

factorise completely 2x + 4y + px + 2py please explain this problem elaborately becaue i have my board exam tomorrow and i need help as fast as possible

Is x - 1/x a polynomial

A cistern of capacity 8000 litres measures externally 3.3 m by 2.6 m by 1.1 m and its walls are 5 cm thick. The thickness of the bottom is:

If x &lt; 5 and y &gt; 8, then |x - y| is

The volume of a cube with length of side 14 cm is __________ cm3._

Question 2 (ii) Find the measure of each exterior angle of a regular polygon of: (ii) 15 sides

If x < 5 and y > 8, then |x - y| is