24740 + Interview Questions in Mathematics Page 178 InterviewSolution

8851.	x3 − 23x2 + 142x − 120
Answer» x³ − 23x² + 142x − 120

Discussion

8852.	The distance between the graphs of the equations y = −1 and y = 3 is(a) 2(b) 4(c) 3(d) 1
Answer» The distance between the graphs of the equations y = −1 and y = 3 is (a) 2 (b) 4 (c) 3 (d) 1

Discussion

8853.	Theoretical probability, is also known as __?
Answer» Theoretical probability, is also known as __?

Discussion

8854.	In a quadrilateal ABCD, CO and DO are the bisectors of ∠C and ∠D respectively. Prove that ∠COD =12 (∠A + ∠B).
Answer» In a quadrilateal ABCD, CO and DO are the bisectors of ∠C and ∠D respectively. Prove that ∠COD = $\frac{1}{2}$ (∠A + ∠B).

Discussion

8855.	Question 4 Complete the hexagonal and star shaped rangolies (see the given figures) by filling them with as many equilateral triangles of side 1 cm as you can. Count the number of triangles in each case. Which has more triangles?
Answer» Question 4 Complete the hexagonal and star shaped rangolies (see the given figures) by filling them with as many equilateral triangles of side 1 cm as you can. Count the number of triangles in each case. Which has more triangles?

Discussion

8856.	Represent √9.3 on the number line.
Answer» Represent $\sqrt{9.3}$ on the number line.

Discussion

8857.	Classify the following as linear, quadratic and cubic polynomials:(i) x2 + x(ii) x – x3(iii) y + y2 + 4(iv) 1 + x
Answer» Classify the following as linear, quadratic and cubic polynomials: (i) x² + x (ii) x – x³ (iii) y + y² + 4 (iv) 1 + x

Discussion

8858.	In an isosceles triangle ABC, with AB=AC, the bisectors of ∠B and ∠C intersect each other at O. Join A to O. Show that :(i) OB=OC(ii) AO bisects A
Answer» In an isosceles triangle $A B C$ , with $A B = A C$ , the bisectors of $∠ B$ and $∠ C$ intersect each other at $O$ . Join $A$ to $O$ . Show that : (i) $O B = O C$ (ii) $A O$ bisects $A$

Discussion

8859.	The perpendicular distance of a point P from the X-axis is 4 units and from the Y-axis is 5 units (in the positive direction). What are the coordinates of point P?
Answer» The perpendicular distance of a point P from the X-axis is 4 units and from the Y-axis is 5 units (in the positive direction). What are the coordinates of point P?

Discussion

8860.	There is 60% increase in an amount in 6 years at simple interest rate. What will be the compound interest of ₹12,000 after 3 years at the same rate?
Answer» There is 60% increase in an amount in 6 years at simple interest rate. What will be the compound interest of ₹12,000 after 3 years at the same rate?

Discussion

8861.	If log xb−c=log yc−a=log za−b, then what is the value of xyz?
Answer» If $\frac{l o g x}{b - c} = \frac{l o g y}{c - a} = \frac{l o g z}{a - b}$ , then what is the value of xyz?

Discussion

8862.	Determine the ratio of the length of the longest rod that can be fitted in a sphere to the length of the longest rod that can be fitted in a cube, given that the sphere exactly fits inside the cube.
Answer» Determine the ratio of the length of the longest rod that can be fitted in a sphere to the length of the longest rod that can be fitted in a cube, given that the sphere exactly fits inside the cube.

Discussion

8863.

Record the following transactions in Double Columns Cash Book and balance the book on 31st March, 2019: 2019 ₹ March 1 Cash in Hand 12,750 Cash at Bank 72,400 March 4 Received from Asha cash ₹ 1,200 and a cheque for ₹ 3,200, allowed discount ₹ 400 March 7 Paid salary to staff by cheque 25,600 March 9 Withdrawn cash from bank for office use 21,900 March 12 Interest paid by bank on bank balance 1,200 March 16 Purchased furniture in cash 16,500 March 21 Paid Mohan & Co. by cheque, discount received ₹ 100 10,900 March 24 Proprietor withdrew from office cash for his personal use 11,600 March 29 Sold goods to Manoj for cash 14,800 March 31 Deposited office cash into bank 21,200

Answer» Record the following transactions in Double Columns Cash Book and balance the book on 31st March, 2019:

2019		₹
March 1	Cash in Hand	12,750
	Cash at Bank	72,400
March 4	Received from Asha cash ₹ 1,200 and a cheque for ₹ 3,200, allowed discount ₹ 400
March 7	Paid salary to staff by cheque	25,600
March 9	Withdrawn cash from bank for office use	21,900
March 12	Interest paid by bank on bank balance	1,200
March 16	Purchased furniture in cash	16,500
March 21	Paid Mohan & Co. by cheque, discount received ₹ 100	10,900
March 24	Proprietor withdrew from office cash for his personal use	11,600
March 29	Sold goods to Manoj for cash	14,800
March 31	Deposited office cash into bank	21,200

Discussion

8864.	How many natural numbers are there between 310 and710?
Answer» How many natural numbers are there $between \frac{3}{10} and \frac{7}{10}$ ?

Discussion

8865.	Refer to the following figure. Three squares are constructed on each side of the triangle as shown, with the length of each square equal to the side on which it is constructed. If the largest side is 13 cm, sum of the areas of the three squares is___. The angle opposite to the blue colour square is the right angle.
Answer» Refer to the following figure. Three squares are constructed on each side of the triangle as shown, with the length of each square equal to the side on which it is constructed. If the largest side is 13 cm, sum of the areas of the three squares is___. The angle opposite to the blue colour square is the right angle.

Discussion

8866.	A cube has numerically equal surface area and volume. Find the edge of such a cube.
Answer» A cube has numerically equal surface area and volume. Find the edge of such a cube.

Discussion

8867.	Question 2(b) Write True (T) or False (F) against each of the following statements: 21:6::35:10
Answer» Question 2(b) Write True (T) or False (F) against each of the following statements: $21 : 6 :: 35 : 10$

8867.

Question 2(b) Write True (T) or False (F) against each of the following statements: 21:6::35:10

Answer»

Question 2(b)

Write True (T) or False (F) against each of the following statements:

$21 : 6 :: 35 : 10$

Discussion

8868.	Question 79 In the following question, state whether the given statements are true (T) or false (F). The value of 14−2
Answer» Question 79 In the following question, state whether the given statements are true (T) or false (F). The value of $\frac{1}{4^{- 2}}$

8868.

Question 79 In the following question, state whether the given statements are true (T) or false (F). The value of 14−2

Answer»

Question 79

In the following question, state whether the given statements are true (T) or false (F).

The value of $\frac{1}{4^{- 2}}$

Discussion

8869.	If O is the centre of a circle of radius r and AB is a chord of the circle at a distance r/2 from O, then ∠BAO =(a) 60°(b) 45°(c) 30°(d) 15°
Answer» If O is the centre of a circle of radius r and AB is a chord of the circle at a distance r/2 from O, then ∠BAO = (a) 60° (b) 45° (c) 30° (d) 15°

Discussion

8870.	factorise x3-1/x3-5x+5/x
Answer» factorise x3-1/x3-5x+5/x

Discussion

8871.	Expand.(i) ( 5a + 6b)2 (ii) a2 + b32 (iii) 2p - 3q2 (iv) x - 2x2(v) ax + by2 (vi) 7m - 42 (vii) x +122 (viii) a - 1a2
Answer» Expand. (i) ( 5a + 6b)² (ii) ${(\frac{a}{2} + \frac{b}{3})}^{2}$ (iii) ${(2 p - 3 q)}^{2}$ (iv) ${(x - \frac{2}{x})}^{2}$ (v) ${(a x + b y)}^{2}$ (vi) ${(7 m - 4)}^{2}$ (vii) ${(x + \frac{1}{2})}^{2}$ (viii) ${(a - \frac{1}{a})}^{2}$

Discussion

8872.	In triangle ABC angle C = 5 angle A - 5 degree = 3 angle B + 15 degree. find the three angles of triangle ABC.
Answer» In triangle ABC angle C = 5 angle A - 5 degree = 3 angle B + 15 degree. find the three angles of triangle ABC.

Discussion

8873.	Mahibur paid an interest of ₹750 for 2 years on a sum of ₹4500. If the rate of interest is x13, then find the value of 'x'.
Answer» Mahibur paid an interest of ₹750 for 2 years on a sum of ₹4500. If the rate of interest is $x \frac{1}{3}$ , then find the value of ' $x$ '.

Discussion

8874.	If the product of x2−6x+5 and 2x2−7x+3 is 0, which of the following is not a value of 'x'?
Answer» If the product of $x^{2} - 6 x + 5 a n d 2 x^{2} - 7 x + 3$ is 0, which of the following is not a value of 'x'?

Discussion

8875.	In cyclic quadrilateral ABCD AD =BC, ∠BAC=30∘ and ∠CBD=70∘; find : (i) ∠BCD (ii) ∠BCA (iii) ∠ABC (iv) ∠ADC
Answer» In cyclic quadrilateral ABCD AD =BC, $∠ B A C = 30^{\circ} a n d ∠ C B D = 70^{\circ};$ find : (i) $∠ B C D$ (ii) $∠ B C A$ (iii) $∠ A B C$ (iv) $∠ A D C$

8875.

In cyclic quadrilateral ABCD AD =BC, ∠BAC=30∘ and ∠CBD=70∘; find : (i) ∠BCD (ii) ∠BCA (iii) ∠ABC (iv) ∠ADC

Answer»

In cyclic quadrilateral ABCD

AD =BC,

$∠ B A C = 30^{\circ} a n d ∠ C B D = 70^{\circ};$ find :

(i) $∠ B C D$ (ii) $∠ B C A$

(iii) $∠ A B C$ (iv) $∠ A D C$

Discussion

8876.	Is x+x√x a polynomial
Answer» Is x+x√x a polynomial

Discussion

8877.	If the point P(k − 1, 2) is equidistant from the points A(3, k) and B(k, 5), find the values of k. [CBSE 2014]
Answer» If the point P(k − 1, 2) is equidistant from the points A(3, k) and B(k, 5), find the values of k. [CBSE 2014]

Discussion

8878.	1417×1417 can be represented as ___________.
Answer» $14^{\frac{1}{7}} \times 14^{\frac{1}{7}}$ can be represented as ___________.

Discussion

8879.	There are two circles each with radius 5 cm. The length of tangent AB is 26 cm. Find the length of tangent CD.
Answer» There are two circles each with radius 5 cm. The length of tangent AB is 26 cm. Find the length of tangent CD.

8879.

There are two circles each with radius 5 cm. The length of tangent AB is 26 cm. Find the length of tangent CD.

Answer»

There are two circles each with radius 5 cm. The length of tangent AB is 26 cm. Find the length of tangent CD.

Discussion

8880.	If the radius of a cone is 6 cm and its slant height (L) is 10 cm, then its height is _____ cm.
Answer» If the radius of a cone is 6 cm and its slant height (L) is 10 cm, then its height is _____ cm.

Discussion

8881.	If the radius of a cylinder is reduced by 50%, then the volume of the cylinder will be reduced by_____.
Answer» If the radius of a cylinder is reduced by 50%, then the volume of the cylinder will be reduced by_____.

Discussion

8882.	Question 49Histogram given below shows the number of people owning the different number of books. The number of people owning books less than 40 are ___
Answer» Question 49 Histogram given below shows the number of people owning the different number of books. The number of people owning books less than 40 are ___

8882.

Question 49Histogram given below shows the number of people owning the different number of books. The number of people owning books less than 40 are ___

Answer»

Question 49

Histogram given below shows the number of people owning the different number of books.

The number of people owning books less than 40 are ___

Discussion

8883.	Degree of the zero polynomial is(a) 0(b) 1(c) any natural number(d) not defined
Answer» Degree of the zero polynomial is (a) 0 (b) 1 (c) any natural number (d) not defined

Discussion

8884.	A pump pumps water at a height of 50m above the ground. And it fills 50 m^3 volume in 20 minutes. If the efficiency of the pump is 40%, then calculate the power of the pump.(Take "g" as 10 m/s^2)
Answer» A pump pumps water at a height of 50m above the ground. And it fills 50 m^3 volume in 20 minutes. If the efficiency of the pump is 40%, then calculate the power of the pump. (Take "g" as 10 m/s^2)

Discussion

8885.	In isosceles triangle triangle ABC, AB=AC. The side BA is produced to D such that BA=AD. Prove that : ∠BCD=90∘.
Answer» In isosceles triangle triangle $A B C$ , $A B = A C$ . The side $B A$ is produced to $D$ such that $B A = A D$ . Prove that : $∠ B C D = 90^{\circ}$ .

Discussion

8886.	Which of the following is a polynomial ? (a) x−2+x−1+3 (b) x+x−1+2 (c) x−1 (d) 0
Answer» Which of the following is a polynomial ? (a) $x^{- 2} + x^{- 1} + 3$ (b) $x + x^{- 1} + 2$ (c) $x^{- 1}$ (d) $0$

Discussion

8887.	Using the remainder theorem, find the remainder, when p(x) is divided by g(x), wherepx=6x3+13x2+3, gx=3x+2.
Answer» Using the remainder theorem, find the remainder, when p(x) is divided by g(x), where $p (x) = 6 x^{3} + 13 x^{2} + 3, g (x) = 3 x + 2$ .

Discussion

8888.	Five equal point charges are located at x = 2,3,4,5,6 m, if the potential at the origin is 540 V, then the amount of individual charge will be _____ nC41.38
Answer» Five equal point charges are located at x = 2,3,4,5,6 m, if the potential at the origin is 540 V, then the amount of individual charge will be _____ nC 41.38

Discussion

8889.	Write the value of (2+√3)(2−√3)
Answer» Write the value of $(2 + \sqrt{3}) (2 - \sqrt{3})$

Discussion

8890.	In a histogram the class intervals or the group are taken along(a) Y-axis(b) X-axis(c) both of X-axis and Y-axis(d) in between X and Y axis
Answer» In a histogram the class intervals or the group are taken along (a) Y-axis (b) X-axis (c) both of X-axis and Y-axis (d) in between X and Y axis

Discussion

8891.	If ΔABC is right angled at C, ∠A = 45o and BC = 7 units then ∠B and AC will be
Answer» If ΔABC is right angled at C, ∠A = 45^o and BC = 7 units then ∠B and AC will be

Discussion

8892.	Which of the equations given below have graphs parallel to the X-axis, and which ones have graphs parallel to the Y-axis ?(i) x = 3 (ii) y -2 = 0 (iii) x + 6 = 0 (iv) y = -5
Answer» Which of the equations given below have graphs parallel to the X-axis, and which ones have graphs parallel to the Y-axis ? (i) x = 3 (ii) y $-$ 2 = 0 (iii) x + 6 = 0 (iv) y = $-$ 5

Discussion

8893.	How to show 6^(0.5) is an irrational number?
Answer» How to show 6^(0.5) is an irrational number?

Discussion

8894.	Question 12 (i)ABCD is a trapezium in which AB parallel CD and AD =BC (see the given figure). Show that ∠A=∠B.
Answer» Question 12 (i) ABCD is a trapezium in which AB parallel CD and AD =BC (see the given figure). Show that $∠ A = ∠ B$ .

Discussion

8895.	9x²-12x+3 , factorise
Answer» 9x²-12x+3 , factorise

Discussion

8896.	Find the area of a triangle whose sides are 3 cm, 4 cm and 5 cm respectively.
Answer» Find the area of a triangle whose sides are 3 cm, 4 cm and 5 cm respectively.

Discussion

8897.	Find the point where the line represented by the equation 5y – 3x – 10 = 0 cuts the y-axis.
Answer» Find the point where the line represented by the equation 5y – 3x – 10 = 0 cuts the y-axis.

Discussion

8898.	The value of x for which vectors →a=6^i+4^j−x^k and →b=2^i+43^j−3^k are parallel, is equal to
Answer» The value of $x$ for which vectors $\to a = 6^i + 4^j - x^k$ and $\to b = 2^i + \frac{4}{3}^j - 3^k$ are parallel, is equal to

Discussion

8899.	A polynomial of degree ___ is called quadratic polynomial
Answer» A polynomial of degree ___ is called quadratic polynomial

Discussion

8900.	A cylindrical container of radius 28 m and height 24 m is full of water. The water is emptied into a dry swimming pool of length 100 m and breadth 28 m. Find the rise of water level in the swimming pool.
Answer» A cylindrical container of radius 28 m and height 24 m is full of water. The water is emptied into a dry swimming pool of length 100 m and breadth 28 m. Find the rise of water level in the swimming pool.

Discussion

Explore topic-wise InterviewSolutions in .

x3 − 23x2 + 142x − 120

The distance between the graphs of the equations y = −1 and y = 3 is(a) 2(b) 4(c) 3(d) 1

Theoretical probability, is also known as __?

In a quadrilateal ABCD, CO and DO are the bisectors of ∠C and ∠D respectively. Prove that ∠COD =12 (∠A + ∠B).

Question 4 Complete the hexagonal and star shaped rangolies (see the given figures) by filling them with as many equilateral triangles of side 1 cm as you can. Count the number of triangles in each case. Which has more triangles?

Represent √9.3 on the number line.

Classify the following as linear, quadratic and cubic polynomials:(i) x2 + x(ii) x – x3(iii) y + y2 + 4(iv) 1 + x

In an isosceles triangle ABC, with AB=AC, the bisectors of ∠B and ∠C intersect each other at O. Join A to O. Show that :(i) OB=OC(ii) AO bisects A

The perpendicular distance of a point P from the X-axis is 4 units and from the Y-axis is 5 units (in the positive direction). What are the coordinates of point P?

There is 60% increase in an amount in 6 years at simple interest rate. What will be the compound interest of ₹12,000 after 3 years at the same rate?

If log xb−c=log yc−a=log za−b, then what is the value of xyz?

Determine the ratio of the length of the longest rod that can be fitted in a sphere to the length of the longest rod that can be fitted in a cube, given that the sphere exactly fits inside the cube.

How many natural numbers are there between 310 and710?

A cube has numerically equal surface area and volume. Find the edge of such a cube.

Question 2(b) Write True (T) or False (F) against each of the following statements: 21:6::35:10

Question 79 In the following question, state whether the given statements are true (T) or false (F). The value of 14−2

If O is the centre of a circle of radius r and AB is a chord of the circle at a distance r/2 from O, then ∠BAO =(a) 60°(b) 45°(c) 30°(d) 15°

factorise x3-1/x3-5x+5/x

Expand.(i) ( 5a + 6b)2 (ii) a2 + b32 (iii) 2p - 3q2 (iv) x - 2x2(v) ax + by2 (vi) 7m - 42 (vii) x +122 (viii) a - 1a2

In triangle ABC angle C = 5 angle A - 5 degree = 3 angle B + 15 degree. find the three angles of triangle ABC.

Mahibur paid an interest of ₹750 for 2 years on a sum of ₹4500. If the rate of interest is x13, then find the value of 'x'.

If the product of x2−6x+5 and 2x2−7x+3 is 0, which of the following is not a value of 'x'?

In cyclic quadrilateral ABCD AD =BC, ∠BAC=30∘ and ∠CBD=70∘; find : (i) ∠BCD (ii) ∠BCA (iii) ∠ABC (iv) ∠ADC

Is x+x√x a polynomial

If the point P(k − 1, 2) is equidistant from the points A(3, k) and B(k, 5), find the values of k. [CBSE 2014]

1417×1417 can be represented as ___________.

There are two circles each with radius 5 cm. The length of tangent AB is 26 cm. Find the length of tangent CD.

If the radius of a cone is 6 cm and its slant height (L) is 10 cm, then its height is _____ cm.

If the radius of a cylinder is reduced by 50%, then the volume of the cylinder will be reduced by_____.

Question 49Histogram given below shows the number of people owning the different number of books. The number of people owning books less than 40 are ___

Degree of the zero polynomial is(a) 0(b) 1(c) any natural number(d) not defined

A pump pumps water at a height of 50m above the ground. And it fills 50 m^3 volume in 20 minutes. If the efficiency of the pump is 40%, then calculate the power of the pump.(Take "g" as 10 m/s^2)

In isosceles triangle triangle ABC, AB=AC. The side BA is produced to D such that BA=AD. Prove that : ∠BCD=90∘.

Which of the following is a polynomial ? (a) x−2+x−1+3 (b) x+x−1+2 (c) x−1 (d) 0

Using the remainder theorem, find the remainder, when p(x) is divided by g(x), wherepx=6x3+13x2+3, gx=3x+2.

Five equal point charges are located at x = 2,3,4,5,6 m, if the potential at the origin is 540 V, then the amount of individual charge will be _____ nC41.38

Write the value of (2+√3)(2−√3)

In a histogram the class intervals or the group are taken along(a) Y-axis(b) X-axis(c) both of X-axis and Y-axis(d) in between X and Y axis

If ΔABC is right angled at C, ∠A = 45o and BC = 7 units then ∠B and AC will be

Which of the equations given below have graphs parallel to the X-axis, and which ones have graphs parallel to the Y-axis ?(i) x = 3 (ii) y -2 = 0 (iii) x + 6 = 0 (iv) y = -5

How to show 6^(0.5) is an irrational number?

Question 12 (i)ABCD is a trapezium in which AB parallel CD and AD =BC (see the given figure). Show that ∠A=∠B.

9x²-12x+3 , factorise

Find the area of a triangle whose sides are 3 cm, 4 cm and 5 cm respectively.

Find the point where the line represented by the equation 5y – 3x – 10 = 0 cuts the y-axis.

The value of x for which vectors →a=6^i+4^j−x^k and →b=2^i+43^j−3^k are parallel, is equal to

A polynomial of degree ___ is called quadratic polynomial

A cylindrical container of radius 28 m and height 24 m is full of water. The water is emptied into a dry swimming pool of length 100 m and breadth 28 m. Find the rise of water level in the swimming pool.