24740 + Interview Questions in Mathematics Page 63 InterviewSolution

3101.	In the figure given below, the area of parallelogram ABCD is:
Answer» In the figure given below, the area of parallelogram ABCD is:

Discussion

3102.	Line ax+by+c=0 makes an angle 45 with xcosѲ+ysinѲ =p . If these lines and the line xsinѲ-ycosѲ=0 are concurrent then
Answer» Line ax+by+c=0 makes an angle 45 with xcosѲ+ysinѲ =p . If these lines and the line xsinѲ-ycosѲ=0 are concurrent then

Discussion

3103.	Which one of the following statements is true?(a) The sum of two irrational numbers is always an irrational number(b) The sum of two irrational numbers is always a rational number(c) The sum of two irrational numbers may be a rational number or an irrational number(d) The sum of two irrational numbers is always an integer
Answer» Which one of the following statements is true? (a) The sum of two irrational numbers is always an irrational number (b) The sum of two irrational numbers is always a rational number (c) The sum of two irrational numbers may be a rational number or an irrational number (d) The sum of two irrational numbers is always an integer

Discussion

3104.	Which of the following are NOT polynomials?
Answer» Which of the following are NOT polynomials?

Discussion

3105.	ΔABC and ΔDBC are two isosceles triangles on the same base BC and vertices A and D are on the same side of BC (see the given figure). If AD is extended to intersect BC at P, show that(i) ΔABD ≅ ΔACD(ii) ΔABP ≅ ΔACP(iii) AP bisects ∠A as well as ∠D.(iv) AP is the perpendicular bisector of BC.
Answer» ΔABC and ΔDBC are two isosceles triangles on the same base BC and vertices A and D are on the same side of BC (see the given figure). If AD is extended to intersect BC at P, show that (i) ΔABD ≅ ΔACD (ii) ΔABP ≅ ΔACP (iii) AP bisects ∠A as well as ∠D. (iv) AP is the perpendicular bisector of BC.

3105.

ΔABC and ΔDBC are two isosceles triangles on the same base BC and vertices A and D are on the same side of BC (see the given figure). If AD is extended to intersect BC at P, show that(i) ΔABD ≅ ΔACD(ii) ΔABP ≅ ΔACP(iii) AP bisects ∠A as well as ∠D.(iv) AP is the perpendicular bisector of BC.

Answer»

ΔABC and ΔDBC are two isosceles triangles on the same base BC and vertices A and D are on the same side of BC (see the given figure). If AD is extended to intersect BC at P, show that

(i) ΔABD ≅ ΔACD

(ii) ΔABP ≅ ΔACP

(iii) AP bisects ∠A as well as ∠D.

(iv) AP is the perpendicular bisector of BC.

Discussion

3106.	Find minimum valve of polynomials given below-P(x)=3x^2-5x+2F(x)=x^2-10x+2
Answer» Find minimum valve of polynomials given below- P(x)=3x^2-5x+2 F(x)=x^2-10x+2

Discussion

3107.	Which of the following is/are a measure of central tendency?
Answer» Which of the following is/are a measure of central tendency?

Discussion

3108.	Is it possible to construct a quadrilateral ABCD in which AB = 3 cm, BC = 4 cm, CD = 5.4 cm, DA = 5.9 cm and diagonal AC = 8 cm? If not, why?
Answer» Is it possible to construct a quadrilateral ABCD in which AB = 3 cm, BC = 4 cm, CD = 5.4 cm, DA = 5.9 cm and diagonal AC = 8 cm? If not, why?

Discussion

3109.	25, 34, 31, 23, 22, 26, 35, 29, 20, 32
Answer» 25, 34, 31, 23, 22, 26, 35, 29, 20, 32

Discussion

3110.	The range of probability is
Answer» The range of probability is

Discussion

3111.	The distribution of the heights of 50 children are given. If the mean height for the distribution is 117.8 cm, then find x1−f1.Height110115x1120121125Number of students6814f143 103
Answer» The distribution of the heights of 50 children are given. If the mean height for the distribution is 117.8 cm, then find $x_{1} - f_{1}$ . $\begin{matrix} H e i g h t & 110 & 115 & x_{1} & 120 & 121 & 125 N u m b e r o f s t u d e n t s & 6 & 8 & 14 & f_{1} & 4 & 3 \end{matrix}$ 103

Discussion

3112.	Among the following, the terminating rational number is .
Answer» Among the following, the terminating rational number is .

Discussion

3113.	Question 16The reciprocal of 1 is(a) 1(b) –1(c) 0(d) Not defined
Answer» Question 16 The reciprocal of 1 is (a) 1 (b) –1 (c) 0 (d) Not defined

Discussion

3114.	What should be multiplied with 5x2y3 to get 20x4y5?
Answer» What should be multiplied with 5x²y³ to get 20x⁴y⁵?

Discussion

3115.	O is the centre of the circle. ∠OAB = 20∘, ∠OCB = 55∘. Then∠BOC= and \(\angle)AOC= ___
Answer» O is the centre of the circle. $∠$ OAB = 20 $^{\circ}$ , $∠$ OCB = 55 $^{\circ}$ . Then $∠$ BOC= and \(\angle)AOC= ___

Discussion

3116.	The line segments joining the midpoints M and N of parallel sides AB and DC respectively of a trapezium ABCD is perpendicular to both the sides AB and DC. Prove that AD = BC.
Answer» The line segments joining the midpoints M and N of parallel sides AB and DC respectively of a trapezium ABCD is perpendicular to both the sides AB and DC. Prove that AD = BC.

Discussion

3117.	Points (−4, 0) and (7, 0) lie(a) on x-axis(b) y-axis(c) in first quadrant(d) In second quadrant
Answer» Points (−4, 0) and (7, 0) lie (a) on x-axis (b) y-axis (c) in first quadrant (d) In second quadrant

Discussion

3118.	If logm+logn=log(m+n) find the value of m in terms of n
Answer» If logm+logn=log(m+n) find the value of m in terms of n

Discussion

3119.	A metal pipe is 77 cm long. The inner diameter of a cross-section is 4 cm, the outer diameter being 4.4 cm.Find its,(i) Inner curved surface area(ii) Outer curved surface area(iii) Total surface area. [Assume π=227]
Answer» A metal pipe is 77 cm long. The inner diameter of a cross-section is 4 cm, the outer diameter being 4.4 cm. Find its, (i) Inner curved surface area (ii) Outer curved surface area (iii) Total surface area. $[A s s u m e π = \frac{22}{7}]$

Discussion

3120.	If  and  are the zeroes of the polynomial p(x) = 7x2– 8x + k, such that  –  = 2, then find the value of k.
Answer» If  and  are the zeroes of the polynomial p(x) = 7x 2 – 8x + k, such that  –  = 2, then find the value of k.

Discussion

3121.	The simple interest on certain sum for 3 years is rupees 225 and the compound interest on the sum at the same rate for 2 years is Rs 153 find the rate of interest and principal
Answer» The simple interest on certain sum for 3 years is rupees 225 and the compound interest on the sum at the same rate for 2 years is Rs 153 find the rate of interest and principal

Discussion

3122.	If a parallelogram and a triangle are on the same base and between the same parallels, then the area of the triangle is
Answer» If a parallelogram and a triangle are on the same base and between the same parallels, then the area of the triangle is

Discussion

3123.	Question 29 In the following question, out of the four options, only one is correct. Write the correct answer. For any two non-zero rational numbers x and y,x4÷y4 is equal to: (a) (x÷y)0 (b) (x÷y)1 (c) (x÷y)4 (d) (x÷y)8
Answer» Question 29 In the following question, out of the four options, only one is correct. Write the correct answer. For any two non-zero rational numbers x and $y, x^{4} \div y^{4}$ is equal to: (a) $(x \div y)^{0}$ (b) $(x \div y)^{1}$ (c) $(x \div y)^{4}$ (d) $(x \div y)^{8}$

3123.

Question 29 In the following question, out of the four options, only one is correct. Write the correct answer. For any two non-zero rational numbers x and y,x4÷y4 is equal to: (a) (x÷y)0 (b) (x÷y)1 (c) (x÷y)4 (d) (x÷y)8

Answer»

Question 29

In the following question, out of the four options, only one is correct. Write the correct answer.

For any two non-zero rational numbers x and $y, x^{4} \div y^{4}$ is equal to:

(a) $(x \div y)^{0}$

(b) $(x \div y)^{1}$

(c) $(x \div y)^{4}$

(d) $(x \div y)^{8}$

Discussion

3124.	The distance of the point P (4, 3) from the origin is(a) 4(b) 3(c) 5(d) 7
Answer» The distance of the point P (4, 3) from the origin is (a) 4 (b) 3 (c) 5 (d) 7

Discussion

3125.

Mr. Bhardwaj has kept incomplete records. He submits to you the following information: STATEMENT OF AFFAIRS as at 1st April, 2014 (₹) (₹) Sundry Creditors 18,000 Cash at Bank 7,600 Capital 82,000 Sundry Debtors 42,400 Stock 20,000 Machinery 30,000 1,00,000 1,00,000 Bhardwaj banks all receipts and makes all payments only by means of cheques. Following is the analysis of his bank transactions: ₹ Receipt from Debtors 96,400 Payment to Creditors 62,500 Payment of Freight & Carriage 2,000 Payment of Office Expenses 10,800 Drawings 12,200 Sundry Debtors on 31st March, 2015 were ₹ 36,000 and Sundry Creditors were ₹ 25,000. No information is available regarding stock-in-trade on 31st March, 2015, but it is ascertained that Mr. Bhardwaj takes 20% profit on Sales. Prepare Bhardwaj's Bank A/c, Trading and Profit & Loss A/c and a Balance Sheet as at 31st March, 2015.

Answer» Mr. Bhardwaj has kept incomplete records. He submits to you the following information:

STATEMENT OF AFFAIRS

as at 1st April, 2014
	(₹)		(₹)
Sundry Creditors	18,000	Cash at Bank	7,600
Capital	82,000	Sundry Debtors	42,400
		Stock	20,000
		Machinery	30,000

	1,00,000		1,00,000

Bhardwaj banks all receipts and makes all payments only by means of cheques. Following is the analysis of his bank transactions:

	₹
Receipt from Debtors	96,400
Payment to Creditors	62,500
Payment of Freight & Carriage	2,000
Payment of Office Expenses	10,800
Drawings	12,200

Sundry Debtors on 31st March, 2015 were ₹ 36,000 and Sundry Creditors were ₹ 25,000. No information is available regarding stock-in-trade on 31st March, 2015, but it is ascertained that Mr. Bhardwaj takes 20% profit on Sales. Prepare Bhardwaj's Bank A/c, Trading and Profit & Loss A/c and a Balance Sheet as at 31st March, 2015.

Discussion

3126.	Define Herons formula.
Answer» Define Herons formula.

Discussion

3127.	A graphical representation of a frequency distribution in the form of rectangles with class interval as bases and heights proportional to corresponding frequencies such that there is no gap between any two successive rectangles is called a
Answer» A graphical representation of a frequency distribution in the form of rectangles with class interval as bases and heights proportional to corresponding frequencies such that there is no gap between any two successive rectangles is called a

Discussion

3128.	In triangleABC, side AB is produced to D so that BD = BC. If angle B=60∘ and angle A=70∘ prove that 1.AD>CD 2.AD>AC.
Answer» In triangleABC, side AB is produced to D so that BD = BC. If angle $B = 60^{\circ}$ and angle $A = 70^{\circ}$ prove that 1.AD>CD 2.AD>AC.

Discussion

3129.	Question 2If two equal chords of a circle intersect within the circle, prove that the segments of one chord are equal to corresponding segments of the other chord.
Answer» Question 2 If two equal chords of a circle intersect within the circle, prove that the segments of one chord are equal to corresponding segments of the other chord.

Discussion

3130.	what will be the differentiation of (sinx)^2
Answer» what will be the differentiation of (sinx)^2

Discussion

3131.	Question 13ABCD is a trapezium with AB \|\| DC. A line parallel to AC intersects AB at X and BC at Y. Prove that ar (ADX) = ar (ACY).
Answer» Question 13 ABCD is a trapezium with AB \|\| DC. A line parallel to AC intersects AB at X and BC at Y. Prove that ar (ADX) = ar (ACY).

Discussion

3132.	Among the following, the terminating rational number is .
Answer» Among the following, the terminating rational number is .

Discussion

3133.	A hemispherical bowl is made of steel, 0.25 cm thick. The inner radius of the bowl is 5 cm. Find the outer curved surface area of the bowl.
Answer» A hemispherical bowl is made of steel, 0.25 cm thick. The inner radius of the bowl is 5 cm. Find the outer curved surface area of the bowl.

Discussion

3134.	27. Divide using factor method 9x-24xy+16y/3x-4y
Answer» 27. Divide using factor method 9x-24xy+16y/3x-4y

Discussion

3135.	Find a quadratic polynomial, the sum and product of whose zeroes are -3 and 2 respectively
Answer» Find a quadratic polynomial, the sum and product of whose zeroes are -3 and 2 respectively

Discussion

3136.	In the given figure, ∠B<∠A and ∠C<∠D.Show that AD<BC.
Answer» $In the given figure, ∠ B < ∠ A a n d ∠ C < ∠ D . Show that A D < B C .$

3136.

In the given figure, ∠B<∠A and ∠C<∠D.Show that AD<BC.

Answer»

$In the given figure, ∠ B < ∠ A a n d ∠ C < ∠ D . Show that A D < B C .$

Discussion

3137.	The value of x in mx + ny = c; nx - ny = c + 1 is
Answer» The value of x in mx + ny = c; nx - ny = c + 1 is

Discussion

3138.	angle between r=(i+j)+s(i+j+k) and r=(2i-j)+t( 2i+3j+k)
Answer» angle between r=(i+j)+s(i+j+k) and r=(2i-j)+t( 2i+3j+k)

Discussion

3139.	In the following figure, AB = AC = AD, △ABC ≅ △ACD if ___.
Answer» In the following figure, AB = AC = AD, $△$ ABC $≅$ $△$ ACD if ___.

3139.

In the following figure, AB = AC = AD, △ABC ≅ △ACD if ___.

Answer»

In the following figure, AB = AC = AD, $△$ ABC $≅$ $△$ ACD if ___.

Discussion

3140.	Measure of one angle of a rhombus is 50°. find the measures of remaining three angles.
Answer» Measure of one angle of a rhombus is 50 $°$ . find the measures of remaining three angles.

Discussion

3141.	Find the area of an equilateral triangle having each side 4 cm.
Answer» Find the area of an equilateral triangle having each side 4 cm.

Discussion

3142.	An angle which measures 32∘ is called a/an -
Answer» An angle which measures $32^{\circ}$ is called a/an -

Discussion

3143.	In the given figure, AB is the diameter of the circle with centre O. A chord CD is bisected by the diameter at P. If OA = OB = 15 cm and OP = 9 cm. Find the length of chord AD.
Answer» In the given figure, AB is the diameter of the circle with centre O. A chord CD is bisected by the diameter at P. If OA = OB = 15 cm and OP = 9 cm. Find the length of chord AD.

Discussion

3144.	If two circles intersect at two points, then prove that their centres lie on the perpendicular bisector of the common chord.
Answer» If two circles intersect at two points, then prove that their centres lie on the perpendicular bisector of the common chord.

Discussion

3145.	Draw an angle and label it as ∠BAC. Construct another angle, equal to ∠BAC.
Answer» Draw an angle and label it as ∠BAC. Construct another angle, equal to ∠BAC.

Discussion

3146.	A pipe of cross section area 2 cm2 delivers 1500 litres of water in 5 minutes. The speed of water in m/s is ___
Answer» A pipe of cross section area 2 $c m^{2}$ delivers 1500 litres of water in 5 minutes. The speed of water in m/s is ___

Discussion

3147.	In the given figure, ABC and ABD are two triangles on the same base AB. If line-segment CD is bisected by AB at O, show that ar (ABC) = ar (ABD).
Answer» In the given figure, ABC and ABD are two triangles on the same base AB. If line-segment CD is bisected by AB at O, show that ar (ABC) = ar (ABD).

3147.

In the given figure, ABC and ABD are two triangles on the same base AB. If line-segment CD is bisected by AB at O, show that ar (ABC) = ar (ABD).

Answer»

In the given figure, ABC and ABD are two triangles on the same base AB. If line-segment CD is bisected by AB at O, show that ar (ABC) = ar (ABD).

Discussion

3148.	Which of the following are convex quadrilaterals?
Answer» Which of the following are convex quadrilaterals?

Discussion

3149.	A rational number between 1/2 and-1/2
Answer» A rational number between 1/2 and-1/2

Discussion

3150.	2. Show how 5 under root represented on numbers line
Answer» 2. Show how 5 under root represented on numbers line

Discussion

Explore topic-wise InterviewSolutions in .

In the figure given below, the area of parallelogram ABCD is:

Line ax+by+c=0 makes an angle 45 with xcosѲ+ysinѲ =p . If these lines and the line xsinѲ-ycosѲ=0 are concurrent then

Which of the following are NOT polynomials?

Find minimum valve of polynomials given below-P(x)=3x^2-5x+2F(x)=x^2-10x+2

Which of the following is/are a measure of central tendency?

Is it possible to construct a quadrilateral ABCD in which AB = 3 cm, BC = 4 cm, CD = 5.4 cm, DA = 5.9 cm and diagonal AC = 8 cm? If not, why?

25, 34, 31, 23, 22, 26, 35, 29, 20, 32

The range of probability is

The distribution of the heights of 50 children are given. If the mean height for the distribution is 117.8 cm, then find x1−f1.Height110115x1120121125Number of students6814f143 103

Among the following, the terminating rational number is .

Question 16The reciprocal of 1 is(a) 1(b) –1(c) 0(d) Not defined

What should be multiplied with 5x2y3 to get 20x4y5?

O is the centre of the circle. ∠OAB = 20∘, ∠OCB = 55∘. Then∠BOC= and \(\angle)AOC= ​ ___

The line segments joining the midpoints M and N of parallel sides AB and DC respectively of a trapezium ABCD is perpendicular to both the sides AB and DC. Prove that AD = BC.

Points (−4, 0) and (7, 0) lie(a) on x-axis(b) y-axis(c) in first quadrant(d) In second quadrant

If logm+logn=log(m+n) find the value of m in terms of n

A metal pipe is 77 cm long. The inner diameter of a cross-section is 4 cm, the outer diameter being 4.4 cm.Find its,(i) Inner curved surface area(ii) Outer curved surface area(iii) Total surface area. [Assume π=227]

If  and  are the zeroes of the polynomial p(x) = 7x2– 8x + k, such that  –  = 2, then find the value of k.

The simple interest on certain sum for 3 years is rupees 225 and the compound interest on the sum at the same rate for 2 years is Rs 153 find the rate of interest and principal

If a parallelogram and a triangle are on the same base and between the same parallels, then the area of the triangle is

Question 29 In the following question, out of the four options, only one is correct. Write the correct answer. For any two non-zero rational numbers x and y,x4÷y4 is equal to: (a) (x÷y)0 (b) (x÷y)1 (c) (x÷y)4 (d) (x÷y)8

The distance of the point P (4, 3) from the origin is(a) 4(b) 3(c) 5(d) 7

Define Herons formula.

A graphical representation of a frequency distribution in the form of rectangles with class interval as bases and heights proportional to corresponding frequencies such that there is no gap between any two successive rectangles is called a

In triangleABC, side AB is produced to D so that BD = BC. If angle B=60∘ and angle A=70∘ prove that 1.AD>CD 2.AD>AC.

Question 2If two equal chords of a circle intersect within the circle, prove that the segments of one chord are equal to corresponding segments of the other chord.

what will be the differentiation of (sinx)^2

Question 13ABCD is a trapezium with AB || DC. A line parallel to AC intersects AB at X and BC at Y. Prove that ar (ADX) = ar (ACY).

Among the following, the terminating rational number is .

A hemispherical bowl is made of steel, 0.25 cm thick. The inner radius of the bowl is 5 cm. Find the outer curved surface area of the bowl.

27. Divide using factor method 9x-24xy+16y/3x-4y

Find a quadratic polynomial, the sum and product of whose zeroes are -3 and 2 respectively

In the given figure, ∠B&lt;∠A and ∠C&lt;∠D.Show that AD&lt;BC.

The value of x in mx + ny = c; nx - ny = c + 1 is

angle between r=(i+j)+s(i+j+k) and r=(2i-j)+t( 2i+3j+k)

In the following figure, AB = AC = AD, △ABC ≅ △ACD if ___.

Measure of one angle of a rhombus is 50°. find the measures of remaining three angles.

Find the area of an equilateral triangle having each side 4 cm.

An angle which measures 32∘ is called a/an -

In the given figure, AB is the diameter of the circle with centre O. A chord CD is bisected by the diameter at P. If OA = OB = 15 cm and OP = 9 cm. Find the length of chord AD.

If two circles intersect at two points, then prove that their centres lie on the perpendicular bisector of the common chord.

Draw an angle and label it as ∠BAC. Construct another angle, equal to ∠BAC.

A pipe of cross section area 2 cm2 delivers 1500 litres of water in 5 minutes. The speed of water in m/s is ___

In the given figure, ABC and ABD are two triangles on the same base AB. If line-segment CD is bisected by AB at O, show that ar (ABC) = ar (ABD).

Which of the following are convex quadrilaterals?

A rational number between 1/2 and-1/2

2. Show how 5 under root represented on numbers line

O is the centre of the circle. ∠OAB = 20∘, ∠OCB = 55∘. Then∠BOC= and \(\angle)AOC= ___

In the given figure, ∠B<∠A and ∠C<∠D.Show that AD<BC.