24740 + Interview Questions in Mathematics Page 210 InterviewSolution

10451.	In the following figure, ABCD, DCFE and ABFE are parallelograms. Show that ar (ADE) = ar (BCF).
Answer» In the following figure, ABCD, DCFE and ABFE are parallelograms. Show that ar (ADE) = ar (BCF).

10451.

In the following figure, ABCD, DCFE and ABFE are parallelograms. Show that ar (ADE) = ar (BCF).

Answer»

In the following figure, ABCD, DCFE and ABFE are parallelograms. Show that ar (ADE) = ar (BCF).

Discussion

10452.	a^1/3 + b^1/3 + c^1/3 =0 then (a+b+ c)^2 Given answer is 27abc
Answer» a^1/3 + b^1/3 + c^1/3 =0 then (a+b+ c)^2 Given answer is 27abc

10452.

a^1/3 + b^1/3 + c^1/3 =0 then (a+b+ c)^2 Given answer is 27abc

Answer»

a^1/3 + b^1/3 + c^1/3 =0 then (a+b+ c)^2

Given answer is 27abc

Discussion

10453.	Prepare Bank Reconciliation Statement from the following particulars on June 30, 2016:Bank Statement showed a favourable balance of ₹ 9,214.(a) On 29th June, the bank credited the sum of ₹ 1,650 in error.(b) Certain cheques, valued at ₹ 4,500 issued before June 30, were not cleared.(c) A hire purchase payment of ₹ 950, made by a standing order was not entered in the cash book.(d) A cheque of ₹ 600 received, deposited and credited by bank, was accounted as a receipt in the cash column of the cash book.(e) Other cheques for ₹ 8,500 were deposited in June but cheques for ₹ 6,000 only were cleared by the bankers.
Answer» Prepare Bank Reconciliation Statement from the following particulars on June 30, 2016: Bank Statement showed a favourable balance of ₹ 9,214. (a) On 29th June, the bank credited the sum of ₹ 1,650 in error. (b) Certain cheques, valued at ₹ 4,500 issued before June 30, were not cleared. (c) A hire purchase payment of ₹ 950, made by a standing order was not entered in the cash book. (d) A cheque of ₹ 600 received, deposited and credited by bank, was accounted as a receipt in the cash column of the cash book. (e) Other cheques for ₹ 8,500 were deposited in June but cheques for ₹ 6,000 only were cleared by the bankers.

Discussion

10454.	For a cube of side 'a' and a cuboid of length 'l', breadth 'b' and height 'h', match the following.
Answer» For a cube of side 'a' and a cuboid of length 'l', breadth 'b' and height 'h', match the following.

Discussion

10455.	Find the value of x in the following proportion.14:x=7:9
Answer» Find the value of $x$ in the following proportion. $14 : x = 7 : 9$

Discussion

10456.	If each side of a triangle is doubled, the find percentage increase in its area.
Answer» If each side of a triangle is doubled, the find percentage increase in its area.

Discussion

10457.	Household income of 31 houses has been given in the table.Calculate the median income.Monthly income (Rs)No. of households400003500007600008700005800005900003
Answer» Household income of 31 houses has been given in the table. Calculate the median income. $\begin{matrix} Monthly income (Rs) & No. of households 40000 & 3 50000 & 7 60000 & 8 70000 & 5 80000 & 5 90000 & 3 \end{matrix}$

10457.

Household income of 31 houses has been given in the table.Calculate the median income.Monthly income (Rs)No. of households400003500007600008700005800005900003

Answer»

Household income of 31 houses has been given in the table.

Calculate the median income.

$\begin{matrix} Monthly income (Rs) & No. of households 40000 & 3 50000 & 7 60000 & 8 70000 & 5 80000 & 5 90000 & 3 \end{matrix}$

Discussion

10458.	Sides AB and AC and median AD of a triangle ABC are respectively proportional to sides PQ and PR and median PM of another triangle PQR. Show that ΔABC∼ΔPQR.
Answer» Sides AB and AC and median AD of a triangle ABC are respectively proportional to sides PQ and PR and median PM of another triangle PQR. Show that $Δ A B C \sim Δ P Q R$ .

Discussion

10459.	A man 2 m tall, standing on top of a 25 m building observe the angle of depression of the top and bottom of the next building to be 30∘ and 60∘ respectively. The height of the next building is ____ m.
Answer» A man 2 m tall, standing on top of a 25 m building observe the angle of depression of the top and bottom of the next building to be $30^{\circ}$ and $60^{\circ}$ respectively. The height of the next building is ____ m.

Discussion

10460.	For a cube of side 'a' and a cuboid of length 'l', breadth 'b' and height 'h', match the following.
Answer» For a cube of side 'a' and a cuboid of length 'l', breadth 'b' and height 'h', match the following.

Discussion

10461.	How many cubic centimetres of iron is required to construct an open box whose external dimensions are 36 cm, 25 cm and 16.5 cm provided the thickness of the iron is 1.5 cm. If one cubic cm of iron weighs 7.5 g, find the weight of the box.
Answer» How many cubic centimetres of iron is required to construct an open box whose external dimensions are 36 cm, 25 cm and 16.5 cm provided the thickness of the iron is 1.5 cm. If one cubic cm of iron weighs 7.5 g, find the weight of the box.

Discussion

10462.	23. Is it mandatory that we can only take x and y as variables (I'm asking about linear equation in two variables) ? Can't we take p, q or any other alphabet as a variable? If we can take any alphabet as variables the what is about the ordered pair in which we write value of variable x first the y?
Answer» 23. Is it mandatory that we can only take x and y as variables (I'm asking about linear equation in two variables) ? Can't we take p, q or any other alphabet as a variable? If we can take any alphabet as variables the what is about the ordered pair in which we write value of variable x first the y?

Discussion

10463.

Find the value of p, when the mean of the following distribution is 20. x 15 17 19 20 + p 23 f 2 3 4 5p 6

Answer» Find the value of p, when the mean of the following distribution is 20.

x	15	17	19	20 + p	23
f	2	3	4	5p	6

Discussion

10464.	Let the vectors (2+a+b)^i+(a+2b+c)^j−(b+c)^k, (1+b)^i+2b^j−b^k and (2+b)^i+2b^j+(1−b)^k, a,b,c ∈Rbe co-planar. Then which of the following is true ?
Answer» Let the vectors $(2 + a + b)^i + (a + 2 b + c)^j - (b + c)^k,$ $(1 + b)^i + 2 b^j - b^k$ and $(2 + b)^i + 2 b^j + (1 - b)^k,$ $a, b, c \in R$ be co-planar. Then which of the following is true ?

Discussion

10465.	What is the decimal form of 150?
Answer» What is the decimal form of $\frac{1}{50}$ ?

Discussion

10466.	5.Three lots contain respectively 4%,5% & 10% defective articles. One article is chosen at random from each lot. Find the probability of getting (a) exactly one defective (b) at least one defective article among the three articles drawn?
Answer» 5.Three lots contain respectively 4%,5% & 10% defective articles. One article is chosen at random from each lot. Find the probability of getting (a) exactly one defective (b) at least one defective article among the three articles drawn?

Discussion

10467.	Perimeter of a rhombus is 45 cm if the height is 8 cm find the area
Answer» Perimeter of a rhombus is 45 cm if the height is 8 cm find the area

Discussion

10468.	p2 + q2 = 400. Find p + q if both are natural numbers. Ans.____________.
Answer» $p^{2} + q^{2} = 400. F i n d p + q i f b o t h a r e n a t u r a l n u m b e r s . A n s .$ ____________.

Discussion

10469.	Check graphically whether the pair of equations 3x – 2y + 2 = 0 and 32x – y + 3 = 0 is consistent. Also find the coordinates of the points where the graphs of the equations meet the Y-axis.
Answer» Check graphically whether the pair of equations 3x – 2y + 2 = 0 and 32x – y + 3 = 0 is consistent. Also find the coordinates of the points where the graphs of the equations meet the Y-axis.

Discussion

10470.	In a parallelogram ABCD, if ∠A = (3x − 20)°, ∠B = (y + 15)°, ∠C = (x + 40)°, then find the values of x and y.
Answer» In a parallelogram ABCD, if ∠A = (3x − 20)°, ∠B = (y + 15)°, ∠C = (x + 40)°, then find the values of x and y.

Discussion

10471.	Find the angle whose supplement is four times its complement.
Answer» Find the angle whose supplement is four times its complement.

Discussion

10472.	is a terminating decimal.
Answer» is a terminating decimal.

Discussion

10473.	In the given figure, AB \|\| CD. Find the measure of x, y and z.
Answer» In the given figure, AB \|\| CD. Find the measure of x, y and z.

10473.

In the given figure, AB || CD. Find the measure of x, y and z.

Answer»

In the given figure, AB || CD. Find the measure of x, y and z.

Discussion

10474.	Question 1Two circles of radii 5 cm and 3 cm intersect at two points and the distance between their centres is 4 cm. Find the length of the common chord.
Answer» Question 1 Two circles of radii 5 cm and 3 cm intersect at two points and the distance between their centres is 4 cm. Find the length of the common chord.

Discussion

10475.	Changez ces questions au négatif.1. Est-ce que tu préfères manger les croissants?2. Avez-vous de l'argent?3. Les enfants, viennent-ils aujourd'hui?4. Est-ce qu'elle veut des tartes aux prunes?5. Te lèves-tu tôt le matin?
Answer» Changez ces questions au négatif. 1. Est-ce que tu préfères manger les croissants? 2. Avez-vous de l'argent? 3. Les enfants, viennent-ils aujourd'hui? 4. Est-ce qu'elle veut des tartes aux prunes? 5. Te lèves-tu tôt le matin?

Discussion

10476.	Question 10If sinα=12 and cosβ=12, then the value of (α+β) is(A) 0∘(B) 30∘(C) 60∘(D) 90∘
Answer» Question 10 If $s i n α = \frac{1}{2}$ and $c o s β = \frac{1}{2}$ , then the value of $(α + β)$ is (A) $0^{\circ}$ (B) $30^{\circ}$ (C) $60^{\circ}$ (D) $90^{\circ}$

Discussion

10477.	The mean of a set of seven numbers is 81. If one of the numbers is discarded, the mean of the remaining numbers is 78. The value of discarded number is(a) 98(b) 99(c) 100(d) 101
Answer» The mean of a set of seven numbers is 81. If one of the numbers is discarded, the mean of the remaining numbers is 78. The value of discarded number is (a) 98 (b) 99 (c) 100 (d) 101

Discussion

10478.	If AD⊥BC, prove that AB2+CD2=BD2+AC2. [2 MARKS]
Answer» If $A D ⊥ B C$ , prove that ${A B}^{2} + {C D}^{2} = {B D}^{2} + {A C}^{2}$ . [2 MARKS]

10478.

If AD⊥BC, prove that AB2+CD2=BD2+AC2. [2 MARKS]

Answer»

If $A D ⊥ B C$ , prove that ${A B}^{2} + {C D}^{2} = {B D}^{2} + {A C}^{2}$ . [2 MARKS]

Discussion

10479.	The inner diameter of a cylindrical wooden pipe is 24 cm and its outer diameter is 28 cm. The length of the pipe is 35 cm. Find the mass of the pipe, if 1 cm3 of wood has a mass of 0.6 g.
Answer» The inner diameter of a cylindrical wooden pipe is 24 cm and its outer diameter is 28 cm. The length of the pipe is 35 cm. Find the mass of the pipe, if 1 cm³of wood has a mass of 0.6 g.

Discussion

10480.	45. If the length of sides of a right angled Δ triangle are in A.P., then find their ratios
Answer» 45. If the length of sides of a right angled Δ triangle are in A.P., then find their ratios

Discussion

10481.	Hii ..... I don't understand maths problem...how to solve the sums
Answer» Hii ..... I don't understand maths problem...how to solve the sums

10481.

Hii ..... I don't understand maths problem...how to solve the sums

Answer»

Hii .....

I don't understand maths problem...how to solve the sums

Discussion

10482.	In the rectangle ABCD, O is any point inside the rectangle. If area(△AOD) = 30 cm2 and area(△BOC) = 60 cm2, Find the area of the rectangle ABCD. [2 MARKS]
Answer» In the rectangle ABCD, O is any point inside the rectangle. If area( $△$ AOD) = 30 $c m^{2}$ and area( $△$ BOC) = 60 $c m^{2}$ , Find the area of the rectangle ABCD. [2 MARKS]

Discussion

10483.	The angles of a quadrilateral are x∘,(x−10)∘,(x+30)∘ and (2x)∘. Find the value of the greatest angle.
Answer» The angles of a quadrilateral are $x^{\circ}, (x - 10)^{\circ}, (x + 30)^{\circ}$ and $(2 x)^{\circ}$ . Find the value of the greatest angle.

Discussion

10484.	Question 5In the figure, if parallelogram ABCD and rectangle ABEM are of equal area, then?A) Perimeter of ABCD = Perimeter of ABEMB) Perimeter of ABCD < Perimeter of ABEMC) Perimeter of ABCD > Perimeter of ABEMD) Perimeter of ABCD = 12(Perimeter of ABEM)
Answer» Question 5 In the figure, if parallelogram ABCD and rectangle ABEM are of equal area, then? A) Perimeter of ABCD = Perimeter of ABEM B) Perimeter of ABCD < Perimeter of ABEM C) Perimeter of ABCD > Perimeter of ABEM D) Perimeter of ABCD = $\frac{1}{2}$ (Perimeter of ABEM)

Discussion

10485.	Factorise:(x2+4y2−9z2)2−16x2y2
Answer» Factorise: $(x^{2} + 4 y^{2} - 9 z^{2})^{2} - 16 x^{2} y^{2}$

Discussion

10486.	x3 + 6x2 + 12x + 16
Answer» x³ + 6x² + 12x + 16

Discussion

10487.	The equation of the straight line passing through (a, b, c) and (a – b. b – c, c – a) are _______________ .
Answer» The equation of the straight line passing through (a, b, c) and (a – b. b – c, c – a) are _______________ .

Discussion

10488.	In triangle ABC, a(b2+c2)cosA+b(c2+a2)cosB+c(a2+b2)cosC=
Answer» In triangle $A B C$ , $a (b^{2} + c^{2}) cos A + b (c^{2} + a^{2}) cos B + c (a^{2} + b^{2}) cos C =$

Discussion

10489.	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 ABC 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 ABC 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 .........

Discussion

10490.	In the given figure, state which lines are parallel and why.
Answer» In the given figure, state which lines are parallel and why.

Discussion

10491.	For a cube of side 'a' and a cuboid of length 'l', breadth 'b' and height 'h', match the following.
Answer» For a cube of side 'a' and a cuboid of length 'l', breadth 'b' and height 'h', match the following.

Discussion

10492.	From the given statistics which company's taps should you buy to avoid more leakages?
Answer» From the given statistics which company's taps should you buy to avoid more leakages?

10492.

From the given statistics which company's taps should you buy to avoid more leakages?

Answer»

From the given statistics which company's taps should you buy to avoid more leakages?

Discussion

10493.	In a class, the teacher asks the students to name few scientists. Following were the names that came - Einstein, Newton, Einstein, Faraday, Tesla, Hawking, Einstein, Tesla, Tesla, Faraday, Einstein. Who among the given scientists is the most popular among the students of that class?
Answer» In a class, the teacher asks the students to name few scientists. Following were the names that came - Einstein, Newton, Einstein, Faraday, Tesla, Hawking, Einstein, Tesla, Tesla, Faraday, Einstein. Who among the given scientists is the most popular among the students of that class?

Discussion

10494.	The length of the side of a square-shaped farm whose perimeter is 120ab km is
Answer» The length of the side of a square-shaped farm whose perimeter is 120ab km is

Discussion

10495.	The figure obtained by joining the mid-points of the sides of a rectangle of sides a cm and b cm is a __ of area ab cm2
Answer» The figure obtained by joining the mid-points of the sides of a rectangle of sides a cm and b cm is a __ of area ab $c m^{2}$

Discussion

10496.	If the volume of the cube is 512, the length of the sides of the cube is:
Answer» If the volume of the cube is 512, the length of the sides of the cube is:

Discussion

10497.	If the lateral surface of a cylinder is 94.2 cm2 and its height is 5 cm, find:(i) radius of its base(ii) volume of the cylinder[Use π = 3.14]
Answer» If the lateral surface of a cylinder is 94.2 cm² and its height is 5 cm, find: (i) radius of its base (ii) volume of the cylinder [Use $π$ = 3.14]

Discussion

10498.	If sinθ+cosθ=12, then 16(sin(2θ)+cos(4θ)+sin(6θ)) is equal to
Answer» If $sin θ + cos θ = \frac{1}{2}$ , then $16 (sin (2 θ) + cos (4 θ) + sin (6 θ))$ is equal to

Discussion

10499.	If ΔPQR ≅ ΔEFD, then ∠E =(a) ∠P(b) ∠Q(c) ∠R(d) None of these
Answer» If ΔPQR $≅$ ΔEFD, then ∠E = (a) ∠P (b) ∠Q (c) ∠R (d) None of these

Discussion

10500.	What is the base perimeter of a rectangular prism which is formed by joining two identical right triangular prisms? It is given that each right triangle has a height of 2 m and base 4 m.
Answer» What is the base perimeter of a rectangular prism which is formed by joining two identical right triangular prisms? It is given that each right triangle has a height of 2 m and base 4 m.

Discussion

Explore topic-wise InterviewSolutions in .

In the following figure, ABCD, DCFE and ABFE are parallelograms. Show that ar (ADE) = ar (BCF).

a^1/3 + b^1/3 + c^1/3 =0 then (a+b+ c)^2 Given answer is 27abc

For a cube of side 'a' and a cuboid of length 'l', breadth 'b' and height 'h', match the following.

Find the value of x in the following proportion.14:x=7:9

If each side of a triangle is doubled, the find percentage increase in its area.

Household income of 31 houses has been given in the table.Calculate the median income.Monthly income (Rs)No. of households400003500007600008700005800005900003

Sides AB and AC and median AD of a triangle ABC are respectively proportional to sides PQ and PR and median PM of another triangle PQR. Show that ΔABC∼ΔPQR.

A man 2 m tall, standing on top of a 25 m building observe the angle of depression of the top and bottom of the next building to be 30∘ and 60∘ respectively. The height of the next building is ____ m.

For a cube of side 'a' and a cuboid of length 'l', breadth 'b' and height 'h', match the following.

How many cubic centimetres of iron is required to construct an open box whose external dimensions are 36 cm, 25 cm and 16.5 cm provided the thickness of the iron is 1.5 cm. If one cubic cm of iron weighs 7.5 g, find the weight of the box.

23. Is it mandatory that we can only take x and y as variables (I'm asking about linear equation in two variables) ? Can't we take p, q or any other alphabet as a variable? If we can take any alphabet as variables the what is about the ordered pair in which we write value of variable x first the y?

Find the value of p, when the mean of the following distribution is 20. x 15 17 19 20 + p 23 f 2 3 4 5p 6

Let the vectors (2+a+b)^i+(a+2b+c)^j−(b+c)^k, (1+b)^i+2b^j−b^k and (2+b)^i+2b^j+(1−b)^k, a,b,c ∈Rbe co-planar. Then which of the following is true ?

What is the decimal form of 150?

5.Three lots contain respectively 4%,5% & 10% defective articles. One article is chosen at random from each lot. Find the probability of getting (a) exactly one defective (b) at least one defective article among the three articles drawn?

Perimeter of a rhombus is 45 cm if the height is 8 cm find the area

p2 + q2 = 400. Find p + q if both are natural numbers. Ans.­­­____________.

Check graphically whether the pair of equations 3x – 2y + 2 = 0 and 32x – y + 3 = 0 is consistent. Also find the coordinates of the points where the graphs of the equations meet the Y-axis.

In a parallelogram ABCD, if ∠A = (3x − 20)°, ∠B = (y + 15)°, ∠C = (x + 40)°, then find the values of x and y.

Find the angle whose supplement is four times its complement.

is a terminating decimal.

In the given figure, AB || CD. Find the measure of x, y and z.

Question 1Two circles of radii 5 cm and 3 cm intersect at two points and the distance between their centres is 4 cm. Find the length of the common chord.

Changez ces questions au négatif.1. Est-ce que tu préfères manger les croissants?2. Avez-vous de l'argent?3. Les enfants, viennent-ils aujourd'hui?4. Est-ce qu'elle veut des tartes aux prunes?5. Te lèves-tu tôt le matin?

Question 10If sinα=12 and cosβ=12, then the value of (α+β) is(A) 0∘(B) 30∘(C) 60∘(D) 90∘

The mean of a set of seven numbers is 81. If one of the numbers is discarded, the mean of the remaining numbers is 78. The value of discarded number is(a) 98(b) 99(c) 100(d) 101

If AD⊥BC, prove that AB2+CD2=BD2+AC2. [2 MARKS]

The inner diameter of a cylindrical wooden pipe is 24 cm and its outer diameter is 28 cm. The length of the pipe is 35 cm. Find the mass of the pipe, if 1 cm3 of wood has a mass of 0.6 g.

45. If the length of sides of a right angled Δ triangle are in A.P., then find their ratios

Hii ..... I don't understand maths problem...how to solve the sums

In the rectangle ABCD, O is any point inside the rectangle. If area(△AOD) = 30 cm2 and area(△BOC) = 60 cm2, Find the area of the rectangle ABCD. [2 MARKS]

The angles of a quadrilateral are x∘,(x−10)∘,(x+30)∘ and (2x)∘. Find the value of the greatest angle.

Question 5In the figure, if parallelogram ABCD and rectangle ABEM are of equal area, then?A) Perimeter of ABCD = Perimeter of ABEMB) Perimeter of ABCD &lt; Perimeter of ABEMC) Perimeter of ABCD &gt; Perimeter of ABEMD) Perimeter of ABCD = 12(Perimeter of ABEM)

Factorise:(x2+4y2−9z2)2−16x2y2

x3 + 6x2 + 12x + 16

The equation of the straight line passing through (a, b, c) and (a – b. b – c, c – a) are _______________ .

In triangle ABC, a(b2+c2)cosA+b(c2+a2)cosB+c(a2+b2)cosC=

In the given figure, state which lines are parallel and why.

For a cube of side 'a' and a cuboid of length 'l', breadth 'b' and height 'h', match the following.

From the given statistics which company's taps should you buy to avoid more leakages?

In a class, the teacher asks the students to name few scientists. Following were the names that came - Einstein, Newton, Einstein, Faraday, Tesla, Hawking, Einstein, Tesla, Tesla, Faraday, Einstein. Who among the given scientists is the most popular among the students of that class?

The length of the side of a square-shaped farm whose perimeter is 120ab km is

The figure obtained by joining the mid-points of the sides of a rectangle of sides a cm and b cm is a __ of area ab cm2

If the volume of the cube is 512, the length of the sides of the cube is:

If the lateral surface of a cylinder is 94.2 cm2 and its height is 5 cm, find:(i) radius of its base(ii) volume of the cylinder[Use π = 3.14]

If sinθ+cosθ=12, then 16(sin(2θ)+cos(4θ)+sin(6θ)) is equal to

If ΔPQR ≅ ΔEFD, then ∠E =(a) ∠P(b) ∠Q(c) ∠R(d) None of these

What is the base perimeter of a rectangular prism which is formed by joining two identical right triangular prisms? It is given that each right triangle has a height of 2 m and base 4 m.

p2 + q2 = 400. Find p + q if both are natural numbers. Ans.____________.

Question 5In the figure, if parallelogram ABCD and rectangle ABEM are of equal area, then?A) Perimeter of ABCD = Perimeter of ABEMB) Perimeter of ABCD < Perimeter of ABEMC) Perimeter of ABCD > Perimeter of ABEMD) Perimeter of ABCD = 12(Perimeter of ABEM)