24740 + Interview Questions in Mathematics Page 146 InterviewSolution

7251.	2. The area of the cylinder is 154sqcm and its height is 15cm then find the volume of cylinder
Answer» 2. The area of the cylinder is 154sqcm and its height is 15cm then find the volume of cylinder

Discussion

7252.	In an equilateral triangle, three times the square of one side is equal to four times the square of one of its altitudes.
Answer» In an equilateral triangle, three times the square of one side is equal to four times the square of one of its altitudes.

Discussion

7253.	Question 78 Fill in the blanks to make the statements true. The measure of ___ angle of a concave quadrilateral is more than 180∘.
Answer» Question 78 Fill in the blanks to make the statements true. The measure of ___ angle of a concave quadrilateral is more than $180^{\circ}$ .

Discussion

7254.	Can anyone explain this question give the equation of a line passing through the point (3,5)
Answer» Can anyone explain this question give the equation of a line passing through the point (3,5)

Discussion

7255.	The remainders obtained when x3 + x2 – 9x – 9 is divided by x, x + 1 and x + 2 respectively are _________.
Answer» The remainders obtained when x³ + x² – 9x – 9 is divided by x, x + 1 and x + 2 respectively are _________.

Discussion

7256.	A spherical ball of lead 3 cm in diameter is melted and recast into three spherical balls. If the diameters of two balls be 32 cm and 2 cm, find the diameter of the third ball.
Answer» A spherical ball of lead 3 cm in diameter is melted and recast into three spherical balls. If the diameters of two balls be $\frac{3}{2}$ cm and 2 cm, find the diameter of the third ball.

Discussion

7257.	A chord AB of a circle whose center is O, is bisected at E by a diameter CD. OC=OD=15 cm and OE=9 cm. Find the length of BC.
Answer» A chord $A B$ of a circle whose center is $O,$ is bisected at $E$ by a diameter $C D .$ $O C = O D = 15 c m$ and $O E = 9 c m .$ Find the length of $B C .$

Discussion

7258.	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

7259.	7. A metal pipe is 77 m long. The inner diameter of a cross section is 4 cm, the outer diameter being 4.4 cm. Find its- 1. Inner curved surface area 2. Outer curved surface area. 3. Total surface area.
Answer» 7. A metal pipe is 77 m long. The inner diameter of a cross section is 4 cm, the outer diameter being 4.4 cm. Find its- 1. Inner curved surface area 2. Outer curved surface area. 3. Total surface area.

Discussion

7260.	Fill in the blanks in each of the following to make the statement true:(i) If two parallel lines are intersected by a transversal, then each pair of corresponding angles are ...(ii) If two parallel lines are intersected by a transversal, then interior angles on the same side of the transversal are ....(iii) Two lines perpendicular to the same line are ... to each other.(iv) Two lines parallel to the same line are ... to each other.(v) If a transversal intersects a pair of lines in such away that a pair of alternate angles are equal, then the lines are ...(vi) If a transversal intersects a pair of lines in such away that the sum of interior angles on the same side of transversal is 180°, then the lines are ...
Answer» Fill in the blanks in each of the following to make the statement true: (i) If two parallel lines are intersected by a transversal, then each pair of corresponding angles are ... (ii) If two parallel lines are intersected by a transversal, then interior angles on the same side of the transversal are .... (iii) Two lines perpendicular to the same line are ... to each other. (iv) Two lines parallel to the same line are ... to each other. (v) If a transversal intersects a pair of lines in such away that a pair of alternate angles are equal, then the lines are ... (vi) If a transversal intersects a pair of lines in such away that the sum of interior angles on the same side of transversal is 180°, then the lines are ...

Discussion

7261.	Question 31If two adjacent angles of a parallelogram are in the ratio 2 : 3, then the measures of the angles area) 72∘,108∘b) 36∘,54∘c) 80∘,120∘d) 96∘,144∘
Answer» Question 31 If two adjacent angles of a parallelogram are in the ratio 2 : 3, then the measures of the angles are a) $72^{\circ}, 108^{\circ}$ b) $36^{\circ}, 54^{\circ}$ c) $80^{\circ}, 120^{\circ}$ d) $96^{\circ}, 144^{\circ}$

Discussion

7262.	Question 93State whether the statements are True or False.All squares are rectangles.
Answer» Question 93 State whether the statements are True or False. All squares are rectangles.

Discussion

7263.	Prove that the diagonals of a rhombus are perpendicular bisectors of each other.
Answer» Prove that the diagonals of a rhombus are perpendicular bisectors of each other.

Discussion

7264.	Saritaben, Ayesha and Meenakshi started a business by investing 2400, 5200 and 3400 rupees. They made a profit of 50%. How should they share it? If they reinvest all their profit by adding it to the capital, what will each one’s share be in the following year?
Answer» Saritaben, Ayesha and Meenakshi started a business by investing 2400, 5200 and 3400 rupees. They made a profit of 50%. How should they share it? If they reinvest all their profit by adding it to the capital, what will each one’s share be in the following year?

Discussion

7265.	O is any point on the bisector of the acute angle ∠XYZ. From O, a line is extended to join XY such that OP is parallel to ZY. Then, △YPO is:
Answer» O is any point on the bisector of the acute angle $∠$ XYZ. From O, a line is extended to join XY such that OP is parallel to ZY. Then, $△$ YPO is:

7265.

O is any point on the bisector of the acute angle ∠XYZ. From O, a line is extended to join XY such that OP is parallel to ZY. Then, △YPO is:

Answer»

O is any point on the bisector of the acute angle $∠$ XYZ. From O, a line is extended to join XY such that OP is parallel to ZY. Then, $△$ YPO is:

Discussion

7266.	if(\sqrt[3]4+\sqrt[3]2-2)(\sqrt[3]4a+\sqrt[3]2b+c) =20 then which of the following is true? 1) a+b-c=10 2) a-b+c=10 3) a+b=2c 4) a+b+c=16
Answer» if(\sqrt[3]4+\sqrt[3]2-2)(\sqrt[3]4a+\sqrt[3]2b+c) =20 then which of the following is true? 1) a+b-c=10 2) a-b+c=10 3) a+b=2c 4) a+b+c=16

Discussion

7267.	The volume of a sphere of radius 2r is (a) 32πr33 (b) 16πr33 (c) 8πr33 (d) 64πr33
Answer» $The volume of a sphere of radius 2r is$ $(a) \frac{32 π r^{3}}{3}$ $(b) \frac{16 π r^{3}}{3}$ $(c) \frac{8 π r^{3}}{3}$ $(d) \frac{64 π r^{3}}{3}$

7267.

The volume of a sphere of radius 2r is (a) 32πr33 (b) 16πr33 (c) 8πr33 (d) 64πr33

Answer»

$The volume of a sphere of radius 2r is$

$(a) \frac{32 π r^{3}}{3}$

$(b) \frac{16 π r^{3}}{3}$

$(c) \frac{8 π r^{3}}{3}$

$(d) \frac{64 π r^{3}}{3}$

Discussion

7268.	Give an example of 2 rational number whose sum and difference is rational number
Answer» Give an example of 2 rational number whose sum and difference is rational number

Discussion

7269.	Question 10In given figure PQR is a right triangle, right angled at Q and QS ⊥ PR. If PQ = 6cm and PS = 4cm, then find QS, RS and QR.
Answer» Question 10 In given figure PQR is a right triangle, right angled at Q and QS $⊥$ PR. If PQ = 6cm and PS = 4cm, then find QS, RS and QR.

Discussion

7270.	A T-beam roof section has the following particulars :Thickness of slab : 120 mmWidth of rib : 300 mmDepth of beam : 450 mmClear distance of beams : 7.0 mDistance between points of contra flexure : 4.0 mThe effective width of flange of beam (in mm) is 1686.67
Answer» A T-beam roof section has the following particulars : Thickness of slab : 120 mm Width of rib : 300 mm Depth of beam : 450 mm Clear distance of beams : 7.0 m Distance between points of contra flexure : 4.0 m The effective width of flange of beam (in mm) is 1686.67

Discussion

7271.	Find the area to be painted in the following block with a cylindrical hole. Given that length is 15cm, width 12cm, height 20cm and radius of the hole 2.8cm.
Answer» Find the area to be painted in the following block with a cylindrical hole. Given that length is 15cm, width 12cm, height 20cm and radius of the hole 2.8cm.

Discussion

7272.	An aircraft has 120 passenger seats. The number of seats occupied during 100 flights is given in the following table. Number of seats100−104104−108108−112112−116116−120Frequency1520321815 Determine the mean number of seats occupied over the flights.
Answer» An aircraft has 120 passenger seats. The number of seats occupied during 100 flights is given in the following table. $\begin{matrix} Number of seats & 100 - 104 & 104 - 108 & 108 - 112 & 112 - 116 & 116 - 120 Frequency & 15 & 20 & 32 & 18 & 15 \end{matrix}$ Determine the mean number of seats occupied over the flights.

Discussion

7273.	The triangular side walls of a flyover have been used for advertisements. The sides of the walls are 122m, 22m, and 120m (see the given figure). The advertisements yield an earning of Rs 5000 per m2 per year. A company hired one of its walls for 3 months. How much rent did it pay?
Answer» The triangular side walls of a flyover have been used for advertisements. The sides of the walls are 122m, 22m, and 120m (see the given figure). The advertisements yield an earning of Rs 5000 per m² per year. A company hired one of its walls for 3 months. How much rent did it pay?

7273.

The triangular side walls of a flyover have been used for advertisements. The sides of the walls are 122m, 22m, and 120m (see the given figure). The advertisements yield an earning of Rs 5000 per m2 per year. A company hired one of its walls for 3 months. How much rent did it pay?

Answer»

The triangular side walls of a flyover have been used for advertisements. The sides of the walls are 122m, 22m, and 120m (see the given figure). The advertisements yield an earning of Rs 5000 per m² per year. A company hired one of its walls for 3 months. How much rent did it pay?

Discussion

7274.	What are the mid-points of the class-intervals called?
Answer» What are the mid-points of the class-intervals called?

Discussion

7275.	Let →a,→b and →c be unit vectors, such that →a+→b+→c=→x,→a⋅→x=1,→b⋅→x=32,\|→x\|=2. Then the angle between →x and →c is
Answer» Let $\to a, \to b$ and $\to c$ be unit vectors, such that $\to a + \to b + \to c = \to x, \to a \cdot \to x = 1, \to b \cdot \to x = \frac{3}{2}, \| \to x \| = 2.$ Then the angle between $\to x$ and $\to c$ is

Discussion

7276.

Now look at this problem: the heights of 40 people, in centimeters, are given below. Make a frequency table of this data. 175 143 177 163 170 168 156 168 145 160 159 154 148 166 168 150 164 160 176 163 140 170 165 168 169 174 158 148 155 165 162 167 171 165 171 167 159 171 167 180

Answer»

Now look at this problem: the heights of 40 people, in centimeters, are given below. Make a frequency table of this data.

175	143	177	163	170	168	156	168	145	160
159	154	148	166	168	150	164	160	176	163
140	170	165	168	169	174	158	148	155	165
162	167	171	165	171	167	159	171	167	180

Discussion

7277.

Question 4 (iii) Find 38.53 ÷ 1000

Answer»

Question 4 (iii)

Find
38.53

\div

1000

Discussion

7278.	Question 83 (xx) Multiply the following:(x2−5x+6),(2x+7)
Answer» Question 83 (xx) Multiply the following: $(x^{2} - 5 x + 6), (2 x + 7)$

7278.

Question 83 (xx) Multiply the following:(x2−5x+6),(2x+7)

Answer»

Question 83 (xx)

Multiply the following:

$(x^{2} - 5 x + 6), (2 x + 7)$

Discussion

7279.	Which of the following is sufficient for two triangles denoted by Δ1 and Δ2 to be congruent ?
Answer» Which of the following is sufficient for two triangles denoted by $Δ 1$ and $Δ 2$ to be congruent ?

Discussion

7280.	The set builder form of "A is the set of whole numbers which are divisible by 5 and are less than 35" is _______________.
Answer» The set builder form of "A is the set of whole numbers which are divisible by 5 and are less than 35" is _______________.

Discussion

7281.	If 81y=93y, find y.
Answer» If $81^{y} = \frac{9}{3^{y}}$ , find y.

Discussion

7282.	If the water depth is 8.64 cm in a field over a base period of 15 days, then the duty is _____ ha/cumec.1500
Answer» If the water depth is $8.64 cm$ in a field over a base period of 15 days, then the duty is _____ ha/cumec. 1500

7282.

If the water depth is 8.64 cm in a field over a base period of 15 days, then the duty is _____ ha/cumec.1500

Answer»

If the water depth is $8.64 cm$ in a field over a base period of 15 days, then the duty is _____ ha/cumec.

1500

Discussion

7283.	Question 6A school provides milk to the students daily in cylindrical glasses of diameter 7 cm. if the glass is filled with milk upto a height of 12 cm, find how many litres of milk is needed to serve 1600 students.
Answer» Question 6 A school provides milk to the students daily in cylindrical glasses of diameter 7 cm. if the glass is filled with milk upto a height of 12 cm, find how many litres of milk is needed to serve 1600 students.

Discussion

7284.	Solve the following quadratic equation for x: √7x2+11x+4√7=0
Answer» Solve the following quadratic equation for $x$ : $\sqrt{7} x^{2} + 11 x + 4 \sqrt{7} = 0$

Discussion

7285.	Find the area of the triangle whose vertices are:(-5, -1), (3, -5), (5, 2)
Answer» Find the area of the triangle whose vertices are: (-5, -1), (3, -5), (5, 2)

Discussion

7286.	What is the need and applicability of Van't Hoff Factor? Explain the conditions where delta Tb = Kb.m can be used.
Answer» What is the need and applicability of Van't Hoff Factor? Explain the conditions where delta Tb = Kb.m can be used.

Discussion

7287.	In the following figure, if chords AB and CD are equal to 6 cm, then the distances of the chords from the centre of the circle of radius 5 cm are ___ and ___ respectively.
Answer» In the following figure, if chords AB and CD are equal to 6 cm, then the distances of the chords from the centre of the circle of radius 5 cm are ___ and ___ respectively.

7287.

In the following figure, if chords AB and CD are equal to 6 cm, then the distances of the chords from the centre of the circle of radius 5 cm are _ and _ respectively.

Answer»

In the following figure, if chords AB and CD are equal to 6 cm, then the distances of the chords from the centre of the circle of radius 5 cm are ___ and ___ respectively.

Discussion

7288.	If the mode of 22, 21, 23, 24, 21, 20, 23, 26, x and 26 is 23, then x =(a) 20 (b) 21 (c) 23 (d) 24
Answer» If the mode of 22, 21, 23, 24, 21, 20, 23, 26, x and 26 is 23, then x = (a) 20 (b) 21 (c) 23 (d) 24

Discussion

7289.	If the radius of the base of a cone is halved,keeping the height same, what is the ratio of the volume of the reduced cone to that of the original cone?
Answer» If the radius of the base of a cone is halved,keeping the height same, what is the ratio of the volume of the reduced cone to that of the original cone?

Discussion

7290.	(2x − 3y)3 + (4z − 2x)3 + (3y − 4z)3
Answer» (2x − 3y)³ + (4z − 2x)³ + (3y − 4z)³

Discussion

7291.	What is the term that is related to any ‘n’ sided polygon and gives the sum of lengths of all the sides of the polygon? __
Answer» What is the term that is related to any ‘n’ sided polygon and gives the sum of lengths of all the sides of the polygon? __

Discussion

7292.	Three cubes of metal whose edges are in the ratio 3 : 4 : 5 are melted down in to a single cube whose diagonal is 123 cm. Find the edges of three cubes.
Answer» Three cubes of metal whose edges are in the ratio 3 : 4 : 5 are melted down in to a single cube whose diagonal is $12 \sqrt{3}$ cm. Find the edges of three cubes.

Discussion

7293.	π\ast2p_{} has two nodal planes how?
Answer» π\ast2p_{} has two nodal planes how?

Discussion

7294.	If x+y+z=0, show that x3+y3+z3=3xyz
Answer» If $x + y + z = 0$ , show that $x^{3} + y^{3} + z^{3} = 3 x y z$

Discussion

7295.	prove that \sqrt{3+\sqrt{2 is an irrational number}}
Answer» prove that \sqrt{3+\sqrt{2 is an irrational number}}

Discussion

7296.	If any two adjacent angles in a quadrilateral are supplementary, then the quadrilateral is _________.
Answer» If any two adjacent angles in a quadrilateral are supplementary, then the quadrilateral is _________.

Discussion

7297.	If x,y are two positive numbers such that x−y=10 and square of the greater exceeds twice the square of the smaller by maximum value, then which of the following is/are true
Answer» If $x, y$ are two positive numbers such that $x - y = 10$ and square of the greater exceeds twice the square of the smaller by maximum value, then which of the following is/are true

Discussion

7298.	Question 51 Fill in the blanks to make the statement true. [12×(−7)]×5= ___ × [(−7)×___ ]
Answer» Question 51 Fill in the blanks to make the statement true. $[12 \times (- 7)] \times 5 =$ ___ $\times$ $[(- 7) \times$ ___ $]$

7298.

Question 51 Fill in the blanks to make the statement true. [12×(−7)]×5= _ × [(−7)×_ ]

Answer»

Question 51

Fill in the blanks to make the statement true.

$[12 \times (- 7)] \times 5 =$ ___ $\times$ $[(- 7) \times$ ___ $]$

Discussion

7299.	Identify the equations with a positive constant of proportionality from the following options.
Answer» Identify the equations with a positive constant of proportionality from the following options.

Discussion

7300.	Question 14The length of the minute hand of a clock is 5 cm. Find the area swept by the minute hand during the time period 6: 05 am and 6: 40 am.
Answer» Question 14 The length of the minute hand of a clock is 5 cm. Find the area swept by the minute hand during the time period 6: 05 am and 6: 40 am.

Discussion

Explore topic-wise InterviewSolutions in .

2. The area of the cylinder is 154sqcm and its height is 15cm then find the volume of cylinder

In an equilateral triangle, three times the square of one side is equal to four times the square of one of its altitudes.

Question 78 Fill in the blanks to make the statements true. The measure of ___ angle of a concave quadrilateral is more than 180∘.

Can anyone explain this question give the equation of a line passing through the point (3,5)

The remainders obtained when x3 + x2 – 9x – 9 is divided by x, x + 1 and x + 2 respectively are _________.

A spherical ball of lead 3 cm in diameter is melted and recast into three spherical balls. If the diameters of two balls be 32 cm and 2 cm, find the diameter of the third ball.

A chord AB of a circle whose center is O, is bisected at E by a diameter CD. OC=OD=15 cm and OE=9 cm. Find the length of BC.

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

7. A metal pipe is 77 m long. The inner diameter of a cross section is 4 cm, the outer diameter being 4.4 cm. Find its- 1. Inner curved surface area 2. Outer curved surface area. 3. Total surface area.

Question 31If two adjacent angles of a parallelogram are in the ratio 2 : 3, then the measures of the angles area) 72∘,108∘b) 36∘,54∘c) 80∘,120∘d) 96∘,144∘

Question 93State whether the statements are True or False.All squares are rectangles.

Prove that the diagonals of a rhombus are perpendicular bisectors of each other.

Saritaben, Ayesha and Meenakshi started a business by investing 2400, 5200 and 3400 rupees. They made a profit of 50%. How should they share it? If they reinvest all their profit by adding it to the capital, what will each one’s share be in the following year?

O is any point on the bisector of the acute angle ∠XYZ. From O, a line is extended to join XY such that OP is parallel to ZY. Then, △YPO is:

if(\sqrt[3]4+\sqrt[3]2-2)(\sqrt[3]4a+\sqrt[3]2b+c) =20 then which of the following is true? 1) a+b-c=10 2) a-b+c=10 3) a+b=2c 4) a+b+c=16

The volume of a sphere of radius 2r is (a) 32πr33 (b) 16πr33 (c) 8πr33 (d) 64πr33

Give an example of 2 rational number whose sum and difference is rational number

Question 10In given figure PQR is a right triangle, right angled at Q and QS ⊥ PR. If PQ = 6cm and PS = 4cm, then find QS, RS and QR.

A T-beam roof section has the following particulars :Thickness of slab : 120 mmWidth of rib : 300 mmDepth of beam : 450 mmClear distance of beams : 7.0 mDistance between points of contra flexure : 4.0 mThe effective width of flange of beam (in mm) is 1686.67

Find the area to be painted in the following block with a cylindrical hole. Given that length is 15cm, width 12cm, height 20cm and radius of the hole 2.8cm.

An aircraft has 120 passenger seats. The number of seats occupied during 100 flights is given in the following table. Number of seats100−104104−108108−112112−116116−120Frequency1520321815 Determine the mean number of seats occupied over the flights.

The triangular side walls of a flyover have been used for advertisements. The sides of the walls are 122m, 22m, and 120m (see the given figure). The advertisements yield an earning of Rs 5000 per m2 per year. A company hired one of its walls for 3 months. How much rent did it pay?

What are the mid-points of the class-intervals called?

Let →a,→b and →c be unit vectors, such that →a+→b+→c=→x,→a⋅→x=1,→b⋅→x=32,|→x|=2. Then the angle between →x and →c is

Now look at this problem: the heights of 40 people, in centimeters, are given below. Make a frequency table of this data. 175 143 177 163 170 168 156 168 145 160 159 154 148 166 168 150 164 160 176 163 140 170 165 168 169 174 158 148 155 165 162 167 171 165 171 167 159 171 167 180

Question 4 (iii) Find 38.53 ÷ 1000

Question 83 (xx) Multiply the following:(x2−5x+6),(2x+7)

Which of the following is sufficient for two triangles denoted by Δ1 and Δ2 to be congruent ?

The set builder form of "A is the set of whole numbers which are divisible by 5 and are less than 35" is _______________.

If 81y=93y, find y.

If the water depth is 8.64 cm in a field over a base period of 15 days, then the duty is _____ ha/cumec.1500

Question 6A school provides milk to the students daily in cylindrical glasses of diameter 7 cm. if the glass is filled with milk upto a height of 12 cm, find how many litres of milk is needed to serve 1600 students.

Solve the following quadratic equation for x: √7x2+11x+4√7=0

Find the area of the triangle whose vertices are:(-5, -1), (3, -5), (5, 2)

What is the need and applicability of Van't Hoff Factor? Explain the conditions where delta Tb = Kb.m can be used.

In the following figure, if chords AB and CD are equal to 6 cm, then the distances of the chords from the centre of the circle of radius 5 cm are ___ and ___ respectively.

If the mode of 22, 21, 23, 24, 21, 20, 23, 26, x and 26 is 23, then x =(a) 20 (b) 21 (c) 23 (d) 24

If the radius of the base of a cone is halved,keeping the height same, what is the ratio of the volume of the reduced cone to that of the original cone?

(2x − 3y)3 + (4z − 2x)3 + (3y − 4z)3

What is the term that is related to any ‘n’ sided polygon and gives the sum of lengths of all the sides of the polygon? __

Three cubes of metal whose edges are in the ratio 3 : 4 : 5 are melted down in to a single cube whose diagonal is 123 cm. Find the edges of three cubes.

π\ast2p_{} has two nodal planes how?

If x+y+z=0, show that x3+y3+z3=3xyz

prove that \sqrt{3+\sqrt{2 is an irrational number}}

If any two adjacent angles in a quadrilateral are supplementary, then the quadrilateral is _________.

If x,y are two positive numbers such that x−y=10 and square of the greater exceeds twice the square of the smaller by maximum value, then which of the following is/are true

Question 51 Fill in the blanks to make the statement true. [12×(−7)]×5= ___ × [(−7)×___ ]

Identify the equations with a positive constant of proportionality from the following options.

Question 14The length of the minute hand of a clock is 5 cm. Find the area swept by the minute hand during the time period 6: 05 am and 6: 40 am.

In the following figure, if chords AB and CD are equal to 6 cm, then the distances of the chords from the centre of the circle of radius 5 cm are _ and _ respectively.

Question 51 Fill in the blanks to make the statement true. [12×(−7)]×5= _ × [(−7)×_ ]