24740 + Interview Questions in Mathematics Page 118 InterviewSolution

5851.	If two cubes of side 6 cm are joined face to face, then find the volume of the resulting cuboid.
Answer» If two cubes of side 6 cm are joined face to face, then find the volume of the resulting cuboid.

Discussion

5852.	3x-4y =10 , 3x+2y = 2 Solve the following pair of linear equation by substitution method 2 4
Answer» 3x-4y =10 , 3x+2y = 2 Solve the following pair of linear equation by substitution method 2 4

Discussion

5853.	Factorise:x2+23x–24
Answer» Factorise: $x^{2} + 2 \sqrt{3} x - 24$

Discussion

5854.	In the given figure, seg PT is the bisector of ∠QPR. A line through R intersects ray QP at point S. Prove that PS = PR
Answer» In the given figure, seg PT is the bisector of $∠$ QPR. A line through R intersects ray QP at point S. Prove that PS = PR

Discussion

5855.	In the figure given, if AB \|\| CD, Find the values of 'p' and 'q'.
Answer» In the figure given, if AB \|\| CD, Find the values of 'p' and 'q'.

Discussion

5856.	The sum of the square of all real numbers satisfying the equation x 256 - 256 32 = 0 is
Answer» The sum of the square of all real numbers satisfying the equation x ²⁵⁶ - 256 ³² = 0 is

Discussion

5857.	How to insert irrational number
Answer» How to insert irrational number

Discussion

5858.	Question 5The pair of equations x = a and y = b graphically represents line which are(A) parallel(B) intersecting at (b, a)(C) coincident(D) intersecting at (a, b)
Answer» Question 5 The pair of equations x = a and y = b graphically represents line which are (A) parallel (B) intersecting at (b, a) (C) coincident (D) intersecting at (a, b)

Discussion

5859.

100 surnames were randomly picked up from a local telephone directory and a frequency distribution of the number of letters in the English alphabet in the surnames was found as follows: Number of letters Number of surnames 1 − 4 4 − 6 6 − 8 8 − 12 12 − 20 6 30 44 16 4 (i) Draw a histogram to depict the given information.(ii) Write the class interval in which the maximum number of surname lie.

Answer»

100 surnames were randomly picked up from a local telephone directory and a frequency distribution of the number of letters in the English alphabet in the surnames was found as follows:

Number of letters

Number of surnames

1 − 4

4 − 6

6 − 8

8 − 12

12 − 20

6

30

44

16

4

(i) Draw a histogram to depict the given information.

(ii) Write the class interval in which the maximum number of surname lie.

Discussion

5860.	In the figure, AC \|\| DF.∠CBO=40∘ and ∠FEO=30∘What is the value of the reflex angle ∠BOE?
Answer» In the figure, AC \|\| DF. $∠ C B O = 40^{\circ} and ∠ F E O = 30^{\circ}$ What is the value of the reflex angle $∠ B O E$ ?

Discussion

5861.	Question 8 Write True or False and justify your answer: The cost of leveling the ground in the form of a triangle having the sides 51m, 37m and 20m at the rate of Rs.3 per m2 is Rs.918.
Answer» Question 8 Write True or False and justify your answer: The cost of leveling the ground in the form of a triangle having the sides 51m, 37m and 20m at the rate of Rs.3 per $m^{2}$ is Rs.918.

Discussion

5862.	In the given figure AB and CD are two lines intersecting at O. If ∠AOC and ∠BOC are in ratio 2 : 3, find all angles.
Answer» In the given figure AB and CD are two lines intersecting at O. If $∠ A O C$ and $∠ B O C$ are in ratio 2 : 3, find all angles.

Discussion

5863.	In the given figure, ABCD is a rhombus and E is a point that lies on DC. The value of (∠AEC+∠EAC–∠CBD) is equal to
Answer» In the given figure, ABCD is a rhombus and E is a point that lies on DC. The value of $(∠ A E C + ∠ E A C - ∠ C B D)$ is equal to

Discussion

5864.	Look at the following figure. Start by finding the value for x1, then for x2, then x3, and so on..Then the value for x6 is
Answer» Look at the following figure. Start by finding the value for x₁, then for x₂, then x₃, and so on..Then the value for x₆ is

5864.

Look at the following figure. Start by finding the value for x1, then for x2, then x3, and so on..Then the value for x6 is

Answer»

Look at the following figure. Start by finding the value for x₁, then for x₂, then x₃, and so on..Then the value for x₆ is

Discussion

5865.	What will be the Perimeter of the isosceles right-angled △ LON in the given figure? (Given: KLOJ is a square)
Answer» What will be the Perimeter of the isosceles right-angled $△$ LON in the given figure? (Given: KLOJ is a square)

5865.

What will be the Perimeter of the isosceles right-angled △ LON in the given figure? (Given: KLOJ is a square)

Answer»

What will be the Perimeter of the isosceles right-angled $△$ LON in the given figure?
(Given: KLOJ is a square)

Discussion

5866.	ABCD is a square. Equilateral triangles ACF and ABE are drawn on the the diagonal AC and side AB respectively. Find area of △ACF : area of △ABE.
Answer» $A B C D$ is a square. Equilateral triangles $A C F$ and $A B E$ are drawn on the the diagonal $A C$ and side $A B$ respectively. Find area of $△ A C F$ : area of $△ A B E$ .

Discussion

5867.	The mean of 5 observations is 50. One of the observations was removed from the data, hence the mean became 45. Find the observation which was removed.
Answer» The mean of 5 observations is 50. One of the observations was removed from the data, hence the mean became 45. Find the observation which was removed.

Discussion

5868.	The underlined suffixes in the words make __________.
Answer» The underlined suffixes in the words make __________.

Discussion

5869.	A rectangular block has 2 metres, 3 metres and 4 metres as length, width and height respectively. If the sides of the block are extended by the same length 'x 'metres, what will be the algebric expression for the new volume?
Answer» A rectangular block has 2 metres, 3 metres and 4 metres as length, width and height respectively. If the sides of the block are extended by the same length 'x 'metres, what will be the algebric expression for the new volume?

Discussion

5870.	What is the average amount of money spent by Satish if he has spent ₹250, ₹350 and ₹300 in 3 days?
Answer» What is the average amount of money spent by Satish if he has spent ₹250, ₹350 and ₹300 in 3 days?

Discussion

5871.	From origin †an gents OA and OB are drawn to {(x-2)}^{2 }+{(y-2)}^2=1. If line PQ touches {(y+3)}^2=4a(x+4), if length of latus rectum of parabola is l, then l is equal to (where P and Q are mid point of OA and OB
Answer» From origin †an gents OA and OB are drawn to {(x-2)}^{2 }+{(y-2)}^2=1. If line PQ touches {(y+3)}^2=4a(x+4), if length of latus rectum of parabola is l, then l is equal to (where P and Q are mid point of OA and OB

Discussion

5872.	Let P and Q be two points in xy−plane on the curve y=x7−2x5+5x3+8x+5 such that −−→OP⋅^i=2 and −−→OQ⋅^i=−2 and the magnitude of −−→OP+−−→OQ=2M (where O is origin). Then the value of M is
Answer» Let $P$ and $Q$ be two points in $x y -$ plane on the curve $y = x^{7} - 2 x^{5} + 5 x^{3} + 8 x + 5$ such that $- - \to O P \cdot^i = 2$ and $- - \to O Q \cdot^i = - 2$ and the magnitude of $- - \to O P + - - \to O Q = 2 M$ $($ where $O$ is origin $) .$ Then the value of $M$ is

Discussion

5873.	Question 6 The given figure shows the distance-time graph of three objects A, B and C. Study the graph and answer the following questions: (a) Which of the three is travelling the fastest? (b) Are all three ever at the same point on the road? (c) How far has C travelled when B passes A? (d) How far has B travelled by the time it passes C?
Answer» Question 6 The given figure shows the distance-time graph of three objects A, B and C. Study the graph and answer the following questions: (a) Which of the three is travelling the fastest? (b) Are all three ever at the same point on the road? (c) How far has C travelled when B passes A? (d) How far has B travelled by the time it passes C?

Discussion

5874.	Pragya wrapped a cord around a circular pipe of radius 4 cm (adjoining figure) and cut off the length required of the cord. Then she wrapped it around a square box of side 4 cm (also shown). Did she have any cord left? (π=3.14)
Answer» Pragya wrapped a cord around a circular pipe of radius 4 cm (adjoining figure) and cut off the length required of the cord. Then she wrapped it around a square box of side 4 cm (also shown). Did she have any cord left? $(π = 3.14)$

Discussion

5875.	A juice seller fills glasses from a big cylindrical container of height 35.2 cm and radius 10 cm. He charges Rs. 10 for each glass of height 10 cm and radius 4 cm. The amount of money he earns by selling juice is [Take π=227]
Answer» A juice seller fills glasses from a big cylindrical container of height $35.2 c m$ and radius $10 c m$ . He charges Rs. $10$ for each glass of height $10 c m$ and radius $4 c m$ . The amount of money he earns by selling juice is [Take $π = \frac{22}{7}$ ]

Discussion

5876.	The mean weight of 6 boys in a group is 48 kg. The individual weights of five of them are 51 kg, 45 kg, 49 k& 46 kg and 44 kg. Find the weight of the sixth boy.
Answer» The mean weight of 6 boys in a group is 48 kg. The individual weights of five of them are 51 kg, 45 kg, 49 k& 46 kg and 44 kg. Find the weight of the sixth boy.

Discussion

5877.	In a trapezium ABCD, AB \|\| DC and M is the midpoint of BC. Through M, a line PQ \|\| AD has been drawn which meets AB in P and DC produced in Q, as shown in the adjoining figure. Prove that ar(ABCD) = ar(APQD).
Answer» In a trapezium ABCD, AB \|\| DC and M is the midpoint of BC. Through M, a line PQ \|\| AD has been drawn which meets AB in P and DC produced in Q, as shown in the adjoining figure. Prove that ar(ABCD) = ar(APQD).

Discussion

5878.	Find the equation of a circle which touches both the axes and passes through the point(2, 1).
Answer» Find the equation of a circle which touches both the axes and passes through the point (2, 1).

Discussion

5879.	Two adjacent sides of a parallelogram are 15cm and 12cm. If the distance between 15cm sides is 8cm, then the distance between the 12cm sides is ________________________ cm
Answer» Two adjacent sides of a parallelogram are $15 c m$ and $12 c m$ . If the distance between $15 c m$ sides is $8 c m$ , then the distance between the $12 c m$ sides is ________________________ $c m$

Discussion

5880.	Three partners A, B, and C invest ₹1500, ₹1200, and ₹1800 respectively in a company. How should they divide a profit of ₹900?
Answer» Three partners A, B, and C invest ₹1500, ₹1200, and ₹1800 respectively in a company. How should they divide a profit of ₹900?

Discussion

5881.	The ages of ten students of a group are given below. The ages have been recorded in years and months:8−6,9−0,8−0,4,9−3,7−8,8−11,8−7,9−2,7−10,8−8(i) What is the lowest age?(ii) What is the highest age?(iii) Determine the range?
Answer» The ages of ten students of a group are given below. The ages have been recorded in years and months: $8 - 6, 9 - 0, 8 - 0, 4, 9 - 3, 7 - 8, 8 - 11, 8 - 7, 9 - 2, 7 - 10, 8 - 8$ (i) What is the lowest age? (ii) What is the highest age? (iii) Determine the range?

Discussion

5882.	In Fig.3, ABCD and PQRC are rectangles and Q is the mid-point of AC. Prove that (i) DP = PC (ii) PR=12AC
Answer» In Fig.3, ABCD and PQRC are rectangles and Q is the mid-point of AC. Prove that (i) DP = PC (ii) $P R = \frac{1}{2} A C$

Discussion

5883.	Find the points of trisection of the line segment joining the points A(-4, 3) and B (2, -1).
Answer» Find the points of trisection of the line segment joining the points A(-4, 3) and B (2, -1).

Discussion

5884.	If radius and height of a cone is increased by 10% then find the volume of cone.
Answer» If radius and height of a cone is increased by 10% then find the volume of cone.

Discussion

5885.	Which of the following is not the property of a square?
Answer» Which of the following is not the property of a square?

Discussion

5886.	ABCD is a cyclic quadilateral whose diagonals intersect at a point E. If ∠DBC=70∘ and ∠BAC=30∘, find ∠BCD. Further if AB = BC, find ∠ECD.
Answer» ABCD is a cyclic quadilateral whose diagonals intersect at a point E. If $∠ D B C = 70^{\circ}$ and $∠ B A C = 30^{\circ}$ , find $∠ B C D$ . Further if AB = BC, find $∠ E C D$ .

5886.

ABCD is a cyclic quadilateral whose diagonals intersect at a point E. If ∠DBC=70∘ and ∠BAC=30∘, find ∠BCD. Further if AB = BC, find ∠ECD.

Answer»

ABCD is a cyclic quadilateral whose diagonals intersect at a point E. If $∠ D B C = 70^{\circ}$ and $∠ B A C = 30^{\circ}$ , find $∠ B C D$ . Further if AB = BC, find $∠ E C D$ .

Discussion

5887.	A glass has a height of 14 cm and a base radius of 7 cm. It is filled with water. Find the total surface area in contact with the water.
Answer» A glass has a height of 14 cm and a base radius of 7 cm. It is filled with water. Find the total surface area in contact with the water.

Discussion

5888.	From the following information, prepare the Trading Account for the year ended 31st March, 2017:Adjusted Purchases ₹ 15,00,000; Sales ₹ 21,40,000; Returns Inwards ₹ 40,000; Freight and Packing ₹ 15,000; Packing Expenses on Sales ₹ 20,000; Depreciation ₹ 36,000; Factory Expenses ₹ 60,000; Closing Stock ₹ 1,20,000.
Answer» From the following information, prepare the Trading Account for the year ended 31st March, 2017: Adjusted Purchases ₹ 15,00,000; Sales ₹ 21,40,000; Returns Inwards ₹ 40,000; Freight and Packing ₹ 15,000; Packing Expenses on Sales ₹ 20,000; Depreciation ₹ 36,000; Factory Expenses ₹ 60,000; Closing Stock ₹ 1,20,000.

Discussion

5889.	Matrices A and B satisfy AB=B−1, where B=[2−120]. Then the value of the scalar k for which kA−2B−1+I=O is
Answer» Matrices $A$ and $B$ satisfy $A B = B^{- 1}$ , where $B = [\begin{matrix} 2 & - 1 2 & 0 \end{matrix}] .$ Then the value of the scalar $k$ for which $k A - 2 B^{- 1} + I = O$ is

Discussion

5890.	Which of the following is not the outcome when you throw an unbiased die?
Answer» Which of the following is not the outcome when you throw an unbiased die?

Discussion

5891.	Find the lateral surface area and total surface are of a cuboid of length 80 cm, breadth 40 cm and height 20 cm.
Answer» Find the lateral surface area and total surface are of a cuboid of length 80 cm, breadth 40 cm and height 20 cm.

Discussion

5892.	The number 0.318564318564318564….. is:
Answer» The number 0.318564318564318564….. is:

Discussion

5893.	In the figure, line l ∥ line m and line p ∥ line q. Find the measures ∠ a, ∠ b, ∠ c and ∠ d.
Answer» In the figure, line l ∥ line m and line p ∥ line q. Find the measures ∠ a, ∠ b, ∠ c and ∠ d.

Discussion

5894.	The correct match for the edible part of fruit is
Answer» The correct match for the edible part of fruit is

Discussion

5895.	Question 10The number of triangles in the given figure is a) 10b) 12c) 13d) 14
Answer» Question 10 The number of triangles in the given figure is a) 10 b) 12 c) 13 d) 14

5895.

Question 10The number of triangles in the given figure is a) 10b) 12c) 13d) 14

Answer»

Question 10

The number of triangles in the given figure is

a) 10

b) 12

c) 13

d) 14

Discussion

5896.	In a right angled triangle ABC right angled at B,5×sinA=3.Find the value of cosC + tanA + cosecC.
Answer» In a right angled triangle ABC right angled at B, $5 \times s i n A = 3$ . Find the value of cosC + tanA + cosecC.

Discussion

5897.	If √5 and √2 are the length and width of a rectangle, then find the area of the rectangle.
Answer» If $\sqrt{5}$ and $\sqrt{2}$ are the length and width of a rectangle, then find the area of the rectangle.

Discussion

5898.	Find the number of empty relation we can define on a non empty set A ___
Answer» Find the number of empty relation we can define on a non empty set A ___

Discussion

5899.	ABC is a triangle and M & N are points on AB and AC such that MN \|\| BC. Find the given ratios if AM:MB = 2:3.
Answer» ABC is a triangle and M & N are points on AB and AC such that MN \|\| BC. Find the given ratios if AM:MB = 2:3.

Discussion

5900.	Prove that the circles described on the four sides of a rhombus as diameter, pass through the point of intersection of its diagonals.
Answer» Prove that the circles described on the four sides of a rhombus as diameter, pass through the point of intersection of its diagonals.

Discussion

Explore topic-wise InterviewSolutions in .

If two cubes of side 6 cm are joined face to face, then find the volume of the resulting cuboid.

3x-4y =10 , 3x+2y = 2 Solve the following pair of linear equation by substitution method 2 4

Factorise:x2+23x–24

In the given figure, seg PT is the bisector of ∠QPR. A line through R intersects ray QP at point S. Prove that PS = PR

In the figure given, if AB || CD, Find the values of 'p' and 'q'.

The sum of the square of all real numbers satisfying the equation x 256 - 256 32 = 0 is

How to insert irrational number

Question 5The pair of equations x = a and y = b graphically represents line which are(A) parallel(B) intersecting at (b, a)(C) coincident(D) intersecting at (a, b)

In the figure, AC || DF.∠CBO=40∘ and ∠FEO=30∘What is the value of the reflex angle ∠BOE?

Question 8 Write True or False and justify your answer: The cost of leveling the ground in the form of a triangle having the sides 51m, 37m and 20m at the rate of Rs.3 per m2 is Rs.918.

In the given figure AB and CD are two lines intersecting at O. If ∠AOC and ∠BOC are in ratio 2 : 3, find all angles.

In the given figure, ABCD is a rhombus and E is a point that lies on DC. The value of (∠AEC+∠EAC–∠CBD) is equal to

Look at the following figure. Start by finding the value for x1, then for x2, then x3, and so on..Then the value for x6 is

What will be the Perimeter of the isosceles right-angled △ LON in the given figure? (Given: KLOJ is a square)

ABCD is a square. Equilateral triangles ACF and ABE are drawn on the the diagonal AC and side AB respectively. Find area of △ACF : area of △ABE.

The mean of 5 observations is 50. One of the observations was removed from the data, hence the mean became 45. Find the observation which was removed.

The underlined suffixes in the words make __________.

A rectangular block has 2 metres, 3 metres and 4 metres as length, width and height respectively. If the sides of the block are extended by the same length 'x 'metres, what will be the algebric expression for the new volume?

What is the average amount of money spent by Satish if he has spent ₹250, ₹350 and ₹300 in 3 days?

From origin †an gents OA and OB are drawn to {(x-2)}^{2 }+{(y-2)}^2=1. If line PQ touches {(y+3)}^2=4a(x+4), if length of latus rectum of parabola is l, then l is equal to (where P and Q are mid point of OA and OB

Let P and Q be two points in xy−plane on the curve y=x7−2x5+5x3+8x+5 such that −−→OP⋅^i=2 and −−→OQ⋅^i=−2 and the magnitude of −−→OP+−−→OQ=2M (where O is origin). Then the value of M is

Pragya wrapped a cord around a circular pipe of radius 4 cm (adjoining figure) and cut off the length required of the cord. Then she wrapped it around a square box of side 4 cm (also shown). Did she have any cord left? (π=3.14)

A juice seller fills glasses from a big cylindrical container of height 35.2 cm and radius 10 cm. He charges Rs. 10 for each glass of height 10 cm and radius 4 cm. The amount of money he earns by selling juice is [Take π=227]

The mean weight of 6 boys in a group is 48 kg. The individual weights of five of them are 51 kg, 45 kg, 49 k&amp; 46 kg and 44 kg. Find the weight of the sixth boy.

In a trapezium ABCD, AB || DC and M is the midpoint of BC. Through M, a line PQ || AD has been drawn which meets AB in P and DC produced in Q, as shown in the adjoining figure. Prove that ar(ABCD) = ar(APQD).

Find the equation of a circle which touches both the axes and passes through the point(2, 1).

Two adjacent sides of a parallelogram are 15cm and 12cm. If the distance between 15cm sides is 8cm, then the distance between the 12cm sides is ________________________ cm

Three partners A, B, and C invest ₹1500, ₹1200, and ₹1800 respectively in a company. How should they divide a profit of ₹900?

The ages of ten students of a group are given below. The ages have been recorded in years and months:8−6,9−0,8−0,4,9−3,7−8,8−11,8−7,9−2,7−10,8−8(i) What is the lowest age?(ii) What is the highest age?(iii) Determine the range?

In Fig.3, ABCD and PQRC are rectangles and Q is the mid-point of AC. Prove that (i) DP = PC (ii) PR=12AC

Find the points of trisection of the line segment joining the points A(-4, 3) and B (2, -1).

If radius and height of a cone is increased by 10% then find the volume of cone.

Which of the following is not the property of a square?

ABCD is a cyclic quadilateral whose diagonals intersect at a point E. If ∠DBC=70∘ and ∠BAC=30∘, find ∠BCD. Further if AB = BC, find ∠ECD.

A glass has a height of 14 cm and a base radius of 7 cm. It is filled with water. Find the total surface area in contact with the water.

Matrices A and B satisfy AB=B−1, where B=[2−120]. Then the value of the scalar k for which kA−2B−1+I=O is

Which of the following is not the outcome when you throw an unbiased die?

Find the lateral surface area and total surface are of a cuboid of length 80 cm, breadth 40 cm and height 20 cm.

The number 0.318564318564318564….. is:

In the figure, line l ∥ line m and line p ∥ line q. Find the measures ∠ a, ∠ b, ∠ c and ∠ d.

The correct match for the edible part of fruit is

Question 10The number of triangles in the given figure is a) 10b) 12c) 13d) 14

In a right angled triangle ABC right angled at B,5×sinA=3.Find the value of cosC + tanA + cosecC.

If √5 and √2 are the length and width of a rectangle, then find the area of the rectangle.

Find the number of empty relation we can define on a non empty set A ___

ABC is a triangle and M &amp; N are points on AB and AC such that MN || BC. Find the given ratios if AM:MB = 2:3.

Prove that the circles described on the four sides of a rhombus as diameter, pass through the point of intersection of its diagonals.

The mean weight of 6 boys in a group is 48 kg. The individual weights of five of them are 51 kg, 45 kg, 49 k& 46 kg and 44 kg. Find the weight of the sixth boy.

ABC is a triangle and M & N are points on AB and AC such that MN || BC. Find the given ratios if AM:MB = 2:3.