25365 + Interview Questions in Mathematics Page 20 InterviewSolution

951.	Which of the following graph(s) is/are discrete graph(s)?
Answer» Which of the following graph(s) is/are discrete graph(s)?

Discussion

952.	(x^a/x^b)^1/ab . (x^b/x^c)^1/bc . (x^c/x^a)^1/ca
Answer» (x^a/x^b)^1/ab . (x^b/x^c)^1/bc . (x^c/x^a)^1/ca

Discussion

953.	The mode of the data set given below is 13. Find the missing observation.5 ? 6 34 13 1 9 13 9 19 45
Answer» The mode of the data set given below is 13. Find the missing observation. 5 ? 6 34 13 1 9 13 9 19 45

953.

The mode of the data set given below is 13. Find the missing observation.5 ? 6 34 13 1 9 13 9 19 45

Answer»

The mode of the data set given below is 13. Find the missing observation.

5 ? 6 34 13 1 9 13 9 19 45

Discussion

954.	Prove assosiative property using the given sum: (300 + 586) + 114
Answer» Prove assosiative property using the given sum: (300 + 586) + 114

Discussion

955.	38. If tap 'A' fills up a tank in 100 minutes. A tap 'B' fills 42 litre in one minute . if both are opened simultaneously, then the tank fills up in 25 minutes. What is the volume of the tank ?
Answer» 38. If tap 'A' fills up a tank in 100 minutes. A tap 'B' fills 42 litre in one minute . if both are opened simultaneously, then the tank fills up in 25 minutes. What is the volume of the tank ?

Discussion

956.	The compound interest on a sum of ₹ 15,000 at 4% per annum for a period of 2 years, compounded annually will be equal to
Answer» The compound interest on a sum of ₹ 15,000 at 4% per annum for a period of 2 years, compounded annually will be equal to

Discussion

957.	Choose the correct option:The measure of an angle which is 5 times its supplement is ___________A. 30°B. 60°C. 120°D. 150°
Answer» Choose the correct option: The measure of an angle which is 5 times its supplement is ___________ A. 30° B. 60° C. 120° D. 150°

957.

Choose the correct option:The measure of an angle which is 5 times its supplement is ___________A. 30°B. 60°C. 120°D. 150°

Answer»

Choose the correct option:

The measure of an angle which is 5 times its supplement is ___________

A. 30°

B. 60°

C. 120°

D. 150°

Discussion

958.	Find the altitude of a trapezium whose area is 65cm² and whose bases are 13cm and 26cm
Answer» Find the altitude of a trapezium whose area is 65cm² and whose bases are 13cm and 26cm

Discussion

959.	5x+8y3y–x=2a, change the subject of the formula to x.
Answer» $\frac{5 x + 8 y}{3 y - x} = 2 a$ , change the subject of the formula to x.

Discussion

960.	divide x³+x²+3x+1 by 5+2x using long division method
Answer» divide x³+x²+3x+1 by 5+2x using long division method

Discussion

961.	Question 41Fill in the blanks to make the statements true.For each of the following solids, identify the front, side and top views and write it in the shape provided.Note Top view is the picture of the solid as seen from the top.
Answer» Question 41 Fill in the blanks to make the statements true. For each of the following solids, identify the front, side and top views and write it in the shape provided. Note Top view is the picture of the solid as seen from the top.

Discussion

962.	Shishir is trying to express every cube as the sum of consecutive odd numbers. He is struggling to express 73 in this way. Can you find the odd numbers whose sum leads to 73?
Answer» Shishir is trying to express every cube as the sum of consecutive odd numbers. He is struggling to express $7^{3}$ in this way. Can you find the odd numbers whose sum leads to $7^{3}$ ?

Discussion

963.	Which of the following is a correct representation for permutation of 10 objects taken 6 at a time
Answer» Which of the following is a correct representation for permutation of $10$ objects taken $6$ at a time

Discussion

964.	26 How to find incentre of (1,2) (3,4) and (2,3)
Answer» 26 How to find incentre of (1,2) (3,4) and (2,3)

Discussion

965.

Considerthe following parallelograms. Find the values of the unknowns x,y,z. (i) (ii) (iii) (iv) (v)

Answer»

Consider
the following parallelograms. Find the values of the unknowns x,
y,
z.


(i)	(ii)

(iii)	(iv)

(v)

Discussion

966.	If an acid and water are mixed in the ratio 5:6 to make a liquid. When 20 more litres of acid is added, the ratio changes to 5:2, then how many litres of acid does the liquid contain now?
Answer» If an acid and water are mixed in the ratio 5:6 to make a liquid. When 20 more litres of acid is added, the ratio changes to 5:2, then how many litres of acid does the liquid contain now?

Discussion

967.	Construct a parallelogram BEAR with BE = 7 cm, BA = 7.5 cm and ∠ BEA = 80∘ . Also find its area.
Answer» Construct a parallelogram BEAR with BE = 7 cm, BA = 7.5 cm and $∠$ BEA = 80 $^{\circ}$ . Also find its area.

Discussion

968.	Question 58The factorisation of 2x+4y is ___
Answer» Question 58 The factorisation of $2 x + 4 y$ is ___

968.

Question 58The factorisation of 2x+4y is ___

Answer»

Question 58

The factorisation of $2 x + 4 y$ is ___

Discussion

969.	Question 59Locate the points A(1,2), B(4,2) and C(1,4) on a graph sheet taking suitable axes. Write the coordinates of the fourth point D to complete the rectangle ABCD.
Answer» Question 59 Locate the points A(1,2), B(4,2) and C(1,4) on a graph sheet taking suitable axes. Write the coordinates of the fourth point D to complete the rectangle ABCD.

Discussion

970.	Amina buys a book for Rs 275 and sells it at a loss 15%. How much does she sell it for? If she had sold it for Rs 286 calculate the profit percent. [4 MARKS]
Answer» Amina buys a book for Rs 275 and sells it at a loss $15 %$ . How much does she sell it for? If she had sold it for Rs 286 calculate the profit percent. [4 MARKS]

Discussion

971.	Abhishek has three containers:a)Cylindrical container A having radius r and height 2rb)Cubical container B having its edge 34r c)Cuboidal container C having dimensions r×54r×73r The arrangement of the containers in the increasing order of their volumes is
Answer» Abhishek has three containers: a)Cylindrical container A having radius r and height 2r b)Cubical container B having its edge $\frac{3}{4} r$ c)Cuboidal container C having dimensions $r \times \frac{5}{4} r \times \frac{7}{3} r$ The arrangement of the containers in the increasing order of their volumes is

971.

Abhishek has three containers:a)Cylindrical container A having radius r and height 2rb)Cubical container B having its edge 34r c)Cuboidal container C having dimensions r×54r×73r The arrangement of the containers in the increasing order of their volumes is

Answer»

Abhishek has three containers:

a)Cylindrical container A having radius r and height 2r

b)Cubical container B having its edge $\frac{3}{4} r$

c)Cuboidal container C having dimensions $r \times \frac{5}{4} r \times \frac{7}{3} r$

The arrangement of the containers in the increasing order of their volumes is

Discussion

972.	Solveand check result:
Answer» Solve and check result:

Discussion

973.	Question 119Solve the following question:Three numbers are in the ratio 1 : 2 : 3 and the sum of their cubes is 4500. Find the numbers.
Answer» Question 119 Solve the following question: Three numbers are in the ratio 1 : 2 : 3 and the sum of their cubes is 4500. Find the numbers.

973.

Question 119Solve the following question:Three numbers are in the ratio 1 : 2 : 3 and the sum of their cubes is 4500. Find the numbers.

Answer»

Question 119

Solve the following question:

Three numbers are in the ratio 1 : 2 : 3 and the sum of their cubes is 4500. Find the numbers.

Discussion

974.	Construct a rhombus AJUN with AU = 24 cm and JN = 10 cm. Find the length of the side of the rhombus?
Answer» Construct a rhombus AJUN with AU = 24 cm and JN = 10 cm. Find the length of the side of the rhombus?

Discussion

975.	The value of x satiThesfying the inequality \|2x - 3\| + \|4x + 1\| = 4, are
Answer» The value of x satiThesfying the inequality \|2x - 3\| + \|4x + 1\| = 4, are

Discussion

976.	35. Construct triangle PQR in which QR=8cm ,angle Q=30 degree and PQ-PR=3.5cm
Answer» 35. Construct triangle PQR in which QR=8cm ,angle Q=30 degree and PQ-PR=3.5cm

Discussion

977.	-6 divided by 0 is ____
Answer» -6 divided by 0 is ____

Discussion

978.	How many perfect cubes are there from 1 to 500? How many are perfect squares among these cubes?
Answer» How many perfect cubes are there from 1 to 500? How many are perfect squares among these cubes?

Discussion

979.	Question 5 (i)What is a regular polygon? State the name of a regular polygon of:(i) 3 sides
Answer» Question 5 (i) What is a regular polygon? State the name of a regular polygon of: (i) 3 sides

Discussion

980.	Question 82(ii) The graph given below compares the price ( in Rs.) and weight of 6 bags ( in kg) of sugar of different brands A, B, C, D, E, F.Bag of which brand of sugar is the heaviest?
Answer» Question 82(ii) The graph given below compares the price ( in Rs.) and weight of 6 bags ( in kg) of sugar of different brands A, B, C, D, E, F. Bag of which brand of sugar is the heaviest?

Discussion

981.	A milkman has a container of 10 L full of pure milk. He takes out one full jug of pure milk for himself and refills the container with water using the same jug. Now again, he takes out a jug of milk and water mixture and replaces it with water to finally make water milk ratio as 1, what was the volume of the jug (in L)?
Answer» A milkman has a container of 10 L full of pure milk. He takes out one full jug of pure milk for himself and refills the container with water using the same jug. Now again, he takes out a jug of milk and water mixture and replaces it with water to finally make water milk ratio as 1, what was the volume of the jug (in L)?

Discussion

982.	Four alternative options are given for each of the following statements. Select the correct option.The product 58 × 62 is (use an identity):A. 4596B. 2596C. 3596D. 6596
Answer» Four alternative options are given for each of the following statements. Select the correct option. The product 58 × 62 is (use an identity): A. 4596 B. 2596 C. 3596 D. 6596

982.

Four alternative options are given for each of the following statements. Select the correct option.The product 58 × 62 is (use an identity):A. 4596B. 2596C. 3596D. 6596

Answer»

Four alternative options are given for each of the following statements. Select the correct option.

The product 58 × 62 is (use an identity):

A. 4596

B. 2596

C. 3596

D. 6596

Discussion

983.	Convert the following rational numbers into decimals and write the periods and their length.(ii) 715
Answer» Convert the following rational numbers into decimals and write the periods and their length. (ii) $\frac{7}{15}$

Discussion

984.

Using divisibility tests, determine which of the following numbers are divisible by 2; by 3; by 4; by 5; by 6; by 8; by 9; by 10; by 11 (say, yes or no): Number Divisible by 2 3 4 5 6 8 9 10 11 128 Yes No Yes No No Yes No No No 990 … … … … … … … … … 1586 … … … … … … … … … 275 … … … … … … … … … 6686 … … … … … … … … … 639210 … … … … … … … … … 429714 … … … … … … … … … 2856 … … … … … … … … … 3060 … … … … … … … … … 406839 … … … … … … … … …

Answer»

Using
divisibility tests, determine which of the following numbers are
divisible by 2; by 3; by 4; by 5; by 6; by 8; by 9; by 10; by 11
(say, yes or no):

Number	Divisible by
Number	2	3	4	5	6	8	9	10	11
128	Yes	No	Yes	No	No	Yes	No	No	No
990	…	…	…	…	…	…	…	…	…
1586	…	…	…	…	…	…	…	…	…
275	…	…	…	…	…	…	…	…	…
6686	…	…	…	…	…	…	…	…	…
639210	…	…	…	…	…	…	…	…	…
429714	…	…	…	…	…	…	…	…	…
2856	…	…	…	…	…	…	…	…	…
3060	…	…	…	…	…	…	…	…	…
406839	…	…	…	…	…	…	…	…	…

Discussion

985.	Pass the necessary Journal entries to rectify the following errors:(i) ₹ 15,000 paid as wages for the construction of office building debited to Salaries Account.(ii) ₹ 20,000 spent on the purchases of material for the construction of building debited to Purchases Account.(iii) ₹ 50,000 spent on the extension of building was debited to Building Repairs Account.(iv) ₹ 25,000 spent on whitewash of a new building was charged to Building Repairs Account.(v) ₹ 1,000 paid as installation charges for newly purchased second hand machinery posted to Cartage Account.(vi) ₹ 10,000 paid as repairing charges on the reconditioning of a newly purchased second hand machinery debited to General Expenses Account.(vii) ₹ 5,000 paid as repairing charges of an existing machine in use charged to Machinery Account.(viii) ₹ 10,000 paid by cheque for a printer was charged to the Office Expense Account.
Answer» Pass the necessary Journal entries to rectify the following errors: (i) ₹ 15,000 paid as wages for the construction of office building debited to Salaries Account. (ii) ₹ 20,000 spent on the purchases of material for the construction of building debited to Purchases Account. (iii) ₹ 50,000 spent on the extension of building was debited to Building Repairs Account. (iv) ₹ 25,000 spent on whitewash of a new building was charged to Building Repairs Account. (v) ₹ 1,000 paid as installation charges for newly purchased second hand machinery posted to Cartage Account. (vi) ₹ 10,000 paid as repairing charges on the reconditioning of a newly purchased second hand machinery debited to General Expenses Account. (vii) ₹ 5,000 paid as repairing charges of an existing machine in use charged to Machinery Account. (viii) ₹ 10,000 paid by cheque for a printer was charged to the Office Expense Account.

Discussion

986.	A rectangle of length and breadth equal to 19m and 17m respectively has to be converted into a square of equal area. What will be the side of the square? (Give answer till two decimal places).
Answer» A rectangle of length and breadth equal to 19m and 17m respectively has to be converted into a square of equal area. What will be the side of the square? (Give answer till two decimal places).

Discussion

987.	Gunpowder contains 75% nitre and 10% sulphur. Find the amount of gunpowder which carries 9 kg nitre. What amount of gunpowder would contain 2.5 kg sulphur?
Answer» Gunpowder contains $75$ $%$ nitre and $10$ $%$ sulphur. Find the amount of gunpowder which carries $9 k g$ nitre. What amount of gunpowder would contain $2.5 k g$ sulphur?

Discussion

988.	A die with six faces is marked with six numbers 1,2,3,4,5 and 6 respectively. This die is rolled three times and three positions are shown as : Find the number opposite to 1.
Answer» A die with six faces is marked with six numbers $1, 2, 3, 4, 5$ and $6$ respectively. This die is rolled three times and three positions are shown as : Find the number opposite to $1.$

Discussion

989.

Amelia was feeding the data points of a data set as follows: 46 25 23 24 6 4 3 21 25 42 25 12 24 23 23 She mistakenly entered the number 42. Given that the data set is trimodal data, the correct value in place of 42 is .

Answer» Amelia was feeding the data points of a data set as follows:

$46$	$25$	$23$	$24$	$6$
$4$	$3$	$21$	$25$	$42$
$25$	$12$	$24$	$23$	$23$

She mistakenly entered the number

42

. Given that the data set is trimodal data, the correct value in place of

42

is .

Discussion

990.	If the median of the distribution given below is 28.5, find the values of x and y Class IntervalFrequency0−10510−20x20−302030−401540−50y50−605Total60
Answer» If the median of the distribution given below is 28.5, find the values of x and y $\begin{matrix} Class Interval & Frequency 0 - 10 & 5 10 - 20 & x 20 - 30 & 20 30 - 40 & 15 40 - 50 & y 50 - 60 & 5 T o t a l & 60 \end{matrix}$

Discussion

991.	Question 48State whether the following statement is True or False.Euler's formula is true for all three-dimensional shapes.
Answer» Question 48 State whether the following statement is True or False. Euler's formula is true for all three-dimensional shapes.

Discussion

992.	(23)0=? (a)32 (b)23 (c) 1 (d) 0
Answer» ${(\frac{2}{3})}^{0} = ?$ $(a) \frac{3}{2}$ $(b) \frac{2}{3}$ (c) 1 (d) 0

992.

(23)0=? (a)32 (b)23 (c) 1 (d) 0

Answer»

${(\frac{2}{3})}^{0} = ?$

$(a) \frac{3}{2}$

$(b) \frac{2}{3}$

(c) 1

(d) 0

Discussion

993.	Volume of a cube having side 92 cm=
Answer» Volume of a cube having side 92 cm=

Discussion

994.	If Ram buys a bag of coins which has identical gold, silver, copper and iron coins, then what are all the possible outcomes that he can get while randomly pulling out a coin.
Answer» If Ram buys a bag of coins which has identical gold, silver, copper and iron coins, then what are all the possible outcomes that he can get while randomly pulling out a coin.

Discussion

995.	Question 72If a pair of coins is tossed, then the number of outcomes are 2.
Answer» Question 72 If a pair of coins is tossed, then the number of outcomes are 2.

995.

Question 72If a pair of coins is tossed, then the number of outcomes are 2.

Answer»

Question 72

If a pair of coins is tossed, then the number of outcomes are 2.

Discussion

996.	Let be a line segment and let C be the midpoint of. Extend to D such that B lies between A and D. Prove that AD + BD = 2CD.
Answer» Let be a line segment and let C be the midpoint of. Extend to D such that B lies between A and D. Prove that AD + BD = 2CD.

996.

Let be a line segment and let C be the midpoint of. Extend to D such that B lies between A and D. Prove that AD + BD = 2CD.

Answer»

Let be a line segment and let C be the midpoint of. Extend to D such that B lies between A and D. Prove that AD + BD = 2CD.

Discussion

997.	In a regular polygon if the ratio of inner and outer angle is 3:1 then find the difference between the inner and outer angle in the polygon.
Answer» In a regular polygon if the ratio of inner and outer angle is 3:1 then find the difference between the inner and outer angle in the polygon.

Discussion

998.	The cost of car, purchased 2 years ago, depreciates at the rate of 20% every year. If its present worth is ₹3,15,600, find its purchase price.
Answer» The cost of car, purchased 2 years ago, depreciates at the rate of $20 %$ every year. If its present worth is ₹3,15,600, find its purchase price.

Discussion

999.	A treasure is split between 5 explorers equally. Each explorer further divides his share of the treasure into 4 equal parts and pays one of those parts as tax. What fraction of the treasure do the 5 explorers together pay as tax ?
Answer» A treasure is split between 5 explorers equally. Each explorer further divides his share of the treasure into 4 equal parts and pays one of those parts as tax. What fraction of the treasure do the 5 explorers together pay as tax ?

Discussion

1000.	In the given figure, ABCD is a trapezium in which AB = 7 cm, AD = BC = 5 cm, DC = x cm, and distance between AB and DC is 4 cm. Find the value of x and area of trapezium ABCD.
Answer» In the given figure, ABCD is a trapezium in which AB = 7 cm, AD = BC = 5 cm, DC = x cm, and distance between AB and DC is 4 cm. Find the value of x and area of trapezium ABCD.

Discussion

Explore topic-wise InterviewSolutions in .

Which of the following graph(s) is/are discrete graph(s)?

(x^a/x^b)^1/ab . (x^b/x^c)^1/bc . (x^c/x^a)^1/ca

The mode of the data set given below is 13. Find the missing observation.5 ? 6 34 13 1 9 13 9 19 45

Prove assosiative property using the given sum: (300 + 586) + 114

38. If tap 'A' fills up a tank in 100 minutes. A tap 'B' fills 42 litre in one minute . if both are opened simultaneously, then the tank fills up in 25 minutes. What is the volume of the tank ?

The compound interest on a sum of ₹ 15,000 at 4% per annum for a period of 2 years, compounded annually will be equal to

Choose the correct option:The measure of an angle which is 5 times its supplement is ___________A. 30°B. 60°C. 120°D. 150°

Find the altitude of a trapezium whose area is 65cm² and whose bases are 13cm and 26cm

5x+8y3y–x=2a, change the subject of the formula to x.

divide x³+x²+3x+1 by 5+2x using long division method

Question 41Fill in the blanks to make the statements true.For each of the following solids, identify the front, side and top views and write it in the shape provided.Note Top view is the picture of the solid as seen from the top.

Shishir is trying to express every cube as the sum of consecutive odd numbers. He is struggling to express 73 in this way. Can you find the odd numbers whose sum leads to 73?

Which of the following is a correct representation for permutation of 10 objects taken 6 at a time

26 How to find incentre of (1,2) (3,4) and (2,3)

Considerthe following parallelograms. Find the values of the unknowns x,y,z. (i) (ii) (iii) (iv) (v)

If an acid and water are mixed in the ratio 5:6 to make a liquid. When 20 more litres of acid is added, the ratio changes to 5:2, then how many litres of acid does the liquid contain now?

Construct a parallelogram BEAR with BE = 7 cm, BA = 7.5 cm and ∠ BEA = 80∘ . Also find its area.

Question 58The factorisation of 2x+4y is ___

Question 59Locate the points A(1,2), B(4,2) and C(1,4) on a graph sheet taking suitable axes. Write the coordinates of the fourth point D to complete the rectangle ABCD.

Amina buys a book for Rs 275 and sells it at a loss 15%. How much does she sell it for? If she had sold it for Rs 286 calculate the profit percent. [4 MARKS]

Abhishek has three containers:a)Cylindrical container A having radius r and height 2rb)Cubical container B having its edge 34r c)Cuboidal container C having dimensions r×54r×73r The arrangement of the containers in the increasing order of their volumes is

Solveand check result:

Question 119Solve the following question:Three numbers are in the ratio 1 : 2 : 3 and the sum of their cubes is 4500. Find the numbers.

Construct a rhombus AJUN with AU = 24 cm and JN = 10 cm. Find the length of the side of the rhombus?

The value of x satiThesfying the inequality |2x - 3| + |4x + 1| = 4, are

35. Construct triangle PQR in which QR=8cm ,angle Q=30 degree and PQ-PR=3.5cm

-6 divided by 0 is ____

How many perfect cubes are there from 1 to 500? How many are perfect squares among these cubes?

Question 5 (i)What is a regular polygon? State the name of a regular polygon of:(i) 3 sides

Question 82(ii) The graph given below compares the price ( in Rs.) and weight of 6 bags ( in kg) of sugar of different brands A, B, C, D, E, F.Bag of which brand of sugar is the heaviest?

Four alternative options are given for each of the following statements. Select the correct option.The product 58 × 62 is (use an identity):A. 4596B. 2596C. 3596D. 6596

Convert the following rational numbers into decimals and write the periods and their length.(ii) 715

A rectangle of length and breadth equal to 19m and 17m respectively has to be converted into a square of equal area. What will be the side of the square? (Give answer till two decimal places).

Gunpowder contains 75% nitre and 10% sulphur. Find the amount of gunpowder which carries 9 kg nitre. What amount of gunpowder would contain 2.5 kg sulphur?

A die with six faces is marked with six numbers 1,2,3,4,5 and 6 respectively. This die is rolled three times and three positions are shown as : Find the number opposite to 1.

Amelia was feeding the data points of a data set as follows: 46 25 23 24 6 4 3 21 25 42 25 12 24 23 23 She mistakenly entered the number 42. Given that the data set is trimodal data, the correct value in place of 42 is .

If the median of the distribution given below is 28.5, find the values of x and y Class IntervalFrequency0−10510−20x20−302030−401540−50y50−605Total60

Question 48State whether the following statement is True or False.Euler's formula is true for all three-dimensional shapes.

(23)0=? (a)32 (b)23 (c) 1 (d) 0

Volume of a cube having side 92 cm=

If Ram buys a bag of coins which has identical gold, silver, copper and iron coins, then what are all the possible outcomes that he can get while randomly pulling out a coin.

Question 72If a pair of coins is tossed, then the number of outcomes are 2.

Let be a line segment and let C be the midpoint of. Extend to D such that B lies between A and D. Prove that AD + BD = 2CD.

In a regular polygon if the ratio of inner and outer angle is 3:1 then find the difference between the inner and outer angle in the polygon.

The cost of car, purchased 2 years ago, depreciates at the rate of 20% every year. If its present worth is ₹3,15,600, find its purchase price.

A treasure is split between 5 explorers equally. Each explorer further divides his share of the treasure into 4 equal parts and pays one of those parts as tax. What fraction of the treasure do the 5 explorers together pay as tax ?

In the given figure, ABCD is a trapezium in which AB = 7 cm, AD = BC = 5 cm, DC = x cm, and distance between AB and DC is 4 cm. Find the value of x and area of trapezium ABCD.