25365 + Interview Questions in Mathematics Page 22 InterviewSolution

1051.	Question 40(ii)Study the given map of a zoo and answer the following questions.(D,f) and (C,d) represent locations of which animals in the zoo?
Answer» Question 40(ii) Study the given map of a zoo and answer the following questions. (D,f) and (C,d) represent locations of which animals in the zoo?

Discussion

1052.	In the given figure, If line segment AB is parallel to the line segment CD, what is the value of y?(a) 12(b) 15(c) 18(d) 20
Answer» In the given figure, If line segment AB is parallel to the line segment CD, what is the value of y? (a) 12 (b) 15 (c) 18 (d) 20

Discussion

1053.	Find a terminating decimal number between Root 5 and Root 10.
Answer» Find a terminating decimal number between Root 5 and Root 10.

Discussion

1054.	Find the value of (66666)2.
Answer» $Find the value of (66666)^{2} .$

Discussion

1055.

Prepare Simple Cash Book from the following transactions of Suresh, Delhi: 2019 ₹ 2019 ₹ April 1 Suresh commenced business with cash 80,000 April 17 Paid for stationery 200 April 3 He bought goods 50,000 April 18 Paid for office furniture 3,000 April 5 Sold goods for Cash 40,000 April 21 Received from Mr. Kailash Chand 6,800 April 6 Received cash from Mr. Manohar 3,600 April 22 Paid for advertising 1,008 April 9 Paid into Bank 30,000 April 25 Purchased postage stamps 80 April 13 Paid cash to Harikrishan 2,150 April 28 Paid Rent 1,120 April 30 Paid electricity charges 150

Answer» Prepare Simple Cash Book from the following transactions of Suresh, Delhi:


2019		₹	2019		₹
April 1	Suresh commenced business with cash	80,000	April 17	Paid for stationery	200
April 3	He bought goods	50,000	April 18	Paid for office furniture	3,000
April 5	Sold goods for Cash	40,000	April 21	Received from Mr. Kailash Chand	6,800
April 6	Received cash from Mr. Manohar	3,600	April 22	Paid for advertising	1,008
April 9	Paid into Bank	30,000	April 25	Purchased postage stamps	80
April 13	Paid cash to Harikrishan	2,150	April 28	Paid Rent	1,120
			April 30	Paid electricity charges	150

Discussion

1056.	is a perfect square.
Answer» is a perfect square.

Discussion

1057.	Pythagorean triplet of 18
Answer» Pythagorean triplet of 18

Discussion

1058.	Which of the following is a linear equation in one variable?
Answer» Which of the following is a linear equation in one variable?

Discussion

1059.	In class VIII, the number of students increased and it was very hard to manage all the students in the same section. So class Teacher of the class decided to divide students into different sections. Number of students in section B was 8 more than Half the number of students in section A.Now, which of the following mapping diagram(s) represent(s) the above condition?
Answer» In class $V I I I$ , the number of students increased and it was very hard to manage all the students in the same section. So class Teacher of the class decided to divide students into different sections. Number of students in section $B$ was $8$ more than Half the number of students in section $A$ . Now, which of the following mapping diagram(s) represent(s) the above condition?

Discussion

1060.	Simplify the following expression:(x+2y)(4x−y)+(2x−y)(y−x)
Answer» Simplify the following expression: $(x + 2 y) (4 x - y) + (2 x - y) (y - x)$

Discussion

1061.	Diagonals of quadrilateral ABCD bisect each other and ∠B=75∘ ,then the value of ∠A is
Answer» Diagonals of quadrilateral ABCD bisect each other and $∠ B = 75^{\circ}$ ,then the value of $∠ A$ is

Discussion

1062.	Find the smallest number which must be added to 2300 so that it becomes a perfect square.
Answer» Find the smallest number which must be added to 2300 so that it becomes a perfect square.

Discussion

1063.	How long will it take a crew to clean a building with 100 windows if they clean 25 windows in an hour?
Answer» How long will it take a crew to clean a building with 100 windows if they clean 25 windows in an hour?

Discussion

1064.	Question 3(iii)Simplify:(t+s2)(t2−s)
Answer» Question 3(iii) Simplify: $(t + s^{2}) (t^{2} - s)$

Discussion

1065.	The value of (√225729−√25144)÷√1681 is
Answer» The value of $(\sqrt{\frac{225}{729}} - \sqrt{\frac{25}{144}}) \div \sqrt{\frac{16}{81}}$ is

Discussion

1066.	If 36 men can do a piece of work in 25 days, in how many day will 15 men do it?
Answer» If 36 men can do a piece of work in 25 days, in how many day will 15 men do it?

Discussion

1067.	Using tally marks, which one of the following represents the number eight?
Answer» Using tally marks, which one of the following represents the number eight?

Discussion

1068.	The length of a cuboid is twice its breadth. The breadth is twice its height. Then, find the ratio of the TSA to the square of the height of the cuboid.
Answer» The length of a cuboid is twice its breadth. The breadth is twice its height. Then, find the ratio of the TSA to the square of the height of the cuboid.

Discussion

1069.	Which of the following cannot be the unit digit of a perfect square number? (a) 6 (b) 1 (c) 9 (d) 8
Answer» Which of the following cannot be the unit digit of a perfect square number? (a) 6 (b) 1 (c) 9 (d) 8

Discussion

1070.	and B-0. b1where, a1, a2, аз, bl, b2 are integers from 1 to 9not necessarily distinct. Prove that 10989 × (A + B)is an integer.
Answer» and B-0. b1where, a1, a2, аз, bl, b2 are integers from 1 to 9not necessarily distinct. Prove that 10989 × (A + B)is an integer.

Discussion

1071.	The owner of a book shop charges his customer 28% more than the cost price. If a customer paid Rs 1,408 for some books. Then what was the cost price of the books?
Answer» The owner of a book shop charges his customer $28 %$ more than the cost price. If a customer paid Rs 1,408 for some books. Then what was the cost price of the books?

Discussion

1072.	Question 3 (g) Using divisibility test, determine whether the given number is divisible by 6: 1790184
Answer» Question 3 (g) Using divisibility test, determine whether the given number is divisible by 6: 1790184

1072.

Question 3 (g) Using divisibility test, determine whether the given number is divisible by 6: 1790184

Answer»

Question 3 (g)

Using divisibility test, determine whether the given number is divisible by 6:

1790184

Discussion

1073.	Approximate √6 to two decimal places.
Answer» Approximate $\sqrt{6}$ to two decimal places.

Discussion

1074.	Hari and Jawahar together bought a piece of land. Hari paid ₹12,50,000 while Jawahar paid ₹14,25,000. They both paid a commission to the broker who got them the land. Hari paid 2% of his amount and Jawahar paid 4% for his amount. How much total commission does the broker get?
Answer» Hari and Jawahar together bought a piece of land. Hari paid ₹12,50,000 while Jawahar paid ₹14,25,000. They both paid a commission to the broker who got them the land. Hari paid 2% of his amount and Jawahar paid 4% for his amount. How much total commission does the broker get?

Discussion

1075.	Consider the addition of numbers with different bases,(X)7+(Y)8+(W)10+(Z)=(K)9If X = 36, Y = 67, W = 98 and K = 241 then, Z is equal to
Answer» Consider the addition of numbers with different bases, $(X)_{7} + (Y)_{8} + (W)_{10} + (Z) = (K)_{9}$ If X = 36, Y = 67, W = 98 and K = 241 then, Z is equal to

Discussion

1076.	Question 92 (i)Factorise the following using the identity a2−b2=(a+b)(a−b).x2−9
Answer» Question 92 (i) Factorise the following using the identity $a^{2} - b^{2} = (a + b) (a - b) .$ $x^{2} - 9$

1076.

Question 92 (i)Factorise the following using the identity a2−b2=(a+b)(a−b).x2−9

Answer»

Question 92 (i)

Factorise the following using the identity $a^{2} - b^{2} = (a + b) (a - b) .$

$x^{2} - 9$

Discussion

1077.	A quadrilateral in which at least one pair of opposite sides is parallel is known as
Answer» A quadrilateral in which at least one pair of opposite sides is parallel is known as

Discussion

1078.	1386÷273=
Answer» $\frac{138}{6} \div \frac{27}{3} =$

Discussion

1079.	If X is placed in window number 3, then which window must W be placed in ?
Answer» If X is placed in window number 3, then which window must W be placed in ?

Discussion

1080.	Which of the following are the cubes of odd numbers? (i) 125 (ii) 343 (iii) 1728 (iv) 4096 (v) 9261
Answer» Which of the following are the cubes of odd numbers? (i) 125 (ii) 343 (iii) 1728 (iv) 4096 (v) 9261

Discussion

1081.	Question 17Avinash bought an electric iron for Rs 900 and sold it at a gain of 10%. He sold another electric iron at 5% loss which was bought Rs 1200. On the transaction, he has a(a) profit of Rs 75(b) loss of Rs 75(c) profit of Rs 30(d) loss of Rs 30
Answer» Question 17 Avinash bought an electric iron for Rs 900 and sold it at a gain of 10%. He sold another electric iron at 5% loss which was bought Rs 1200. On the transaction, he has a (a) profit of Rs 75 (b) loss of Rs 75 (c) profit of Rs 30 (d) loss of Rs 30

1081.

Question 17Avinash bought an electric iron for Rs 900 and sold it at a gain of 10%. He sold another electric iron at 5% loss which was bought Rs 1200. On the transaction, he has a(a) profit of Rs 75(b) loss of Rs 75(c) profit of Rs 30(d) loss of Rs 30

Answer»

Question 17

Avinash bought an electric iron for Rs 900 and sold it at a gain of 10%. He sold another electric iron at 5% loss which was bought Rs 1200. On the transaction, he has a

(a) profit of Rs 75

(b) loss of Rs 75

(c) profit of Rs 30

(d) loss of Rs 30

Discussion

1082.	Draw a number line and locate the following points on them:12,14,34,44
Answer» Draw a number line and locate the following points on them: $\frac{1}{2}, \frac{1}{4}, \frac{3}{4}, \frac{4}{4}$

1082.

Draw a number line and locate the following points on them:12,14,34,44

Answer»

Draw a number line and locate the following points on them:

$\frac{1}{2}, \frac{1}{4}, \frac{3}{4}, \frac{4}{4}$

Discussion

1083.	Factorise the expression: x2+5x−6
Answer» Factorise the expression: $x^{2} + 5 x - 6$

Discussion

1084.	A relation R is defined from {2,3,4,5} to {3,6,7,10} by : x R y is relatively prime to y.Then,domain of R is
Answer» A relation R is defined from {2,3,4,5} to {3,6,7,10} by : x R y <=> is relatively prime to y.Then,domain of R is

Discussion

1085.	Question 40Which of the following can never be the measure of the exterior angle of a regular polygon?a) 22∘b) 36∘c) 45∘d) 30∘
Answer» Question 40 Which of the following can never be the measure of the exterior angle of a regular polygon? a) $22^{\circ}$ b) $36^{\circ}$ c) $45^{\circ}$ d) $30^{\circ}$

Discussion

1086.	Question 28 If R is the radius of the base of the hat, then the total outer surface area of the hat is a) πr(2h+R) b) 2πr(h+R) c) 2πrh+πR2 d) None of these
Answer» Question 28 If R is the radius of the base of the hat, then the total outer surface area of the hat is a) $π r (2 h + R)$ b) $2 π r (h + R)$ c) $2 π r h + π R^{2}$ d) None of these

1086.

Question 28 If R is the radius of the base of the hat, then the total outer surface area of the hat is a) πr(2h+R) b) 2πr(h+R) c) 2πrh+πR2 d) None of these

Answer»

Question 28

If R is the radius of the base of the hat, then the total outer surface area of the hat is

a) $π r (2 h + R)$
b) $2 π r (h + R)$
c) $2 π r h + π R^{2}$
d) None of these

Discussion

1087.	If 24 cartons of equal size can be prepared by 54 kilos of iron filings. what amount of iron filings is required for each carton?
Answer» If 24 cartons of equal size can be prepared by 54 kilos of iron filings. what amount of iron filings is required for each carton?

Discussion

1088.	The students of grade 7 were dividied into two groups, group A and group B, such that each group consists of seven students. They were given a quiz and the marks obtained by students of both the groups are noted and represented as follows:With respect to the mode of the data, choose the correct option.
Answer» The students of grade $7$ were dividied into two groups, group $A$ and group $B$ , such that each group consists of seven students. They were given a quiz and the marks obtained by students of both the groups are noted and represented as follows: With respect to the mode of the data, choose the correct option.

Discussion

1089.	The indicates the amount by which an object is enlarged or reduced.
Answer» The indicates the amount by which an object is enlarged or reduced.

Discussion

1090.	Solve the following examples.(1) Find the height of an equilateral triangle having side 2a.(2) Do sides 7 cm, 24 cm, 25 cm form a right angled triangle ? Give reason.(3) Find the length a diagonal of a rectangle having sides 11 cm and 60 cm.(4) Find the length of the hypotenuse of a right angled triangle if remaining sides are 9 cm and 12 cm.(5) A side of an isosceles right angled triangle is x. Find its hypotenuse.(6) In ∆PQR; PQ = 8, QR = 5, PR = 3. Is ∆PQR a right angled triangle ? If yes, which angle is of 90°?
Answer» Solve the following examples. (1) Find the height of an equilateral triangle having side 2a. (2) Do sides 7 cm, 24 cm, 25 cm form a right angled triangle ? Give reason. (3) Find the length a diagonal of a rectangle having sides 11 cm and 60 cm. (4) Find the length of the hypotenuse of a right angled triangle if remaining sides are 9 cm and 12 cm. (5) A side of an isosceles right angled triangle is x. Find its hypotenuse. (6) In ∆PQR; PQ = $\sqrt{8}$ , QR = $\sqrt{5}$ , PR = $\sqrt{3}$ . Is ∆PQR a right angled triangle ? If yes, which angle is of 90°?

Discussion

1091.	Draw a rectangle ABCD such that l(AB) = 6.0 cm and l (BC) = 4.5 cm.
Answer» Draw a rectangle ABCD such that l(AB) = 6.0 cm and l (BC) = 4.5 cm.

Discussion

1092.	A cube has a volume of 216 cm3. The length of the side of the cube (in cm) is
Answer» A cube has a volume of 216 cm3. The length of the side of the cube (in cm) is

Discussion

1093.	Question 63Solve the following:12(x+1)+13(x−1)=512(x−2)
Answer» Question 63 Solve the following: $\frac{1}{2} (x + 1) + \frac{1}{3} (x - 1) = \frac{5}{12} (x - 2)$

1093.

Question 63Solve the following:12(x+1)+13(x−1)=512(x−2)

Answer»

Question 63

Solve the following:

$\frac{1}{2} (x + 1) + \frac{1}{3} (x - 1) = \frac{5}{12} (x - 2)$

Discussion

1094.	Range of f(X)=√(x-4)
Answer» Range of f(X)=√(x-4)

Discussion

1095.	Write down the number of edges of each of the following figures : (i) Tetrahedron (ii) Rectangular pyramid (iii) Cube (iv) Triangular prism.
Answer» Write down the number of edges of each of the following figures : (i) Tetrahedron (ii) Rectangular pyramid (iii) Cube (iv) Triangular prism.

Discussion

1096.	The upper limit of the class interval 150-200 is:
Answer» The upper limit of the class interval 150-200 is:

Discussion

1097.	Question 63 (i)How many faces does the following solid have?Tetrahedron
Answer» Question 63 (i) How many faces does the following solid have? Tetrahedron

Discussion

1098.	Construct a quadrilateral PQRS in which PQ = 5.4 cm, QR = 4.6 cm, R = 4.3 cm, SP = 3.5 cm and diagonal PR = 4 cm.
Answer» Construct a quadrilateral PQRS in which PQ = 5.4 cm, QR = 4.6 cm, R = 4.3 cm, SP = 3.5 cm and diagonal PR = 4 cm.

Discussion

1099.	Mr. Patel and his family drove through 6 states on a holiday trip. Petrol prices in different states are given below: 53 (Haryana), 48 (Punjab), 51.5 (Rajasthan), 52.25 (Gujarat), 52 (Delhi), 48.5 (Uttar Pradesh) What is the range of petrol prices?
Answer» Mr. Patel and his family drove through 6 states on a holiday trip. Petrol prices in different states are given below: 53 (Haryana), 48 (Punjab), 51.5 (Rajasthan), 52.25 (Gujarat), 52 (Delhi), 48.5 (Uttar Pradesh) What is the range of petrol prices?

Discussion

1100.	Which of the following set of numbers is a Pythagorean triplet?
Answer» Which of the following set of numbers is a Pythagorean triplet?

Discussion

Explore topic-wise InterviewSolutions in .

Question 40(ii)Study the given map of a zoo and answer the following questions.(D,f) and (C,d) represent locations of which animals in the zoo?

In the given figure, If line segment AB is parallel to the line segment CD, what is the value of y?(a) 12(b) 15(c) 18(d) 20

Find a terminating decimal number between Root 5 and Root 10.

Find the value of (66666)2.

is a perfect square.

Pythagorean triplet of 18

Which of the following is a linear equation in one variable?

Simplify the following expression:(x+2y)(4x−y)+(2x−y)(y−x)

Diagonals of quadrilateral ABCD bisect each other and ∠B=75∘ ,then the value of ∠A is

Find the smallest number which must be added to 2300 so that it becomes a perfect square.

How long will it take a crew to clean a building with 100 windows if they clean 25 windows in an hour?

Question 3(iii)Simplify:(t+s2)(t2−s)

The value of (√225729−√25144)÷√1681 is

If 36 men can do a piece of work in 25 days, in how many day will 15 men do it?

Using tally marks, which one of the following represents the number eight?

The length of a cuboid is twice its breadth. The breadth is twice its height. Then, find the ratio of the TSA to the square of the height of the cuboid.

Which of the following cannot be the unit digit of a perfect square number? (a) 6 (b) 1 ​​​​​​(c) ​9 ​​​​​​​(d) 8

and B-0. b1where, a1, a2, аз, bl, b2 are integers from 1 to 9not necessarily distinct. Prove that 10989 × (A + B)is an integer.

The owner of a book shop charges his customer 28% more than the cost price. If a customer paid Rs 1,408 for some books. Then what was the cost price of the books?

Question 3 (g) Using divisibility test, determine whether the given number is divisible by 6: 1790184

Approximate √6 to two decimal places.

Hari and Jawahar together bought a piece of land. Hari paid ₹12,50,000 while Jawahar paid ₹14,25,000. They both paid a commission to the broker who got them the land. Hari paid 2% of his amount and Jawahar paid 4% for his amount. How much total commission does the broker get?

Consider the addition of numbers with different bases,(X)7+(Y)8+(W)10+(Z)=(K)9If X = 36, Y = 67, W = 98 and K = 241 then, Z is equal to

Question 92 (i)Factorise the following using the identity a2−b2=(a+b)(a−b).x2−9

A quadrilateral in which at least one pair of opposite sides is parallel is known as

1386÷273=

If X is placed in window number 3, then which window must W be placed in ?

Which of the following are the cubes of odd numbers? (i) 125 (ii) 343 (iii) 1728 (iv) 4096 (v) 9261

Question 17Avinash bought an electric iron for Rs 900 and sold it at a gain of 10%. He sold another electric iron at 5% loss which was bought Rs 1200. On the transaction, he has a(a) profit of Rs 75(b) loss of Rs 75(c) profit of Rs 30(d) loss of Rs 30

Draw a number line and locate the following points on them:12,14,34,44

Factorise the expression: x2+5x−6

A relation R is defined from {2,3,4,5} to {3,6,7,10} by : x R y is relatively prime to y.Then,domain of R is

Question 40Which of the following can never be the measure of the exterior angle of a regular polygon?a) 22∘b) 36∘c) 45∘d) 30∘

Question 28 If R is the radius of the base of the hat, then the total outer surface area of the hat is a) πr(2h+R) b) 2πr(h+R) c) 2πrh+πR2 d) None of these

If 24 cartons of equal size can be prepared by 54 kilos of iron filings. what amount of iron filings is required for each carton?

The indicates the amount by which an object is enlarged or reduced.

Draw a rectangle ABCD such that l(AB) = 6.0 cm and l (BC) = 4.5 cm.

A cube has a volume of 216 cm3. The length of the side of the cube (in cm) is

Question 63Solve the following:12(x+1)+13(x−1)=512(x−2)

Range of f(X)=√(x-4)

Write down the number of edges of each of the following figures : (i) Tetrahedron (ii) Rectangular pyramid (iii) Cube (iv) Triangular prism.

The upper limit of the class interval 150-200 is:

Question 63 (i)How many faces does the following solid have?Tetrahedron

Construct a quadrilateral PQRS in which PQ = 5.4 cm, QR = 4.6 cm, R = 4.3 cm, SP = 3.5 cm and diagonal PR = 4 cm.

Mr. Patel and his family drove through 6 states on a holiday trip. Petrol prices in different states are given below: 53 (Haryana), 48 (Punjab), 51.5 (Rajasthan), 52.25 (Gujarat), 52 (Delhi), 48.5 (Uttar Pradesh) What is the range of petrol prices?

Which of the following set of numbers is a Pythagorean triplet?

Which of the following cannot be the unit digit of a perfect square number? (a) 6 (b) 1 (c) 9 (d) 8