25365 + Interview Questions in Mathematics Page 204 InterviewSolution

10151.	Factorise the following expressions and write them in the product form. (i) 201 a3 b2 , (ii) 91 xyt2 , (iii) 24 a2 b2 , (iv) tr2 s3
Answer» Factorise the following expressions and write them in the product form. (i) 201 a³ b², (ii) 91 xyt² , (iii) 24 a² b² , (iv) tr² s³

Discussion

10152.	Question 1(h)State whether the given expression is an equation or not.Give reason for your answer. Identify the variable in the given expression.2n + 1 = 11
Answer» Question 1(h) State whether the given expression is an equation or not.Give reason for your answer. Identify the variable in the given expression. 2n + 1 = 11

10152.

Question 1(h)State whether the given expression is an equation or not.Give reason for your answer. Identify the variable in the given expression.2n + 1 = 11

Answer»

Question 1(h)

State whether the given expression is an equation or not.Give reason for your answer. Identify the variable in the given expression.

2n + 1 = 11

Discussion

10153.	Question 5(iii)Obtain the product of:2,4y,8y2,16y3
Answer» Question 5(iii) Obtain the product of: $2, 4 y, 8 y^{2}, 16 y^{3}$

Discussion

10154.	Thirty children were asked about the number of hours they watched TV programmes in the previous week. The results were found as follows:1623512584810341228151176328596871412Make a grouped frequency distribution table for this data, taking class width 5 and one of the class intervals as 5- 10.
Answer» Thirty children were asked about the number of hours they watched TV programmes in the previous week. The results were found as follows: $\begin{matrix} 1 & 6 & 2 & 3 & 5 & 12 & 5 & 8 & 4 & 8 10 & 3 & 4 & 12 & 2 & 8 & 15 & 1 & 17 & 6 3 & 2 & 8 & 5 & 9 & 6 & 8 & 7 & 14 & 12 \end{matrix}$ Make a grouped frequency distribution table for this data, taking class width 5 and one of the class intervals as 5- 10.

Discussion

10155.	Factorise: y2+19y+60
Answer» Factorise: $y^{2} + 19 y + 60$

Discussion

10156.	Factorise x2−2x+1−x+1.
Answer» Factorise $x^{2} - 2 x + 1 - x + 1$ .

Discussion

10157.	Question 85The rational number 5723 lies to the left of zero on the number line.
Answer» Question 85 The rational number $\frac{57}{23}$ lies to the left of zero on the number line.

Discussion

10158.	The value of the variable after solving the equation 2x + 3 = 3x + 2 is ___.
Answer» The value of the variable after solving the equation 2x + 3 = 3x + 2 is ___.

Discussion

10159.	Question 5 If 90% of x is 315 km, then the value of x is (a) 325 km (b) 350 km (c) 350 m (d) 325 m
Answer» Question 5 If 90% of x is 315 km, then the value of x is (a) 325 km (b) 350 km (c) 350 m (d) 325 m

Discussion

10160.	Which of the following is equal to (x+2)(x+3)?
Answer» Which of the following is equal to $(x + 2) (x + 3) ?$

10160.

Which of the following is equal to (x+2)(x+3)?

Answer»

Which of the following is equal to $(x + 2) (x + 3) ?$

Discussion

10161.	Find the length of PQ (in m) from the given figure:25
Answer» Find the length of PQ (in m) from the given figure: 25

Discussion

10162.	Construct a triangle ABC in which BC=7 cm, ∠B=75∘ and AB+AC=13 cm
Answer» Construct a triangle ABC in which $B C = 7 c m, ∠ B = 75^{\circ} a n d A B + A C = 13 c m$

Discussion

10163.	Question 3The shape of a garden is rectangular in the middle and semi-circular at the ends as shown in the diagram. Find the area and the perimeter of this garden [Length of rectangle is 20 - (3.5 + 3.5 meters)]
Answer» Question 3 The shape of a garden is rectangular in the middle and semi-circular at the ends as shown in the diagram. Find the area and the perimeter of this garden [Length of rectangle is 20 - (3.5 + 3.5 meters)]

Discussion

10164.	B × A = {(x, a), (x, b), (x, c), (y, a), (y, b), (y, c), (z, a), (z, b), (z, c)}. Find set A and set B.
Answer» B $\times$ A = {(x, a), (x, b), (x, c), (y, a), (y, b), (y, c), (z, a), (z, b), (z, c)}. Find set A and set B.

Discussion

10165.	how can represent \surd5 on number line ?
Answer» how can represent \surd5 on number line ?

Discussion

10166.	1.The range of a rifle bullet on level ground is 6000m. The range at an incline of 30 degree is: 1. 4000m 2. 2000m 3. 2000m 4. 1000m Which is the correct option?
Answer» 1.The range of a rifle bullet on level ground is 6000m. The range at an incline of 30 degree is: 1. 4000m 2. 2000m 3. 2000m 4. 1000m Which is the correct option?

Discussion

10167.

Prepare Simple Cash Book from the following transactions of Simran, Delhi: 2018 ₹ 2018 ₹ March 1 Ms. Simran commenced business with cash 65,000 March 17 Paid for miscellaneous expenses 450 March 3 Bought goods for cash, CGST and SGST paid 6% cash 6,850 March 19 Received cash from Mr.Trilok Chand 4,850 March 4 Paid cash to Mr. Mohan 950 March 22 Purchased goods, CGST and SGST paid 6% each 2,500 March 6 Deposited in Bank 40,000 March 22 Paid salary 4,000 March 6 Paid for office furniture in cash, CGST and SGST paid 6% each 4,650 March 25 Paid rent, CGST and SGST paid 6% each 900 March 9 Sold goods for cash charged CGST and SGST 6% each 30,000 March 28 Paid electricity bill 350 March 12 Paid wages in cash 1,200 March 29 Paid for advertising, CGST and SGST paid 6% each 400 March 13 Paid for Stationery, CGST and SGST paid 6% each 400 March 31 Paid into bank 25,000 March 15 Sold goods for cash, charged CGST and SGST 6% each 25,000

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


2018		₹	2018		₹
March 1	Ms. Simran commenced business with cash	65,000	March 17	Paid for miscellaneous expenses	450
March 3	Bought goods for cash, CGST and SGST paid 6% cash	6,850	March 19	Received cash from Mr.Trilok Chand	4,850
March 4	Paid cash to Mr. Mohan	950	March 22	Purchased goods, CGST and SGST paid 6% each	2,500
March 6	Deposited in Bank	40,000	March 22	Paid salary	4,000
March 6	Paid for office furniture in cash, CGST and SGST paid 6% each	4,650	March 25	Paid rent, CGST and SGST paid 6% each	900
March 9	Sold goods for cash charged CGST and SGST 6% each	30,000	March 28	Paid electricity bill	350
March 12	Paid wages in cash	1,200	March 29	Paid for advertising, CGST and SGST paid 6% each	400
March 13	Paid for Stationery, CGST and SGST paid 6% each	400	March 31	Paid into bank	25,000
March 15	Sold goods for cash, charged CGST and SGST 6% each	25,000

Discussion

10168.	8. Prove that the square of any positive integer is of the form 5q, 5q + 1, 5q +4 for some integer g/
Answer» 8. Prove that the square of any positive integer is of the form 5q, 5q + 1, 5q +4 for some integer g/

Discussion

10169.	Four alternative options are given for each of the following statements. Select the correct option.The marked price of an article is Rs 200. If 15% of discount is allowed on it, its selling price is:A. Rs 185B. Rs 170C. Rs 215D. Rs 175
Answer» Four alternative options are given for each of the following statements. Select the correct option. The marked price of an article is Rs 200. If 15% of discount is allowed on it, its selling price is: A. Rs 185 B. Rs 170 C. Rs 215 D. Rs 175

10169.

Four alternative options are given for each of the following statements. Select the correct option.The marked price of an article is Rs 200. If 15% of discount is allowed on it, its selling price is:A. Rs 185B. Rs 170C. Rs 215D. Rs 175

Answer»

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

Select the correct option.

The marked price of an article is Rs 200. If 15% of discount is allowed on it, its selling price is:

A. Rs 185

B. Rs 170

C. Rs 215

D. Rs 175

Discussion

10170.	In an isosceles triangle AB = AC and BA is produced to D, such that AB = AD. What is the value of ∠BCD?
Answer» In an isosceles triangle AB = AC and BA is produced to D, such that AB = AD. What is the value of $∠ B C D$ ?

Discussion

10171.	(a) What is the minimum interior angle possible for a regular polygon?(b) What is the maximum exterior angle possible for a regular polygon?
Answer» (a) What is the minimum interior angle possible for a regular polygon? (b) What is the maximum exterior angle possible for a regular polygon?

10171.

(a) What is the minimum interior angle possible for a regular polygon?(b) What is the maximum exterior angle possible for a regular polygon?

Answer»

(a) What is the minimum interior angle possible for a regular polygon?

(b) What is the maximum exterior angle possible for a regular polygon?

Discussion

10172.	If you start at (1, 1) on a coordinate system and move 5 up and then 6 right, where do you end up?
Answer» If you start at (1, 1) on a coordinate system and move 5 up and then 6 right, where do you end up?

Discussion

10173.	Statement 1: Two congruent triangles have equal areas.Statement 2: Any two triangles with equal areas are always congruent.Pick the correct option:
Answer» Statement 1: Two congruent triangles have equal areas. Statement 2: Any two triangles with equal areas are always congruent. Pick the correct option:

10173.

Statement 1: Two congruent triangles have equal areas.Statement 2: Any two triangles with equal areas are always congruent.Pick the correct option:

Answer»

Statement 1: Two congruent triangles have equal areas.

Statement 2: Any two triangles with equal areas are always congruent.

Pick the correct option:

Discussion

10174.	A cistern contains 5 thousand litres of water. If 6% water is leaked, find how many litres of water would be left in the cistern.
Answer» A cistern contains 5 thousand litres of water. If 6% water is leaked, find how many litres of water would be left in the cistern.

Discussion

10175.	There are 9 x 10 ^ 6 crystals in 2 kgs of sugar how many crystals will be there in 5 kgs of sugar
Answer» There are 9 x 10 ^ 6 crystals in 2 kgs of sugar how many crystals will be there in 5 kgs of sugar

Discussion

10176.	Question 108 Solve the following question: Find the greatest number of three digits that is a perfect square.
Answer» Question 108 Solve the following question: Find the greatest number of three digits that is a perfect square.

10176.

Question 108 Solve the following question: Find the greatest number of three digits that is a perfect square.

Answer»

Question 108

Solve the following question:

Find the greatest number of three digits that is a perfect square.

Discussion

10177.	12. Draw a Δ abc with AB=6cm ,BC=8cm ,
Answer» 12. Draw a Δ abc with AB=6cm ,BC=8cm ,

Discussion

10178.	What is the minimum number we need to multiply with 392 to make it a perfect cube?
Answer» What is the minimum number we need to multiply with 392 to make it a perfect cube?

Discussion

10179.	If x−1x=2, Then the value of x2+1x2 will be
Answer» If $x - \frac{1}{x} = 2$ , Then the value of $x^{2} + \frac{1}{x^{2}}$ will be

Discussion

10180.	Cost of 1 mango is 3 times the cost of 1 Orange. Rishikesh bought 4 mangoes and 4 oranges. The total amount spent is 320 Rupees. What is the cost of 1 orange?
Answer» Cost of 1 mango is 3 times the cost of 1 Orange. Rishikesh bought 4 mangoes and 4 oranges. The total amount spent is 320 Rupees. What is the cost of 1 orange?

Discussion

10181.	If 2x+3=5 , then find --> (-2x-3)+(-2x+3) = ? and find the value of x also ?
Answer» If 2x+3=5 , then find --> (-2x-3)+(-2x+3) = ? and find the value of x also ?

Discussion

10182.	28 is divided into two parts in such a way that 65 of one part is equal to 23 of the other. What would be the smaller part?
Answer» 28 is divided into two parts in such a way that $\frac{6}{5}$ of one part is equal to $\frac{2}{3}$ of the other. What would be the smaller part?

Discussion

10183.	Question 2(ii)A group of 360 people were asked to vote for their favourite season from the seasons rainy, winter and summer.Find the central angle of each sector.
Answer» Question 2(ii) A group of 360 people were asked to vote for their favourite season from the seasons rainy, winter and summer. Find the central angle of each sector.

Discussion

10184.	What is the shape formed by the given net?
Answer» What is the shape formed by the given net?

Discussion

10185.	Question 112 State whether the statements are True or False. Diagonals of a rectangle bisect each other at right angles.
Answer» Question 112 State whether the statements are True or False. Diagonals of a rectangle bisect each other at right angles.

Discussion

10186.	If volume of the cube is 343 m3 then find the side of the cube
Answer» If volume of the cube is 343 $m^{3}$ then find the side of the cube

Discussion

10187.	In a mixture of 60 litres, the ratio of milk and water is 2:1. If this ratio is to be 1:2, then the quanity of water to be further added in litres is:
Answer» In a mixture of 60 litres, the ratio of milk and water is 2:1. If this ratio is to be 1:2, then the quanity of water to be further added in litres is:

Discussion

10188.	Find the height of the cylinder whose volume if 1.54 m3 and diameter of the base is 140 cm.
Answer» Find the height of the cylinder whose volume if $1.54 m^{3}$ and diameter of the base is 140 cm.

Discussion

10189.	A bar graph showing two sets of data simultaneously is known as
Answer» A bar graph showing two sets of data simultaneously is known as

Discussion

10190.	Class mark of a certain class interval is 30 and its lower class limit is 20. Then its upper class limit is
Answer» Class mark of a certain class interval is 30 and its lower class limit is 20. Then its upper class limit is

Discussion

10191.	A can do a piece of a work in 7 days, A and B can do the work together in 6 days. If B alone does the work how many days does he require?
Answer» A can do a piece of a work in 7 days, A and B can do the work together in 6 days. If B alone does the work how many days does he require?

Discussion

10192.	Rita has to solve the equation x−67+x+79=x4. If she solves this correctly, she will get the solution as20
Answer» Rita has to solve the equation $\frac{x - 6}{7} + \frac{x + 7}{9} = \frac{x}{4}$ . If she solves this correctly, she will get the solution as 20

Discussion

10193.	Find the multiplicative inverses of the following rational numbers:.
Answer» Find the multiplicative inverses of the following rational numbers: .

10193.

Find the multiplicative inverses of the following rational numbers:.

Answer»

Find the multiplicative inverses of the following rational numbers:

.

Discussion

10194.	Sohan bought a second-hand refrigerator for ₹ 2500 and spent ₹ 1500 on repairs. He then sold it for ₹ 3300. What is the gain or loss%?
Answer» Sohan bought a second-hand refrigerator for ₹ 2500 and spent ₹ 1500 on repairs. He then sold it for ₹ 3300. What is the gain or loss%?

Discussion

10195.	A shopkeeper offers 15% season discount to the customers and still makes a profit of 19%. What is the cost price for the shopkeeper on a saree marked at Rs 2,240 ?
Answer» A shopkeeper offers 15% season discount to the customers and still makes a profit of 19%. What is the cost price for the shopkeeper on a saree marked at Rs 2,240 ?

Discussion

10196.	The value of (27×125)13 is __.
Answer» The value of $(27 \times 125)^{\frac{1}{3}}$ is __.

Discussion

10197.	Find the value of following polynomials at m = -1, n = 0 and p = 1;(i) m + n + p(ii) m2n2+n2p2+p2m2
Answer» Find the value of following polynomials at m = -1, n = 0 and p = 1; (i) m + n + p (ii) $m^{2} n^{2} + n^{2} p^{2} + p^{2} m^{2}$

Discussion

10198.	The sides of a quadrilateral ABCD taken in order are 6 cm, 8 cm, 12 cm and 14 cm respectively and the angle between the first two sides is a right angle. Find its area. (Given, 6=2.45).
Answer» The sides of a quadrilateral ABCD taken in order are 6 cm, 8 cm, 12 cm and 14 cm respectively and the angle between the first two sides is a right angle. Find its area. (Given, $\sqrt{6} = 2.45$ ).

Discussion

10199.	In the given figure, a podium is shown, whose each face is rectangular. Find its volume (in cm3).
Answer» In the given figure, a podium is shown, whose each face is rectangular. Find its volume (in $c m^{3}$ ).

Discussion

10200.	How to find the size of class interval
Answer» How to find the size of class interval

Discussion

Explore topic-wise InterviewSolutions in .

Factorise the following expressions and write them in the product form. (i) 201 a3 b2 , (ii) 91 xyt2 , (iii) 24 a2 b2 , (iv) tr2 s3

Question 1(h)State whether the given expression is an equation or not.Give reason for your answer. Identify the variable in the given expression.2n + 1 = 11

Question 5(iii)Obtain the product of:2,4y,8y2,16y3

Thirty children were asked about the number of hours they watched TV programmes in the previous week. The results were found as follows:1623512584810341228151176328596871412Make a grouped frequency distribution table for this data, taking class width 5 and one of the class intervals as 5- 10.

Factorise: y2+19y+60

Factorise x2−2x+1−x+1.

Question 85The rational number 5723 lies to the left of zero on the number line.

The value of the variable after solving the equation 2x + 3 = 3x + 2 is ___.

Question 5 If 90% of x is 315 km, then the value of x is (a) 325 km (b) 350 km (c) 350 m (d) 325 m

Which of the following is equal to (x+2)(x+3)?

Find the length of PQ (in m) from the given figure:25

Construct a triangle ABC in which BC=7 cm, ∠B=75∘ and AB+AC=13 cm

Question 3The shape of a garden is rectangular in the middle and semi-circular at the ends as shown in the diagram. Find the area and the perimeter of this garden [Length of rectangle is 20 - (3.5 + 3.5 meters)]

B × A = {(x, a), (x, b), (x, c), (y, a), (y, b), (y, c), (z, a), (z, b), (z, c)}. Find set A and set B.

how can represent \surd5 on number line ?

1.The range of a rifle bullet on level ground is 6000m. The range at an incline of 30 degree is: 1. 4000m 2. 2000m 3. 2000m 4. 1000m Which is the correct option?

8. Prove that the square of any positive integer is of the form 5q, 5q + 1, 5q +4 for some integer g/

Four alternative options are given for each of the following statements. Select the correct option.The marked price of an article is Rs 200. If 15% of discount is allowed on it, its selling price is:A. Rs 185B. Rs 170C. Rs 215D. Rs 175

In an isosceles triangle AB = AC and BA is produced to D, such that AB = AD. What is the value of ∠BCD?

(a) What is the minimum interior angle possible for a regular polygon?(b) What is the maximum exterior angle possible for a regular polygon?

If you start at (1, 1) on a coordinate system and move 5 up and then 6 right, where do you end up?

Statement 1: Two congruent triangles have equal areas.Statement 2: Any two triangles with equal areas are always congruent.Pick the correct option:

A cistern contains 5 thousand litres of water. If 6% water is leaked, find how many litres of water would be left in the cistern.

There are 9 x 10 ^ 6 crystals in 2 kgs of sugar how many crystals will be there in 5 kgs of sugar

Question 108 Solve the following question: Find the greatest number of three digits that is a perfect square.

12. Draw a Δ abc with AB=6cm ,BC=8cm ,

What is the minimum number we need to multiply with 392 to make it a perfect cube?

If x−1x=2, Then the value of x2+1x2 will be

Cost of 1 mango is 3 times the cost of 1 Orange. Rishikesh bought 4 mangoes and 4 oranges. The total amount spent is 320 Rupees. What is the cost of 1 orange?

If 2x+3=5 , then find --> (-2x-3)+(-2x+3) = ? and find the value of x also ?

28 is divided into two parts in such a way that 65 of one part is equal to 23 of the other. What would be the smaller part?

Question 2(ii)A group of 360 people were asked to vote for their favourite season from the seasons rainy, winter and summer.Find the central angle of each sector.

What is the shape formed by the given net?

Question 112 State whether the statements are True or False. Diagonals of a rectangle bisect each other at right angles.

If volume of the cube is 343 m3 then find the side of the cube

In a mixture of 60 litres, the ratio of milk and water is 2:1. If this ratio is to be 1:2, then the quanity of water to be further added in litres is:

Find the height of the cylinder whose volume if 1.54 m3 and diameter of the base is 140 cm.

A bar graph showing two sets of data simultaneously is known as

Class mark of a certain class interval is 30 and its lower class limit is 20. Then its upper class limit is

A can do a piece of a work in 7 days, A and B can do the work together in 6 days. If B alone does the work how many days does he require?

Rita has to solve the equation x−67+x+79=x4. If she solves this correctly, she will get the solution as20

Find the multiplicative inverses of the following rational numbers:.

Sohan bought a second-hand refrigerator for ₹ 2500 and spent ₹ 1500 on repairs. He then sold it for ₹ 3300. What is the gain or loss%?

A shopkeeper offers 15% season discount to the customers and still makes a profit of 19%. What is the cost price for the shopkeeper on a saree marked at Rs 2,240 ?

The value of (27×125)13 is __.

Find the value of following polynomials at m = -1, n = 0 and p = 1;(i) m + n + p(ii) m2n2+n2p2+p2m2

The sides of a quadrilateral ABCD taken in order are 6 cm, 8 cm, 12 cm and 14 cm respectively and the angle between the first two sides is a right angle. Find its area. (Given, 6=2.45).

In the given figure, a podium is shown, whose each face is rectangular. Find its volume (in cm3).

How to find the size of class interval