25365 + Interview Questions in Mathematics Page 80 InterviewSolution

3951.	The area of a rectangle is given by the expression p(4p2−16). If the length of the rectangle is 4p(p−2), then find the expression for the breadth of the rectangle.
Answer» The area of a rectangle is given by the expression $p (4 p^{2} - 16)$ . If the length of the rectangle is $4 p (p - 2)$ , then find the expression for the breadth of the rectangle.

Discussion

3952.

Write the following transactions in a Two Column Cash Book and balance the Cash Book:− 2013 (₹) Jan. 1 Cash in hand 6,000 Bank Balance (Cr) 3,000 3 Deposited into Bank 2,000 5 Received from Mohan 400 Discount allowed 10 7 Received a cheque from Hari and sent it to bank 600 9 Received a cheque from Prem Mohan 1,600 Discount allowed 25 12 Withdrew from bank for office use 300 13 Bought goods for cash 600 14 Sold goods for cash 1,200 16 Paid to Ganesh by cheque 494 Discount received 6 18 Prem Mohan's cheque deposited in the bank 20 Sold goods to Gopal for ₹ 1,500 for which he gave cash ₹ 800 and a cheque of ₹ 700. 22 Deposited into bank (including Gopal's cheque) 900 24 Paid rent by cheque 150 25 Withdrew from bank for personal use 200 28 Bank notifies that Prem Mohan's cheque was dishonoured 30 Received from Anil ₹ 270 in cash and ₹ 540 by cheque. Discount Allowed ₹ 90. The cheque was deposited into bank. 31 Bank charges as shown in Pass Book 5 Paid Salary 500

Answer» Write the following transactions in a Two Column Cash Book and balance the Cash Book:−

2013		(₹)
Jan. 1	Cash in hand	6,000
	Bank Balance (Cr)	3,000
3	Deposited into Bank	2,000
5	Received from Mohan	400
	Discount allowed	10
7	Received a cheque from Hari and sent it to bank	600
9	Received a cheque from Prem Mohan	1,600
	Discount allowed	25
12	Withdrew from bank for office use	300
13	Bought goods for cash	600
14	Sold goods for cash	1,200
16	Paid to Ganesh by cheque	494
	Discount received	6
18	Prem Mohan's cheque deposited in the bank
20	Sold goods to Gopal for ₹ 1,500 for which he gave cash ₹ 800 and a cheque of ₹ 700.
22	Deposited into bank (including Gopal's cheque)	900
24	Paid rent by cheque	150
25	Withdrew from bank for personal use	200
28	Bank notifies that Prem Mohan's cheque was dishonoured
30	Received from Anil ₹ 270 in cash and ₹ 540 by cheque.
	Discount Allowed ₹ 90.
	The cheque was deposited into bank.
31	Bank charges as shown in Pass Book	5
	Paid Salary	500

Discussion

3953.	Question 13If x + y + z = 0, show that x3+y3+z3=3xyz.
Answer» Question 13 If x + y + z = 0, show that $x^{3} + y^{3} + z^{3} = 3 x y z .$

Discussion

3954.	A and B can finish a piece of work in 16 days and 12 days respectively. A started the work and worked at it for 2 days. He was then Joined by B. Find the total time taken to finish the work.
Answer» A and B can finish a piece of work in 16 days and 12 days respectively. A started the work and worked at it for 2 days. He was then Joined by B. Find the total time taken to finish the work.

Discussion

3955.

Record the following transactions during the week ending January. 30, 2017 with a weekly imprest Rs 500 Rs 24 Stationery 100 25 Bus fare 12 25 Cartage 40 26 Taxi fare 80 27 Wages to casual labour 90 29 Postage 80

Answer»

Record the following transactions during the week ending January. 30, 2017 with a weekly imprest Rs 500

		Rs
24	Stationery	100
25	Bus fare	12
25	Cartage	40
26	Taxi fare	80
27	Wages to casual labour	90
29	Postage	80

Discussion

3956.	How cardinality of a proper subset is=2^n-1
Answer» How cardinality of a proper subset is=2^n-1

Discussion

3957.	The total surface area of a cylinder is 6512 cm2 and the circumference of its base is 88 cm. Find its height.
Answer» The total surface area of a cylinder is 6512 $c m^{2}$ and the circumference of its base is 88 cm. Find its height.

Discussion

3958.	Question 52(v) The graph given below gives the actual and expected sales of cars of a company for 6 months. Study the graph and answer the questions that follow. What is the average sales of cars in the last three months?
Answer» Question 52(v) The graph given below gives the actual and expected sales of cars of a company for 6 months. Study the graph and answer the questions that follow. What is the average sales of cars in the last three months?

Discussion

3959.	Which of the following holds true?
Answer» Which of the following holds true?

Discussion

3960.	Mention the different types of figures. Illustrtate with diagrams.
Answer» Mention the different types of figures. Illustrtate with diagrams.

Discussion

3961.	Question 12If the radius of a cylinder is tripled but its curved surface area is unchanged, then its height will be(a) tripled (b) constant(c) one-sixth (d) one-third
Answer» Question 12 If the radius of a cylinder is tripled but its curved surface area is unchanged, then its height will be (a) tripled (b) constant (c) one-sixth (d) one-third

3961.

Question 12If the radius of a cylinder is tripled but its curved surface area is unchanged, then its height will be(a) tripled (b) constant(c) one-sixth (d) one-third

Answer»

Question 12

If the radius of a cylinder is tripled but its curved surface area is unchanged, then its height will be

(a) tripled (b) constant

(c) one-sixth (d) one-third

Discussion

3962.	Question 84(iv) The two graph below compares car A and car B. The left graph shows the relationship between age and value. The right graph shows the relationship between size and maximum speed. Use the graph to determine whether the given statement is true or false and explain your answer. The faster car is older.
Answer» Question 84(iv) The two graph below compares car A and car B. The left graph shows the relationship between age and value. The right graph shows the relationship between size and maximum speed. Use the graph to determine whether the given statement is true or false and explain your answer. The faster car is older.

Discussion

3963.	Should the polynomial be only quadratic if we factorise the term by "splitting the middle term" method?
Answer» Should the polynomial be only quadratic if we factorise the term by "splitting the middle term" method?

Discussion

3964.	Construct ☐ PQRS, such that l(PQ) = 3.5 cm, l(QR) = 5.6 cm, l(RS) = 3.5 cm, m∠Q = 110°, m∠R = 70°.If it is given that ☐ PQRS is a parallelogram, which of the given information is unnecessary?
Answer» Construct ☐ PQRS, such that l(PQ) = 3.5 cm, l(QR) = 5.6 cm, l(RS) = 3.5 cm, m∠Q = 110 $°$ , m∠R = 70 $°$ . If it is given that ☐ PQRS is a parallelogram, which of the given information is unnecessary?

Discussion

3965.	Find the average speed of car A over the duration of 10 to 40 minutes.
Answer» Find the average speed of car A over the duration of 10 to 40 minutes.

Discussion

3966.	Which of the following is/are true about kite?i) Kite is a type of parallelogram.ii) The diagonals of a kite are perpendicular to each other.iii) The diagonals of a kite bisect each other.iv) One pair of opposite angles is equal to each other.
Answer» Which of the following is/are true about kite? i) Kite is a type of parallelogram. ii) The diagonals of a kite are perpendicular to each other. iii) The diagonals of a kite bisect each other. iv) One pair of opposite angles is equal to each other.

3966.

Which of the following is/are true about kite?i) Kite is a type of parallelogram.ii) The diagonals of a kite are perpendicular to each other.iii) The diagonals of a kite bisect each other.iv) One pair of opposite angles is equal to each other.

Answer»

Which of the following is/are true about kite?

i) Kite is a type of parallelogram.

ii) The diagonals of a kite are perpendicular to each other.

iii) The diagonals of a kite bisect each other.

iv) One pair of opposite angles is equal to each other.

Discussion

3967.	Construct a quadrilateral ABCD in which AB = 4 cm, AC = 5 cm, AD = 5.5 cm and ∠ABC=∠ACD=90∘.
Answer» Construct a quadrilateral ABCD in which AB = 4 cm, AC = 5 cm, AD = 5.5 cm and $∠ A B C = ∠ A C D = 90^{\circ}$ .

Discussion

3968.	Question 25Fill in the blanks to make the statements true.There are ___ perfect squares between 1 and 100.
Answer» Question 25 Fill in the blanks to make the statements true. There are ___ perfect squares between 1 and 100.

3968.

Question 25Fill in the blanks to make the statements true.There are ___ perfect squares between 1 and 100.

Answer»

Question 25

Fill in the blanks to make the statements true.

There are ___ perfect squares between 1 and 100.

Discussion

3969.	A classroom is 11 m long, 8 m wide and 5 m high. Find the sum of the areas of its floor and the four walls (including doors, windows etc.)
Answer» A classroom is 11 m long, 8 m wide and 5 m high. Find the sum of the areas of its floor and the four walls (including doors, windows etc.)

Discussion

3970.	A solid piece of metal in the form of cuboid of dimensions 24cm * 18 cm * 4 cm * is melted to the form and recasted into a CUBE. Find the length area of each edge of the cube.
Answer» A solid piece of metal in the form of cuboid of dimensions 24cm * 18 cm * 4 cm * is melted to the form and recasted into a CUBE. Find the length area of each edge of the cube.

Discussion

3971.	If 3x + 2y = 12 and xy = 6, find the value of 9x2+4y2
Answer» If 3x + 2y = 12 and xy = 6, find the value of $9 x^{2} + 4 y^{2}$

Discussion

3972.	Using suitable identities, evalute 497×505.
Answer» Using suitable identities, evalute $497 \times 505$ .

Discussion

3973.	Question 80 State whether the following statement is true or false: Cube of an odd number is odd.
Answer» Question 80 State whether the following statement is true or false: Cube of an odd number is odd.

3973.

Question 80 State whether the following statement is true or false: Cube of an odd number is odd.

Answer»

Question 80

State whether the following statement is true or false:

Cube of an odd number is odd.

Discussion

3974.	Which of the following pairs of sets are equal? Justify your answer.(i) X, the set of letters in ALLOY and B, the set of letters in LOYAL(ii) A={n:n∈Z and n2≤4} and B={x:x∈R and x2−3x+2=0}
Answer» Which of the following pairs of sets are equal? Justify your answer. $(i) X,$ the set of letters in $A L L O Y$ and $B,$ the set of letters in $L O Y A L$ $(i i) A = {n : n \in Z$ and $n^{2} \leq 4}$ and $B = {x : x \in R$ and $x^{2} - 3 x + 2 = 0}$

Discussion

3975.	The diameter on a certain sum of money is Rs. 1480 in 2 years and at 10 per ceny per year. Find the sum of money.
Answer» The diameter on a certain sum of money is Rs. 1480 in 2 years and at 10 per ceny per year. Find the sum of money.

3975.

The diameter on a certain sum of money is Rs. 1480 in 2 years and at 10 per ceny per year. Find the sum of money.

Answer»

The diameter on a certain sum of money is Rs. 1480 in 2 years and at 10 per ceny per year. Find the sum of money.

Discussion

3976.	If the radii of two wheels are in the ratio 3:7, then the ratio of their areas is:
Answer» If the radii of two wheels are in the ratio $3 : 7,$ then the ratio of their areas is:

Discussion

3977.	Question 2Draw a parallelogram ABCD in which BC=5 cm, AB = 3 and ∠ABC=60∘ divide it into triangle BCD and ABD by the diagonal BD. Construct the triangle BD’C' similar to ΔBDC with scale factor 43. Draw the line segment D’A’ parallel to DA, where A’ lies on extended side BA, Is A’ BC’ D’ a parallelogram?
Answer» Question 2 Draw a parallelogram ABCD in which BC=5 cm, AB = 3 and $∠ A B C = 60^{\circ}$ divide it into triangle BCD and ABD by the diagonal BD. Construct the triangle BD’C' similar to $Δ B D C$ with scale factor $\frac{4}{3}$ . Draw the line segment D’A’ parallel to DA, where A’ lies on extended side BA, Is A’ BC’ D’ a parallelogram?

Discussion

3978.	What is the sum of the cubes of the first 7 natural numbers?
Answer» What is the sum of the cubes of the first 7 natural numbers?

Discussion

3979.	Factorise (i) 4p2 − 9q2 (ii) 63a2 − 112b2 (iii) 49x2 − 36 (iv) 16x5 − 144x3 (v) (l + m)2 − (l − m)2 (vi) 9x2y2 − 16 (vii) (x2 − 2xy + y2) − z2 (viii) 25a2 − 4b2 + 28bc − 49c2
Answer» Factorise (i) 4p²− 9q² (ii) 63a² − 112b² (iii) 49x² − 36 (iv) 16x⁵ − 144x³ (v) (l + m)² − (l − m)² (vi) 9x²y² − 16 (vii) (x² − 2xy + y²) − z² (viii) 25a² − 4b²+ 28bc − 49c²

3979.

Factorise (i) 4p2 − 9q2 (ii) 63a2 − 112b2 (iii) 49x2 − 36 (iv) 16x5 − 144x3 (v) (l + m)2 − (l − m)2 (vi) 9x2y2 − 16 (vii) (x2 − 2xy + y2) − z2 (viii) 25a2 − 4b2 + 28bc − 49c2

Answer»

Factorise

(i) 4p²−
9q²

(ii) 63a²
− 112b²

(iii) 49x²
− 36

(iv) 16x⁵
− 144x³

(v) (l + m)²
− (l − m)²

(vi) 9x²y²
− 16

(vii) (x²
− 2xy + y²) − z²

(viii) 25a²
− 4b²+ 28bc
− 49c²

Discussion

3980.	Sales tax is levied on ____.
Answer» Sales tax is levied on ____.

Discussion

3981.	Factors of (x+y)3-(x3+y3)
Answer» Factors of (x+y)3-(x3+y3)

Discussion

3982.	Question 79 Draw the net of the following cuboid:
Answer» Question 79 Draw the net of the following cuboid:

Discussion

3983.	Question 16The figure ABCD is a quadrilateral in which AB = CD and BC = AD. Its area is (a) 72 cm2 (b) 36 cm2 (c) 24 cm2 (d) 18 cm2
Answer» Question 16 The figure ABCD is a quadrilateral in which AB = CD and BC = AD. Its area is (a) $72 c m^{2}$ (b) $36 c m^{2}$ (c) $24 c m^{2}$ (d) $18 c m^{2}$

3983.

Question 16The figure ABCD is a quadrilateral in which AB = CD and BC = AD. Its area is (a) 72 cm2 (b) 36 cm2 (c) 24 cm2 (d) 18 cm2

Answer»

Question 16

The figure ABCD is a quadrilateral in which AB = CD and BC = AD. Its area is

(a) $72 c m^{2}$ (b) $36 c m^{2}$ (c) $24 c m^{2}$ (d) $18 c m^{2}$

Discussion

3984.	Find the least number of 4 digits which is a perfect square also find the square root of the number so obtained
Answer» Find the least number of 4 digits which is a perfect square also find the square root of the number so obtained

Discussion

3985.	Question 22 If the diagonals of a quadrilateral are equal and bisect each other, then the quadrilateral is a a) Rhombus b) Rectangle c) Trapezium d) Parallelogram
Answer» Question 22 If the diagonals of a quadrilateral are equal and bisect each other, then the quadrilateral is a a) Rhombus b) Rectangle c) Trapezium d) Parallelogram

Discussion

3986.	You deposit £345 in to a bank account paying 7% simple interest per year. How much interest would you earn after 5 years?
Answer» You deposit £345 in to a bank account paying 7% simple interest per year. How much interest would you earn after 5 years?

Discussion

3987.	30.Which is grater in size cl35 or cl37
Answer» 30.Which is grater in size cl35 or cl37

Discussion

3988.	The sides of a quadrilateral ABCD are 6cm, 8cm, 12cm and 14cm (taken inorder) respectively, and the angle between the first two sides is a right angle.Find its area.
Answer» The sides of a quadrilateral ABCD are 6cm, 8cm, 12cm and 14cm (taken inorder) respectively, and the angle between the first two sides is a right angle.Find its area.

Discussion

3989.	Mr. Sharma borrowed Rs. 24000 at 13% p.a. simple interest and an equal sum at 12% p.a. compound interest. Find the total interest earned by Mr. Sharma in 2 years.
Answer» Mr. Sharma borrowed Rs. 24000 at 13% p.a. simple interest and an equal sum at 12% p.a. compound interest. Find the total interest earned by Mr. Sharma in 2 years.

Discussion

3990.	Question 3 (i)Are the following pair of linear equations consistent ? justify your answer- 3x - 4y = 12 and 4y + 3x = 12
Answer» Question 3 (i) Are the following pair of linear equations consistent ? justify your answer - 3x - 4y = 12 and 4y + 3x = 12

Discussion

3991.	10. the a1x+b1y+c1=0 and a2x+b2y+c2=0cut the cordinate axis in concyclic points, then (a)=a1b1=a2b2 (b) a1a2=b1b2
Answer» 10. the a1x+b1y+c1=0 and a2x+b2y+c2=0cut the cordinate axis in concyclic points, then (a)=a1b1=a2b2 (b) a1a2=b1b2

Discussion

3992.	Simplify (0.00032)45.
Answer» Simplify $(0.00032)^{\frac{4}{5}} .$

Discussion

3993.	If AB=12 cm,BC=16 cm, and AB is perpendicular to BC, then the radius of the circle passing through the points A,B, and C is:
Answer» If $A B = 12 cm, B C = 16 cm$ , and $A B$ is perpendicular to $B C$ , then the radius of the circle passing through the points $A, B,$ and $C$ is:

Discussion

3994.	State true or false with a valid reason.(i) The cube of any odd number is even(ii) A perfect cube does not end with two zeroes.(iii) If a square of a number ends with 5, then its cube ends with 25.(iv) There is no perfect cube that ends with 8.
Answer» State true or false with a valid reason. (i) The cube of any odd number is even (ii) A perfect cube does not end with two zeroes. (iii) If a square of a number ends with 5, then its cube ends with 25. (iv) There is no perfect cube that ends with 8.

Discussion

3995.	ABC is a triangle such that A(3, 4), B(–5, –4) and C(7, 6). If P, Q, R and S are respectively the mid-points of AB, AC, BC and PQ, then coordinates of point X which divides RS in 2 : 1 areABC एक त्रिभुज है जबकि A(3, 4), B(–5, –4) तथा C(7, 6) है। यदि P, Q, R तथा S क्रमशः AB, AC, BC व PQ के मध्य बिन्दु हैं, तब RS को 2 : 1 में विभाजित करने वाले बिन्दु X के निर्देशांक हैं
Answer» ABC is a triangle such that A(3, 4), B(–5, –4) and C(7, 6). If P, Q, R and S are respectively the mid-points of AB, AC, BC and PQ, then coordinates of point X which divides RS in 2 : 1 are ABC एक त्रिभुज है जबकि A(3, 4), B(–5, –4) तथा C(7, 6) है। यदि P, Q, R तथा S क्रमशः AB, AC, BC व PQ के मध्य बिन्दु हैं, तब RS को 2 : 1 में विभाजित करने वाले बिन्दु X के निर्देशांक हैं

Discussion

3996.	If in ∆ABC , exterior angle angle ABC= 45°, such that AC²=AB²+BC²+k.ar(∆ABC), then find k.
Answer» If in ∆ABC , exterior angle angle ABC= 45°, such that AC²=AB²+BC²+k.ar(∆ABC), then find k.

Discussion

3997.	What is the square root of 135
Answer» What is the square root of 135

Discussion

3998.	If I combine 2 equilateral triangles along a side, what quadrilateral do I get?
Answer» If I combine 2 equilateral triangles along a side, what quadrilateral do I get?

Discussion

3999.	How many times do the hands of a clock coincide in a day?
Answer» How many times do the hands of a clock coincide in a day?

Discussion

4000.	What is the unit digit of 1^33+2^33+3^33+4^33+5^33
Answer» What is the unit digit of 1^33+2^33+3^33+4^33+5^33

Discussion

Explore topic-wise InterviewSolutions in .

The area of a rectangle is given by the expression p(4p2−16). If the length of the rectangle is 4p(p−2), then find the expression for the breadth of the rectangle.

Question 13If x + y + z = 0, show that x3+y3+z3=3xyz.

A and B can finish a piece of work in 16 days and 12 days respectively. A started the work and worked at it for 2 days. He was then Joined by B. Find the total time taken to finish the work.

Record the following transactions during the week ending January. 30, 2017 with a weekly imprest Rs 500 Rs 24 Stationery 100 25 Bus fare 12 25 Cartage 40 26 Taxi fare 80 27 Wages to casual labour 90 29 Postage 80

How cardinality of a proper subset is=2^n-1

The total surface area of a cylinder is 6512 cm2 and the circumference of its base is 88 cm. Find its height.

Question 52(v) The graph given below gives the actual and expected sales of cars of a company for 6 months. Study the graph and answer the questions that follow. What is the average sales of cars in the last three months?

Which of the following holds true?

Mention the different types of figures. Illustrtate with diagrams.

Question 12If the radius of a cylinder is tripled but its curved surface area is unchanged, then its height will be(a) tripled (b) constant(c) one-sixth (d) one-third

Should the polynomial be only quadratic if we factorise the term by "splitting the middle term" method?

Construct ☐ PQRS, such that l(PQ) = 3.5 cm, l(QR) = 5.6 cm, l(RS) = 3.5 cm, m∠Q = 110°, m∠R = 70°.If it is given that ☐ PQRS is a parallelogram, which of the given information is unnecessary?

Find the average speed of car A over the duration of 10 to 40 minutes.

Which of the following is/are true about kite?i) Kite is a type of parallelogram.ii) The diagonals of a kite are perpendicular to each other.iii) The diagonals of a kite bisect each other.iv) One pair of opposite angles is equal to each other.

Construct a quadrilateral ABCD in which AB = 4 cm, AC = 5 cm, AD = 5.5 cm and ∠ABC=∠ACD=90∘.

Question 25Fill in the blanks to make the statements true.There are ___ perfect squares between 1 and 100.

A classroom is 11 m long, 8 m wide and 5 m high. Find the sum of the areas of its floor and the four walls (including doors, windows etc.)

A solid piece of metal in the form of cuboid of dimensions 24cm * 18 cm * 4 cm * is melted to the form and recasted into a CUBE. Find the length area of each edge of the cube.

If 3x + 2y = 12 and xy = 6, find the value of 9x2+4y2

Using suitable identities, evalute 497×505.

Question 80 State whether the following statement is true or false: Cube of an odd number is odd.

Which of the following pairs of sets are equal? Justify your answer.(i) X, the set of letters in ALLOY and B, the set of letters in LOYAL(ii) A={n:n∈Z and n2≤4} and B={x:x∈R and x2−3x+2=0}

The diameter on a certain sum of money is Rs. 1480 in 2 years and at 10 per ceny per year. Find the sum of money.

If the radii of two wheels are in the ratio 3:7, then the ratio of their areas is:

What is the sum of the cubes of the first 7 natural numbers?

Factorise (i) 4p2 − 9q2 (ii) 63a2 − 112b2 (iii) 49x2 − 36 (iv) 16x5 − 144x3 (v) (l + m)2 − (l − m)2 (vi) 9x2y2 − 16 (vii) (x2 − 2xy + y2) − z2 (viii) 25a2 − 4b2 + 28bc − 49c2

Sales tax is levied on ____.

Factors of (x+y)3-(x3+y3)

Question 79 Draw the net of the following cuboid:

Question 16The figure ABCD is a quadrilateral in which AB = CD and BC = AD. Its area is (a) 72 cm2 (b) 36 cm2 (c) 24 cm2 (d) 18 cm2

Find the least number of 4 digits which is a perfect square also find the square root of the number so obtained

Question 22 If the diagonals of a quadrilateral are equal and bisect each other, then the quadrilateral is a a) Rhombus b) Rectangle c) Trapezium d) Parallelogram

You deposit £345 in to a bank account paying 7% simple interest per year. How much interest would you earn after 5 years?

30.Which is grater in size cl35 or cl37

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

Mr. Sharma borrowed Rs. 24000 at 13% p.a. simple interest and an equal sum at 12% p.a. compound interest. Find the total interest earned by Mr. Sharma in 2 years.

Question 3 (i)Are the following pair of linear equations consistent ? justify your answer- 3x - 4y = 12 and 4y + 3x = 12

10. the a1x+b1y+c1=0 and a2x+b2y+c2=0cut the cordinate axis in concyclic points, then (a)=a1b1=a2b2 (b) a1a2=b1b2

Simplify (0.00032)45.

If AB=12 cm,BC=16 cm, and AB is perpendicular to BC, then the radius of the circle passing through the points A,B, and C is:

State true or false with a valid reason.(i) The cube of any odd number is even(ii) A perfect cube does not end with two zeroes.(iii) If a square of a number ends with 5, then its cube ends with 25.(iv) There is no perfect cube that ends with 8.

If in ∆ABC , exterior angle angle ABC= 45°, such that AC²=AB²+BC²+k.ar(∆ABC), then find k.

What is the square root of 135

If I combine 2 equilateral triangles along a side, what quadrilateral do I get?

How many times do the hands of a clock coincide in a day?

What is the unit digit of 1^33+2^33+3^33+4^33+5^33