25365 + Interview Questions in Mathematics Page 148 InterviewSolution

7351.	Express 125 % as a ratio.
Answer» Express 125 $%$ as a ratio.

Discussion

7352.	What do the numbers 1, 16 and 49 have in common?
Answer» What do the numbers 1, 16 and 49 have in common?

Discussion

7353.	A sum of money was lent for 2 years at 20% compounded annually. If the interest is payable half-yearly instead of yearly, then the interest is Rs. 482 more. Find the sum.
Answer» A sum of money was lent for 2 years at $20 %$ compounded annually. If the interest is payable half-yearly instead of yearly, then the interest is Rs. 482 more. Find the sum.

Discussion

7354.	A boat travelled 210 km downsream and back. The trip downstream took 10 hours. The trip back took 70 hours. What is the speed of the boat in still water?
Answer» A boat travelled 210 km downsream and back. The trip downstream took 10 hours. The trip back took 70 hours. What is the speed of the boat in still water?

Discussion

7355.	Find the value of (√49+√0.49+√0.0049 )×√10000.
Answer» $Find the value of (\sqrt{49} + \sqrt{0.49} + \sqrt{0.0049}) \times \sqrt{10000} .$

Discussion

7356.	A quadrilateral has an area of 453.6m2. The length of a diagonal is 42 m and the perpendicular distance from one vertex is 10 m. The perpendicular distance from the other vertex is __
Answer» A quadrilateral has an area of 453.6m². The length of a diagonal is 42 m and the perpendicular distance from one vertex is 10 m. The perpendicular distance from the other vertex is __

Discussion

7357.	If a + b + c = 0, then write the value of a2bc+b2ca+c2ab
Answer» If a + b + c = 0, then write the value of $\frac{a^{2}}{b c} + \frac{b^{2}}{c a} + \frac{c^{2}}{a b}$

Discussion

7358.	39. Explain axis of symmetry and plane of symmetry.
Answer» 39. Explain axis of symmetry and plane of symmetry.

Discussion

7359.	In the diagram, the coordinates of Q are (4, 3).What are the coordinates of T?
Answer» In the diagram, the coordinates of Q are (4, 3). What are the coordinates of T?

Discussion

7360.	A closed cylindrical tank of diameter 14 m and height 5 m is made from a sheet of metal. How much sheet of metal will be required?
Answer» A closed cylindrical tank of diameter 14 m and height 5 m is made from a sheet of metal. How much sheet of metal will be required?

Discussion

7361.	While measuring the diameter of a sphere with a vernier calipers if MSR and VCD are 35 mm and 5 respectively and if the vernier scale consists of 20 divisions and 1 MSD is 1 mm then what is the diameter of the sphere?A. 64.35 mmB. 35.25 mmC. 1.95 mmD. 4.25 mm
Answer» While measuring the diameter of a sphere with a vernier calipers if MSR and VCD are 35 mm and 5 respectively and if the vernier scale consists of 20 divisions and 1 MSD is 1 mm then what is the diameter of the sphere? A. 64.35 mm B. 35.25 mm C. 1.95 mm D. 4.25 mm

Discussion

7362.	In order to draw the histogram of the inclusive frequency distribution, it should be converted into exclusive form by applying a correction factor. A correction factor is calculated as
Answer» In order to draw the histogram of the inclusive frequency distribution, it should be converted into exclusive form by applying a correction factor. A correction factor is calculated as

Discussion

7363.	The degree of the differential equation 1+dydx2 = x is ______________.
Answer» The degree of the differential equation $\sqrt{1 + {(\frac{d y}{d x})}^{2}}$ = x is ______________.

Discussion

7364.	How many sides a gigagon has?
Answer» How many sides a gigagon has?

Discussion

7365.	If the circumference of a circle is 49.5meters more than its diameter, find the diameter of the circle .b(assume π = 22/7 )
Answer» If the circumference of a circle is 49.5meters more than its diameter, find the diameter of the circle .b(assume π = 22/7 )

Discussion

7366.	Given ∠DCA=20o and ∠DEC=115o. Find the angle ∠BAC.
Answer» Given $∠ D C A = 20^{o}$ and $∠ D E C = 115^{o} .$ Find the angle $∠ B A C .$

Discussion

7367.	The height of a right circular cylinder is 10.5m. Three times the sum of the areas of its two circular faces is twice the area of the curved surface. Find the volume of the cylinder.
Answer» The height of a right circular cylinder is 10.5m. Three times the sum of the areas of its two circular faces is twice the area of the curved surface. Find the volume of the cylinder.

Discussion

7368.	Question 22Write the correct answer from the given four options.If m is the cube root of n, then n isa) m3b) √mc) m3d) 3√m
Answer» Question 22 Write the correct answer from the given four options. If m is the cube root of n, then n is a) $m^{3}$ b) $\sqrt{m}$ c) $\frac{m}{3}$ d) $\sqrt[3]{m}$

7368.

Question 22Write the correct answer from the given four options.If m is the cube root of n, then n isa) m3b) √mc) m3d) 3√m

Answer»

Question 22

Write the correct answer from the given four options.

If m is the cube root of n, then n is

a) $m^{3}$

b) $\sqrt{m}$

c) $\frac{m}{3}$

d) $\sqrt[3]{m}$

Discussion

7369.	A quadrilateral has all its four angles of the same measure. What is the measure of each?
Answer» A quadrilateral has all its four angles of the same measure. What is the measure of each?

Discussion

7370.	If the sides of a triangle are 3 cm, 4 cm and 6 cm long, determine whether the triangle is right-angled triangle.
Answer» If the sides of a triangle are 3 cm, 4 cm and 6 cm long, determine whether the triangle is right-angled triangle.

Discussion

7371.	A rectangular piece of land measures 70 m by 50 m. Each side is to be fenced with wire. The length of the wire needed is ______.
Answer» A rectangular piece of land measures 70 m by 50 m. Each side is to be fenced with wire. The length of the wire needed is ______.

Discussion

7372.	What is the cube root of 18×12?
Answer» What is the cube root of $18 \times 12$ ?

Discussion

7373.	Question 28Expand the following(i) (4a−b+2c)2(ii) (3a–5b–c)2(iii) (−x+2y−3z)2
Answer» Question 28 Expand the following (i) $(4 a - b + 2 c)^{2}$ (ii) $(3 a - 5 b - c)^{2}$ (iii) $(- x + 2 y - 3 z)^{2}$

Discussion

7374.	The set builder form of "A is the set of whole numbers which are divisible by 5 and are less than 35" is _______________.
Answer» The set builder form of "A is the set of whole numbers which are divisible by 5 and are less than 35" is _______________.

Discussion

7375.	Solve the following problems.A broker who helps selling a pair of bullocks for Rs. 15,000 at 1% commission. How much commission does he get?
Answer» Solve the following problems. A broker who helps selling a pair of bullocks for Rs. 15,000 at 1% commission. How much commission does he get?

7375.

Solve the following problems.A broker who helps selling a pair of bullocks for Rs. 15,000 at 1% commission. How much commission does he get?

Answer»

Solve the following problems.

A broker who helps selling a pair of bullocks for Rs. 15,000 at 1% commission. How much commission does he get?

Discussion

7376.	Convert the given mapping diagram into a graph of a linear functionf:R→R
Answer» Convert the given mapping diagram into a graph of a linear function $f : R \to R$

Discussion

7377.	The length of side a square field is 16 m. Find the area of the square field and cost of fixing the fence along the boundary of the field at the rate of ₹ 3.20 per metre.
Answer» The length of side a square field is 16 m. Find the area of the square field and cost of fixing the fence along the boundary of the field at the rate of ₹ 3.20 per metre.

Discussion

7378.	Question 79State whether the following statement is true or false:Cube of an even number is even.
Answer» Question 79 State whether the following statement is true or false: Cube of an even number is even.

7378.

Question 79State whether the following statement is true or false:Cube of an even number is even.

Answer»

Question 79

State whether the following statement is true or false:

Cube of an even number is even.

Discussion

7379.	Four alternative options are given for each of the following statements. Select the correct option. The mode of 2, 3, 3, 5, 3, 5, 7, 3, 5 is: A. 3 B. 5 C. 3 and 5 D. 3, 5, 7
Answer» Four alternative options are given for each of the following statements. Select the correct option. The mode of 2, 3, 3, 5, 3, 5, 7, 3, 5 is: A. 3 B. 5 C. 3 and 5 D. 3, 5, 7

7379.

Four alternative options are given for each of the following statements. Select the correct option. The mode of 2, 3, 3, 5, 3, 5, 7, 3, 5 is: A. 3 B. 5 C. 3 and 5 D. 3, 5, 7

Answer»

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

The mode of 2, 3, 3, 5, 3, 5, 7, 3, 5 is:

A. 3

B. 5

C. 3 and 5

D. 3, 5, 7

Discussion

7380.	Write theadditive inverse of each of the following:(i) (ii) (iii) (iv) (v)
Answer» Write the additive inverse of each of the following: (i) (ii) (iii) (iv) (v)

7380.

Write theadditive inverse of each of the following:(i) (ii) (iii) (iv) (v)

Answer»

Write the
additive inverse of each of the following:

(i) (ii) (iii) (iv) (v)

Discussion

7381.	Find the probabilities of the events given in Question 2.
Answer» Find the probabilities of the events given in Question 2.

Discussion

7382.	Simplify.(i)(x2− 5) (x + 5) + 25(ii)(a2+ 5) (b3 + 3) + 5(iii)(t + s2)(t2 − s) (iv)(a + b)(c − d) + (a − b) (c +d) + 2 (ac + bd)(v)(x + y)(2x + y) + (x + 2y) (x − y)(vi)(x + y)(x2 − xy + y2)(vii)(1.5x −4y) (1.5x + 4y + 3) − 4.5x + 12y(viii)(a + b+ c) (a + b − c)
Answer» Simplify. (i)(x²− 5) (x + 5) + 25 (ii)(a²+ 5) (b³ + 3) + 5 (iii)(t + s²)(t² − s) (iv)(a + b)(c − d) + (a − b) (c +d) + 2 (ac + bd) (v)(x + y)(2x + y) + (x + 2y) (x − y) (vi)(x + y)(x² − xy + y²) (vii)(1.5x −4y) (1.5x + 4y + 3) − 4.5x + 12y (viii)(a + b+ c) (a + b − c)

7382.

Simplify.(i)(x2− 5) (x + 5) + 25(ii)(a2+ 5) (b3 + 3) + 5(iii)(t + s2)(t2 − s) (iv)(a + b)(c − d) + (a − b) (c +d) + 2 (ac + bd)(v)(x + y)(2x + y) + (x + 2y) (x − y)(vi)(x + y)(x2 − xy + y2)(vii)(1.5x −4y) (1.5x + 4y + 3) − 4.5x + 12y(viii)(a + b+ c) (a + b − c)

Answer»

Simplify.

(i)(x²− 5) (x + 5) + 25

(ii)(a²+ 5) (b³ + 3) + 5

(iii)(t + s²)(t² − s)

(iv)(a + b)(c − d) + (a − b) (c +d) + 2 (ac + bd)

(v)(x + y)(2x + y) + (x + 2y) (x − y)

(vi)(x + y)(x² − xy + y²)

(vii)(1.5x −4y) (1.5x + 4y + 3) − 4.5x + 12y

(viii)(a + b+ c) (a + b − c)

Discussion

7383.	Find the multiplicative inverse of (−7)−2÷(90)−1.
Answer» Find the multiplicative inverse of $(- 7)^{- 2} \div (90)^{- 1}$ .

Discussion

7384.

If x and y are inversely related then, find l, m and n.x84l16y8m32n

Answer»

If $x and y$ are inversely related then, find $l, m and n$ .

$x$	8	4	$l$	16
$y$	8	$m$	32	$n$

Discussion

7385.	Question 10Aman’s age is three times his son’s age. Ten years ago he was five times his son’s age. Find their present ages.
Answer» Question 10 Aman’s age is three times his son’s age. Ten years ago he was five times his son’s age. Find their present ages.

Discussion

7386.	Let .Find(i) , (ii)
Answer» Let . Find (i) , (ii)

7386.

Let .Find(i) , (ii)

Answer»

Let
.
Find

(i) , (ii)

Discussion

7387.	If A is the area and C be the circumference of a circle, then its radius is(a) AC (b) 2AC (c) 3AC (d) 4AC
Answer» If A is the area and C be the circumference of a circle, then its radius is (a) $\frac{A}{C}$ (b) $\frac{2 A}{C}$ (c) $\frac{3 A}{C}$ (d) $\frac{4 A}{C}$

Discussion

7388.

Enter the following transactions in the Journal of Manohar Lal & Sons.:- 2019 ₹ March 1 Manohar Lal & Sons started business with cash 60,000 2 Purchased furniture for cash 10,000 4 Purchased goods for cash 25,000 5 Bought goods from Kamlesh 15,000 10 Paid cash to Kamlesh 15,000 16 Purchased goods from Sohan 6,000 18 Purchased goods from Sohan for cash 8,000 20 Paid rent for the office 1,000

Answer» Enter the following transactions in the Journal of Manohar Lal & Sons.:-

2019		₹
March 1	Manohar Lal & Sons started business with cash	60,000
2	Purchased furniture for cash	10,000
4	Purchased goods for cash	25,000
5	Bought goods from Kamlesh	15,000
10	Paid cash to Kamlesh	15,000
16	Purchased goods from Sohan	6,000
18	Purchased goods from Sohan for cash	8,000
20	Paid rent for the office	1,000

Discussion

7389.	Angles of a quadrilateral are (4x)∘ , 5(x+2)∘ , (7x−20)∘ and 6(x+3)∘. What will be the value of x.
Answer» Angles of a quadrilateral are $(4 x)^{\circ}, 5 (x + 2)^{\circ}, (7 x - 20)^{\circ}$ and $6 (x + 3)^{\circ}$ . What will be the value of $x$ .

Discussion

7390.	If P = {4, 5, 6, 7, 8, 9}, Q = {2, 3, 4}, R = {4, 5, 8} then .
Answer» If P = {4, 5, 6, 7, 8, 9}, Q = {2, 3, 4}, R = {4, 5, 8} then .

Discussion

7391.	ABCD is a rhombus. If its side and one diagonal measure 5 cm and 6 cm respectively, the measure of its other diagonal is _____ cm.
Answer» ABCD is a rhombus. If its side and one diagonal measure 5 cm and 6 cm respectively, the measure of its other diagonal is _____ cm.

Discussion

7392.	101. If 1/2011+2010*2012= x-y, where x and y are positive integers, then the value of x + y equals (1) 4023 (2) 2008 (3) 4022 (4) 2011
Answer» 101. If 1/2011+2010*2012= x-y, where x and y are positive integers, then the value of x + y equals (1) 4023 (2) 2008 (3) 4022 (4) 2011

Discussion

7393.	Question 68State whether the following statement is true or false:If x and y are integers such that x2>y2, then x3>y3
Answer» Question 68 State whether the following statement is true or false: If x and y are integers such that $x^{2} > y^{2}$ , then $x^{3} > y^{3}$

7393.

Question 68State whether the following statement is true or false:If x and y are integers such that x2>y2, then x3>y3

Answer»

Question 68

State whether the following statement is true or false:

If x and y are integers such that $x^{2} > y^{2}$ , then $x^{3} > y^{3}$

Discussion

7394.	Reema types 540 words during half an hour. How many words would she type in 6 minutes ?
Answer» Reema types 540 words during half an hour. How many words would she type in 6 minutes ?

Discussion

7395.	Which of the following options the point P represents (3,2)?
Answer» Which of the following options the point P represents (3,2)?

Discussion

7396.	The age of Sunil and his father are in the ratio 3:7. Four years later the sum of their ages will be 78 years. Which of the following represents the present age of either Sunil or his father?
Answer» The age of Sunil and his father are in the ratio 3:7. Four years later the sum of their ages will be 78 years. Which of the following represents the present age of either Sunil or his father?

Discussion

7397.	The perimeter of a semi-circle is ____.
Answer» The perimeter of a semi-circle is ____.

Discussion

7398.	In a group, the ages (in years) of 8 friends are 25,27,25,27,26,25,27,26. The average age of the group is .
Answer» In a group, the ages (in years) of $8$ friends are $25, 27, 25, 27, 26, 25, 27, 26$ . The average age of the group is .

Discussion

7399.	Which of the following is not an identity?
Answer» Which of the following is not an identity?

Discussion

7400.	Question 10 (i)The population of a place increased to 54,000 in 2003 at a rate of 5% per annum. (i) Find the population in 2001.
Answer» Question 10 (i) The population of a place increased to 54,000 in 2003 at a rate of 5% per annum. (i) Find the population in 2001.

Discussion

Explore topic-wise InterviewSolutions in .

Express 125 % as a ratio.

What do the numbers 1, 16 and 49 have in common?

A sum of money was lent for 2 years at 20% compounded annually. If the interest is payable half-yearly instead of yearly, then the interest is Rs. 482 more. Find the sum.

A boat travelled 210 km downsream and back. The trip downstream took 10 hours. The trip back took 70 hours. What is the speed of the boat in still water?

Find the value of (√49+√0.49+√0.0049 )×√10000.

A quadrilateral has an area of 453.6m2. The length of a diagonal is 42 m and the perpendicular distance from one vertex is 10 m. The perpendicular distance from the other vertex is __

If a + b + c = 0, then write the value of a2bc+b2ca+c2ab

39. Explain axis of symmetry and plane of symmetry.

In the diagram, the coordinates of Q are (4, 3).What are the coordinates of T?

A closed cylindrical tank of diameter 14 m and height 5 m is made from a sheet of metal. How much sheet of metal will be required?

While measuring the diameter of a sphere with a vernier calipers if MSR and VCD are 35 mm and 5 respectively and if the vernier scale consists of 20 divisions and 1 MSD is 1 mm then what is the diameter of the sphere?A. 64.35 mmB. 35.25 mmC. 1.95 mmD. 4.25 mm

In order to draw the histogram of the inclusive frequency distribution, it should be converted into exclusive form by applying a correction factor. A correction factor is calculated as

The degree of the differential equation 1+dydx2 = x is ______________.

How many sides a gigagon has?

If the circumference of a circle is 49.5meters more than its diameter, find the diameter of the circle .b(assume π = 22/7 )

Given ∠DCA=20o and ∠DEC=115o. Find the angle ∠BAC.

The height of a right circular cylinder is 10.5m. Three times the sum of the areas of its two circular faces is twice the area of the curved surface. Find the volume of the cylinder.

Question 22Write the correct answer from the given four options.If m is the cube root of n, then n isa) m3b) √mc) m3d) 3√m

A quadrilateral has all its four angles of the same measure. What is the measure of each?

If the sides of a triangle are 3 cm, 4 cm and 6 cm long, determine whether the triangle is right-angled triangle.

A rectangular piece of land measures 70 m by 50 m. Each side is to be fenced with wire. The length of the wire needed is ______.

What is the cube root of 18×12?

Question 28Expand the following(i) (4a−b+2c)2(ii) (3a–5b–c)2(iii) (−x+2y−3z)2

The set builder form of "A is the set of whole numbers which are divisible by 5 and are less than 35" is _______________.

Solve the following problems.A broker who helps selling a pair of bullocks for Rs. 15,000 at 1% commission. How much commission does he get?

Convert the given mapping diagram into a graph of a linear functionf:R→R

The length of side a square field is 16 m. Find the area of the square field and cost of fixing the fence along the boundary of the field at the rate of ₹ 3.20 per metre.

Question 79State whether the following statement is true or false:Cube of an even number is even.

Four alternative options are given for each of the following statements. Select the correct option. The mode of 2, 3, 3, 5, 3, 5, 7, 3, 5 is: A. 3 B. 5 C. 3 and 5 D. 3, 5, 7

Write theadditive inverse of each of the following:(i) (ii) (iii) (iv) (v)

Find the probabilities of the events given in Question 2.

Simplify.(i)(x2− 5) (x + 5) + 25(ii)(a2+ 5) (b3 + 3) + 5(iii)(t + s2)(t2 − s) (iv)(a + b)(c − d) + (a − b) (c +d) + 2 (ac + bd)(v)(x + y)(2x + y) + (x + 2y) (x − y)(vi)(x + y)(x2 − xy + y2)(vii)(1.5x −4y) (1.5x + 4y + 3) − 4.5x + 12y(viii)(a + b+ c) (a + b − c)

Find the multiplicative inverse of (−7)−2÷(90)−1.

If x and y are inversely related then, find l, m and n.x84l16y8m32n

Question 10Aman’s age is three times his son’s age. Ten years ago he was five times his son’s age. Find their present ages.

Let .Find(i) , (ii)

If A is the area and C be the circumference of a circle, then its radius is(a) AC (b) 2AC (c) 3AC (d) 4AC

Angles of a quadrilateral are (4x)∘ , 5(x+2)∘ , (7x−20)∘ and 6(x+3)∘. What will be the value of x.

If P = {4, 5, 6, 7, 8, 9}, Q = {2, 3, 4}, R = {4, 5, 8} then .

ABCD is a rhombus. If its side and one diagonal measure 5 cm and 6 cm respectively, the measure of its other diagonal is _____ cm.

101. If 1/2011+2010*2012= x-y, where x and y are positive integers, then the value of x + y equals (1) 4023 (2) 2008 (3) 4022 (4) 2011

Question 68State whether the following statement is true or false:If x and y are integers such that x2&gt;y2, then x3&gt;y3

Reema types 540 words during half an hour. How many words would she type in 6 minutes ?

Which of the following options the point P represents (3,2)?

The age of Sunil and his father are in the ratio 3:7. Four years later the sum of their ages will be 78 years. Which of the following represents the present age of either Sunil or his father?

The perimeter of a semi-circle is ____.

In a group, the ages (in years) of 8 friends are 25,27,25,27,26,25,27,26. The average age of the group is .

Which of the following is not an identity?

Question 10 (i)The population of a place increased to 54,000 in 2003 at a rate of 5% per annum. (i) Find the population in 2001.

Question 68State whether the following statement is true or false:If x and y are integers such that x2>y2, then x3>y3