25365 + Interview Questions in Mathematics Page 140 InterviewSolution

6951.	If A = {2, 4} and B = {5, 6} then A x B ∪ ф will be:
Answer» If A = {2, 4} and B = {5, 6} then A x B ∪ ф will be:

Discussion

6952.	The height and radius of cone are 4 cm and 3 cm respectively. Fnd the curved surface area of cone.
Answer» The height and radius of cone are 4 cm and 3 cm respectively. Fnd the curved surface area of cone.

Discussion

6953.	Which of the following expressions are polynomials?(i) x2+4(ii) 4−x−1(iii) 2x2−2x
Answer» Which of the following expressions are polynomials? (i) $x^{2} + 4$ (ii) $4 - x^{- 1}$ (iii) $2 x^{2} - \frac{2}{x}$

Discussion

6954.	In the given question, state whether the given statement is True or False.In N÷5 leaves remainder 3 and N÷2 leaves remainder 0, then N÷10 leaves remainder 4.
Answer» In the given question, state whether the given statement is True or False. In $N \div 5$ leaves remainder 3 and $N \div 2$ leaves remainder 0, then $N \div 10$ leaves remainder 4.

Discussion

6955.	The perimeter of a rectangular swimming pool is 64m. If its length and breadth are in the ratio of 11 : 5, find the length of the pool (in metre).
Answer» The perimeter of a rectangular swimming pool is 64m. If its length and breadth are in the ratio of 11 : 5, find the length of the pool (in metre).

Discussion

6956.	(2.) Can you draw a parallelogram BATS where BA=5cm, AT=6cm and AS=6.5cm? Why?
Answer» (2.) Can you draw a parallelogram BATS where BA=5cm, AT=6cm and AS=6.5cm? Why?

Discussion

6957.	A line is parallel to xy-plane if all the points on the line have equal ______________________.
Answer» A line is parallel to xy-plane if all the points on the line have equal ______________________.

Discussion

6958.	What is the sum of all interior angles of a convex polygon with seven sides ?
Answer» What is the sum of all interior angles of a convex polygon with seven sides ?

Discussion

6959.	State whether the statements are True or False. Question 33 The points (3,5) and (5,3) represent the same point.
Answer» State whether the statements are True or False. Question 33 The points (3,5) and (5,3) represent the same point.

Discussion

6960.	Factorise the trinomial x2−x−12.
Answer» Factorise the trinomial $x^{2} - x - 12$ .

Discussion

6961.	Find the relation between the sides of triangle in figure
Answer» Find the relation between the sides of triangle in figure

Discussion

6962.	If a number ends in 5 zeros, its square ends in: A. 5 zeros B. 8 zeros C. 10 zeros D. 12 zeros
Answer» If a number ends in 5 zeros, its square ends in: A. 5 zeros B. 8 zeros C. 10 zeros D. 12 zeros

6962.

If a number ends in 5 zeros, its square ends in: A. 5 zeros B. 8 zeros C. 10 zeros D. 12 zeros

Answer»

If a number ends in 5 zeros, its square ends in:

A. 5 zeros

B. 8 zeros

C. 10 zeros

D. 12 zeros

Discussion

6963.	If the circumference of a pan pizza is 88 cm, then find the length of the straight sides of the pizza slice if the pizza is cut into four equal pieces? (Take π=227)
Answer» If the circumference of a pan pizza is 88 cm, then find the length of the straight sides of the pizza slice if the pizza is cut into four equal pieces? (Take $π = \frac{22}{7}$ )

Discussion

6964.	37 In quadrilateral ABCD,diagonals AC and BD intersect at O such that OA = OC .Ratio of areas of Δ ABD and Δ BCD will be
Answer» 37 In quadrilateral ABCD,diagonals AC and BD intersect at O such that OA = OC .Ratio of areas of Δ ABD and Δ BCD will be

Discussion

6965.	Write the quotient and remainder when we divide. x4−2x2+2x2+x+4 by x2+x+1
Answer» Write the quotient and remainder when we divide. $x^{4} - 2 x^{2} + 2 x^{2} + x + 4$ by $x^{2} + x + 1$

6965.

Write the quotient and remainder when we divide. x4−2x2+2x2+x+4 by x2+x+1

Answer»

Write the quotient and remainder when we divide.

$x^{4} - 2 x^{2} + 2 x^{2} + x + 4$ by $x^{2} + x + 1$

Discussion

6966.	Define a new operation * on the set of all natural numbers by m * n = m2 + n2.(i) Is N closed under ?(ii) Is commutative on N?(iii) Is * associative on N?(iv) Is there an identity element in N with respect to *?
Answer» Define a new operation * on the set of all natural numbers by m n* = m² + n². (i) Is N closed under ? (ii) Is commutative on N? (iii) Is * associative on N? (iv) Is there an identity element in N with respect to *?

6966.

Define a new operation * on the set of all natural numbers by m * n = m2 + n2.(i) Is N closed under ?(ii) Is commutative on N?(iii) Is * associative on N?(iv) Is there an identity element in N with respect to *?

Answer»

Define a new operation * on the set of all natural numbers by m * n = m² + n².

(i) Is N closed under *?

(ii) Is * commutative on N?

(iii) Is * associative on N?

(iv) Is there an identity element in N with respect to *?

Discussion

6967.	Match the numbers with their squares.1. 16a. 3612. 23b. 2563. 19c. 6254. 25d. 529
Answer» Match the numbers with their squares. $\begin{matrix} 1. 16 & a . 361 2. 23 & b . 256 3. 19 & c . 625 4. 25 & d . 529 \end{matrix}$

Discussion

6968.	Construct a triangle PQR, given that PQ = 5.6 cm, PR = 7 cm and QR = 4.5 cm.
Answer» Construct a triangle PQR, given that PQ = 5.6 cm, PR = 7 cm and QR = 4.5 cm.

Discussion

6969.	∫ ex1-x1+x22 dx is equal to (a) ex1+x+C (b) -ex1+x2+C (c) ex(1+x2)2+C (d) -ex(1+x2)2+C
Answer» $\int e^{x} {(\frac{1 - x}{1 + x^{2}})}^{2} d x is equal to (a) \frac{e^{x}}{1 + x} + C (b) - \frac{e^{x}}{1 + x^{2}} + C (c) \frac{e^{x}}{(1 + x}$ ²)2+C (d) -ex(1+x²)2+C

Discussion

6970.	Three prizes are to be distributed in a quiz contest. The value of second prize is 5/6 of the value of first prize and the value of third prize is 4/5 of the second prize. If the total value of three prizes is Rs. 1500, then find the value of each prize. (in order of 1st, 2nd & 3rd)
Answer» Three prizes are to be distributed in a quiz contest. The value of second prize is 5/6 of the value of first prize and the value of third prize is 4/5 of the second prize. If the total value of three prizes is Rs. 1500, then find the value of each prize. (in order of 1^st, 2^nd & 3^rd)

Discussion

6971.	{ Let }\vec a=2^ i+^ j-^ k and }\vec b=4^ i-3^ j+5^ k. Find component vector of }\vec a along }\vec b and also find }}{ perpendicular component of }\vec a and }\vec b .
Answer» { Let }\vec a=2^ i+^ j-^ k and }\vec b=4^ i-3^ j+5^ k. Find component vector of }\vec a along }\vec b and also find }}{ perpendicular component of }\vec a and }\vec b .

Discussion

6972.	Which of the following is a perfect cube?
Answer» Which of the following is a perfect cube?

Discussion

6973.	Factorise : 8+6(a+b)−5(a+b)2
Answer» Factorise : $8 + 6 (a + b) - 5 (a + b)^{2}$

Discussion

6974.	Question 103(iii) Verify - (- x) = x for x=13−15
Answer» Question 103(iii) Verify - (- x) = x for $x = \frac{13}{- 15}$

Discussion

6975.	To complete a work, A takes 50% more time than B. If together they take 18 days to complete the work, how much time shall B take to do it? (a) 30 days (b) 35 days (c) 40 days (d) 45 days
Answer» To complete a work, A takes 50% more time than B. If together they take 18 days to complete the work, how much time shall B take to do it? (a) 30 days (b) 35 days (c) 40 days (d) 45 days

6975.

To complete a work, A takes 50% more time than B. If together they take 18 days to complete the work, how much time shall B take to do it? (a) 30 days (b) 35 days (c) 40 days (d) 45 days

Answer»

To complete a work, A takes 50% more time than B. If together they take 18 days to complete the work, how much time shall B take to do it?

(a) 30 days

(b) 35 days

(c) 40 days

(d) 45 days

Discussion

6976.	Question 1 (viii)What will be the unit digit of the squares of the following number:99880
Answer» Question 1 (viii) What will be the unit digit of the squares of the following number: 99880

6976.

Question 1 (viii)What will be the unit digit of the squares of the following number:99880

Answer»

Question 1 (viii)

What will be the unit digit of the squares of the following number:

99880

Discussion

6977.	If the number of days overdue is directly proportional to the fine, determine the amount of fine to be paid at the end of 7 days.
Answer» If the number of days overdue is directly proportional to the fine, determine the amount of fine to be paid at the end of 7 days.

Discussion

6978.	What sum will become Rs 9826 in 18 months if the rate of interest is 212% per annum and the interest is compounded half-yearly? [4 MARKS]
Answer» What sum will become Rs 9826 in 18 months if the rate of interest is $2 \frac{1}{2} %$ per annum and the interest is compounded half-yearly? [4 MARKS]

Discussion

6979.	Question 117Solve the following question:Find the area of a square field, if its perimeter is 96 m.
Answer» Question 117 Solve the following question: Find the area of a square field, if its perimeter is 96 m.

6979.

Question 117Solve the following question:Find the area of a square field, if its perimeter is 96 m.

Answer»

Question 117

Solve the following question:

Find the area of a square field, if its perimeter is 96 m.

Discussion

6980.	Forhow many values of k does the following system of equations have at-least onesolution? x+y=1; kx+y=3; x+ky=5;
Answer» For how many values of k does the following system of equations have at-least one solution? x+y=1; kx+y=3; x+ky=5;

Discussion

6981.	The following graph shows the temperature of a patient in a hospital, recorded every hour.(a) What was the patient’s temperature at 1 p.m.?(b) When was the patient’s temperature 38.5°C?(c) The patient’s temperature was the same two times during the period given. What were these two times?(d) What was the temperature at 1.30 p.m? How did you arrive at your answer?(e) During which periods did the patient’s temperature show an upward trend?
Answer» The following graph shows the temperature of a patient in a hospital, recorded every hour. (a) What was the patient’s temperature at 1 p.m.? (b) When was the patient’s temperature 38.5°C? (c) The patient’s temperature was the same two times during the period given. What were these two times? (d) What was the temperature at 1.30 p.m? How did you arrive at your answer? (e) During which periods did the patient’s temperature show an upward trend?

6981.

The following graph shows the temperature of a patient in a hospital, recorded every hour.(a) What was the patient’s temperature at 1 p.m.?(b) When was the patient’s temperature 38.5°C?(c) The patient’s temperature was the same two times during the period given. What were these two times?(d) What was the temperature at 1.30 p.m? How did you arrive at your answer?(e) During which periods did the patient’s temperature show an upward trend?

Answer»

The following graph shows the temperature of a patient in a hospital, recorded every hour.

(a) What was the patient’s temperature at 1 p.m.?

(b) When was the patient’s temperature 38.5°C?

(c) The patient’s temperature was the same two times during the period given. What were these two times?

(d) What was the temperature at 1.30 p.m? How did you arrive at your answer?

(e) During which periods did the patient’s temperature show an upward trend?

Discussion

6982.	Question 20 The following pie chart represents the distribution of proteins in parts of human body. What is the ratio of distribution of proteins in the muscles to that of proteins in the bones? (a) 3 : 1 (b) 1 : 2 (c) 1 : 3 (d) 2 : 1
Answer» Question 20 The following pie chart represents the distribution of proteins in parts of human body. What is the ratio of distribution of proteins in the muscles to that of proteins in the bones? (a) 3 : 1 (b) 1 : 2 (c) 1 : 3 (d) 2 : 1

6982.

Question 20 The following pie chart represents the distribution of proteins in parts of human body. What is the ratio of distribution of proteins in the muscles to that of proteins in the bones? (a) 3 : 1 (b) 1 : 2 (c) 1 : 3 (d) 2 : 1

Answer»

Question 20

The following pie chart represents the distribution of proteins in parts of human body.

What is the ratio of distribution of proteins in the muscles to that of proteins in the bones?

(a) 3 : 1

(b) 1 : 2

(c) 1 : 3

(d) 2 : 1

Discussion

6983.	25. The plane passing through the point (-2,-2,-3)and containing the line joining the point (1,1,1) and (1,-2,2)makes an intercept a, b, c, along X,Y and Z axis respectively, then 1/a + 1/b + 1/c will be. (A) 3 (B)4 (C)6 (D) 1
Answer» 25. The plane passing through the point (-2,-2,-3)and containing the line joining the point (1,1,1) and (1,-2,2)makes an intercept a, b, c, along X,Y and Z axis respectively, then 1/a + 1/b + 1/c will be. (A) 3 (B)4 (C)6 (D) 1

Discussion

6984.	A line is passing through a point (0,−12). This line is perpendicular to the line having slope of 5. Find the equation of this line.
Answer» A line is passing through a point $(0, - \frac{1}{2})$ . This line is perpendicular to the line having slope of 5. Find the equation of this line.

Discussion

6985.	Question 109(ii)Verify the property x×(y×z)=(x×y)×z of rational numbers by usingx=23,y=−37 and z=12and what is the name of this property?
Answer» Question 109(ii) Verify the property $x \times (y \times z) = (x \times y) \times z$ of rational numbers by using $x = \frac{2}{3}, y = \frac{- 3}{7}$ and $z = \frac{1}{2}$ and what is the name of this property?

Discussion

6986.	Write the generalised form of 85.
Answer» Write the generalised form of 85.

Discussion

6987.	In the natural numbers from 10 to 250, how many are divisible by 4?
Answer» In the natural numbers from 10 to 250, how many are divisible by 4?

Discussion

6988.	The rectangle below has an area of 32x3 square meters and a length of 4x2 square meters.What is the width of the rectangle?
Answer» The rectangle below has an area of $32 x^{3}$ square meters and a length of $4 x^{2}$ square meters. What is the width of the rectangle?

Discussion

6989.	The length of a rectangular field is 2 less than twice of the breadth. What is its area if the breadth is b cm?
Answer» The length of a rectangular field is 2 less than twice of the breadth. What is its area if the breadth is $b$ cm?

Discussion

6990.	An article is sold at two discounts of 40% each. The overall discount is ___ .
Answer» An article is sold at two discounts of 40% each. The overall discount is ___ .

Discussion

6991.	Question 126Solve the following question:8649 students were sitting in a lecture room in such a manner that there were as many students in the row as there were rows in the lecture room. How many students were there in each row of the lecture room?
Answer» Question 126 Solve the following question: 8649 students were sitting in a lecture room in such a manner that there were as many students in the row as there were rows in the lecture room. How many students were there in each row of the lecture room?

6991.

Question 126Solve the following question:8649 students were sitting in a lecture room in such a manner that there were as many students in the row as there were rows in the lecture room. How many students were there in each row of the lecture room?

Answer»

Question 126

Solve the following question:

8649 students were sitting in a lecture room in such a manner that there were as many students in the row as there were rows in the lecture room. How many students were there in each row of the lecture room?

Discussion

6992.	9. n(A) = 20 , n(B) = 18 and n(A intersection B) = 5, then n(A-B) is?
Answer» 9. n(A) = 20 , n(B) = 18 and n(A intersection B) = 5, then n(A-B) is?

Discussion

6993.	What are the different combinations of 2 digits possible out of 6 digits 1,2,3,4,5,6?
Answer» What are the different combinations of $2$ digits possible out of $6$ digits $1, 2, 3, 4, 5, 6$ ?

Discussion

6994.	A man invests ₹ 6,000 at a certain rate of interest, compounded annually. At the end of one year, it amounts to ₹ 6,600. What is the rate of interest per annum?
Answer» A man invests ₹ 6,000 at a certain rate of interest, compounded annually. At the end of one year, it amounts to ₹ 6,600. What is the rate of interest per annum?

Discussion

6995.	13. Find domain F(x)=1-x-4x+5
Answer» 13. Find domain F(x)=1-x-4x+5

Discussion

6996.	(i) Find the additive inverse of sum of 238 and (-345).(ii) Find the value of x where x-17=0.
Answer» (i) Find the additive inverse of sum of 238 and (-345). (ii) Find the value of x where x-17=0.

Discussion

6997.	In below number find the numbers which are divisible by both 3 and 6? 58900, 589410, 456722, 765424.
Answer» In below number find the numbers which are divisible by both 3 and 6? 58900, 589410, 456722, 765424.

Discussion

6998.	If (x+1x)=4, find the value of (i) If (x2+1x2) and (ii) (x4+1x4)
Answer» If $(x + \frac{1}{x}) = 4$ , find the value of (i) If $(x^{2} + \frac{1}{x^{2}})$ and (ii) $(x^{4} + \frac{1}{x^{4}})$

Discussion

6999.	Question 41(i)Write the X-coordinate (abscissa) of the given point.(7,3)
Answer» Question 41(i) Write the X-coordinate (abscissa) of the given point. (7,3)

Discussion

7000.	Which of the following is the correct expression about the ordered pairs on the coordinate plane?
Answer» Which of the following is the correct expression about the ordered pairs on the coordinate plane?

Discussion

Explore topic-wise InterviewSolutions in .

If A = {2, 4} and B = {5, 6} then A x B ∪ ф will be:

The height and radius of cone are 4 cm and 3 cm respectively. Fnd the curved surface area of cone.

Which of the following expressions are polynomials?(i) x2+4(ii) 4−x−1(iii) 2x2−2x

In the given question, state whether the given statement is True or False.In N÷5 leaves remainder 3 and N÷2 leaves remainder 0, then N÷10 leaves remainder 4.

The perimeter of a rectangular swimming pool is 64m. If its length and breadth are in the ratio of 11 : 5, find the length of the pool (in metre).

(2.) Can you draw a parallelogram BATS where BA=5cm, AT=6cm and AS=6.5cm? Why?

A line is parallel to xy-plane if all the points on the line have equal ______________________.

What is the sum of all interior angles of a convex polygon with seven sides ?

State whether the statements are True or False. Question 33 The points (3,5) and (5,3) represent the same point.

Factorise the trinomial x2−x−12.

Find the relation between the sides of triangle in figure

If a number ends in 5 zeros, its square ends in: A. 5 zeros B. 8 zeros C. 10 zeros D. 12 zeros

If the circumference of a pan pizza is 88 cm, then find the length of the straight sides of the pizza slice if the pizza is cut into four equal pieces? (Take π=227)

37 In quadrilateral ABCD,diagonals AC and BD intersect at O such that OA = OC .Ratio of areas of Δ ABD and Δ BCD will be

Write the quotient and remainder when we divide. x4−2x2+2x2+x+4 by x2+x+1

Define a new operation * on the set of all natural numbers by m * n = m2 + n2.(i) Is N closed under *?(ii) Is * commutative on N?(iii) Is * associative on N?(iv) Is there an identity element in N with respect to *?

Match the numbers with their squares.1. 16a. 3612. 23b. 2563. 19c. 6254. 25d. 529

Construct a triangle PQR, given that PQ = 5.6 cm, PR = 7 cm and QR = 4.5 cm.

∫ ex1-x1+x22 dx is equal to (a) ex1+x+C (b) -ex1+x2+C (c) ex(1+x2)2+C (d) -ex(1+x2)2+C

Three prizes are to be distributed in a quiz contest. The value of second prize is 5/6 of the value of first prize and the value of third prize is 4/5 of the second prize. If the total value of three prizes is Rs. 1500, then find the value of each prize. (in order of 1st, 2nd &amp; 3rd)

{ Let }\vec a=2^ i+^ j-^ k and }\vec b=4^ i-3^ j+5^ k. Find component vector of }\vec a along }\vec b and also find }}{ perpendicular component of }\vec a and }\vec b .

Which of the following is a perfect cube?

Factorise : 8+6(a+b)−5(a+b)2

Question 103(iii) Verify - (- x) = x for x=13−15

To complete a work, A takes 50% more time than B. If together they take 18 days to complete the work, how much time shall B take to do it? (a) 30 days (b) 35 days (c) 40 days (d) 45 days

Question 1 (viii)What will be the unit digit of the squares of the following number:99880

If the number of days overdue is directly proportional to the fine, determine the amount of fine to be paid at the end of 7 days.

What sum will become Rs 9826 in 18 months if the rate of interest is 212% per annum and the interest is compounded half-yearly? [4 MARKS]

Question 117Solve the following question:Find the area of a square field, if its perimeter is 96 m.

Forhow many values of k does the following system of equations have at-least onesolution? x+y=1; kx+y=3; x+ky=5;

Question 20 The following pie chart represents the distribution of proteins in parts of human body. What is the ratio of distribution of proteins in the muscles to that of proteins in the bones? (a) 3 : 1 (b) 1 : 2 (c) 1 : 3 (d) 2 : 1

25. The plane passing through the point (-2,-2,-3)and containing the line joining the point (1,1,1) and (1,-2,2)makes an intercept a, b, c, along X,Y and Z axis respectively, then 1/a + 1/b + 1/c will be. (A) 3 (B)4 (C)6 (D) 1

A line is passing through a point (0,−12). This line is perpendicular to the line having slope of 5. Find the equation of this line.

Question 109(ii)Verify the property x×(y×z)=(x×y)×z of rational numbers by usingx=23,y=−37 and z=12and what is the name of this property?

Write the generalised form of 85.

In the natural numbers from 10 to 250, how many are divisible by 4?

The rectangle below has an area of 32x3 square meters and a length of 4x2 square meters.What is the width of the rectangle?

The length of a rectangular field is 2 less than twice of the breadth. What is its area if the breadth is b cm?

An article is sold at two discounts of 40% each. The overall discount is ___ .

Question 126Solve the following question:8649 students were sitting in a lecture room in such a manner that there were as many students in the row as there were rows in the lecture room. How many students were there in each row of the lecture room?

9. n(A) = 20 , n(B) = 18 and n(A intersection B) = 5, then n(A-B) is?

What are the different combinations of 2 digits possible out of 6 digits 1,2,3,4,5,6?

A man invests ₹ 6,000 at a certain rate of interest, compounded annually. At the end of one year, it amounts to ₹ 6,600. What is the rate of interest per annum?

13. Find domain F(x)=1-x-4x+5

(i) Find the additive inverse of sum of 238 and (-345).(ii) Find the value of x where x-17=0.

In below number find the numbers which are divisible by both 3 and 6? 58900, 589410, 456722, 765424.

If (x+1x)=4, find the value of (i) If (x2+1x2) and (ii) (x4+1x4)

Question 41(i)Write the X-coordinate (abscissa) of the given point.(7,3)

Which of the following is the correct expression about the ordered pairs on the coordinate plane?

Define a new operation * on the set of all natural numbers by m * n = m2 + n2.(i) Is N closed under ?(ii) Is commutative on N?(iii) Is * associative on N?(iv) Is there an identity element in N with respect to *?

Three prizes are to be distributed in a quiz contest. The value of second prize is 5/6 of the value of first prize and the value of third prize is 4/5 of the second prize. If the total value of three prizes is Rs. 1500, then find the value of each prize. (in order of 1st, 2nd & 3rd)