25365 + Interview Questions in Mathematics Page 19 InterviewSolution

901.	A hollow cylindrical tank is filled up with water. The radius of the cylinder is 'r' and height is 1m. The volume of the tank is 15.4L(1000L=1m3). Find the total surface are of the tank.
Answer» A hollow cylindrical tank is filled up with water. The radius of the cylinder is 'r' and height is 1m. The volume of the tank is 15.4L(1000L=1m3). Find the total surface are of the tank.

Discussion

902.	37. No. Of integral points lying within the circle x2+y2 = 36 is
Answer» 37. No. Of integral points lying within the circle x2+y2 = 36 is

Discussion

903.	If the discount is 10%, an item sold at ₹ 9 , has a marked price of _______
Answer» If the discount is $10 %$ , an item sold at ₹ 9 , has a marked price of _______

Discussion

904.	12018 >
Answer» $1^{2018}$ >

Discussion

905.	24. If (Cl)- is reduced to 100 timed from 1M the value of E(red) will be
Answer» 24. If (Cl)- is reduced to 100 timed from 1M the value of E(red) will be

Discussion

906.	50. Construct a trapezium pqrs in which pq=4.5cm,rs=8cm,p=120o,r=45o
Answer» 50. Construct a trapezium pqrs in which pq=4.5cm,rs=8cm,p=120o,r=45o

Discussion

907.	The given data shows the weights (in kg) of students for a class of 8:45, 25, 35, 20, 30, 40, 50, x. One of the values is missing. It is known that the average weight of class is 35. What is the value of x?
Answer» The given data shows the weights (in kg) of students for a class of 8: 45, 25, 35, 20, 30, 40, 50, $x$ . One of the values is missing. It is known that the average weight of class is 35. What is the value of $x$ ?

Discussion

908.	Question 19 The perimeter of a trapezium is 52 cm and its each non-parallel side is equal to 10 cm with its height 8 cm. Its area is (a) 124 cm2 (b) 118 cm2 (c) 128 cm2 (d) 112 cm2
Answer» Question 19 The perimeter of a trapezium is 52 cm and its each non-parallel side is equal to 10 cm with its height 8 cm. Its area is $(a) 124 c m^{2}$ $(b) 118 c m^{2}$ $(c) 128 c m^{2}$ $(d) 112 c m^{2}$

908.

Question 19 The perimeter of a trapezium is 52 cm and its each non-parallel side is equal to 10 cm with its height 8 cm. Its area is (a) 124 cm2 (b) 118 cm2 (c) 128 cm2 (d) 112 cm2

Answer»

Question 19

The perimeter of a trapezium is 52 cm and its each non-parallel side is equal to 10 cm with its height 8 cm. Its area is

$(a) 124 c m^{2}$
$(b) 118 c m^{2}$
$(c) 128 c m^{2}$
$(d) 112 c m^{2}$

Discussion

909.	Determine whether the following is a statistical question, if data pertaining to internet searches is available. How many internet searches do residents at Jacque’s retirement home perform each day? (Yes/No) __
Answer» Determine whether the following is a statistical question, if data pertaining to internet searches is available. How many internet searches do residents at Jacque’s retirement home perform each day? (Yes/No) __

909.

Determine whether the following is a statistical question, if data pertaining to internet searches is available. How many internet searches do residents at Jacque’s retirement home perform each day? (Yes/No) __

Answer»

Determine whether the following is a statistical question, if data pertaining to internet searches is available.

How many internet searches do residents at Jacque’s retirement home perform each day? (Yes/No)

__

Discussion

910.	Construct a kite KIPS in which KI = KS =3.5 cm, IP = SP = 4.5 cm and KP = 6 cm
Answer» Construct a kite KIPS in which KI = KS =3.5 cm, IP = SP = 4.5 cm and KP = 6 cm

Discussion

911.	Given below is the frequency distribution of the heights of 50 students of a class: Classinterval:140−145145−150150−155155−160160−165Frequency:81218105 Draw a histogram representing the above data.
Answer» Given below is the frequency distribution of the heights of 50 students of a class: $\begin{matrix} C l a s s i n t e r v a l : & 140 - 145 & 145 - 150 & 150 - 155 & 155 - 160 & 160 - 165 F r e q u e n c y : & 8 & 12 & 18 & 10 & 5 \end{matrix}$ Draw a histogram representing the above data.

911.

Given below is the frequency distribution of the heights of 50 students of a class: Classinterval:140−145145−150150−155155−160160−165Frequency:81218105 Draw a histogram representing the above data.

Answer»

Given below is the frequency distribution of the heights of 50 students of a class:

$\begin{matrix} C l a s s i n t e r v a l : & 140 - 145 & 145 - 150 & 150 - 155 & 155 - 160 & 160 - 165 F r e q u e n c y : & 8 & 12 & 18 & 10 & 5 \end{matrix}$
Draw a histogram representing the above data.

Discussion

912.	A family of 5 persons can be maintained for 20 days with ₹ 2480. Find how much money is needed for 8 people for 35 days.
Answer» A family of 5 persons can be maintained for 20 days with ₹ 2480. Find how much money is needed for 8 people for 35 days.

912.

A family of 5 persons can be maintained for 20 days with ₹ 2480. Find how much money is needed for 8 people for 35 days.

Answer»

A family of 5 persons can be maintained for 20 days with ₹ 2480. Find how much money is needed for 8 people for 35 days.

Discussion

913.	A motorist travelled 122 kilometres before his first stop. If he had 10% of his journey to complete at this point, how long was the total ride?
Answer» A motorist travelled 122 kilometres before his first stop. If he had 10% of his journey to complete at this point, how long was the total ride?

Discussion

914.	Divide and write the quotient and the remainder.(1) (y2 + 10y + 24) ÷ (y + 4)(2) (p2 + 7p − 5) ÷ (p + 3)(3) (3x + 2x2 + 4x3) ÷ (x − 4)(4) (2m3 + m2 + m + 9) ÷ (2m − 1)(5) (3x − 3x2 − 12 + x4 + x3) ÷ (2 + x2)(6) (a4 − a3 + a2 − a + 1) ÷ (a3 − 2)(7) (4x4 − 5x3 − 7x + 1) ÷ (4x − 1)
Answer» Divide and write the quotient and the remainder. (1) (y² + 10y + 24) ÷ (y + 4) (2) (p² + 7p − 5) ÷ (p + 3) (3) (3x + 2x² + 4x³) ÷ (x − 4) (4) (2m³ + m² + m + 9) ÷ (2m − 1) (5) (3x − 3x² − 12 + x⁴ + x³) ÷ (2 + x²) (6) (a⁴ − a³ + a² − a + 1) ÷ (a³ − 2) (7) (4x⁴ − 5x³ − 7x + 1) ÷ (4x − 1)

Discussion

915.	The bar chart for the data given in the frequency table is shown below. For which year the data in graph is incorrectly represented?
Answer» The bar chart for the data given in the frequency table is shown below. For which year the data in graph is incorrectly represented?

Discussion

916.	If ΔABC is an equilateral triangle such that AD is perpendicular to BC, then AD2 = ___.
Answer» If $Δ A B C$ is an equilateral triangle such that $A D$ is perpendicular to $B C,$ then $A D^{2}$ = ___.

Discussion

917.	An altitude has one end point at a vertex of the triangle and the other on the line containing the opposite side, then how many altitudes does a triangle have?
Answer» An altitude has one end point at a vertex of the triangle and the other on the line containing the opposite side, then how many altitudes does a triangle have?

Discussion

918.	The area of an isosceles triangle EFG is 60m2 and EF=EG=13m.find the measure of FG.undefinedundefinedundefinedundefined
Answer» The area of an isosceles triangle EFG is 60m2 and EF=EG=13m.find the measure of FG. undefined undefined undefined undefined

Discussion

919.	Determine the midpoint of the points where the x-intercept is 9 and the y-intercept is 6.
Answer» Determine the midpoint of the points where the $x$ -intercept is $9$ and the $y$ -intercept is $6.$

Discussion

920.	Question 1(ii)Find the common factors of the given terms.2y,22xy
Answer» Question 1(ii) Find the common factors of the given terms. $2 y, 22 x y$

Discussion

921.	Question 75A typist has to type a manuscript of 40 pages. She has typed 30 pages of the manuscript. What is the ratio of the number of pages typed to the number of pages left?
Answer» Question 75 A typist has to type a manuscript of 40 pages. She has typed 30 pages of the manuscript. What is the ratio of the number of pages typed to the number of pages left?

921.

Question 75A typist has to type a manuscript of 40 pages. She has typed 30 pages of the manuscript. What is the ratio of the number of pages typed to the number of pages left?

Answer»

Question 75

A typist has to type a manuscript of 40 pages. She has typed 30 pages of the manuscript. What is the ratio of the number of pages typed to the number of pages left?

Discussion

922.	Question 58(i)Study the distance-time graph given below for a car to travel to certain places and answer the question that follows.How far does the car travel in 2 h?
Answer» Question 58(i) Study the distance-time graph given below for a car to travel to certain places and answer the question that follows. How far does the car travel in 2 h?

Discussion

923.	12 centimetres, 25 centimetres
Answer» 12 centimetres, 25 centimetres

923.

12 centimetres, 25 centimetres

Answer»

12 centimetres, 25 centimetres

Discussion

924.	I had some money with me. I bought a heavy painting for some price, transported it to my house and sold it for some price. If I am calculating profit made, what will be the effective cost price?
Answer» I had some money with me. I bought a heavy painting for some price, transported it to my house and sold it for some price. If I am calculating profit made, what will be the effective cost price?

Discussion

925.	How to find multiplicative inverse of any rational number?
Answer» How to find multiplicative inverse of any rational number?

Discussion

926.	The below question consists of a related pair of figures (problem pair) and followed by four answer pairs marked as (A), (B), (C) and (D). Out of these four, three have relationship similar to that in the problem pair. Only one pair of figures does not have similar relationship. You have to select that pair of figures which does not have a relationship similar to that in the problem pair.
Answer» The below question consists of a related pair of figures (problem pair) and followed by four answer pairs marked as (A), (B), (C) and (D). Out of these four, three have relationship similar to that in the problem pair. Only one pair of figures does not have similar relationship. You have to select that pair of figures which does not have a relationship similar to that in the problem pair.

Discussion

927.	21. x=1-2,find the value of (x-1/x)cube
Answer» 21. x=1-2,find the value of (x-1/x)cube

Discussion

928.	Find the value of x to balance the equation. 6x−33=53
Answer» Find the value of $x$ to balance the equation. $\frac{6 x - 3}{3} = 5$ 3

Discussion

929.	In the adjoining figure, ABCD is a quadrilateral. (i) How many pairs of adjacent sides are there? Name them. (ii) How many pairs of opposite sides are there? Name them. (iii) How many pairs of adjacent angles are there? Name them. (iv) How many pairs of opposite angles are there? Name them. (v) How many diagonals are there? Name them.
Answer» In the adjoining figure, ABCD is a quadrilateral. (i) How many pairs of adjacent sides are there? Name them. (ii) How many pairs of opposite sides are there? Name them. (iii) How many pairs of adjacent angles are there? Name them. (iv) How many pairs of opposite angles are there? Name them. (v) How many diagonals are there? Name them.

929.

In the adjoining figure, ABCD is a quadrilateral. (i) How many pairs of adjacent sides are there? Name them. (ii) How many pairs of opposite sides are there? Name them. (iii) How many pairs of adjacent angles are there? Name them. (iv) How many pairs of opposite angles are there? Name them. (v) How many diagonals are there? Name them.

Answer»

In the adjoining figure, ABCD is a quadrilateral.
(i) How many pairs of adjacent sides are there? Name them.
(ii) How many pairs of opposite sides are there? Name them.
(iii) How many pairs of adjacent angles are there? Name them.
(iv) How many pairs of opposite angles are there? Name them.
(v) How many diagonals are there? Name them.

Discussion

930.	Express −4860 as a rational number with denominator 5.
Answer» Express $\frac{- 48}{60}$ as a rational number with denominator $5$ .

Discussion

931.	The denominator of a rational number is greater than its numerator by 3. If the numeratoris increased by 7 and the denominator is decreased by 1, the new number becomes 32.Find the original number.
Answer» The denominator of a rational number is greater than its numerator by 3. If the numeratoris increased by 7 and the denominator is decreased by 1, the new number becomes $\frac{3}{2}$ .Find the original number.

Discussion

932.	Use the information given in the following figure to find:(1) x(2) ∠B and ∠C
Answer» Use the information given in the following figure to find: (1) x (2) $∠ B$ and $∠ C$

Discussion

933.	The parallel sides of a trapezium are 12 cm and 16 cm and the perpendicular distance between them is 5 cm. Find its area
Answer» The parallel sides of a trapezium are 12 cm and 16 cm and the perpendicular distance between them is 5 cm. Find its area

Discussion

934.	Question 105(i)Verify the property x + y = y + x of rational number by takingx=12 and y=12
Answer» Question 105(i) Verify the property x + y = y + x of rational number by taking $x = \frac{1}{2}$ and $y = \frac{1}{2}$

Discussion

935.	It is known that a box of 600 electric bulbs contains 12 defective bulbs. One bulb is taken out at random from this box.What is the probability that it is a non-defective bulb?
Answer» It is known that a box of 600 electric bulbs contains 12 defective bulbs. One bulb is taken out at random from this box.What is the probability that it is a non-defective bulb?

Discussion

936.	Question 86(v)A die is rolled once. What is the probability that the number on top will be a factor of 36
Answer» Question 86(v) A die is rolled once. What is the probability that the number on top will be a factor of 36

936.

Question 86(v)A die is rolled once. What is the probability that the number on top will be a factor of 36

Answer»

Question 86(v)

A die is rolled once. What is the probability that the number on top will be a factor of 36

Discussion

937.	In the adjoining figure PQRS is a rectangle. Identify the congruent triangles formed by the diagonals.
Answer» In the adjoining figure PQRS is a rectangle. Identify the congruent triangles formed by the diagonals.

937.

In the adjoining figure PQRS is a rectangle. Identify the congruent triangles formed by the diagonals.

Answer»

In the adjoining figure PQRS is a rectangle. Identify the congruent triangles formed by the diagonals.

Discussion

938.	Rahim borrowed ₹10,24,000 from a bank for one year. If the bank charges interest of 5% per annum, compounded half-yearly, what amount will he have to pay after the given time period. Also, find the interest paid by him.
Answer» Rahim borrowed ₹10,24,000 from a bank for one year. If the bank charges interest of 5% per annum, compounded half-yearly, what amount will he have to pay after the given time period. Also, find the interest paid by him.

Discussion

939.	Which of the following is not an irrational number?
Answer» Which of the following is not an irrational number?

Discussion

940.	Solve: (35x5+14x3−28x2)÷−7x
Answer» Solve: $(35 x^{5} + 14 x^{3} - 28 x^{2}) \div - 7 x$

Discussion

941.	Solve the following equation for x.5x−46=2+3x2
Answer» $Solve the following equation for x .$ $\frac{5 x - 4}{6} = 2 + \frac{3 x}{2}$

Discussion

942.	Find the value of 282.
Answer» Find the value of $28^{2}$ .

Discussion

943.	If x2−4x−12=(x+m)(x+n),then find the value of (m+n).
Answer» $If x^{2} - 4 x - 12 = (x + m) (x + n)$ , then find the value of $(m + n) .$

Discussion

944.	If x-1x=154, then x+1x=(a) 4(b) 174(c) 134(d) 14
Answer» If $x - \frac{1}{x} = \frac{15}{4}$ , then $x + \frac{1}{x}$ = (a) 4 (b) $\frac{17}{4}$ (c) $\frac{13}{4}$ (d) $\frac{1}{4}$

Discussion

945.	((5z−2)2+40z)(5z+2) =
Answer» $\frac{({(5 z - 2)}^{2} + 40 z)}{(5 z + 2)}$ =

Discussion

946.	Let A={a(1) a(2) a(3) a(4)} where a(1)>a(2)>a(3)>a(4) The total number of unordered pairs of disjoint subsets of A is equal to
Answer» Let A={a(1) a(2) a(3) a(4)} where a(1)>a(2)>a(3)>a(4) The total number of unordered pairs of disjoint subsets of A is equal to

Discussion

947.	If the numbers a, b, c, d, e from an A.P then the value of a -4b + 6c - 4d +e is
Answer» If the numbers a, b, c, d, e from an A.P then the value of a -4b + 6c - 4d +e is

Discussion

948.	Following pictograph shows the number of apples consumed in a family. How many apples are consumed in the month of March?
Answer» Following pictograph shows the number of apples consumed in a family. How many apples are consumed in the month of March?

948.

Following pictograph shows the number of apples consumed in a family. How many apples are consumed in the month of March?

Answer»

Following pictograph shows the number of apples consumed in a family.

How many apples are consumed in the month of March?

Discussion

949.	If a+b = b+a for any two rational numbers a and b, then it satisfies the ___ property of addition for rational numbers.
Answer» If a+b = b+a for any two rational numbers a and b, then it satisfies the ___ property of addition for rational numbers.

Discussion

950.	A circle passes through the origin O and cuts the axis at A(a, 0) and B(0, b). The reflection of O in the line AB is the point
Answer» A circle passes through the origin O and cuts the axis at A(a, 0) and B(0, b). The reflection of O in the line AB is the point

Discussion

Explore topic-wise InterviewSolutions in .

A hollow cylindrical tank is filled up with water. The radius of the cylinder is 'r' and height is 1m. The volume of the tank is 15.4L(1000L=1m3). Find the total surface are of the tank.

37. No. Of integral points lying within the circle x2+y2 = 36 is

If the discount is 10%, an item sold at ₹ 9 , has a marked price of _______

12018 >

24. If (Cl)- is reduced to 100 timed from 1M the value of E(red) will be

50. Construct a trapezium pqrs in which pq=4.5cm,rs=8cm,p=120o,r=45o

The given data shows the weights (in kg) of students for a class of 8:45, 25, 35, 20, 30, 40, 50, x. One of the values is missing. It is known that the average weight of class is 35. What is the value of x?

Question 19 The perimeter of a trapezium is 52 cm and its each non-parallel side is equal to 10 cm with its height 8 cm. Its area is (a) 124 cm2 (b) 118 cm2 (c) 128 cm2 (d) 112 cm2

Determine whether the following is a statistical question, if data pertaining to internet searches is available. How many internet searches do residents at Jacque’s retirement home perform each day? (Yes/No) __

Construct a kite KIPS in which KI = KS =3.5 cm, IP = SP = 4.5 cm and KP = 6 cm

Given below is the frequency distribution of the heights of 50 students of a class: Classinterval:140−145145−150150−155155−160160−165Frequency:81218105 Draw a histogram representing the above data.

A family of 5 persons can be maintained for 20 days with ₹ 2480. Find how much money is needed for 8 people for 35 days.

A motorist travelled 122 kilometres before his first stop. If he had 10% of his journey to complete at this point, how long was the total ride?

The bar chart for the data given in the frequency table is shown below. For which year the data in graph is incorrectly represented?

If ΔABC is an equilateral triangle such that AD is perpendicular to BC, then AD2 = ___.

An altitude has one end point at a vertex of the triangle and the other on the line containing the opposite side, then how many altitudes does a triangle have?

The area of an isosceles triangle EFG is 60m2 and EF=EG=13m.find the measure of FG.undefinedundefinedundefinedundefined

Determine the midpoint of the points where the x-intercept is 9 and the y-intercept is 6.

Question 1(ii)Find the common factors of the given terms.2y,22xy

Question 75A typist has to type a manuscript of 40 pages. She has typed 30 pages of the manuscript. What is the ratio of the number of pages typed to the number of pages left?

Question 58(i)Study the distance-time graph given below for a car to travel to certain places and answer the question that follows.How far does the car travel in 2 h?

12 centimetres, 25 centimetres

I had some money with me. I bought a heavy painting for some price, transported it to my house and sold it for some price. If I am calculating profit made, what will be the effective cost price?

How to find multiplicative inverse of any rational number?

21. x=1-2,find the value of (x-1/x)cube

Find the value of x to balance the equation. 6x−33=53

Express −4860 as a rational number with denominator 5.

The denominator of a rational number is greater than its numerator by 3. If the numeratoris increased by 7 and the denominator is decreased by 1, the new number becomes 32.Find the original number.

Use the information given in the following figure to find:(1) x(2) ∠B and ∠C

The parallel sides of a trapezium are 12 cm and 16 cm and the perpendicular distance between them is 5 cm. Find its area

Question 105(i)Verify the property x + y = y + x of rational number by takingx=12 and y=12

It is known that a box of 600 electric bulbs contains 12 defective bulbs. One bulb is taken out at random from this box.What is the probability that it is a non-defective bulb?

Question 86(v)A die is rolled once. What is the probability that the number on top will be a factor of 36

In the adjoining figure PQRS is a rectangle. Identify the congruent triangles formed by the diagonals.

Rahim borrowed ₹10,24,000 from a bank for one year. If the bank charges interest of 5% per annum, compounded half-yearly, what amount will he have to pay after the given time period. Also, find the interest paid by him.

Which of the following is not an irrational number?​

Solve: (35x5+14x3−28x2)÷−7x

Solve the following equation for x.5x−46=2+3x2

Find the value of 282.

If x2−4x−12=(x+m)(x+n),then find the value of (m+n).

If x-1x=154, then x+1x=(a) 4(b) 174(c) 134(d) 14

((5z−2)2+40z)(5z+2) =

Let A={a(1) a(2) a(3) a(4)} where a(1)>a(2)>a(3)>a(4) The total number of unordered pairs of disjoint subsets of A is equal to

If the numbers a, b, c, d, e from an A.P then the value of a -4b + 6c - 4d +e is

Following pictograph shows the number of apples consumed in a family. How many apples are consumed in the month of March?

If a+b = b+a for any two rational numbers a and b, then it satisfies the ___ property of addition for rational numbers.

A circle passes through the origin O and cuts the axis at A(a, 0) and B(0, b). The reflection of O in the line AB is the point

Which of the following is not an irrational number?