25365 + Interview Questions in Mathematics Page 35 InterviewSolution

1701.	There is a box containing 10 ping pong balls of 3 different colours red, green and blue. There are 2 red balls and 3 green balls. What is the probability of getting a blue ball in the first attempt?
Answer» There is a box containing 10 ping pong balls of 3 different colours red, green and blue. There are 2 red balls and 3 green balls. What is the probability of getting a blue ball in the first attempt?

Discussion

1702.	Sanjay bought 12 registers for ₹156, find the cost of 8 registers.
Answer» Sanjay bought 12 registers for ₹156, find the cost of 8 registers.

Discussion

1703.	If a % is the discount on a marked price x, then discount is:
Answer» If a $%$ is the discount on a marked price x, then discount is:

Discussion

1704.	If the length of each side of a cube is reduced by one-third of its original volume, then express its new volume as a fraction of its original volume.
Answer» If the length of each side of a cube is reduced by one-third of its original volume, then express its new volume as a fraction of its original volume.

Discussion

1705.	(2113 + 1893)(2112 + 1892 − 211 × 189) =
Answer» $\frac{(211^{3} + 189^{3})}{(211^{2} + 189^{2} - 211 \times 189)} =$

Discussion

1706.	On dividing (24xy2)(z2) by 6yz2, we get
Answer» On dividing $(24 x y^{2}) (z^{2})$ by $6 y z^{2}$ , we get

Discussion

1707.	The perimeter of rectangular field is 50 m. If the length of the field is 13 m. Find the area of the field.
Answer» The perimeter of rectangular field is 50 m. If the length of the field is 13 m. Find the area of the field.

Discussion

1708.	The perimeter of a triangle is 10 metres and the lengths of two of its sides are and . What is the ratio of its sides?
Answer» The perimeter of a triangle is 10 metres and the lengths of two of its sides are and . What is the ratio of its sides?

Discussion

1709.	Find the unit digit 13^{1001 }×7^{133^{}}×2^{14
Answer» Find the unit digit 13^{1001 }×7^{133^{}}×2^{14

Discussion

1710.	Four alternative options are given for each of the following statements. Select the correct option.A book marked Rs 250 was sold for Rs 200 after discount. The percentage of discount is:A. 10B. 30C. 20D. 25
Answer» Four alternative options are given for each of the following statements. Select the correct option. A book marked Rs 250 was sold for Rs 200 after discount. The percentage of discount is: A. 10 B. 30 C. 20 D. 25

1710.

Four alternative options are given for each of the following statements. Select the correct option.A book marked Rs 250 was sold for Rs 200 after discount. The percentage of discount is:A. 10B. 30C. 20D. 25

Answer»

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

Select the correct option.

A book marked Rs 250 was sold for Rs 200 after discount. The percentage of discount is:

A. 10

B. 30

C. 20

D. 25

Discussion

1711.	2. Find the radius and circumference of a circle, whose area is : (i) 154 cm2 (ii) 6.16 m2
Answer» 2. Find the radius and circumference of a circle, whose area is : (i) 154 $c m^{2}$ (ii) 6.16 $m^{2}$

1711.

2. Find the radius and circumference of a circle, whose area is : (i) 154 cm2 (ii) 6.16 m2

Answer»

2. Find the radius and circumference of a circle, whose area is :

(i) 154 $c m^{2}$ (ii) 6.16 $m^{2}$

Discussion

1712.	AB and CD are equal chords of a circle of radius 20 cm. If O is the centre of circle and OF = 16 cm, find EB.12
Answer» AB and CD are equal chords of a circle of radius 20 cm. If O is the centre of circle and OF = 16 cm, find EB. 12

Discussion

1713.	Question 88Length and breadth of the floor of a room are 5 m and 3 m respectively. Forty tiles, each with area 116m2 are used to cover the floor partially. Find the ratio of the tiled to the non-tiled portion of the floor.
Answer» Question 88 Length and breadth of the floor of a room are 5 m and 3 m respectively. Forty tiles, each with area $\frac{1}{16} m^{2}$ are used to cover the floor partially. Find the ratio of the tiled to the non-tiled portion of the floor.

1713.

Question 88Length and breadth of the floor of a room are 5 m and 3 m respectively. Forty tiles, each with area 116m2 are used to cover the floor partially. Find the ratio of the tiled to the non-tiled portion of the floor.

Answer»

Question 88

Length and breadth of the floor of a room are 5 m and 3 m respectively. Forty tiles, each with area $\frac{1}{16} m^{2}$ are used to cover the floor partially. Find the ratio of the tiled to the non-tiled portion of the floor.

Discussion

1714.	Can you find two integers m, n such that 2m+n = 2mn?
Answer» Can you find two integers m, n such that 2^m+n= 2^mn?

Discussion

1715.	Write the quotient and remainder when we divide. (14x2−53x+45) by (7x−9)
Answer» Write the quotient and remainder when we divide. $(14 x^{2} - 53 x + 45)$ by $(7 x - 9)$

1715.

Write the quotient and remainder when we divide. (14x2−53x+45) by (7x−9)

Answer»

Write the quotient and remainder when we divide.

$(14 x^{2} - 53 x + 45)$ by $(7 x - 9)$

Discussion

1716.	The sum of exterior angles of a polygon (in degrees) with 10 sides is ___.
Answer» The sum of exterior angles of a polygon (in degrees) with 10 sides is ___.

Discussion

1717.	Question (viii)Find the cube root of each of the following numbers by prime factorization method:46656
Answer» Question (viii) Find the cube root of each of the following numbers by prime factorization method: 46656

Discussion

1718.	Fill in the Blanks Question 18 All points with Y-coordinates as zero lie on the ___.
Answer» Fill in the Blanks Question 18 All points with Y-coordinates as zero lie on the ___.

Discussion

1719.	The product of (7x−4y) and (3x−7y) is .
Answer» The product of $(7 x - 4 y)$ and $(3 x - 7 y)$ is .

Discussion

1720.	Show that (−√−1)4n+3=i, where n is a positive integer.
Answer» Show that $(- \sqrt{- 1})^{4 n + 3} = i$ , where n is a positive integer.

Discussion

1721.

Plot the points (x, y) given in the following table on the plane, choosing suitable units of distance on the axes. x -2 -1 0 1 3 y 8 7 -1.25 3 -1

Answer» Plot the points (x, y) given in the following table on the plane, choosing suitable units of distance on the axes.

x	-2	-1	0	1	3
y	8	7	-1.25	3	-1

Discussion

1722.	elements of symmetry
Answer» elements of symmetry

Discussion

1723.	A side of a square was increased 4 times. What was the change in Area?
Answer» A side of a square was increased 4 times. What was the change in Area?

Discussion

1724.	8. Curved surface area of a cylinder is 2/3rd of its total surface area. If its total surface area is 231m square, then find its volume
Answer» 8. Curved surface area of a cylinder is 2/3rd of its total surface area. If its total surface area is 231m square, then find its volume

Discussion

1725.	Determine the equation of the line in each of the following graphs:
Answer» Determine the equation of the line in each of the following graphs:

1725.

Determine the equation of the line in each of the following graphs:

Answer»

Determine the equation of the line in each of the following graphs:

Discussion

1726.	Calculate the amount on a sum of ₹ 6000 for 1 year at an interest rate of 10% per annum compounded half-yearly.
Answer» Calculate the amount on a sum of ₹ 6000 for 1 year at an interest rate of $10 %$ per annum compounded half-yearly.

Discussion

1727.	Vidhya has taken a loan of ₹12,000 at the simple interest rate of 10% per annum for 5 years. If she paid ₹6,000 at the end of first year, how much will she pay at the end of 5 years?10080
Answer» Vidhya has taken a loan of ₹12,000 at the simple interest rate of 10% per annum for 5 years. If she paid ₹6,000 at the end of first year, how much will she pay at the end of 5 years? 10080

Discussion

1728.	A teacher has 1534 cubes in a box. If she distributes 1415 cubes to students, then the number of cubes left in the box is .
Answer» A teacher has $15 \frac{3}{4}$ cubes in a box. If she distributes $14 \frac{1}{5}$ cubes to students, then the number of cubes left in the box is .

Discussion

1729.	√3375*1/15
Answer» √3375*1/15

Discussion

1730.	How many 5 digit numbers can be formed from the digits 0,1,3,7,9 without repeatition?
Answer» How many $5$ digit numbers can be formed from the digits $0, 1, 3, 7, 9$ without repeatition?

Discussion

1731.	Subtract 5x−2x2 from 3x+7x2.
Answer» Subtract $5 x - 2 x^{2}$ from $3 x + 7 x^{2}$ .

Discussion

1732.	In a state, 1720 of total number of voters voted for candidate A whereas 215 of voters voted for candidate B. Find the fraction of the voters who voted for candidates other than A and B.
Answer» In a state, $\frac{17}{20}$ of total number of voters voted for candidate A whereas $\frac{2}{15}$ of voters voted for candidate B. Find the fraction of the voters who voted for candidates other than A and B.

Discussion

1733.	Question 55 The common factor method of factorisation for a polynomial is based on ___ property.
Answer» Question 55 The common factor method of factorisation for a polynomial is based on ___ property.

1733.

Question 55 The common factor method of factorisation for a polynomial is based on ___ property.

Answer»

Question 55

The common factor method of factorisation for a polynomial is based on ___ property.

Discussion

1734.	What is the least perfect square which leaves the remainder 1 when divided by 7 as well as by 11?
Answer» What is the least perfect square which leaves the remainder 1 when divided by 7 as well as by 11?

Discussion

1735.	A football team won 10 matches out of the total number of matches they played. If their win percentage was 40, then how many matches did they play in all?
Answer» A football team won $10$ matches out of the total number of matches they played. If their win percentage was $40$ , then how many matches did they play in all?

Discussion

1736.	In the given figure, AB \|\| CD, then the value of x is
Answer» In the given figure, AB \|\| CD, then the value of x is

Discussion

1737.	Find the cube root of 46656 by prime factorisation method.
Answer» Find the cube root of 46656 by prime factorisation method.

Discussion

1738.	The number of integral values of λ for which x2+y2+λx+(1−λ)y+5=0 is the equation of a circle whose radius cannot exceed 5, is
Answer» The number of integral values of $λ$ for which $x^{2} + y^{2} + λ x + (1 - λ) y + 5 = 0$ is the equation of a circle whose radius cannot exceed 5, is

Discussion

1739.	In which of the following quadrilaterals, diagonals do not bisect each other
Answer» In which of the following quadrilaterals, diagonals do not bisect each other

Discussion

1740.	Question 29Tally marks are used to find(a) class intervals(b) range(c) frequency(d) upper limit
Answer» Question 29 Tally marks are used to find (a) class intervals (b) range (c) frequency (d) upper limit

1740.

Question 29Tally marks are used to find(a) class intervals(b) range(c) frequency(d) upper limit

Answer»

Question 29

Tally marks are used to find

(a) class intervals

(b) range

(c) frequency

(d) upper limit

Discussion

1741.	Find the value of x in each figure.
Answer» Find the value of $x$ in each figure.

Discussion

1742.	If a2–b2=72 and (a - b) = 4 then (a + b) is ________
Answer» If $a^{2} - b^{2} = 72$ and (a - b) = 4 then (a + b) is ________

Discussion

1743.	Using identities, evaluate 297 × 303 = ___.
Answer» Using identities, evaluate 297 $\times$ 303 = ___.

Discussion

1744.	Question 132Solve the following question:The area of a square plot is 1011400 m2. Find the length of one side of the plot.
Answer» Question 132 Solve the following question: The area of a square plot is $101 \frac{1}{400} m^{2}$ . Find the length of one side of the plot.

1744.

Question 132Solve the following question:The area of a square plot is 1011400 m2. Find the length of one side of the plot.

Answer»

Question 132

Solve the following question:

The area of a square plot is $101 \frac{1}{400} m^{2}$ . Find the length of one side of the plot.

Discussion

1745.	Question 69(iv)The following graph shows the number of people present at a certain shop at different times. Observe the graph and answer the following questions.How many people enter the shop when it opens?
Answer» Question 69(iv) The following graph shows the number of people present at a certain shop at different times. Observe the graph and answer the following questions. How many people enter the shop when it opens?

Discussion

1746.	Question 85 (xiii) Expand the following, using suitable identities. (a2+b2)2
Answer» Question 85 (xiii) Expand the following, using suitable identities. $(a^{2} + b^{2})^{2}$

1746.

Question 85 (xiii) Expand the following, using suitable identities. (a2+b2)2

Answer»

Question 85 (xiii)

Expand the following, using suitable identities.

$(a^{2} + b^{2})^{2}$

Discussion

1747.	The value of 162+122 is equal to
Answer» The value of $16^{2} + 12^{2}$ is equal to

Discussion

1748.	How much should the pressure be increased in order to decrease the volume of a gas by 5% at constant temperature
Answer» How much should the pressure be increased in order to decrease the volume of a gas by 5% at constant temperature

Discussion

1749.	If product of two numbers is 1014 and their H.C.F. is 13, then number of such pairs is
Answer» If product of two numbers is $1014$ and their $H.C.F.$ is $13,$ then number of such pairs is

Discussion

1750.	Integration of (sinx-tanx) square
Answer» Integration of (sinx-tanx) square

Discussion

Explore topic-wise InterviewSolutions in .

There is a box containing 10 ping pong balls of 3 different colours red, green and blue. There are 2 red balls and 3 green balls. What is the probability of getting a blue ball in the first attempt?

Sanjay bought 12 registers for ₹156, find the cost of 8 registers.

If a % is the discount on a marked price x, then discount is:

If the length of each side of a cube is reduced by one-third of its original volume, then express its new volume as a fraction of its original volume.

(2113 + 1893)(2112 + 1892 − 211 × 189) =

On dividing (24xy2)(z2) by 6yz2, we get

The perimeter of rectangular field is 50 m. If the length of the field is 13 m. Find the area of the field.

The perimeter of a triangle is 10 metres and the lengths of two of its sides are and . What is the ratio of its sides?

Find the unit digit 13^{1001 }×7^{133^{}}×2^{14

Four alternative options are given for each of the following statements. Select the correct option.A book marked Rs 250 was sold for Rs 200 after discount. The percentage of discount is:A. 10B. 30C. 20D. 25

2. Find the radius and circumference of a circle, whose area is : (i) 154 cm2 (ii) 6.16 m2

AB and CD are equal chords of a circle of radius 20 cm. If O is the centre of circle and OF = 16 cm, find EB.12

Question 88Length and breadth of the floor of a room are 5 m and 3 m respectively. Forty tiles, each with area 116m2 are used to cover the floor partially. Find the ratio of the tiled to the non-tiled portion of the floor.

Can you find two integers m, n such that 2m+n = 2mn?

Write the quotient and remainder when we divide. (14x2−53x+45) by (7x−9)

The sum of exterior angles of a polygon (in degrees) with 10 sides is ___.

Question (viii)Find the cube root of each of the following numbers by prime factorization method:46656

Fill in the Blanks Question 18 All points with Y-coordinates as zero lie on the ___.

The product of (7x−4y) and (3x−7y) is .

Show that (−√−1)4n+3=i, where n is a positive integer.

Plot the points (x, y) given in the following table on the plane, choosing suitable units of distance on the axes. x -2 -1 0 1 3 y 8 7 -1.25 3 -1

elements of symmetry

A side of a square was increased 4 times. What was the change in Area?

8. Curved surface area of a cylinder is 2/3rd of its total surface area. If its total surface area is 231m square, then find its volume

Determine the equation of the line in each of the following graphs:

Calculate the amount on a sum of ₹ 6000 for 1 year at an interest rate of 10% per annum compounded half-yearly.

Vidhya has taken a loan of ₹12,000 at the simple interest rate of 10% per annum for 5 years. If she paid ₹6,000 at the end of first year, how much will she pay at the end of 5 years?10080

A teacher has 1534 cubes in a box. If she distributes 1415 cubes to students, then the number of cubes left in the box is .

√3375*1/15

How many 5 digit numbers can be formed from the digits 0,1,3,7,9 without repeatition?

Subtract 5x−2x2 from 3x+7x2.

In a state, 1720 of total number of voters voted for candidate A whereas 215 of voters voted for candidate B. Find the fraction of the voters who voted for candidates other than A and B.

Question 55 The common factor method of factorisation for a polynomial is based on ___ property.

What is the least perfect square which leaves the remainder 1 when divided by 7 as well as by 11?

A football team won 10 matches out of the total number of matches they played. If their win percentage was 40, then how many matches did they play in all?

In the given figure, AB || CD, then the value of x is​

Find the cube root of 46656 by prime factorisation method.

The number of integral values of λ for which x2+y2+λx+(1−λ)y+5=0 is the equation of a circle whose radius cannot exceed 5, is

In which of the following quadrilaterals, diagonals do not bisect each other

Question 29Tally marks are used to find(a) class intervals(b) range(c) frequency(d) upper limit

Find the value of x in each figure.

If a2–b2=72 and (a - b) = 4 then (a + b) is ________

Using identities, evaluate 297 × 303 = ___.

Question 132Solve the following question:The area of a square plot is 1011400 m2. Find the length of one side of the plot.

Question 69(iv)The following graph shows the number of people present at a certain shop at different times. Observe the graph and answer the following questions.How many people enter the shop when it opens?

Question 85 (xiii) Expand the following, using suitable identities. (a2+b2)2

The value of 162+122 is equal to

How much should the pressure be increased in order to decrease the volume of a gas by 5% at constant temperature

If product of two numbers is 1014 and their H.C.F. is 13, then number of such pairs is

Integration of (sinx-tanx) square

In the given figure, AB || CD, then the value of x is