3694 + Interview Questions in Maths in Class 10 Page 43 InterviewSolution

2101.	Kavitha thought of constructing 2 more rooms in her house. She enquired about the labour. She came to know that’s 6 men and 8 women could finish this work in 14 days. But she wishes to complete that work in only 10 days. When she enquired, she was told that 8 men and 12 women could finish the work in 10 days. Find out how much time would be taken to finish thework if one man or one woman worked alone.
Answer» Answer :So ONE man alone can finish the work in 140 DAYS and one WOMAN alone can finish the work in 280 days.

Discussion

2102.	XY is drawn parallel to the base BC of a DeltaABC cutting AB at X and AC at Y. If AB= 4BX and YC = 2cm, then find AY.
Answer» ANSWER :6 CM

Discussion

2103.	Choose the set of numbers from the four alternative sets, which is similar to the given set. Given set : (16, 56, 196)
Answer» (10,35, 245) (20, 65, 215) (24, 84, 294) (40, 140, 280) Solution :`x "" (7)/(2)`

Discussion

2104.	Find the sum of the frst ten terms of the A.P. 8,4,0,-4,-8,……
Answer» ANSWER :`-100`

Discussion

2105.	Find the seventh term of the G.P. : 1,sqrt(3),3,3sqrt(3) . . . . . . . . . . . .
Answer» ANSWER :27

Discussion

2106.	A oil drum is in the shape of a cylinder having the following dimensions: diameter is 2 m and heights is 7 m . The painter charges Rs. 3 per m^2 to paint the drum. Find the total charges to be paid to the painter for 10 drums ?
Answer» ANSWER :RS. 1508.40

Discussion

2107.	Determine whether x-1 is a factor of x^6-x^5+x^4+x^3-x^2-x+1 or not?
Answer» ANSWER :1

Discussion

2108.	Find the value of the middle most term(s) of the AP: -15, -1 1 ,..... 53.
Answer» ANSWER :17 and 21

Discussion

2109.	If the third term of an A.P. is 5 and the seventh terms is 9, find the 17th term.
Answer» ANSWER :19

Discussion

2110.	Points (3, 0) and (-1,0) are invariant points under reflection in the line L_1points (0, -3) and (0, 1) are invariant points on reflection in line L_2 Name or write equations for the lines L_1 andL_2
Answer» ANSWER :`L_1` is X - AXIS and `L_2` is y - axis.

Discussion

2111.	Points (3, 0) and (-1,0) are invariant points under reflection in the line L_1points (0, -3) and (0, 1) are invariant points on reflection in line L_2 Write down the images of points P (3, 4) and Q (-5, -2) on reflection in L_1Name the images as P' and Q' respectively.
Answer» <P> ANSWER :P ' = (3,-4) ; Q' = (-5,2)

Discussion

2112.	Points (3, 0) and (-1,0) are invariant points under reflection in the line L_1points (0, -3) and (0, 1) are invariant points on reflection in line L_2 Write down the images of P (3,4) and Q (-5,-2) on reflection in L_2 Name the images as P" and Q" respectively.
Answer» <P> ANSWER :P'' = (-3,4); Q'' = (5,-2)

Discussion

2113.	Points (3, 0) and (-1,0) are invariant points under reflection in the line L_1points (0, -3) and (0, 1) are invariant points on reflection in line L_2 State or describe a single transformation that maps P' onto P".
Answer» ANSWER :REFLECTION in ORIGIN

Discussion

2114.	Find the roots of the quadratic equations by factorisation: x(x+4)=12
Answer» ANSWER :`-6;2`

Discussion

2115.	A rectangular park is to be designed whose breadth is 3 m less than its length. Its area is to be 4 square metres more than the area of a park that has already been made in the shape of an isosceles triangle with its base as the breadth of the rectangular park and of altitude 12 m. Find its length and breadth.
Answer» ANSWER :breath=4m and LENGTH 7M

Discussion

2116.	P^^Q means (P+Q)/(Q-P)andPvvQ means (Q-P)/(Q+P) Answer the following questions: 5^^7div7vv5
Answer» -36 36 48 -48 Answer :A

Discussion

2117.	The roots of the quadratic equation x^2 + x + =0 are imaginary.
Answer» ANSWER :1

Discussion

2118.	If log_(sqrt2)x +log_(sqrt(sqrt2))x + log_(sqrt(sqrt(sqrt2))) x + … upto 7 terms = 1016, the find the value of x.
Answer» 4 16 64 2 Solution :(i) USE`log_(b^(n))a= (1)/(n) log_(b)a`. (ii) `S_(n) = (a(r^(n)-1))/((r-1))` (III) If `log_ax = b,` then `a^(b) =X`.

Discussion

2119.	"…............." circle (s) can pass through a given point.
Answer» One Two Three Infinite. ANSWER :D

Discussion

2120.	Some numbers are given below. Decide the numbers to which number sets they belong to and does not belong to and express with correct symbols. 1
Answer» ANSWER :`1 in N`

Discussion

2121.	Find h(1) and g(2)
Answer» Answer :h(1) = 1 - 6 + 5 - 2 + 8 = 6 g (2) = 16 - 24 + 9 = 1

Discussion

2122.	Solve each the following pairs of equations by reducing them to a pair of linear equations. (iv) 6x + 3y = 6xy 2x + 4y = 5xy
Answer» ANSWER :(1,2)

Discussion

2123.	Find the area (in cm^(2)) of the circle that can be inscribed in a square of side 8 cm.
Answer» ANSWER :`16 PI " " CM^(2)`

Discussion

2124.	Ramesh deposits 2,400 per month in a recurring deposit scheme of a bank for one year. If he gets 1248 as interest at the time of maturity, find the rate of interest Also, find the maturity value of this deposit.
Answer» ANSWER :` 8 % and " RUPES "30.048`

Discussion

2125.	Find the 24th term of the sequence: 12,10,8,6…..
Answer» ANSWER :`-34`

Discussion

2126.	Indian Army is the third biggest military contingent in the World next to USA and China. However, there are many firsts that make Indian army stand out in the world, making us all Indians very proud. Knowing them, will help you celebrate Republic day with greater vigour and gratitude. On 71th republic day Parade in Delhi Captian RS Meel is planing for parade of following two group: (a) First group of Army contingent of 624 members behind an army band of 32 members. (b) Second group of CRPF troops with 468 soldiers behind the 228 members of bikers. These two groups are to march in the same number of columns. This sequence of soldiers is followed by different states Jhanki which are showing the culture of the respective states. What is the maximum number of columns in which the army troop can march?
Answer» 8 16 4 32 Solution :We will find the HCF (624, 32) = 16 Thus (B) is correct option.

Discussion

2127.	Indian Army is the third biggest military contingent in the World next to USA and China. However, there are many firsts that make Indian army stand out in the world, making us all Indians very proud. Knowing them, will help you celebrate Republic day with greater vigour and gratitude. On 71th republic day Parade in Delhi Captian RS Meel is planing for parade of following two group: (a) First group of Army contingent of 624 members behind an army band of 32 members. (b) Second group of CRPF troops with 468 soldiers behind the 228 members of bikers. These two groups are to march in the same number of columns. This sequence of soldiers is followed by different states Jhanki which are showing the culture of the respective states. What is the maximum number of columns in which the CRPF troop can march?
Answer» 4 8 12 16 Solution :We will find the HCF (228, 468) = 12. THUS (c) is correct OPTION.

Discussion

2128.	Indian Army is the third biggest military contingent in the World next to USA and China. However, there are many firsts that make Indian army stand out in the world, making us all Indians very proud. Knowing them, will help you celebrate Republic day with greater vigour and gratitude. On 71th republic day Parade in Delhi Captian RS Meel is planing for parade of following two group: (a) First group of Army contingent of 624 members behind an army band of 32 members. (b) Second group of CRPF troops with 468 soldiers behind the 228 members of bikers. These two groups are to march in the same number of columns. This sequence of soldiers is followed by different states Jhanki which are showing the culture of the respective states. What is the maximum number of columns in which total army troop and CRPF troop together can march past?
Answer» 2 4 6 8 Solution :HCF(624, 32, 228, 468) = 4 Alternatively we can FIND, HCF (16, 12) = 4 THUS (b) is CORRECT OPTION.

Discussion

2129.	Indian Army is the third biggest military contingent in the World next to USA and China. However, there are many firsts that make Indian army stand out in the world, making us all Indians very proud. Knowing them, will help you celebrate Republic day with greater vigour and gratitude. On 71th republic day Parade in Delhi Captian RS Meel is planing for parade of following two group: (a) First group of Army contingent of 624 members behind an army band of 32 members. (b) Second group of CRPF troops with 468 soldiers behind the 228 members of bikers. These two groups are to march in the same number of columns. This sequence of soldiers is followed by different states Jhanki which are showing the culture of the respective states. What should be subtracted with the numbers of CRPF soldiers and the number of bikers so that their maximum number of column is equal to the maximum number of column of army troop?
Answer» 4 SOLDIERS and 4 Bikers 4 Soldiers and 2 Bikers 2 Soldiers and 4 Bikers 2 Soldiers and 2 Bikers Solution :Maximum number of column of army TROOP is 16. But 228 and 468 are not DIVISIBLE by 16. If we SUBTRACT 4 from 228 and 468, both(224 and 464) are divisible by 16. Thus (a) is correct option.

Discussion

2130.	Indian Army is the third biggest military contingent in the World next to USA and China. However, there are many firsts that make Indian army stand out in the world, making us all Indians very proud. Knowing them, will help you celebrate Republic day with greater vigour and gratitude. On 71th republic day Parade in Delhi Captian RS Meel is planing for parade of following two group: (a) First group of Army contingent of 624 members behind an army band of 32 members. (b) Second group of CRPF troops with 468 soldiers behind the 228 members of bikers. These two groups are to march in the same number of columns. This sequence of soldiers is followed by different states Jhanki which are showing the culture of the respective states. What should be added with the numbers of CRPF soldiers and the number of bikers so that their maximum number of column is equal to the maximum number of column of army troop?
Answer» 4 Soldiers and 4 Bikers 12 Soldiers and 12 Bikers 6 Soldiers and 6 Bikers 12 Soldiers and 6 Bikers Solution :Maximum number of COLUMN of army TROOP is 16. But 228 and 468 are not divisible by 16. If we ADD 12 from 228 and 468, both(240 and 480) are divisible by 16. Thus (b) is correct option.

Discussion

2131.	Some peopleof a societydecorated theirareawith flags andtricolourribbons on Republic Day .Thefollowingdata shows the numberof person in differentage groupswho participated in the decoration :{:("Age in years ",5-15,15-25,25-35,35-45,45-55,55-65),("Number of patients " ,""6,""11,""21,""23,""14,""5):} Find the mode of the above data.Whatvalues do these personspossess ?
Answer» ANSWER :36 . 8 National INTEGRITY, UNITY, BEAUTY.

Discussion

2132.	The tax levied by the central government for trading within state is......
Answer» IGST CGST SGST UTGST Answer :B

Discussion

2133.	A cube is coloured red on all faces. It is cut into 64 smaller cubes of equal size. Answer the following questions. How many cubes have no face coloured?
Answer» 24 16 8 4 Solution :Since the cube is cut into 64 smaller CUBES, we can take its edge as 4 cm and that of the small cube edge 1 cm. So X= 4 and x = 1. Such cube with no FACE painted = `(4/1-2)^(3)=8`.

Discussion

2134.	A cube is coloured red on all faces. It is cut into 64 smaller cubes of equal size. Answer the following questions. How many cubes have three faces coloured?
Answer» 24 16 12 8 Solution :Since the cube is CUT into 64 smaller cubes, we can TAKE its edge as 4 CM and that of the SMALL cube edge 1 cm. So X= 4 and x = 1. Cube having 3 FACES painted = 8.

Discussion

2135.	A cube is coloured red on all faces. It is cut into 64 smaller cubes of equal size. Answer the following questions. How many cubes are there which have only one face painted?
Answer» 4 6 8 16 Solution :Since the cube is CUT into 64 smaller cubes, we can take its edge as 4 cm and that of the small cube edge 1 cm. So X= 4 and x = 1. Cube with one face painted = `6(4-2)^(2)=24`.

Discussion

2136.	A cube is coloured red on all faces. It is cut into 64 smaller cubes of equal size. Answer the following questions. How many cubes have two red faces on opposite sides?
Answer» 0 8 16 24 Solution :Since the CUBE is CUT into 64 smaller CUBES, we can take its edge as 4 CM and that of the small cube edge 1 cm. So X= 4 and x = 1. There is no such cube.

Discussion

2137.	Find the 31st term of an A.P. whose 11th term is 38 and 16th term is 78.
Answer» ANSWER :`60`

Discussion

2138.	A straight line makes on the co-ordinate axes positive intercepts whose sum is 5. If the line passes through the point P(-3, 4), find its equation.
Answer» ANSWER :`2X +3Y =6`

Discussion

2139.	Explain the benefits of evaluating the discriminant of a quadratic equation before attempting to solve it. What does its value signifies? (AS_(2), AS_(1))
Answer» Answer :`B^(2) - 4AC LT 0`

Discussion

2140.	150 workers were engaged to finish a piece of work in a certain number of days. Four workers dropped from the work on the second day. Four workers dropped on third day and so on. It took 8 more days to finish the work. Find the number of days in which the work was completed. [Let the no.of days to finish the work is 'x' then 150 x = (x+8)/2 [2 xx 150 + (x+8-1)(-4)]
Answer» ANSWER :X = 17 `RARR x + 8 = 17 + 8 = 25`

Discussion

2141.	In the given fig, the angle of elevation theta is
Answer» `30^(@)` `45^(@)` `90^(@)` `60^(@)` ANSWER :D

Discussion

2142.	182:?::210: 380
Answer» 156 240 272 342 Solution :`13 XX 14 : 18 xx 19 : : 14 xx 15 : 19 xx 20`

Discussion

2143.	Pyramid, in architecture, a monumental structure constructed of or faced with stone or brick and having a rectangular base and four sloping triangular (or sometimes trapezoidal) sides meeting at an apex (or truncated to form a platform). Pyramids have been built at various times in Egypt, Sudan, Ethiopia, western Asia, Greece, Cyprus, Italy, India, Thailand, Mexico, South America, and on some islands of the Pacific Ocean. Those of Egypt and of Central and South America are the best known. The volume and surface area of a pyramid with a square base of area a^(2)and height h is given by V= (ha^(2))/( 3) andS = a^(2) +2a sqrt( ((a)/(2))^(2) +h^(2)) A powerful crystal pyramid has a square base and a volume of 3y^(3) +18y^(2) +27y cubic units. What is the height of pyramid at above area of base ?
Answer» 4 metre 6 metre 5 metre 12 metre Solution :At a= 24 METER `24=3(y+3)` `S=y+3` `y=4` metre Thus (C) is correct OPTION.

Discussion

2144.	Pyramid, in architecture, a monumental structure constructed of or faced with stone or brick and having a rectangular base and four sloping triangular (or sometimes trapezoidal) sides meeting at an apex (or truncated to form a platform). Pyramids have been built at various times in Egypt, Sudan, Ethiopia, western Asia, Greece, Cyprus, Italy, India, Thailand, Mexico, South America, and on some islands of the Pacific Ocean. Those of Egypt and of Central and South America are the best known. The volume and surface area of a pyramid with a square base of area a^(2)and height h is given by V= (ha^(2))/( 3) andS = a^(2) +2a sqrt( ((a)/(2))^(2) +h^(2)) A powerful crystal pyramid has a square base and a volume of 3y^(3) +18y^(2) +27y cubic units. What is ratio of length of side to the height ?
Answer» `(1)/(5)` `(2)/(5)` `(5)/(24)` `(5)/(3)` Solution :We have ` a = 24andy = 5` `(a)/(y) = (5)/(24)` THUS (c) is CORRECT OPTION.

Discussion

2145.	Pyramid, in architecture, a monumental structure constructed of or faced with stone or brick and having a rectangular base and four sloping triangular (or sometimes trapezoidal) sides meeting at an apex (or truncated to form a platform). Pyramids have been built at various times in Egypt, Sudan, Ethiopia, western Asia, Greece, Cyprus, Italy, India, Thailand, Mexico, South America, and on some islands of the Pacific Ocean. Those of Egypt and of Central and South America are the best known. The volume and surface area of a pyramid with a square base of area a^(2)and height h is given by V= (ha^(2))/( 3) andS = a^(2) +2a sqrt( ((a)/(2))^(2) +h^(2)) A powerful crystal pyramid has a square base and a volume of 3y^(3) +18y^(2) +27y cubic units. What is surface area of pyramid ?
Answer» 800 square UNIT 2400 square unit 1200 square unit 1600 square unit Solution :We have`S=a^(2) +2a sqrt( ((a)/(2))^(2) +h^(2))` We havea = 24and y = 5 THUS`S= 24^(2) +2 xx 24 sqrt (((24)/(2))^(2)+5^(2)) = 2xx 24 (12+sqrt(12^(2) +5^(2)))` `=48(12+13) =1200` square unit

Discussion

2146.	Pyramid, in architecture, a monumental structure constructed of or faced with stone or brick and having a rectangular base and four sloping triangular (or sometimes trapezoidal) sides meeting at an apex (or truncated to form a platform). Pyramids have been built at various times in Egypt, Sudan, Ethiopia, western Asia, Greece, Cyprus, Italy, India, Thailand, Mexico, South America, and on some islands of the Pacific Ocean. Those of Egypt and of Central and South America are the best known. The volume and surface area of a pyramid with a square base of area a^(2)and height h is given by V= (ha^(2))/( 3) andS = a^(2) +2a sqrt( ((a)/(2))^(2) +h^(2)) A powerful crystal pyramid has a square base and a volume of 3y^(3) +18y^(2) +27y cubic units. If its height is y , then what polynomial represents the length of a side of the square base ?
Answer» `9(y+3)` `9(y+3)^(2)` `3(y+3) ` `3(y+3)^(2)` Solution :`V(y) =3y^(3) +18y^(2) +27y = 3y(y^(2) +6y +9) = 3y(y+3)^(2)` If y represent HEIGHT, then comparing its volume with standard volume, we have `h (a^(3))/(3)= 3y(y+3)^(2)` `y (a^(3))/(3) = 3y( y+3)^(2)` `a^(3) =9(y+3)^(2)` `a=3(y+3)` THUS (C) is correct OPTION.

Discussion

2147.	Pyramid, in architecture, a monumental structure constructed of or faced with stone or brick and having a rectangular base and four sloping triangular (or sometimes trapezoidal) sides meeting at an apex (or truncated to form a platform). Pyramids have been built at various times in Egypt, Sudan, Ethiopia, western Asia, Greece, Cyprus, Italy, India, Thailand, Mexico, South America, and on some islands of the Pacific Ocean. Those of Egypt and of Central and South America are the best known. The volume and surface area of a pyramid with a square base of area a^(2)and height h is given by V= (ha^(2))/( 3) andS = a^(2) +2a sqrt( ((a)/(2))^(2) +h^(2)) A powerful crystal pyramid has a square base and a volume of 3y^(3) +18y^(2) +27y cubic units. If area of base is 576 square unit, what is the side of base?
Answer» 24 metre 16 metre 13 metre 12 metre Solution :`a^(2) = 576 RARRA = 24 ` unit THUS (a) is correct option.

Discussion

2148.	DeltaABC~DeltaPQR, write ratios of corresponding sides.
Answer» ANSWER :`therefore(AB)/(PQ)=(BC)/(QR)=(AC)/(PR)`

Discussion

2149.	BL and CM are medians of a DeltaABC right angled at A. Prove that 4(BL^(2)+CM^(2))= 5BC^(2).
Answer» Answer :`4(BL^(2) + CM)^(2) = 5 BC^(2)` .

Discussion

2150.	In the given figure ,TA and TB tangents drawn from the external point T.PQ is another tangent at S.If the perimeter of DeltaPTQ is 20 cm .then the length of AT is :
Answer» 8 cm 10cm 16 cm 20 cm Answer :B

Discussion

Explore topic-wise InterviewSolutions in .

XY is drawn parallel to the base BC of a DeltaABC cutting AB at X and AC at Y. If AB= 4BX and YC = 2cm, then find AY.

Choose the set of numbers from the four alternative sets, which is similar to the given set. Given set : (16, 56, 196)

Find the sum of the frst ten terms of the A.P. 8,4,0,-4,-8,……

Find the seventh term of the G.P. : 1,sqrt(3),3,3sqrt(3) . . . . . . . . . . . .

A oil drum is in the shape of a cylinder having the following dimensions: diameter is 2 m and heights is 7 m . The painter charges Rs. 3 per m^2 to paint the drum. Find the total charges to be paid to the painter for 10 drums ?

Determine whether x-1 is a factor of x^6-x^5+x^4+x^3-x^2-x+1 or not?

Find the value of the middle most term(s) of the AP: -15, -1 1 ,..... 53.

If the third term of an A.P. is 5 and the seventh terms is 9, find the 17th term.

Points (3, 0) and (-1,0) are invariant points under reflection in the line L_1points (0, -3) and (0, 1) are invariant points on reflection in line L_2 Name or write equations for the lines L_1 andL_2

Points (3, 0) and (-1,0) are invariant points under reflection in the line L_1points (0, -3) and (0, 1) are invariant points on reflection in line L_2 Write down the images of points P (3, 4) and Q (-5, -2) on reflection in L_1Name the images as P' and Q' respectively.

Points (3, 0) and (-1,0) are invariant points under reflection in the line L_1points (0, -3) and (0, 1) are invariant points on reflection in line L_2 Write down the images of P (3,4) and Q (-5,-2) on reflection in L_2 Name the images as P" and Q" respectively.

Points (3, 0) and (-1,0) are invariant points under reflection in the line L_1points (0, -3) and (0, 1) are invariant points on reflection in line L_2 State or describe a single transformation that maps P' onto P".

Find the roots of the quadratic equations by factorisation: x(x+4)=12

P^^Q means (P+Q)/(Q-P)andPvvQ means (Q-P)/(Q+P) Answer the following questions: 5^^7div7vv5

The roots of the quadratic equation x^2 + x + =0 are imaginary.

If log_(sqrt2)x +log_(sqrt(sqrt2))x + log_(sqrt(sqrt(sqrt2))) x + … upto 7 terms = 1016, the find the value of x.

"…............." circle (s) can pass through a given point.

Some numbers are given below. Decide the numbers to which number sets they belong to and does not belong to and express with correct symbols. 1

Find h(1) and g(2)

Solve each the following pairs of equations by reducing them to a pair of linear equations. (iv) 6x + 3y = 6xy 2x + 4y = 5xy

Find the area (in cm^(2)) of the circle that can be inscribed in a square of side 8 cm.

Ramesh deposits 2,400 per month in a recurring deposit scheme of a bank for one year. If he gets 1248 as interest at the time of maturity, find the rate of interest Also, find the maturity value of this deposit.

Find the 24th term of the sequence: 12,10,8,6…..

The tax levied by the central government for trading within state is......

A cube is coloured red on all faces. It is cut into 64 smaller cubes of equal size. Answer the following questions. How many cubes have no face coloured?

A cube is coloured red on all faces. It is cut into 64 smaller cubes of equal size. Answer the following questions. How many cubes have three faces coloured?

A cube is coloured red on all faces. It is cut into 64 smaller cubes of equal size. Answer the following questions. How many cubes are there which have only one face painted?

A cube is coloured red on all faces. It is cut into 64 smaller cubes of equal size. Answer the following questions. How many cubes have two red faces on opposite sides?

Find the 31st term of an A.P. whose 11th term is 38 and 16th term is 78.

A straight line makes on the co-ordinate axes positive intercepts whose sum is 5. If the line passes through the point P(-3, 4), find its equation.

Explain the benefits of evaluating the discriminant of a quadratic equation before attempting to solve it. What does its value signifies? (AS_(2), AS_(1))

In the given fig, the angle of elevation theta is

182:?::210: 380

DeltaABC~DeltaPQR, write ratios of corresponding sides.

BL and CM are medians of a DeltaABC right angled at A. Prove that 4(BL^(2)+CM^(2))= 5BC^(2).

In the given figure ,TA and TB tangents drawn from the external point T.PQ is another tangent at S.If the perimeter of DeltaPTQ is 20 cm .then the length of AT is :