3694 + Interview Questions in Maths in Class 10 Page 39 InterviewSolution

1901.	Determine whether the following points are collinear D(-2, -3), E(1, 0), F(2, 1)
Answer» ANSWER :D, E, F are COLLINEAR

Discussion

1902.	What is common difference of an AP in which a_(21) - a_(7) = 84 ?
Answer» Answer :`a+ 20D - (a+6d) =84` `14D = 84 rArr d= (84)/(14) = 6`.

Discussion

1903.	Three metallic spheres with radii 3 cm, 4 cm and 5 cm are melted and recast into a single sphere. Then, the radius of the new sphere formed is ......... cm.
Answer» 4 12 6 8 Answer :6

Discussion

1904.	A train always has
Answer» Engine RAILS Driver Passengers Solution :Clearly ,rails are NECESSARY for the TRAIN to MOVE on.Driver alone can move the train.A train is moved for the passengers .But all these do not constitute a train.Unless there is an engine who can pull the train.So the ANSWER is (a).

Discussion

1905.	The sum of the first five terms of an AP is 55 and sum of the first ten terms of this AP is 235, find the sum of its first 20 terms.
Answer» ANSWER :970

Discussion

1906.	The wickets taken by a bowler in 10 cricket matches are as follows: 2,6,4,5,0,2,1,3,2,3. Find the mode of the data.
Answer» ANSWER :2

Discussion

1907.	Bashirkhan purchased 100 shares of MV 40. Brokerage paid at the rate of 0.5% and rate of GST on brokerage is 18%. Findthe total amount he paid for the share purchase.
Answer» ANSWER :4023.6

Discussion

1908.	(A)Complete any two out of three activites :(##NVT_21_MAT_P2_X_C09_E02_010_Q01.png" width="80%"> In the figure , segments BC and BA are tangents . Points C and A are the points C and A are the points of contact . O is the centre of the circle . Complete the following activity to prove segOD is the perpendicular bisector of seg AC. Proof : OC = OA ...squareBC = square... (Tangentsegmentsdrawn from an external point to the circle are equal . ):.points O and B aresquarefrom the points A andC of the chord AC:.by perpendiculr bisector theorem,seg OB is the squareof seg AC i.e seg OD is the perpendicularbisector of seg AC(O-D_B)
Answer» ANSWER :RADII of the same CIRCLE , BA , EQUIDISTANT , perpendicular bisector

Discussion

1909.	Which of the following are sets? Justify your answer. A team of eleven best cricket batsmen of the world.
Answer» ANSWER :HENCE, the GIVEN COLLECTION is not a SET.

Discussion

1910.	If A = {1,2,4}, B= {2,4,5}, C= {2,5}, then (A-B) xx (B-C)=
Answer» `{(1,2), (1,5),(2,5)}` `{(1,4)}` `(1,4)` `{(1,2), (1,4)}` ANSWER :B

Discussion

1911.	Choose the correct answer and give justification for each. If tangents PA and PB from a point P to a circle with centre O are inclined to each other at angle of 80^(@), then /_POA is equal to
Answer» `50^(@)` `60^(@)` `70^(@)` `80^(@)` ANSWER :A

Discussion

1912.	To divide a line segment AB in the ratio 5 : 7, first a ray AX is drawn so that BAX is an acute angle and then at equal distances points are marked on the ray AX such that the minimum number of these points is
Answer» 1)`8` `2)10` 3)`11` 4)`12` ANSWER :D

Discussion

1913.	The surface area of a solid metallic sphere is 2464 cm^(2). It is melted and recast into solid right circular cones of radius 3.5 cm and height 7 cm. Calculate :the radius of the sphere and the number of cones recast.
Answer» ANSWER :14 CM

Discussion

1914.	The surface area of a solid metallic sphere is 2464 cm^(2). It is melted and recast into solid right circular cones of radius 3.5 cm and height 7 cm. Calculate :the number of cones recast. (Take pi = (22)/(7))
Answer» ANSWER :128

Discussion

1915.	Fill in the blanks : {:("Point","Transformation ","Image"),((4, 2), "Reflection in x - axis",..........):}
Answer» ANSWER :(4,-2)

Discussion

1916.	Draw a right-angled triangle where the sides other than the hypotenuse are of lengths 2.2 cm and 2.2 cm. Then, construct another triangle whose sides are (5)/(3) times the corresponding sides of the given triangle.
Answer» Answer :`(BA ')/( BA ) = (BC')/(BC) = (A' C')/(AC ) = (5)/(3)`.

Discussion

1917.	Find the area of the quadrilateral whose vertices, taken in order, are (-4, -2), (-3, -5), (3, -2) and (2, 3).
Answer» ANSWER :28 SQ. UNITS

Discussion

1918.	State which of the following points belong to the region specified by the corresponding inequation that is ,3x+4y lt 4
Answer» (0,2), (3,2) (1,-2) (4,5) ANSWER :C

Discussion

1919.	Draw the graphs of the equations x-y+1=0" and "3x+2y-12=0. Determine the co-ordinates of the vertices of the triangle formed by these lines and the x-axis and shade the triangular region.
Answer» ANSWER :(2, 3), (-1, 0) and (4,0)

Discussion

1920.	In the given figure angle BAD = 60 ^(@),angle ABD = 70^(@)angle BDC = 45^(@) (i) prove that AC is a diameter of the circle (ii)Findangle ACB(##SEL_RKB_ICSE_MAT_X_C17_E02_002_Q01.png" width="80%">
Answer» ANSWER :` 45 ^(@) `

Discussion

1921.	Construct a Delta PQR which the base PQ = 4.5 cm, angle R = 35^(@) and the median from R to RG is 6 cm.
Answer» ANSWER :PQR is the REQUIRED TRIANGLE.

Discussion

1922.	Using a graph paper, plot the points A (6, 4)and B(0, 4). Write the co-ordinates of A' and B'.
Answer» ANSWER :A' = (-6,-4) , B' = (0,-4)

Discussion

1923.	Construct a triangle with sides 5 cm, 5.5 cm, and 6.5 cm. Construct another triangle whose sides are (3)/(5) times the corresponding sides of the given triangle.
Answer» ANSWER :`(A' B) /( AB) = (A'C')/( AC) = (BC ')/(BC ) = (3)/(5)`.

Discussion

1924.	The sum of the 6th and 9 th terms ofan AP is 101 and the sum of the 10th and 16th terms is 178. Find the first three terms of the AP.
Answer» ANSWER :5,12,19

Discussion

1925.	A person buys60 sharesof a company of FV= Rs 10 at MV= Rs 15 The company declares12%dividen afterreceviing dividentdhe sells the share at MV Rs 20 he invests the proceed to buysharesof another cmpany at MV = Rs 12 of FV = Rs 5 Thecompany declares 8% dividentwhatis theactual differencein the dividendreceived by the personin twocompanies ?
Answer» ANSWER :Rs 32 less in the SECOND COMPANY

Discussion

1926.	There are two cones with equal volumes. What will be the ratios of their radius and height?
Answer» ANSWER :`1:4`

Discussion

1927.	A path of width 3.5 m runs around a semicircular grassy plot whose perimeter is 72m. Find the area of the path.
Answer» ANSWER :173.25cm

Discussion

1928.	Construct a word problem on simultaneous linear equations in two variables ( x and y ) so that the value of one of the variables will be 10 ( persons, rupees , metres , years , etc ) and solve it .
Answer»

Discussion

1929.	If (i) P is taller than T but shoter tan Q, then who among them is the tallest ?
Answer» P Q S T Solution :`P GT Q, P gt R , Q gt S gtrArr P gt Q gt S gt T` and `P gt R` `THEREFORE` P is the tallest

Discussion

1930.	Write the following rationals in decimal form using 143/110
Answer» ANSWER :1.3

Discussion

1931.	Dividend is calculated on ....
Answer» FV MV GST brokerage Answer :A

Discussion

1932.	The raddi of the circular ends of a bucket in the form of a fructum of a cone are 14 cm and r cm. where r lt 14. If the height of the bucket is 15 cm and its capacity is 5.39 litres., find the value of r.
Answer» ANSWER :7

Discussion

1933.	The NAV of a unit in mutual fund scheme is 10.65, then find the amount required to buy 500 such units.
Answer» 5325 5235 532500 53200 Answer :A

Discussion

1934.	Write the following sets is roster form. B={x:x is a natural number smaller than 6}.
Answer» Answer :(i) B={1,2,3,4,5} (ii) C={17,26,35,44,53,62,71,80} (iii) D={5,3} (IV) E={B,E,T,R}

Discussion

1935.	Two right circular cones x and y are made. x having three times the radius of y and y having half the volume of x. Calculate the ratio between the heights of x and y.
Answer» ANSWER :`2:9`

Discussion

1936.	Find x and y, if : [{:(,x,3x),(,y,4y):}] [{:(,2),(,1):}]=[{:(,5),(,12):}]
Answer» ANSWER :x=1, y=2

Discussion

1937.	A flagstaff 7 m long is fixed on the top of a tower standing on the horizontal plane. From a point on the ground, the angles of elevation of the top and bottom of the flagstaff are 60° and 45^(@) respectively. Find the height of the tower correct to one decimal place,
Answer» ANSWER :9.3 m

Discussion

1938.	How many terms of the A.P. : 24, 21, 18,…………... must be taken so that their sum is 78 ?
Answer» ANSWER :4 or 13

Discussion

1939.	Pointing to a gentleman, sohan said," His only brother is the father of my daughter's father." How is the gentleman related to sohan?
Answer» GRAND father Father Brother-in-law Uncle Solution :Father of sohan.s DAUGHTER father MEANS sohan.s father. So the man.s brother is sohan.s father or the man is the brother of sohan.s father i.e sohan.s uncle.

Discussion

1940.	For the following sequence in G.P. find the sum of infinite terms. "" (sqrt2+1)/(sqrt2-1)+(1)/(2-sqrt2)+ (1)/(2)+ ………………
Answer» ANSWER :` (3sqrt2 +4)`

Discussion

1941.	If A( 1,2) , B( 4,3) and C ( 0,0) are three vertices of parallelogram ABCD , find the coordinates of D.
Answer» Answer :LET coordinates of D be ( x, y ) . Coordinates of the mid-point of AC = Coordinates of the mid-point of BD `(( 1+ 0)/( 2) , ( 2+ 0 )/( 2))= ( ( 4+x)/( 2) , ( 3+ y )/( 2))` `:. x = - 3 ` and `y = - 1 ` HENCE, corrdinate of D is ( - 3,-1)

Discussion

1942.	Draw a triangle ABC of base BC = 5.6 cm, angle A = 40^(@) and the bisector of angle A meets BC at D such that CD = 4 cm .
Answer» ANSWER :ABC is the REQUIRED TRIANGLE.

Discussion

1943.	Find the remainder when 3^(31) is divided by 31.
Answer» ANSWER :2

Discussion

1944.	Find which of the following is a G.P. : 1/3,2/3,1,(4)/(3), . . . . . . . . . . . . .
Answer» ANSWER :SINCE, `((2)/(3))/((1)/(3))!=(1)/(2/3)`, given sequence is not a G.P.

Discussion

1945.	Which of the alternatives will come next in the series. JAZ, LEX, NIV, POT, ?
Answer» QUR RUS RUR RSR Answer :C

Discussion

1946.	Find the sum of 10 terms of the geometric progression : 1+sqrt(3)+3+3sqrt(3)+ . . . . . .. . . ...
Answer» ANSWER :`121(SQRT(3)+1)`

Discussion

1947.	An express train takes 1 hour less than a passenger train to travel 132 km between Mysore and Bangalore (without taking into consideration the time they stop at intermediate stations). If the average speed of the express train is 11 km/hr more then that of the passenger train, find the average speed of the two trains.
Answer» ANSWER :Speed of the PASSENGER train = 33 kmph Speed of the EXPRESS train = 44 kmph

Discussion

1948.	Find the sum of first 24 terms of the list of numbers whose nth term is given by a_(n)=3+2n.
Answer» ANSWER :672

Discussion

1949.	Find the 12th term from the end in A.P. 13,18,23,…….158.
Answer» ANSWER :103

Discussion

1950.	If A, B and C are interior angles of triangle ABC, then show that sin((B+C)/(2))=cos((A)/(2)).
Answer» ANSWER :`COS""(A)/(2)`

Discussion

Explore topic-wise InterviewSolutions in .

Determine whether the following points are collinear D(-2, -3), E(1, 0), F(2, 1)

What is common difference of an AP in which a_(21) - a_(7) = 84 ?

Three metallic spheres with radii 3 cm, 4 cm and 5 cm are melted and recast into a single sphere. Then, the radius of the new sphere formed is ......... cm.

A train always has

The sum of the first five terms of an AP is 55 and sum of the first ten terms of this AP is 235, find the sum of its first 20 terms.

The wickets taken by a bowler in 10 cricket matches are as follows: 2,6,4,5,0,2,1,3,2,3. Find the mode of the data.

Bashirkhan purchased 100 shares of MV 40. Brokerage paid at the rate of 0.5% and rate of GST on brokerage is 18%. Findthe total amount he paid for the share purchase.

Which of the following are sets? Justify your answer. A team of eleven best cricket batsmen of the world.

If A = {1,2,4}, B= {2,4,5}, C= {2,5}, then (A-B) xx (B-C)=

Choose the correct answer and give justification for each. If tangents PA and PB from a point P to a circle with centre O are inclined to each other at angle of 80^(@), then /_POA is equal to

To divide a line segment AB in the ratio 5 : 7, first a ray AX is drawn so that BAX is an acute angle and then at equal distances points are marked on the ray AX such that the minimum number of these points is

The surface area of a solid metallic sphere is 2464 cm^(2). It is melted and recast into solid right circular cones of radius 3.5 cm and height 7 cm. Calculate :the radius of the sphere and the number of cones recast.

The surface area of a solid metallic sphere is 2464 cm^(2). It is melted and recast into solid right circular cones of radius 3.5 cm and height 7 cm. Calculate :the number of cones recast. (Take pi = (22)/(7))

Fill in the blanks : {:("Point","Transformation ","Image"),((4, 2), "Reflection in x - axis",..........):}

Draw a right-angled triangle where the sides other than the hypotenuse are of lengths 2.2 cm and 2.2 cm. Then, construct another triangle whose sides are (5)/(3) times the corresponding sides of the given triangle.

Find the area of the quadrilateral whose vertices, taken in order, are (-4, -2), (-3, -5), (3, -2) and (2, 3).

State which of the following points belong to the region specified by the corresponding inequation that is ,3x+4y lt 4

Draw the graphs of the equations x-y+1=0" and "3x+2y-12=0. Determine the co-ordinates of the vertices of the triangle formed by these lines and the x-axis and shade the triangular region.

In the given figure angle BAD = 60 ^(@),angle ABD = 70^(@)angle BDC = 45^(@) (i) prove that AC is a diameter of the circle (ii)Findangle ACB(##SEL_RKB_ICSE_MAT_X_C17_E02_002_Q01.png" width="80%">

Construct a Delta PQR which the base PQ = 4.5 cm, angle R = 35^(@) and the median from R to RG is 6 cm.

Using a graph paper, plot the points A (6, 4)and B(0, 4). Write the co-ordinates of A' and B'.

Construct a triangle with sides 5 cm, 5.5 cm, and 6.5 cm. Construct another triangle whose sides are (3)/(5) times the corresponding sides of the given triangle.

The sum of the 6th and 9 th terms ofan AP is 101 and the sum of the 10th and 16th terms is 178. Find the first three terms of the AP.

There are two cones with equal volumes. What will be the ratios of their radius and height?

A path of width 3.5 m runs around a semicircular grassy plot whose perimeter is 72m. Find the area of the path.

Construct a word problem on simultaneous linear equations in two variables ( x and y ) so that the value of one of the variables will be 10 ( persons, rupees , metres , years , etc ) and solve it .

If (i) P is taller than T but shoter tan Q, then who among them is the tallest ?

Write the following rationals in decimal form using 143/110

Dividend is calculated on ....

The raddi of the circular ends of a bucket in the form of a fructum of a cone are 14 cm and r cm. where r lt 14. If the height of the bucket is 15 cm and its capacity is 5.39 litres., find the value of r.

The NAV of a unit in mutual fund scheme is 10.65, then find the amount required to buy 500 such units.

Write the following sets is roster form. B={x:x is a natural number smaller than 6}.

Two right circular cones x and y are made. x having three times the radius of y and y having half the volume of x. Calculate the ratio between the heights of x and y.

Find x and y, if : [{:(,x,3x),(,y,4y):}] [{:(,2),(,1):}]=[{:(,5),(,12):}]

A flagstaff 7 m long is fixed on the top of a tower standing on the horizontal plane. From a point on the ground, the angles of elevation of the top and bottom of the flagstaff are 60° and 45^(@) respectively. Find the height of the tower correct to one decimal place,

How many terms of the A.P. : 24, 21, 18,…………... must be taken so that their sum is 78 ?

Pointing to a gentleman, sohan said," His only brother is the father of my daughter's father." How is the gentleman related to sohan?

For the following sequence in G.P. find the sum of infinite terms. "" (sqrt2+1)/(sqrt2-1)+(1)/(2-sqrt2)+ (1)/(2)+ ………………

If A( 1,2) , B( 4,3) and C ( 0,0) are three vertices of parallelogram ABCD , find the coordinates of D.

Draw a triangle ABC of base BC = 5.6 cm, angle A = 40^(@) and the bisector of angle A meets BC at D such that CD = 4 cm .

Find the remainder when 3^(31) is divided by 31.

Find which of the following is a G.P. : 1/3,2/3,1,(4)/(3), . . . . . . . . . . . . .

Which of the alternatives will come next in the series. JAZ, LEX, NIV, POT, ?

Find the sum of 10 terms of the geometric progression : 1+sqrt(3)+3+3sqrt(3)+ . . . . . .. . . ...

Find the sum of first 24 terms of the list of numbers whose nth term is given by a_(n)=3+2n.

Find the 12th term from the end in A.P. 13,18,23,…….158.

If A, B and C are interior angles of triangle ABC, then show that sin((B+C)/(2))=cos((A)/(2)).