3694 + Interview Questions in Maths in Class 10 Page 28 InterviewSolution

1351.	Find the distance between points A(a, 0), B(0, a)
Answer» ANSWER :`a SQRT2`

Discussion

1352.	The ratio of the heights of two right circular cones is 1:3 and the ratio of their diameters of bases is
Answer» `1:5` `5:9` `3:25` `6:13` ANSWER :C

Discussion

1353.	Mr. RK Agrawal is owner of a famous amusement park in Delhi. Generally he does not go to park and it is managed by team of staff. The ticket charge for the park is Rs 150 for children and Rs 400 for adults. One day Mr Agrawal decided to random check the park and went there. When he checked the cash counter, he found that 480 tickets were sold and Rs 134500 was collected. One day total attended children and adults together is 750 and the total amount collected is Rs 212500. What are the number of children and adults attended ?
Answer» (700, 800) (350, 400) (800, 700) (400, 350) Solution :SOLVING the equations `x+y= 750 and 150X +400y = 212500 rArr 3x+8y = 4250` we have `x=350 and y = 400` i.e Number of children = 350 Number of ADULTS = 400. Thus (b) is CORRECT option.

Discussion

1354.	Mr. RK Agrawal is owner of a famous amusement park in Delhi. Generally he does not go to park and it is managed by team of staff. The ticket charge for the park is Rs 150 for children and Rs 400 for adults. One day Mr Agrawal decided to random check the park and went there. When he checked the cash counter, he found that 480 tickets were sold and Rs 134500 was collected. How much amount collected if 300 children and 350 adults attended?
Answer» Rs 225400 Rs 154000 Rs 112500 Rs 185000 Solution :AMOUNT `=150 XX 300 +400 xx 350 = 185000 Rs` THUS (d) is CORRECT option.

Discussion

1355.	Mr. RK Agrawal is owner of a famous amusement park in Delhi. Generally he does not go to park and it is managed by team of staff. The ticket charge for the park is Rs 150 for children and Rs 400 for adults. One day Mr Agrawal decided to random check the park and went there. When he checked the cash counter, he found that 480 tickets were sold and Rs 134500 was collected. How many adults attended?
Answer» 250 500 230 460 Solution :Number of ADULTS ATTENDED = 250 Thus (a) is CORRECT OPTION.

Discussion

1356.	Mr. RK Agrawal is owner of a famous amusement park in Delhi. Generally he does not go to park and it is managed by team of staff. The ticket charge for the park is Rs 150 for children and Rs 400 for adults. One day Mr Agrawal decided to random check the park and went there. When he checked the cash counter, he found that 480 tickets were sold and Rs 134500 was collected. How many children attended?
Answer» 250 500 230 460 Solution :Solving the EQUATIONS `x + y = 480 and 3X + 8y = 2690` we get x = 230 and y = 250 Number of CHILDREN attended = 230 Number of ADULTS attended = 250 Thus (c) is correct option.

Discussion

1357.	Mr. RK Agrawal is owner of a famous amusement park in Delhi. Generally he does not go to park and it is managed by team of staff. The ticket charge for the park is Rs 150 for children and Rs 400 for adults. One day Mr Agrawal decided to random check the park and went there. When he checked the cash counter, he found that 480 tickets were sold and Rs 134500 was collected. Let the number of children visited be x and the number of adults visited be y . Which of the following is the correct system of equation that model the problem ?
Answer» `X + y = 480 and 3x + 8y = 2690` `x + 2Y = 480 and 3x + 4y = 2690` `x + y = 480 and 3x + 4y = 2690` `x + 2y = 480 and 3x + 8y = 2690` Solution :SINCE 480 people visited thus x + y = 480 . COLLECTED amount is Rs 134500 thus 150x + 400y = 134500 & 3x + 8y = 2690 Thus (a) is correct option.

Discussion

1358.	In the flg. lfloorAOD is divided into 2 parts which are in A.P. the smallest angle lfloorAOB=20^(@). Find the common difference betweeneach angle.
Answer» ANSWER :`40^(@)`

Discussion

1359.	How many two digit numbers are divisible by 3?
Answer» ANSWER :30

Discussion

1360.	Which term of the A.P. 1,4,7,10,…….. Is 52?
Answer» ANSWER :18TH

Discussion

1361.	A dice is thrown two times. Find the probability that the product of numbers of the dice is : 4
Answer» ANSWER :`1/12`

Discussion

1362.	A drinking glass is in the shape of a frustum of a cone of height 21 cm. The diameters of its two circular ends are 6 cm and 4 cm. Find the capacity of the glass.
Answer» ANSWER :`418 CM^(3)`

Discussion

1363.	Metallic spheres of radii 6 cm, 8 cm and 10 cm respectively are melted and recasted into a single solid sphere. Taking pi = 3.1, find the surface area of the solid sphere formed.
Answer» ANSWER :`1785.5 CM ^(2)`

Discussion

1364.	Is it possible to construct a pair of tangents from point P to circle of radius 5 cm situated at a distance of 4.9 cm from the centre?
Answer» ANSWER :No

Discussion

1365.	B times A
Answer» ANSWER :`{(2,1),(2,3),(2,5),(3,1),(3,3),(3,5)}`

Discussion

1366.	Subhash makes a fixed deposit of Rs.25,000 in a bank for 146 days. If the rate of interest is 7.5% annum, then what amount would he receive on the maturity of the fixed deposit?
Answer» RS. 65,010 Rs. 56,180 Rs. 62,310 Rs. 12,100 Answer :A

Discussion

1367.	A bag contains 5 red balls and some blue balls. If the probability ofdrawing a blue ball is double that of a red ball, determine the number ofblue balls in the bag.
Answer» ANSWER :10

Discussion

1368.	Find the sum of G.P. : 1-(1)/(3)+(1)/(3^(2))-(1)/(3^(3))+ . . . .. . . . . to n terms.
Answer» ANSWER :`(3)/(4)[1-(-1/3)^(N)]`

Discussion

1369.	Choose the best alternative as the answer- All animals have
Answer» Eyes Four legs Horns Instincts Answer :D

Discussion

1370.	To construct a triangle similar to A ABC using a scale factor (3)/(7), BC should be divided internally in the ratio……..
Answer» `3:4` `3:7` `3:10` `4:7` ANSWER :C::D

Discussion

1371.	Find the width of the space for spectators
Answer» Answer :`(x -1) (2x + 47) = 0`

Discussion

1372.	Find x and y, if : [3x8] [{:(,1,4),(,3,7):}] -3 [2 -7]=5[3,2y]
Answer» ANSWER :x=-1 and y=6.5

Discussion

1373.	Given cot theta =(7)/(8) , then evaluate(i)((1+sin theta )( 1-sin theta ))/( (1+cos theta )(1-cos theta )) ""(ii) cot^2 theta
Answer» Answer :(i) ` (49)/( 64) ` (II) ` (8+sqrt (113))/( 7) `

Discussion

1374.	A peacock is sitting on the top of a pillar, which is 9m high. From a point 27m away from the bottom of the pillar, a snake is coming to its hole at the base of the pillar. Seeing the snake the peacock pounces on it. If their speeds are equal, at what distance from the hole is the snake caught?
Answer» ANSWER :In `Delta ABD,` pythogorus THEREM `9^(2)+x^(2)= (27-x)^(2)` Solve it to get `x = 12m.`

Discussion

1375.	Define (i) rational numbers (ii) irrational numbers (iii) real numbers.
Answer»

Discussion

1376.	Find the roots of the following quadraticequations by factorisation : sqrt(2)x^(2)+7x+5sqrt(2)=0
Answer» ANSWER :`-SQRT(2); (-5)/(sqrt(2))`

Discussion

1377.	Solve for matrics A and B , where 2A + B = [{:( 3,-4),(2,7) :}] and A - 2B =[{:( 4,3),(1,1):}]
Answer» ANSWER :` (##SEL_RKB_ICSE_MAT_X_RP_02_E01_024_A01##)`

Discussion

1378.	A wooden toy rocket is in the shape of a cone mounted on a cylinder as shown in the adjacent figure. The height of the entire rocket is 26 cm, while the height of the conical part is 6 cm. The base of the conical position has a diameter of 5 cm, while the base diameter of the cylindrical portion is 3 cm.If the conical portion is to be painted orange and the cylindrical portion is to be painted yellow, find the area of the rocket painted with each of these colour.(Take pi = 3.14)
Answer» ANSWER :`195.465 CM^(2)`

Discussion

1379.	What is the difference in the areas of the regular hexagon circumscribing a circle of radius 10 cm and the regular hexagon inscribedin the circle?
Answer» 50`CM^(2) `50sqrt(3)cm^(2)` `100sqrt(3)cm^(2)` `100sqrt(3)cm^(2)` Solution :Find the AREA of TWO hexagon.

Discussion

1380.	Simplify sec A(1-sin A ) (secA+tan A)
Answer» ANSWER :`1`

Discussion

1381.	If in equation a_(1)x+b_(1)y+c_(1)=0 and a_(2)x+b_(2)y+z_(2)=0(a_(1))/(a_(2))ne(b_(1))/(b_(2)) then which of the following is true?
Answer» PARALLEL lines Intersecting lines Coincident lines None of these Answer :B

Discussion

1382.	A man holds 800 shares of rupes 100 each of a companypaying 7.5%divided semi - annually. Calculate his annually .
Answer» ANSWER :RUPES 12,000

Discussion

1383.	The probability that a leap yearselected at randomwill contain 53 Sundays or 53 Mondays is :
Answer» ANSWER :`1/7`

Discussion

1384.	Mr. Amol purchased 50 shared of Face value 100 when theMarket value of the share was 80. Company had given 20% dividend. Find the rate of return on investment.
Answer» Answer :`THEREFORE`Rate of RETURN on INVESTMENT is 25%

Discussion

1385.	Mr. Kumar has a recurring deposit account in a bank for 4 years at 10% p.a. rate of interest. If he gets Rs 21.560 as interest at the time of maturity, find : the monthly instalment paid by Mr. Kumar.
Answer» ANSWER :RS 1,27,160

Discussion

1386.	A die is thrown once. Find the probability of getting a number more than 4.
Answer» ANSWER :`1/3`

Discussion

1387.	A fair dice is rolled twice. What is the probability of getting 2 on first dice and not getting 4 one the second dice ?
Answer» `(1)/(36)` `(1)/(18)` `(5)/(36)` `(1)/(6)` ANSWER :C

Discussion

1388.	How many terms of the series 93 + 90 + 87 + ......amountsto975. Find also the last term. OR If m times the m^(th) term of an A.P is equal to n times its n^(th) term, show that (m+n)^(th) term is zero.
Answer» ANSWER :`T_(13)=57` OR `m=N, T_(m+n)=0` But `m!=n`

Discussion

1389.	A container, open from the top and made up of a metal sheet, is in the form of a frustum of a cone of height 16 cm with radii of its lower and upper ends as 8 cm and 20 cm respectively. Find the cost of the milk which can completely fill the container, at the rate of Rs 20 per litre. also find the cost of metal sheet used to make the container, if it cost Rs8 per 100 cm^(2) (Take pi=3.14)
Answer» ANSWER :RS 156.75

Discussion

1390.	Find the reflection of the point P(-1,3) in the line x = 2
Answer» <P> ANSWER :P' (5,3)

Discussion

1391.	Find the distance between origin of point P(-3,4)
Answer» ANSWER :5

Discussion

1392.	Ayush starts walking from his house to office. Instead of going to the office directly, he goes to a bank first, from there to his daughter's school and then reaches the office. What is the extra distance travelled by Ayush in reaching his office ? (Assume that all distance covered are in straight lines). If the house is situated at (2, 4) , bank at (2, 4), bank at (5, 8) school at (13, 14) and office at (13, 26) and co-ordinates are in km.
Answer» Solution :Consider the co-ordinates of house, H(2, 4), bank, B(5, 8), school, S(13, 14) and office, O(13, 26). `"""Distance "HB^(2)=(5-2)^(2)+(8-4)^(2)=3^(2)+4^(2)=9+16=25` `rArr""HB=5" km"` `""` Distance `BS^(2)=(13-5)^(2)+(14-8)^(2)=8^(2)+6^(2)=64+36` `rArr""BS^(2)=100` `rArr""BS=10" km"` Distance `""SO^(2)=(13-13)^(2)+(26-14)^(2)=0^(2)+12^(2)=12^(2)` `rArr""SO=12" km"` Total distance travelled by Ayush fromhouse to bank to school and thento office `""=HB+BS+SO=5+10+12=27" km"` Direct distance fromhouse to office =HO `rArr""HO^(2)=(13-2)^(2)+(26-4)^(2)=(11)^(2)+(22)^(2)` `rArr""HO^(2)=121+484` `rArr""HO=sqrt(605)=24.6" km"` So, extra distance travelled by Ayush = 27 km- 24.6 km = 2.4 km. Hence, extra distance travelled by Ayush = 2.4 km.

Discussion

1393.	cosec 31^@- sec 59 ^@= ?
Answer» ANSWER :`0`

Discussion

1394.	Two trains leave a railway station at the same time. The first train travels towards west and the second train towards north. The first train travels 5 km/hr faster then the second train. If after two hours they are 50 km. apart, find the average speed of each train.
Answer» ANSWER :15 KM, 20 km

Discussion

1395.	Expression sin 75^(@) +cos 65^(@)in terms of trigonometric ratios of angles between 0^(@) and 45^(@)
Answer» ANSWER :` COS 15^(@) +SIN 25^(@) `

Discussion

1396.	If in equation a_(1)x+b_(1)y+c_(1)=0 and a_(2)x+b_(y)y+c_(2)=0,(a_(1))/(a_(2))=(b_(1))/(b_(2))=(c_(1))/(c_(3)), then which of the following is true?
Answer» UNIQUE solution No solution Infinite solution None of these Answer :C

Discussion

1397.	A is a dealer in Banaras (UP). He supplies goods/services worth Rs. 8,000 to a dealer B in Agra (UP). Dealer B, turn, supplies the same goods/services to dealer C in Patna (Bihar) at a profit of Rs. 1,200. Find the input and output taxes for the dealer C under GST system, if the rate of GST is 18% and C does not sell his goods/services further.
Answer» ANSWER :RS. 1,656 and Rs.00

Discussion

1398.	A cylinder having diameter 40 cm and height 70 cm contains 4/5th of water. If a cone having radius 18 cm and height equal to 3/4 time the height of the cylinder is dropped in the cylinder, how much water wil overflow from the cylinder?
Answer» Solution :Here, diameter = 40 CM , `therefore` radius (r ) = 20 cm h = 70 cm The volume of the cylinder (ui.e. the volume of water) `pir^2h` `=(22)/7xx20xx20xx70` `=88000cm^3` The water is up to `4/5` th of the cylinder `therefore1/5` th of the cylinder is WITHOUT water `therefore88000xx1/5=17600cm^3` of water can be added to the cylinder to make it full of water `""...(1)` The radius (R) of the cone = 18 cm H of the cone `=3/4xx70=52.5 cm` The volume of the cone `=1/3xx(22)/7xx18xx52.5` `=22xx18xx18xx2.5` `=17820cm^3""...(2)` `therefore` the water OVERFLOWING = `(17820-17600)cm^3""...["From (2) and (1)"]` `=220cm^3` `220cm^3` of water will overflow

Discussion

1399.	Find the value of (ln8 xx ln81)/(ln16 xx ln9).
Answer»

Discussion

1400.	A solid cube of each side 10 cm, has been painted red, blue and black on pairs of opposite faces. It is then cut into cubical blocks of each side 2 cm. Answer the following questions. How many cubes have only one face painted?
Answer» 54 36 24 12 Solution :In this QUESTION X = 10 and x = 2 Such cubes are `6(10/2-2)^(2)=54`.

Discussion

Explore topic-wise InterviewSolutions in .

Find the distance between points A(a, 0), B(0, a)

The ratio of the heights of two right circular cones is 1:3 and the ratio of their diameters of bases is

In the flg. lfloorAOD is divided into 2 parts which are in A.P. the smallest angle lfloorAOB=20^(@). Find the common difference betweeneach angle.

How many two digit numbers are divisible by 3?

Which term of the A.P. 1,4,7,10,…….. Is 52?

A dice is thrown two times. Find the probability that the product of numbers of the dice is : 4

A drinking glass is in the shape of a frustum of a cone of height 21 cm. The diameters of its two circular ends are 6 cm and 4 cm. Find the capacity of the glass.

Metallic spheres of radii 6 cm, 8 cm and 10 cm respectively are melted and recasted into a single solid sphere. Taking pi = 3.1, find the surface area of the solid sphere formed.

Is it possible to construct a pair of tangents from point P to circle of radius 5 cm situated at a distance of 4.9 cm from the centre?

B times A

Subhash makes a fixed deposit of Rs.25,000 in a bank for 146 days. If the rate of interest is 7.5% annum, then what amount would he receive on the maturity of the fixed deposit?

A bag contains 5 red balls and some blue balls. If the probability ofdrawing a blue ball is double that of a red ball, determine the number ofblue balls in the bag.

Find the sum of G.P. : 1-(1)/(3)+(1)/(3^(2))-(1)/(3^(3))+ . . . .. . . . . to n terms.

Choose the best alternative as the answer- All animals have

To construct a triangle similar to A ABC using a scale factor (3)/(7), BC should be divided internally in the ratio……..

Find the width of the space for spectators

Find x and y, if : [3x8] [{:(,1,4),(,3,7):}] -3 [2 -7]=5[3,2y]

Given cot theta =(7)/(8) , then evaluate(i)((1+sin theta )( 1-sin theta ))/( (1+cos theta )(1-cos theta )) ""(ii) cot^2 theta

A peacock is sitting on the top of a pillar, which is 9m high. From a point 27m away from the bottom of the pillar, a snake is coming to its hole at the base of the pillar. Seeing the snake the peacock pounces on it. If their speeds are equal, at what distance from the hole is the snake caught?

Define (i) rational numbers (ii) irrational numbers (iii) real numbers.

Find the roots of the following quadraticequations by factorisation : sqrt(2)x^(2)+7x+5sqrt(2)=0

Solve for matrics A and B , where 2A + B = [{:( 3,-4),(2,7) :}] and A - 2B =[{:( 4,3),(1,1):}]

What is the difference in the areas of the regular hexagon circumscribing a circle of radius 10 cm and the regular hexagon inscribedin the circle?

Simplify sec A(1-sin A ) (secA+tan A)

If in equation a_(1)x+b_(1)y+c_(1)=0 and a_(2)x+b_(2)y+z_(2)=0(a_(1))/(a_(2))ne(b_(1))/(b_(2)) then which of the following is true?

A man holds 800 shares of rupes 100 each of a companypaying 7.5%divided semi - annually. Calculate his annually .

The probability that a leap yearselected at randomwill contain 53 Sundays or 53 Mondays is :

Mr. Amol purchased 50 shared of Face value 100 when theMarket value of the share was 80. Company had given 20% dividend. Find the rate of return on investment.

Mr. Kumar has a recurring deposit account in a bank for 4 years at 10% p.a. rate of interest. If he gets Rs 21.560 as interest at the time of maturity, find : the monthly instalment paid by Mr. Kumar.

A die is thrown once. Find the probability of getting a number more than 4.

A fair dice is rolled twice. What is the probability of getting 2 on first dice and not getting 4 one the second dice ?

How many terms of the series 93 + 90 + 87 + ......amountsto975. Find also the last term. OR If m times the m^(th) term of an A.P is equal to n times its n^(th) term, show that (m+n)^(th) term is zero.

Find the reflection of the point P(-1,3) in the line x = 2

Find the distance between origin of point P(-3,4)

cosec 31^@- sec 59 ^@= ?

Two trains leave a railway station at the same time. The first train travels towards west and the second train towards north. The first train travels 5 km/hr faster then the second train. If after two hours they are 50 km. apart, find the average speed of each train.

Expression sin 75^(@) +cos 65^(@)in terms of trigonometric ratios of angles between 0^(@) and 45^(@)

If in equation a_(1)x+b_(1)y+c_(1)=0 and a_(2)x+b_(y)y+c_(2)=0,(a_(1))/(a_(2))=(b_(1))/(b_(2))=(c_(1))/(c_(3)), then which of the following is true?

A cylinder having diameter 40 cm and height 70 cm contains 4/5th of water. If a cone having radius 18 cm and height equal to 3/4 time the height of the cylinder is dropped in the cylinder, how much water wil overflow from the cylinder?

Find the value of (ln8 xx ln81)/(ln16 xx ln9).

A solid cube of each side 10 cm, has been painted red, blue and black on pairs of opposite faces. It is then cut into cubical blocks of each side 2 cm. Answer the following questions. How many cubes have only one face painted?