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

451.	Questions 16 to 20 : Read the following information carefully and answer the question that follow : (i) Five friens P,Q,R,S and T traveled to five different cities of Chennai,Kolkata ,Delhi, Bangalore and Hyderabad by different modes of transport of Bus, Train,Aeroplance, Car and Boat from Mumbai. (ii) the person who traveled to Delhi did not ravel by boat. (iii) R wen to Banglore by can and Q went to Kolkata by aeroplane. (iv) S traveled by boat whereasT traveled by train. (v) Mumbai is not connected by bus to Delhi and Chennai. Who among the following travelled to Delhi ?
Answer» R S T Data Indequate SOLUTION :CLEARLY, T TRAVELED to DELHI

Discussion

452.	Questions 16 to 20 : Read the following information carefully and answer the question that follow : (i) Five friens P,Q,R,S and T traveled to five different cities of Chennai,Kolkata ,Delhi, Bangalore and Hyderabad by different modes of transport of Bus, Train,Aeroplance, Car and Boat from Mumbai. (ii) the person who traveled to Delhi did not ravel by boat. (iii) R wen to Banglore by can and Q went to Kolkata by aeroplane. (iv) S traveled by boat whereasT traveled by train. (v) Mumbai is not connected by bus to Delhi and Chennai. Which of the following combinations is true for S ?
Answer» Delhi-Bus Chennai-Bus Chennai-Boat Data Indequate Solution :CLEARLY, the CORRECT COMBINATION for S is Chennai -Boat

Discussion

453.	Questions 16 to 20 : Read the following information carefully and answer the question that follow : (i) Five friens P,Q,R,S and T traveled to five different cities of Chennai,Kolkata ,Delhi, Bangalore and Hyderabad by different modes of transport of Bus, Train,Aeroplance, Car and Boat from Mumbai. (ii) the person who traveled to Delhi did not ravel by boat. (iii) R wen to Banglore by can and Q went to Kolkata by aeroplane. (iv) S traveled by boat whereasT traveled by train. (v) Mumbai is not connected by bus to Delhi and Chennai. Which of the following combinations of person and mode is not correct ?
Answer» P-Bus Q-AEROPLANE R-Car S-Boat Solution :CLEARLY, the INCORRECT COMBINATION is T Aeroplane.

Discussion

454.	Questions 16 to 20 : Read the following information carefully and answer the question that follow : (i) Five friens P,Q,R,S and T traveled to five different cities of Chennai,Kolkata ,Delhi, Bangalore and Hyderabad by different modes of transport of Bus, Train,Aeroplance, Car and Boat from Mumbai. (ii) the person who traveled to Delhi did not ravel by boat. (iii) R wen to Banglore by can and Q went to Kolkata by aeroplane. (iv) S traveled by boat whereasT traveled by train. (v) Mumbai is not connected by bus to Delhi and Chennai. Which of the following combinations of place and mode is not correct ?
Answer» DELHI - BUS Kolkata-Aeroplane Bangalore-Car Chennai-Boat Solution :CLEARLY,the CORRECT COMBINATION is Delhi Bus

Discussion

455.	Questions 16 to 20 : Read the following information carefully and answer the question that follow : (i) Five friens P,Q,R,S and T traveled to five different cities of Chennai,Kolkata ,Delhi, Bangalore and Hyderabad by different modes of transport of Bus, Train,Aeroplance, Car and Boat from Mumbai. (ii) the person who traveled to Delhi did not ravel by boat. (iii) R wen to Banglore by can and Q went to Kolkata by aeroplane. (iv) S traveled by boat whereasT traveled by train. (v) Mumbai is not connected by bus to Delhi and Chennai. The person traveling to Delhi went by which of the following modes ?
Answer» Bus TRAIN Aeroplane Car Solution :CLEARLY, T TRAVELED to DELHI by train.

Discussion

456.	Find the number which should be added to x^2+ x +3 so that the resulting polynomial is completely divisible by (x + 3).
Answer» ANSWER :`-9`

Discussion

457.	What is theratio of the volume of a cube to that of a sphere which will fit inside it?
Answer» ANSWER :`21:11`

Discussion

458.	The total investment made in buying Rs. X shares at a premium of 25% is Rs. 125 X. The number of shares bought is _______.
Answer» 500 250 125 100 Solution :NUMBER of SHARE `=("TOTAL INVESTMENT")/(MV)`

Discussion

459.	Let A={1,2, 3, 4} and B={a, b, c}. Which of the following is a relation from A to B.
Answer» `{(1, b), (1,c), (3, a), (4, b)}` `{(1, a), (b, 4), (c, 3)}` `{(1, a), (a, 1), (2, b), (b, 2)}` `{(a, 4), (b, 3), (c, 2)}` ANSWER :A

Discussion

460.	Calculate the area of the designed region in figure, common between the two quadrants of the circles of radius 10cm each. (usepi=3.14)
Answer» ANSWER :`57CM^(2)`

Discussion

461.	The polynomials ax^(3)+3x^(2)-3 and 2x^3- 5x +a, when divided by x - 4, leave the same remainder in each case. Find the value of a.
Answer» ANSWER :1

Discussion

462.	A times (B cup C)
Answer» ANSWER :`{(1,2),(1,3),(1,4),(1,5),(2,2),(2,3),(2,4),(2,5)}`

Discussion

463.	A cylindrical can, whose base is horizontal and of radius 3-5 cm, contains sufficient water so that when a sphere is placed in the can, the water just covers the sphere. Given that the sphere just fits into the can, calculate : the depth of water in the can before the sphere was put into the can.
Answer» ANSWER :`2 (1)/(3) CM`

Discussion

464.	A cylindrical can, whose base is horizontal and of radius 3-5 cm, contains sufficient water so that when a sphere is placed in the can, the water just covers the sphere. Given that the sphere just fits into the can, calculate : the total surface area of the can in contact with water when the sphere is in it,
Answer» ANSWER :`192.5 CM ^(2)`

Discussion

465.	Which of the following squences are A.P.? If they are A.P. find the common difference 2,5/23,7/3,…
Answer» ANSWER :Not an AP

Discussion

466.	How many silver coins 1.75 cm in diameter and of thickness 2 nm, must be melted to form a cuboid of dimensions 5.5 cm xx 10 cm xx 3.5 cm.
Answer» ANSWER :6 CM

Discussion

467.	Prove that following are irrational
Answer» ANSWER :`7sqrt(5)`

Discussion

468.	Show that the following points form an equilateral triangle A(a, 0), B(-a, 0), C(0, a sqrt(3))
Answer» ANSWER :AB = BC = CA = 2a (VERTICES of EQUILATERAL triangle)

Discussion

469.	A, B and Care sister. Dis the brother of E and E is the daughter of B. How is A related to D?
Answer» SISTER Cousin Niece AUNT SOLUTION :E is the daughter of B and D is the brother of E. So D is the SON of B. Also A is the sister of B so A is the aunt of D.

Discussion

470.	One card is drawn from a well - shuffled deck of cards . Find the probability of getting the jack of hearts .
Answer» ANSWER :`(1)/(52)`

Discussion

471.	Two windmills of height 50 m and 40sqrt(3) m are on either side of the field. A person observes the top of the windmills from a point in between them. The angle of elevation was found to be45^(@) and 30^(@). Find the distance between the windmills. .
Answer» ANSWER :170 m

Discussion

472.	Courier service agent charged total 590 to courier a parcel from Nashik to Nagpur. In the tax invoice value is 500 on which CGST is 45 and SGST is 45. Find the rate of GST charged for this service.
Answer» ANSWER :0.18

Discussion

473.	PQ and PR are tangents to the given circle as shown in the figure. If angleRPQ=90^(@) and PQ = 8 cm, find the radius of the circle.
Answer» ANSWER :8 CM

Discussion

474.	Goods/services are sold from Agra (U.P.) to Kanpur (U.P.) for Rs. 20,000 and then from Kanpur to Jaipur (Rajasthan). If the rate of GST is 18% and the profit made at Kanpur is Rs. 5,000, find : the cost of goods/services at Jaipur.
Answer» ANSWER :RS. 29,500

Discussion

475.	Goods/services are sold from Agra (U.P.) to Kanpur (U.P.) for Rs. 20,000 and then from Kanpur to Jaipur (Rajasthan). If the rate of GST is 18% and the profit made at Kanpur is Rs. 5,000, find : the net GST payable by the dealer at Kanpur.
Answer» ANSWER :RS. 900

Discussion

476.	Use formula to solve the quadratic equation : x^2 + x - (a + 1) (a + 2) = 0.
Answer» ANSWER :a +1AND - (a+2)

Discussion

477.	If the diagonals of a cyclic quadrilateral are perpendicular toeach other, show that the line passing through the point of intersection of diagonals and midpoint of a side is perpendicular to the opposite side.
Answer» ANSWER :`:. /_MFC=90^(@)"" "":. " Line"`EM bot SIDE DC.

Discussion

478.	A survey conducted by a group of students as a part of their environment awareness programme, in which they collected the following data regarding the number of plants in 20 houses in a locality. Find the mean number of plants per house.
Answer» ANSWER :8.1 PLANTS . We have USED direct method because numerical values of `x_1 and f_i` are SMALL.

Discussion

479.	Construct a Delta PQR such that QR = 6.5 cm, angle P = 60^(@) and the altitude from P to QR is of length 4.5 cm.
Answer» ANSWER :PQR is the REQUIRED TRIANGLE.

Discussion

480.	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 date .
Answer» ANSWER :2

Discussion

481.	A solid metallic sphere of diameter 28 cm is melted and recast into a number of smaller cones, each of diameter 4 (2)/3 cm and height 3cm. Find the number of cones so formed.
Answer» ANSWER :672

Discussion

482.	{:(4x - 3y + 4 = 0),(4x + 3y - 20 = 0):}
Answer» ANSWER :X = 2, y = 4, (2, 4), (-1, 0), (5, 0) and area of `Delta = 12` square units

Discussion

483.	If the sum of first 7 terms and 15 terms of and A.P. are 98 and 390 respectively, then find the sum of first 10 terms.
Answer» ANSWER :185

Discussion

484.	A boat take 6 hours to travel 36 km downstream and 24 km upstream. It take 9 hours to travel 48 km downstream and 40 km upstream. Find the speed of the stream and that of boat in still water.
Answer»

Discussion

485.	If ax^2+2hxy+by^2 prop z^2and (lx+my) prop zwhere a,b,h,l,m are constants , then prove that x prop y .
Answer»

Discussion

486.	There sidesof a triangle are 5 cm , 6 cm and 9 cmrespectivley . Constructthe trinagleand then theyby drawing its incircle , determinetheinradiusof this triangle . (Givenconstruction signsonly).
Answer» ANSWER :1.5 CM

Discussion

487.	A solid cylinder of diameter 12 cm and height 15 cm is melted and recast into 12 toys in the shape of a right circular cone mounted on a hemisphere.Find the radius of the hemisphere and total height of the toy.if the height of the cone is 3 time the radius .
Answer» Solution :Radius of the cylinder r= 6cm heigth of the cylinder ,h= 15 cm `therefoer`VOLUME of the cylinder `=pi r^h` `= (pixx 6xx 6xx 15) cm^3` `=(540 pi ) cm^3` Volume of 12 toys `=(540 pi)cm^3` `therefore`volume of 1 toy `=((540 pi)/(12))cm^3 =( 45 pi ) cm^3` Let the radius of each of the hemisphere and CONE be R cm Then , height of the cone `H= (3R) cm ` Volume of 1 toy = volume of the hemisphere + volume of the cone `= 2/3 pi R^3 + 1/3pi R^2 H` `=(2/3pi R^3 +1/3pi R^2xx3R) cm^3` `=((5 pi R^3)/(3))cm^3` `therefore (5pi R^3)/(3)= 45 pirArr R^3=(45 xx 3/5)=27 = 3^3 rArr R = 3` TOTAL height of the toy = (R + 3R) cm = 4 R cm `=(4 xx 3)` cm = 12 cm

Discussion

488.	Write the following expressions as log N and find their values. 2 log 3 - 3 log 2
Answer» ANSWER :`LOG(9/8)`

Discussion

489.	If x=a^(2) - bc, y=b^(2) - ca, z=c^(2) - ab then what is the value of ((a+b+c) (x+y+z))/(ax+by+ cz) is equal to
Answer» `3` `2` `1` `0` ANSWER :C

Discussion

490.	Add 2 to the denominator of (p)/(q) to get q + 2.
Answer» ANSWER :`(12)/(37)`

Discussion

491.	Draw an isosceles triangle ABC where AB = AC = 6 cm and BC = 5 cm. Construct a triangle PQR similar to triangle ABC in which PQ = 8 cm. Also justify the construction.
Answer» ANSWER :`(PQ)/(AB) = (QR)/( BC ) = (PR)/( AC ) =(4)/(3)`.

Discussion

492.	From the figure, the length of AD is :
Answer» 12 cm 14 cm 11 cm 13 cm Answer :D

Discussion

493.	A box contains 12 balls out of which x are black . If one ball is drawn at random from the box, what is the probability that it will be a black ball. If 6 more black balls are put in the box, the probability of drawing a black ball is now double of what it was before. Find x.
Answer» ANSWER :X = 3

Discussion

494.	What must be subtracted from 16x^3- 8x^2+4x+7 so that the resulting expression has 2x+1 is a factor?
Answer» ANSWER :1

Discussion

495.	Match the roster form with set builder form. (i) {1,2,3,6} (a) {x : x is prime number and a divisior of 6} (ii) {2,3} (b) {x : x is an odd natural number smaller than 10} (iii) {m,a,t,h,e,m,a,t,i,c,s} (c) {x : x is a natural number and divisor of 6} (iv) {1,3,5,7,9} (d) {x : x is a letter of the word MATHEMATICS}
Answer» Answer :(i) -(c) (II) -(a) (iii) (d) (IV) (B)

Discussion

496.	Find the zeros of the polynomial p(x)= x^(2)-15x+50
Answer» ANSWER :X= 10, 5

Discussion

497.	Anshula walks 35 km partly at the rate 4 km/hour and Partly at 5 km/hour, if she had walked at 5 km/hour. When she walked at 4 km/hour and vice versa. She would have covered 2 km more in the same time. Find the time she was walking.
Answer» ANSWER :8 HOURS

Discussion

498.	Find the value of sqrt(31) by geometirc method.
Answer» ANSWER :5.57 APPROX

Discussion

499.	What is the value of y if (y,3),(-5,6) and (-8,8) are collinear ?
Answer» `-1` 2 `(1)/(2)` `-(1)/(2)` ANSWER :D

Discussion

500.	If S_(n) denotes sum of the first n times of an A.P, then prove that S_(30) = 2 [S_(20 - S_(10)].
Answer» ANSWER :`S_(30) = 3 [ S_(20) - S_(10) ]`

Discussion

Explore topic-wise InterviewSolutions in .

Find the number which should be added to x^2+ x +3 so that the resulting polynomial is completely divisible by (x + 3).

What is theratio of the volume of a cube to that of a sphere which will fit inside it?

The total investment made in buying Rs. X shares at a premium of 25% is Rs. 125 X. The number of shares bought is _______.

Let A={1,2, 3, 4} and B={a, b, c}. Which of the following is a relation from A to B.

Calculate the area of the designed region in figure, common between the two quadrants of the circles of radius 10cm each. (usepi=3.14)

The polynomials ax^(3)+3x^(2)-3 and 2x^3- 5x +a, when divided by x - 4, leave the same remainder in each case. Find the value of a.

A times (B cup C)

A cylindrical can, whose base is horizontal and of radius 3-5 cm, contains sufficient water so that when a sphere is placed in the can, the water just covers the sphere. Given that the sphere just fits into the can, calculate : the depth of water in the can before the sphere was put into the can.

Which of the following squences are A.P.? If they are A.P. find the common difference 2,5/23,7/3,…

How many silver coins 1.75 cm in diameter and of thickness 2 nm, must be melted to form a cuboid of dimensions 5.5 cm xx 10 cm xx 3.5 cm.

Prove that following are irrational

Show that the following points form an equilateral triangle A(a, 0), B(-a, 0), C(0, a sqrt(3))

A, B and Care sister. Dis the brother of E and E is the daughter of B. How is A related to D?

One card is drawn from a well - shuffled deck of cards . Find the probability of getting the jack of hearts .

Two windmills of height 50 m and 40sqrt(3) m are on either side of the field. A person observes the top of the windmills from a point in between them. The angle of elevation was found to be45^(@) and 30^(@). Find the distance between the windmills. .

Courier service agent charged total 590 to courier a parcel from Nashik to Nagpur. In the tax invoice value is 500 on which CGST is 45 and SGST is 45. Find the rate of GST charged for this service.

PQ and PR are tangents to the given circle as shown in the figure. If angleRPQ=90^(@) and PQ = 8 cm, find the radius of the circle.

Goods/services are sold from Agra (U.P.) to Kanpur (U.P.) for Rs. 20,000 and then from Kanpur to Jaipur (Rajasthan). If the rate of GST is 18% and the profit made at Kanpur is Rs. 5,000, find : the cost of goods/services at Jaipur.

Goods/services are sold from Agra (U.P.) to Kanpur (U.P.) for Rs. 20,000 and then from Kanpur to Jaipur (Rajasthan). If the rate of GST is 18% and the profit made at Kanpur is Rs. 5,000, find : the net GST payable by the dealer at Kanpur.

Use formula to solve the quadratic equation : x^2 + x - (a + 1) (a + 2) = 0.

If the diagonals of a cyclic quadrilateral are perpendicular toeach other, show that the line passing through the point of intersection of diagonals and midpoint of a side is perpendicular to the opposite side.

A survey conducted by a group of students as a part of their environment awareness programme, in which they collected the following data regarding the number of plants in 20 houses in a locality. Find the mean number of plants per house.

Construct a Delta PQR such that QR = 6.5 cm, angle P = 60^(@) and the altitude from P to QR is of length 4.5 cm.

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 date .

A solid metallic sphere of diameter 28 cm is melted and recast into a number of smaller cones, each of diameter 4 (2)/3 cm and height 3cm. Find the number of cones so formed.

{:(4x - 3y + 4 = 0),(4x + 3y - 20 = 0):}

If the sum of first 7 terms and 15 terms of and A.P. are 98 and 390 respectively, then find the sum of first 10 terms.

A boat take 6 hours to travel 36 km downstream and 24 km upstream. It take 9 hours to travel 48 km downstream and 40 km upstream. Find the speed of the stream and that of boat in still water.

If ax^2+2hxy+by^2 prop z^2and (lx+my) prop zwhere a,b,h,l,m are constants , then prove that x prop y .

There sidesof a triangle are 5 cm , 6 cm and 9 cmrespectivley . Constructthe trinagleand then theyby drawing its incircle , determinetheinradiusof this triangle . (Givenconstruction signsonly).

A solid cylinder of diameter 12 cm and height 15 cm is melted and recast into 12 toys in the shape of a right circular cone mounted on a hemisphere.Find the radius of the hemisphere and total height of the toy.if the height of the cone is 3 time the radius .

Write the following expressions as log N and find their values. 2 log 3 - 3 log 2

If x=a^(2) - bc, y=b^(2) - ca, z=c^(2) - ab then what is the value of ((a+b+c) (x+y+z))/(ax+by+ cz) is equal to

Add 2 to the denominator of (p)/(q) to get q + 2.

Draw an isosceles triangle ABC where AB = AC = 6 cm and BC = 5 cm. Construct a triangle PQR similar to triangle ABC in which PQ = 8 cm. Also justify the construction.

From the figure, the length of AD is :

A box contains 12 balls out of which x are black . If one ball is drawn at random from the box, what is the probability that it will be a black ball. If 6 more black balls are put in the box, the probability of drawing a black ball is now double of what it was before. Find x.

What must be subtracted from 16x^3- 8x^2+4x+7 so that the resulting expression has 2x+1 is a factor?

Find the zeros of the polynomial p(x)= x^(2)-15x+50

Anshula walks 35 km partly at the rate 4 km/hour and Partly at 5 km/hour, if she had walked at 5 km/hour. When she walked at 4 km/hour and vice versa. She would have covered 2 km more in the same time. Find the time she was walking.

Find the value of sqrt(31) by geometirc method.

What is the value of y if (y,3),(-5,6) and (-8,8) are collinear ?

If S_(n) denotes sum of the first n times of an A.P, then prove that S_(30) = 2 [S_(20 - S_(10)].