3694 + Interview Questions in Maths in Class 10 Page 11 InterviewSolution

501.	Determine the mean-proportinal of the line segments of 5.6 cm and 6.bar(428571) cm.
Answer» ANSWER :6 CM

Discussion

502.	Find the value of k, if 2x +1 is a factor of (3k+2)x^3 + (k-1).
Answer» ANSWER :2

Discussion

503.	A cylindrical tube, open at both ends, is made of metal. The internal diameter of the tube is 112 cm and its length is 21 cm. The metal everywhere is 0.4 cm in thickness. Calculate the volume of the metal correct to one place of decimal.
Answer» ANSWER :`306.2 CM ^(3)`

Discussion

504.	Mode of the distribution is that value of the variate for which the _______ is ______
Answer» FREQUENCY, maximum frequency, minimum frequency, ARITHMETIC MEAN median, mode ANSWER :A

Discussion

505.	In the given figure, EF \|\| CA and FG \|\| AB then (DE)/(EC) is equal to :
Answer» `(DG)/(GB)` `(GB)/(DG)` `(AF)/(DF)` `(AB)/(AD)` Answer :A

Discussion

506.	Solve the following inequation and write down the solution set: 11x-4 lt 15x + 4 le 13x+14, x in W .
Answer» ANSWER :SOLUTION set = {0, 1, 2, 3, 4, 5}

Discussion

507.	If rat is called dog, dog is called mangoose, mangoose is called lion, lion is called snake and snake is called an elephant, which is reared as pet?
Answer» Rate DOG MONGOOSE Lion Solution :CLEARLY .dog. is reared as pet. But .dog. is CALLED .mongoose.. So .mongoose. is reared as pet.

Discussion

508.	If A=[{:(,1,4),(,1,-3):}] and B=[{:(,1,2),(,-1,-1):}],find: (A+B)^2
Answer» Answer :`(i) [{:(,4,-12),(,0,16):}] (II) [{:(,4,-8),(,-2,12):}]` (III) No,

Discussion

509.	An article can be bought by paying 28,000 at once or by making 12 monthly instalments. If the first instalment paid is 3000 and every other instalment is 100 less than the previous one, find : (i) amount of instalment paid in the 9th month (ii) total amount paid in the instalment scheme.
Answer» ANSWER :(i) 2200 (II) 29400

Discussion

510.	If S_(1), denotes the surface area of a sphere with radius r and S_(2), denotes the total surface area of a cylinder with radius r and height 2r, then ......... holds good.a. S_(1)=S_(2)b. S_(1)gt S_(2)c. S_(1) lt S_(2)d.S_(1)=2S_(2)
Answer» `S_(1)=S_(2)` `S_(1)gt S_(2)` `S_(1) lt S_(2)` `S_(1)=2S_(2)` Answer :A::B

Discussion

511.	Check whether the following are quadratic equations : (x+1)^(2)=2(x-3)
Answer» ANSWER :YES

Discussion

512.	Solve the following equations : (x)/(2)+(2y)/(3)=-1 (x)/(3)-(y)/(2)=(13)/(6).
Answer» ANSWER :`x=2 and y=-3`.

Discussion

513.	Point P lies on segment AB such that (AP)/(AB) = (3)/(8). In what ratio does the point P divide AB internally ?
Answer» ANSWER :`3:5`

Discussion

514.	200 logs are stacked in the following manner : 20 logs in the bottom row, 19 in the row above, 18 in the row above to it and so on. In how many rows are the 200 logs placed and how many logs are in the top row ?
Answer» ANSWER :16

Discussion

515.	Solve the following equation : x-(18)/(x)=6. Give your answer correct to two significant figures.
Answer» ANSWER :`8.2` or `-2.2`

Discussion

516.	From the word 'LAPROSCOPY', how many independent words can be made without changing the order of the letters and using each letter only once?
Answer» One Two Three FOUR Solution :The WORDS are LAP, COPY

Discussion

517.	For a dealer A, the list price of an article is Rs. 9,000. which he sells to dealer B at some lower price. Further, dealer B the same article to a customer at list proce. If the rate of GST is 18% and dealer B paid a tax, under GST, equal to Rs. 324 to the government, find the amount (inclusive of GST) paid by dealer B.
Answer» ANSWER :RS. 8,496

Discussion

518.	Prove that each of the following numbers is irrational. (i) 1 + sqrt(2) (ii) 5 + sqrt(2) (iii) 2 + sqrt(5) (iv) 2 - sqrt(3) (v) 5sqrt(2) (vi) (2)/(sqrt(5)) (vii) (1)/(sqrt(3)) (viii) sqrt(2) + sqrt(3) (ix) sqrt(2) + sqrt(5) (x)5 + 3sqrt(2) (xi)2sqrt(3) - 1 (xii) 5 - 2sqrt(3) (xiii) 4 - 5sqrt(2) (xiv) (1)/(sqrt(7))
Answer»

Discussion

519.	To draw a pair of tangents to a circle inclined to each other at an angle of 60^@, it is required to draw the two radii of the circle intersecting at an angle of
Answer» 1)`135^@` 2)`90^@` 3)`60^@` 4)`120^@` ANSWER :D

Discussion

520.	By selling an article for Rs96, a man gains as much percent as its cost price. Find the cost price of the article.
Answer» ANSWER :RS 60

Discussion

521.	On a graph paper, draw the line x=6. Now, on the same graph paper, draw the locus of the point which moves in such a way that its distance from the given line is always equal to 3 units.
Answer» ANSWER :`X = 3 and x=9`

Discussion

522.	As shown in the adjioning figure, twocircles interset each other in points A and B. Two tangents touch these in point these circles in points P,Q and R, S as shown . Line AB intersects seg PQ in C and seg RS in D. Show that Cand D are midpoints of seg PQ and seg RS respectively.
Answer» ANSWER :`thererfore` D is the MIDPOINT of SEG RS

Discussion

523.	It is given that in a group of 3 students the probability of 2 students not having the same birthday is 0.922 . What is the probability that the 2 students have the same birthday ?
Answer» ANSWER :0.008

Discussion

524.	Find the mean of the following table by step dcviation method :
Answer» SOLUTION : LET assumed MEAN a=25 Here, h=10 `"mean"barx=a+(sumf_(i)u_(i))/(sumf_(i))xxh=25+(0)/(36)xx10=25`

Discussion

525.	Find a quadratic polynomial, the sum and product of whose zeroes are -3 and 2 respectively.
Answer» ANSWER :`KX^(2)+3kx+2k`.

Discussion

526.	Find the 10^(th) term of the G.P. : 12,4,1(1)/(3), . . . . . . . . . ..
Answer» ANSWER :`(4)/(6561)`

Discussion

527.	To divide a line segment in the ratio sqrt3 : (1)/(sqrt3)is same as dividing it in the ratio ……..
Answer» ANSWER :`3:1`

Discussion

528.	Is the sequence 12, 8,4,0…………. An A.P.? If yes, state is first term and common differnce.
Answer» ANSWER :`-4`

Discussion

529.	Without using the formula for the nth term, find which term of the AP : 5, 17, 29,41,......will be 120 more than its 15 th term. Justify your answer.
Answer» ANSWER :here d=12 so the term which is 120 morethan `15^(th)`term will occur after 10 term i.e 25 th TERMS

Discussion

530.	Find k so that x^(2)+2x+k is a factor of 2x^(4)+x^(3)-14x^(2)+5x6. Also find all zeroes of two polynomials.
Answer» <P> Solution :LET `"" p(x)=2x^(4)+x^(3)-14X^(2)+5x+6` and `"" g(x)=x^(2)+2x+k` But remainder =0 `IMPLIES""(21+7k)x+(2k^(2)+8k+6)=0` `implies ""21+7k=0 ""and ""2k^(2)+8k+=0` `implies "" 7k=-21 "" and "" k^(2)+4k+3=0` `implies "" k=-3"" and ""(k+3)(k+1)=0` `implies "" k=-3 ""and ""k=-3 or k=-1` `:. "" k=-3` Now, `q(x)=2x^(2)-3x-8-2k=2x^(2)-3x-8+6=2x^(2)-3x-2` `=2x^(2)-4x+x-2=2x(x-2)+1(x-2)=(x-2)(2x+1)` Its zeroes are given by x-2=0 and 2x+1=0 `implies ""x=2 andx=-(1)/(2)` and `"" g(x)=x^(2)+2x+k=x^(2)+2x-3=x^(2)+3x-x-3` `=x(x+3)-1(x+3)=(x+3)(x-1)` Its zeroes are given by x+3=0 and x-1=0 `implies"" `x=-3 and x=1 `:.` Zeroes of g(x) are-3and 1 and zeroes of p(x) are -3, 1, 2 and `-(1)/(2) ""` Ans.

Discussion

531.	How many multiplesof 4 lies between 10 and 250 ?
Answer» ANSWER :60

Discussion

532.	Pointing to a girl in the photograph, Amar said, “Her mother's brother is the only son of my mother's father." How is the girl's mother related to Amar?
Answer» Mother Sister AUNT Grand mother Solution :Only SON of Amar.s mother.s father MEANS Amar.s maternal UNCLE so, the girls maternal uncle is Amar.s maternal uncle. THUS the girl.s mother is Amar.s aunt. (Mother)

Discussion

533.	find the 10th term of the AP : 5,1,-3,7,……
Answer» ANSWER :`-31`

Discussion

534.	A card is drawn from a well shuffled deck of 52 cards. Find the probability of getting an ace.
Answer» ANSWER :`1/2`

Discussion

535.	Ratio of adjacent angles of a parallelogram is 2:3. Find its angles.
Answer» ANSWER :`72^@,108^@;72^@,108^@`

Discussion

536.	The total surface area of a solid hemisphere of diameter 2cm is equal to ………
Answer» `12CM^(2)` `12picm^(2)` `4picm^(2)` `3picm^(2)` ANSWER :D

Discussion

537.	Mr. Malik went on a tour to Goa. He took a room in a hotel for two at the rate of Rs. 5,000 per day. On the same day, his friend john also him. Hotel provided an extra bed charging Rs. 1,000 per day for the bed. How much GST, at the rate of 28% is charged by the hotel in the bill to Mr. Malik for both the days ?
Answer» ANSWER :RS. 3,360

Discussion

538.	Solve the following pair of linear equations graphically :x-y=12x+y=8.Also find the co-ordinates of the points where the lines represented by the above equation intersect Y - axis.
Answer» ANSWER :(0, 8)

Discussion

539.	Check whether the following are quadratic equations : (x-2) (x+1) =(x-1)(x+3)
Answer» ANSWER :No

Discussion

540.	Examine, Iftwo coins are tossed at the same time, there are 3 possible outcomestwoheads, two tails, or one of each. Therefore, for each outcome, theprobability of occurrence is 1//3.
Answer» <P> ANSWER :Incorrect , REASON: One on each i.e., one HEAD and one tail can result in two ways : head on first coin and tail on the second or tail on the first coin and head on the second. ` therefore ` P(two heads )= `(1)/(4), ` P(two TAILS )`= (1)/(4) ` and P( one of each )` = (2)/(4)=(1)/(2), `

Discussion

541.	The probability of getting 53 fridays in a leap year is:
Answer» `1/7` `2/7` `4/7` `5/7` ANSWER :B

Discussion

542.	Which direction is Sunny facing now? I. If Sunny turns to his right and again turns to his right, he will be facing North. II. If Sunny walks some distance and turns left and again walks some distance, then his face will be towards left of Dinesh who is facing South.
Answer» if the DATA in statement I alone are sufficient to answer the QUESTION, while the data in statement II alone are not sufficient to answer the question, if the data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question, if the data either in statement I alone or in statement II alone are sufficient to answer the question, if the data given in both statements I and II together are not sufficient to answer the question, Solution :From I, we conclude that SUNNY is facing South, since a person facing South SHALL face North on turning to his right, twice. From II, we know that after walking, Sunny shall face towards left of Dinesh facing South i.e. East and a person walking southwards shall face East on turning to his left. Thus, Sunny is facing South.

Discussion

543.	A man buys 50rs shares of a company, paying 12 percent dividend at a premium of 10rs Find : (i) the market value of 320 shares (ii) his annual income (iii) his profit percent
Answer» ANSWER :`(i) 19200rs` `(II) 1920rs` `(III)10%`

Discussion

544.	A DeltaABC in which angle C is right angle, AB = 29 units, BC = 21 units and angle ABC=theta. The value of cos theta is :
Answer» `(20)/(29)` `(21)/(29)` `(20)/(21)` `(21)/(20)` ANSWER :B

Discussion

545.	Find the respective terms for the following Aps: (i) a_(1) =2, a_(3) = 26 find a_(2) (ii) a_(2) =13, a_(4) = 3 find a_(1), a_(3) (iii) a_(1) =5, a_(4) = -22 find a_(1),a_(3),a_(4),a_(5)
Answer» Answer :(i) `a_(2) = 14`, (ii) `a_(1) = 18, a_(1) =8` (iii) `a_(2) = 13/2, a_(1) =8` (iv) `a_(1) =02, a_(1)=0, a_(4)=2; a_(5)=4` (v) `a_(1)= 53, a_(3) = 23, a_(4) =8; a_(5) =-7`

Discussion

546.	Evaluate the (sin 30^(@) + tan 45^(@) - "cosec" 60^(@))/(sec 30^(@) + cos 60^(@) + cot 45^(@))
Answer» ANSWER :`(43 - 24 sqrt(3))/(11)`

Discussion

547.	A largest sphere is to be carved out of a right circular cylinder of radius 7 cm and height 14 cm. Find the volume of the sphere. (Answer correct to the nearest integer).
Answer» ANSWER :`1437 CM ^(3)`

Discussion

548.	Find the coordinates of the point which divides the line segment joining the points (-1, 7) and (4, -3) in the ratio 2:3 .
Answer» ANSWER :(1, 3)

Discussion

549.	If 0 le x le (pi)/(2)then sino le sinx le sin(pi)/(2)
Answer» ANSWER :1

Discussion

550.	Use graph paper for this question. The points A(2, 3), B(4, 5) and C(7, 2) are the vertices of DeltaABC Mention the special name of the quadrilateral BCC"B" and find its area.
Answer» ANSWER :21 SQ. UNIT

Discussion

Explore topic-wise InterviewSolutions in .

Determine the mean-proportinal of the line segments of 5.6 cm and 6.bar(428571) cm.

Find the value of k, if 2x +1 is a factor of (3k+2)x^3 + (k-1).

A cylindrical tube, open at both ends, is made of metal. The internal diameter of the tube is 112 cm and its length is 21 cm. The metal everywhere is 0.4 cm in thickness. Calculate the volume of the metal correct to one place of decimal.

Mode of the distribution is that value of the variate for which the _______ is ______

In the given figure, EF || CA and FG || AB then (DE)/(EC) is equal to :

Solve the following inequation and write down the solution set: 11x-4 lt 15x + 4 le 13x+14, x in W .

If rat is called dog, dog is called mangoose, mangoose is called lion, lion is called snake and snake is called an elephant, which is reared as pet?

If A=[{:(,1,4),(,1,-3):}] and B=[{:(,1,2),(,-1,-1):}],find: (A+B)^2

An article can be bought by paying 28,000 at once or by making 12 monthly instalments. If the first instalment paid is 3000 and every other instalment is 100 less than the previous one, find : (i) amount of instalment paid in the 9th month (ii) total amount paid in the instalment scheme.

If S_(1), denotes the surface area of a sphere with radius r and S_(2), denotes the total surface area of a cylinder with radius r and height 2r, then ......... holds good.a. S_(1)=S_(2)b. S_(1)gt S_(2)c. S_(1) lt S_(2)d.S_(1)=2S_(2)

Check whether the following are quadratic equations : (x+1)^(2)=2(x-3)

Solve the following equations : (x)/(2)+(2y)/(3)=-1 (x)/(3)-(y)/(2)=(13)/(6).

Point P lies on segment AB such that (AP)/(AB) = (3)/(8). In what ratio does the point P divide AB internally ?

200 logs are stacked in the following manner : 20 logs in the bottom row, 19 in the row above, 18 in the row above to it and so on. In how many rows are the 200 logs placed and how many logs are in the top row ?

Solve the following equation : x-(18)/(x)=6. Give your answer correct to two significant figures.

From the word 'LAPROSCOPY', how many independent words can be made without changing the order of the letters and using each letter only once?

To draw a pair of tangents to a circle inclined to each other at an angle of 60^@, it is required to draw the two radii of the circle intersecting at an angle of

By selling an article for Rs96, a man gains as much percent as its cost price. Find the cost price of the article.

On a graph paper, draw the line x=6. Now, on the same graph paper, draw the locus of the point which moves in such a way that its distance from the given line is always equal to 3 units.

As shown in the adjioning figure, twocircles interset each other in points A and B. Two tangents touch these in point these circles in points P,Q and R, S as shown . Line AB intersects seg PQ in C and seg RS in D. Show that Cand D are midpoints of seg PQ and seg RS respectively.

It is given that in a group of 3 students the probability of 2 students not having the same birthday is 0.922 . What is the probability that the 2 students have the same birthday ?

Find the mean of the following table by step dcviation method :

Find a quadratic polynomial, the sum and product of whose zeroes are -3 and 2 respectively.

Find the 10^(th) term of the G.P. : 12,4,1(1)/(3), . . . . . . . . . ..

To divide a line segment in the ratio sqrt3 : (1)/(sqrt3)is same as dividing it in the ratio ……..

Is the sequence 12, 8,4,0…………. An A.P.? If yes, state is first term and common differnce.

Without using the formula for the nth term, find which term of the AP : 5, 17, 29,41,......will be 120 more than its 15 th term. Justify your answer.

Find k so that x^(2)+2x+k is a factor of 2x^(4)+x^(3)-14x^(2)+5x6. Also find all zeroes of two polynomials.

How many multiplesof 4 lies between 10 and 250 ?

Pointing to a girl in the photograph, Amar said, “Her mother's brother is the only son of my mother's father." How is the girl's mother related to Amar?

find the 10th term of the AP : 5,1,-3,7,……

A card is drawn from a well shuffled deck of 52 cards. Find the probability of getting an ace.

Ratio of adjacent angles of a parallelogram is 2:3. Find its angles.

The total surface area of a solid hemisphere of diameter 2cm is equal to ………

Solve the following pair of linear equations graphically :x-y=12x+y=8.Also find the co-ordinates of the points where the lines represented by the above equation intersect Y - axis.

Check whether the following are quadratic equations : (x-2) (x+1) =(x-1)(x+3)

Examine, Iftwo coins are tossed at the same time, there are 3 possible outcomestwoheads, two tails, or one of each. Therefore, for each outcome, theprobability of occurrence is 1//3.

The probability of getting 53 fridays in a leap year is:

Which direction is Sunny facing now? I. If Sunny turns to his right and again turns to his right, he will be facing North. II. If Sunny walks some distance and turns left and again walks some distance, then his face will be towards left of Dinesh who is facing South.

A man buys 50rs shares of a company, paying 12 percent dividend at a premium of 10rs Find : (i) the market value of 320 shares (ii) his annual income (iii) his profit percent

A DeltaABC in which angle C is right angle, AB = 29 units, BC = 21 units and angle ABC=theta. The value of cos theta is :

Find the respective terms for the following Aps: (i) a_(1) =2, a_(3) = 26 find a_(2) (ii) a_(2) =13, a_(4) = 3 find a_(1), a_(3) (iii) a_(1) =5, a_(4) = -22 find a_(1),a_(3),a_(4),a_(5)

Evaluate the (sin 30^(@) + tan 45^(@) - "cosec" 60^(@))/(sec 30^(@) + cos 60^(@) + cot 45^(@))

A largest sphere is to be carved out of a right circular cylinder of radius 7 cm and height 14 cm. Find the volume of the sphere. (Answer correct to the nearest integer).

Find the coordinates of the point which divides the line segment joining the points (-1, 7) and (4, -3) in the ratio 2:3 .

If 0 le x le (pi)/(2)then sino le sinx le sin(pi)/(2)

Use graph paper for this question. The points A(2, 3), B(4, 5) and C(7, 2) are the vertices of DeltaABC Mention the special name of the quadrilateral BCC"B" and find its area.

Mode of the distribution is that value of the variate for which the _ is