8677 + Interview Questions in Maths in Class 14 Page 65 InterviewSolution

3201.	Find the sum to n terms of the series log a+ log"" (a^3)/(b) + log ""(a^5)/(b^2) + log ""(a^7)/(b^3)+ ….
Answer» `LOG((a^(2N))/(B^(n-1)))^(n//2)` `log"" (a^(2n-1))/(b^(n-1))` `log""((a^(2n))/(b^n))` NONE of these Answer :A

Discussion

3202.	Find max^m & min^(m) value of 11+cos^(2)alpha.
Answer» ANSWER :12

Discussion

3203.	Sum of two numbers is 384. HCF of the numbers is 48. The difference of the number is:
Answer» 100 192 288 336 Answer :C

Discussion

3204.	Value of sqrt(7sqrt(7sqrt(7sqrt(7))))......
Answer» ANSWER :7

Discussion

3205.	23.003 xx 22.998 + 100.010 = ?
Answer» 630 550 700 720 Answer :A

Discussion

3206.	If (p^2)/(q^2) + (q^2)/(p^2) =1, then the value of (p^6 +q^6) is
Answer» <P>14441 14401 144001 none of these Solution :`P = ((2oplus2)©2)©2) = ((13) ©2) ©2) = (122©2) = 144401

Discussion

3207.	If in a DeltaABC,'S' is the circumcentre then :
Answer» S is equidistant from all the vertices of a TRIANGLE S is equidistant from all the SIDES of a triangle AS, BS and CS are the angular bisectors AS, BS and CS PRODUCED are the altitudes on the opposite sides. Answer :A

Discussion

3208.	Pipe A can fill an empty tank in 30 hours while B can fill it in 45 hours. Pipe A and B are opened and closed alternatively i. e., first pipe A is opened, then B, again A and then B and so on for 1 hour each time without any time lapse. In how many hours the tank will be filled when it was empty, initially?
Answer» 36 54 48 60 Answer :A

Discussion

3209.	A box contains 5 green ,4 yellow and 3 whitemarbles ,Three marblesaredrawn at random, whatis theprobability thatthey are notof thesamecolour ?
Answer» `40//44` `44//41` `41//44` `40//39` Solution :`n(E) =""^(5)C_(3)+""^(4)C_(3) +""^(3)C_(3)=10+4+1=15` `n(S) =""^(12)C_(3)=220` `P=(n(E))/(n(S))=(15)/(220)=(3)/(44)` (it is probability whenall 3 areof same COLOUR ) `therefore ` Requiredprobability`=1-(3)/(44)=(41)/(44)`

Discussion

3210.	Find all the vertical asymptotes and holes of ((2x+9)(5x-4))/((x-3)(x-5)(2x-11))
Answer» SOLUTION :SINCE `(x-3)(x-5)(2x-11)=0impliesx=3or11//2`THEREFORE there are three vertical asymptotes, `x=3,x=5 and x=11//2`.

Discussion

3211.	How many numbers of four digits can be formed with the digits 1, 2, 3, 4 and 5? (Repetition of digits is not allowed.)
Answer» ANSWER :120

Discussion

3212.	Rajeev earns 3/2 times in January, April, July and October than this average earning of Rs. 600 per month in the rest of the months. So his savings in the January, April, July and October goes to 5/4 times that of the rest months saving of Rs. 400 per month in the year. The average expenditure of per month is :
Answer» a. RS. 266.66 b. Rs. 250 c. Rs. 233.33 d. Rs. 433.33 Answer :A

Discussion

3213.	Mr. Baghwan wants to plant 36 mango trees, 144 orange trees and 234 apple trees in his garden. If he wants to plant the equal no. of trees in every row, but the rows of mango , oranges and apple tress will be separate, then the minimum number of rows in his garden is:
Answer» 18 23 36 can't be DETERMINED ANSWER :B

Discussion

3214.	ABCD is a rectangle. P & Q are two points on AB, such that AP : PQ : QB = 3 : 4 : 5. Find the ratio of area DeltaPQC and rectangle ABCD.
Answer» ANSWER :`1:6`

Discussion

3215.	Three cubes of metal , whose edges are 3cm, 4cm and 5 cm respectively are melted to form a new cube. What is the surface area of the new cube ?
Answer» `216 cm^2` `56 cm^2` `36 cm^2` NONE of these Answer :A

Discussion

3216.	What is the ratio of inradius to the circumradius of a right angled triangle?
Answer» A) 2:3 B) `1:SQRT2` C) 5:6 D)can't be determined Answer :D

Discussion

3217.	If x^(2) + bx + 7 is divided by (x-1) leaves remainder 12 find b?
Answer» ANSWER :4

Discussion

3218.	In the figure shown square II is formed by joiningthe mid-points of square I and so on . In this way total five squares are drawn . The sides of the square I is 'a' cm. What is the perimeter of all the five squres ?
Answer» A)`((4 sqrt(2) + 1) a)/((sqrt(2) + 1))` B)`((4 sqrt(2) -1) a)/((sqrt(2) + 1))` C)`( 5)/(6) a ` D)`(7 + 3 sqrt(2) ) a ` Answer :D

Discussion

3219.	In the figure shown square II is formed by joiningthe mid-points of square II and so on . In this way total five squares are drawn . The sides of the square I is 'a' cm. What is the total area of all the five squares ?
Answer» `((4 sqrt(2) -1)a^(2))/((4 sqrt(2) - 1)) ` `((4 sqrt(2) - 1) a^(2))/(4 (sqrt(2) -1))` `(31)/(16) a^(3)` none of these Answer :C

Discussion

3220.	What is the coefficient of a^2b^3c^5 in (x+y+z)^(10) ?
Answer» SOLUTION :By Multinomial THEOREM, it is `(10!)/(2!3!5!)`

Discussion

3221.	No of prime factors in 25^(16)xx5^(17)xx12^(18)
Answer» ANSWER :`=120`

Discussion

3222.	PR is a tangent at a point Q on a circle, in which Q is the centre and its radius is 8 cm. If OR = 16 cm and OP = 10 cm, then the length of PR is-
Answer» 18 CM 19 cm 19.8 cm 21.86 cm ANSWER :C

Discussion

3223.	x@y = (x + y)^2 x#y = (x-y)^2 Find the value of (9#7)@(21#5):
Answer» 67600 62500 57600 none of these Answer :A

Discussion

3224.	The sum of four consecutive terms in A.P. is 36 and the ratio of product of the first and fourth is to be the product of the second and the third is 9:10 . Find the largest of the numbers :
Answer» 9 10 8 12 Answer :D

Discussion

3225.	A person bought a book at 20% discount and sold it at 10% discount. In whole transection he got profit of 10 then find M.P. of book?
Answer» ANSWER :RS 100

Discussion

3226.	If sintheta+costheta=sqrt(2), then find the value of sintheta-costheta.
Answer» `SQRT(2)` 0 `2sqrt(2)` 2 Answer :B

Discussion

3227.	Let the vertices of a triangle ABC be (7,9) , (3,-7) and (-3,3) then the triangle is :
Answer» RIGHT ANGLED equilateral isoceles BOTH (A) AND ( C ) ANSWER :D

Discussion

3228.	If the number formed by the last two digits of a three digit integer is an integral multiple of 6, the orginal integer itself will always be divisible by
Answer» 6 3 2 12 Answer :C

Discussion

3229.	Average age of 17 student of a class is 16 years. If a new student join the class then average age becomes 20. Then find the age of new student.
Answer» ANSWER :88

Discussion

3230.	If a radio is purchased for rs. 490 and sold for rs. 465.50. Find the loss %.
Answer» a. 6% B. 5% c. 4% d. 3% ANSWER :B

Discussion

3231.	If the arithmetic mean of the numbers x_1 , x_2, x_3,……., x_n is barx, then the arithmetic mean of the numbers ax_1 + b, ax_2 + b, ax_3 + b, ……, ax_n + b, where a and b are two constants, would be:
Answer» `overlinex` `naoverlinex + NB` `aoverlinex` `aoverlinex + B` ANSWER :D

Discussion

3232.	C_(1) and C_(2) are two concentric circles with centres at O. Their radii are 12 cm and 3 cm respectively. B and C are the points of contact of two tangents draw to C_(2) from a point A lying on the circle C_(1). Then the area of the quadrilateral ABOC is-
Answer» `(9 SQRT(15))/(2) cm^(2)` `12 sqrt(15) cm^(2)` `9 sqrt(15) cm^(2)` `6 sqrt(15) cm^(2)` Answer :C

Discussion

3233.	Vandana bought a watch for X 600 and sold it the same day for X 688.50 at a credit of 9 months and this way she gained 2%. Find the rate of interest per annum.
Answer» `16(2)/(3)%` `15(2)/(3)%` `11(2)/(3)%` `5(2)/(3)%` Answer :A

Discussion

3234.	Walking at 4/5 of his normal speed Dewang is 15 minutes late in reaching his club what is the usual time taken by him to cover the distance?
Answer» 1 H 1 h 20 min 45min none of these Answer :A

Discussion

3235.	A milkman has 75 lt milk in one cane and 45 lt in another, The maximum capacity of container which can measure milk of either container exact number :
Answer» 1 litre 5 litre 15 litre 25 litre Answer :C

Discussion

3236.	If(1 +3p )/( 3 ) , (1-p )/(4), (1- 2p )/( 2)are probabilities of three mutually exclusive events then
Answer» <P>`p= 0, 1/2` `p=3/4,0` `p=1/3, 1/2` NONE of these Answer :A

Discussion

3237.	calculate sum of factors of 60.
Answer» ANSWER :`60=2^(2)xx3^(1)xx5^(1)RARR((2^(0)+2^(1)+2^(2))(3^(0)+3^(1))(5^(0)+5^(1)))/((2+1)(1+1)(1+1))``=14`

Discussion

3238.	The smallest positive prime (say p) such that 2^(P)-1 is not a prime is
Answer» 5 11 17 29 Answer :B

Discussion

3239.	A, B and C have 40, x and y balls with them respectively. If B gives 20 balls to A,. He is left with half as many balls as C. If together they had 60 more balls, each of them would have had 100 balls on an average. What is the value of x:y?
Answer» 3:2 4:6 2:1 3:4 Answer :B

Discussion

3240.	What is the total surface area of the identical cubes of largest possible size that are cutfrom a cuboid of size 85 cm xx 17 cm xx 5.1 cm?
Answer» a)`26010 cm^(2) ` B)`21600 cm^(2) ` C)`26100 cm^(2) ` d)NONE of these ANSWER :A

Discussion

3241.	The total age of all the guests in the party was 540 years. If a south indian couple (guests) left the party then the average of the remaining guests still remained unchanged, where the age of the both the husband and wife ( the south indian couple ) was same then the average age of this couple and the total number of guests in the party, respectively can be :
Answer» 18, 27 20,27 15,38 Can't determined Answer :B

Discussion

3242.	If cos B=(sinA)/(2sinC), find the nature of triangle :
Answer» isosceles scalene can't be determined none of these Answer :A

Discussion

3243.	Find the product of 5xy^2 and 9x^2
Answer» SOLUTION :`6xyxx7x^2=(6xx7)XX(xyxxx^2)=(6xx7)xx(xxxyxxxxxx)=42xxx^3y`

Discussion

3244.	One of the factors of 3x^(3)+x^(2)-12x-4 is :
Answer» `x-2` `3x-1` `2x+1` `3x+2` ANSWER :C

Discussion

3245.	A tea party is arranged for 16 people along two sides of a large table with 8 chair on each side. Four men want to sit on one particular side and two on the other side. The number of ways in which they can be seated is
Answer» a. `""^(48)C_r` b. `68!` c. `(8!.8!10!)/(4!6!)` d. NONE of these Answer :D

Discussion

3246.	Find the area of Delta whose length of medians is 13 cm, 14 cm ,15 cm.
Answer» ANSWER :112

Discussion

3247.	Find the number of diagonals formed in hexagon.
Answer» 12 10 6 9 Answer :D

Discussion

3248.	a"@"b=(a)/(a+b) and""b#a=(a+b)/(b) Which of the following is true ?
Answer» a@B)/b#a = a/b `(a@b)(b#a) = a^2b^2` `(a@b)(b#a) = a/b` `(a@b)/b#a = (a+b)/b+a` ANSWER :C

Discussion

3249.	cos^(2)10^(@)+cos^(2)50^(@)+cos^(2)70^(@)=?
Answer» a) `(1)/(2)` B) 1 C) `(3)/(2)` d) 2 Answer :B::C

Discussion

3250.	Faizal khan of danish khan the two sons of sardar khan were supposed to kill their archrivals ramadhir singh and his son jp singh, initially fazal khan was in wasseypur while danish danish khan was waiting to kill ramadhir singh and his son in dhanbad. but when sardar got to know that jp singh was seen in his factory at ranchi. so he changed the plan and told his sons on the plane to move as he wanted both his rivals get killed at the same time . Faizal and danish left simultaneously for dhanbad and ranchi respectively. while danish was somewhere on the way to ranchi faizal overtook him and handed oversome bullets and bombs. he immediatly returned for dhanbad and reached at the same time when danish reached ranchi . Dhanbad is equidistant from wasseypur ranchi and all the three cities are connected through a single straight road if the distance between wasseypur and ranchi is 180 km. What is distance travelled by faizal.?
Answer» `90(sqrt2+2)` `90(2sqrt2-1)` `90(sqrt2+1)` DATA insufficient Answer :C

Discussion

Explore topic-wise InterviewSolutions in .

Find the sum to n terms of the series log a+ log"" (a^3)/(b) + log ""(a^5)/(b^2) + log ""(a^7)/(b^3)+ ….

Find max^m & min^(m) value of 11+cos^(2)alpha.

Sum of two numbers is 384. HCF of the numbers is 48. The difference of the number is:

Value of sqrt(7sqrt(7sqrt(7sqrt(7))))......

23.003 xx 22.998 + 100.010 = ?

If (p^2)/(q^2) + (q^2)/(p^2) =1, then the value of (p^6 +q^6) is

If in a DeltaABC,'S' is the circumcentre then :

A box contains 5 green ,4 yellow and 3 whitemarbles ,Three marblesaredrawn at random, whatis theprobability thatthey are notof thesamecolour ?

Find all the vertical asymptotes and holes of ((2x+9)(5x-4))/((x-3)(x-5)(2x-11))

How many numbers of four digits can be formed with the digits 1, 2, 3, 4 and 5? (Repetition of digits is not allowed.)

Mr. Baghwan wants to plant 36 mango trees, 144 orange trees and 234 apple trees in his garden. If he wants to plant the equal no. of trees in every row, but the rows of mango , oranges and apple tress will be separate, then the minimum number of rows in his garden is:

ABCD is a rectangle. P & Q are two points on AB, such that AP : PQ : QB = 3 : 4 : 5. Find the ratio of area DeltaPQC and rectangle ABCD.

Three cubes of metal , whose edges are 3cm, 4cm and 5 cm respectively are melted to form a new cube. What is the surface area of the new cube ?

What is the ratio of inradius to the circumradius of a right angled triangle?

If x^(2) + bx + 7 is divided by (x-1) leaves remainder 12 find b?

In the figure shown square II is formed by joiningthe mid-points of square I and so on . In this way total five squares are drawn . The sides of the square I is 'a' cm. What is the perimeter of all the five squres ?

In the figure shown square II is formed by joiningthe mid-points of square II and so on . In this way total five squares are drawn . The sides of the square I is 'a' cm. What is the total area of all the five squares ?

What is the coefficient of a^2b^3c^5 in (x+y+z)^(10) ?

No of prime factors in 25^(16)xx5^(17)xx12^(18)

PR is a tangent at a point Q on a circle, in which Q is the centre and its radius is 8 cm. If OR = 16 cm and OP = 10 cm, then the length of PR is-

x@y = (x + y)^2 x#y = (x-y)^2 Find the value of (9#7)@(21#5):

The sum of four consecutive terms in A.P. is 36 and the ratio of product of the first and fourth is to be the product of the second and the third is 9:10 . Find the largest of the numbers :

A person bought a book at 20% discount and sold it at 10% discount. In whole transection he got profit of 10 then find M.P. of book?

If sintheta+costheta=sqrt(2), then find the value of sintheta-costheta.

Let the vertices of a triangle ABC be (7,9) , (3,-7) and (-3,3) then the triangle is :

If the number formed by the last two digits of a three digit integer is an integral multiple of 6, the orginal integer itself will always be divisible by

Average age of 17 student of a class is 16 years. If a new student join the class then average age becomes 20. Then find the age of new student.

If a radio is purchased for rs. 490 and sold for rs. 465.50. Find the loss %.

If the arithmetic mean of the numbers x_1 , x_2, x_3,……., x_n is barx, then the arithmetic mean of the numbers ax_1 + b, ax_2 + b, ax_3 + b, ……, ax_n + b, where a and b are two constants, would be:

C_(1) and C_(2) are two concentric circles with centres at O. Their radii are 12 cm and 3 cm respectively. B and C are the points of contact of two tangents draw to C_(2) from a point A lying on the circle C_(1). Then the area of the quadrilateral ABOC is-

Vandana bought a watch for X 600 and sold it the same day for X 688.50 at a credit of 9 months and this way she gained 2%. Find the rate of interest per annum.

Walking at 4/5 of his normal speed Dewang is 15 minutes late in reaching his club what is the usual time taken by him to cover the distance?

A milkman has 75 lt milk in one cane and 45 lt in another, The maximum capacity of container which can measure milk of either container exact number :

If(1 +3p )/( 3 ) , (1-p )/(4), (1- 2p )/( 2)are probabilities of three mutually exclusive events then

calculate sum of factors of 60.

The smallest positive prime (say p) such that 2^(P)-1 is not a prime is

A, B and C have 40, x and y balls with them respectively. If B gives 20 balls to A,. He is left with half as many balls as C. If together they had 60 more balls, each of them would have had 100 balls on an average. What is the value of x:y?

What is the total surface area of the identical cubes of largest possible size that are cutfrom a cuboid of size 85 cm xx 17 cm xx 5.1 cm?

If cos B=(sinA)/(2sinC), find the nature of triangle :

Find the product of 5xy^2 and 9x^2

One of the factors of 3x^(3)+x^(2)-12x-4 is :

A tea party is arranged for 16 people along two sides of a large table with 8 chair on each side. Four men want to sit on one particular side and two on the other side. The number of ways in which they can be seated is

Find the area of Delta whose length of medians is 13 cm, 14 cm ,15 cm.

Find the number of diagonals formed in hexagon.

a"@"b=(a)/(a+b) and""b#a=(a+b)/(b) Which of the following is true ?

cos^(2)10^(@)+cos^(2)50^(@)+cos^(2)70^(@)=?