8677 + Interview Questions in Maths in Class 14 Page 79 InterviewSolution

3901.	If all vowels occupy odd places, how many words can be formed from the letters of the word HALLUCINATION?
Answer» 129650 1587600 78500 none of these Answer :B

Discussion

3902.	The ratio between the radius of the base and the height of a cylindrical pillar is 3:4 . If its volume is4851 m^(3) , the curved surface area of the pillar is :
Answer» `924 m^2` `1617 m^2` `425 m^2` NONE of these Answer :A

Discussion

3903.	There are n points in a plane no three of which are in the same straight line with the exception of m(n>m)points which are all in the same straight line. Find the number of triangles formed by joining them.
Answer» `""^(N-m)C_3` `""^(n)C_3 -""^(m)C_3` `""^(n)C_m` NONEOF(a),(B ),(C ) ANSWER :B

Discussion

3904.	If x^(x^(3/2))=(x^(3/2))^x, the value of x :
Answer» `3/2` `9/4` `16/25` `8/27` ANSWER :B

Discussion

3905.	A can finish 80% of work done by B in 20% more time taken by B. Working together they can finish the work in 40 days. In how many days they will finish the work working alone?
Answer» ANSWER :`A to 100` DAYS, `B to 66(2)/(3)` days

Discussion

3906.	At what time between 5 o clock and 6 o clock in the morningwill theboth hands of a clock be art right angle
Answer» `43(7)/(11)`MIN past 5 and`1(10)/(11)` min past 6 `43(7)/(11)`min past 5 and`10(10)/(11)` min past 5 `42(7)/(11)`min past 5 and `11(10)/(11)` min past 5 `42(7)/(11)`min past 5and`1(10)/(11)` min past 6 Answer :B

Discussion

3907.	A fraction in reduced formis such that when it is squared and then itsnumerator is increased by 25% and the denominator is reduced to 80%it results in 5//8 of the original fraction. The product of the numerator and denominator is :
Answer» 6 12 10 7 Answer :C

Discussion

3908.	Convert (273)_8 to binary.
Answer» SOLUTION :

Discussion

3909.	A sum of ? 11000 was taken as loan . This is to be paid in two equal annual instalments. If the rate of interest be 20% compounded annually, then the value of each instalment is
Answer» ? 7500 ? 7000 ? 7100 ? 7200 Answer :D

Discussion

3910.	A shopkeeper sells his goods at C.P. but uses 900gm weight find profit %
Answer» ANSWER :`(100)/(9)%`

Discussion

3911.	There are two circles intersecting each other . Anothersmaller circle with centre O , is lying between the common region of two larger circles. Centres of the circle ( i.e., A,O and B) are lying on a straightline. AB =16 cm and the radii of the larger circlesare 10 cm each . What is the area of the smaller circle ?
Answer» a. `4PI cm^(2) ` B. `2 PI cm^(2) ` cc. `(4)/(pi) cm^(2) ` d. `(pi)/(4) cm^(2) ` ANSWER :A

Discussion

3912.	ABC is an isosciles triangle a circle is such that it parses though vertex C and AB acts as a tangent at D for the same circle AC and BC intersects the circle at E and F respectively AC = BC = 4 cm. and AB = 6 cm. also D is the mid-point of AB. What is the ratio of EC : (AE+AD)?
Answer» `1 : 2` `1 : 3` `2 : 5` none of these Answer :B

Discussion

3913.	If log_(5)[log_(3)(log_(2)x)]=1, then x is:
Answer» `2^234` 243 `2^243` NONE of these Answer :C

Discussion

3914.	Solve the following expression : 8/3 + 13/6
Answer»

Discussion

3915.	When 335 is added to 5A7, the result is 8B2. 8B2 is divisible by 3. What is the largest possible value of A?
Answer» 8 2 1 4 Answer :D

Discussion

3916.	If 25% of a certain work is done by A and after that remaining was done by B, the work will be completed in 20 days. If 75% of the work is done by A and the remaining is done by B, the work will be completed in 30 days. If A and B work together, in how many days work will be completed?
Answer» 10.5 10 12 18 Answer :A

Discussion

3917.	ABCD is a regular trapezium in which AD \|\| BC Diagonal AC and BD intersect at O, AO = 3 CO = X - 3 BO = 3X - 19 , DO = X - 5 . Find X
Answer» ANSWER :

Discussion

3918.	Three sets of English, mathematics and science books containing , 336, 240 and 96 books respectively have to be stacked in such a way that all the books are stored subjectwise and the height of each stack is the same. How many stacks will be there ?
Answer» 14 21 22 48 Answer :A

Discussion

3919.	A can win B by 250 m in a 2 km race. What should be the change in distance of startup? So, that B must cover 20% less distance than that by A in the same time.
Answer» ANSWER :150 m

Discussion

3920.	Sameer can row a certain distance downstream in 24 h and can come back covering the same distance in 36 h. If the stream flows at the rate of 12 km/h, find the speed of Sameer in still water.
Answer» 30km/h 15 km/h 40 km/h 60 km/h Answer :D

Discussion

3921.	There is certain numbers of toys in the box. They are divided into such a way that the person who gets 1/4 of the whole gets thrice of what the others get on an average. Find the number of people amongst whom the toys are distributed?
Answer» A) 8 B) 10 C) 12 D) 9 Answer :A

Discussion

3922.	Mr.X invested a certainamount in Debt and Equity Funds in the ratio of 4:5 at the end of one year, he earned a total dividend of 30% on his investement. After one year, he reinvested the amount including the divided in the ratio of 6:7 in the Debt and Equity Funds. If the amount reinvested in Equity Funds was ₹ 94, 500, what was the original amount invested in Equity Funds?
Answer» `₹ 75,000` `₹ 81,000` `₹ 60,000` `₹ 65,000` Solution :Amount reinvested in EQUITY Funds `=94500` Amount reinvenst in DEPT +Equity Funds `=94500 xx(13)/(7)=175500` Amount invested earlier in Dept + Equity Funds `=(175500)/(1.3)=135000` Original amount invested in equity FUND `=(5)/(9)xx 135000=75000`.

Discussion

3923.	The perimeter of a square is twice the perimeter of a rectangle. If the perimeter of the square is 72cm and the length of the rectangle is 12 cm, what is the difference between the breadth of the rectangle and the side of the square?
Answer» 9 cm 12 cm 18 cm 3 cm Answer :B

Discussion

3924.	There are 3 boys and 4 girls, seated around a circular table so that no two boys are together. Find the number of ways in which this can be done.
Answer» 36 120 144 132 Answer :C

Discussion

3925.	84 Maths books, 90 Physics books and 120 Chemistry books have to be stacked topic wise. How many books will be their in each stack so that each stack will have the same height too?
Answer» 12 18 6 21 Answer :C

Discussion

3926.	Find the sum to n terms : 1+ 2x + 3x^2 + 4x^3 + … ,xne 1 :
Answer» `1+nx^n` `(X(x+1))/(2) + x^n` `(1-x^n)/((1-x)^2)` `{(1-x^n)/((1-x)^2) - (nx^n)/((1-x))}` ANSWER :D

Discussion

3927.	Yogesh can run 1 km in 6 min 20 s and Vijay can cover the same distance in 6min 40s. By what distance can Yogesh beat Vijay?
Answer» 50 m 90 m 45 m 30 m Answer :A

Discussion

3928.	If p and q(!=0)are the roots of the equationx^2+px+q=0, then the least value of x^2+px+q(x inR) is :
Answer» `-1/4` `1/4` `(-9)/4` 8 Answer :C

Discussion

3929.	Four cards are drawn at a time from a pack of 5 playing cards. Find theprobability of getting all the four cards of the same suit.
Answer» `5/13` `12/65` `44/4165` `44/169` ANSWER :C

Discussion

3930.	Mark Shekar Garg goes to a school to demonstrate how the kids can use the Facebook harmlessly and take the optimum advantage of socialization with fellow kids online at the early age of their social being. He tells the kids, after demonstrating the usage and safety features, that to make someone your facebook friend you have to send her/him a request and the other person has to accept it, as in out of two classmates A and B if first A sends request to B then B wil accept it or if first B sends request to A then A will accept it and thus both A and B will become facebook friends. As every kid responds to his instructions, within a minute Mark finds that every student in the class is now facebookfriend of the other. In that class the number of female students is twice that of male students. He also notices that the number of friend-requests sent by the female kids is equal to the number of friend-requests sent by the male kids. Which of the following can be the number of friend-requests sent by female students to male students of that class?
Answer» 42 99 105 120 Answer :C

Discussion

3931.	2375.85 +18.01 - 4.525 xx 8.05 = ?
Answer» a. 103 B. 96 c. 88 d. 90 Answer :B

Discussion

3932.	A publisher printed 2000 copies of a book at a cost of Rs 70,000. He distributes 400 copies free as specimen copies . He gave 30% discount on printed price and the printed price of each book is Rs 75. What is his gain or loss percentage?
Answer» ANSWER :20% PROFIT

Discussion

3933.	Salary of Ratan in 2001 was $ 100 per day and his salary in 2002 was $ 125 per day. Again in 2003 his salary was $ 100 per day. What is the percentage increase in his salary in 2002 ? (ii) What is the percentage decrease in his salary in 2003 per 2002 ?
Answer» SOLUTION :`(125-100)/125 XX100 =20%`

Discussion

3934.	If a/b=b/c=c/d=d/e=e/f=1/3, then find the value of ((a+b+c+d+e)/(b+c+d+e+f)) :
Answer» 1/81 1/27 0.33333333333333 1 Answer :C

Discussion

3935.	How many integer values of x and y satisfy the expression 4x + 7y = 3 where \|x\|
Answer» ANSWER :C

Discussion

3936.	Fourdice arethrownsimultaneously. Findthe probabilitythat : All of themshow the differentface .
Answer» `3/28` `5/18` `15/36` `11/36` ANSWER :B

Discussion

3937.	If 5^(-k) = 1/t, then the value of 5^(3k) is equal to :
Answer» `1/(3T)` 3t `t^3` DATA insufficient Answer :C

Discussion

3938.	A number plate of a vehicle has always a fixed code UP-32 for Lucknow city followed by the number of particular vehicle which is in two parts. First part is occupied by 2 English alphabets and second part is occupied by 4 digit numbers(0001,0002, ....9999). If the latest registration number of vehicle is {UP-32 SK-0123}, find the number of vehicles registered before this vehicle number in Lucknow.
Answer» A) 2449744 B) 4779644 B) 4669235 D) 9235888222 Answer :B

Discussion

3939.	Two points (1,1) and (1,5) lie on the circumference of a circle. Which of the following can be the area of that circle ?
Answer» `2sqrt2pi` `4PI` `3sqrt3pi` `6.67 PI` ANSWER :A

Discussion

3940.	The HCF and LCM of two numbers are 13 and 455 respectively. If one of the numbers lies between 75 and 125, then, that numbers is:
Answer» a) 78 b) 91 c) 104 d) 117 Answer :1

Discussion

3941.	In the given figure, O is the centre of the clrcle. angleABO = 60^(@). Find the value of angleACB :
Answer» `40^(@)` `60^(@)` `50^(@)` `30^(@)` ANSWER :D

Discussion

3942.	Shyam and Radha started walking towards each other from A & B at the speed of 21 km/h & 15 km/h respectively in order to meet each other. Shyam had walked 500 m more than Radha had walked. Find the distance between A and B.
Answer» ANSWER :3KM

Discussion

3943.	Four small squares of equal size are cut off from each of the four corners of a square sheet of area 576 sq cm. The remaining sheet is then folded in such a way that it becomes an open cuboidal box having maximum holding capacity. Find the side of the smaller square that has been cut off.
Answer» 6 3 2.4 4 Answer :D

Discussion

3944.	A builder decided to build a farmhouse in 45 days. He employed 106 men in the beginning and 53 more after 35 days and completed the construction in stipulated time. If he had not employed the additional men, how many days behing schedule would it have been finished?
Answer» 5 days 6 days 8 days 10 days Answer :A

Discussion

3945.	The third proportional to (x/y + y/x) andsqrt(x^2 + y^2) is
Answer» `XY` 1 `X ^(2) y ^(2)` `x ^(2) + y ^(2)` ANSWER :A

Discussion

3946.	If a^(x)=(x+y+z)^(y), a^(y)=(x+y+z)^(z), a^(z)=(x+y+z)^(x), then :
Answer» 3(x+y+z)=a 2a=x+y+z x+y+z=0 x=y=z=a/3 Answer :D

Discussion

3947.	The sum of three numbers in AP is 15 and sum of their squares is 93 find the greatest number
Answer» 6 10 8 7 Answer :C

Discussion

3948.	X and Y are centres of circles of a radii 9 cm and 2 cm respectively, XY = 17 cm. Z is the centre of a circle of radius r cm which touches of above circles externally. Given that angle XZY = 90^(@), the value of r is
Answer» ANSWER :X = 6

Discussion

3949.	How many different committes of 5 members may be formed 6 gentlemen and 4 ladies ?
Answer» 181 357 603 252 Answer :D

Discussion

3950.	If (x+y)/(x-y)=5/3 and x/(y+2)=2, then the value of (x,y) is
Answer» (4,1) (2,8) (1,4) (8,2) ANSWER :D

Discussion

Explore topic-wise InterviewSolutions in .

If all vowels occupy odd places, how many words can be formed from the letters of the word HALLUCINATION?

The ratio between the radius of the base and the height of a cylindrical pillar is 3:4 . If its volume is4851 m^(3) , the curved surface area of the pillar is :

There are n points in a plane no three of which are in the same straight line with the exception of m(n>m)points which are all in the same straight line. Find the number of triangles formed by joining them.

If x^(x^(3/2))=(x^(3/2))^x, the value of x :

A can finish 80% of work done by B in 20% more time taken by B. Working together they can finish the work in 40 days. In how many days they will finish the work working alone?

At what time between 5 o clock and 6 o clock in the morningwill theboth hands of a clock be art right angle

A fraction in reduced formis such that when it is squared and then itsnumerator is increased by 25% and the denominator is reduced to 80%it results in 5//8 of the original fraction. The product of the numerator and denominator is :

Convert (273)_8 to binary.

A sum of ? 11000 was taken as loan . This is to be paid in two equal annual instalments. If the rate of interest be 20% compounded annually, then the value of each instalment is

A shopkeeper sells his goods at C.P. but uses 900gm weight find profit %

ABC is an isosciles triangle a circle is such that it parses though vertex C and AB acts as a tangent at D for the same circle AC and BC intersects the circle at E and F respectively AC = BC = 4 cm. and AB = 6 cm. also D is the mid-point of AB. What is the ratio of EC : (AE+AD)?

If log_(5)[log_(3)(log_(2)x)]=1, then x is:

Solve the following expression : 8/3 + 13/6

When 335 is added to 5A7, the result is 8B2. 8B2 is divisible by 3. What is the largest possible value of A?

If 25% of a certain work is done by A and after that remaining was done by B, the work will be completed in 20 days. If 75% of the work is done by A and the remaining is done by B, the work will be completed in 30 days. If A and B work together, in how many days work will be completed?

ABCD is a regular trapezium in which AD || BC Diagonal AC and BD intersect at O, AO = 3 CO = X - 3 BO = 3X - 19 , DO = X - 5 . Find X

Three sets of English, mathematics and science books containing , 336, 240 and 96 books respectively have to be stacked in such a way that all the books are stored subjectwise and the height of each stack is the same. How many stacks will be there ?

A can win B by 250 m in a 2 km race. What should be the change in distance of startup? So, that B must cover 20% less distance than that by A in the same time.

Sameer can row a certain distance downstream in 24 h and can come back covering the same distance in 36 h. If the stream flows at the rate of 12 km/h, find the speed of Sameer in still water.

There is certain numbers of toys in the box. They are divided into such a way that the person who gets 1/4 of the whole gets thrice of what the others get on an average. Find the number of people amongst whom the toys are distributed?

The perimeter of a square is twice the perimeter of a rectangle. If the perimeter of the square is 72cm and the length of the rectangle is 12 cm, what is the difference between the breadth of the rectangle and the side of the square?

There are 3 boys and 4 girls, seated around a circular table so that no two boys are together. Find the number of ways in which this can be done.

84 Maths books, 90 Physics books and 120 Chemistry books have to be stacked topic wise. How many books will be their in each stack so that each stack will have the same height too?

Find the sum to n terms : 1+ 2x + 3x^2 + 4x^3 + … ,xne 1 :

Yogesh can run 1 km in 6 min 20 s and Vijay can cover the same distance in 6min 40s. By what distance can Yogesh beat Vijay?

If p and q(!=0)are the roots of the equationx^2+px+q=0, then the least value of x^2+px+q(x inR) is :

Four cards are drawn at a time from a pack of 5 playing cards. Find theprobability of getting all the four cards of the same suit.

2375.85 +18.01 - 4.525 xx 8.05 = ?

A publisher printed 2000 copies of a book at a cost of Rs 70,000. He distributes 400 copies free as specimen copies . He gave 30% discount on printed price and the printed price of each book is Rs 75. What is his gain or loss percentage?

Salary of Ratan in 2001 was $ 100 per day and his salary in 2002 was $ 125 per day. Again in 2003 his salary was $ 100 per day. What is the percentage increase in his salary in 2002 ? (ii) What is the percentage decrease in his salary in 2003 per 2002 ?

If a/b=b/c=c/d=d/e=e/f=1/3, then find the value of ((a+b+c+d+e)/(b+c+d+e+f)) :

How many integer values of x and y satisfy the expression 4x + 7y = 3 where |x|

Fourdice arethrownsimultaneously. Findthe probabilitythat : All of themshow the differentface .

If 5^(-k) = 1/t, then the value of 5^(3k) is equal to :

Two points (1,1) and (1,5) lie on the circumference of a circle. Which of the following can be the area of that circle ?

The HCF and LCM of two numbers are 13 and 455 respectively. If one of the numbers lies between 75 and 125, then, that numbers is:

In the given figure, O is the centre of the clrcle. angleABO = 60^(@). Find the value of angleACB :

Shyam and Radha started walking towards each other from A & B at the speed of 21 km/h & 15 km/h respectively in order to meet each other. Shyam had walked 500 m more than Radha had walked. Find the distance between A and B.

Four small squares of equal size are cut off from each of the four corners of a square sheet of area 576 sq cm. The remaining sheet is then folded in such a way that it becomes an open cuboidal box having maximum holding capacity. Find the side of the smaller square that has been cut off.

A builder decided to build a farmhouse in 45 days. He employed 106 men in the beginning and 53 more after 35 days and completed the construction in stipulated time. If he had not employed the additional men, how many days behing schedule would it have been finished?

The third proportional to (x/y + y/x) andsqrt(x^2 + y^2) is

If a^(x)=(x+y+z)^(y), a^(y)=(x+y+z)^(z), a^(z)=(x+y+z)^(x), then :

The sum of three numbers in AP is 15 and sum of their squares is 93 find the greatest number

X and Y are centres of circles of a radii 9 cm and 2 cm respectively, XY = 17 cm. Z is the centre of a circle of radius r cm which touches of above circles externally. Given that angle XZY = 90^(@), the value of r is

How many different committes of 5 members may be formed 6 gentlemen and 4 ladies ?

If (x+y)/(x-y)=5/3 and x/(y+2)=2, then the value of (x,y) is