8677 + Interview Questions in Maths in Class 14 Page 123 InterviewSolution

6101.	The ratio ofmilk and water mixture of four containers are 5 : 3, 2 : 1, 3 : 2 and 4 : 5 respectively. In which container, is the quantity of milk relative to waterminimum ?
Answer» First Second Third Fourth Answer :D

Discussion

6102.	Out of the following four choices which does not show the coinciding of the hour hand and minute-hand :
Answer» `3:16:2` `6:32:43` `9:59:05` `5:27:16` ANSWER :C

Discussion

6103.	A corrupt country receives some educational grant from the UNESCO is the form of digital notebooks. The total number of notebooks that this country receives is N=(P!)/(Q!), where 0lePle99 and 0leQle99 such that P-Q=10. The country is diveided into varios levels L_1,L_2,L_3,... etc for adiministrative conveniences. Intitially, all the notebooks are with the head of L_1, who keeps half of the notebooks with himself and rest half of the nootbooks he doles out equally to the each head of L_2. Similarly, each head of L_2 keeps half of the notebooks with oneself and rest half of the notebooks he doles out to the each head of L_3 this pattern occurs till the level L_x to divide the number of notebooks to any of the heads of L_(x+1) and thus to the expected beneficiary. That is, the general public, which is supposed to receive the notebooks directly from L_(x+1) never receives any notebook. Also at any level the number of heads is never equal to 2. What's the maximum possible value of x?
Answer» 10 11 12 none of these Answer :D

Discussion

6104.	What is the product of the roots of the equation x^(3)-sqrt3=0?
Answer» ANSWER :`- SQRT3`

Discussion

6105.	A table below shows the production and imports of circle oil (in '000 tonnes). Domestic production of crude oil is total of on-share and off-shore production, which is supplemented by imports to meet the total demand of crude oil in the country. What was the approx-percentage increase in imports of crude oil from 2001 to 2003 :
Answer» `49%` `65%` `43%` none of these Answer :C

Discussion

6106.	The side of a regular decagon is 4 cm Find the longest possible diagonal of the decagon.
Answer» `4sqrt(46+20sqrt5) CM` `4sqrt(12sqrt5) cm` `4sqrt(46-20sqrt5) cm` `SQRT(15-2sqrt5) cm` ANSWER :A

Discussion

6107.	The following table gives the sales details of the books for CAT written by Sarvesh : Which of the categories shows the lowest growth rate from 2000 to 2005 ?
Answer» QA DI VA LR Answer :B

Discussion

6108.	The product of two numbers is 1280 and their HCF is 8. The LCM of the number will be:
Answer» 160 150 120 140 Answer :A

Discussion

6109.	The tablegiven below shows the percent-age of literate people in 6 cities . This table also shows the ratio of males to females among literate people . {:("City","%of literate people ","Males : Females"),(" " 1," "80," "4:5),(" "2," "85," "7 :4),(" "3," "78," "3 : 2),(" "4," "63," "1 : 1),(" "5," "92," "9 : 7 ),(" "6 ," "58," "2 : 3):}% of literate people of any city = (Literate people of the city / Total population of the city ) xx 100Thepopulations of the 6 cit-iesare 250000, 200000, 220000, 300000, 150000 and 400000 respectively. Which is the correctorderof the number of literate people in these cities?
Answer» City 6 `GT` City 1 `gt` City 4 `gt `City 2 `gt` City 3 `gt` City 5 City 4 `gt `City 6 `gt` City 1 `gt`City 2 `gt`City 3 `gt`City 5 City 6`gt` City 4 `gt`City 1` gt`City 3 `gt`City 2`gt`City 5 City 6`gt` City 1 `gt`City 4` gt`City 3 `gt`City 2`gt`City 5 ANSWER :D

Discussion

6110.	(28)/(65)xx(195)/(308)div (39)/(44)+(5)/(26)=?
Answer» `1/3` 0.75 `1(1)/(2)` `(1)/(2)` SOLUTION :`?=(28)/(65)xx(195)/(308) div (39)/(44) +(5)/(26) = (28)/(65) xx (195)/(308)xx(44)/(39) + (5)/(26)` `=(4)/(13)+(5)/(26)=(8+5)/(26) = (13)/(26) = (1)/(2)`

Discussion

6111.	Find the angle between two lines x+2y-111=0 and x-3y-19=0
Answer» ANSWER :`45^(@)`

Discussion

6112.	Five question were asked in an examination. 5%of the total examinees answered all 5 questions and 5%of total examinees did not answered any question. 25%of the rest of the examinees answered only 1 question and 20%answered4 questions. 24 (1)/( 2)% of the totalexaminees answered only 2 questions. If 200 examinees answered3 questions,then find the total number of examinees.
Answer» ANSWER :800

Discussion

6113.	In the kingdom of YAMRAJ, there are certain number of souls in a particular day. Where a single soul can merge with another soul in every second and thus two souls reduced to a single soul and if any soul can not merge with anyother soul in a particular second then it has to become a ghost and suffer in the hell. Thus every soul tries to avoid to become a ghost, but after a certain time it has to go to hell after maximum possible survival. If after n seconds there are k souls left, then what is the maximum number of souls there can be intially in a particular day?
Answer» `2^(KN)` `2^(kn)+2K` `2^nk+2^n-1` `2^kn+2^n+1` ANSWER :C

Discussion

6114.	In the kingdom of YAMRAJ, there are certain number of souls in a particular day. Where a single soul can merge with another soul in every second and thus two souls reduced to a single soul and if any soul can not merge with anyother soul in a particular second then it has to become a ghost and suffer in the hell. Thus every soul tries to avoid to become a ghost, but after a certain time it has to go to hell after maximum possible survival. In a particlar day there were (2^(43200)-1) souls after how many seconds will all the souls become ghost:
Answer» A) 43200 B) 43199 C) 43201 D) 21600 Answer :A

Discussion

6115.	In the triangle ABC, side BC is produced to D. angleACD=100^(@) if BC = AC. Then angleABC is :
Answer» `40^(@)` `50^(@)` `80^(@)` can't be determined Answer :B

Discussion

6116.	a: (b +c) ::1:3 c: (a+b) ::5:7 find b: (a+c) = ?
Answer» `1:2` `2:1` `3:2` `5:3` ANSWER :A

Discussion

6117.	The remainder of 2^243/3^2 is :
Answer» 8 10 4 none Solution :`2^243/3^2=(2^3)^81/9=8^81/9=8^81/(8+1)` HENCE the REMAINDER is 8 since the POWER of 8 is ODD.

Discussion

6118.	Three pipes A, B and C can fill a cistern in 8 minutes,12 minutes and 16 minutes respectively. What is the time taken by three pipes to fill the cistern when they are opened together?
Answer» 5 minutes 4 minutes 3.7 minutes 4.5 minutes Answer :A

Discussion

6119.	The value of 0.1bar23 is:
Answer» a) 61/495 b) 71/485 c) 62/719 d) 123/999 Answer :A

Discussion

6120.	Find all the vertical asymptotes and holes of ((x+3)(x-7))/((2x-5)).
Answer» Solution :SINCE `2x-5=0impliesx=5//2` Thereforethere is only one VERTICAL asymptotes, `x=5//2`. Since there is no common factor in NUMERATOR and denominator, so there won.t be any hole in the GRAPH.

Discussion

6121.	There are three stations A, B and C and five routes for going from station A to B and four routes from station B to C. Find the number of different ways through which a person can go from A to C via B.
Answer» ANSWER :20

Discussion

6122.	A sum of money becomes Rs. 3600 in 2 years and Rs. 5184 in 4 years on compound interest. Find the rate of compound interest.
Answer» ANSWER :`20%`

Discussion

6123.	What will be the difference between simple and compound interest on a sum of Rs. 4500 put for 2 years at 5% per annum?
Answer» ANSWER :RS. 112.50

Discussion

6124.	What is the ratio of relative speed of both the trains while travelling towards the same direction and while travelling towards the same direction and while travelling towards opposite direction ?
Answer» `10 :1` `9 : 2` `1 : 10` `10 : 3` SOLUTION :Required ratio = `(66-54)/(66 + 54) = 1 : 10`

Discussion

6125.	If the students of a class can be grouped exactly into 6 or 8 or 10, then the minimum number of student in the class must be.
Answer» 60 120 180 240 Answer :B

Discussion

6126.	Two straight lines intersect at a point O. Points A_1, A_2 ..., A_n are taken on one line and points B, B_2, ..., B_n, on the other. If the point O is not to be used, then the number of triangles that can be drawn using these points as vertices, is
Answer» `""^(N)C_2+""^(m)C_2` `""^(2N)C_2` `""^(m+n)C_2` NONE of these Answer :D

Discussion

6127.	x^2+1lt0
Answer» `-1lexle1` `-1ltxlt0` Does not exist none of these Answer :C

Discussion

6128.	3^(6 . 5) *27^(-5) xx 9^(2) = 3^(?)
Answer» a. 5 b. 4.5 C. 7 d. 6.5 Answer :C

Discussion

6129.	Let A = {3, pi , sqrt(2) ,- 5,3 + sqrt(7),2//7}. The subset of A containigall the elementsfrom it whichare irrational number is :
Answer» `{PI,sqrt2,3+sqrt7}` `{3,pi,2//7,-5,+3sqrt7}` `{3,2//7,-5}` {3,-5} ANSWER :A

Discussion

6130.	(sintheta)/(cottheta+cosectheta)-(sintheta)/(cottheta-cosectheta)=?
Answer» 1 2 3 0 Answer :B

Discussion

6131.	A person starts to walk at 7 am from A and reaches B at 11 am and another person starts to walk from B at 8 am and reaches A at 11:30 am. Find the time at which they will meet each other.
Answer» ANSWER :` 9 : 24 am `

Discussion

6132.	If a/b=3/4 then find the value of 7a-4b:3a+b.
Answer» 7:1 0.21736111111111 12:1 none of these SOLUTION :Simply substitude the value of a and B as 3 and 4 in the given ALGEBRAIC ratio as `(7xx3-4xx4):(3xx3+4)=5:13`

Discussion

6133.	Ifa : b = b: c,then a^2 equal to
Answer» `AC : B^2` `a^2 : c^2` `c^2 : a^2` `b^2 : ac` ANSWER :B

Discussion

6134.	The true discount on a bill of ? 900 is ? 100. Find the banker's discount.
Answer» ANSWER :RS. 112.50

Discussion

6135.	If 2x^(1//3)/(2x^(-1//3))=5,"then "x^(1//3) is equal to
Answer» ANSWER :B

Discussion

6136.	There are 42 students in a hostel. If the number of students increases by 7, then the expenses of the mess increased by Rs. 32.5 per day while the average expenditure per head diminishes by Rs. 1.5. Find the original expenditure of the mess.
Answer» ANSWER :RS. 636

Discussion

6137.	A number when divided by 5 leaves a remainder of 4, when the double (i.e., twice) of that number is divided by 5 the remainder will be :
Answer» 0 1 3 can't be determined Answer :C

Discussion

6138.	If two equal circles are such that the centre of one lies on e circumference of the other, then the ratio of the common chord of two circles to the radius of any of the circles is :
Answer» `sqrt3:2` `sqrt3:1` `sqrt5:1` NONE of these Answer :B

Discussion

6139.	A man buys 5 horses and 10 cows for Rs 1600. He sells horses at a profit of 15% and cows at a loss of 10%. If his over all profit was Rs 90, what was the cost price of a horse and of a cow?
Answer» Rs 150, Rs 85 Rs 200, Rs 60 Rs 220, Rs 40 Rs 180, Rs 70 Answer :B

Discussion

6140.	Find the valueof 2cos45^(@).cos15^(@):
Answer» `((sqrt3+1))/(2SQRT2)` `((sqrt3-1))/2` `(sqrt3+1)/2` NONE of these Answer :C

Discussion

6141.	In the following division problem some digits are replaced by letters a,b,c…….etc. The value of a + g is :
Answer» 7 8 10 None of these ANSWER :C

Discussion

6142.	If 1 , log_y , x , log_z , y , -15 log_x z are in A.P. , then which is correct ?
Answer» a. `Z^(3)=x` b. `x=y^(-1)` C. `z^(-3)=y` d. `x=y^(-1) =z^(3)` Answer :D

Discussion

6143.	If a, b, c are the distinct positive numbers than (a+b+c)(ab+bc+ac) is :
Answer» GREATER than 9abc less than 8abc equal to 10abc greater than 25abc Answer :A

Discussion

6144.	If f(x)=x^(3)-x^(2), then f(x+1) is :
Answer» `X^3-x^2+1` `x(x+1)^2` `x^2(x-1)` NONE of these Answer :B

Discussion

6145.	Two trains running in opposite directions cross a man standing on the platfor min 54 s and 34 s respectively and they cross each other in 46 s. Find the ratio of their speeds.
Answer» a. `3:2` B. `2:3` C. `5:3` d. `3:5` ANSWER :A

Discussion

6146.	A fox, camouflaged in the bush, observes from the ground, that it takes 2 minutes for the angle of elevation of the squirrel to change from 30^@to 60^@. If the speed of fox is sqrt3 times that of the squirrel, find the time taken by fox to reach the tree from the bush.
Answer» 1 MINUTE `SQRT3` minute 3 minute `4/sqrt3` minute Answer :A

Discussion

6147.	How many 7 digit telephone numbers can be formed from the digits 0, 1, 2, ..., 9, where each telephone number begins with digit 2
Answer» `10^6` `6^10` 10! `^10P_6` ANSWER :A

Discussion

6148.	sqrt(289) div sqrt(x) = 1/5, then the value of x is :
Answer» `17/25` `34/35` 235 7225 Answer :D

Discussion

6149.	Aarti has to pay Rs 440 to Babita after 1 yr. Babita asks Aarti to pay RS 220 in cash and defer the payment of RS 220 for 2 yr. Aarti agrees to it. If the rate of interest be 10% per annum, find Aarti's gain or loss.
Answer» AARTI GAINS X 3.33 Aarti gains X 8 Aarti LOSSES X 9 Aarti losses X 3.33 Answer :D

Discussion

6150.	What is the sum of 100 terms of the series 1-2+3-4+5-6+…. ?
Answer» 100 50 550 none Answer :D

Discussion

Explore topic-wise InterviewSolutions in .

The ratio ofmilk and water mixture of four containers are 5 : 3, 2 : 1, 3 : 2 and 4 : 5 respectively. In which container, is the quantity of milk relative to waterminimum ?

Out of the following four choices which does not show the coinciding of the hour hand and minute-hand :

What is the product of the roots of the equation x^(3)-sqrt3=0?

The side of a regular decagon is 4 cm Find the longest possible diagonal of the decagon.

The following table gives the sales details of the books for CAT written by Sarvesh : Which of the categories shows the lowest growth rate from 2000 to 2005 ?

The product of two numbers is 1280 and their HCF is 8. The LCM of the number will be:

(28)/(65)xx(195)/(308)div (39)/(44)+(5)/(26)=?

Find the angle between two lines x+2y-111=0 and x-3y-19=0

In the triangle ABC, side BC is produced to D. angleACD=100^(@) if BC = AC. Then angleABC is :

a: (b +c) ::1:3 c: (a+b) ::5:7 find b: (a+c) = ?

The remainder of 2^243/3^2 is :

Three pipes A, B and C can fill a cistern in 8 minutes,12 minutes and 16 minutes respectively. What is the time taken by three pipes to fill the cistern when they are opened together?

The value of 0.1bar23 is:

Find all the vertical asymptotes and holes of ((x+3)(x-7))/((2x-5)).

There are three stations A, B and C and five routes for going from station A to B and four routes from station B to C. Find the number of different ways through which a person can go from A to C via B.

A sum of money becomes Rs. 3600 in 2 years and Rs. 5184 in 4 years on compound interest. Find the rate of compound interest.

What will be the difference between simple and compound interest on a sum of Rs. 4500 put for 2 years at 5% per annum?

What is the ratio of relative speed of both the trains while travelling towards the same direction and while travelling towards the same direction and while travelling towards opposite direction ?

If the students of a class can be grouped exactly into 6 or 8 or 10, then the minimum number of student in the class must be.

Two straight lines intersect at a point O. Points A_1, A_2 ..., A_n are taken on one line and points B, B_2, ..., B_n, on the other. If the point O is not to be used, then the number of triangles that can be drawn using these points as vertices, is

x^2+1lt0

3^(6 . 5) *27^(-5) xx 9^(2) = 3^(?)

Let A = {3, pi , sqrt(2) ,- 5,3 + sqrt(7),2//7}. The subset of A containigall the elementsfrom it whichare irrational number is :

(sintheta)/(cottheta+cosectheta)-(sintheta)/(cottheta-cosectheta)=?

A person starts to walk at 7 am from A and reaches B at 11 am and another person starts to walk from B at 8 am and reaches A at 11:30 am. Find the time at which they will meet each other.

If a/b=3/4 then find the value of 7a-4b:3a+b.

Ifa : b = b: c,then a^2 equal to

The true discount on a bill of ? 900 is ? 100. Find the banker's discount.

If 2x^(1//3)/(2x^(-1//3))=5,"then "x^(1//3) is equal to

There are 42 students in a hostel. If the number of students increases by 7, then the expenses of the mess increased by Rs. 32.5 per day while the average expenditure per head diminishes by Rs. 1.5. Find the original expenditure of the mess.

A number when divided by 5 leaves a remainder of 4, when the double (i.e., twice) of that number is divided by 5 the remainder will be :

If two equal circles are such that the centre of one lies on e circumference of the other, then the ratio of the common chord of two circles to the radius of any of the circles is :

A man buys 5 horses and 10 cows for Rs 1600. He sells horses at a profit of 15% and cows at a loss of 10%. If his over all profit was Rs 90, what was the cost price of a horse and of a cow?

Find the valueof 2cos45^(@).cos15^(@):

In the following division problem some digits are replaced by letters a,b,c…….etc. The value of a + g is :

If 1 , log_y , x , log_z , y , -15 log_x z are in A.P. , then which is correct ?

If a, b, c are the distinct positive numbers than (a+b+c)(ab+bc+ac) is :

If f(x)=x^(3)-x^(2), then f(x+1) is :

Two trains running in opposite directions cross a man standing on the platfor min 54 s and 34 s respectively and they cross each other in 46 s. Find the ratio of their speeds.

A fox, camouflaged in the bush, observes from the ground, that it takes 2 minutes for the angle of elevation of the squirrel to change from 30^@to 60^@. If the speed of fox is sqrt3 times that of the squirrel, find the time taken by fox to reach the tree from the bush.

How many 7 digit telephone numbers can be formed from the digits 0, 1, 2, ..., 9, where each telephone number begins with digit 2

sqrt(289) div sqrt(x) = 1/5, then the value of x is :

Aarti has to pay Rs 440 to Babita after 1 yr. Babita asks Aarti to pay RS 220 in cash and defer the payment of RS 220 for 2 yr. Aarti agrees to it. If the rate of interest be 10% per annum, find Aarti's gain or loss.

What is the sum of 100 terms of the series 1-2+3-4+5-6+…. ?