8677 + Interview Questions in Maths in Class 14 Page 144 InterviewSolution

7151.	A person bought 7 apples for Rs 3. At what price his should sell 100 apples to get the profit of 33%.
Answer» ANSWER :RS. 57

Discussion

7152.	Answer these questions independently of each other 5 men and 4 women are to be seated for a dinner, In a row, such that no two men sit together. Find the number of ways in which this arrangements can be done.
Answer» 43200 2880 7200 21600 Answer :A

Discussion

7153.	If a number 45678x9231 is divisible by 3, then how many values are possible for x.
Answer» 1 2 3 4 Answer :d

Discussion

7154.	The sum and product of two numbers are 11 and 18 respectively. The sum of their reciprocals is
Answer» `(2)/(11)` `(11)/(2)` `(18)/(11)` `(11)/(18)` ANSWER :D

Discussion

7155.	Fourmenand threewomen are tobe seatedfor a dinnersuchthat no twowomen sittogetherand no twosittogetherand notwomensittogether. Findthe number of waysin whichthiscan bearranged.
Answer» 2880 20 86400 `9!-2(5!xx4!)` ANSWER :A

Discussion

7156.	A river 3 m deep and 60 m wide is flowing at the rate of 2.4 km/h . The amount of water running into the sea per minute is :
Answer» `6000 m^3` `6400 m^3` `6800 m^3` `7200 m^3` ANSWER :D

Discussion

7157.	Number of ways in which three numbers in AP can be selected from 1,2,3, . .,n is
Answer» `((N-1)^2)/(4)` `n^2` `n^3` `(n-2)^2` ANSWER :A

Discussion

7158.	How many terms are there in the A.P. whose first and fifth terms are-14 and 2 respectively and the sum of the terms is40?
Answer» 12 10 16 8 Answer :B

Discussion

7159.	If P = 3[x] + 5 and Q = 4[x + 3] + 6 and P : Q = 1 : 2, where [x] is the greatest integer less than or equal to x then the value of [P + Q/2] is :
Answer» 34 51 40 data INSUFFICIENT ANSWER :A

Discussion

7160.	(A + B) together can complete a job in 8 days. Both B and C working alone can finish the same job in 12 days. A and B commence work on the job and work for 4 days, where upon A leaves, B continues for 2 more days and then he leaves too, C now starts working and finishes the job, how many days will C require ?
Answer» ANSWER :4 DAYS

Discussion

7161.	A boat takes 5 hours more while going back in upstream than in downstream. If the distance between two places is 24 km and the speed of boat in still water be 5.5 km/h. What must be the speed of boat in still water so that it can row downstream, 24 km, in 4 hours?
Answer» 1.5 km/h 3.5 km/h 4.5 km/h 3 km/h Answer :B

Discussion

7162.	There are only five people in the Aman verma's family aman his wife a son and two daughters . The younger daughter's age . The younger daughter's age is (4/5)th of the elder's daughter's age. The age of eldest daughter is 3/8 times that of her father Aman and the age of the son is (1/5)th that of his father Aman.4 years a go the age of her wife was 8 times that of his son and now the sum of the ages of the younger daughter and wife is same as the sum of the ages of Amanand his son. The average age of the family is
Answer» 22.22 years 25.4 years 21.2 years none of these Answer :A

Discussion

7163.	A club has raised 75% of the amount it needs for a new building by receiving an average donation of ₹ 600 from the people already solicited. The people already solicited represents 60% of the people the club willask for donations. If the club is to raise exactly the amount needed for the new building, what should be the average donation from the remaining people to be solicited?
Answer» 250 300 400 600 Answer :B

Discussion

7164.	Solve the following questions on the basis of given data in the following table : The production of rice in 1959-60 is what percentage of rice in 1960-61.
Answer» `86.66%` `75.6%` `83.33%` `16.66%` ANSWER :C

Discussion

7165.	Four runners started running simultaneously from a point on a circular track. They took 200 second, 300 seconds, 360 seconds and 450 second to complete one round. After how much time do they meet at the starting point for the first time?
Answer» 1800 SECONDS 3600 seconds 2400 seconds 4800 seconds Answer :A

Discussion

7166.	Find the remainder when 1661 + 1551 + 1441 + 1331 + 1221 is divided by 20.
Answer» SOLUTION :The remainders when 1666,1551,1441,1331,1221 are divided by 20 are 1,11,1,11,1.So the requried REMAINDER can be obtained just by DIVIDING 1+11+1+11+1(=25) by 20. Hence the requried remainder is 5.

Discussion

7167.	In the given figure, the lines represent one way roads allowing travel only northwards or only westwards. Along how many distinct routes can a car reach point B from point A?
Answer» 15 56 120 336 Answer :B

Discussion

7168.	I know a two digit number, but when its digits swap their places and we get another two digit number But when these two digit numbers are added, it amounts to 99. Further if I just consider the difference between these numbers, it comes out to be 45. What is the number which I know?
Answer» 27 38 72 data insufficient Answer :D

Discussion

7169.	If the height of a cone is half the radius of a sphere then the radius of the base of the cone, which has the same volume as a sphere of radius 7 cm is :
Answer» 14 m `(14)/SQRT2 cm` `14sqrt2 cm` NONE of these Answer :C

Discussion

7170.	A number N is divided into three parts such that sum of first 2 parts is equal to K%of 3rd part. What is the 3rd part?
Answer» ANSWER :`(100N)/(K + 100)`

Discussion

7171.	If the coordinates of the mid points of the sides of a triangle are (1,2) , (0,-1) and (2,-1) . Find the coordinates of its vertices :
Answer» a. (1,-4) , (3,2) , (-1,2) B. (1,2) (2,3) ,(3,-4) c. (3,4), (5,2) , (1,2) d. NONE of these Answer :A

Discussion

7172.	Ratio of Loss incurred by selling an article for Rs 820 and profit gained by selling same article for Rs 950 is 7 : 6. Find the cost price of this article?
Answer» ANSWER :Rs.890

Discussion

7173.	Find the number of permutations that can be made from the letters of the word 'OMEGA'.Vowels occupying odd places .
Answer» a. 12 ways b. 16 ways c. 6 ways d. 20 ways Answer :A

Discussion

7174.	The set of values for which x^(3)+1 ge x^(2)+x is
Answer» `XGE0` `XLE0` `xge-1` `-1lexle1` ANSWER :C

Discussion

7175.	A ladder rests against a wall making an angle alpha with the horizontal. The foot of the ladder is pulled away from the wall through a distance ‘a’ so that it slides a distance ‘b’ down the wall making an angle beta with the horizontal then the value of (a)/(b) is
Answer» `TAN""(alpha+beta)/(2)` `tan""(2)/(alpha+beta)` `alpha+beta` `alpha+beta` ANSWER :A

Discussion

7176.	Find the value of log_y"x"xxlog_zyxxlog_xz
Answer» 0 1 logx xyz Answer :B

Discussion

7177.	If 187 ! is exactlydivisible by15^(n). Find max. value of n.
Answer» ANSWER :`=45`

Discussion

7178.	Three vessels whose capacities are as 3 : 2 : 1 are completely filled with milk mixed with water. The ratio of milk to water in the mixture of vessels are as 5 : 2, 4 : 1 and 4 : 1 respectively. Find the percentageof water in the new mixture obtained when 1/3 of first, 1/2 of second and 1/7 of the third vessel is taken out and mixed together.
Answer» ANSWER :0.24

Discussion

7179.	After reaching east of the shop it can't move on further than the given distance on the current path. For how many markets can it supply its tiffins directly?
Answer» 4 5 7 can't be determined Answer :C

Discussion

7180.	The straight lines I_(1),I_(2),I_(3) are paralled and lie in the same plane. A total number of m point are taken on I_(1),n points on I_(2), k points on I_(3). The maximum number of triangles formed with vertices at these points are
Answer» `""^(m)C_3xx ""^(n)C_3 XX ""^(k)C_3` `""^((m+n+k))C_3-(""^(m)C_3 +""^(n)C_3"""^(k)C_3)` `""^((m+n+k))C_3` NONE of these Answer :B

Discussion

7181.	A number when divided by 14 leaves a remainder of 8, but when the same number is divided by 7, it well leave the remainder :
Answer» 3 5 1 7 Answer :C

Discussion

7182.	By selling 12 apples for a rupee, a man loses 20%. How many for a rupee should he sell to gain 20%?
Answer» 8 10 15 16 Answer :A

Discussion

7183.	If tan ^2 theta =1-e ^(2), thensec theta + tan ^(3) theta cosec theta =
Answer» `(1-e^(2))^(3//2)` `(1-e^(2))^(1//2)` `(2-e^(2))^(3//2)` `(2+e^(2))^(1//2)` ANSWER :C

Discussion

7184.	The number of different words which can be formed from the letters of the word LUCKNOW when the vowels always occupy even places in
Answer» A. 650 B. 620 C. 720 D. 1002 Answer :B

Discussion

7185.	If the ratio of sides of A Deltaare 4 : 5 : 6inradius = 3 cm . Findthe largest altitude
Answer» ANSWER :`H = (45)/(4)`

Discussion

7186.	Three friends had dinner at a restaurant. When the bill was received, Akshitha paid 2/3 as much as Veena paid and Veena paid 1/2 as much as Lasya paid. What fraction of the bill did Veena pay ?
Answer» A) 11/3 B) 2/13 C) 3/11 D) 13/4 Answer :35 km/h

Discussion

7187.	Which name is invalid :–
Answer» `(325)_(7)` `(345)_(5)` `(543)_(6)` NONE of these ANSWER :B

Discussion

7188.	Principal ₹ 12000 amounts to ₹ 20736 in 3 years at R% p.a. of compound interest. Find thevalue of R?
Answer» `10%` `25%` `12%` `20%` Answer :B

Discussion

7189.	If(9^nx3^2x(3^(-n/2))^(-2)-(27)^n)/(3^(3m)x2^3)=1/(27),Prove that m-n=1.
Answer» -1 1 2 -2 Answer :B

Discussion

7190.	A gives B a start of 30 m or 10 sec and end up the race of 1 km in dead heatwhat is the ratio of speeds of A and b?
Answer» ANSWER :100 : 97

Discussion

7191.	How many 8 digit numbers can be formed with the digits 1,2,3,4,5,6,7,8 such that no digit repeats and none of the patterns 12,32,56, or 78 appears in any arrangements?
Answer» 24096 24024 16296 none of these Answer :B

Discussion

7192.	A shopkeeper sells his goods at C.P. but cheats to the extent of 10% while buying as well as selling by using false weight. Find profit %.
Answer» ANSWER :`(200)/(9)%`

Discussion

7193.	If ab, cd, ba and dc are two digit numbers then the maximum value of (ab xx cd) - (ba xx dc) is , where a,b,c,d are distinct non-zoro integers:
Answer» 7938 7128 6930 none of these Answer :C

Discussion

7194.	If mtan(theta-30^(@))=ntan(theta+120^(@)), then (m+n)/(m-n)=?
Answer» `2cos2theta` `COS2THETA` `2sin2theta` `SIN2THETA` ANSWER :A::B::C

Discussion

7195.	A circle touch sides of A Delta ABCi.e. AB, BC, AC at P, Q, R repectivelylength of side AB, BC and CA are 10, 12and 14. Find AP
Answer» ANSWER :AP = 6 CM

Discussion

7196.	A takes 27 days more than (A + B) together to complete a work. B takes 3 days more than (A + B) together to complete a work. In how many days will (A + B) complete this work ?
Answer» ANSWER :9 DAYS

Discussion

7197.	When the parabola opens, upward, then which.of the followfng condition must be satisfied?
Answer» `DGT0` `alt0` `AGT0` `AGTBGTC` ANSWER :C

Discussion

7198.	A circle has its total area A. there are four equal circle tangent to this circle passing through the centre of this circle and tangent to this circle. The area of each such circle is B. the area of each region that is created by overlapping of any two of these circles is D and the area of each region that is not covered by these circles within the larger circle is C. if D=pi/25, find the value of C.
Answer» `2pi/25` `pi/root(5)(5)` `pi/49` NONE of these Answer :D

Discussion

7199.	Which is not the factor of 4^(6n) - 6^(4n) for any postive interger n?
Answer» 5 25 7 None of these ANSWER :D

Discussion

7200.	A shipping clerk has to weigh 6 distinct packets. He weighs them four at a time, weighting all the possible combinations of the packets from the six. The average weight of all the weighing combinations is found to be 500 g. What is the combined weight of all the six packets?
Answer» ANSWER :750 GM

Discussion

Explore topic-wise InterviewSolutions in .

A person bought 7 apples for Rs 3. At what price his should sell 100 apples to get the profit of 33%.

Answer these questions independently of each other 5 men and 4 women are to be seated for a dinner, In a row, such that no two men sit together. Find the number of ways in which this arrangements can be done.

If a number 45678x9231 is divisible by 3, then how many values are possible for x.

The sum and product of two numbers are 11 and 18 respectively. The sum of their reciprocals is

Fourmenand threewomen are tobe seatedfor a dinnersuchthat no twowomen sittogetherand no twosittogetherand notwomensittogether. Findthe number of waysin whichthiscan bearranged.

A river 3 m deep and 60 m wide is flowing at the rate of 2.4 km/h . The amount of water running into the sea per minute is :

Number of ways in which three numbers in AP can be selected from 1,2,3, . .,n is

How many terms are there in the A.P. whose first and fifth terms are-14 and 2 respectively and the sum of the terms is40?

If P = 3[x] + 5 and Q = 4[x + 3] + 6 and P : Q = 1 : 2, where [x] is the greatest integer less than or equal to x then the value of [P + Q/2] is :

A boat takes 5 hours more while going back in upstream than in downstream. If the distance between two places is 24 km and the speed of boat in still water be 5.5 km/h. What must be the speed of boat in still water so that it can row downstream, 24 km, in 4 hours?

Solve the following questions on the basis of given data in the following table : The production of rice in 1959-60 is what percentage of rice in 1960-61.

Four runners started running simultaneously from a point on a circular track. They took 200 second, 300 seconds, 360 seconds and 450 second to complete one round. After how much time do they meet at the starting point for the first time?

Find the remainder when 1661 + 1551 + 1441 + 1331 + 1221 is divided by 20.

In the given figure, the lines represent one way roads allowing travel only northwards or only westwards. Along how many distinct routes can a car reach point B from point A?

I know a two digit number, but when its digits swap their places and we get another two digit number But when these two digit numbers are added, it amounts to 99. Further if I just consider the difference between these numbers, it comes out to be 45. What is the number which I know?

If the height of a cone is half the radius of a sphere then the radius of the base of the cone, which has the same volume as a sphere of radius 7 cm is :

A number N is divided into three parts such that sum of first 2 parts is equal to K%of 3rd part. What is the 3rd part?

If the coordinates of the mid points of the sides of a triangle are (1,2) , (0,-1) and (2,-1) . Find the coordinates of its vertices :

Ratio of Loss incurred by selling an article for Rs 820 and profit gained by selling same article for Rs 950 is 7 : 6. Find the cost price of this article?

Find the number of permutations that can be made from the letters of the word 'OMEGA'.Vowels occupying odd places .

The set of values for which x^(3)+1 ge x^(2)+x is

A ladder rests against a wall making an angle alpha with the horizontal. The foot of the ladder is pulled away from the wall through a distance ‘a’ so that it slides a distance ‘b’ down the wall making an angle beta with the horizontal then the value of (a)/(b) is

Find the value of log_y"x"xxlog_zyxxlog_xz

If 187 ! is exactlydivisible by15^(n). Find max. value of n.

After reaching east of the shop it can't move on further than the given distance on the current path. For how many markets can it supply its tiffins directly?

The straight lines I_(1),I_(2),I_(3) are paralled and lie in the same plane. A total number of m point are taken on I_(1),n points on I_(2), k points on I_(3). The maximum number of triangles formed with vertices at these points are

A number when divided by 14 leaves a remainder of 8, but when the same number is divided by 7, it well leave the remainder :

By selling 12 apples for a rupee, a man loses 20%. How many for a rupee should he sell to gain 20%?

If tan ^2 theta =1-e ^(2), thensec theta + tan ^(3) theta cosec theta =

The number of different words which can be formed from the letters of the word LUCKNOW when the vowels always occupy even places in

If the ratio of sides of A Deltaare 4 : 5 : 6inradius = 3 cm . Findthe largest altitude

Three friends had dinner at a restaurant. When the bill was received, Akshitha paid 2/3 as much as Veena paid and Veena paid 1/2 as much as Lasya paid. What fraction of the bill did Veena pay ?

Which name is invalid :–

Principal ₹ 12000 amounts to ₹ 20736 in 3 years at R% p.a. of compound interest. Find thevalue of R?

If(9^nx3^2x(3^(-n/2))^(-2)-(27)^n)/(3^(3m)x2^3)=1/(27),Prove that m-n=1.

A gives B a start of 30 m or 10 sec and end up the race of 1 km in dead heatwhat is the ratio of speeds of A and b?

How many 8 digit numbers can be formed with the digits 1,2,3,4,5,6,7,8 such that no digit repeats and none of the patterns 12,32,56, or 78 appears in any arrangements?

A shopkeeper sells his goods at C.P. but cheats to the extent of 10% while buying as well as selling by using false weight. Find profit %.

If ab, cd, ba and dc are two digit numbers then the maximum value of (ab xx cd) - (ba xx dc) is , where a,b,c,d are distinct non-zoro integers:

If mtan(theta-30^(@))=ntan(theta+120^(@)), then (m+n)/(m-n)=?

A circle touch sides of A Delta ABCi.e. AB, BC, AC at P, Q, R repectivelylength of side AB, BC and CA are 10, 12and 14. Find AP

A takes 27 days more than (A + B) together to complete a work. B takes 3 days more than (A + B) together to complete a work. In how many days will (A + B) complete this work ?

When the parabola opens, upward, then which.of the followfng condition must be satisfied?

Which is not the factor of 4^(6n) - 6^(4n) for any postive interger n?

A shipping clerk has to weigh 6 distinct packets. He weighs them four at a time, weighting all the possible combinations of the packets from the six. The average weight of all the weighing combinations is found to be 500 g. What is the combined weight of all the six packets?