8677 + Interview Questions in Maths in Class 14 Page 96 InterviewSolution

4751.	Answer these questions based on the following informations After completing his MBA, Zafar shifted to a new flat where he bought a new bookself and a set of 7 novels. The names of these novels, In the chronoligical order, are A,B,C,D,E, F and G He wants to keep the novels in his bookshelf such that the first two novels of the series are always kept together, find the number of ways in which he can arrange all the novels
Answer» 120 2440 720 1440 Answer :D

Discussion

4752.	A policeman sees a chain snatcher at a distance of 50 m. He starts chasing the chain snatcher who is running with a speed of 2m/s while the policeman chasing him with a speed of 4 m/s. Find the distance covered by the chain snatcher when he is caught by the policeman.
Answer» ANSWER :`=50 m`

Discussion

4753.	Two numbers, when divided by 17, leave remainders 13 and 11 respectively. If the sum of those two numbers is divided by 17, the remainder will be
Answer» 13 11 7 4 Answer :C

Discussion

4754.	Answer these questions based on the following informations After completing his MBA, Zafar shifted to a new flat where he bought a new bookself and a set of 7 novels. The names of these novels, In the chronoligical order, are A,B,C,D,E, F and G If he wants to keep at least 4 novels in his bookshelf, find the number of ways in which he can arrange the novels
Answer» 13440 1440 12440 840 Answer :A

Discussion

4755.	Answer these questions based on the following informations After completing his MBA, Zafar shifted to a new flat where he bought a new bookself and a set of 7 novels. The names of these novels, In the chronoligical order, are A,B,C,D,E, F and G Find the number of ways in which we can arrange all the 7 novels in his bookshelf.
Answer» 420 24 28 840 Answer :D

Discussion

4756.	Let ABCD be a square of side length 2 units. Let C_1 be the incircle and C_2 be the circumcircle of the square ABCD. If P is a point on C_1 and Q is a point on C_2, the value of (PA^2+PB^2+PC^2+PD^2)/(QA^2+QB^2+QC^2+QD^2) is
Answer» A) 0.75 B) 1.25 C) 1 D) 0.5 Answer :A

Discussion

4757.	Solve sqrt(x+5)sqrt(x+21)=sqrt(6x+40.)
Answer» 1 2 4 6 Answer :C

Discussion

4758.	2 equal containers have milk and water in the ratio 2: 1 and 3 :1 . Respectively , If both containers are emptied into a biggercontainer, then find the ratio of milk to water in bigger container ?
Answer» ANSWER :` 17 : 7`

Discussion

4759.	I wanted to purchase 10 chairs for the class room whose cost was ₹ 200 each. The trader offered me a discount if I were to purchase a set of 12 chai₹ So, I calculated that if I assume the normal price of 10 chairs, then we can purchase 2 extra chairs which cost me only ₹ 80 each of two chairs at the cost price of 12 chairs after discount. What is the percentage discount?
Answer» 0.06 0.08 0.12 0.1 Answer :D

Discussion

4760.	If 122! is divisible by 6^nthen find the maximum value of n.
Answer» 58 62 40 48 Answer :a

Discussion

4761.	An officer's pension on retirement from service is equal to half the average salary during last 36 months of his service. His salary from 1 January 1954 is Rs. 380 per month with increment of Rs. 40 on 1 October 1954, 1 October 1955 and 1 October 1956. If he retires on 1 January , 1957 , what pension does he draw?
Answer» ANSWER :RS. 215

Discussion

4762.	Mr. Oberaiappered in CAT for four consecutive years, but coincidently each time his net score was 75. He told me that there was 1/3 rd negative marking for every wrong answer and 1 mark was alloted for every correct answer. He has attempted all the questions every year, but certainly some answer have been wrong due to stress and conceptual problems. Which is not the total number of questions asked for CAT in any year, in that period?
Answer» 231 163 150 123 Answer :C

Discussion

4763.	Two trains start simultaneously from two tunnels towards each other. The first train covers 8% of the distance between the two tunnels in 3 hours, the second train covered 7/120 of the distance in 2 hours 30 minutes. Find the speed (feet/h) of the second train. If the first train travelled 800 feet to the meeting point:
Answer» ANSWER :35 feet/h

Discussion

4764.	Average of 5 consecutivenumber is 23. Find the largest number
Answer» ANSWER :25

Discussion

4765.	A person bought two bicycles for Rs 1600 and sold the first at 10% profit and the second at 20% profit. If he sold the first at 20% profit and the second at 10% profit, he would get Rs 5 more. The dilference of the cost price of the two bicycles was:
Answer» ANSWER :110 RS

Discussion

4766.	If x,y and z are three distinct positive real numbers such that x+y+z=1 then the value of(1//x-1)(1//y-1)(1//z-1)is:
Answer» 16 8 4 1 Answer :B

Discussion

4767.	There is a pyramid on a base which is a regular hexagon of side 2a. If every slant edge of this pyramid is of length ((5a))/(2)thenthe volumeof this pyramid must be :
Answer» `3a^3` `3a^3 SQRT2` `3a^3 SQRT3` `6 a^3` ANSWER :C

Discussion

4768.	If semiperimeter of a right angle Deltais 126 cm and shortestmedian is 53. Findarea .
Answer» `1560cm^(2)` `1260cm^(2)` `1060cm^(2)` NONE of these Answer :B

Discussion

4769.	If A is in the fourth quadrant and cosA=(5)/(13), find the value of (13sinA+5secA)/(5tanA+6" cosec A"):
Answer» -2/37 -3/27 2/37 can't be determined Answer :A

Discussion

4770.	In the given figure CE_\|_AB,angleACE=20^(@) and angleABD=50^(@). Find the angleBDA:
Answer» `50^(@)` `60^(@)` `70^(@)` `80^(@)` Answer :B

Discussion

4771.	A group of men deaded to do a job in 4 days. But since 20 men dropped out every day, the job completed at the end of the 7th day. How many men were there at the beginning?
Answer» 240 140 280 150 Answer :B

Discussion

4772.	Hutch and Essar entered into a partnership just 5 months ago. The ratio of profit claimed by Hutch and Essar is 6 : 17. If Essar had just started his business 12 months ago with ₹ 1275, what is the amount contributed by Hutch?
Answer» ₹ 980 ₹ 1080 ₹ 1200 ₹ 998 Answer :B

Discussion

4773.	At what rate per annum will a sum of Rs. 5000 amountto Rs. 6000 in 4 years ?
Answer» ANSWER :0.05

Discussion

4774.	The values of the parameter a for which the quadratic equations (1 – 2a) x^2 – 6ax – 1 = 0 and ax^2 – x+1 = 0 have at least one root in common are
Answer» `1/2,2/9` `0,1/2` `2/9` `0,1/2,2/9` ANSWER :C

Discussion

4775.	The ratio of milk and water in a pot is 5:7. If we add 5l milk and 5 l water then ratio becomes 3: 4. Find the initial quantity of milk.
Answer» 5 LITRE 10 litre 25 litre 15 litre Answer :C

Discussion

4776.	There are three runners Tom, Dick and Harry with their respective speeds of 10 km/h, 20 km/h and 30 km/h. They are initially at P and they have to run between the two points P and Q which are 10 km apart from each other. They start their race at 6 am and end at 6 pm on the same day. If they run between P and Q without any break, then how many times they will be together either at P and Q during the given time period?
Answer» 5 7 4 12 Answer :B

Discussion

4777.	Check whether 12478375 is divisible by 13 or not.
Answer» SOLUTION :Step 1: 12478 - 375 = 12103 Step 2: 12 - 103 = - 91

Discussion

4778.	A round balloon of radius 'r' subtends an angle alpha at the eye of the observer, while the angle of elevation of its centre is beta. Find the height of the centre of balloon.
Answer» `R COSEC(alpha/2)sinbeta` `r sinalphacosecbeta` `r/2 sinbeta` `r SEC(alpha/2)` ANSWER :A

Discussion

4779.	Which of the following can divide 99999999 exactly?
Answer» 9 9999 99 Each of (A), (B), and (C) ANSWER :D

Discussion

4780.	A cylinder is circumscribed about a hemisphere and a cone is inscribed in the cylinder so as to have its vertex at the centre of one end and the other end as its base. The volumes of the cylinder, hemisphere and the cone are respectively in the ratio of :
Answer» `3:sqrt3:2` `3:2:1` `1:2:3` `2:3:1` ANSWER :B

Discussion

4781.	The ratio of the ages of the father and the daughter at present is 3:1 four years a go the ratio was 4:1.The average age of the father and daughter 2 years hence will be :
Answer» 24 26 25 36 Solution :Let the PRESENT AGES of the father be 3x and daughter be x so the 4 YEARS a go fathers age and daughter.s age was (3x-4) and (x-4) therefore ((3x-4)/(x-4))=4 x=12 years and 3x=36 years HENCE the present average age of father and daughter =24 years and the average age 2 years hence will be 26 years.

Discussion

4782.	If cos x + cos^(2)x =1, then the value of sin^(12)x + 3 sin^(10)x + 3sin^(8)x + sin^(6)x -1 is:
Answer» 0 3 2 1 Answer :D

Discussion

4783.	How many numbers lie between 11 and 1111 which when divided by 9 leave a remainder of 6 and when divide by 21 leave a remainder of 12 ?
Answer» ANSWER :18

Discussion

4784.	The ratio of heights of two cylinders is 3:2 and the ratio of their radii is 6:7 . What is the ratio of their curvedsurface areas ?
Answer» 9:7 1:1 7:9 7:4 Answer :A

Discussion

4785.	My salary is Rs. 12,345 per month. The salary of my brother is 10% greater than that of mine. The salary of my only sister is 9.09% greater than my only brother. The salary of my wife is 56(12)/(23)% less than the total salary of my brother and sister together, then the salary of my wife is :
Answer» GREATER than my sister's SALARY `33(11)/(23)%` less than my sister's salary equal to my salary `44(11)/(23)%` greater than my own salary Answer :C

Discussion

4786.	Five spheres are kept in a cone in such a way that each sphere touch each other andalso touch the lateral surface of the cone, this is due to increasing radiusof the spheres starting from the vertex of the cone . The radius of the smallest sphere is 16 cm. If the radius of the fifth ( i.e, largest ) sphere be 81 cm, then find the radius of the third ( i.e, middlemost) sphere :
Answer» A. 25 cm B. `25 sqrt(3) cm ` C. `36 cm ` D. data INSUFFICIENT . ANSWER :C

Discussion

4787.	The profit earned after selling on article for 1666 is the same as the loss incurred after selling the article for 1252. What is the cost price of the article ?
Answer» 1452 1458 1549 none of these ANSWER :A

Discussion

4788.	The value of sin""(pi)/(14).sin""(3pi)/(14).sin""(5pi)/(14).sin""(7pi)/(14).sin""(9pi)/(14).sin""(11pi)/(14).sin""(13pi)/(14) is
Answer» a) `(1)/(8)` B) `(1)/(16)` C) `(1)/(32)` d) `(1)/(64)` Answer :D

Discussion

4789.	Six years ago Anita was P times as old as Ben was. If Anita is now 17 years old, how old is Ben now in terms of P ?
Answer» a.P/11 +6 b. 11/P + 6 c. 17/P d. 17 - P/6 Answer :18 CARAT

Discussion

4790.	A quadrilateral ABCD is inscribed in a circle. If AB is parallel to CD and AC = BC, then the quadrilateral must be a
Answer» a. parallelogram B. RHOMBUS c. trapezium d. NONE of these ANSWER :C

Discussion

4791.	The value of (1-1/2)(1-1/3)(1-1/4)(1-1/5)…(1-1/n) is :
Answer» 1 `(1-1/n)^5` `1/n` can't be determined Answer :C

Discussion

4792.	A sphere isplaced inside a right circular cylinder so as to touch the top, base andlateral surface of the cylinder. If the radius of the sphere is r ,then thevolume of the cylinder is4pi\ r^3 (b) 8/3pi\ r^3 (c)2pi\ r^3 (d) 8pi\ r^3
Answer» `2PI R^3` `8pi R^3` `4/3 PI R^3` NONE of these Answer :A

Discussion

4793.	Twodiceare rolledsimultaneously . Find theprobability of getting a doublet .
Answer» `1//12` 0 `5//8` `1//6` ANSWER :D

Discussion

4794.	If Q = (p + q + r )/(2) & (Q-p ) : (Q-q) : (Q -r)::17:5:8. then p :q:r = ?
Answer» `16:19:21` `7:8:5` `14:19:21` `13:25:22` ANSWER :D

Discussion

4795.	The value of ((0.6)^0-(0.1)^-1)/((3/2^3)^-1(3/2)^3+(-1/3)^-1)
Answer» 44230 44257 44230 44295 Answer :A

Discussion

4796.	Rs. 3757 is to be divided between A and B such that A’s share at the end of 7 years may be equal to B’s share at the end of 9 years. If percent be 10% per annum compound interest, B’s share is
Answer» ANSWER :RS. 1700

Discussion

4797.	A train overtakes two girls who are walking in the opposite direction in which the train is going at the rate of 3 km/h and 6 km/h and passes them completely in 36 seconds and 30 seconds respectively.The length of the train(in metres)is:
Answer» 120 m 150 m 125 m none of these Answer :B

Discussion

4798.	sqrt((9^((r + (I)/4)) sqrt(3.3^(-r)))/(3.sqrt(3^(-r)))) = k, then the value of k is
Answer» 3 `3^R` `3^3` `ROOT(r)(3)` ANSWER :B

Discussion

4799.	How many brick ( number near to nexthundred ) will be requiredto build a wall 30 m long , 30 cm thick and 5 m high with a provision of 2 doors , each4 m xx 2.5 mand each brick being20 cm xx 16 cm xx 8 cmwhen one-ninth of the wall is filled with lime ?
Answer» 13500 bricks 13600 bricks 20050 bricks 18500 bricks Answer :B

Discussion

4800.	How many marks did Nigam get in Biology? I. The boat travels at the speed of 4 km/h upstream. II. The boat travels at the speed of 6 km/h downstream.
Answer» If the DATA given in Statement I alone are sufficient to answer the question whereas the data given in Statement II alone are not sufficient to answer the question If the data given in Statement II alone are sufficient to answer the question whereas the data given in Statement alone are not sufficient to answer the question If the data in either Statement I alone or in statement II alone are sufficient to answer the question If the data in both the STATEMENTS I and II are not sufficient to answer the question Answer :A

Discussion

Explore topic-wise InterviewSolutions in .

A policeman sees a chain snatcher at a distance of 50 m. He starts chasing the chain snatcher who is running with a speed of 2m/s while the policeman chasing him with a speed of 4 m/s. Find the distance covered by the chain snatcher when he is caught by the policeman.

Two numbers, when divided by 17, leave remainders 13 and 11 respectively. If the sum of those two numbers is divided by 17, the remainder will be

Let ABCD be a square of side length 2 units. Let C_1 be the incircle and C_2 be the circumcircle of the square ABCD. If P is a point on C_1 and Q is a point on C_2, the value of (PA^2+PB^2+PC^2+PD^2)/(QA^2+QB^2+QC^2+QD^2) is

Solve sqrt(x+5)sqrt(x+21)=sqrt(6x+40.)

2 equal containers have milk and water in the ratio 2: 1 and 3 :1 . Respectively , If both containers are emptied into a biggercontainer, then find the ratio of milk to water in bigger container ?

If 122! is divisible by 6^nthen find the maximum value of n.

Average of 5 consecutivenumber is 23. Find the largest number

A person bought two bicycles for Rs 1600 and sold the first at 10% profit and the second at 20% profit. If he sold the first at 20% profit and the second at 10% profit, he would get Rs 5 more. The dilference of the cost price of the two bicycles was:

If x,y and z are three distinct positive real numbers such that x+y+z=1 then the value of(1//x-1)(1//y-1)(1//z-1)is:

There is a pyramid on a base which is a regular hexagon of side 2a. If every slant edge of this pyramid is of length ((5a))/(2)thenthe volumeof this pyramid must be :

If semiperimeter of a right angle Deltais 126 cm and shortestmedian is 53. Findarea .

If A is in the fourth quadrant and cosA=(5)/(13), find the value of (13sinA+5secA)/(5tanA+6" cosec A"):

In the given figure CE_|_AB,angleACE=20^(@) and angleABD=50^(@). Find the angleBDA:

A group of men deaded to do a job in 4 days. But since 20 men dropped out every day, the job completed at the end of the 7th day. How many men were there at the beginning?

Hutch and Essar entered into a partnership just 5 months ago. The ratio of profit claimed by Hutch and Essar is 6 : 17. If Essar had just started his business 12 months ago with ₹ 1275, what is the amount contributed by Hutch?

At what rate per annum will a sum of Rs. 5000 amountto Rs. 6000 in 4 years ?

The values of the parameter a for which the quadratic equations (1 – 2a) x^2 – 6ax – 1 = 0 and ax^2 – x+1 = 0 have at least one root in common are

The ratio of milk and water in a pot is 5:7. If we add 5l milk and 5 l water then ratio becomes 3: 4. Find the initial quantity of milk.

Check whether 12478375 is divisible by 13 or not.

A round balloon of radius 'r' subtends an angle alpha at the eye of the observer, while the angle of elevation of its centre is beta. Find the height of the centre of balloon.

Which of the following can divide 99999999 exactly?

A cylinder is circumscribed about a hemisphere and a cone is inscribed in the cylinder so as to have its vertex at the centre of one end and the other end as its base. The volumes of the cylinder, hemisphere and the cone are respectively in the ratio of :

The ratio of the ages of the father and the daughter at present is 3:1 four years a go the ratio was 4:1.The average age of the father and daughter 2 years hence will be :

If cos x + cos^(2)x =1, then the value of sin^(12)x + 3 sin^(10)x + 3sin^(8)x + sin^(6)x -1 is:

How many numbers lie between 11 and 1111 which when divided by 9 leave a remainder of 6 and when divide by 21 leave a remainder of 12 ?

The ratio of heights of two cylinders is 3:2 and the ratio of their radii is 6:7 . What is the ratio of their curvedsurface areas ?

My salary is Rs. 12,345 per month. The salary of my brother is 10% greater than that of mine. The salary of my only sister is 9.09% greater than my only brother. The salary of my wife is 56(12)/(23)% less than the total salary of my brother and sister together, then the salary of my wife is :

The profit earned after selling on article for 1666 is the same as the loss incurred after selling the article for 1252. What is the cost price of the article ?

The value of sin""(pi)/(14).sin""(3pi)/(14).sin""(5pi)/(14).sin""(7pi)/(14).sin""(9pi)/(14).sin""(11pi)/(14).sin""(13pi)/(14) is

Six years ago Anita was P times as old as Ben was. If Anita is now 17 years old, how old is Ben now in terms of P ?

A quadrilateral ABCD is inscribed in a circle. If AB is parallel to CD and AC = BC, then the quadrilateral must be a

The value of (1-1/2)(1-1/3)(1-1/4)(1-1/5)…(1-1/n) is :

A sphere isplaced inside a right circular cylinder so as to touch the top, base andlateral surface of the cylinder. If the radius of the sphere is r ,then thevolume of the cylinder is4pi\ r^3 (b) 8/3pi\ r^3 (c)2pi\ r^3 (d) 8pi\ r^3

Twodiceare rolledsimultaneously . Find theprobability of getting a doublet .

If Q = (p + q + r )/(2) & (Q-p ) : (Q-q) : (Q -r)::17:5:8. then p :q:r = ?

The value of ((0.6)^0-(0.1)^-1)/((3/2^3)^-1(3/2)^3+(-1/3)^-1)

Rs. 3757 is to be divided between A and B such that A’s share at the end of 7 years may be equal to B’s share at the end of 9 years. If percent be 10% per annum compound interest, B’s share is

A train overtakes two girls who are walking in the opposite direction in which the train is going at the rate of 3 km/h and 6 km/h and passes them completely in 36 seconds and 30 seconds respectively.The length of the train(in metres)is:

sqrt((9^((r + (I)/4)) sqrt(3.3^(-r)))/(3.sqrt(3^(-r)))) = k, then the value of k is

How many brick ( number near to nexthundred ) will be requiredto build a wall 30 m long , 30 cm thick and 5 m high with a provision of 2 doors , each4 m xx 2.5 mand each brick being20 cm xx 16 cm xx 8 cmwhen one-ninth of the wall is filled with lime ?

How many marks did Nigam get in Biology? I. The boat travels at the speed of 4 km/h upstream. II. The boat travels at the speed of 6 km/h downstream.