8677 + Interview Questions in Maths in Class 14 Page 95 InterviewSolution

4701.	A(x, y, z)=" min. "(x+y, y+z, z+x) B(x, y, z)="max "(x-y, y-z, z-x) C(x, y, z)=" max"(A(x, y, z), B(x, y, z)) D(x, y, z)=" min "(A(x, y, z), B(x, y, z)) The value of C(1, 2, 3) is :
Answer» 1 2 3 4 Answer :C

Discussion

4702.	A sum of money becomes 4 times of itself in 6 years at C.I. In how many years will it become 8 times.
Answer» ANSWER :9 YEARS

Discussion

4703.	How many words can be formed by using 4 letters at a time out of the letters of the word MATHEMATICS?
Answer» 2445 2454 1243 1454 Answer :B

Discussion

4704.	Two cars started simultaneously towards each other from town A and B that are 480 km apart. It took the first car travelling from A to B 8 hours to cover the distance and the second car travelling from B to A 12 hours. Determine at what distance from A the two cars meet?
Answer» 288 km 200 km 300 km 196 km Answer :A

Discussion

4705.	The relation p/(P+1) gt 1 is valid when :
Answer» `p GE -1` `p gt -1` `p LT -1` `-1 lt p lt 0` ANSWER :C

Discussion

4706.	A person bought some caps at rate of 27 for Rs 102 and sold them at the rate of 8 for Rs 34. Find the profit or loss %.
Answer» ANSWER :12.5% PROFIT

Discussion

4707.	A trader gives two successive discounts of 15% and 10% on the marked price of an article. If the selling price is Rs. 765, the marked price is
Answer» RS. 850 Rs. 1000 Rs. 800 Rs. 900 Answer :B

Discussion

4708.	In the figure ,find the value of x.
Answer» `60^(@)` `100^(@)` `120^(@)` `150^(@)` Answer :C

Discussion

4709.	The speeds of rickshaw, car and scooter are in the ratio of 3:5:6. What is the ratio of time taken by each one of them for the same distance?
Answer» 0.25350694444444 0.4208912037037 0.50493055555556 Data insufficient Answer :B

Discussion

4710.	Find the remainder in expression– (1! + 2! + 3! + ……. 100 !)/(5)
Answer» 1 2 3 4 Answer :C

Discussion

4711.	If 5^(x) = (0.5)^(y) = 1000, then the value of (1/x - 1/y) is:
Answer» `1/4` `1/3` `1/2` 1 Answer :B

Discussion

4712.	Ramu purchased a second hand Swiss watch which is very costly. In this watch the minute-hand and hour hand coincide after every 65 3/11 minutes. How much time does the watch lose or gain per day?
Answer» 4 MIN 5 min 4 min, 20 sec none of these Answer :A

Discussion

4713.	If (x - y) is 6 more than (w + 2) and (x + y) is 3 less than (w - z), then (x-w) is
Answer» a) 0.5 b) 1 C) 1.5 d) 2 Answer :C

Discussion

4714.	If S.P. of a book is 5 times to the discount offered and discount % is equal to the profit % then find ratio of discount offered to C.P.?
Answer» ANSWER :`7:30`

Discussion

4715.	In two vessels, A and B, there is mixture of milk and water, The ratio of milk and water in these vessels is 5:2 and 8:5 respectively. In water ratio these mixture be mixed togather so that the ratio of milk and water in the new mixture becomes 9:4 ?
Answer» `7:2` `2:7` `3:5` `5:3` Solution :Milk in 1 LITRE of `A =(5)/(7)` litre Milk in 1 litre of `B =(8)/(13)` litre Milk in 1 litre of MIXTURE `=(9)/(13)` litre `THEREFORE` Requried ratio ` =(1)/(13):(2)/(91)=7:2`

Discussion

4716.	What is the population of state A in year1999? I. The population of state A is 1,20,000 in 1997 and it increases 20% every year II. Population of state A is double the population of state B in 1997
Answer» If the Statement I alone is SUFFICIENT to answer the question but the statement I alone is not sufficient If the Statement II alone is sufficient to answer the question but the statement alone is not sufficient If both STATEMENTS I and II together are needed to answer the question If either the statement I alone or Statement II alone is sufficient to answer the question Answer :A

Discussion

4717.	1!+2!+3!+4!+ ----100! divided by 5 . find Remainder .
Answer» ANSWER :`=3`REMAINDER

Discussion

4718.	In a500 mrace , a givesb astartof 6 andbeatby 20m.inanotherof 500m ,beatsb by8 (1)/(7) s . Findtheirspeeds
Answer» a's SPEED= 11 m/sb,s speed= 10 m/s A'sspeed= 1m/s ,B'sspeed= 9.33m/s A.s speed ANSWER :B

Discussion

4719.	Arya, Bran, Cersei, Daenerys, Petyr and Tyrion are seated in six chairs placed in a row. Maximum how many seating arrangements are possible if Arya must sit next to Bran, but Petyr cannot sit next to Tyrion?
Answer» 98 196 144 256 Answer :C

Discussion

4720.	A cone of height 2.8 cm has a lateral surface area 23.10 cm^2. The radius of the base is :
Answer» 3.5 cm 2 cm 2.1 cm 4 cm Answer :C

Discussion

4721.	Five numbers a,b,c,d and e are in the ratio of 2:3:5:8:9 and their sum is 162. Find the average of all these numbers:
Answer» 27 30 32.4 can't be determined Answer :C

Discussion

4722.	If f(x)=2x^(2)+7x-9 and g(x)=2x+3, then find the vlaue of g(g(x)) at x=2
Answer» 92 39 29 none of these Answer :C

Discussion

4723.	A trader sells goods to a customer at a profit of k% over the cost price, besides it he cheats his customer by giving 880 g only instead of 1 kg. Thus, his overall profit percentage is 25%. Find the value of k?
Answer» `8.33%` `8.25%` `10%` `12.5%` ANSWER :C

Discussion

4724.	The remainder when 8^(1785) is divided by 7 is :
Answer» 5 1 6 can't be determined Answer :B

Discussion

4725.	Find the compound interest on Rs. 2000 at 12% per annum for 9 months compounded quarterly
Answer» (a)RS 185.454 (b)Rs 185 (c)Rs 190 (d)Rs 180 Answer :Rs. 185.45

Discussion

4726.	An article was sold at 12% profit. Had it purchased at 10% less and sold at Rs 5.75 more there would have been profit of 30%. Find C.P. of article?
Answer» ANSWER :115Rs

Discussion

4727.	Two chords of a circle, of lengths 2a and 2b are mutually perpendicular. If the distance of the point, at which the chords interect, from the centre of the circle is c (c lt radius of the circle), then the radius of the circle is :
Answer» `sqrt((a^(2) + B^(2) + C^(2))/(2))` `(sqrt(AB))/(c)` a + b - c `(sqrt(a^(2) + b^(2) - c^(2)))/(2)` ANSWER :A

Discussion

4728.	A person goes from one point to another point with a speed of 5km/h and comes back to starting point with a speed of 3 km/h. Find the average speed for the whole journey.
Answer» 4.5 km/h 4 km/h 4.25 km/h 3.75 km/h Answer :D

Discussion

4729.	The sum of two numbers, when multiplied with each of the numbers separately, then the results of the above multiplications are 2418 and 3666, respectively. Find the difference between the numbers.
Answer» 16 21 19 23 Answer :A

Discussion

4730.	The ratio of milk and water in a mixture is 7 : 5. We withdraw 9 ltmixture and added same quantity of water to the mixture, then ratio becomes 7 : 9. Find the initial quantity of milk.
Answer» 22 lt 17 lt 19 lt 21 lt Answer :C

Discussion

4731.	The ratio of milk and water in a mixture is 7 : 5. We withdraw 9 ltmixture and added same quantity of water to the mixture, then ratio becomes 1 : 1. Find the initial quantity of milk.
Answer» `36.75` LT `22.15` lt `17.50 `lt `21.35` lt Answer :A::C

Discussion

4732.	A has 8 pencils, B has 10 pencils and C has 15 pencils , then the average number of pencils with them :
Answer» 8 10 15 Lies between 9 and 15 Solution :AVERAGE NUMBER of PENCILS=(8+10+15)/3=11

Discussion

4733.	The radius of a circle is 20 cm. The radii (in cm) of three concentric circles drawn in such a manner that the whole area is divided into four equal parts, are :
Answer» `20sqrt2,20sqrt3,20` `(10sqrt3)/3`, (10sqrt2)/3, 10/3` `10sqrt3, 10sqrt2, 10` 17, 14, 9 Answer :C

Discussion

4734.	Arjun and sri - krishna go by chariot from mathura to kurukshetra which is on the way to hastinapur. Abhimanyu goes from hastinapur to kurukshetra The distance between mathura to hastinapur is 700km and the distance between hastinapur and kurukshetra is 300km. speed of Arjun and Srikrishna's chariot is 25 km/h and speed of abhimanyu is 10 km/h. all the three persons starts their journey at 10am. after travelling some miles shrikrishna sees duryodhan going ( by riding on his horse) at 20 km/h to Kurukshetra. Arjun and Srikrshna go ahead meet Abhimanyu and pick him up. then they return immediately to kurukshetra and thus all the four reach at the same time What is the total distance travelled by Arjun?
Answer» 10 h 15 h 18 h 24 h Answer :D

Discussion

4735.	Find the sum of the series (5)/(13)+(55)/(13)^2+(555)/(13)^2+(5555)/((13)^4)…………..up to prop.
Answer» 55/39 65/39 110/169 65/36 Answer :D

Discussion

4736.	ABCD is a rectangle where ratio of the length of AB and BC is 3 : 2. IfP is the mid point of AB . Find sin angle CPB
Answer» ANSWER :`(4)/(5)`

Discussion

4737.	The value of (1/((1 + tan^2 theta)) + 1/((1 + cot^2 theta))) is
Answer» 1 2 `1/2` `1/4` ANSWER :A

Discussion

4738.	Study the following graph carefully and answer the questions given below The total number of all the three types of tyres manufactured was the least in which of the following years?
Answer» 2009 2010 2006 2008 Answer :B

Discussion

4739.	A rectangle has 20 cm as its length and 200 sq cm as its area. If the area is increased by 1(1/5) times the original area by increasing its length only then the perimeter of the rectangle so formed (in cm) is
Answer» a. 72 b. 60 c. 64 d. 68 Answer :D

Discussion

4740.	Study the following graph carefully and answer the questions that follow If carpenter X and carpenter Y wereto makea chair together, thenhow manydays wouldthey take ?
Answer» 1 day 2 days None of the above 2 days Answer :C

Discussion

4741.	Each of A, B, C and D need a umique time to do a certain work. A can do the work in x days and B can do the work in 2x days. A started the work and do it for 22 2/9 days then he is replaced by B and B completed remaining work in same time as C and D together can complete the whole work. The ratio of the efficiency of C and D is 4: 5. If C and D work for alternative days starting form C then they can do the total work in 44 1/2 days.
Answer» 66(2/3) 33(1/3) 16(2/3) 14(2/7) Solution :Let E do work in 4x days Let F do work in 5x days ` 24/(5x) + 24 /(4x) + 20 /(100/3) + 20/(200/3) = 1` ` 24 = (9)/(20x) +( 60)/(100) +( 60)/(200) + 1` `(24xx9)/(20x)= 1/10` `x = 108` Together E and F can do work in `= (4xx108 xx 5 xx108)/(9xx 108)` `= 240` days Required difference `= 240/(4xx108 )-240 (5xx 108)` `240/108 xx1/20 = 1/9`

Discussion

4742.	Find minimum value of 25tan^(2)theta+4cot^(2)theta.
Answer» ANSWER :20

Discussion

4743.	State (a) if the fractions are in ascending order state (b) if the fractions are in descending order 3/5 , 7/9 , 13/8
Answer» ANSWER :(i) b, (II) a, (iii) C, (IV) c

Discussion

4744.	There were two candidates in an election. One got 55% of total valid votes and 20% of votes were invalid. If the total votes are 5500. How many valid votes did the other person get
Answer» ANSWER :1980

Discussion

4745.	If a quardilateral (ABCD)is circumscribed of a circleand ∠BOC is 125 then find ∠AOD
Answer» ANSWER :`8 . 4 X CM `

Discussion

4746.	If a sectheta+b tantheta=1anda^(2)sec^(2)theta-b^(2)tan^(2)theta=5, then a^(2)b^(2)+4a^(2) is equal to
Answer» `a^(2)-B^(2)` `a^(2)+b^(2)` `b^(2)-a^(2)` `2AB` ANSWER :A::B

Discussion

4747.	A man takes a step forward with probability 0.4 and back ward with probability 0.6. The probability that at the end of eleven steps he is one step away from the starting point is:
Answer» `3696/7^4` `3969/4^7` `4^4/10` NONE of these Answer :B

Discussion

4748.	A drives his car at 360 m/s. Moving ahead for some hours his car breaks down. So he takes 20 seconds to fix it. Mean while he notices that another car which was 400 m back is now 200m ahead of his car. What is the speed of the car?
Answer» 100 km/h 92 km/h 108 km/h 300 km/h Answer :C

Discussion

4749.	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 last two novels of the series are never kept together, find the number of ways in which he can arrange all the novels
Answer» 345 210 240 360 Answer :C

Discussion

4750.	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 never wants to keep the last two novels of the series (F,G) in his bookshelf, find the number of ways in which he can arrange 4 novels.
Answer» 360 240 256 120 Answer :D

Discussion

Explore topic-wise InterviewSolutions in .

A(x, y, z)=" min. "(x+y, y+z, z+x) B(x, y, z)="max "(x-y, y-z, z-x) C(x, y, z)=" max"(A(x, y, z), B(x, y, z)) D(x, y, z)=" min "(A(x, y, z), B(x, y, z)) The value of C(1, 2, 3) is :

A sum of money becomes 4 times of itself in 6 years at C.I. In how many years will it become 8 times.

How many words can be formed by using 4 letters at a time out of the letters of the word MATHEMATICS?

Two cars started simultaneously towards each other from town A and B that are 480 km apart. It took the first car travelling from A to B 8 hours to cover the distance and the second car travelling from B to A 12 hours. Determine at what distance from A the two cars meet?

The relation p/(P+1) gt 1 is valid when :

A person bought some caps at rate of 27 for Rs 102 and sold them at the rate of 8 for Rs 34. Find the profit or loss %.

A trader gives two successive discounts of 15% and 10% on the marked price of an article. If the selling price is Rs. 765, the marked price is

In the figure ,find the value of x.

The speeds of rickshaw, car and scooter are in the ratio of 3:5:6. What is the ratio of time taken by each one of them for the same distance?

Find the remainder in expression– (1! + 2! + 3! + ……. 100 !)/(5)

If 5^(x) = (0.5)^(y) = 1000, then the value of (1/x - 1/y) is:

Ramu purchased a second hand Swiss watch which is very costly. In this watch the minute-hand and hour hand coincide after every 65 3/11 minutes. How much time does the watch lose or gain per day?

If (x - y) is 6 more than (w + 2) and (x + y) is 3 less than (w - z), then (x-w) is

If S.P. of a book is 5 times to the discount offered and discount % is equal to the profit % then find ratio of discount offered to C.P.?

In two vessels, A and B, there is mixture of milk and water, The ratio of milk and water in these vessels is 5:2 and 8:5 respectively. In water ratio these mixture be mixed togather so that the ratio of milk and water in the new mixture becomes 9:4 ?

What is the population of state A in year1999? I. The population of state A is 1,20,000 in 1997 and it increases 20% every year II. Population of state A is double the population of state B in 1997

1!+2!+3!+4!+ ----100! divided by 5 . find Remainder .

In a500 mrace , a givesb astartof 6 andbeatby 20m.inanotherof 500m ,beatsb by8 (1)/(7) s . Findtheirspeeds

Arya, Bran, Cersei, Daenerys, Petyr and Tyrion are seated in six chairs placed in a row. Maximum how many seating arrangements are possible if Arya must sit next to Bran, but Petyr cannot sit next to Tyrion?

A cone of height 2.8 cm has a lateral surface area 23.10 cm^2. The radius of the base is :

Five numbers a,b,c,d and e are in the ratio of 2:3:5:8:9 and their sum is 162. Find the average of all these numbers:

If f(x)=2x^(2)+7x-9 and g(x)=2x+3, then find the vlaue of g(g(x)) at x=2

A trader sells goods to a customer at a profit of k% over the cost price, besides it he cheats his customer by giving 880 g only instead of 1 kg. Thus, his overall profit percentage is 25%. Find the value of k?

The remainder when 8^(1785) is divided by 7 is :

Find the compound interest on Rs. 2000 at 12% per annum for 9 months compounded quarterly

An article was sold at 12% profit. Had it purchased at 10% less and sold at Rs 5.75 more there would have been profit of 30%. Find C.P. of article?

Two chords of a circle, of lengths 2a and 2b are mutually perpendicular. If the distance of the point, at which the chords interect, from the centre of the circle is c (c lt radius of the circle), then the radius of the circle is :

A person goes from one point to another point with a speed of 5km/h and comes back to starting point with a speed of 3 km/h. Find the average speed for the whole journey.

The sum of two numbers, when multiplied with each of the numbers separately, then the results of the above multiplications are 2418 and 3666, respectively. Find the difference between the numbers.

The ratio of milk and water in a mixture is 7 : 5. We withdraw 9 ltmixture and added same quantity of water to the mixture, then ratio becomes 7 : 9. Find the initial quantity of milk.

The ratio of milk and water in a mixture is 7 : 5. We withdraw 9 ltmixture and added same quantity of water to the mixture, then ratio becomes 1 : 1. Find the initial quantity of milk.

A has 8 pencils, B has 10 pencils and C has 15 pencils , then the average number of pencils with them :

The radius of a circle is 20 cm. The radii (in cm) of three concentric circles drawn in such a manner that the whole area is divided into four equal parts, are :

Find the sum of the series (5)/(13)+(55)/(13)^2+(555)/(13)^2+(5555)/((13)^4)…………..up to prop.

ABCD is a rectangle where ratio of the length of AB and BC is 3 : 2. IfP is the mid point of AB . Find sin angle CPB

The value of (1/((1 + tan^2 theta)) + 1/((1 + cot^2 theta))) is

Study the following graph carefully and answer the questions given below The total number of all the three types of tyres manufactured was the least in which of the following years?

A rectangle has 20 cm as its length and 200 sq cm as its area. If the area is increased by 1(1/5) times the original area by increasing its length only then the perimeter of the rectangle so formed (in cm) is

Study the following graph carefully and answer the questions that follow If carpenter X and carpenter Y wereto makea chair together, thenhow manydays wouldthey take ?

Find minimum value of 25tan^(2)theta+4cot^(2)theta.

State (a) if the fractions are in ascending order state (b) if the fractions are in descending order 3/5 , 7/9 , 13/8

There were two candidates in an election. One got 55% of total valid votes and 20% of votes were invalid. If the total votes are 5500. How many valid votes did the other person get

If a quardilateral (ABCD)is circumscribed of a circleand ∠BOC is 125 then find ∠AOD

If a sectheta+b tantheta=1anda^(2)sec^(2)theta-b^(2)tan^(2)theta=5, then a^(2)b^(2)+4a^(2) is equal to

A man takes a step forward with probability 0.4 and back ward with probability 0.6. The probability that at the end of eleven steps he is one step away from the starting point is:

A drives his car at 360 m/s. Moving ahead for some hours his car breaks down. So he takes 20 seconds to fix it. Mean while he notices that another car which was 400 m back is now 200m ahead of his car. What is the speed of the car?