8677 + Interview Questions in Maths in Class 14 Page 126 InterviewSolution

6251.	There are two quadratic equations. Solve these equations and find the relation between p and q.-p^2+14p-45=0 2q^2-28q+90=0
Answer» `pltq` `pgtq` `pleq` connotbe determined Answer :D

Discussion

6252.	2508 + 15.02 + ? xx 11 = 200
Answer» a. 13 b. 8 C. 3 d. 4 Answer :C

Discussion

6253.	A, B and C can complete a piece of-work in 15, 30 and 40 days respectively. They started the work together and A left 2 days before the completion of the work and B left 4 days before the completion of the work. In how many days was the work completed?
Answer» `7 3/10` `10 2/15` `10 7/30` NONE of these Answer :B

Discussion

6254.	How many zeroes are three between the decimal point and the first significant figure in (0.5)^(100)? Given, that log 1/2 = bar1.6990
Answer» ANSWER :30

Discussion

6255.	6 boys and 8 women finish a job in 6 days and 14 boys and 10 women finish the same job in 4 days. In how many days working together 1 boy and 1 woman can finish the work?
Answer» ANSWER :`44(4)/(7)" DAYS"`

Discussion

6256.	If the cost price of an article is Rs. 300 and the percent markup is 20% . What is the marked price?
Answer» SOLUTION :MP=CP+ `%` MARKUP on CP= `300+300XX20/100` mp=₹ 360

Discussion

6257.	Two tangents drawn at the points A and B of a circle centred at O meet at P. If angleAOB = 120^(@) then angleAPB : angleAPOis
Answer» `2 : 5` `3 : 2` `4 : 1` `2 : 1` ANSWER :D

Discussion

6258.	The set S_1 = {1}, S_2 = {3,5}, S_3 = {7,9,11} , etc. forms a sequence. Sum of all the elements of S_(10) is:
Answer» 55 300 3375 none of these ANSWER :D

Discussion

6259.	A company offers 20% discount and earns profit of 25% . Further it increases production cost by 10% and issues new price list which is 25% more than the previous one . If company offers same discount as earlier then what will be its profit % at increased production cost.
Answer» ANSWER :0.42

Discussion

6260.	Study the following graph carefully and answer the questions that follow Which of the following statements is truewith respect to the above graph ?
Answer» COMPANY M madethe highest profit in the YEAR 2009 CompanyL MADE the leastprofit in the year 2005 The ratio of the PROFITS earnedby company L and companyM in the year 2006 was `6:5` Company L made the highest profit in the year2008 Answer :A

Discussion

6261.	If area of a square is 64 sq cm, then find the area ofthe circle formed by the same perimeter.
Answer» `215/pi SQ CM` `216/pi sq cm` `256/pi sq cm` `318/pi sq cm` ANSWER :C

Discussion

6262.	The number of zeros at end of the product of 222^(111) xx 35^(53) + (7!)^(6!) xx (10!)^(5!) + 42^(42) xx 25^(25) is :
Answer» 42 53 1055 none of these Answer :A

Discussion

6263.	Find the total number of terms in (1+x+x^2)^3.
Answer» Solution :`(1+x)^2=1+x^2+2x` `(1+x)^3=1+3x+3x^2+x^3` `(1+x)^4=1+4x+6x^2+4x^3+x^4` `(1+x+x^2)^2=1+2x+3x^2+2x^3+x^4` `(1+x+x^2)^3=1+3x+6x^2+7x^3+6x^4+3x^5+x^6` This shows that total NUMBER of TERMS in `(1+x+x^2+….x^n)^m=(m.n)+1`

Discussion

6264.	If 5 persons weave 180 shawls in 12 days, How many shawls will 6 persons weave in 15 days?
Answer» 260 370 270 360 Answer :C

Discussion

6265.	Which of the following relations is NOT always true?
Answer» `abs(p+q) LE absp + absq` `abs(p-q) le absp - absq` `absp - absq GT 0`, if `p^2 - q^2 gt 0` `abs(p-q)^2 = (p-q)^2` Answer :B

Discussion

6266.	If in a triangle ABC, BE and CF are two medians perpendicular to each other and if AB=19 cm and AC=22 cm then the length of BC is
Answer» ANSWER :13

Discussion

6267.	At r% per annum a sum become 2 times after 20 years. The rate of interest per annum is :
Answer» `4%` `5%` `8%` `10%` ANSWER :B

Discussion

6268.	If a four digit number is formed by repeating a two digit number two times (e.g. 2525), then that number will be divisible by :
Answer» 1001 101 10001 10101 Answer :B

Discussion

6269.	If alpha and beta are the roots of the equation x^(2)-x-4=0, find the value of (1)/(alpha)+(1)/(bta)-alpha beta:
Answer» `16/7` `8/5` `15/4` NONE ANSWER :C

Discussion

6270.	A square is drawn by joining the mid points of the sides of a given square. A third square is drawn inside the second square in the same way and this process continues indefinitely. If a side of the first square is 4 cm, determine the sum of the areas of all the squares :
Answer» `32cm^2` `16cm^2` 20 none Answer :A

Discussion

6271.	Mr. tyagi while going from merrut to saharanpur covered half the distance by train at the speed of 96km/hr then the covered half of the rest distance by his scooter at the speed of 60 km/hr and finally he covered the rest distance at the speed of 40 km/hr by car. The average speed at which Mr, tyagi completed his journey is :
Answer» 64 km/hr 56 km/hr 60 km/hr 36 km/hr Answer :A

Discussion

6272.	For any odd prime number p there exists a positive integer k where 1 < k < p, such that the remainder of (k^2)/p is 1. Then the number of positive integers k is :
Answer» 0 1 p-1 can't be determined Answer :B

Discussion

6273.	If (x-y+z):(y-z+2w):(2x+z-w)=3:4:7, then (2x+2z-2w):w=?
Answer» `7:1` `4:3` `4:1` `8:1` ANSWER :C

Discussion

6274.	A survey shows that 41%, 35% and 60% of the people watch “A”, “B” and “C” respectively. 27% people watch exactly two of the three movies and 3% watch none. What percentage of people watch all the three movies?
Answer» `40%` `6%` `9%` `12%` Answer :B

Discussion

6275.	An engine can move at the speed of 20/3 m/s without any wagon attached and reduction in the speed of the train is directly proportional to the square root of the number of wagons attached to the engine. When there are 9 wagons attached its speed is 5 m/s. The greatest number of wagons with which the engine can move is :
Answer» 144 12 143 24 Answer :C

Discussion

6276.	A runs 132times as fast as B. If A gives B a start of 80 m, how far must the winning post be so that A and B might reach it at the same time?
Answer» a. 200 b. 300m c. 270 m d. 160 m Answer :D

Discussion

6277.	log_(10)a^p.b^q.c^r=?
Answer» a) `pqr(log_(10)abc)` b) `plog_(10)a+qlog_(10)b+rlog_(10)C` c) `pqr(log_(10)a+log_(10)b+log_(10)c)` d) `(log_(10)a)^p+(log_(10)b)^Q+(log_(10)c)^r` ANSWER :B

Discussion

6278.	600 students took a mock exam in Delhi. 55% of the boys and 75% of the girls cleared the cut off in theexamination. If the total percentage of students qualifying is 63%. Find the number of boys and girls appeared in the examination.
Answer» ANSWER :BOYS= 360 , GIRLS = 240

Discussion

6279.	If LCMof two numbers is twiceof bigger number and difference of HCF and smaller number is 4 Find smaller number .
Answer» ANSWER :`=8`

Discussion

6280.	If cos2B=(cos(A+C))/(cos(A-C)), then tan A, tan B, tan C are in
Answer» A.P. GP. H.P. NONE of these Answer :B

Discussion

6281.	A businessman sells a commodity at 10% profit. If he had bought it at 10% less and sold it for Rs. 2 less, then he would have gained 16(2)/(3)%. The cost price of the commodity is
Answer» ANSWER :RS. 40

Discussion

6282.	Find the co-ordinates of the point which divides the join of the point (2,3) and (6,8) externally in the ratio 4:3.
Answer» a. (15,16) B. (18,23) C. (3,8) d. (2,7) ANSWER :B

Discussion

6283.	A retailer bought 20 kg tea at a discount of 10%. Besides 1 kg tea was freely offered to him by the wholesaler at the purchase of 20 kg tea. Now, he sells all the tea at the marked price to a customer. What is profit percentage of retailer?
Answer» `30%` `12%` `16.66%` NONE of these Answer :C

Discussion

6284.	Two men, B and C run around a circular track of length 500m in opposite directions with initial speeds of 4m/s and 1m/s respectively starting from the same point simultaneously. Whenever they meet, Ben’s speed halfs and Carl’s speed doubles, after how much time will they meet for the 3rd time?
Answer» ANSWER :D

Discussion

6285.	Expression 4x^(2) - 16x + 17 will be minimum when x= ?
Answer» ANSWER :2

Discussion

6286.	If (x)/(a)=(y)/(b)=(z)/(c) then xy+yz+zx is equal to :
Answer» `(a+B+c)^2//x^2+y^2+z^2` `x^2(a+b+c)^2-a^2(x^2+y^2+z^2)//2a^2` `ax+by+cz//(a+b+c)^2` NONE of these Answer :B

Discussion

6287.	A boat running upstream covers a distance of 10 km in 30 min and while running downstream, it covers the same distance in 25 min. What is the speed of the river current (in km/h)?
Answer» a. 20 b. `2.2` C. `2` d. Couldn't be determined Answer :C

Discussion

6288.	A does half as much work as B and C does half as much work as A and B together. If C alone can finish the work in 40 days, then all together will finish the work in?
Answer» ANSWER :`13 (1)/3`DAY

Discussion

6289.	(143^(321))/(5)find R.
Answer» ANSWER :`=3`

Discussion

6290.	A does half as much work as B in three-fourth of the time. If together they take 18 days to complete a work, how much time shall B take to do it alone ?
Answer» ANSWER :30 DAYS

Discussion

6291.	Threecriticsreviewa bookoddsin favourof thebookare 5 :2,4:3and3 :4respectivelyfor thecriticsfindthe probabilitythatmajorityare infavourof thebook
Answer» `108/343` `209/343` `1/7` `1/243` ANSWER :B

Discussion

6292.	If 20% of the persons who drive Bajaj's bike also drive another bike. What is the number of people who drive only Bajaj' bike?
Answer» 2400 2500 2660 none of these Answer :A

Discussion

6293.	Speed of boat in still water is 12 km/h and speed of stream is 4 km/h. The boat takes total 6 hours to go and comes back. Find the length of river.
Answer» SOLUTION :N/A

Discussion

6294.	Value of ? In expression 7^(8.9)/(343)^(1.7)xx(49)^(4.8)=7^(?) is
Answer» a. 13.4 b. 12.8 c. 11.4 d. 9.6 Answer :A

Discussion

6295.	There are twoconcentric hexagons. Each of the side of both the hexagons are parallel . Each side of an internal regular hexagon is 8 cm . What is the area of the shaded region , if the distance between corresponding parallel sides is 2sqrt(3) cm :
Answer» `120sqrt(3) cm^2` `148 SQRT(3) cm^(2) ` `126 cm^(2) ` NONE of the above Answer :A

Discussion

6296.	If the areasof three adjacent faces of a cuboid are x ,\ y ,\ zrespectively,then the volume of the cuboid isx y z(b) 2x y z(c) sqrt(x y z)(d) 3sqrt(x y z)
Answer» XYZ `sqrtxyz` 3xyz none of these Answer :B

Discussion

6297.	Mr. stenley employed a certain number of typist for his project. 8 days later 20% of the typist left the job and it was found that it took as much time to complete the rest work from then as the entire work needed with all the employed typists. The average speed of a typist is 20 pages/hour. Minimum how many typist could be employed?
Answer» a. 10 b. 5 c. 16 d. can't be determined Answer :D

Discussion

6298.	Ifa-(1)/(a) = 3 , " then " a^6 + (1)/(a^6) is equal to :
Answer» 729 996 1331 1298 Answer :D

Discussion

6299.	One shopkeeper calculates his profit at C.P. and second at S.P. both gains profit of 20%. If S.P. of both is same and differences of both the profit is Rs 85 then find the S.P. ?
Answer» ANSWER :RS. 2550

Discussion

6300.	30 men can repair a road in 18 days. They are joined by 6 more workers. Now the road can be repaired in
Answer» ANSWER :15 DAYS

Discussion

Explore topic-wise InterviewSolutions in .

There are two quadratic equations. Solve these equations and find the relation between p and q.-p^2+14p-45=0 2q^2-28q+90=0

2508 + 15.02 + ? xx 11 = 200

A, B and C can complete a piece of-work in 15, 30 and 40 days respectively. They started the work together and A left 2 days before the completion of the work and B left 4 days before the completion of the work. In how many days was the work completed?

How many zeroes are three between the decimal point and the first significant figure in (0.5)^(100)? Given, that log 1/2 = bar1.6990

6 boys and 8 women finish a job in 6 days and 14 boys and 10 women finish the same job in 4 days. In how many days working together 1 boy and 1 woman can finish the work?

If the cost price of an article is Rs. 300 and the percent markup is 20% . What is the marked price?

Two tangents drawn at the points A and B of a circle centred at O meet at P. If angleAOB = 120^(@) then angleAPB : angleAPOis

The set S_1 = {1}, S_2 = {3,5}, S_3 = {7,9,11} , etc. forms a sequence. Sum of all the elements of S_(10) is:

A company offers 20% discount and earns profit of 25% . Further it increases production cost by 10% and issues new price list which is 25% more than the previous one . If company offers same discount as earlier then what will be its profit % at increased production cost.

Study the following graph carefully and answer the questions that follow Which of the following statements is truewith respect to the above graph ?

If area of a square is 64 sq cm, then find the area ofthe circle formed by the same perimeter.

The number of zeros at end of the product of 222^(111) xx 35^(53) + (7!)^(6!) xx (10!)^(5!) + 42^(42) xx 25^(25) is :

Find the total number of terms in (1+x+x^2)^3.

If 5 persons weave 180 shawls in 12 days, How many shawls will 6 persons weave in 15 days?

Which of the following relations is NOT always true?

If in a triangle ABC, BE and CF are two medians perpendicular to each other and if AB=19 cm and AC=22 cm then the length of BC is

At r% per annum a sum become 2 times after 20 years. The rate of interest per annum is :

If a four digit number is formed by repeating a two digit number two times (e.g. 2525), then that number will be divisible by :

If alpha and beta are the roots of the equation x^(2)-x-4=0, find the value of (1)/(alpha)+(1)/(bta)-alpha beta:

A square is drawn by joining the mid points of the sides of a given square. A third square is drawn inside the second square in the same way and this process continues indefinitely. If a side of the first square is 4 cm, determine the sum of the areas of all the squares :

For any odd prime number p there exists a positive integer k where 1 < k < p, such that the remainder of (k^2)/p is 1. Then the number of positive integers k is :

If (x-y+z):(y-z+2w):(2x+z-w)=3:4:7, then (2x+2z-2w):w=?

A survey shows that 41%, 35% and 60% of the people watch “A”, “B” and “C” respectively. 27% people watch exactly two of the three movies and 3% watch none. What percentage of people watch all the three movies?

A runs 132​times as fast as B. If A gives B a start of 80 m, how far must the winning post be so that A and B might reach it at the same time?

log_(10)a^p.b^q.c^r=?

600 students took a mock exam in Delhi. 55% of the boys and 75% of the girls cleared the cut off in theexamination. If the total percentage of students qualifying is 63%. Find the number of boys and girls appeared in the examination.

If LCMof two numbers is twiceof bigger number and difference of HCF and smaller number is 4 Find smaller number .

If cos2B=(cos(A+C))/(cos(A-C)), then tan A, tan B, tan C are in

A businessman sells a commodity at 10% profit. If he had bought it at 10% less and sold it for Rs. 2 less, then he would have gained 16(2)/(3)%. The cost price of the commodity is

Find the co-ordinates of the point which divides the join of the point (2,3) and (6,8) externally in the ratio 4:3.

A retailer bought 20 kg tea at a discount of 10%. Besides 1 kg tea was freely offered to him by the wholesaler at the purchase of 20 kg tea. Now, he sells all the tea at the marked price to a customer. What is profit percentage of retailer?

Two men, B and C run around a circular track of length 500m in opposite directions with initial speeds of 4m/s and 1m/s respectively starting from the same point simultaneously. Whenever they meet, Ben’s speed halfs and Carl’s speed doubles, after how much time will they meet for the 3rd time?

Expression 4x^(2) - 16x + 17 will be minimum when x= ?

If (x)/(a)=(y)/(b)=(z)/(c) then xy+yz+zx is equal to :

A boat running upstream covers a distance of 10 km in 30 min and while running downstream, it covers the same distance in 25 min. What is the speed of the river current (in km/h)?

A does half as much work as B and C does half as much work as A and B together. If C alone can finish the work in 40 days, then all together will finish the work in?

(143^(321))/(5)find R.

A does half as much work as B in three-fourth of the time. If together they take 18 days to complete a work, how much time shall B take to do it alone ?

Threecriticsreviewa bookoddsin favourof thebookare 5 :2,4:3and3 :4respectivelyfor thecriticsfindthe probabilitythatmajorityare infavourof thebook

If 20% of the persons who drive Bajaj's bike also drive another bike. What is the number of people who drive only Bajaj' bike?

Speed of boat in still water is 12 km/h and speed of stream is 4 km/h. The boat takes total 6 hours to go and comes back. Find the length of river.

Value of ? In expression 7^(8.9)/(343)^(1.7)xx(49)^(4.8)=7^(?) is

There are twoconcentric hexagons. Each of the side of both the hexagons are parallel . Each side of an internal regular hexagon is 8 cm . What is the area of the shaded region , if the distance between corresponding parallel sides is 2sqrt(3) cm :

If the areasof three adjacent faces of a cuboid are x ,\ y ,\ zrespectively,then the volume of the cuboid isx y z(b) 2x y z(c) sqrt(x y z)(d) 3sqrt(x y z)

Ifa-(1)/(a) = 3 , " then " a^6 + (1)/(a^6) is equal to :

One shopkeeper calculates his profit at C.P. and second at S.P. both gains profit of 20%. If S.P. of both is same and differences of both the profit is Rs 85 then find the S.P. ?

30 men can repair a road in 18 days. They are joined by 6 more workers. Now the road can be repaired in

A runs 132times as fast as B. If A gives B a start of 80 m, how far must the winning post be so that A and B might reach it at the same time?