8677 + Interview Questions in Maths in Class 14 Page 104 InterviewSolution

5151.	At what per cent above the cost price must an articles be marked, so as to gain 17% after allowing a discount of 10%?
Answer» `34%` `70%` `30%` `27%` ANSWER :C

Discussion

5152.	Solve the following problems independently of each other Find the number of diagonals in a heptagon
Answer» 14 21 12 16 Answer :A

Discussion

5153.	In a group of 132 people 50, 60, 70 people like three different sweets-Barfi, Jalebi, Rasgulla, respectively. The number of people who like all the three sweets is half the number of people who like exactly two sweets. The number of people who like exactly any two out of the three sweets is the same as those who like exactly any other two of the three sweets. find the number of people who like Rasgulla or Jalebi but not Barfi
Answer» 82 42 48 38 Answer :A

Discussion

5154.	If the product of the HCF and the LCM of 3 natural numbers p,q,r equals pqr, then p,q,r must be :
Answer» Such that ( p , Q, R) = 1 prime NUMBER ODD number such that (p , q) = (p , r) = (q , r) = 1 Answer :A

Discussion

5155.	A, B and C can do a work in 20, 30 and 60 days respectively. A started the work but every third day three of them work together. Then find the number of days it too them to complete the work.
Answer» ANSWER :15 DAYS

Discussion

5156.	Ram and Hari started from A and B, towards B and A at 6 : 00 am and 7 : 00 am respectively. They meet each other at 9 : 00 am and continued towards their respective destinations. Ram reaching B turns back and catches up with Hari before Hari reaches A at 11 : 00 am. At what time will Hari reach at A?
Answer» a. `7:00` pm b. `4.00` pm c. `5.00` pm d. `6:00` pm Answer :D

Discussion

5157.	Find maximum value of (6-x) (x+4)
Answer» ANSWER :25

Discussion

5158.	Due to an increment of 50%in the price of egg a person is able to buy 4 eggs less for Rs. 24. Find the initial cost of per dozen egg?
Answer» ANSWER :RS. 36

Discussion

5159.	If 7 times the 7th term of an A.P. is equal to 11 times itseleventh term then the 18th term of the A.P. is ___
Answer» 0 -8 18 77 Answer :A

Discussion

5160.	IfA,B and C be any three sets , then A uu (Bnn C) is the same as :
Answer» `(A NN C) uu (B nn C) ` `(A uu B) nn (A uu C)` `(AuuB) nn (B uu C)` `(A uu C) nn (B UUC)` Answer :b

Discussion

5161.	If tantheta.tan2theta=1, then find the value of sin^(2)2theta+tan^(2)2theta.
Answer» `(3)/(4)` `(10)/(3)` `3(3)/(4)` 3 Answer :C

Discussion

5162.	Two numbers are respectively 20% and 50% more than a third number. The ratio of the two numbers is
Answer» a. 2:5 b. 3:5 c. 4:5 d. 6:7 Answer :D

Discussion

5163.	Malika travelled 5/16 of his journey by coach and 7/20 by rail, she walked the remaining 10 km, how far did she go altogether?
Answer» `27 17/29` `33 7/27` `19 7/27` `29 17/27` ANSWER :D

Discussion

5164.	If n = ""^(k)C_2, the value of ""^(n)C_2 is:
Answer» `2("^(k+2)C_4)` `(n-2)!` `(k-2)!` `3("^(k+3)C_4)` ANSWER :D

Discussion

5165.	If x be a rational number and y be an irrational number, then :
Answer» both `X + y` and `xy` are necessarily IRRATIONAL both `x + y` and `xy` are necessarily RATIONAL `xy` is necessarily irrational, but x + y can be EITHER rational or irrational `x + y` NECESSARITY irrational , but xy can be either rational or irrational Answer :A

Discussion

5166.	Convert (16504)_8 to binary .
Answer» SOLUTION :

Discussion

5167.	In 1 km race, A beats B by 18 m or 9 s. Find the A's time over the course
Answer» 391 s 591s 491 s 500 s Answer :C

Discussion

5168.	A certain sum of money becomes (41)/( 40) times of itself in 4years. Find the Rate of interest.
Answer» ANSWER :`(5)/(8) %`

Discussion

5169.	A certain number 'n' can exactly divide (3^24-1), then this number can also divide the number:
Answer» `(3^16+1)` `(3^8-1)` `(3^70-1)` `(3^96-1)` ANSWER :D

Discussion

5170.	The two roots of a quadratic equation are -7 and -3, what will be the maximum value of this equation?
Answer» 1 `-1` 4 Cannot be DETERMINED uniquely Answer :D

Discussion

5171.	A train 200 m long travels at the speed of 72 km/h A man is runing at 3.6 km/h in the same direction in which train is going.The train will pass the man is:
Answer» 10 s 12(3/19)s 10(10/19)s none of these Answer :C

Discussion

5172.	A person earns ₹ 2400 per day and spends ₹ 1600. Find the ratio of his savings to expenditure.
Answer» SOLUTION :800/1600=1/2(Savings=Income=Expenditure) =1:2

Discussion

5173.	All the four angles of a quadrilateral are in G.P. with common ratio r(r in N) . Any two angles are acute and other two angles are obtuse, then the measure of the smallest angle of the quadrilateral is :
Answer» `18^@` `32^@` `24^@` `36^@` Answer :C

Discussion

5174.	For the quadratic equation x^2-11x+24=0, what wi,ll be the position of the vertex of the quadratic, graph with reference to the X-axis?
Answer» `25//4` UNITS below `25//4` units above `21//4` units below con't be determined Answer :A

Discussion

5175.	Find the value of k, if (x+2) exactly divides x^(3)+6x^(2)+4x+k.
Answer» 4 6 -8 -10 Answer :C

Discussion

5176.	If f(x) is a one to one function, where f(x)=x^(2)-x+1, then find the inverse of the f(x):
Answer» (x-1/2) `SQRT(x-3/4)+1/2` `sqrt(x-3/4)-1/2` NONE of these Answer :B

Discussion

5177.	If x + y =z, find the value of cos^2 x + cos^2 y +cos^2z- 2cosx.cosy.cosz.
Answer» ANSWER :`1 + 2 COS x.cosy.cosz`

Discussion

5178.	Pipe K fills a tank in 30 minutes. Pipe L can fill the same tank 5 times as fast as pipe K. If both the pipes were kept open when the tank is empty, how much time will it take for the tank to overflow ?
Answer» A) 3 minutes B) 2 minutes C) 4 minutes D) 5 minutes Answer :`x = 30^(@)`

Discussion

5179.	Distance between A and B is 230 km. After travelling a certain distance a motobike breaks down and then it travels at the 3/4th of the actual speed and reaches 1 hour late. If the bike had broken down after travelling a distance of 30 km more he would have reached 12 minutes earlier. Find out the distance at which the bike broke down and speed of bike.
Answer» ANSWER :80 KM, 50 km/h

Discussion

5180.	If 0ltalt1 and 9leble10, then
Answer» `9lea+ble11` `9lea+blt11` `9lta+ble11` `9lta+blt11` ANSWER :D

Discussion

5181.	A can finish (2)/(5)of work done by B in (1)/(4) of time taken by B. B can finish (4)/(3)of work done by C in (3)/(5)of time taken by C. Working together they can finish the work in 60 days. In how many days they will finish the work, working alone?
Answer» ANSWER :`114(3)/(8)` days, 183 days, `406(2)/(3)` days

Discussion

5182.	A man buys a TV priced at Rs. 16000. He pays Rs. 4000 at once and the rest after 15 months on which he is charged a simple interest at the rate of 12% per year. Find the total amount he pays for the TV.
Answer» ANSWER :RS. 17800

Discussion

5183.	If x is a natural numbeer, which is a perfect square, then the number x + sqrtx must end in :
Answer» A)0 or 5 B)0 or 1 or 9 C)0 or 2 or 6 D)0 or 4 or 8 Answer :C

Discussion

5184.	After travelling a distance of 50 km train meets with an accident and its speed becomes 3/4th of its actual speed and reaches 35 minutes late. If this accident had occurred after travelling 24 km more train would have reached the station 25 minutes late. Find out the distance and speed of train.
Answer» ANSWER : 134 KM, 48 km/h

Discussion

5185.	Abhishek, Bobby and Carlie start from the same point and travel in the same direction around an island 6 km in circumference. Abhishek travels at the rate of 3, Bobby at the rate of 2(1)/2 and Charlie at the rate of 1(1/4) km/hr. In how many hours will they come together again?
Answer» 6 hrs 12 hrs 24 hrs 15 hrs Answer :C

Discussion

5186.	The sequence of sets S_1,S_2,S_3,S_4,... is defined as S_1={1}, S_2={3,5}, S_3={7,9,11}, S_4={13,15,17,19}… etc. The first element of the nth set S_n is:
Answer» `N ` `n^2 - 1` `2N+ 1` `n^2 - n + 1` ANSWER :D

Discussion

5187.	A function is defined as f(x)=(25)/((x+5)^(2)), then the value of f(x)
Answer» DECREASES as the VALUE of X INCREASES, only if x is negative increases as the value of x increases, only if x is negative decreases as the value of x increases, only if x is positive both (a) and (C ) are true Answer :C

Discussion

5188.	In the previous problem if A gets a profit of Rs. 4200 the amount invested by B is :
Answer» 2250 2600 1350 can't be determined. Answer :D

Discussion

5189.	Find the value of (7^3)^(-2)log_(7)8:
Answer» `8^(-7)` `6^(-8)` `8^(-6)` NONE of these Answer :C

Discussion

5190.	A team plays 40 matches in any year and wins 40%of the matches. Next year the team won sum consecutive matches and the percentage of its winning matches becomes 80%. Find out how many matches did the team win consecutively.
Answer» ANSWER :80 MATCHES

Discussion

5191.	Total number of factors of 36 is:
Answer» 60 62 46 can't be determined Answer :A

Discussion

5192.	twofaircoinsaretossed simultaneously . Findthe probabilityof getting atleasttwoheads :
Answer» `3/4` `1/2` `1/4` 1 Answer :C

Discussion

5193.	If secx+tanx=a, then find the value of sinx.
Answer» `(a^(2)-1)/(a^(2)+1)` `(a^(2)+1)/(a^(2)-1)` `(a-1)/(a^(2)+1)` `(a^(2)-1)/(a+1)` ANSWER :B

Discussion

5194.	A and B are complementary angles, then find the value of sinAcosB+cosAsinB+2tanAtanB-sec^(2)A+cot^(2)B.
Answer» 5 `SQRT(2)` 2 3 Answer :C

Discussion

5195.	An urn contains 5 different red and 6 different green balls. In how many ways can 6 balls be selected so that there are atleast two balls of each colour?
Answer» 425 245 125 625 Answer :A

Discussion

5196.	A, B and C are three book binders. A takes 8 .minutes, B takes 12 minutes and C takes 16 minutes to bind a book. If they work each day for 12 hours, then on an average, how many books each one bind per day?
Answer» 65 52 48 70 Answer :A

Discussion

5197.	If r be the ratio of the roots of the equation ax^2+bx+c=0, then which one of the following is true
Answer» `ac(1+r)^2=(RB)^2` `ac(1+r)^2=rb^2` `AB(1+r)^2=rc^2` `ac(1+r)^2=br^2` ANSWER :B

Discussion

5198.	A 125 m long train take 25 s to cross a person who is going in the same direction with the speed of 4 km/h. After crossing that person, the train can reach next station in 30 min. How long that person takes to reach that station after being crossed by them?
Answer» `3 HR` `4HR` `3.5hr` `2.75hr` ANSWER :B

Discussion

5199.	ABCD is a cyclic quadrilateral whose vertices are equidistant from the point O (centre of the circle). If angleCOD=120^(@)" and "angleBAC=30^(@), then the measure of angleBCD is :
Answer» `180^(@)` `150^(@)` `60^(@)` `90^(@)` ANSWER :D

Discussion

5200.	Speed of motor boat in still water is 45 km/h.If the motor boat travels 80km a long the stream in 1h 20min ,then the time taken by it to cover the same distance against the stream will be
Answer» 4 h 20 MIN 3 h 40 min 2 h 40 min 2 h 55 min Answer :C

Discussion

Explore topic-wise InterviewSolutions in .

At what per cent above the cost price must an articles be marked, so as to gain 17% after allowing a discount of 10%?

Solve the following problems independently of each other Find the number of diagonals in a heptagon

If the product of the HCF and the LCM of 3 natural numbers p,q,r equals pqr, then p,q,r must be :

A, B and C can do a work in 20, 30 and 60 days respectively. A started the work but every third day three of them work together. Then find the number of days it too them to complete the work.

Find maximum value of (6-x) (x+4)

Due to an increment of 50%in the price of egg a person is able to buy 4 eggs less for Rs. 24. Find the initial cost of per dozen egg?

If 7 times the 7th term of an A.P. is equal to 11 times itseleventh term then the 18th term of the A.P. is ___

IfA,B and C be any three sets , then A uu (Bnn C) is the same as :

If tantheta.tan2theta=1, then find the value of sin^(2)2theta+tan^(2)2theta.

Two numbers are respectively 20% and 50% more than a third number. The ratio of the two numbers is

Malika travelled 5/16 of his journey by coach and 7/20 by rail, she walked the remaining 10 km, how far did she go altogether?

If n = ""^(k)C_2, the value of ""^(n)C_2 is:

If x be a rational number and y be an irrational number, then :

Convert (16504)_8 to binary .

In 1 km race, A beats B by 18 m or 9 s. Find the A's time over the course

A certain sum of money becomes (41)/( 40) times of itself in 4years. Find the Rate of interest.

A certain number 'n' can exactly divide (3^24-1), then this number can also divide the number:

The two roots of a quadratic equation are -7 and -3, what will be the maximum value of this equation?

A train 200 m long travels at the speed of 72 km/h A man is runing at 3.6 km/h in the same direction in which train is going.The train will pass the man is:

A person earns ₹ 2400 per day and spends ₹ 1600. Find the ratio of his savings to expenditure.

All the four angles of a quadrilateral are in G.P. with common ratio r(r in N) . Any two angles are acute and other two angles are obtuse, then the measure of the smallest angle of the quadrilateral is :

For the quadratic equation x^2-11x+24=0, what wi,ll be the position of the vertex of the quadratic, graph with reference to the X-axis?

Find the value of k, if (x+2) exactly divides x^(3)+6x^(2)+4x+k.

If f(x) is a one to one function, where f(x)=x^(2)-x+1, then find the inverse of the f(x):

If x + y =z, find the value of cos^2 x + cos^2 y +cos^2z- 2cosx.cosy.cosz.

Pipe K fills a tank in 30 minutes. Pipe L can fill the same tank 5 times as fast as pipe K. If both the pipes were kept open when the tank is empty, how much time will it take for the tank to overflow ?

If 0ltalt1 and 9leble10, then

A can finish (2)/(5)of work done by B in (1)/(4) of time taken by B. B can finish (4)/(3)of work done by C in (3)/(5)of time taken by C. Working together they can finish the work in 60 days. In how many days they will finish the work, working alone?

A man buys a TV priced at Rs. 16000. He pays Rs. 4000 at once and the rest after 15 months on which he is charged a simple interest at the rate of 12% per year. Find the total amount he pays for the TV.

If x is a natural numbeer, which is a perfect square, then the number x + sqrtx must end in :

After travelling a distance of 50 km train meets with an accident and its speed becomes 3/4th of its actual speed and reaches 35 minutes late. If this accident had occurred after travelling 24 km more train would have reached the station 25 minutes late. Find out the distance and speed of train.

Abhishek, Bobby and Carlie start from the same point and travel in the same direction around an island 6 km in circumference. Abhishek travels at the rate of 3, Bobby at the rate of 2(1)/2 and Charlie at the rate of 1(1/4) km/hr. In how many hours will they come together again?

The sequence of sets S_1,S_2,S_3,S_4,... is defined as S_1={1}, S_2={3,5}, S_3={7,9,11}, S_4={13,15,17,19}… etc. The first element of the nth set S_n is:

A function is defined as f(x)=(25)/((x+5)^(2)), then the value of f(x)

In the previous problem if A gets a profit of Rs. 4200 the amount invested by B is :

Find the value of (7^3)^(-2)log_(7)8:

A team plays 40 matches in any year and wins 40%of the matches. Next year the team won sum consecutive matches and the percentage of its winning matches becomes 80%. Find out how many matches did the team win consecutively.

Total number of factors of 36 is:

twofaircoinsaretossed simultaneously . Findthe probabilityof getting atleasttwoheads :

If secx+tanx=a, then find the value of sinx.

A and B are complementary angles, then find the value of sinAcosB+cosAsinB+2tanAtanB-sec^(2)A+cot^(2)B.

An urn contains 5 different red and 6 different green balls. In how many ways can 6 balls be selected so that there are atleast two balls of each colour?

A, B and C are three book binders. A takes 8 .minutes, B takes 12 minutes and C takes 16 minutes to bind a book. If they work each day for 12 hours, then on an average, how many books each one bind per day?

If r be the ratio of the roots of the equation ax^2+bx+c=0, then which one of the following is true

A 125 m long train take 25 s to cross a person who is going in the same direction with the speed of 4 km/h. After crossing that person, the train can reach next station in 30 min. How long that person takes to reach that station after being crossed by them?

ABCD is a cyclic quadrilateral whose vertices are equidistant from the point O (centre of the circle). If angleCOD=120^(@)" and "angleBAC=30^(@), then the measure of angleBCD is :

Speed of motor boat in still water is 45 km/h.If the motor boat travels 80km a long the stream in 1h 20min ,then the time taken by it to cover the same distance against the stream will be