8677 + Interview Questions in Maths in Class 14 Page 165 InterviewSolution

8201.	Colonel, Major and General started a work together fort ₹ 816. Colonel and Major did 8/17 of the total work, while Major and General together did (12/17) of the whole work. What is the amount of the least efficient person?
Answer» ₹ 256 ₹ 144 ₹ 85 can’t be determined Answer :B

Discussion

8202.	An inlet pipe can fill a tank in 5 hours and an outlet pipe can empty the same tank in 36 hours, working individually. How many additional number of outlet pipes of the same capacity are required to be opened, so that the tank never over flows?
Answer» 3 6 8 7 Answer :D

Discussion

8203.	A bag contains 4 mangoes and 5 oranges. In how many ways can I make a selection so as to take atleast onemango and one orange?
Answer» 465 365 7 19 Answer :A

Discussion

8204.	A,B,C,D E are five electronic shops which have 20,30,60,80,50 TV sets .if each of A,B,C,D,E have imported 12 new T.V. sets then the average number of T.V. Sets is :
Answer» 50 56 60 144 Solution :AVERAGE NUMBER of T.v. SETS=(20+12)+(30+12)+(60+12)+(80+12)+(50+12))/5=300/5=60

Discussion

8205.	Ifsin theta =3 sin ( theta + 2 alpha), then the value oftan (theta + alpha) + 2 tan alpha is
Answer» 1 `-1` 0 2 Answer :C

Discussion

8206.	Speed of boat in still water is 10 km/h and speed of stream is 4 km/h. If total time taken by a boat to go and come back is 10 hours. Find the length of the river.
Answer» SOLUTION :N/A

Discussion

8207.	x(35-x) = 124 y(2y+3) = 90
Answer» `X gt y` ` x lt y` ` x ge y` x = y or RELATION cannot be ESTABLISHED SOLUTION :` x(35-x)= 124` ` x = 31,4` ` y(2y+3)= 90` ` y = -7.5,6`

Discussion

8208.	The ratio of the area of a square to that of the square drawn on its diagonal is:
Answer» 1:1 1:2 1:3 1:4 Answer :B

Discussion

8209.	IF Aand Bbetwoeventsin a samplespacesuchthatP(A )= 2/5,P(B ) = 1/2 and P(A uu B ) = 3/5 , findP(A nn B )
Answer» `3/10` `7/10` `4/7` `4/15` ANSWER :A

Discussion

8210.	If m and n (n gt 1) are whole numbers such that m^(n)=121, the value of (m-1)^(n+1) is
Answer» 12321 1 1000 11 Answer :C

Discussion

8211.	A man borrows Rs. 3000 at 10% per annum and promises to pay Rs. 1000 every year. If he wish to finish all his what amount he have to pay in third year
Answer» ANSWER :RS. 1683

Discussion

8212.	If 2^(x) = 4^(y) = 8^(z) and xyz = 288, the value of 1/(2x) + 1/(4y) + 1/(8z) is
Answer» `(11)/(12)` `(11)/(96)` `(29)/(96)` `(23)/(48)` ANSWER :B

Discussion

8213.	If 4 is added to the numerator of fraction, it becomes 1/3 and if 3 is added to the denominator of the same fraction it becomes 1/6 then the sum of the numerator and denominator is :
Answer» 32 7 4 3 Answer :A

Discussion

8214.	A rectangular field costs Rs. 110 for levelling at 50 paise per square metre. If the ratio of length: breadth is 11:5. Find the length of the field:
Answer» 16 m 21m 22 m NONE of thse Answer :C

Discussion

8215.	Let a_1 , a_2 ,a_3, …., a_n be an A.P. and S_1 , S_2 and S_3 be the sum of first n , 2n and 3n terms respectively then S_3 - S_2 -S_1 is equal to , if a is first term and d is common difference :
Answer» 3a-2n-d a(n+2d) 3a+2nd `2n^2d` ANSWER :D

Discussion

8216.	If p, q, r be three positive numbers such that p gt q gt r.when the smallest number is added to the difference of the rest two number, then the average of the resultant number and the original numbers except to the smallest number is 21 more than the average of all the three original numbers . Find the value of(p – q).
Answer» ANSWER :63

Discussion

8217.	Find the sum of all the co-prime numbers of 10.
Answer» Solution :`10 = 2xx5` Sum of all the co-prime NUMBERS of 10 is given by `10/2[varphi(10)=10/2(1-1/2)(1-1/5)=20` The REQUIRED sum is 1 + 3 + 7 + 9 = 20

Discussion

8218.	If sintheta.sec(30^(@)+theta)=1 where (0ltthetalt60^(@))thenthe value of sintheta+cos2theta is :
Answer» 1 `(2+sqrt(3))/(2sqrt(3))` 0 `sqrt(2)` Answer :A

Discussion

8219.	Product of divisors of 360 is :
Answer» `(360)^12` `(360)^120` `(360)^22` `6^24xx10^10` SOLUTION :`therefore 360 =2^3xx3^2xx5^1 therefore` NUMBER of factors of 360 = (3+1)(2+1)(1+1) = 24 THUS the product of factors = `(360)^(24/2) = (360)^12`

Discussion

8220.	If x+ (1)/(x)=3, then x^(6) + (1)/(x^(6))=?
Answer» ANSWER :322

Discussion

8221.	If x+ (1)/(x)=2, findx^(11) + (1)/(x^(11))= ?
Answer» ANSWER :2

Discussion

8222.	If p be any odd natural number, greater than 3 then which digit will never appear as the last digit in the product of (p^2 - 1)(p^2 + 1) is :
Answer» 9 and 7 5 and 3 1 and 5 all of these Answer :D

Discussion

8223.	Number of value sof x satisfying the equation (15+4sqrt(14))^(t)+(15-4sqrt(14))^(t)=30, where t=x^(2)-2\|x\|,
Answer» a. 0 b. 2 C. 4 d. 6 Answer :C

Discussion

8224.	If x^(2) + 4y^(2) =12 xy, then log (x+2y) is equal to
Answer» `1/2 (log X + logy + 2 log2)` `1/2 (log x + log y + 4 log2)` `1/2(log x + log y - log 2)` NONE of these Answer :B

Discussion

8225.	Find the soluations of the following equations. y=sqrt(5y+6)-2
Answer» SOLUTION :`-1` and 2

Discussion

8226.	x@y = (x + y)^2 x#y = (x-y)^2 (2@2) + (3#3) - (4@4) + (5#5) is equal to :
Answer» 64 -48 28 none of these Answer :B

Discussion

8227.	A man covers half of his journey at 8 km/h and the remaining half at 12 km/h. His average speed is
Answer» 24.3 8 9.6 11.5 Answer :A

Discussion

8228.	Aishwarya is going to cover a distance of 360 km from Ambala to Khandala. The first one- third of the distance she covers on a cycle. The second one -third she covers by an auto- rickshaw and the remaining distance she travels by car . The average speed of the journey by a car is 5 times the average speed by cycle and 20 km/h more than the average speed by auto - rickshaw but she took 1 hour more by auto - rickshaw than by car. What is the average speed of the whole journey?
Answer» 15 km/h 24 km/h 20 km/h none of these Answer :B

Discussion

8229.	In India there were only three bicycle making companies in the given period. The following table shows the production of units (in 000) The simple average rate of growth of production of Hero cycles from 1990-95 :
Answer» `37%` `42%` `27%` `31.5%` ANSWER :A

Discussion

8230.	A train P starts from Mokama at 5:00 pm and reaches Hazipur at 6:00pm. Ananotherr train Q starts from Hazipur at 5:00 pm and reaches Mokama at 6:30 pm. At what time, two trains will cross each other?
Answer» ` 5:36 `PM `4 :36 `pm `6:00 `pm `7:00 `pm Answer :A

Discussion

8231.	A man borrows a total sum of Rs. 10,000 from two sources. To one he pays 10% and to the other 5% perannum simple interest. If the total interest paid by him is Rs. 700. How much did he borrow at each rate of interest?
Answer» ANSWER :RS 4000 , Rs 6000

Discussion

8232.	If x (3- 2/x) = 3/x , then the value of x^2 + 1/x^2 is
Answer» `2 (1)/(9)` `2 (4)/(9)` `3(1)/(9)` `3 (4)/(9)` ANSWER :B

Discussion

8233.	If a o+ b = a^3 + b^2+ 1 a © b = (a - b)^2+ 1 a ** b = a^3 - b^2 + 1 The value of P = (((2 o+ 2) © 2) is :
Answer» 14441 14401 144001 None of these ANSWER :B

Discussion

8234.	A library has an average of 510 visitors on Sunday and 240 on other days. What is average number of visitors per day in a month of 30 days beginning with a Sunday?
Answer» 290 304 285 270 Answer :C

Discussion

8235.	The monthly salary of Shahid and Kareena together is $28,000. The salary of Shahid and Kareena is increased by 25% and 12.5% respectively then the new salary of Kareena becomes 120% of the new salary of Shahid. The new (or increased) salary of Shahid is :
Answer» 15000 18000 14000 16000 Answer :A

Discussion

8236.	Which of these is a prime number 3123, 219, 573, 467 :
Answer» 219 467 573 3123 Answer :B

Discussion

8237.	The remainder when n is divided by 3 is 1 and the remainder when (n+1) is divided by 2 is 1. The remainder when (n-1) is divided by 6 is :
Answer» 2 3 5 none of (a), (B), (C) ANSWER :B

Discussion

8238.	Iffrom eachof the threeboxes containing 3 whiteand 1 black , 2 whiteand 2black, 1 whiteand 3 blackballs , one ballis drawnat random, then theprobability that 2whiteand 1black ball will bedrawn is :
Answer» `13/32` `27/32` `19/32` NONE of these Answer :A

Discussion

8239.	Ram went on a 10 mile drive. He started with a certain speed and after covering each mile, his speed is decreased by 20% for the next mile. If he took 5 minutes to cover the first 5 mile of the drive, what is the approximate time taken by himto cover the next 5 miles?
Answer» ANSWER :15MIN . 15 SEC

Discussion

8240.	How much quantity if rice of the price 18 rupees per kg should be mixed with 45 kg of rice having price 26 rupees per kg so that after selling mixture at 25.2 rupees per kg threre is a profit of 5%?
Answer» 30kg 25kg 20kg 15 Solution :Let the quantity of rice to be MIXED is X KG. Cost price of MIXTURE `25.2xx(100)/(105)=24` rupees per kg `("rice A")/("rice B")=(6)/(2)=(3)/(1)` `therefore x=(1)/(3)xx45=15kg`.

Discussion

8241.	Two workers undertake to do a job. The second-worker started working 2 hours after the first. Five hours after the second worker has begun working there is still 9/20 work to be done. When the assignment is completed, it turns out that first worker has done 60% of the work, while second worker has done rest of the work. How many hours would it take each one to do the whole job individually?
Answer» 10 HOURS and 12 hours 15 hours and 10 hours 20 hours and 25 hours 18 hours and 20 hours Answer :C

Discussion

8242.	A man possessing Rs. 6,800 lent a part of it at 10% simple interest and the remaining at 7.5% simple interest. His total income after 3(1)/(2) years was Rs. 1,904. Find the sum lent at 10% rate.
Answer» Rs.1,260 Rs.1,360 Rs.1,700 Rs.1,800 Answer :B

Discussion

8243.	The value of cos105^(@)+sin105^(@) is
Answer» `(1)/(2)` 1 `SQRT(2)` `(1)/(sqrt(2))` ANSWER :A::C

Discussion

8244.	. A man buys a certain number of oranges at 20 for Rs. 60 and an equal number at 30 for Rs. 60. He mixes them and sells them 25 for Rs. 60. What is his gain or loss percent?
Answer» GAIN of `4%` LOSS of `4%` Neither gain nor loss loss `5%` ANSWER :B

Discussion

8245.	A boy draws n squares with sides 1,2,3,4,5,…. In inches. The average area covered by these n square will be :
Answer» a. `((n+1)/2)` B. `((n+1)/2)((2N+1)/(3))` c. `((n+1)/(2))((2n + 1)/(3))^(-1)` d. `((n+1)/2) - 1((2n +1)/(3))` Answer :B

Discussion

8246.	The value of log_(10)2 + 16 log_(10)(16/15) + 12 log_(10)(25/24) + 7 log_(10)(81/80) is:
Answer» 0 1 2 3 Answer :B

Discussion

8247.	A man working 8 hours a day takes 5 days to complete a project. How many hours a day must he work to complete. It in 4 days?
Answer» SOLUTION :More DAYS, LESS HOURS, less days, more hours.

Discussion

8248.	There is unique 3 digit number which is cube of a natural number, if we shift the position of the digits of this number. The new number also becomes the cube of another number. The number is :
Answer» 343 729 125 does not EXIST ANSWER :C

Discussion

8249.	A 240 m long train crosses a platform of equal length in 27 s. What is the speed of the train in km/h?
Answer» 48 60 56 64 Answer :D

Discussion

8250.	A sum of money becomes 3 times of itself in 5 years at certain simple interest. In what time it will becomes 9 times of itself.
Answer» ANSWER :20 YEARS

Discussion

Explore topic-wise InterviewSolutions in .

Colonel, Major and General started a work together fort ₹ 816. Colonel and Major did 8/17 of the total work, while Major and General together did (12/17) of the whole work. What is the amount of the least efficient person?

An inlet pipe can fill a tank in 5 hours and an outlet pipe can empty the same tank in 36 hours, working individually. How many additional number of outlet pipes of the same capacity are required to be opened, so that the tank never over flows?

A bag contains 4 mangoes and 5 oranges. In how many ways can I make a selection so as to take atleast onemango and one orange?

A,B,C,D E are five electronic shops which have 20,30,60,80,50 TV sets .if each of A,B,C,D,E have imported 12 new T.V. sets then the average number of T.V. Sets is :

Ifsin theta =3 sin ( theta + 2 alpha), then the value oftan (theta + alpha) + 2 tan alpha is

Speed of boat in still water is 10 km/h and speed of stream is 4 km/h. If total time taken by a boat to go and come back is 10 hours. Find the length of the river.

x(35-x) = 124 y(2y+3) = 90

The ratio of the area of a square to that of the square drawn on its diagonal is:

IF Aand Bbetwoeventsin a samplespacesuchthatP(A )= 2/5,P(B ) = 1/2 and P(A uu B ) = 3/5 , findP(A nn B )

If m and n (n gt 1) are whole numbers such that m^(n)=121, the value of (m-1)^(n+1) is

A man borrows Rs. 3000 at 10% per annum and promises to pay Rs. 1000 every year. If he wish to finish all his what amount he have to pay in third year

If 2^(x) = 4^(y) = 8^(z) and xyz = 288, the value of 1/(2x) + 1/(4y) + 1/(8z) is

If 4 is added to the numerator of fraction, it becomes 1/3 and if 3 is added to the denominator of the same fraction it becomes 1/6 then the sum of the numerator and denominator is :

A rectangular field costs Rs. 110 for levelling at 50 paise per square metre. If the ratio of length: breadth is 11:5. Find the length of the field:

Let a_1 , a_2 ,a_3, …., a_n be an A.P. and S_1 , S_2 and S_3 be the sum of first n , 2n and 3n terms respectively then S_3 - S_2 -S_1 is equal to , if a is first term and d is common difference :

Find the sum of all the co-prime numbers of 10.

If sintheta.sec(30^(@)+theta)=1 where (0ltthetalt60^(@))thenthe value of sintheta+cos2theta is :

Product of divisors of 360 is :

If x+ (1)/(x)=3, then x^(6) + (1)/(x^(6))=?

If x+ (1)/(x)=2, findx^(11) + (1)/(x^(11))= ?

If p be any odd natural number, greater than 3 then which digit will never appear as the last digit in the product of (p^2 - 1)(p^2 + 1) is :

Number of value sof x satisfying the equation (15+4sqrt(14))^(t)+(15-4sqrt(14))^(t)=30, where t=x^(2)-2|x|,

If x^(2) + 4y^(2) =12 xy, then log (x+2y) is equal to

Find the soluations of the following equations. y=sqrt(5y+6)-2

x@y = (x + y)^2 x#y = (x-y)^2 (2@2) + (3#3) - (4@4) + (5#5) is equal to :

A man covers half of his journey at 8 km/h and the remaining half at 12 km/h. His average speed is

In India there were only three bicycle making companies in the given period. The following table shows the production of units (in 000) The simple average rate of growth of production of Hero cycles from 1990-95 :

A train P starts from Mokama at 5:00 pm and reaches Hazipur at 6:00pm. Ananotherr train Q starts from Hazipur at 5:00 pm and reaches Mokama at 6:30 pm. At what time, two trains will cross each other?

A man borrows a total sum of Rs. 10,000 from two sources. To one he pays 10% and to the other 5% perannum simple interest. If the total interest paid by him is Rs. 700. How much did he borrow at each rate of interest?

If x (3- 2/x) = 3/x , then the value of x^2 + 1/x^2 is

If a o+ b = a^3 + b^2+ 1 a © b = (a - b)^2+ 1 a ** b = a^3 - b^2 + 1 The value of P = (((2 o+ 2) © 2) is :

A library has an average of 510 visitors on Sunday and 240 on other days. What is average number of visitors per day in a month of 30 days beginning with a Sunday?

The monthly salary of Shahid and Kareena together is $28,000. The salary of Shahid and Kareena is increased by 25% and 12.5% respectively then the new salary of Kareena becomes 120% of the new salary of Shahid. The new (or increased) salary of Shahid is :

Which of these is a prime number 3123, 219, 573, 467 :

The remainder when n is divided by 3 is 1 and the remainder when (n+1) is divided by 2 is 1. The remainder when (n-1) is divided by 6 is :

Iffrom eachof the threeboxes containing 3 whiteand 1 black , 2 whiteand 2black, 1 whiteand 3 blackballs , one ballis drawnat random, then theprobability that 2whiteand 1black ball will bedrawn is :

Ram went on a 10 mile drive. He started with a certain speed and after covering each mile, his speed is decreased by 20% for the next mile. If he took 5 minutes to cover the first 5 mile of the drive, what is the approximate time taken by himto cover the next 5 miles?

How much quantity if rice of the price 18 rupees per kg should be mixed with 45 kg of rice having price 26 rupees per kg so that after selling mixture at 25.2 rupees per kg threre is a profit of 5%?

A man possessing Rs. 6,800 lent a part of it at 10% simple interest and the remaining at 7.5% simple interest. His total income after 3(1)/(2) years was Rs. 1,904. Find the sum lent at 10% rate.

The value of cos105^(@)+sin105^(@) is

. A man buys a certain number of oranges at 20 for Rs. 60 and an equal number at 30 for Rs. 60. He mixes them and sells them 25 for Rs. 60. What is his gain or loss percent?

A boy draws n squares with sides 1,2,3,4,5,…. In inches. The average area covered by these n square will be :

The value of log_(10)2 + 16 log_(10)(16/15) + 12 log_(10)(25/24) + 7 log_(10)(81/80) is:

A man working 8 hours a day takes 5 days to complete a project. How many hours a day must he work to complete. It in 4 days?

There is unique 3 digit number which is cube of a natural number, if we shift the position of the digits of this number. The new number also becomes the cube of another number. The number is :

A 240 m long train crosses a platform of equal length in 27 s. What is the speed of the train in km/h?

A sum of money becomes 3 times of itself in 5 years at certain simple interest. In what time it will becomes 9 times of itself.