8677 + Interview Questions in Maths in Class 14 Page 47 InterviewSolution

2301.	The present population of a city is 18000. If it increases at the rate of 10% per annum, its population after 2 years will be:
Answer» ANSWER :RS. 21780

Discussion

2302.	Solve sqrt(x+5) + sqrt(5-x) = 4
Answer» ANSWER :`x=8, x=20`

Discussion

2303.	The percentage decrease in production of rice from 1929-30 to1949-50?
Answer» `88.3%` `85.57%` `66.66%` NONE of these Answer :B

Discussion

2304.	A bag contains 480 coins of 50p, 25p, 10p and the ratio of their value is 5: 3:1. How many coins of these three type?
Answer» `75,90,75` `150,18,150` `100,99,75` `150,120,60` ANSWER :B

Discussion

2305.	A family consists of a grandfather, m sons and daughters and 2n grandchildren. They are to be seated in a row for dinner. The grand-children wish to occupy the n seats at each end and the grandfather refuses to have grand-children on either side of him. In how many ways can the family be made to sit.
Answer» `(2n!)(m-1)!` `(2n!)(m!)(m-1)` `(2m!)(N!)` NONE of the above Answer :B

Discussion

2306.	Find the maximum value of 13-4x-x^(2)
Answer» ANSWER :17

Discussion

2307.	If the price of milk is increased by 35%by how much a lady must reduced her consumption so that her expenditure is increased only by 8% .
Answer» ANSWER :`20%`

Discussion

2308.	A={2,3,5,7,11,...89,97} B={4,6,8,10,12,...98,100} C={3,9,15,21,27,33...,99} If a least and a greatest element of Set C are transferred from Set C to Set A then the average of Set A :
Answer» increases decreases remains constant can't be determind Answer :A

Discussion

2309.	If three positive real numbers a,b,c, are in A.P. such that abc=4 , then the minimum value of b is :
Answer» `2^(1//2)` `2^(1//3)` `2^(2//3)` `2^(3//2)` ANSWER :C

Discussion

2310.	If A+B=C and tanA=ktanB, and A-B=phi, then sinC=?
Answer» 0 1 `(k+1)/(k-1)` `(k+1)/(k-1)sinphi` ANSWER :A

Discussion

2311.	The ratio of the angle angleA" and "angle B of a non-square rhombus ABCD is 4 : 5, then the value of angleC is :
Answer» `50^(@)` `45^(@)` `80^(@)` `95^(@)` Answer :C

Discussion

2312.	Two persons A and B throw a die alternately till one of them gets athree and wins the game. Find their respectively probabilities of winning,if a begins.
Answer» `6/11,5/11` `5/11,8/11` `3/11,7/11` `8/11 ,3/11` ANSWER :A

Discussion

2313.	An, automobile agency launched a scheme that if a customer purchases two Jabaaj Discover bikes one extra Jabaaj Discover will be free and if he purchases 3 Jabaaj Pulser he will get one extra Jabaaj Pulser free. I^the cost price of 3 Jabaaj Discover and 4 Jabaaj Pulser be ₹ 67500 and ₹ 232500 respectively. If a customer purchases 2 bikes of Jabaaj Discover and 3 bikes of Jabaaj Pulser as per scheme he availed 1 bike free of each category then at what price these bikes should be sold so, that the agency can get overall profit of 17.5%:
Answer» 235250 352500 368000 268000 Answer :B

Discussion

2314.	The sum of n terms of the series 1+(1+3)+(1+3+5)+ . . ., is
Answer» `[(N(n+1))/2]^2` `n^2` `(n(n+1)(2n+1))/6` none Answer :C

Discussion

2315.	f_(n)={{:(f_(n-1)" if n is even"),(2f_(n-1)" if n is odd"):} and f_(0)=1, find the value of f_(16).
Answer» ANSWER :256

Discussion

2316.	A quadratic equation ax^2+bx+c=0 may have
Answer» TWO REAL roots two non-real roots ONE real and one non-real root Either (a) or (B) ANSWER :D

Discussion

2317.	If the banker's gain is180 at a bill due 6 yr hence at 10% per annum, find the banker's discount.
Answer» ANSWER :RS. 480

Discussion

2318.	If perimeterof a Rhombus is 150 cm. If one diagonalis 25 cm find otherdiagonal and area :
Answer» Answer :`125 SQRT(50) CM^(2)`

Discussion

2319.	A person purchases some article at the rate of 4 articles for rupees 5 and sells them at the rate of 5 articles for rupees 4. Find the total profit or loss in %.
Answer» 22% profit 20% loss 40% profit 36% loss Answer :D

Discussion

2320.	The number of two digit prime numbers, with distinct digits, on being reversed they give again the prime number is :
Answer» 3 5 8 11 Answer :C

Discussion

2321.	Length of a river is 8 km. Speed of boat in still water is 6 km/h . boat takes 3 hours to go and come back. Find the speed of stream.
Answer» SOLUTION :N/A

Discussion

2322.	Twodiceare rolledsimultaneously . Find theprobability of Getting the sumasa primenumber .
Answer» `3/5` `5/12` `1/2` `3/4` ANSWER :B

Discussion

2323.	A number increased by 37.5% gives 99, the number is :
Answer» 140 61.5 72 48 Answer :C

Discussion

2324.	If books bought at price from Rs. 150 to Rs. 300 are sold at prices ranging from Rs. 250 to Rs. 350. What is the greatest possible profit that might be made in selling 15 books?
Answer» ANSWER :3000 RS

Discussion

2325.	What will be the true discount for the present worth of6000 for a period of 9 months at 12% per annum?
Answer» ANSWER :RS. 540

Discussion

2326.	How many6 digit telephonenumberscan beconstructedwith thedigits 0,1,2,3,4,5,6,7,8,9 ifeachnumber startswith35and nodigitappearsmorethanonce ?
Answer» 1600 1680 900000 9000 Answer :B

Discussion

2327.	Anu's present age is 9 years more than that of what Raj's age will be after five years. Raj's present age is seven years more than that of what Renu's age was 4 years ago. Renu's present age is 19 years. What will be Anu's age after 5 years ?
Answer» a. 39 yrs b. 36 yrs c.46 yrs d. 41 yrs Answer : RS. 46000

Discussion

2328.	Ifsin^(8)theta+cos^(8)theta-1=0 , what is thevalue ofcos^(2)thetasin^(2)theta (ifthetane0or(pi)/(2)) ?
Answer» -1` 0 1 2 Answer :4

Discussion

2329.	Find the number of ways in which you can distribute 12 chocolates among 3 kids, such that each kid gets the odd number of chocolates.
Answer» Solution :odd+odd+odd=odd Since 12 is not an odd number, so we cannot DISTRIBUTE odd number of chocolates to each of the three kids. The REQUIRED number of WAYS = 0.

Discussion

2330.	Find the number of ways in which you can distribute 12 chocolates among 3 kids, such that each kid gets the even number of chocolates.
Answer» Solution :Even + Even + Even = Even. THEREFORE it is possible to distribute even number of chocolates, as shown below: `{0,0,12}, {0, 2, 10}, {0,4,8},{0,6,6}rarr3+6+6+18` WAYS `{2,2,8},{2,4,6}rarr3+6=9` ways `{4,4,4}rarr1 ` WAY Total number of ways in which this can be DONE `=18+9+1=28` ways

Discussion

2331.	Which shopkeeper's profit kept increasing continuously over the given months?
Answer» R Q T U Answer :D

Discussion

2332.	A man can row 15 km/h in still water and he finds that it takes him twice as much time to row up than as to row down the same distance in the river.The speed of the current (in km/h)is:
Answer» 6 km/h 6.5 km/h 4.5 km/h 5 km/h Answer :D

Discussion

2333.	If the equations x^(2) + 2x -3=0 and x^(2) + 3x-m=0 have a common root, then the non- zero value of m.
Answer» ANSWER :m=4

Discussion

2334.	The radius ofa circle is increased by 2cm from 5 cm to 7 cm . What is the percentage changein area of the circle ?
Answer» `96%` `35%` `70%` `74%` ANSWER :A

Discussion

2335.	Raghupati goes at a speed of 60km/h. raghav goes at a speed of 36km/h Raja ram can go from Azamgarh to Bareilley in 2 hours. The distance between Azamgarh to bareilly is equal to the distance between Azamgarh to chandoli Raghav takes the same times travelling from bareilley to Azangar as from Bareilley to chandoli at his regular speed which is twice the speed of raja ram. what is the distance between Azamgarh and Chandoli?
Answer» 60km 27km 36km 18km Answer :C

Discussion

2336.	Raghupati goes at a speed of 60km/h. raghav goes at a speed of 36km/h Raja ram can go from Azamgarh to Bareilley in 2 hours. The distance between Azamgarh to bareilly is equal to the distance between Azamgarh to chandoli Raghav takes the same times travelling from bareilley to Azangar as from Bareilley to chandoli at his regular speed which is twice the speed of raja ram. How much time will Raghupati take to complete a round trip of the three cities?
Answer» 1 H 12 min 1 h 48 min 1 h 30 min 1 h 36 min Answer :B

Discussion

2337.	The length of the diagonal of a square is 8 cm. Find its area (incm2)
Answer» 25 64 32 16 Answer :B

Discussion

2338.	After selling 4 article for Rs 1 a person incurred loss of 4 % if he had sold 3 article for Rs 1 his profit would be?
Answer» 20% 25% 27% 28% ANSWER :0.28

Discussion

2339.	Rate of income tax is increased by 19% . Net Income is decreased by 1% . Find the rate of income tax
Answer» ANSWER :`5%`

Discussion

2340.	If m^n - n^m = (m + n), (m, n) in prime numbers, then what can be said about m and n:
Answer» a. m , N are only EVEN integers b. m, n are only odd integers C. m is even and n is odd d. None of these ANSWER :C

Discussion

2341.	A bagcontains8 redand 4greenballs. Findthe probabiltythat allthe4 ballsdrawnare redwhenfourballsare drawnat random .
Answer» `17/32` `14/99` `7/12` NONE of these Answer :B

Discussion

2342.	If (x+y)=8 and xy=15 then the value of (x^3-y^3) is :
Answer» 120 60 98 82 Answer :C

Discussion

2343.	80 litres of diesel is required to travel 800 km using a 800 cc engine. If the volume of diesel required to cover a distance varies directly as the capacity of the engine, then how many litres of diesel is required to travel 1000 kms using 1200 cc engine ?
Answer» A) 120 lit B) 140 lit C) 110 lit D) 150 lit Answer :`90^(@)`

Discussion

2344.	If A and Bbe twomutuallyexclusive eventsin a samplespacesuchthat,P(A)= 2/5 and P(B)= 1/2then findP( A nn barB ):
Answer» `1/5` `2/5` `4/15` `3/10` ANSWER :B

Discussion

2345.	Sum of n terms of the series log_a + log((a^2)/(b)) + log((a^3)/(b^2)) + log ((a^4)/(b^3)) + ... is :
Answer» `LOG{a^n/B^(n-1)}^(n//2)` `log{a^(n+1)/b^(n-1)}^(n//2)` `log{a^n/b^n}^(n//2)` `log{a^(n+1)/b^n}^(n//2)` ANSWER :B

Discussion

2346.	ABCDEF is a regular hexagon of side 6 cm. What is the area of triangle BDF ?
Answer» `32sqrt(3) CM^(2) ` `27 sqrt(3) cm^(2) ` `24 cm^(2) ` none of these ANSWER :B

Discussion

2347.	Find the soluations of the following equations. x^(2/3)-2x^(1/3)-15=0
Answer» SOLUTION :`-27` and 125

Discussion

2348.	In the given figure,AB\\CD. If angleCAB =80 degree and angleEFC =25 degree, then angleCEF is equal to
Answer» `65^@` `55^@` `45^@` `75^@` ANSWER :B

Discussion

2349.	In the previous question, minimum how many shoes must be drawn out to get at least 1 pair of either black or white shoes?
Answer» 15 18 16 22 Answer :C

Discussion

2350.	A factory produces 3 types of toys in the ratio 5 : 4 : 2. 10%of the produced toys are destroyed. 40% , 30%and 20% of the remaining toys are exported. Domestic consumption is what percent of total production of toys.
Answer» ANSWER :`60(6)/(11)%`

Discussion

Explore topic-wise InterviewSolutions in .

The present population of a city is 18000. If it increases at the rate of 10% per annum, its population after 2 years will be:

Solve sqrt(x+5) + sqrt(5-x) = 4

The percentage decrease in production of rice from 1929-30 to1949-50?

A bag contains 480 coins of 50p, 25p, 10p and the ratio of their value is 5: 3:1. How many coins of these three type?

Find the maximum value of 13-4x-x^(2)

If the price of milk is increased by 35%by how much a lady must reduced her consumption so that her expenditure is increased only by 8% .

A={2,3,5,7,11,...89,97} B={4,6,8,10,12,...98,100} C={3,9,15,21,27,33...,99} If a least and a greatest element of Set C are transferred from Set C to Set A then the average of Set A :

If three positive real numbers a,b,c, are in A.P. such that a*b*c=4 , then the minimum value of b is :

If A+B=C and tanA=ktanB, and A-B=phi, then sinC=?

The ratio of the angle angleA" and "angle B of a non-square rhombus ABCD is 4 : 5, then the value of angleC is :

Two persons A and B throw a die alternately till one of them gets athree and wins the game. Find their respectively probabilities of winning,if a begins.

The sum of n terms of the series 1+(1+3)+(1+3+5)+ . . ., is

f_(n)={{:(f_(n-1)" if n is even"),(2f_(n-1)" if n is odd"):} and f_(0)=1, find the value of f_(16).

A quadratic equation ax^2+bx+c=0 may have

If the banker's gain is180 at a bill due 6 yr hence at 10% per annum, find the banker's discount.

If perimeterof a Rhombus is 150 cm. If one diagonalis 25 cm find otherdiagonal and area :

A person purchases some article at the rate of 4 articles for rupees 5 and sells them at the rate of 5 articles for rupees 4. Find the total profit or loss in %.

The number of two digit prime numbers, with distinct digits, on being reversed they give again the prime number is :

Length of a river is 8 km. Speed of boat in still water is 6 km/h . boat takes 3 hours to go and come back. Find the speed of stream.

Twodiceare rolledsimultaneously . Find theprobability of Getting the sumasa primenumber .

A number increased by 37.5% gives 99, the number is :

If books bought at price from Rs. 150 to Rs. 300 are sold at prices ranging from Rs. 250 to Rs. 350. What is the greatest possible profit that might be made in selling 15 books?

What will be the true discount for the present worth of6000 for a period of 9 months at 12% per annum?

How many6 digit telephonenumberscan beconstructedwith thedigits 0,1,2,3,4,5,6,7,8,9 ifeachnumber startswith35and nodigitappearsmorethanonce ?

Anu's present age is 9 years more than that of what Raj's age will be after five years. Raj's present age is seven years more than that of what Renu's age was 4 years ago. Renu's present age is 19 years. What will be Anu's age after 5 years ?

Ifsin^(8)theta+cos^(8)theta-1=0 , what is thevalue ofcos^(2)thetasin^(2)theta (ifthetane0or(pi)/(2)) ?

Find the number of ways in which you can distribute 12 chocolates among 3 kids, such that each kid gets the odd number of chocolates.

Find the number of ways in which you can distribute 12 chocolates among 3 kids, such that each kid gets the even number of chocolates.

Which shopkeeper's profit kept increasing continuously over the given months?

A man can row 15 km/h in still water and he finds that it takes him twice as much time to row up than as to row down the same distance in the river.The speed of the current (in km/h)is:

If the equations x^(2) + 2x -3=0 and x^(2) + 3x-m=0 have a common root, then the non- zero value of m.

The radius ofa circle is increased by 2cm from 5 cm to 7 cm . What is the percentage changein area of the circle ?

The length of the diagonal of a square is 8 cm. Find its area (incm2)

After selling 4 article for Rs 1 a person incurred loss of 4 % if he had sold 3 article for Rs 1 his profit would be?

Rate of income tax is increased by 19% . Net Income is decreased by 1% . Find the rate of income tax

If m^n - n^m = (m + n), (m, n) in prime numbers, then what can be said about m and n:

A bagcontains8 redand 4greenballs. Findthe probabiltythat allthe4 ballsdrawnare redwhenfourballsare drawnat random .

If (x+y)=8 and xy=15 then the value of (x^3-y^3) is :

80 litres of diesel is required to travel 800 km using a 800 cc engine. If the volume of diesel required to cover a distance varies directly as the capacity of the engine, then how many litres of diesel is required to travel 1000 kms using 1200 cc engine ?

If A and Bbe twomutuallyexclusive eventsin a samplespacesuchthat,P(A)= 2/5 and P(B)= 1/2then findP( A nn barB ):

Sum of n terms of the series log_a + log((a^2)/(b)) + log((a^3)/(b^2)) + log ((a^4)/(b^3)) + ... is :

ABCDEF is a regular hexagon of side 6 cm. What is the area of triangle BDF ?

Find the soluations of the following equations. x^(2/3)-2x^(1/3)-15=0

In the given figure,AB\\CD. If angleCAB =80 degree and angleEFC =25 degree, then angleCEF is equal to

In the previous question, minimum how many shoes must be drawn out to get at least 1 pair of either black or white shoes?

A factory produces 3 types of toys in the ratio 5 : 4 : 2. 10%of the produced toys are destroyed. 40% , 30%and 20% of the remaining toys are exported. Domestic consumption is what percent of total production of toys.

If three positive real numbers a,b,c, are in A.P. such that abc=4 , then the minimum value of b is :