8677 + Interview Questions in Maths in Class 14 Page 68 InterviewSolution

3351.	Two-thirds of a consignment was sold at a profit of 6% and the rest at a loss of 3%. If there was an overall profit of Rs 540, find the value of the consigment.
Answer» ANSWER :RS. 18000

Discussion

3352.	Romeo and Juliet write love-letters to none but to each other. In a given period of time, Romeo writes 4 letters and Juliet writes 2 letter. During this period, at any given point of time Romeo writes greater than or equal to the number of letter written by Juliet. Find the number of ways of writing love-letters to each other.
Answer» 10 8 6 9 Answer :D

Discussion

3353.	Find the reflection of a point (3,4) in line x=-2
Answer» ANSWER :`y=\|x\|=x`

Discussion

3354.	Two circles of radii 8 cm and 2 cm respectively touch each other externally at the point A. PQ is the direct common tangent of these two circles of centres O_(1) and O_(2) respectively. The length of PQ is equal to :
Answer» 4 cm 8 cm 2 cm 3 cm ANSWER :B

Discussion

3355.	Answer the question based on the following information. The following table gives the traiff (in paise per kilo-litre) levied by the Lucknow jal Nigam in 2003-04 in four sector and the region within them. (Each sector is divided in 5 regions). The table gives the percentage change in the tariff as compared to 2000-01. What was the approximate average tariff in region 2 in 2000-01 ?
Answer» 450 675 575 525 Answer :C

Discussion

3356.	If (a-b)/(c ) + (b+c)/(a)+ (c-a)/(b)=1 and (b+ c ne a)
Answer» `(1)/(a)= (1)/(B)+(1)/(C )` `(1)/(b)= (1)/(a) + (1)/(c )` `(1)/(c )= (1)/(a) + (1)/(b)` NONE of these Answer :A::B::C

Discussion

3357.	A and B can do a work in 20 days and 30 days respectively. A and B work on alternate days. Find thenumber of days to complete the work
Answer» ANSWER :115 DAYS

Discussion

3358.	A watch which gains uniformly is 5 min slow at 7 o clock in the morning on Sunday and it is 5 min 48s fast at 7 pm on following Sunday which day was it correct
Answer» a. FRIDAY B. SATURDAY C. Tuesday d. Wednesday ANSWER :D

Discussion

3359.	There are two mixtures containing Gold, silver and platinum. First mixture contains 40% platinum and second mixture contains 26% silver. The percentageof gold in both mixtures are same. If 150 kg of first mixture is mixed with the 250 kg of second mixture, then the percentage of Gold in resultant mixture is30%. Find the quantity of platinum in the resultant mixture.
Answer» ANSWER :170 KG

Discussion

3360.	If sin A = n sin B then (n-1)/(n+1) tan (A+B)/(2) is equal to
Answer» `SIN((A-B)/(2))` `tan((A-B)/(2))` `cot((A-B)/(2))` `tan((A+B)/(2))` ANSWER :A::B

Discussion

3361.	Study the following graph carefully and answer the questions that follow What isthe ratio of the average of failed girls and that of failedboys ?
Answer» NONE of the above `23:19` `21:17` `7:8` ANSWER :A

Discussion

3362.	Due to an increment of 20%in the price of sugar, a person is able to buy 5 kg less for Rs. 600. Find the original and increased price of sugar.
Answer» ANSWER :RS. 20 , Rs. 24

Discussion

3363.	From 6 different novels and 3 different dictionaries, 4 novels and 1 dictionary are to be selected and arranged in a row on a shelf so that the dictionary is always in the middle. Then the number of such arrangement is:
Answer» A.At least 500 but LESS than 750 B. At least 750 but less than 1000 C.At least 1000 D. Less than 500 Answer :B

Discussion

3364.	What is the least possible number which when divided by 13 leaves the remainder 3 and when it is divided by 5 it leaves the remainder 2.
Answer» Solution :LET the REQUIRED NUMBER be N then it can be expressed as follows N = 13k + 3 .........(i) ANDN = 5l + 2 .....(ii) where k and l are the quotients belong to the set of integers. Thus5l + 2 = 13k + 3 `rArr` 5l - 13k = 1 `rArr` 5l = 13k + 1 `rArr` l =`(13k + 1)/5`

Discussion

3365.	cos^(2)alpha+cos^(2)(alpha+120^(@))+cos^(2)(alpha-120^(@))=?
Answer» `(3)/(2)` 1 `(1)/(2)` 0 Answer :B::C

Discussion

3366.	Ruchi invested? 1600 at the rate of compound interest for 2 yr. She got ? 1764 after the specified period. Find the rate of interest.
Answer» ANSWER :0.05

Discussion

3367.	A busmeets an auto at 10:00 am while goingon the same way towards Haridwar. The Bus reach at Haridwar at 12:30 p.m. and take 1 hour rest there. Bus return the same way and meet the same auto half hour later. At what time the Auto will reach at Haridwar?
Answer» ANSWER : 3 PM

Discussion

3368.	If a sum of money double itself in 4 years at S.I. then the rate of interest per annum is?
Answer» a. 25% B. 100% c. 50% d. NONE of these Answer :B

Discussion

3369.	Six wome and 10 children together take six days to complete a piece of work. How many days will j10 children take to complete the piece of work if six women together cam complete the same piece of work in 10 days ?
Answer» 21 18 12 15 Solution :`therefore` Work done by 6 WOMEN in 1 day `= 1/10` Work done by 6 women in 6 days `= 6/10 = 3/5` `therefore` Remaining work `= (1- 3/5)=2/5 ` which is COMPLETED by 10 childrenin 6 days. `therefore` Work done by 10 children in 1 day `= 2/(5xx6)= 1/15` `therefore` Time taken in completing the work = 15 days. Alternate Method: Number of days required `= (6XX10)/4 = 15` days

Discussion

3370.	If log(m+n) = log m + log n, then:
Answer» mn=1 `m=-N` `m/(m-1)=n` NONE of these ANSWER :C

Discussion

3371.	If m=(4pq)/(p+q), then the value of (m+2p)/(m-2p)+(m+2q)/(m-2q)
Answer» 2 4 `(2mpq)/((p+q))` NONE of these Answer :A

Discussion

3372.	A company has 12 machines of equal efficiency in its factory. The annual manufacturing expenses are Rs. 24,000 and the establishment charges are Rs. 10,000. The annual output of the company is Rs. 48,000. The annual output and manufacturing costs are directly proportional to the no. of machines while the share holders get the 10% profit, which is directly proportional to the annual output of the company. If 8.33% machines remained close throughout the year. Then the percentage decrease in the amount of Share holders is :
Answer» `16.66%` `14.28%` `8.33%` NONE of these Answer :B

Discussion

3373.	If a+b+c= 0 find a^(3) + b^(3) + c^(3) + 3abc
Answer» ANSWER :6ABC

Discussion

3374.	If the selling price of a mat is five times the discount offered and if the percentage of discount is equal to the percentage profit, find the ratio of the discount offered to the cost price.
Answer» a.7:30 b.31:6 c. 11:30 d.6:31 Solution :Total cycles manufactured byX=17600 Total cycles manufactured byZ=16000 CYCLE remained with `X=17600-10500=7040` Cycle remained with `Z=16000-12800=3200` Cycles delivered by MANUFACTURE X or number of cycles DEMANDED from manufacturer X `=50xx7040)//100=3520` Similarly, New number of cycles supplied by `Z=(3200xx10)/(100)=320` Total revenue of X and Z `=(10560+3250+12800+320)xx8000=21.76` crore. Total manufacturing cost by X and Z `=(17600+16000)xx6000=20.16` cr. Required `%=(21.712)/(20.16)xx100~~107%`

Discussion

3375.	population of two small cities A and C are 16,000 and 12,800 respectively . Ratio of population of city A to that of B is 4:5. Three manufactures, X,Y and Z supply cycles in these three cities. These manufactured cyceles in the ratio of 22:19:20(X:Y:Z) by assuming that each person will buy one cycle and 60% 75^ and 80% of the cycle manufactured by X,Y and Z. respectively are sold and selling price of each cycle is Rs. 8,000. (a) "Supply"=("Revenu")/("Selling price of a cycle") (b) "Demand %"=("Number of cycles ordered by customers")/("Total number of cycles remainded with manufacturer") What is th e profit earned by manufacturer Z from city A, if total revenue earhed by all three manufacturers in city A is 9.6 crore and number oc cycles supplid by all of them are equal and cost price of each cycle is 6000 ?
Answer» 90 lakh 50 lakh 75 lakh 80 lakh Solution :Total reveny `=9.6 CR` Total cycle supplied `=("Revenue")/(8000)` `rArr (9.6 cr)/(8000)=12000` Cycles supplied by `Z=(1200)/(3)=4000`

Discussion

3376.	population of two small cities A and C are 16,000 and 12,800 respectively . Ratio of population of city A to that of B is 4:5. Three manufactures, X,Y and Z supply cycles in these three cities. These manufactured cyceles in the ratio of 22:19:20(X:Y:Z) by assuming that each person will buy one cycle and 60% 75^ and 80% of the cycle manufactured by X,Y and Z. respectively are sold and selling price of each cycle is Rs. 8,000. (a) "Supply"=("Revenu")/("Selling price of a cycle") (b) "Demand %"=("Number of cycles ordered by customers")/("Total number of cycles remainded with manufacturer") What is the revenue generatd from city B, if each person of city A and C purchased a cycle ?
Answer» `8.424` crore `4.768` crore `6.348` crore `9.00` crore Solution :Total populaton in A and C is 16000 and 12800 POPULATION in `B rarr (16000)/(4)xx5=20,000` CYCLE manufactured by X,Y and Z =16000+12800+2000=48000 Total cycle manufactured by X `=(48800)/(61)xx22=17600` By Y `=(48800)/(61)xx19=15200` By `Z=(48800)/(61)xx20=16000` Cycle supplied by `X=(60)/(100)xx17600=10560` By `Y=(75)/(100)xx15200=11400` By `Z=(80)/(100)xx16000=12800` Cycle supplied by B `=10560+11400+12800-16000-12800=5960` Revenue `=8000xx5960=47680000=4.768` cr.

Discussion

3377.	A function f(x)=log(g(x)), where g(x) is any function of x. For what value of g(x) is the function of f(x)=g(x)?
Answer» a. `g(x)=E` b. `g(x)=e^(x)` C. `g(x)=logx` d. NONE of these Answer :D

Discussion

3378.	A survey among 151 persons is-conduced regarding their favourite channel of radio - Radio city Radio mirchi and Radio life. It was found that every listener of Radio marchalso listen either Radio city or Radio life. The number of persons listening all the radio channels is the same as the number of persons who listen none of the chnnels 55 persons listen exactly two channels and 70 persons listen only one channel. The number of people who listen all the three channels ?
Answer» 16 13 9 data insufficient Answer :B

Discussion

3379.	Three numbers form an increasing G.P. . If the middle number is doubled, then the new numbers are in A.P. The common ratio of the G.P is:
Answer» a)`2-sqrt3` B)`2+sqrt3` C)`sqrt3-2` d)`3+sqrt2` ANSWER :B

Discussion

3380.	The sum of factors of 19600 is:
Answer» 54777 33667 5428 none of these Solution :SINCE 19600 = `2^4xx5^2xx7^2` `THEREFORE` Sim of all FACTORS of 19600 = `((2^(4+1)-1))(5^(2+1)-1)(7^(2+1)-1)/(2-1)(5-1)(7-1) = (31xx124xx342)/(1xx4xx6) = 5477`

Discussion

3381.	(0.0144)^(1//2)+(2.5)^(2)=?
Answer» 1. 5 2. 11 3. 6 4. 9 Solution :`0.12+6.25=6.37~~6`

Discussion

3382.	There are n rectangles each with area 200 cm^(2). If the dimensions of each n rectangles are in integers then the valu of n is :
Answer» 4 6 12 none of these Answer :B

Discussion

3383.	A takes 4 hours more than that of A and B working together to finish certain piece of work. While B takes 9 hours more than that of A and B working together. Then find in how many hours A and B working together can finish the work?
Answer» ANSWER :6 HOURS

Discussion

3384.	A six digit number is such that every alternate digit is a prime digit and the three leftmost digit forms a G.P. while last three digits (i.e. Hundreds, tens and unit) form an A.P. If it is expressed as pqrstu, where p + p + r=u, q + r = t, p = r=s, r/t = 2/3 and p != q != r != s != t != u . Then the sum of all the digits must be :
Answer» 25 16 21 can't be DETERMINED ANSWER :A

Discussion

3385.	A boat sails downstream from point A to point B, which is 10 km away from A and then returns to A. If the actual speed of the boat (in still water) is 3 km/h, the trip from A to B takes 8 hours less than that from B to A. What must the actual speed of the boat for the trip from A to B to take exactly 100 minutes?
Answer» SOLUTION :N/A

Discussion

3386.	If a hemispherical dome has an inner radius 21 m then its volume ( in m^(3)) is :
Answer» `4910 m^3` `18354 m^3` `19404 m^3` NONE of the above Answer :C

Discussion

3387.	If x^2+2(a+1)x+9a-5=0 has only negative roots then a
Answer» `ple0` `ple-6` `pge6` `pge36` ANSWER :C

Discussion

3388.	A, B and C are running on a circular track of radius 63 m. B and C run in the opposite direction of A. If the speed of A, B and C is 30, 25 and 14 m/minutes respectively then find when will they meet together first time and when will they together meet at the starting point?
Answer» SOLUTION :N/A

Discussion

3389.	If 3x + 2y = 11 & kx + 4y = 22 are coincide lines find value of k.
Answer» 5 6 0 `-6` ANSWER :B

Discussion

3390.	In what time would a sum double itself at 12 1/2 % per annum simple interest ?
Answer» 7 yr 8 yr 9 yr 12 yr Answer :D

Discussion

3391.	AB is diameterangle ABC = 65^(@) angle CAD = 45^(@) angle DCA =
Answer» 15 20 25 30 Answer :`ANGLE DCA = 20^(@)`

Discussion

3392.	A car is moving on a straight road covers two third of the distance with a speed of 40 km/h and the rest with a speed of 20 km/h. The average speed of the car is
Answer» 60 20 40 30 Answer :C

Discussion

3393.	Which of the following is/are the solution(s) ofx^2-7xx+12=0
Answer» 2 3 4 both 3 and 4 ANSWER :D

Discussion

3394.	A car travels 140 km partly at a speed of 6 km/h and the remaining at a speed of 10 km/h. If the speeds, are reversed then it travels 8 km more in the same time. Then find the time takes by car to travel 140 km and also find what was the average speed of the car?
Answer» ANSWER : 18 H, 70/9 km/h

Discussion

3395.	The remainder obtained when 23^3 + 31^3 is divided by 54 :
Answer» 0 1 3 can't be determined Answer :A

Discussion

3396.	If a^(3) + b^(3)=0 find a+b=
Answer» `SQRT(3ab)` `sqrt(2ab)` 3ab `sqrt(4AB)` Answer :A::B::C

Discussion

3397.	x^2+2x+5gt0
Answer» (A) `(-oo,oo)` (B) `[-oo,oo]` (C) `(-oo,1)UU(3OO)` (D) `(-oo,-2)uu(-5,oo)` ANSWER :A

Discussion

3398.	Average of 17 number is 63. Average of first 9 number is 64. Average of last 9 number is 61. Find 9^(th)number
Answer» ANSWER :54

Discussion

3399.	In what time would 5000 amount to 5800 at 8% per annum simple interest ?
Answer» 2 3 4 5 Answer :A

Discussion

3400.	If the average of 64 innings of a batsman is 62. If highest and lowest innings are excluded then the average of remaining 62 innings is 60. If the difference between highest and lowest innings is 180 runs. Find his highest and lowest score.
Answer» ANSWER :214,34

Discussion

Explore topic-wise InterviewSolutions in .

Two-thirds of a consignment was sold at a profit of 6% and the rest at a loss of 3%. If there was an overall profit of Rs 540, find the value of the consigment.

Find the reflection of a point (3,4) in line x=-2

Two circles of radii 8 cm and 2 cm respectively touch each other externally at the point A. PQ is the direct common tangent of these two circles of centres O_(1) and O_(2) respectively. The length of PQ is equal to :

If (a-b)/(c ) + (b+c)/(a)+ (c-a)/(b)=1 and (b+ c ne a)

A and B can do a work in 20 days and 30 days respectively. A and B work on alternate days. Find thenumber of days to complete the work

A watch which gains uniformly is 5 min slow at 7 o clock in the morning on Sunday and it is 5 min 48s fast at 7 pm on following Sunday which day was it correct

If sin A = n sin B then (n-1)/(n+1) tan (A+B)/(2) is equal to

Study the following graph carefully and answer the questions that follow What isthe ratio of the average of failed girls and that of failedboys ?

Due to an increment of 20%in the price of sugar, a person is able to buy 5 kg less for Rs. 600. Find the original and increased price of sugar.

From 6 different novels and 3 different dictionaries, 4 novels and 1 dictionary are to be selected and arranged in a row on a shelf so that the dictionary is always in the middle. Then the number of such arrangement is:

What is the least possible number which when divided by 13 leaves the remainder 3 and when it is divided by 5 it leaves the remainder 2.

cos^(2)alpha+cos^(2)(alpha+120^(@))+cos^(2)(alpha-120^(@))=?

Ruchi invested? 1600 at the rate of compound interest for 2 yr. She got ? 1764 after the specified period. Find the rate of interest.

A busmeets an auto at 10:00 am while goingon the same way towards Haridwar. The Bus reach at Haridwar at 12:30 p.m. and take 1 hour rest there. Bus return the same way and meet the same auto half hour later. At what time the Auto will reach at Haridwar?

If a sum of money double itself in 4 years at S.I. then the rate of interest per annum is?

Six wome and 10 children together take six days to complete a piece of work. How many days will j10 children take to complete the piece of work if six women together cam complete the same piece of work in 10 days ?

If log(m+n) = log m + log n, then:

If m=(4pq)/(p+q), then the value of (m+2p)/(m-2p)+(m+2q)/(m-2q)

If a+b+c= 0 find a^(3) + b^(3) + c^(3) + 3abc

If the selling price of a mat is five times the discount offered and if the percentage of discount is equal to the percentage profit, find the ratio of the discount offered to the cost price.

A function f(x)=log(g(x)), where g(x) is any function of x. For what value of g(x) is the function of f(x)=g(x)?

Three numbers form an increasing G.P. . If the middle number is doubled, then the new numbers are in A.P. The common ratio of the G.P is:

The sum of factors of 19600 is:

(0.0144)^(1//2)+(2.5)^(2)=?

There are n rectangles each with area 200 cm^(2). If the dimensions of each n rectangles are in integers then the valu of n is :

A takes 4 hours more than that of A and B working together to finish certain piece of work. While B takes 9 hours more than that of A and B working together. Then find in how many hours A and B working together can finish the work?

If a hemispherical dome has an inner radius 21 m then its volume ( in m^(3)) is :

If x^2+2(a+1)x+9a-5=0 has only negative roots then a

A, B and C are running on a circular track of radius 63 m. B and C run in the opposite direction of A. If the speed of A, B and C is 30, 25 and 14 m/minutes respectively then find when will they meet together first time and when will they together meet at the starting point?

If 3x + 2y = 11 & kx + 4y = 22 are coincide lines find value of k.

In what time would a sum double itself at 12 1/2 % per annum simple interest ?

AB is diameterangle ABC = 65^(@) angle CAD = 45^(@) angle DCA =

A car is moving on a straight road covers two third of the distance with a speed of 40 km/h and the rest with a speed of 20 km/h. The average speed of the car is

Which of the following is/are the solution(s) ofx^2-7xx+12=0

A car travels 140 km partly at a speed of 6 km/h and the remaining at a speed of 10 km/h. If the speeds, are reversed then it travels 8 km more in the same time. Then find the time takes by car to travel 140 km and also find what was the average speed of the car?

The remainder obtained when 23^3 + 31^3 is divided by 54 :

If a^(3) + b^(3)=0 find a+b=

x^2+2x+5gt0

Average of 17 number is 63. Average of first 9 number is 64. Average of last 9 number is 61. Find 9^(th)number

In what time would 5000 amount to 5800 at 8% per annum simple interest ?

If the average of 64 innings of a batsman is 62. If highest and lowest innings are excluded then the average of remaining 62 innings is 60. If the difference between highest and lowest innings is 180 runs. Find his highest and lowest score.