8677 + Interview Questions in Maths in Class 14 Page 98 InterviewSolution

4851.	A and B can do a piece of work in 20 days and 25 days. A start the work and they do this work in alternate days. In how many days will this work be completed ?
Answer» ANSWER :`22(1)/(5)` DAYS

Discussion

4852.	Hirabhai after marrying Hiraben settled in Hiranandini, Mumbai. He has 15 diamond rings and 5 daughters. Among his 5 daughters, he has only one daughter who is not twins. If the rings are distinct, find the number of ways of distributing these rings among his 5 daughters such that elder the daughter fewer the rings she gets. However none of them gets less than 1 and more than 5.
Answer» `(15!)/(3!xx(5!)^2)` `(15!)/((2!)^5 xx (5!)^2)` `(15!)/((2!)^2xx(3!)^2xx5!)` NONE of these Answer :D

Discussion

4853.	Hirabhai after marrying Hiraben settled in Hiranandini, Mumbai. He has 15 diamond rings and 5 daughters. Among his 5 daughters, he has only one daughter who is not twins. If the rings are identical, find the number of ways of distributing these rings among his 5 daughters such that elder the daughter fewer the rings she gets. However none of them gets less than 1 and more than 5.
Answer» 180 150 75 6 Answer :A

Discussion

4854.	Three circles touch each other externally. The distance between their centre is 5 cm, 6 cm and 7 cm. Find the radii of the circles :
Answer» 2 cm, 3 cm, 4 cm 3 cm, 4 cm, 1 cm 1 cm, 2.5 cm, 3.5 cm 1 cm, 2 cm, 4 cm Answer :A

Discussion

4855.	If x - (1)/(x) = 4 , then (x + (1)/(x)) is equal to
Answer» `5 SQRT2` `2 sqrt5` `4 sqrt2` `4 sqrt5` ANSWER :B

Discussion

4856.	A sequence a_1,a_2,a_3,.a_n of real numbers is such that a_1=0, \|a_2\|=\|a_1+1\|,\|a_3\|=\|a_2+1\|,gt,\|an\|=\|a_(n-1)+1\|. Prove that the arithmetic mean (a_1+a_2+……..+a_n)/n of these numbers cannot be les then - 1/2.
Answer» 44228 -1/2 1 can't be determind Answer :B

Discussion

4857.	If 3 men or 4 women can plough a field in 43 days, how long will 7 men and 5 women take to plough it?
Answer» 10 days 11 days 9 days 12 days Answer :D

Discussion

4858.	A factory employs skilled workers, unskilled workers and clerks in the proportion 8 : 5 : 1 and the wages of a skilled worker, an unskilled worker and a clerk are in the ratio 5 : 2 : 3. When 20 unskilled workers are employed, the total daily wages of all amount to Rs 3180. Find the daily wages paid to each category of employees.
Answer» `2100, 800, 280` `2400, 480, 300` `2400, 600, 180` `2200, 560, 420` Answer :C

Discussion

4859.	Find the value of :100% of 2 quintal
Answer» A) 1 QUINTAL B) 1.5 quintal C) 2 quintal D) 2.5 quintal Solution :2 quintal

Discussion

4860.	Find the number of different words that can be formed from 15 consonants and 5 vowels by taking 2 consonants and 4 vowels in each word.
Answer» 625 630 252 615 Answer :C

Discussion

4861.	A rectangular tank 25 cm long and 20 cm wide contains waterto a depth of 5 cm . A metal cube of side 10 cm is placed in the tank so that one face of the cube rests on the bottom of the tank . Find howmany litres of water must be poured into the tank so as to just coverthe cube ?
Answer» 1 L 1.5 L 2L 2.5 L ANSWER :B

Discussion

4862.	The total number of students in a school was 660. The ratio of number of boys and girls was 13 : 9. After some days, 30 girls joined the school and some boys left. The new ratio of number of boys and girls became 6:5. Find the number of boys who left the school.
Answer» 50 40 60 30 Answer :C

Discussion

4863.	If x=sectheta-tantheta, and y=cosectheta+cottheta, then
Answer» `xy+1=x-y` `xy+1=x-2y` `xy+1=x+y` `xy+1=y-x` ANSWER :D

Discussion

4864.	Fourcardsaredrawnat randomfroma packof 52cardsfindthe probabilityof gettingall thefourcardsof samenumber .
Answer» `17/1665` `1/20825` `7/25850` NONE of these Answer :B

Discussion

4865.	A cone of height 24 cm has a curved surface area 550 cm2. What is the ratio of its radius to slant height? (Take pi = 22/7)
Answer» 3.5 CM 2 cm 2.1 cm 4 cm ANSWER :C

Discussion

4866.	Find the value of p for which the quadratic equation x^(2)+p(4x+p-1)+2=0 has equal roots :
Answer» `-1,2/3` 3,5 `1,-4/3` `3/4,2` ANSWER :A

Discussion

4867.	((cottheta)/(cottheta-cot3theta)+(tantheta)/(tantheta-tan3theta))=?
Answer» 0 1 2 4 Answer :B

Discussion

4868.	In the Ruchika's wallet there are only ₹ 16, consisting of 10 paise, 20 paise and ₹ 1 coins. The ratio of no. of coins of 10 paise and 20 paise is 6 : 1. The minimum no. of ₹ 1 coin is :
Answer» 5 12 4 8 Answer :C

Discussion

4869.	Raman adds 12% of his salary in PPF. 3/8th of the remaining amount is spent on clothes and the difference between PPF and clothes expenses is Rs. 21000 . Remaining amount is spent on house rent and other expenses . If house rent expenses is Rs. 3000 less than other expenses, then what is the house rent expenses ?
Answer» Rs. 32000 Rs. 30000 Rs. 26000 Rs. 28000 Solution :(c ) According to question , 12% of the salary is ADD in PPF . Remaining part =(100-12)=88% Amount spent on CLOTHES `=(3)/(8)xx88=33%` Difference between PPF and cloth expenses=(33-12)=21% `:'` 21% of salary =21,000 `:.` TOTAL salary=100000 Other expenses= House rent expenses +3000. House rent expenses + other expenses =(100-33-12)%=55% `:.` 55% of salary=55000 House rent expenses+ House expenses +3000=55000 `2 xx ` House rent expenses =55,000-3000=52,000 `:.` House rent expenses `=(52,000)/(2)=26,000`

Discussion

4870.	24%of 3580 + 799.99 div (1000)/(25) = ?
Answer» ANSWER :920

Discussion

4871.	Solve:1/(a+b+x) = 1/a + 1/b + 1/x
Answer» `(a+B)^(2)` `a^(2)+b^(2)` `(a-b)^(2)` 4ab Answer :B

Discussion

4872.	If x:y::5:2, then (x ^(3) - y ^(3))/( x ^(3) + y ^(3)) = ?
Answer» `(117)/(133) ` `(114)/(132)` `(129)/(144)` `(168)/(135)` ANSWER :A

Discussion

4873.	A shopkeeper sells T.V. for Rs 17940 after giving discounts of 8% and earns profit of 19.6% . If he had not given the discount then find its profit %?
Answer» ANSWER :0.3

Discussion

4874.	If cos^(2)alpha+cos^(2)beta=2, the value of tan^(3)alpha+sin^(5)beta is.
Answer» a) 0 b) 1 c) `-1` d) `(1)/(SQRT(3))` ANSWER :A

Discussion

4875.	Two trains of lengths 75 m and 95 m are moving in the same direction at 9m/s and 8m/s, respectively. Find the time taken by the faster train to cross the slower train.
Answer» ANSWER :`=170 s`

Discussion

4876.	A tap can fill a bath in 20 minutes and another tap can fill it in 30 minutes . Amit opens both the taps simultaneously. When the both should have been full, he finds that the waste pipe was open. He then closes the waste pipe and in another 4 minutes the bath is full. In what time would the waste pipe empty it?
Answer» 35 MINUTES 38 minutes 36 minutes 39 minutes Answer :C

Discussion

4877.	How many words can be formed out of the letters of the word education such that vowels occupy the odd positions?
Answer» ANSWER :A

Discussion

4878.	The bar graph shown below reveals the data about the no. of students in different disciplines of MBA at a prominent Business School in India. In the session of 2002-03 what percentage of MBA students are studying International Business ?
Answer» `13.33%` `25%` `6.66%` `24%` ANSWER :A

Discussion

4879.	A trader mixes 26 kg of rice at Rs. 20 per kg with 30 kg of rice of other variety at Rs. 36 per kg and sells the mixture at Rs. 30 per kg. His profit percent is:
Answer» A. 15% B. 3% C.5% D. NONE of the GIVEN options Solution :Requird DIFFERNCE =98-75=23

Discussion

4880.	Total number of boys and girsl visited the place on Monday and Tuesday together is ho much more than the total number of boys and girsl visited the place on Thursday and Friday together ?
Answer» None of the GIVEN options 108 126 135 Solution :NUMBER of boys who use their coupns in HOTEL bookingwhich doesn't belong so city A `=180xx(7)/(100)=135`

Discussion

4881.	Every year before the festive season,a shopkeeper increases the price of the product by 35% and then introduce two successive discount of 10% and 15% respectively.what is percentage loss and percentage gain ?
Answer» A. 3.27 % gain B. 4.15 % gain C. 4.15 % loss D.3.27 % loss Solution :Boys hwo use their COUPONS in travelling `147xx(7)/(4)=135` GIRLS who use their coupons in travelling `=75xx(9)/(5)=135` Total NUMEBR of people hwo use their coupon in travelling `=257+135=392`

Discussion

4882.	There are 500 coupons which can be used in Shopping and Hotel booking. Ratio between Boyes to Girls who use their coupons in Shopping is 72 more than number of girls who use their coupon in Hotel booking. Total number of boys who use their coupon in Shopping and Hotel number of boys whouse their cuopon in Shopping and Hotel booking together is 154 more than total number of girls who use their coupon in Shooping and Hotel booking together . Out of Boys use their coupons in Hotel booking , 25% belong to cityA, then find number of Boys who use their coupons in Hotel booking which doesn't belong to city A?
Answer» 0.78 0.82 None of the given OPTIONS 0 Solution :Required `%(147)/(180)xx100~~82%`

Discussion

4883.	Find the unit digit of (12)^(78)
Answer» Solution :The unit digit of `(12)^78` will be same as `(2)^78`. Now SINCE we KNOW that the cyclic PERIOD of unit digit of 2 is 4. The remainder when 78 is divided by 4 is 2. Hence the unit digit of `2^78` will be same as `2^2` which is 4. Thus the unit digit of `12^78` is 4.

Discussion

4884.	Find the number of isosceles trinagles with integers sides, if no side exceeds 2014 unit.
Answer» 2426980 402800 2028098 3120600 Answer :C

Discussion

4885.	Which is the least number which when doubled will be exactly divisible by 12, 18, 21 and 30?
Answer» 2520 1260 630 196 Answer :B

Discussion

4886.	ITC sells one product at a profit of 20% another at a loss of 20% at the same selling price. If SP of each article be Rs. 200, what is the amount of loss?
Answer» A. RS. 10 B. Rs. 16 C. Rs. 16.66 D. NONE of these Answer :C

Discussion

4887.	If the roots of 10x^3-cx^2-54x -27 0 are in harmonic progression, then find c and all the roots.
Answer» 2 6 9 none of these Answer :C

Discussion

4888.	Kavita was supposed to multiply a natural number by 23. Instead, she multiplied that natural number by 32 and thus her result got increased by 315. The original product was :
Answer» 135 805 775 data insufficient Answer :B

Discussion

4889.	What is the overall percentage marks obtained by D in History and Geography together?
Answer» `73.40` `72.80` `70.50` `68.80` ANSWER :B

Discussion

4890.	The ratio of efficiencies of two filling pipes is 4 : 5. There is a third emptying pipe which efficiency is two third of the average efficiency of first two filling pipes can empty a filled tank in 36 minutes. In how much time both the filling pipes can fill the tank when it is empty?
Answer» A) 16 min B) 12 min C) 14 min D) 20 min Answer :`sin x lt 1 `

Discussion

4891.	a, b, c are the lengths of three sides of a DeltaABC. If a, b, c are related by the relation a^(2)+b^(2)+c^(2)=ab+bc+ca, then the value of (sin^(2)A+sin^(2)B+sin^(2)C) is
Answer» `(3)/(4)` `(3)/(2)` `(3SQRT3)/(2)` `(9)/(4)` ANSWER :D

Discussion

4892.	A person invests money in two different schemes for 5 years and 8 years at 12% and 10% simple interest, respectively. At the completion of each scheme he gets the same interest. The ratio of his investments is
Answer» 4 : 3 1 : 3 1 : 2 2 : 4 Answer :B

Discussion

4893.	Solve the following expression : 8 3/7 - 6 1/5
Answer»

Discussion

4894.	If p = log_(3)5 and q= log_(17) 25 which one of the following is correct?
Answer» `pltq` p=q `pgtq` can't SAY ANSWER :C

Discussion

4895.	A contract to be completed in 46 days and 117 men were set work, each working 8 hours per day. After 33 day, 4/7th of the work is completed. How many additional men may be employed so that the work may be completed in time, each man now working 9 hours a day ?
Answer» 80 81 84 85 Answer :81

Discussion

4896.	Convert (1001011001)_2 to octal.
Answer» SOLUTION :

Discussion

4897.	Three persons start walking together and their steps measure 40 cm , 42 cm and 45 cm respectively . What is the minimum distance each should walk so that each can cover the same distance in complete steps ?
Answer» 25 m 20 cm 50 m 40 cm 75 m 60 cm 100 m 80 cm Solution :Required MINIMUM distance = L.C.M of 40 , 42 and 45. L.C.M = `2 XX 2 xx 2 xx 5 xx 3 xx 3 xx 7 = 2520` Required distance = 2520 cm = 25 m 20 cm

Discussion

4898.	A function f(x)=log(g(x)), where g(x) is any function of x. If g(x)=e^(x). Then f(f(x)) is equal to :
Answer» E `e^x` LOG x none of these Answer :D

Discussion

4899.	A monkey wanted to climb on the smooth vertical pole of height of 35 metre. In the first one minute he climbs up 5 meter in the next one minute he slips down by 2 metre. Further he repeated the same process till he has reached on the top of the pole. How many times it has to go upward to reach the apex of the pole ?
Answer» 35 12 11 can't say Answer :C

Discussion

4900.	A monkey wanted to climb on the smooth vertical pole of height of 35 metre. In the first one minute he climbed up 5 metre in the next on minute he slipped down by 2 metre. Further he repeated the same process till he had reached on the top of the pole: the minimum time required for this job is :
Answer» 21 minute 22 minute 24 minute none of these Answer :A

Discussion

Explore topic-wise InterviewSolutions in .

A and B can do a piece of work in 20 days and 25 days. A start the work and they do this work in alternate days. In how many days will this work be completed ?

Three circles touch each other externally. The distance between their centre is 5 cm, 6 cm and 7 cm. Find the radii of the circles :

If x - (1)/(x) = 4 , then (x + (1)/(x)) is equal to

A sequence a_1,a_2,a_3,.a_n of real numbers is such that a_1=0, |a_2|=|a_1+1|,|a_3|=|a_2+1|,gt,|an|=|a_(n-1)+1|. Prove that the arithmetic mean (a_1+a_2+……..+a_n)/n of these numbers cannot be les then - 1/2.

If 3 men or 4 women can plough a field in 43 days, how long will 7 men and 5 women take to plough it?

Find the value of :100% of 2 quintal

Find the number of different words that can be formed from 15 consonants and 5 vowels by taking 2 consonants and 4 vowels in each word.

A rectangular tank 25 cm long and 20 cm wide contains waterto a depth of 5 cm . A metal cube of side 10 cm is placed in the tank so that one face of the cube rests on the bottom of the tank . Find howmany litres of water must be poured into the tank so as to just coverthe cube ?

The total number of students in a school was 660. The ratio of number of boys and girls was 13 : 9. After some days, 30 girls joined the school and some boys left. The new ratio of number of boys and girls became 6:5. Find the number of boys who left the school.

If x=sectheta-tantheta, and y=cosectheta+cottheta, then

Fourcardsaredrawnat randomfroma packof 52cardsfindthe probabilityof gettingall thefourcardsof samenumber .

A cone of height 24 cm has a curved surface area 550 cm2. What is the ratio of its radius to slant height? (Take pi = 22/7)

Find the value of p for which the quadratic equation x^(2)+p(4x+p-1)+2=0 has equal roots :

((cottheta)/(cottheta-cot3theta)+(tantheta)/(tantheta-tan3theta))=?

In the Ruchika's wallet there are only ₹ 16, consisting of 10 paise, 20 paise and ₹ 1 coins. The ratio of no. of coins of 10 paise and 20 paise is 6 : 1. The minimum no. of ₹ 1 coin is :

24%of 3580 + 799.99 div (1000)/(25) = ?

Solve:1/(a+b+x) = 1/a + 1/b + 1/x

If x:y::5:2, then (x ^(3) - y ^(3))/( x ^(3) + y ^(3)) = ?

A shopkeeper sells T.V. for Rs 17940 after giving discounts of 8% and earns profit of 19.6% . If he had not given the discount then find its profit %?

If cos^(2)alpha+cos^(2)beta=2, the value of tan^(3)alpha+sin^(5)beta is.

Two trains of lengths 75 m and 95 m are moving in the same direction at 9m/s and 8m/s, respectively. Find the time taken by the faster train to cross the slower train.

How many words can be formed out of the letters of the word education such that vowels occupy the odd positions?

The bar graph shown below reveals the data about the no. of students in different disciplines of MBA at a prominent Business School in India. In the session of 2002-03 what percentage of MBA students are studying International Business ?

A trader mixes 26 kg of rice at Rs. 20 per kg with 30 kg of rice of other variety at Rs. 36 per kg and sells the mixture at Rs. 30 per kg. His profit percent is:

Total number of boys and girsl visited the place on Monday and Tuesday together is ho much more than the total number of boys and girsl visited the place on Thursday and Friday together ?

Every year before the festive season,a shopkeeper increases the price of the product by 35% and then introduce two successive discount of 10% and 15% respectively.what is percentage loss and percentage gain ?

Find the unit digit of (12)^(78)

Find the number of isosceles trinagles with integers sides, if no side exceeds 2014 unit.

Which is the least number which when doubled will be exactly divisible by 12, 18, 21 and 30?

ITC sells one product at a profit of 20% another at a loss of 20% at the same selling price. If SP of each article be Rs. 200, what is the amount of loss?

If the roots of 10x^3-cx^2-54x -27 0 are in harmonic progression, then find c and all the roots.

Kavita was supposed to multiply a natural number by 23. Instead, she multiplied that natural number by 32 and thus her result got increased by 315. The original product was :

What is the overall percentage marks obtained by D in History and Geography together?

The ratio of efficiencies of two filling pipes is 4 : 5. There is a third emptying pipe which efficiency is two third of the average efficiency of first two filling pipes can empty a filled tank in 36 minutes. In how much time both the filling pipes can fill the tank when it is empty?

a, b, c are the lengths of three sides of a DeltaABC. If a, b, c are related by the relation a^(2)+b^(2)+c^(2)=ab+bc+ca, then the value of (sin^(2)A+sin^(2)B+sin^(2)C) is

A person invests money in two different schemes for 5 years and 8 years at 12% and 10% simple interest, respectively. At the completion of each scheme he gets the same interest. The ratio of his investments is

Solve the following expression : 8 3/7 - 6 1/5

If p = log_(3)5 and q= log_(17) 25 which one of the following is correct?

A contract to be completed in 46 days and 117 men were set work, each working 8 hours per day. After 33 day, 4/7th of the work is completed. How many additional men may be employed so that the work may be completed in time, each man now working 9 hours a day ?

Convert (1001011001)_2 to octal.

Three persons start walking together and their steps measure 40 cm , 42 cm and 45 cm respectively . What is the minimum distance each should walk so that each can cover the same distance in complete steps ?

A function f(x)=log(g(x)), where g(x) is any function of x. If g(x)=e^(x). Then f(f(x)) is equal to :

A monkey wanted to climb on the smooth vertical pole of height of 35 metre. In the first one minute he climbed up 5 metre in the next on minute he slipped down by 2 metre. Further he repeated the same process till he had reached on the top of the pole: the minimum time required for this job is :