8677 + Interview Questions in Maths in Class 14 Page 117 InterviewSolution

5801.	The ratio of milk and water in a mixture is 5 : 2. How much fraction of the mixture must be drawn off and substituted by water so that the ratio of milk and water in the mixture becomes2 : 1?
Answer» ANSWER :`1/15`

Discussion

5802.	Solve the following : If x^(x^(3/2)) = (x^(3/2))^x, then the value of x is :
Answer» `2/3` `9/4` `16/25` `8/27` ANSWER :B

Discussion

5803.	A marketing company conducted a survey among 10,000 person in Kanpur : It was observed that some people have more than one bike but from only one company i.e., a particular person can have more than one bike of HeroHonda, but not from bajaj etc. and vice versa. Thus there were total 12,000 bikes with 10,000 persons used for survey. There are only four compaies operating in this market. If the number of people who drive one, two and three bikes are in the ratio 15 : 3 : 1 what is the number of people in the survey who do not drive even a single bike ?
Answer» 750 400 600 500 Answer :D

Discussion

5804.	In the word RAINBOW how manywordsare therein whichfirstand lastlettersare vowels?
Answer» 360 720 1440 2880 Answer :B

Discussion

5805.	Priyankahas 11 differenttoysand supriyahas8 differentroys. Findthe numberof waysin whichtheycan exchangetheirtoysso thateachkeepsherinitialnumber of toys .
Answer» `"^(19)C_(11)` `"^(18)C_(10)` `"^(20)C_(11)` `"^(19)C_(11) -1` Answer :D

Discussion

5806.	Vijay purchased two different kinds of alcohol. In the first mixture the ratio of alcohol to water is 3 : 4 and in the second mixture it is 5 : 6. If he mixes the two given mixtures and makes a third mixture of 18 litres in which the ratio of alcohol to water is 4 : 5, the quantity of first mixture (whose ratio is 3 : 4) is required to make the 18 litres of the third kind of mixture is :
Answer» 6 7 8 9 Answer :B

Discussion

5807.	If x sintheta+ycostheta=2 & x sintheta-ycostheta=0 then which option is correct?
Answer» `X^(2)+y^(2)=4` `x^(2)+y^(2)=1` `(1)/(x^(2))+(1)/(y^(2))=1` `(1)/(x^(2))+(1)/(y^(2))=4` Answer :C

Discussion

5808.	The ratio of milk and water in two vessels are3 : 4and5 : 6. The capacity of both vessels are in the ratio 1 : 2. If the whole quantity of first vessel and halfquantity of second vessel are poured into a third vessel, then find the ratio of milk and water in third vessel.
Answer» ANSWER :`34: 43 `

Discussion

5809.	For any real value of x, find the minimum value of the rational expression (x^2+x+1)/(x^2-x+1).
Answer» `-1//6` `1//3` `2//9` 1 Answer :A::C

Discussion

5810.	A fast moving super fast express crosses another passenger train in 20 sec.The speed of faster train is 72 km/h and speeds of slower train is 27 km/h also th length of faster train is 100 m then find the length of the slower train if they are moving in the same direction.
Answer» ANSWER :150 m

Discussion

5811.	If a + b + c = 0, then what is the value of 1/((x^(a)+x^(-b)+1))+1/((x^(b)+x^(-c)+1))+1/((x^(c)+x^(-a)+1))=?
Answer» 1 0 abc x Answer :A

Discussion

5812.	Consider the following statementsArea of segment of a circle is less than area of its corresponding sector.Distance travelled by a circular Wheel of diameter 2d cm in one revolution is greater than 6d cm.Which of the above statements is/are correct?
Answer» a. Only I b. Only II C. Both I andII d. NEITHER I nor II Answer :C

Discussion

5813.	Find the square root of 11025
Answer»

Discussion

5814.	Ifa + b + c = 3, a^(2) + b^(2) + c^(2) = 6 and (1)/(a) + (1)/(b) + (1)/(c) = 1where a, b, c are all non - zero then'abc' is equal to
Answer» `(1)/(3)` `(2)/(3)` `(3)/(2)` 1 Answer :C

Discussion

5815.	An article was sold at 15% profit. Had it purchased at 5% more and sold at Rs 6 more there would have been profit of 10%. Find C.P. of article?
Answer» ANSWER :RS. 1200

Discussion

5816.	How manydifferentcommittieesof 5 membersmay beformedfrom6 gentlemenand 4 ladies ?
Answer» 181 357 603 252 Answer :D

Discussion

5817.	What is the time period for which Rs. 8000 amounts to Rs. 12000 at 2% p.a. of simple interest ?
Answer» 4 YEARS 2.5 years 3.25 years 6 years ANSWER :B

Discussion

5818.	12.49% of 839.859 = ?
Answer» 95 100 115 105 Answer :B

Discussion

5819.	If cosec x -cot x = a, then find the value of cosx.
Answer» `(1-a^(2))/(1+a^(2))` `(a^(2)-1)/(a^(2)+1)` `(a-1)/(a^(2)+1)` `(a^(2)-1)/(a+1)` ANSWER :B

Discussion

5820.	Find the square root of 10816.
Answer»

Discussion

5821.	If log_2x+log_4x+log_64x=5, find x :
Answer» 8 16 7 2 Answer :A

Discussion

5822.	Solve the following : (4)^3
Answer» SOLUTION :` 4 XX 4 xx 4 = 64`

Discussion

5823.	When a two digit number is subtracted from another two digits number consisting of the same digits in reverse order, then the resultant value we get is equal to the sum of the digits of that number. The square of sum of digits of that number can be :
Answer» 49 64 81 36 Answer :C

Discussion

5824.	If (sintheta+costheta)/(sintheta-costheta)=3, then find the value of sin^(4)theta-cos^(4)theta.
Answer» a) `(1)/(5)` B) `(2)/(5)` C) `(3)/(5)` d) `(4)/(5)` ANSWER :C

Discussion

5825.	HCF of 1007 and 1273 is :
Answer» 1 17 23 19 Answer :D

Discussion

5826.	A shopkeeper buys an article on discount of 20% on MP. Shopkeeper marks it Rs 200 more than CP and gives 10% discount on it. Profit gained is Rs 148. Find initial M.P.
Answer» ANSWER :RS. 4000

Discussion

5827.	There are three copies each of 4 different books. In how many ways canthey be arranged in a shelf?
Answer» 369600 366900 396600 306609 Answer :A

Discussion

5828.	factorize the following numbers into the prime factors 210
Answer» SOLUTION :`2xx3xx5xx7`

Discussion

5829.	The sum of an infinite geometric progression (G.P.) is 2 and the sum of the G.P. made from the cubes of the terms of this infinite series is 24. The values a nad r respectively (where is the first term and r denote common ratio of the series)
Answer» A. `-2,3` B. `3, -1/2` C. `0, 1/2` D. can't be determined Answer :B

Discussion

5830.	The mean proportional between 45 and a certain number is three times the mean proportional between 5 and 22. The number is :
Answer» 24 49 22 9 Answer :C

Discussion

5831.	The tangents at two points A and B on the circle with centre O intersect at P. If in quadrilateral PAOB, angle AOB : angle APB = 5 : 1, then measure of angle APB is :
Answer» `30^(@)` `60^(@)` `45^(@)` `15^(@)` ANSWER :A

Discussion

5832.	Due to a reduction of 10%in the price of milk a person is able to buy 6.2 lt more for Rs. 1116. Find the reduced price of milk per litre ?
Answer» 20 16 15 18 Answer :RS. 18 LT

Discussion

5833.	Eklavya can do the 6 times the actual work in 36 days while Faizal can do the one-fourth of the original work in 3 days. In how many days will both working together complete 3 times of the original work?
Answer» 6 10 12 15 Answer :C

Discussion

5834.	An article is marked up 40% higher than CP but it was sold x% on discount. The shopkeeper thus gains 12%. What would be the S.P. of the article with C.P. ₹ 120 and sold on x % profit
Answer» ₹132.50 ₹144 ₹128 ₹148 Solution :Let C.P = 100 `therefore` M. P = 140 And `S.P = (100 -X)/(100) XX 140` Also, `S.P = (112)/(100) xx 100 = 112` `therefore (100-x)/(100) xx 140 =112` `rArr x = 20` Now, C.P = 120 PROFIT = x%, i.e., 20% `therefore S.P = (120)/(100) xx 120 = ₹144`

Discussion

5835.	A dishonest grocer professes to sell pure butter at cost price, but he mixes it with fat and thereby gains 25%. Find the percentage of fat in the mixture assuming that fat is freely available.
Answer» 0.2 0.25 0.3333 0.4 Answer :A

Discussion

5836.	seven delegates are to address a meeting. If a particular peaker is to speak before another particular speaker, find the number of ways in which this can be arranged.
Answer» 1220 2520 3250 7826 Answer :B

Discussion

5837.	Find the common ratio of the G.P. whose first and last terms are 5 and (32)/(625) respectively and the sum of the G.P. is (5187)/(625):
Answer» 44317 44318 44260 44320 Answer :B

Discussion

5838.	The value of (x^a/x^b)^(a^2+ab+b^2)(x^b/x^c)^(b^2+bc+c^2)(x^c/x^a)^(c^2+ca+a^2)
Answer» -1 `X^(ABC)` 1 `x^(a+b+C)` ANSWER :C

Discussion

5839.	If the mean proportional between X and Y is n times the third proportional, then the ratio X, Y wil be :
Answer» `N ^(2) :1` `1 : n ^(2)` `n ^(2//3):1` `1 : n^(2//3)` ANSWER :C

Discussion

5840.	Find the number of Zeros at the end ofthe expression - 10 + 100 + 1000 + ....... + 100000000
Answer» 1 10 55 None of these ANSWER :A

Discussion

5841.	Shashank started a work and left after 12 days, rest work done by Nitish in 15 days. Had Shashank left work, 2 days before, the rest work could have been done by Nitish in 18 days. If Shashank reduces his efficiency by 20% and Nitish increase his efficiency by 50%. Then in how many day working together they will finish the work?
Answer» ANSWER :`12(2)/(9)` DAYS

Discussion

5842.	sqrt(3236)-sqrt(1764)=sqrt(?)
Answer» 14 `(196)^(2)` -14 None of these Solution :`SQRT(3136)-sqrt(1764)=sqrt(?)` `rArr 56-42=sqrt(?)` `rArr sqrt(?)=14` On SQUARING both the side `:. ?=14xx14=196`

Discussion

5843.	(cosalpha)/(cosbeta)=n and (sinalpha)/(sinbeta)=m, find (m^(2)-n^(2))sin^(2)beta
Answer» ANSWER :`1-n^(2)`

Discussion

5844.	Ifsin theta =15/17 thenwhat is the value of sec theta
Answer» `17/8` `8/17` `8/15` `17/15` ANSWER :1

Discussion

5845.	A six digit number is such that every alternate digit is a prime digit and the three leftmost digits 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+q+r = u, q+r = t, p+r = s, r/t = 2/3 and p ne q ne r ne s ne t ne u, then the sum of all the digits must be:
Answer» 25 16 21 can't be determined Answer :A

Discussion

5846.	A bookseller procures 40 books for ₹ 3200 and sells them at a profit equal to the selling price of 8 books. What is the selling price of one dozen books, if the price of each book is same?
Answer» 720 960 1200 1440 Answer :C

Discussion

5847.	A train covers certain distance between two places at a uniform speed. If the train moved 10 km/h faster, it would take 2 h less, and if the train were slower by 10 km/h, it would take 3 h more than the scheduled time. Find the distance covered by the train.
Answer» 300 KM 600 km 800 km 1200 km Answer :B

Discussion

5848.	What will be the ratio of petrol and kerosene in the final solution formed by mixing petrol and kerosene that are present in three identical vessels in the ratio 4:1, 5 : 2 and 6:1, respectively?
Answer» `166 : 22` `83 : 22` `83 : 44` NONE of these Answer :B

Discussion

5849.	If log_100x=-1/2 then the value of x is :
Answer» a) 0.001 B) `1/10` C) `0.00001` d) `10^(-2)` ANSWER :B

Discussion

5850.	Minimum value ofx^2+1/(x^2+1)-3 is
Answer» ANSWER :`-1`

Discussion

Explore topic-wise InterviewSolutions in .

The ratio of milk and water in a mixture is 5 : 2. How much fraction of the mixture must be drawn off and substituted by water so that the ratio of milk and water in the mixture becomes2 : 1?

Solve the following : If x^(x^(3/2)) = (x^(3/2))^x, then the value of x is :

In the word RAINBOW how manywordsare therein whichfirstand lastlettersare vowels?

Priyankahas 11 differenttoysand supriyahas8 differentroys. Findthe numberof waysin whichtheycan exchangetheirtoysso thateachkeepsherinitialnumber of toys .

If x sintheta+ycostheta=2 & x sintheta-ycostheta=0 then which option is correct?

The ratio of milk and water in two vessels are3 : 4and5 : 6. The capacity of both vessels are in the ratio 1 : 2. If the whole quantity of first vessel and halfquantity of second vessel are poured into a third vessel, then find the ratio of milk and water in third vessel.

For any real value of x, find the minimum value of the rational expression (x^2+x+1)/(x^2-x+1).

A fast moving super fast express crosses another passenger train in 20 sec.The speed of faster train is 72 km/h and speeds of slower train is 27 km/h also th length of faster train is 100 m then find the length of the slower train if they are moving in the same direction.

If a + b + c = 0, then what is the value of 1/((x^(a)+x^(-b)+1))+1/((x^(b)+x^(-c)+1))+1/((x^(c)+x^(-a)+1))=?

Consider the following statementsArea of segment of a circle is less than area of its corresponding sector.Distance travelled by a circular Wheel of diameter 2d cm in one revolution is greater than 6d cm.Which of the above statements is/are correct?

Find the square root of 11025

Ifa + b + c = 3, a^(2) + b^(2) + c^(2) = 6 and (1)/(a) + (1)/(b) + (1)/(c) = 1where a, b, c are all non - zero then'abc' is equal to

An article was sold at 15% profit. Had it purchased at 5% more and sold at Rs 6 more there would have been profit of 10%. Find C.P. of article?

How manydifferentcommittieesof 5 membersmay beformedfrom6 gentlemenand 4 ladies ?

What is the time period for which Rs. 8000 amounts to Rs. 12000 at 2% p.a. of simple interest ?

12.49% of 839.859 = ?

If cosec x -cot x = a, then find the value of cosx.

Find the square root of 10816.

If log_2x+log_4x+log_64x=5, find x :

Solve the following : (4)^3

When a two digit number is subtracted from another two digits number consisting of the same digits in reverse order, then the resultant value we get is equal to the sum of the digits of that number. The square of sum of digits of that number can be :

If (sintheta+costheta)/(sintheta-costheta)=3, then find the value of sin^(4)theta-cos^(4)theta.

HCF of 1007 and 1273 is :

A shopkeeper buys an article on discount of 20% on MP. Shopkeeper marks it Rs 200 more than CP and gives 10% discount on it. Profit gained is Rs 148. Find initial M.P.

There are three copies each of 4 different books. In how many ways canthey be arranged in a shelf?

factorize the following numbers into the prime factors 210

The sum of an infinite geometric progression (G.P.) is 2 and the sum of the G.P. made from the cubes of the terms of this infinite series is 24. The values a nad r respectively (where is the first term and r denote common ratio of the series)

The mean proportional between 45 and a certain number is three times the mean proportional between 5 and 22. The number is :

The tangents at two points A and B on the circle with centre O intersect at P. If in quadrilateral PAOB, angle AOB : angle APB = 5 : 1, then measure of angle APB is :

Due to a reduction of 10%in the price of milk a person is able to buy 6.2 lt more for Rs. 1116. Find the reduced price of milk per litre ?

Eklavya can do the 6 times the actual work in 36 days while Faizal can do the one-fourth of the original work in 3 days. In how many days will both working together complete 3 times of the original work?

An article is marked up 40% higher than CP but it was sold x% on discount. The shopkeeper thus gains 12%. What would be the S.P. of the article with C.P. ₹ 120 and sold on x % profit

A dishonest grocer professes to sell pure butter at cost price, but he mixes it with fat and thereby gains 25%. Find the percentage of fat in the mixture assuming that fat is freely available.

seven delegates are to address a meeting. If a particular peaker is to speak before another particular speaker, find the number of ways in which this can be arranged.

Find the common ratio of the G.P. whose first and last terms are 5 and (32)/(625) respectively and the sum of the G.P. is (5187)/(625):

The value of (x^a/x^b)^(a^2+ab+b^2)(x^b/x^c)^(b^2+bc+c^2)(x^c/x^a)^(c^2+ca+a^2)

If the mean proportional between X and Y is n times the third proportional, then the ratio X, Y wil be :

Find the number of Zeros at the end ofthe expression - 10 + 100 + 1000 + ....... + 100000000

sqrt(3236)-sqrt(1764)=sqrt(?)

(cosalpha)/(cosbeta)=n and (sinalpha)/(sinbeta)=m, find (m^(2)-n^(2))sin^(2)beta

Ifsin theta =15/17 thenwhat is the value of sec theta

A bookseller procures 40 books for ₹ 3200 and sells them at a profit equal to the selling price of 8 books. What is the selling price of one dozen books, if the price of each book is same?

A train covers certain distance between two places at a uniform speed. If the train moved 10 km/h faster, it would take 2 h less, and if the train were slower by 10 km/h, it would take 3 h more than the scheduled time. Find the distance covered by the train.

What will be the ratio of petrol and kerosene in the final solution formed by mixing petrol and kerosene that are present in three identical vessels in the ratio 4:1, 5 : 2 and 6:1, respectively?

If log_100x=-1/2 then the value of x is :

Minimum value ofx^2+1/(x^2+1)-3 is