8677 + Interview Questions in Maths in Class 14 Page 173 InterviewSolution

8601.	What is the monthly income of Mr.X? I. Mr.X spends 85% of his income on various items and remaining amount is saved. II. Monthly saving of Mr. X is Rs 4,500/. III. Out of the total money spent by Mr. X in a month, one fifth is spent on food and remaining amount of Rs.20, 400 on other items.(a) Onlyll(b) Only lll(c) only either l or ll(d) None of these
Answer» Only II Only III Onlt either II or III None of these SOLUTION :From STATEMENTS I and II, Let Mr. X's monthly income = Rs. X. Then `(15xx x)/(100)4500` `impliesx=(4500xx100)/(15)=Rs.30000` From statements I and III, `x xx4/5xx85/100=20400` `impliesx=(20400xx5xx100)/(4xx85)=Rs.30000`

Discussion

8602.	Ram makes 750 articles at the cost of 60 paise per article. He fixed the selling price such that if only 600 articles are sold he would have made profit of 40% on the outlay. However, 120 articles got spoiled and he was able to sell 630 articles at this price. Find his actual profit per cent.
Answer» 0.42 0.45 0.47 0.47 Answer :C

Discussion

8603.	If x^2 -3x + 1 =0, and xy = 1 then find the value of x^3-y^3 +3xy
Answer» 0 2 3 None of these Answer :C

Discussion

8604.	Each of A and B sold their article at ₹ 1818 but A incurred a loss of 10% while B gained by 1%. What is the ratio of cost price of the articles of A to that of B?
Answer» 101:90 85:89 81:75 none of these Answer :A

Discussion

8605.	The remaider of (2^(59!))/(255) is :
Answer» 0 1 55 56 Answer :A

Discussion

8606.	A sum of money amounts to Rs. 3200 in 4 years and Rs. 8000 in 8 years on compound interest. Find the sum.
Answer» ANSWER :RS. 1280

Discussion

8607.	In the year 2014, the salary expense of Books Publishing company is 16 lakhs and the total number of employees are 80 and in the year 2015, the average salary of employees is Rs. 4000 more than the previous year. The salary expense in 2015 is 20% more than the previous year. The other expense in the year 2015 is 34 lakhs. The total expense in the year 2014 and 2015 is same. In the year 2016, the number of employees is 5 less then the preious year. The average salary of employees in the year Rs. 15000 and the other expense in the year 2016 is Rs. 47.75 lakhs. Note : Salary expense= Aberage salary of employees ** Number of employees Total expense =Salary expense + other expense. Find the difference between the number of employees in the year 2014 to that in the year 2016?
Answer» a.10 b.15 c.5 d.12 Solution :The NUMBER of EMPLOYEES in the YEAR 2014=80 The number of employees in the year 2016=75 Requried DIFFERENCE `=80-75=5`

Discussion

8608.	In the year 2014, the salary expense of Books Publishing company is 16 lakhs and the total number of employees are 80 and in the year 2015, the average salary of employees is Rs. 4000 more than the previous year. The salary expense in 2015 is 20% more than the previous year. The other expense in the year 2015 is 34 lakhs. The total expense in the year 2014 and 2015 is same. In the year 2016, the number of employees is 5 less then the preious year. The average salary of employees in the year Rs. 15000 and the other expense in the year 2016 is Rs. 47.75 lakhs. Note : Salary expense= Aberage salary of employees ** Number of employees Total expense =Salary expense + other expense. Find the total average salary of employees in all the given together ?
Answer» RS. 59000 Rs. 48000 Rs. 53000 Rs. 56000 Solution :The TOTAL average salary of employees in the all GIVEN years together `RARR 20000+24000+1500=RTs. 59000`

Discussion

8609.	In the year 2014, the salary expense of Books Publishing company is 16 lakhs and the total number of employees are 80 and in the year 2015, the average salary of employees is Rs. 4000 more than the previous year. The salary expense in 2015 is 20% more than the previous year. The other expense in the year 2015 is 34 lakhs. The total expense in the year 2014 and 2015 is same. In the year 2016, the number of employees is 5 less then the preious year. The average salary of employees in the year Rs. 15000 and the other expense in the year 2016 is Rs. 47.75 lakhs. Note : Salary expense= Aberage salary of employees ** Number of employees Total expense =Salary expense + other expense. The total expense in in the year 2016 ?
Answer» 15 11 75 59 Solution :The total EXPENSE in the YEAR 2014=`53.2` lakhs The total expense in the year 2015= 59 lakh Required `%=(53.2//59)^()=90%` Explanation In the year 2014 The salary expense of company =16 lakhs The total number of EMPLOYEES =80 Average salary of employees 1600000/80 Rs. 20000 In the year 2015, The average salary of emloyees =400+Average salary of employees in 2014 `rArr 4000+30000=24000` The salaryexpense in the year 2015 =34 lakhs Total expense in the year 2015 `=19.2+34=53.2`lakhs The number of employees in 2014 =1920000/24000=80 The total expense in the yeear 2014 ADN 2015 is same. So, the total expense in the year `2014=53.2` lakhs The other expense in the year `2014=53.2-16=37.2` lakhs The average salary of employees in the year 2016 Rs. 15000 The other expense in the year 2016 =Rs. 47.75 lakhs The number of employees in `2016=80-5=75` `=75^()15000=11.25` lakhs The total expense in the year 2016 `=47.75+11.25=59` lakhs

Discussion

8610.	if log_(m)n =rho, then:
Answer» <P>`m^(N) = p` `p^(n) =m` `m^(p)=n` `n^(p) =m` ANSWER :C

Discussion

8611.	24 men can complete a job in 20 days. The number of men required to complete the job in 16 days is :
Answer» 30 40 25 50 Answer :A

Discussion

8612.	If 5- (3a-2b)^(2) will be "max"^(m), when (a)/(b)= ?
Answer» ANSWER :`(2)/(3)`

Discussion

8613.	Find the value of sqrt(9sqrt(9sqrt(9.......oo))).
Answer» 81 3 9 `OO` ANSWER :C

Discussion

8614.	In the year 2014, the salary expense of Books Publishing company is 16 lakhs and the total number of employees are 80 and in the year 2015, the average salary of employees is Rs. 4000 more than the previous year. The salary expense in 2015 is 20% more than the previous year. The other expense in the year 2015 is 34 lakhs. The total expense in the year 2014 and 2015 is same. In the year 2016, the number of employees is 5 less then the preious year. The average salary of employees in the year Rs. 15000 and the other expense in the year 2016 is Rs. 47.75 lakhs. Note : Salary expense= Aberage salary of employees ** Number of employees Total expense =Salary expense + other expense. The total expense in the year 2016 is approximtely what percentage more/less than the other expense in the year 2015 ?
Answer» 50% more 60% less 75% more 50% less Solution :The TOTAL EXPENSE in the YEAR 2016=59 ltbr The other expense in the year 2015=34 Required `%=[(59-34)//34]^(**)100=75%` more

Discussion

8615.	In the year 2014, the salary expense of Books Publishing company is 16 lakhs and the total number of employees are 80 and in the year 2015, the average salary of employees is Rs. 4000 more than the previous year. The salary expense in 2015 is 20% more than the previous year. The other expense in the year 2015 is 34 lakhs. The total expense in the year 2014 and 2015 is same. In the year 2016, the number of employees is 5 less then the preious year. The average salary of employees in the year Rs. 15000 and the other expense in the year 2016 is Rs. 47.75 lakhs. Note : Salary expense= Aberage salary of employees ** Number of employees Total expense =Salary expense + other expense. Find the average other expens in all hte given years together ?
Answer» `39.65` LAKHS `35.72` lakhs `33.58` lakhs `41.25` lakhs SOLUTION :The AVERAGE other EXPENSE in all the given years together `rArr (37.4+64+47.75)//3` `rArr 118.95//3=39.65` lakhs

Discussion

8616.	Two pipe M and N can fill a tank in 8(1)/(3)min and 12(1)/(2)min respectively and an outler pipe can drain 162 litre water in 1 minute. If tank is full, all the three pipes are opened then tank will be empty in 4 minute then capacity of tank will be –
Answer» 916 litre 300 litre 360 litre None of these Answer :C

Discussion

8617.	The value of (log_(4)32 + log_(9)243)
Answer» 5 4 3 none of these Answer :A

Discussion

8618.	The number of ways in which 9 identical balls can be placed in three identical boxes is
Answer» 12 6 9 `(9!)/(3!)` ANSWER :A

Discussion

8619.	A and B started simultaneously towards each other from P and Q respectively . The distance between P and Q id 600 km and the ratio of speeds of A is to B is 5:7. if they meet at a point M:find the distance PM.
Answer» ANSWER :(i) 250 KM (II) 350 km

Discussion

8620.	If the circumradius of a triangle is 7 cm and inradius is 3 cm . Find the distance between circumcentreand incentre .
Answer» ANSWER :2.5

Discussion

8621.	6 men can complete a piece of work in 12 days, 8women can complete the same piece of work in 18 days and 18 children can doit in 10 days. 4 men, 12 women and 20 children do the work for 2 days. If theremaining work be completed by men only in 1 day, how many men will berequired?36b. 24c. 18d. cannotbe determined
Answer» 36 24 18 couldn't be DETERMINED ANSWER :A

Discussion

8622.	If x^(2)-ax-21=0 and x^(2)-3ax+35=0, a gt 0 have a common root, then a is equal to :
Answer» 1 2 4 5 Answer :C

Discussion

8623.	If f(x)=" max "(4x+3, 3x+6)" for "x in [-6, 10], Find the maximum value of f(x).
Answer» SOLUTION :Sine the FUNCTION F(x)=max(4x+3,3x+6) is an INCREASING function.Therefore at x=10 we get the maximum value.`f(x)_max`=max(43,36) `f(x)_max=43`

Discussion

8624.	There are two concentric circles whose areas areain the ratio of 9:16 and the difference between their diameters is 4 cm. What is the area of the outer circle ?
Answer» `32 cm^2` `64 pi cm^2` `36 cm^2` `48 cm^2` ANSWER :B

Discussion

8625.	The sum of first n odd numbers (i.e., 1 + 3 + 5 + 7 + ….+ 2n - 1) is divisible by 11111 then the value of n is :
Answer» a. 12345 B. 11111 c. can't be DETERMINED d. NONE of these ANSWER :B

Discussion

8626.	A number when divided successively by 6, 7 and 8 . it leaves the respective remainders of 3,5 and 4 . What will be the last remaindr when such a least possible number is divided successively by 8, 7 and 6 ?
Answer» SOLUTION :First we find the actual LEAST POSSIBLE no. then we move further

Discussion

8627.	The sequence of sets S_1, S_2,S_3,S_4,….. is defined as S_1 = {1}. S_2 = {3,5}, S_3 = {7,9,11}, S_4 = {13,15,17,19}….etc. The sum of all the elements of S_(101) :
Answer» 1531441 1189811 1030301 none of these Answer :C

Discussion

8628.	A is thrice as efficient as B. Working together they complete the work in 3 days. If B takes 8 days more than A, what is the number of days taken by A to finish the whole work, alone ?
Answer» 4 2 12 16 Answer :A

Discussion

8629.	PQ is tangent at a point R of the circle with centre O. If ST is a diameter of the circle and angle TRQ = 30^(@) find angle PRS
Answer» `30^(@)` `60^(@)` `45^(@)` `120^(@)` Answer :B

Discussion

8630.	What is the respective ratio between the profit earned by shopkeeper U in the months of February 2010 and March 2010 together to that earned by shopkeeper Q in the same months?
Answer» `637 : 512` `621 : 508` `512 : 637` `508 : 621` ANSWER :B

Discussion

8631.	In the following figure,A, B, Cand D are the concyclic points. Find the value of x.
Answer» ANSWER :`50^@`

Discussion

8632.	For a quadratic inequation ax^2+bx+clt0, having negativwe discrimlnant, the value of x that satisfy the given inequation
Answer» `R-` R `R+` con't be determined Answer :D

Discussion

8633.	A shopkeeper purchased some oranges. By selling 50% oranges he got his purchasing price and sold 60% of remaining at the half of the profit % earlier and thrown away rest oranges. Find profit %.
Answer» ANSWER :45% PROFIT

Discussion

8634.	There are two candidates in an election.75% of casted votes are valid. Winning candidate won by 2250 votes and losing candidate got 18% of total valid votes. Find the total number of votes.
Answer» ANSWER :25000

Discussion

8635.	Find the remainder when 7^(187) is divided by 800.
Answer» 143 243 343 443 Answer :D

Discussion

8636.	The radius of a circle is 13 cm and XY is a chord which is at a distance of 12 cm from the centre. The length of the chord is:
Answer» 12 CM 10 cm 20 cm 15 cm Answer :B

Discussion

8637.	Rs.1200 divided among P, Q and R. P gets half of the total amount received by Q and R. Q gets one-third of the total amount received by P and R. Find the amount received by R ?
Answer» A) RS. 1100 B) Rs. 500 C) Rs. 1200 D) Rs. 700 Answer :Rs. 5000

Discussion

8638.	16 persons can reap 1/5th field in 6 days. How many persons (with same efficiency) are required to reap rest of the field in 8 days?
Answer» 27 54 48 64 Answer :C

Discussion

8639.	On what dates of march 2005 did Saturday fall
Answer» 4th,5th,9th,12th 5th,12th,19th,26th 3rd,10th,17th,25th 4th,11th,18th,25th ANSWER :B

Discussion

8640.	If sintheta+costheta=aandsectheta+cosectheta=b, then the value of b(a^(2)-1) is equal to
Answer» 2a 3a 0 2ab Answer :A::B

Discussion

8641.	If alpha,beta are the roots of 1+x+x^(2)=0 then the value of alpha^(4)+beta^(4)+alpha^(-4)beta^(-4) =
Answer» <P>is divisible by ‘p’ is an integer is a rational number both (b) and (C) ANSWER :D

Discussion

8642.	At what rate will 14400 give 4032 as simple interest in 3 years and 6 months ?
Answer» 8 9 8 1/2 none of these Answer :A

Discussion

8643.	Find f(f(f(f(f(2)))))) if f(x)=(x+1)/(x-1),x ne 1
Answer» 1 2 3 5 Answer :C

Discussion

8644.	A milkman always purchases milk from a dairy wherein the farmer mixes up 3 litre of of freely available water with every 7 litre of pure milk in such a way that the milkman is not able to identify the impurity. Now Use milkman adds up 5 litres of freely available water to every 15 litres of milk purchased from the dairy and then he sells to his customers at the cost price. What is the profit or loss percentage earned/accrued by the milkman in this trading?
Answer» 8 12 20 33.33 Answer :D

Discussion

8645.	In a college, the ratio of the number of boys to girls is 8 : 5. If there are 160 girls, the total number of students in the college is
Answer» A) 100 B) 250 C) 260 D) 416 Answer :D

Discussion

8646.	If (sqrt(a) + sqrt(b)) = 17 and (sqrt(a) - sqrt(b)) = 1, then the value of sqrt(ab) is :
Answer» 17 18 72 21 Answer :C

Discussion

8647.	On what sum will the difference between the simple interest and compound interest for 3 years at 5 per cent per annum amount to Rs 12.20?
Answer» ANSWER :RS. 1600

Discussion

8648.	Simplify the following expressions : 5 2/3 div 4/17
Answer»

Discussion

8649.	If 7sin^(2)theta+3cos^(2)theta=4, then value of tantheta.
Answer» `(1)/(SQRT(3))` `sqrt(3)` `2sqrt(3)` `(1)/(2sqrt(3))` ANSWER :A

Discussion

8650.	A drawing room is 7.5 m long 6.5 m broad and6 m high . Find the length of paper 2.5 dm wide to cover its walls allowing 8 sq. m for doors :
Answer» a. 368 m B. 640 m C. 625 m d. 888 m Answer :B

Discussion

Explore topic-wise InterviewSolutions in .

Ram makes 750 articles at the cost of 60 paise per article. He fixed the selling price such that if only 600 articles are sold he would have made profit of 40% on the outlay. However, 120 articles got spoiled and he was able to sell 630 articles at this price. Find his actual profit per cent.

If x^2 -3x + 1 =0, and xy = 1 then find the value of x^3-y^3 +3xy

Each of A and B sold their article at ₹ 1818 but A incurred a loss of 10% while B gained by 1%. What is the ratio of cost price of the articles of A to that of B?

The remaider of (2^(59!))/(255) is :

A sum of money amounts to Rs. 3200 in 4 years and Rs. 8000 in 8 years on compound interest. Find the sum.

if log_(m)n =rho, then:

24 men can complete a job in 20 days. The number of men required to complete the job in 16 days is :

If 5- (3a-2b)^(2) will be "max"^(m), when (a)/(b)= ?

Find the value of sqrt(9sqrt(9sqrt(9.......oo))).

Two pipe M and N can fill a tank in 8(1)/(3)min and 12(1)/(2)min respectively and an outler pipe can drain 162 litre water in 1 minute. If tank is full, all the three pipes are opened then tank will be empty in 4 minute then capacity of tank will be –

The value of (log_(4)32 + log_(9)243)

The number of ways in which 9 identical balls can be placed in three identical boxes is

A and B started simultaneously towards each other from P and Q respectively . The distance between P and Q id 600 km and the ratio of speeds of A is to B is 5:7. if they meet at a point M:find the distance PM.

If the circumradius of a triangle is 7 cm and inradius is 3 cm . Find the distance between circumcentreand incentre .

If x^(2)-ax-21=0 and x^(2)-3ax+35=0, a gt 0 have a common root, then a is equal to :

If f(x)=" max "(4x+3, 3x+6)" for "x in [-6, 10], Find the maximum value of f(x).

There are two concentric circles whose areas areain the ratio of 9:16 and the difference between their diameters is 4 cm. What is the area of the outer circle ?

The sum of first n odd numbers (i.e., 1 + 3 + 5 + 7 + ….+ 2n - 1) is divisible by 11111 then the value of n is :

A number when divided successively by 6, 7 and 8 . it leaves the respective remainders of 3,5 and 4 . What will be the last remaindr when such a least possible number is divided successively by 8, 7 and 6 ?

The sequence of sets S_1, S_2,S_3,S_4,….. is defined as S_1 = {1}. S_2 = {3,5}, S_3 = {7,9,11}, S_4 = {13,15,17,19}….etc. The sum of all the elements of S_(101) :

A is thrice as efficient as B. Working together they complete the work in 3 days. If B takes 8 days more than A, what is the number of days taken by A to finish the whole work, alone ?

PQ is tangent at a point R of the circle with centre O. If ST is a diameter of the circle and angle TRQ = 30^(@) find angle PRS

What is the respective ratio between the profit earned by shopkeeper U in the months of February 2010 and March 2010 together to that earned by shopkeeper Q in the same months?

In the following figure,A, B, Cand D are the concyclic points. Find the value of x.

For a quadratic inequation ax^2+bx+clt0, having negativwe discrimlnant, the value of x that satisfy the given inequation

A shopkeeper purchased some oranges. By selling 50% oranges he got his purchasing price and sold 60% of remaining at the half of the profit % earlier and thrown away rest oranges. Find profit %.

There are two candidates in an election.75% of casted votes are valid. Winning candidate won by 2250 votes and losing candidate got 18% of total valid votes. Find the total number of votes.

Find the remainder when 7^(187) is divided by 800.

The radius of a circle is 13 cm and XY is a chord which is at a distance of 12 cm from the centre. The length of the chord is:

Rs.1200 divided among P, Q and R. P gets half of the total amount received by Q and R. Q gets one-third of the total amount received by P and R. Find the amount received by R ?

16 persons can reap 1/5th field in 6 days. How many persons (with same efficiency) are required to reap rest of the field in 8 days?

On what dates of march 2005 did Saturday fall

If sintheta+costheta=aandsectheta+cosectheta=b, then the value of b(a^(2)-1) is equal to

If alpha,beta are the roots of 1+x+x^(2)=0 then the value of alpha^(4)+beta^(4)+alpha^(-4)beta^(-4) =

At what rate will 14400 give 4032 as simple interest in 3 years and 6 months ?

Find f(f(f(f(f(2)))))) if f(x)=(x+1)/(x-1),x ne 1

In a college, the ratio of the number of boys to girls is 8 : 5. If there are 160 girls, the total number of students in the college is

If (sqrt(a) + sqrt(b)) = 17 and (sqrt(a) - sqrt(b)) = 1, then the value of sqrt(ab) is :

On what sum will the difference between the simple interest and compound interest for 3 years at 5 per cent per annum amount to Rs 12.20?

Simplify the following expressions : 5 2/3 div 4/17

If 7sin^(2)theta+3cos^(2)theta=4, then value of tantheta.

A drawing room is 7.5 m long 6.5 m broad and6 m high . Find the length of paper 2.5 dm wide to cover its walls allowing 8 sq. m for doors :