8677 + Interview Questions in Maths in Class 14 Page 131 InterviewSolution

6501.	There are 6 numbered chairs placed around a circular table. 3 boys and 3 girls want to sit on them such that neither of two boys nor two girls sit adjacent to each other. How many such arrangements are possible?
Answer» 36 58 72 none of these Answer :C

Discussion

6502.	Solve the following expression : 16/5 + 3/8 + 11/10
Answer»

Discussion

6503.	(2^(112))/(9)find R.
Answer» ANSWER :`=7`

Discussion

6504.	For the natural numbers n_1 and n_2 if 2n_1 + 3n_2 = n_1 xx n_2, then the least possible value of the 2n_1 + 3n_2 is :
Answer» a. 6 b. 12 C. 24 d. can't be DETERMINED ANSWER :C

Discussion

6505.	At his birthday party Pravesh invited his 100 friends and they took their seats numbered as 1,2,3, …..,100. Starting from seat number 1 every third guest was served with Chapatis, every fourth guest was served with Poori and every fifth guest was served with Dahibara and the remaining guests were served with coca-cola only. How many guests enjoyed coca-cola in that party?
Answer» a. 33 b. 13 c. 41 d. can't be DETERMINED ANSWER :A

Discussion

6506.	If \|(30-x)/(3)\|lt4, then find x
Answer» `-6ltxlt6` `10ltxlt50` `xgt10` NONE of these Answer :B

Discussion

6507.	What is the maximum value of the expression 5-6x-x^(2)
Answer» SOLUTION :`5-6x-x^2=14-(3+x)^2` THUS the EXPRESSION can have MAXIMUM VALUE 14, when x=-3 since,the minimum value of `(3+x)^2` is zero.

Discussion

6508.	A trapezium inscribes a circle that touches all its sides and the line connecting the mid-points of the non-parallel sides of the trapezium divides the trapezium in such a way that the area of one part is half the area of the other part. If the lengths of the non-parallel sides be 8 cm and 16 cm, find the length of the shortest side of the trapezium.
Answer» 4 6 9 none of these Answer :A

Discussion

6509.	A certain sum amounts to ₹ 8988.8 in two years and to ₹ 9528.128 in three years, at compound interest per annum. What is the principal and rate of interest?
Answer» `₹1200,5%` `₹ 6,00,8%` `₹ 8,000,6%` `₹ 10,000,8.5%` ANSWER :C

Discussion

6510.	On walking 120 m towards a chimney in a horizonatal line through its base the angle of elevation of tip of the chimney changes from 30^@ " to " 45^@. The height of the chimney is
Answer» 120 m `60(sqrt3-1)` `60(sqrt3+1)`m NONE of these ANSWER :C

Discussion

6511.	If log_(10)a + log_(10) b =c, then the value of a is:
Answer» BC `C/b` `(10)^c/b` `(10B)/c` ANSWER :C

Discussion

6512.	The sum of all the 3-digit numbers, each of which on division by 5 leaves remainder 3
Answer» 180 1550 6995 99090 Answer :D

Discussion

6513.	(cosectheta-sintheta)(sectheta-costheta)(tantheta+cottheta)=?
Answer» `-1` 1 2 0 Answer :A

Discussion

6514.	If cos A = 3/4 then the value of 32sin( A/2)* sin (5A/2) is_____.
Answer» `SQRT(7)` `-sqrt(7)` 7 `-7`

Discussion

6515.	A alone con finish a piece of work in 12 days and B alone can do it in 15 days. If both of them work at it together, how much time will they take to finish it ?
Answer» 6 days 8 days `6(2)/3` `10(1)/5` ANSWER :C

Discussion

6516.	Nikita invested Rs. 8000 for 3 years at 5% CI in a post office. If the interest is compounded once in a year, what sum will she get after 3 years?
Answer» ANSWER :RS. 9261

Discussion

6517.	If an integer p is such that (8p+1) is prime, where pgt2, then (8p-1) is:
Answer» divisible by 7 divisible by 3 a prime number none of these Answer :B

Discussion

6518.	After travelling 25 km the speed of the car increases by 1/4th of its original speed, due to this the car reaches 30 minutes earlier on its destination. If the speed of the car increased 10 km before, then it reached to its dentination 32(2)/(5)mintues earlier. The find the speed of car :
Answer» ANSWER :150 KM

Discussion

6519.	Baniya sells two types of tea viz. Desi chai and Videshi chai. He sells Desi Chai at rs 18 per kg and incurs a loss of 10% whereas on selling the Videshi Chai at rs 30 per g, he gains 20%. In what proportion should the Desi Chai and Videshi Chai be mixed such that he can gain a profit of 5% by selling the mixture at rs 27.5 per kg?
Answer» 3:2 2:3 2:5 3:5 Answer :A

Discussion

6520.	A car moving at the speed of 36 km/hr crosses a bridge in 5 minutes. What is the length of the bridge in meters ?
Answer» (a) 2000 METRES (b) 3000 metres (c) 3500 metres (d) 4500 metres Answer :A

Discussion

6521.	(x-2) men can do a piece of work in x days and (x+7) men can do 75% of the same work in (x-10) days. Then in how many days can (x+10) men finish the work?
Answer» 27 DAYS 12 days 25 days 18 days Answer :B

Discussion

6522.	The number of students in three classes are in the ratio 1:3:5. If 60 students are increased in each class, the ratio changes to 3:5:7. Originally, the total number of students was :
Answer» 180 250 270 none of there Answer :C

Discussion

6523.	A person sells his table at a profit of 12(1)/(2)% and the chair at a loss of 8(1)/(3)% but on the whole he gains Rs 25. On the other hand if he sells the table at a loss of 8(1)/(3% and the chair at a profit of 12(1)/(2)% then he neither gains nor loses. Find the cost price of the table.
Answer» ANSWER :RS. 360

Discussion

6524.	The sum of four prime numbers of two digits is 204. The sum of the first and last i.e, (p_1 + p_4) is same as the sum of second number p_2 and third number p_3 (i.e., p_2 + p_3). Again p_3 - p_2 = 2 (p_2 - p_1) = 2 (p_4 - p_3). The average number of all the four numbers is not a prime number, but a product of two prime numbers one of these prime numbers (out of four) is :
Answer» 23 89 71 can't be determined Answer :C

Discussion

6525.	Two persons A and B throw a coin alternatively till one of them gets head and wins the game. Find their respective probabilities of winning.
Answer» `1/3,5/6` `3/5,4/5` `2/3,1/3` `1/6,5/6` ANSWER :C

Discussion

6526.	Find the value of tan80^(@)
Answer» `TAN70^(@)+TAN10^(@)` `tan70^(@)+2TAN10^(@)` `2tan70^(@)+tan10^(@)` `2tan70^(@)+2tan10^(@)` ANSWER :C

Discussion

6527.	If a= 1+ log_(x) yz, b=1 + log_(y)zx and c=1 +log_(z)xy, the ab+bc +ca is:
Answer» 1 0 abc NONE of these ANSWER :C

Discussion

6528.	Let f(x)=x^2 and g(x)=sqrtx, then:
Answer» GOF(3)=9 gof(-3)=9 gof(3)=3 gof(-9)=3 Answer :C

Discussion

6529.	Evaluate the following : (20/13)^3
Answer» SOLUTION :8000/2197

Discussion

6530.	Out of these five people whose age is the greatest ?
Answer» Sachin Ganguli Kaif can't be determined Answer :A

Discussion

6531.	9 personswereinvitedfora business meetingbyambani , wherethe hostbe seatedat acircular tablehowmany differentarranements are possibleif twoinviteesviz .,saharaandmahindrabe seatedoneithersideof thehostambani ?
Answer» 10080 10800 9200 4600 Answer :A

Discussion

6532.	If the roots are real and rational, theh Which of the following is the most appropriate one?
Answer» `DGT0` `DLT0` D = 0 D is a PERFECT square Answer :D

Discussion

6533.	One day my assistant Rajesh went to a stationary shop to purchase marker pens.He purchased the pens for ₹52 and he gave a ₹100 note to the shopkeeper The shopkeeper offered Rajesh to take back ₹48in the denominations of only ₹1,₹2 and ₹5 .so Rajesh received total 26 coins from the shopkeeper Minimum number of ₹1 coins which Rajesh has with him if he has atleasst one coin of each denomination offered by the shopkeeper:
Answer» 4 5 7 10 Answer :C

Discussion

6534.	A report consists of 20 pages each of 55 lines and each such line consist of 65 characters. This report is reduced onto page each of 65 lines such that each line consists of 70 characters. The percentage reduction in number of pages is closer to
Answer» ANSWER :`20%`

Discussion

6535.	What is the mean proportional of (15+ sqrt200) and (27- sqrt 648)?
Answer» 4 `14sqrt7` `3SQRT5` `5SQRT3` ANSWER :C

Discussion

6536.	Den bosch and eastbourne are two famous cities 300 km apart. Maradona starts from den bosch at 8:24 am . An hour later pele starts from Den bosch . After travelling for 1 hour pele reaches nottingham and maradona had passed 40 minutes earlier . Nottingham falls on the way fom DEn bosch to eastbourne . if pele and maradona just reachs eastbourne at the same time what are the speeds of the maradona and pele respectively?
Answer» 100 km/h, 125 km/h 60 km/h, 80 km/h 60 km/h, 75 km/h 75 km/h, 100 km/h Answer :D

Discussion

6537.	. A retailer bought 3850 linc pens and 1848 cello pens at the same price. He sells linc pens in sucha way that he can buy 650 linc pens with the selling price of 481 linc pens but he can only buy408 cello pens with the selling price of 629 cello pens. What is his overall profit percentage?
Answer» ANSWER :1300/37%

Discussion

6538.	The remaider when 4^0 + 4^1 + 4^2 + 4^3 + …… + 4^10 is divided by 17 is:
Answer» a. 0 b. 16 c. 4 d. NONE of these Answer :D

Discussion

6539.	Ram and Shyam entered in a business by making investment of ₹ 4000&₹ 5500 respectively. After six months Ram & Shyam withdrew ₹1000 and ₹1500 respectively and Mohan joined them with capital of ₹ 4x. If after one year and three months Mohan received ₹2250 as profit share out of total profit of ₹12250, then find investment of Mohan ?
Answer» `₹ 3600` `₹ 3200` `₹ 4400` `₹ 3000` Solution :Investment RATIO of Ram, Shyam & Mohan `=(4000xx 6+3000xx9):(5500xx6+4000xx9):4x XX 9` `=51000:69000:36x` `=8500:11500:6x` ATQ- `(6x)/((20000+6x)xx12250` `x=750` investment of Mohan `=₹3000`

Discussion

6540.	If x= (sqrt87- sqrt71)/(sqrt55 + sqrt39) " & "y= (sqrt87 + sqrt71)/(sqrt55- sqrt39) then find (1)/(x+1) + (1)/(y+ 1)= ?
Answer» ANSWER :1

Discussion

6541.	A number between 1000 and 2000 which when divided by 30, 36 and 80 gives a remainder 11 in each case is:
Answer» 11523 1451 1641 1712 Answer :B

Discussion

6542.	Find the number of unique Prime factors of 210.
Answer» Solution :`210 = 2xx3xx5xx7` Therefore 210 has 4 UNIQUE prime factors, NAMELY, 2,3,5 and 7.

Discussion

6543.	A cubeof metal , each each ofwhich measures 4 cm, weighs 400 kgs. What is the length of each edge of a cube of the same metal which weighs 3200 kg?
Answer» 64 cm 8 cm 2 cm noneof these Answer :B

Discussion

6544.	A circletouches all the four sides of a quadrilateral A B C D. Provethat: A B+C D=B C+D A.
Answer» BC + DA = AB + CD ABCD is a rectangle ABCD is SQUARE None of these ANSWER :A

Discussion

6545.	In a car agency one day 120 cars were decorated with three different accessories viz., power window, AC and music system. 80 cars were decorated with power windows, 65 cars were decorated with AC and 8O carswere decorated with music systems. What is the minimum and maximum number of cars which were decorated with all of three accessories ?
Answer» 10,61 10,45 25,35 none of these Answer :D

Discussion

6546.	A retailer buys a cellphone at a discount of 15% and sells it for ₹ 5865. Thus, he makes a profit of 15%. The discount is
Answer» ₹ 200 ₹ 850 ₹ 750 ₹ 900 Answer :D

Discussion

6547.	A bus travels at the rate of 54 km/h without stoppages and it travels at 45 km/h with stoppages. How many minutes does the bus stop on an average per hour?
Answer» a. 8 min B. 10 min c. 12 min d. 4 min Answer :B

Discussion

6548.	A company offers total 150 pens to its customers. As per the scheme one pen will be offered on the purchase of a "Quantitative Aptitude" book. Out of 150 pens the cost of some pens is Rs. 3 and the cost of the rest pens is Rs 5. Maximum how many customers can avail a pen of Rs. 5 as an ofer from the company if the total cost of the pens cannot exceed Rs. 745.
Answer» 45 120 can't determined none of these Answer :D

Discussion

6549.	A and B can complete a task in 30 days when working together after A and B have been working together for 11 days, B is called away and A, all by himself completes the task in the next 28 days. Had A been working alone, the number of days taken by him to complete the task would have been :
Answer» `33 3/19` `19 6/25` `44 4/19` NONE of these Answer :C

Discussion

6550.	Brahma, Vishnu and Mahesh are three friends with different productivity. Brahma working alone needs as much time as Vishnu and Mahesh working together, while Vishnu himself needs 8 hours more working alone than when he works with Mahesh. Brahma working alone needs 8 hours less than Vishnu needs working alone. In how much time Brahma, Vishnu and Mahesh working together can complete the job?
Answer» 4 hours 5 hours 6 hours 8 hours Answer :C

Discussion

Explore topic-wise InterviewSolutions in .

There are 6 numbered chairs placed around a circular table. 3 boys and 3 girls want to sit on them such that neither of two boys nor two girls sit adjacent to each other. How many such arrangements are possible?

Solve the following expression : 16/5 + 3/8 + 11/10

(2^(112))/(9)find R.

For the natural numbers n_1 and n_2 if 2n_1 + 3n_2 = n_1 xx n_2, then the least possible value of the 2n_1 + 3n_2 is :

If |(30-x)/(3)|lt4, then find x

What is the maximum value of the expression 5-6x-x^(2)

A certain sum amounts to ₹ 8988.8 in two years and to ₹ 9528.128 in three years, at compound interest per annum. What is the principal and rate of interest?

On walking 120 m towards a chimney in a horizonatal line through its base the angle of elevation of tip of the chimney changes from 30^@ " to " 45^@. The height of the chimney is

If log_(10)a + log_(10) b =c, then the value of a is:

The sum of all the 3-digit numbers, each of which on division by 5 leaves remainder 3

(cosectheta-sintheta)(sectheta-costheta)(tantheta+cottheta)=?

If cos A = 3/4 then the value of 32sin( A/2)* sin (5A/2) is_____.

A alone con finish a piece of work in 12 days and B alone can do it in 15 days. If both of them work at it together, how much time will they take to finish it ?

Nikita invested Rs. 8000 for 3 years at 5% CI in a post office. If the interest is compounded once in a year, what sum will she get after 3 years?

If an integer p is such that (8p+1) is prime, where pgt2, then (8p-1) is:

After travelling 25 km the speed of the car increases by 1/4th of its original speed, due to this the car reaches 30 minutes earlier on its destination. If the speed of the car increased 10 km before, then it reached to its dentination 32(2)/(5)mintues earlier. The find the speed of car :

A car moving at the speed of 36 km/hr crosses a bridge in 5 minutes. What is the length of the bridge in meters ?

(x-2) men can do a piece of work in x days and (x+7) men can do 75% of the same work in (x-10) days. Then in how many days can (x+10) men finish the work?

The number of students in three classes are in the ratio 1:3:5. If 60 students are increased in each class, the ratio changes to 3:5:7. Originally, the total number of students was :

A person sells his table at a profit of 12(1)/(2)% and the chair at a loss of 8(1)/(3)% but on the whole he gains Rs 25. On the other hand if he sells the table at a loss of 8(1)/(3% and the chair at a profit of 12(1)/(2)% then he neither gains nor loses. Find the cost price of the table.

Two persons A and B throw a coin alternatively till one of them gets head and wins the game. Find their respective probabilities of winning.

Find the value of tan80^(@)

If a= 1+ log_(x) yz, b=1 + log_(y)zx and c=1 +log_(z)xy, the ab+bc +ca is:

Let f(x)=x^2 and g(x)=sqrtx, then:

Evaluate the following : (20/13)^3

Out of these five people whose age is the greatest ?

9 personswereinvitedfora business meetingbyambani , wherethe hostbe seatedat acircular tablehowmany differentarranements are possibleif twoinviteesviz .,saharaandmahindrabe seatedoneithersideof thehostambani ?

If the roots are real and rational, theh Which of the following is the most appropriate one?

A report consists of 20 pages each of 55 lines and each such line consist of 65 characters. This report is reduced onto page each of 65 lines such that each line consists of 70 characters. The percentage reduction in number of pages is closer to

What is the mean proportional of (15+ sqrt200) and (27- sqrt 648)?

. A retailer bought 3850 linc pens and 1848 cello pens at the same price. He sells linc pens in sucha way that he can buy 650 linc pens with the selling price of 481 linc pens but he can only buy408 cello pens with the selling price of 629 cello pens. What is his overall profit percentage?

The remaider when 4^0 + 4^1 + 4^2 + 4^3 + …… + 4^10 is divided by 17 is:

If x= (sqrt87- sqrt71)/(sqrt55 + sqrt39) " & "y= (sqrt87 + sqrt71)/(sqrt55- sqrt39) then find (1)/(x+1) + (1)/(y+ 1)= ?

A number between 1000 and 2000 which when divided by 30, 36 and 80 gives a remainder 11 in each case is:

Find the number of unique Prime factors of 210.

A cubeof metal , each each ofwhich measures 4 cm, weighs 400 kgs. What is the length of each edge of a cube of the same metal which weighs 3200 kg?

A circletouches all the four sides of a quadrilateral A B C D. Provethat: A B+C D=B C+D A.

A retailer buys a cellphone at a discount of 15% and sells it for ₹ 5865. Thus, he makes a profit of 15%. The discount is

A bus travels at the rate of 54 km/h without stoppages and it travels at 45 km/h with stoppages. How many minutes does the bus stop on an average per hour?

A and B can complete a task in 30 days when working together after A and B have been working together for 11 days, B is called away and A, all by himself completes the task in the next 28 days. Had A been working alone, the number of days taken by him to complete the task would have been :