8677 + Interview Questions in Maths in Class 14 Page 112 InterviewSolution

5551.	A man had a table to sell. I offered him a sum of money for the table which he refused as being 13% below the value of the table. I then offered Rs 450 more and the second offer was 5% more than the estimated value. Find the value of the table.
Answer» ANSWER :RS. 25000

Discussion

5552.	If (x^(3)+(1)/(x^(3)))=2, then the value of (x+(1)/(x)) is :
Answer» 1 2 3 4 Answer :B

Discussion

5553.	The angle of elevation of the sun when the length of the shadow of a pole is equal to its height is:
Answer» a. 30degree b. 45degree C. 60degree d. NONE of these Answer :C

Discussion

5554.	(2sin68^(@))/(cos22^(@))-(2cot15^(@))/(5tan75^(@))-(3tan45^(@).tan20^(@).tan40^(@).tan50^(@).tan70^(@))/(5) is equal to
Answer» a) `-1` b) 0 c) 1 d) 2 Answer :C

Discussion

5555.	In a 100 mrace, Acovers thewhole distance in 36 seconds and Bin 45seconds. In this race, Abeats Bby(a) 20m (b) 25 m (c) 22.5 m (d) 9 m
Answer» SOLUTION :N/A

Discussion

5556.	A candidate scores 25% and fails by 60 marks, while an another candidate who scores 50% marks ,gets 40 marks more than the minimum required marks to pass the examination.Find the maximum marks for the examination.
Answer» ANSWER :400

Discussion

5557.	A milkman brings 100 litres pure milk from a dairy farmer and he sells 10 litres of it to the first customer, then he refills his vessel by adding 10 litres water. After this, he proceeds to the next house and sells 10 litres of it to the second customer and then he refills his vessel again by adding 10 litres of water. Thus every time he sells 10 litres of milk-pure or impure - he keeps on replacing it with 10 litres of pure water. Maximum how many customers can get at least 50% milk in the mixture that they purchase from this milkman?
Answer» 5 6 7 None of these Answer :C

Discussion

5558.	Find the remainder when 11^8 is divided by 7.
Answer» SOLUTION :`11^8/7=11xx11xx11xx11xx11xx11xx11xx11/7` =`4xx4xx4xx4xx4xx4xx4xx4/7` =`16xx16xx16xx16/7` =`2xx2xx2xx2/7=16/7` THUS the requried remainder=2

Discussion

5559.	If cosA+cos^(2)A=1, then find the value of sin^(8)A+2sin^(6)A+sin^(4)A.
Answer» `-1` 5 0 1 Answer :D

Discussion

5560.	What is the least number which when divided by the number 3, 5, 6, 8, 10 and 12 leaves in each case a remainder 2 but when divided by 22 leaves no remainder?
Answer» 312 242 1562 1586 Answer :B

Discussion

5561.	A motor boat takes 2 hours to travel a distance of 9 km downstream and it takes 6 hours tomtravel the same distance against the current.The speed of the boat in still water and that of the current (in km/h) respectively are:
Answer» 6,5 3,1.5 8,5 9,3 Answer :B

Discussion

5562.	In the zoolozical park lucknow there are four kinds of animals viz. Elephant, monkey, lion and tiger which are in increasing G.P. and in the local zoo in Kanpur there are the same knds of animals but in A.P. The number of elephants is least and equal in each of the places. Also the number of monkeys in each of the places is same but just greater than that of elephants . Total number of animals in zoological park is 50% more than that of local zoo. Also the common ratio of the G.P. is same as the common difference of the A.P. Number of tigers in both the places is maximum. What is the number of lions in zoological park Lucknow :
Answer» 5 6 8 can't be determine Answer :C

Discussion

5563.	In the zoolozical park lucknow there are four kinds of animals viz. Elephant, monkey, lion and tiger which are in increasing G.P. and in the local zoo in Kanpur there are the same knds of animals but in A.P. The number of elephants is least and equal in each of the places. Also the number of monkeys in each of the places is same but just greater than that of elephants . Total number of animals in zoological park is 50% more than that of local zoo. Also the common ratio of the G.P. is same as the common difference of the A.P. Number of tigers in both the places is maximum. What is the number of elephants in each of the places ?
Answer» 1 2 3 4 Answer :B

Discussion

5564.	Four friends have 7 shirts, 6 paints and 8 ties. In how many ways can they wear them?
Answer» A. 336000 B. 33600 C. 12480 D. 508032000 Answer :D

Discussion

5565.	The natural numbers are written as follows: The sum of numbers in the nth row is:
Answer» `(N(n+1))/2` `(n^2+1)/2` `(n(n^2+1))/2` none Answer :C

Discussion

5566.	The ratio of milk and water in a mixture of 45 lt is 4 : 5. We added 5 lt milk and 10 lt water to the mixture then find the ratio of milk and water.
Answer» `2:1` `3:4` `5:7` `1:1` ANSWER :A::B::C::D

Discussion

5567.	The side of a regular decagon is 2 cm Find the apothem of the decagon.
Answer» `sqrt5+root(2)(5)/5` `sqrt5+root(2)(5)/10` `sqrt5+root(4)(5)/2` `sqrt10+sqrt5/4` ANSWER :A

Discussion

5568.	A can give 40 m start to B and 70 m to C in a race of 1 km. How many metres start can B give to C in a race of 1 km?
Answer» SOLUTION :N/A

Discussion

5569.	Ifthe average of 116 consecutiveeven number is 201. Find the sum of first and last number
Answer» ANSWER :402

Discussion

5570.	3(3)/(8)xx6(5)/(12)-2(3)/(16)xx3(1)/(2)=?
Answer» 21 18 14 15 Solution :`3(3)/(8)xx6(5)/(12)-2(3)/(16)xx3(1)/(2)` `(27)/(8)xx(77)/(12)-(35)/(16)xx(7)/(2)` `(2079)/(96)-(245)/(32)=(2079-735)/(96)=14`

Discussion

5571.	Solve for x:sqrt(x^(2)+x-6)-x+2=sqrt(x^(2)-7x+10), x in R
Answer» ANSWER :`X=6, x=-(10)/(3)`

Discussion

5572.	cos^(2)A(3-4cos^(2)A)^(2)+sin^(2)A(3-4sin^(2)A)^(2)=?
Answer» 1 sin4A cos4A 0 Answer :A

Discussion

5573.	If a:b=2:3, then (5a+b):(3a+2b) is
Answer» 0.55 0.63680555555556 0.50902777777778 0.54930555555556 Answer :A

Discussion

5574.	AB is a diameter of radius 4.5 cm circle. P is any point on the circumference of circle such that PNbotAB.Iflength of chord PB is 6 cm . Then BN = ?
Answer» 5 cm 4 cm 6 cm 4.5 cm Answer :B

Discussion

5575.	Find the area of the sector of circle if length of arc is 10 cmand radius = 9 cm
Answer» Answer :`(1)/(2) R^(2) sin Q `

Discussion

5576.	Solve the following expressions :8+(-4)+10-(-1)
Answer»

Discussion

5577.	The sum of Rs. 56000 is divided among A, B, C such that C gets 4/3 of A and B, while A:B = 5 : 7. Then all three get separately?
Answer» `10000, 14000, 32000` `10000, 14000, 30000` `80000, 17000, 31000` `30000, 16000, 10000` ANSWER :A

Discussion

5578.	10 years a go the average age of all the 25 teachers of the girls college was 45 years. 4 years a go the principal has retired from her post at the age of 60 year. So after one year a new principal whose age was 54 years recruited from outside . The present average age of all the teachers is if principal is also considered as a teacher:
Answer» 54(18/25)years 55(17/25) years 49(1/2) years none of these Answer :A

Discussion

5579.	A milkman has 20 liters of milk. If he mixes 5 liters of water, which is freely available, in 20 liters f pure milk. If the cost of pure milk is rs 18 per litre, then the profit of the milkman, when he sells all the mixture at cost price is:
Answer» `20%` `25%` `33.33%` `18%` ANSWER :B

Discussion

5580.	The range of the function y=(x^2)/(1+x^4) is :
Answer» `[0,INFTY)` [0,2] (0,1/2) [0,1/2] ANSWER :D

Discussion

5581.	If a^(2) + b^(2) + c^(2) =ab + bc + ca find (a + c)/(b)= ?
Answer» ANSWER :2

Discussion

5582.	triangleLMN is right angled at M. If M - N=60^(@)," then tan L="
Answer» `√3` `1/sqrt3` `1/sqrt2` 2 Answer :B

Discussion

5583.	Assume that a mango and its speed , both are spherical , now if the radius of seed is2/(5) of the thickness of the pulp . The seed lies exactly at the centre of the fruit . What percentof the total volume of the mango is its pulp ?
Answer» a. `63""(3)/(5)%` b. `97.67%` c. `68""(2)/(3)%` d. NONE of these Answer :B

Discussion

5584.	No of prime factors of 2^(13)3^(15)5^(16).
Answer» ANSWER :`=44`

Discussion

5585.	An architecture company built 200 bridges 400 hospitals and 600 hotels, The probability of damage due to earthquake of a bridge, hospital and hotel is 0.01,0.03 and 0.15 respectively. One of the construction gets dagaged with earthquake. What is the probability that it is a bridge?
Answer» `1/26` `1/52` `7/52` none Answer :B

Discussion

5586.	PDeltaQ=P+Q, if PQ lt0 PDeltaQ=P-Q, if PQ gt0 If (a Deltab)Delta(aDelta-b)=0 and a gt0 then which of the following is true?
Answer» `a LT B and b gt0` `\|a\| GT \|b\| and b lt 0` `a gt b and b gt 0` all of these Answer :D

Discussion

5587.	If A, B and C be the angles of a triangle, then which of the following is incorrect relation :
Answer» `sin""(A+B)/(2)=COS""(C )/(2)` `cos((A+B)/(2))=sin""(C )/(2)` `tan""((A+B)/(2))=sec""(C )/(2)` `COT""((A+B)/(2))=tan""(C )/(2)` ANSWER :C

Discussion

5588.	A squarefield of 2sq. Km is to be divided into two equal parts by a wall which coincides with a diagonal. Find the length of the wall :
Answer» `SQRE 2` 1 km 4.2 km 2 km Answer :D

Discussion

5589.	If perimeterof an isocelesDeltais 64 cm and height is 8 cm find area .
Answer» ANSWER :`120 CM^(2)`

Discussion

5590.	The rate of increase of the price of sugar is observed to be two percent more than the inflation rate expressed in percentage. The price of sugar, on January 1, 1994 is Rs. 20 per kg. The inflation rates of the years 1994 and 1995 are expected to be 8% each. The expected price of sugar on January 1, 1996 would be :
Answer» ₹23.60 ₹24.00 ₹24.20 ₹24.60 Answer :C

Discussion

5591.	If alpha and beta are the roots of ax^2+bx+c=0 and alpha+beta,alpha^2+beta^2,alpha^3+beta^3 are in GP (Geometic Progression) and Dwlta-b^2-4acthen
Answer» `Deltane0` `bDelta=0` `cDelta=0` `Delta=0` ANSWER :C

Discussion

5592.	A certain amount was to be distributed among A,B and C in the ratio 2:3:4 respectively, but was erroneously distributed the ratio 7:2:5 respectively. As a result of this, B goty ₹ 40 less. What is the amount ?
Answer» `₹210//-` `₹270//-` `₹230//-` `₹280//-` SOLUTION :Let amount of `B=₹ x` B's Share without error `=("B's ratio")/("Total ratio")xx "Total Amount "` `x=(3)/(9) xx " Total Amount"` B's Share after error`=("B's new ratio")/("Total newratio")xx "Total Amount "` ` x-40=(2)/(14)xx " Total Amount" ......(2)` From equation (1) and (2) `3x=7(x-40) ` `3x-7x=-280` `THEREFORE x=70` Total Amount `=7(70-40)=₹ 210`

Discussion

5593.	Find the remainder when the expression 3x^3+6x^2-7x+6 is divided by x +3.
Answer» 1 0 5 6 Answer :B

Discussion

5594.	Sunil buys an article with 20% discount on its marked price. He makes a profit of 10% by selling it at 1100. find its marked price.
Answer» 1400 3100 1250 4500 Answer :C

Discussion

5595.	Find the remainder when 123 xx 1234 is divided by 15.
Answer» SOLUTION :The REMAINDER of `(123xx1234)`/15=Remainder of `3xx4/15` Remainder of 12/15=12

Discussion

5596.	A committee of 5 persons is to be formed out of 6 gents and 4 ladies. In how many ways this can be done, when at most two ladies are included ?
Answer» 186 168 136 169 Answer :A

Discussion

5597.	One side of an equilateral triangle is 24 cm. The midpoints of its sides are joined to form another triangle whose midpoints are in turn joined to form still another triangle this process continues indefinitely. The sum of the perimeters of all the triangles is
Answer» 144 cm 72 cm 536 cm 676 cm Answer :A

Discussion

5598.	When a producer allows 36% commission on the retail price of his product, he earns a profit of 8.8%. What would be his profit percent, if the commission is reduced to 24%.
Answer» ANSWER :0.275

Discussion

5599.	A has 50 coins of 10 paise denominations. While B has 10 coins of 50 paise denominations. C has 20 coins of 25 paise denomination while D has 25 coins of 20 paise denominations. The average number of paise per person is :
Answer» 450 paise 500 paise 600 paise can't be determined Answer :B

Discussion

5600.	If alpha, beta be the roots of the quadratic equation 3x^(2)-6x+4=0, find the value of ((alpha)/(beta)+(beta)/(alpha))+2((1)/(alpha)+(1)/(beta))+3alpha beta:
Answer» 6 8 7 5 Answer :B

Discussion

Explore topic-wise InterviewSolutions in .

A man had a table to sell. I offered him a sum of money for the table which he refused as being 13% below the value of the table. I then offered Rs 450 more and the second offer was 5% more than the estimated value. Find the value of the table.

If (x^(3)+(1)/(x^(3)))=2, then the value of (x+(1)/(x)) is :

The angle of elevation of the sun when the length of the shadow of a pole is equal to its height is:

(2sin68^(@))/(cos22^(@))-(2cot15^(@))/(5tan75^(@))-(3tan45^(@).tan20^(@).tan40^(@).tan50^(@).tan70^(@))/(5) is equal to

In a 100 mrace, Acovers thewhole distance in 36 seconds and Bin 45seconds. In this race, Abeats Bby(a) 20m (b) 25 m (c) 22.5 m (d) 9 m

A candidate scores 25% and fails by 60 marks, while an another candidate who scores 50% marks ,gets 40 marks more than the minimum required marks to pass the examination.Find the maximum marks for the examination.

Find the remainder when 11^8 is divided by 7.

If cosA+cos^(2)A=1, then find the value of sin^(8)A+2sin^(6)A+sin^(4)A.

What is the least number which when divided by the number 3, 5, 6, 8, 10 and 12 leaves in each case a remainder 2 but when divided by 22 leaves no remainder?

A motor boat takes 2 hours to travel a distance of 9 km downstream and it takes 6 hours tomtravel the same distance against the current.The speed of the boat in still water and that of the current (in km/h) respectively are:

Four friends have 7 shirts, 6 paints and 8 ties. In how many ways can they wear them?

The natural numbers are written as follows: The sum of numbers in the nth row is:

The ratio of milk and water in a mixture of 45 lt is 4 : 5. We added 5 lt milk and 10 lt water to the mixture then find the ratio of milk and water.

The side of a regular decagon is 2 cm Find the apothem of the decagon.

A can give 40 m start to B and 70 m to C in a race of 1 km. How many metres start can B give to C in a race of 1 km?

Ifthe average of 116 consecutiveeven number is 201. Find the sum of first and last number

3(3)/(8)xx6(5)/(12)-2(3)/(16)xx3(1)/(2)=?

Solve for x:sqrt(x^(2)+x-6)-x+2=sqrt(x^(2)-7x+10), x in R

cos^(2)A(3-4cos^(2)A)^(2)+sin^(2)A(3-4sin^(2)A)^(2)=?

If a:b=2:3, then (5a+b):(3a+2b) is

AB is a diameter of radius 4.5 cm circle. P is any point on the circumference of circle such that PNbotAB.Iflength of chord PB is 6 cm . Then BN = ?

Find the area of the sector of circle if length of arc is 10 cmand radius = 9 cm

Solve the following expressions :8+(-4)+10-(-1)

The sum of Rs. 56000 is divided among A, B, C such that C gets 4/3 of A and B, while A:B = 5 : 7. Then all three get separately?

A milkman has 20 liters of milk. If he mixes 5 liters of water, which is freely available, in 20 liters f pure milk. If the cost of pure milk is rs 18 per litre, then the profit of the milkman, when he sells all the mixture at cost price is:

The range of the function y=(x^2)/(1+x^4) is :

If a^(2) + b^(2) + c^(2) =ab + bc + ca find (a + c)/(b)= ?

triangleLMN is right angled at M. If M - N=60^(@)," then tan L="

Assume that a mango and its speed , both are spherical , now if the radius of seed is2/(5) of the thickness of the pulp . The seed lies exactly at the centre of the fruit . What percentof the total volume of the mango is its pulp ?

No of prime factors of 2^(13)3^(15)5^(16).

An architecture company built 200 bridges 400 hospitals and 600 hotels, The probability of damage due to earthquake of a bridge, hospital and hotel is 0.01,0.03 and 0.15 respectively. One of the construction gets dagaged with earthquake. What is the probability that it is a bridge?

PDeltaQ=P+Q, if PQ lt0 PDeltaQ=P-Q, if PQ gt0 If (a Deltab)Delta(aDelta-b)=0 and a gt0 then which of the following is true?

If A, B and C be the angles of a triangle, then which of the following is incorrect relation :

A squarefield of 2sq. Km is to be divided into two equal parts by a wall which coincides with a diagonal. Find the length of the wall :

If perimeterof an isocelesDeltais 64 cm and height is 8 cm find area .

If alpha and beta are the roots of ax^2+bx+c=0 and alpha+beta,alpha^2+beta^2,alpha^3+beta^3 are in GP (Geometic Progression) and Dwlta-b^2-4acthen

A certain amount was to be distributed among A,B and C in the ratio 2:3:4 respectively, but was erroneously distributed the ratio 7:2:5 respectively. As a result of this, B goty ₹ 40 less. What is the amount ?

Find the remainder when the expression 3x^3+6x^2-7x+6 is divided by x +3.

Sunil buys an article with 20% discount on its marked price. He makes a profit of 10% by selling it at 1100. find its marked price.

Find the remainder when 123 xx 1234 is divided by 15.

A committee of 5 persons is to be formed out of 6 gents and 4 ladies. In how many ways this can be done, when at most two ladies are included ?

One side of an equilateral triangle is 24 cm. The midpoints of its sides are joined to form another triangle whose midpoints are in turn joined to form still another triangle this process continues indefinitely. The sum of the perimeters of all the triangles is

When a producer allows 36% commission on the retail price of his product, he earns a profit of 8.8%. What would be his profit percent, if the commission is reduced to 24%.

A has 50 coins of 10 paise denominations. While B has 10 coins of 50 paise denominations. C has 20 coins of 25 paise denomination while D has 25 coins of 20 paise denominations. The average number of paise per person is :

If alpha, beta be the roots of the quadratic equation 3x^(2)-6x+4=0, find the value of ((alpha)/(beta)+(beta)/(alpha))+2((1)/(alpha)+(1)/(beta))+3alpha beta: