8677 + Interview Questions in Maths in Class 14 Page 106 InterviewSolution

5251.	A trader marks-up his goods by 80% and gives discount of25%. Besides it he weighs 10% less amount while selling his goods. What is the net profit of trader?
Answer» `50%` `35%` `45%` `55%` ANSWER :A

Discussion

5252.	Loss % on selling an article for Rs 50 is equal to the profit % on selling the same article for Rs 70 . Find profit/loss %.
Answer» ANSWER :`16(2)/(3)%`

Discussion

5253.	How many total squares are there in a standard chess board (or check board)?
Answer» 65 204 256 206 Answer :B

Discussion

5254.	There are 9 subjects in eighth standard but there are only 6 periods in a day. In how many ways can the time table be formed?
Answer» 60480 23460 56780 61280 Answer :A

Discussion

5255.	If 875A21B is divisible by 9. B is aneven number Find the sumof all values of A
Answer» ANSWER :27

Discussion

5256.	If [x] means the greatest integer less than or equal to x and {x} means the least greater than or equal to x and \|x\| means the absclute value value of x, then{x} equal to :
Answer» -1 0 1 any ONE of (a), (B), (C ) ANSWER :D

Discussion

5257.	If a,b,c are in GP then log_(10)a, log_(10)b, log_(10)c are in
Answer» GP HP AP none of these Answer :C

Discussion

5258.	In the right angle ABC. BD divides the triangle ABC into two triangles of equal perimeters . Find the length of BD, given thatAC=100, BC=80. angle B=90^(@)
Answer» ANSWER :`24sqrt5`

Discussion

5259.	A coinis tossedsuccessivelythree times. Findthe propability ofgetting no heads .
Answer» 0 1 `1/8` `7/8` ANSWER :C

Discussion

5260.	Ratio of Rama's expenditure and saving is 5 : 3. If his income is increased by 12%and expenditure is increased by 15% , find his savings increase
Answer» ANSWER :`7%`

Discussion

5261.	A man can row 5 km/h in still water .if the rate of the current is 1 km/h it takes 5/4 hours to row to a place and back.how far is the place?
Answer» 2 km 2.5 km 3 km/h 4 km Answer :C

Discussion

5262.	If ABCD is a rhombus, then :
Answer» `AC^2+BD^2=4AB^2` `AC^2+BD^2=AB^2` `AC^2+BD^2=2AB^2` `2(AC^2+BD^2)=3AB^2` ANSWER :A

Discussion

5263.	Find the range of f(x)=(x^(2)-2)/(x^(2)-3 :
Answer» (1,`INFTY`) `(-infty 2//3]` `(-infty,2//3)` (`-infty,2/3]CUP(1,infty)` ANSWER :D

Discussion

5264.	If the pth, qth and rth terms of an A.P. are a,b,c respectively , then the value of a(q-r) + b(r-p) + c(p-q)is :
Answer» 0 1 abc pqr Answer :A

Discussion

5265.	(a + 1)(b-1) =625, (a != b) in I^(+) then the value of (a +b) is
Answer» `a+B GE 25` `a+bge50` a+b=24 a+b = 26 Answer :B

Discussion

5266.	The prices of Bajaj scooter and Bajaj pulser are in the ratio of 4:9. If the Bajaj Pulser costs30000 more than a Bajaj Scooter, the price of Bajaj Scooter is
Answer» ₹63000 ₹24000 ₹54000 ₹60000 Answer :B

Discussion

5267.	At what rate per cent per annum compound interest, will Rs. 2304 amount to Rs. 2500 in 2 years?
Answer» ANSWER :`4(1)/(6)%`

Discussion

5268.	The value of 1/(p+ q^(-1) + 1) + 1/(q+ r^(-1) + 1) + 1/(1 + r + p^(-1)) given that pqr = 1 is :
Answer» 1 0 (p+q+r)-1 p+q+r Answer :A

Discussion

5269.	If2x = sqrt(a) - (1)/(sqrt(a)) , then the value of(sqrt(x^(2) + 1))/(x + sqrt(x^(2) +1)) is
Answer» a+1 `(1)/(2)((a+1)/(a))` `(1)/(2) ((a-1)/(a))` `a-1` ANSWER :B

Discussion

5270.	a : b=4 : 9 if 4 is added to both of the numbers then the new ratio becomes 21 : 46. What is the difference between a and b?
Answer» 80 100 125 130 Answer :B

Discussion

5271.	The value of (2^(log3^(7) - 7^(log _(3)2))) is
Answer» 0 1 `log_(7)5` `log_(7)6` ANSWER :A

Discussion

5272.	Santosh spends and saves his income in the ratio 8 : 5. He spends20%of his expenditure on food and 40%of his expenditure on clothes. He deposits60% of his savings in bank. Money spends by him on clothes is what percent of money deposited in bank.
Answer» ANSWER :`106 (2)/(3)%`

Discussion

5273.	A and B can do a piece of work in 20 days and 30 days respectively. A start the work and they do this work in alternate days. In how many days will this work be completed ?
Answer» ANSWER :24 DAYS

Discussion

5274.	A has 50 coins of 10 paise denominations while B has 10 coins of 50 paise denominations.C has 20 coins of 25 paise denominations while D has 25 coins of 20 paise denomination the average number of paise per person is:
Answer» 450 paise 500 paise 600 paise can't be determined Answer :B

Discussion

5275.	A person borrows Rs. 5000 for 2 years at 4% per annum simple interest . He immediately lends it to another person at 6 (1)/(4)% per annum simple interest for 2 years. Find his gain in this transaction.
Answer» ANSWER :s. 25

Discussion

5276.	Arvind and Govind each invested ₹ 15000 for 3 years at the same rate of interest but Arvind investment is compounded annually while Govind investment is charged on simple interest. What amount did .Arvind receive more than Govind?
Answer» ₹ 680 ₹ 3450 data INSUFFICIENT NONE of these Answer :C

Discussion

5277.	Priyanka has only 25 paise coins and 50 paise coins in her purse if in all she has 40 coins totalling ₹12.75 how many coins of ₹25 paise does she have?
Answer» 30 29 32 26 Answer :B

Discussion

5278.	From the 50 litres of milk, 5 litres of milk is taken out and after it 5 litres of water is added to the rest amount of milk. Again 5 litres of mixture of milk and water is drawn out and it was replaced by 5 litres of water. If this process is continued similarly for the third time, the amount of milk left after the third replacement:
Answer» 45 L 36.45 L 40.5 L 42.5 L Answer :B

Discussion

5279.	What is the maximum integral value of m, if n
Answer» -34 -286 34 -33 Answer :A

Discussion

5280.	If x be real, find the maximum value of ((x+2))/((2x^(2)+3x+6))
Answer» ANSWER :`-(1)/(13) and (1)/(3)`

Discussion

5281.	A square and a rhombus have the same base and rhombus is inclined at 30^(@). What is the ratio of area of the square to the area of the rhombus.
Answer» `sqrt2:1` `2:1` `1:1` `2:SQRT3` ANSWER :B

Discussion

5282.	Mutiply 17 by 22.
Answer» SOLUTION :STEP 1: 22-17 =5 Step 2: `5/2 = 2.5` Step 3: 17 + 2.5 = 22- 2.5 = 19.5 Step 4:`(19.5)^2 - (2.5)^2` = 380.25 - 6.25 = 374.00

Discussion

5283.	A point X inside a rectangle PQRS is joined to the vertices then, which of the following is true:
Answer» `A(DeltaPSX)=A(DeltaRXQ)` `A(DeltaPSX)+A(DeltaPXQ)=A(DeltaRSX)+A(DeltaRQX)` `A(DeltaPSX)+A(DeltaRXQ)=A(DeltaSRX)+A(DeltaPXQ)` NONE of these Answer :C

Discussion

5284.	ABCD is a quadrilateral such that angleD=90^(@). A circle C of radius r touches the sides AB, BC, CD and DA at P, Q, R and S respectively. IfBC = 38 cm, CD = 25 cm and BP = 27 cm. Find r
Answer» ANSWER :B

Discussion

5285.	For which values of x between 0and2pi, then 2cosec2x cot x-cot^(2)x=1 is true :
Answer» 0 2 1 for all X ANSWER :D

Discussion

5286.	A man can cross a downstream river by steamer in 40 minutes and same by boat in 1 hour. If the time of crossing the river in upstream direction by steamer is 50% more than downstream time by then steamer and the time required by boat to cross the same river by boat in upstream is 50% more than the time required in downstream by boat. What is the taken for the man to cross the river downstream by steamer and then return to same place by boat half the way and by steamer the reat of the way?
Answer» SOLUTION :N/A

Discussion

5287.	The speeds of scooter, car and train are in the ratio of 1 : 4 : 16. If all of them covers equal distance then the ratio of time taken/velocity for the each of the vehicle is :
Answer» 16:4:1 4:3:2 6:5:4 1:3:4 Answer :A

Discussion

5288.	Consider the following diagrams x men, working at constant speed, do a certain job in y days. Which one of these diagrams shows the relation between x andy?
Answer» DIAGRAM I diagram II diagram III diagram IV ANSWER :D

Discussion

5289.	If tan theta=(a)/(b), find the value of (a sin theta-b cos theta)/(asin theta+b cos theta)
Answer» `(a^2-b^2)/(a^2+b^2)` `(b^2-a^2)/(b^2+a^2)` `(a^2+b^2)/(a^2-b^2)` NONE of these Answer :A

Discussion

5290.	In what time does a sum of money becomes 4 times of itself at simple interest rate of 15% per annum .
Answer» ANSWER :20 YEARS

Discussion

5291.	Which of the following is correct it A = 3^(3^3^3) , B = 3^(33^3), C = 3^(3^33) and D = 3^(333) ?
Answer» a. `A GT B= C gt D` b. `C gt A gt B gt D` c. `A gt C gt D gt B` d. `C gt B gt D gt A` ANSWER :B

Discussion

5292.	The sum of the circumferences of two circles which touch each other externally is 176 cm. What is the ratio of the radius of the larger circle to that of the smaller circle, if the sum of squares of the radii of the circles is 400 cm ?
Answer» `7 : 8` `8 : 7` `3 : 4` `4 : 3` ANSWER :D

Discussion

5293.	Neither it's the longest one nor it's the shortest one of the lengths of the diagonal of an octagon you know is d and each side of the same octagon is s, find the area of the octagon in terms of the side and the known diagonal of the regular octagon.
Answer» `3d^2-sqrt3s^2` `d^2-s^2` 2ds BOTH (B) AND (C) ANSWER :D

Discussion

5294.	If cot theta+costheta=m and cot theta-costheta=n, then find the value of m^(2)-n^(2).
Answer» a) `SQRT(MN)` B) `2sqrt(mn)` C) `3sqrt(mn)` d) `4sqrt(mn)` ANSWER :D

Discussion

5295.	An alloy contains the copper and aluminium in the ratio of 7:4 . While making the weapons from this alloy, 12% of the alloy got destroyed. If there is 12 kg of aluminiumin the weapon , then the weight of the alloy required in :
Answer» 48 kg 40kg 37.5kg 14.4 kg Answer :C

Discussion

5296.	The radii of two cones are equal and their slant heights are in the ratio 3:2. If the curved surface areaof the smaller cone is300 cm^(2), then the curved surface area of the bigger cone ( incm^2) is :
Answer» 250 450 150 200 Answer :B

Discussion

5297.	What is the value of x when ^(11)C_x is maximum ?
Answer» 7 6 5 BOTH (B) AND ( C) ANSWER :D

Discussion

5298.	A spherical ballon of radius r subtends angle 60^(@) at the eye of an observer. If the angle of elevation of its centre is 60^(@) and h is the height of the centre of the ballon, then which one of the following is correct ?
Answer» H = r h = `sqrt2` r h = `SQRT3`r h = 2r Answer :C

Discussion

5299.	Out of 13 applicants for a job, there are 5 women and 8 men It is desired to select 2 persons for the job. The probability that atleast one of the selected persons will be a woman is.
Answer» a. `25/39` B. `31/65` C. `25/69` d. `5/13` ANSWER :A

Discussion

5300.	At East End Mall, burgers can be bought in quantities of either 6,9 or 20 only. For example one can purchase 26(20 + 6), 15(6 + 9) and 24(9 xx 2 + 6) etc. but can't purchase 10 burgers i.e., without any lot. What is largest number of burgers that can be purchased ?
Answer» a. 83 B. 37 c. can't be DETERMINED d. NONE of (a), (b) and (c) Answer :D

Discussion

Explore topic-wise InterviewSolutions in .

A trader marks-up his goods by 80% and gives discount of25%. Besides it he weighs 10% less amount while selling his goods. What is the net profit of trader?

Loss % on selling an article for Rs 50 is equal to the profit % on selling the same article for Rs 70 . Find profit/loss %.

How many total squares are there in a standard chess board (or check board)?

There are 9 subjects in eighth standard but there are only 6 periods in a day. In how many ways can the time table be formed?

If 875A21B is divisible by 9. B is aneven number Find the sumof all values of A

If [x] means the greatest integer less than or equal to x and {x} means the least greater than or equal to x and |x| means the absclute value value of x, then{x} equal to :

If a,b,c are in GP then log_(10)a, log_(10)b, log_(10)c are in

In the right angle ABC. BD divides the triangle ABC into two triangles of equal perimeters . Find the length of BD, given thatAC=100, BC=80. angle B=90^(@)

A coinis tossedsuccessivelythree times. Findthe propability ofgetting no heads .

Ratio of Rama's expenditure and saving is 5 : 3. If his income is increased by 12%and expenditure is increased by 15% , find his savings increase

A man can row 5 km/h in still water .if the rate of the current is 1 km/h it takes 5/4 hours to row to a place and back.how far is the place?

If ABCD is a rhombus, then :

Find the range of f(x)=(x^(2)-2)/(x^(2)-3 :

If the pth, qth and rth terms of an A.P. are a,b,c respectively , then the value of a(q-r) + b(r-p) + c(p-q)is :

(a + 1)(b-1) =625, (a != b) in I^(+) then the value of (a +b) is

The prices of Bajaj scooter and Bajaj pulser are in the ratio of 4:9. If the Bajaj Pulser costs30000 more than a Bajaj Scooter, the price of Bajaj Scooter is

At what rate per cent per annum compound interest, will Rs. 2304 amount to Rs. 2500 in 2 years?

The value of 1/(p+ q^(-1) + 1) + 1/(q+ r^(-1) + 1) + 1/(1 + r + p^(-1)) given that pqr = 1 is :

If2x = sqrt(a) - (1)/(sqrt(a)) , then the value of(sqrt(x^(2) + 1))/(x + sqrt(x^(2) +1)) is

a : b=4 : 9 if 4 is added to both of the numbers then the new ratio becomes 21 : 46. What is the difference between a and b?

The value of (2^(log3^(7) - 7^(log _(3)2))) is

Santosh spends and saves his income in the ratio 8 : 5. He spends20%of his expenditure on food and 40%of his expenditure on clothes. He deposits60% of his savings in bank. Money spends by him on clothes is what percent of money deposited in bank.

A and B can do a piece of work in 20 days and 30 days respectively. A start the work and they do this work in alternate days. In how many days will this work be completed ?

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

A person borrows Rs. 5000 for 2 years at 4% per annum simple interest . He immediately lends it to another person at 6 (1)/(4)% per annum simple interest for 2 years. Find his gain in this transaction.

Arvind and Govind each invested ₹ 15000 for 3 years at the same rate of interest but Arvind investment is compounded annually while Govind investment is charged on simple interest. What amount did .Arvind receive more than Govind?

Priyanka has only 25 paise coins and 50 paise coins in her purse if in all she has 40 coins totalling ₹12.75 how many coins of ₹25 paise does she have?

What is the maximum integral value of m, if n

If x be real, find the maximum value of ((x+2))/((2x^(2)+3x+6))

A square and a rhombus have the same base and rhombus is inclined at 30^(@). What is the ratio of area of the square to the area of the rhombus.

Mutiply 17 by 22.

A point X inside a rectangle PQRS is joined to the vertices then, which of the following is true:

ABCD is a quadrilateral such that angleD=90^(@). A circle C of radius r touches the sides AB, BC, CD and DA at P, Q, R and S respectively. IfBC = 38 cm, CD = 25 cm and BP = 27 cm. Find r

For which values of x between 0and2pi, then 2cosec2x cot x-cot^(2)x=1 is true :

The speeds of scooter, car and train are in the ratio of 1 : 4 : 16. If all of them covers equal distance then the ratio of time taken/velocity for the each of the vehicle is :

Consider the following diagrams x men, working at constant speed, do a certain job in y days. Which one of these diagrams shows the relation between x andy?

If tan theta=(a)/(b), find the value of (a sin theta-b cos theta)/(asin theta+b cos theta)

In what time does a sum of money becomes 4 times of itself at simple interest rate of 15% per annum .

Which of the following is correct it A = 3^(3^3^3) , B = 3^(33^3), C = 3^(3^33) and D = 3^(333) ?

The sum of the circumferences of two circles which touch each other externally is 176 cm. What is the ratio of the radius of the larger circle to that of the smaller circle, if the sum of squares of the radii of the circles is 400 cm ?

Neither it's the longest one nor it's the shortest one of the lengths of the diagonal of an octagon you know is d and each side of the same octagon is s, find the area of the octagon in terms of the side and the known diagonal of the regular octagon.

If cot theta+costheta=m and cot theta-costheta=n, then find the value of m^(2)-n^(2).

An alloy contains the copper and aluminium in the ratio of 7:4 . While making the weapons from this alloy, 12% of the alloy got destroyed. If there is 12 kg of aluminiumin the weapon , then the weight of the alloy required in :

The radii of two cones are equal and their slant heights are in the ratio 3:2. If the curved surface areaof the smaller cone is300 cm^(2), then the curved surface area of the bigger cone ( incm^2) is :

What is the value of x when ^(11)C_x is maximum ?

A spherical ballon of radius r subtends angle 60^(@) at the eye of an observer. If the angle of elevation of its centre is 60^(@) and h is the height of the centre of the ballon, then which one of the following is correct ?

Out of 13 applicants for a job, there are 5 women and 8 men It is desired to select 2 persons for the job. The probability that atleast one of the selected persons will be a woman is.

At East End Mall, burgers can be bought in quantities of either 6,9 or 20 only. For example one can purchase 26(20 + 6), 15(6 + 9) and 24(9 xx 2 + 6) etc. but can't purchase 10 burgers i.e., without any lot. What is largest number of burgers that can be purchased ?