8677 + Interview Questions in Maths in Class 14 Page 118 InterviewSolution

5851.	(3)/(8) "of" {4624div(564-428)}=?
Answer» `13(1)/(4)` `14(1)/(2)` `11(5)/(6)` `12(3)/(4)` Solution :`(3)/(8)" of " {4624 DIV (564-428)}=?` `(3)/(8)xx{4624xx(1)/(136)}` `(3)/(8)xx34=12(3)/(4)`

Discussion

5852.	Find the value of (1-tan^(2)22(1^(@))/(2))/(1+tan^(2)22(1^(@))/(2)).
Answer» `(1)/(SQRT(2))` 1 `(1)/(2)` `sqrt(3)/(2)` ANSWER :A

Discussion

5853.	A trader sell all his articles at the cost price but gives 10% less amount as he should give. What is his percentage profit?
Answer» ANSWER : `111/9%`

Discussion

5854.	33+371÷7=?
Answer» 1) 89 2) 85 3) 86 4) 84 Answer :C

Discussion

5855.	If the rate of simple interest is 12% per annum, the amount the would fetch interest of Rs. 6000 per annum is :
Answer» ₹ 7200 ₹ 48000 ₹ 50000 ₹ 72000 Answer :C

Discussion

5856.	There are three piles of identical red, blue and green balls and each pile contains at least 10 balls. The number of ways of selecting 10 balls if twice as many red balls as green balls are to be selected, is
Answer» 1 2 4 6 Answer :C

Discussion

5857.	A takes 7 days more than B and 16 days more than C to complete a work. C works as much as (A + B) works together. In how many days will A, B and C alone complete this work ?
Answer» Answer :A `to` 28 DAYS, B `to` 21 days, C `to` 12 days

Discussion

5858.	Eight straight lines are drawn in the plane such that no two lines are parallel and no three lines are concurrent. The number of parts into which these lines divide the plane, is :
Answer» 73 37 17 72 Answer :B

Discussion

5859.	If sin(x+y).sec(x-y)=1 then tan^(2)x+sin^(2)x+sec^(2)x=?
Answer» ANSWER :`(7)/(2)`

Discussion

5860.	If a and b are non zero rational unequal numbers, then ((a+b)^(2)-(a-b)^(2))/(a^(2)b-ab^(2)) is equal to :
Answer» 1/a-b 2/a-b 4/a-b 1/ab Answer :C

Discussion

5861.	A person invested some amount at the rate of 12% simple interest and the remaining at 10%. He received yearly an interest ofX 130. Had he interchanged the amount invested, he would have received an interest ofX 134. How much money did he invest at different rates?
Answer» ANSWER :RS. 5000

Discussion

5862.	Loss incurred by selling an article for Rs 800 is 23% more than profit gained by selling same article for Rs 1246 Find the cost price of this article?
Answer» ANSWER :Rs.1000

Discussion

5863.	Show that ((x+b)(x+c))/((b-a)(c-a))+((x+c)(x+a))/((c-b)(a-b))+((x+a)(x+b))/((a-c)(b-c))=1is an identity.
Answer» It has only TWO REAL roots It has no roots It' s an identity none of the above Answer :C

Discussion

5864.	A, B and C can do a work in 12, 15 and 18 days respectively. They started the work together but A left after 2 days and B left the work 3 days before the competition of work. Find the number of days it took them to complete the work.
Answer» ANSWER :`8(5)/(11)` DAYS

Discussion

5865.	The number of circles that can be drawn out of 10 points of which 7 are collinear is (A) 120 (B) 113 (C) 85 (D) 86
Answer» 35 85 70 124 Answer :B

Discussion

5866.	Find sin20^(@)sin40^(@)sin60^(@)sin80^(@).
Answer» ANSWER :`(3)/(16)`

Discussion

5867.	Find the area of Delta formed by three lines 8x+15y=120, x axis and y axis
Answer» ANSWER :60 SQ. UNIT

Discussion

5868.	Two vessels contain spirit of 0.5 and 0.75 concentrations. If 2 lt from the first vessel and 3 lt from thesecond vessel are mixed, then what will be the ratio of the spirit and the water in the resultant solution?
Answer» ANSWER :`13 : 7 `

Discussion

5869.	Three circles touch each other pairwise externally. If the distance between their centres is 5 cm and 7 cm and 6 cm. Find theirradii.
Answer» 2 CM, 3 cm, 4 cm 3 cm, 4 cm, 1 cm 1 cm, 2.5 cm, 3.5 cm 1 cm, 2 cm, 4 cm ANSWER :A

Discussion

5870.	Raja can do a piece of work in 14 days, while Rani can do the same work in 21 days. They started the work together but 3 days before the completion of the work, Raja left the work. The total number of days to complete the work is :
Answer» 7 8.5 5 `7 1/5` ANSWER :D

Discussion

5871.	IFP(barA ) = 0.65 ,P (A uu B ) = 0.65 , whereA and Bare two mutullyexclusiveevents, thenfindP(B ) .
Answer» `0.60` `0.30` `0.70` NONE of these Answer :B

Discussion

5872.	A girl while walking diametrically across a semicircular playground takes 3 minutes less than if she had kept walking round the circular path from A to B If she walks 60 metres a minute, what is the diameter of the play ground
Answer» 60 m 48 m 84 m 315 m Answer :D

Discussion

5873.	There are two quadratic equations. Solve these equations and find the relation between p and q. p^2-10p+21=0 q^2-10q+24=0
Answer» `pltq` `pgtq` `pleq` can't be determined Answer :D

Discussion

5874.	Find the value of (sin75^(@)+sin15^(@))/(cos75^(@)+cos15^(@)) :
Answer» 1 2 `sqrt3/2` can't be determined Answer :A

Discussion

5875.	Ifsides of triangle are (8,b,14) then
Answer» `8 lt b lt 14 ` `14 lt b lt 19` `6 lt b lt 22` ` 7 lt b lt 21 ` ANSWER :C

Discussion

5876.	A and B travel the same distance at 9 km/h and 10 km/h respectively.if A takes 20 minutes longer than B the distance travelled by each is:
Answer» 16 20 30 none of these Answer :C

Discussion

5877.	In a 250 m race, the ratio of speeds of A and B is 1 : 2. If A has a start of 140 m, then A wins by how many metres?
Answer» (A) 45 m (B) 15 m (C) 25 m (D) 30 m Answer :D

Discussion

5878.	O is the centre of a circle. AC and BD are two chords of the circle intersecting each other at P. If angle AOB = 15^(@) and angle APB = 30^(@), then tan^(2) angle APB + cot^(2) angle COD is equal to :
Answer» `(4)/(3)` `(10)/(3)` `(1)/(3)` `(2)/(3)` Answer :A

Discussion

5879.	X owes Y X 3146 payable VA yr hence. Also, Y owes X, X 2889 payable 6 months hence. If they want to settle the account forthwith, keeping 14% the rate of interest, who should pay and how much?
Answer» /should pay? 100 Y should pay X 50 X should pay X 100 X should pay X 50 Answer :A

Discussion

5880.	(121)^(111)xx(1287)^(53) find Unit digit .
Answer» ANSWER :7

Discussion

5881.	The axis of symmetry, of a quadratic graph, is always parallel to
Answer» the RANDOMLY chosen point is either side of the roots if both the roots lie INSIDE the randomly chosen points both(a)or(b) There are more possibilities other than those MENTIONED in (a) and (b) Answer :C

Discussion

5882.	P(A, B)=AxxB,S(A,B)=A-B,D(A,B)=A+B D(P(3, 5), S(5, 3)) is equal to :
Answer» 15 17 0 30 Answer :B

Discussion

5883.	Find the area of circle with maximum radius that can be inscribed in the rectangle of length 12 cm and breadth 8 cm.
Answer» ANSWER :` = 1671 CM^(2)`

Discussion

5884.	Convert (10110.0101)_2 to octal.
Answer» SOLUTION :

Discussion

5885.	Hariharan goes to a shopto buy an FM radio costing ₹1404 including sales tax at 8%.He asks the shopkeeperto reduce the price of radio so that he can save the amount equal to the sales tax. The reduction of the price of the radio is :
Answer» RS. 108 Rs. 104 Rs. 112.32 none of these Answer :B

Discussion

5886.	solve(55)^3
Answer» SOLUTION : `THEREFORE (55)^3 = 166375`

Discussion

5887.	IF notwoconsonantsare togetherthen inhowmanywayscan thewordRAINBOWbe arranged ?
Answer» 441 420 360 144 Answer :D

Discussion

5888.	ABC is a triangle in which AB=AC. Let BC be produced to D . From a point E on the line AC. Let EF be a straight line such that EF is parallel to AB. Consider the quadrilateral ECDF thus fromed . If angle ABC =65^(@) and angleEFD=50^(@), then find angleFDC .
Answer» ANSWER :`35^(@)`

Discussion

5889.	The ratio of milk and water in a mixture is 3 : 1. 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 becomes 1 : 1?
Answer» 1/4 1/3 2/3 3/4 Answer :A::C

Discussion

5890.	There are 10 stations on Konkan Railway Line that connects Mumbai and Manglore at the two ends of it. How many different kinds of tickets of second class must be printed in order to enable a passenger buy a ticket so that he can travel from one station to any other station?
Answer» 90 45 135 100 Answer :A

Discussion

5891.	If cosectheta+cot theta=7, then find tantheta.
Answer» ANSWER :`(7)/(24)`

Discussion

5892.	Thesumof thenumbers of then^(th) termof theseries(1) +(1+2) +(1+2+3) +(1 +2+3+4) +… (1 +2+3+….n)
Answer» `"^(n+1)C_3` `"^(n+1)C_2` `"^nC_2` `"^(n+2)C_3` ANSWER :B

Discussion

5893.	What would be the C.I. on amount rs. 12500 at the rate of 12% p.a. after 2 years?
Answer» a. 3180rs. b. 3360rs. c. 3540rs. d. 3720rs. Answer :A

Discussion

5894.	If 2ycostheta=x sintheta and 2xsectheta-ycosectheta=3, then x^(2)+4y^(2)=?
Answer» 4 `-4` `PM4` 0 Answer :D

Discussion

5895.	In the triangle ABC, BC =CD and (angleABC - angleBAC)= 30^(@). The measure of angleABD is :
Answer» `30^(@)` `45^(@)` `15^(@)` can't be determined Answer :C

Discussion

5896.	if(5x^2 + 14x + 2)^2 - (4x^2 - 5x + 7)^2 is divided by x^2 + x + 1, then quotient q and remainder r are given by
Answer» `Q=(x^2+19x-5)`,r=0 `q=9(x^2+19x-5)`,r=0 `q=(x^2+19x-5)`,r=1 `q=9(x^2+19x-5)`,r=1 Answer :B

Discussion

5897.	Find the value of m - n, if (9^(n)xx3^(2)xx(3^((-n)/2))^(-2)-(27)^(n))/(3^(3m)xx2^(3))=1/27
Answer» 1 -2 -1 2 Answer :A

Discussion

5898.	Kaurav and Pandav have a rectangular field of area 20,000 sq. m. They decided to divide it into two equal square parts by dividing it with a single straight line. Kaurav wanted to fence their land immediately , sothey incurred total expenses for the fencing all the four sides alone at Rs. 2 per metre . What is the minimum cost that Kaurav had to incur ?
Answer» `₹800` `₹1600` `₹1200` `₹600` ANSWER :A

Discussion

5899.	Which one of the greatest:
Answer» `3/4` `7/8` `16/19` `13/15` ANSWER :B

Discussion

5900.	If two angles are complementary to each other, then each angle is :
Answer» a RIGHT angle a SUPPLEMENTARY angle an OBTUSE angle an ACUTE angle Answer :D

Discussion

Explore topic-wise InterviewSolutions in .

(3)/(8) "of" {4624div(564-428)}=?

Find the value of (1-tan^(2)22(1^(@))/(2))/(1+tan^(2)22(1^(@))/(2)).

A trader sell all his articles at the cost price but gives 10% less amount as he should give. What is his percentage profit?

33+371÷7=?

If the rate of simple interest is 12% per annum, the amount the would fetch interest of Rs. 6000 per annum is :

There are three piles of identical red, blue and green balls and each pile contains at least 10 balls. The number of ways of selecting 10 balls if twice as many red balls as green balls are to be selected, is

A takes 7 days more than B and 16 days more than C to complete a work. C works as much as (A + B) works together. In how many days will A, B and C alone complete this work ?

Eight straight lines are drawn in the plane such that no two lines are parallel and no three lines are concurrent. The number of parts into which these lines divide the plane, is :

If sin(x+y).sec(x-y)=1 then tan^(2)x+sin^(2)x+sec^(2)x=?

If a and b are non zero rational unequal numbers, then ((a+b)^(2)-(a-b)^(2))/(a^(2)b-ab^(2)) is equal to :

A person invested some amount at the rate of 12% simple interest and the remaining at 10%. He received yearly an interest ofX 130. Had he interchanged the amount invested, he would have received an interest ofX 134. How much money did he invest at different rates?

Loss incurred by selling an article for Rs 800 is 23% more than profit gained by selling same article for Rs 1246 Find the cost price of this article?

Show that ((x+b)(x+c))/((b-a)(c-a))+((x+c)(x+a))/((c-b)(a-b))+((x+a)(x+b))/((a-c)(b-c))=1is an identity.

A, B and C can do a work in 12, 15 and 18 days respectively. They started the work together but A left after 2 days and B left the work 3 days before the competition of work. Find the number of days it took them to complete the work.

The number of circles that can be drawn out of 10 points of which 7 are collinear is (A) 120 (B) 113 (C) 85 (D) 86

Find sin20^(@)sin40^(@)sin60^(@)sin80^(@).

Find the area of Delta formed by three lines 8x+15y=120, x axis and y axis

Two vessels contain spirit of 0.5 and 0.75 concentrations. If 2 lt from the first vessel and 3 lt from thesecond vessel are mixed, then what will be the ratio of the spirit and the water in the resultant solution?

Three circles touch each other pairwise externally. If the distance between their centres is 5 cm and 7 cm and 6 cm. Find theirradii.

Raja can do a piece of work in 14 days, while Rani can do the same work in 21 days. They started the work together but 3 days before the completion of the work, Raja left the work. The total number of days to complete the work is :

IFP(barA ) = 0.65 ,P (A uu B ) = 0.65 , whereA and Bare two mutullyexclusiveevents, thenfindP(B ) .

A girl while walking diametrically across a semicircular playground takes 3 minutes less than if she had kept walking round the circular path from A to B If she walks 60 metres a minute, what is the diameter of the play ground

There are two quadratic equations. Solve these equations and find the relation between p and q. p^2-10p+21=0 q^2-10q+24=0

Find the value of (sin75^(@)+sin15^(@))/(cos75^(@)+cos15^(@)) :

Ifsides of triangle are (8,b,14) then

A and B travel the same distance at 9 km/h and 10 km/h respectively.if A takes 20 minutes longer than B the distance travelled by each is:

In a 250 m race, the ratio of speeds of A and B is 1 : 2. If A has a start of 140 m, then A wins by how many metres?

O is the centre of a circle. AC and BD are two chords of the circle intersecting each other at P. If angle AOB = 15^(@) and angle APB = 30^(@), then tan^(2) angle APB + cot^(2) angle COD is equal to :

X owes Y X 3146 payable VA yr hence. Also, Y owes X, X 2889 payable 6 months hence. If they want to settle the account forthwith, keeping 14% the rate of interest, who should pay and how much?

(121)^(111)xx(1287)^(53) find Unit digit .

The axis of symmetry, of a quadratic graph, is always parallel to

P(A, B)=AxxB,S(A,B)=A-B,D(A,B)=A+B D(P(3, 5), S(5, 3)) is equal to :

Find the area of circle with maximum radius that can be inscribed in the rectangle of length 12 cm and breadth 8 cm.

Convert (10110.0101)_2 to octal.

Hariharan goes to a shopto buy an FM radio costing ₹1404 including sales tax at 8%.He asks the shopkeeperto reduce the price of radio so that he can save the amount equal to the sales tax. The reduction of the price of the radio is :

solve(55)^3

IF notwoconsonantsare togetherthen inhowmanywayscan thewordRAINBOWbe arranged ?

ABC is a triangle in which AB=AC. Let BC be produced to D . From a point E on the line AC. Let EF be a straight line such that EF is parallel to AB. Consider the quadrilateral ECDF thus fromed . If angle ABC =65^(@) and angleEFD=50^(@), then find angleFDC .

The ratio of milk and water in a mixture is 3 : 1. 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 becomes 1 : 1?

There are 10 stations on Konkan Railway Line that connects Mumbai and Manglore at the two ends of it. How many different kinds of tickets of second class must be printed in order to enable a passenger buy a ticket so that he can travel from one station to any other station?

If cosectheta+cot theta=7, then find tantheta.

Thesumof thenumbers of then^(th) termof theseries(1) +(1+2) +(1+2+3) +(1 +2+3+4) +… (1 +2+3+….n)

What would be the C.I. on amount rs. 12500 at the rate of 12% p.a. after 2 years?

If 2ycostheta=x sintheta and 2xsectheta-ycosectheta=3, then x^(2)+4y^(2)=?

In the triangle ABC, BC =CD and (angleABC - angleBAC)= 30^(@). The measure of angleABD is :

if(5x^2 + 14x + 2)^2 - (4x^2 - 5x + 7)^2 is divided by x^2 + x + 1, then quotient q and remainder r are given by

Find the value of m - n, if (9^(n)xx3^(2)xx(3^((-n)/2))^(-2)-(27)^(n))/(3^(3m)xx2^(3))=1/27

Which one of the greatest:

If two angles are complementary to each other, then each angle is :