8677 + Interview Questions in Maths in Class 14 Page 150 InterviewSolution

7451.	LetA andBbethe twoeventssuchthatP(A ) = 1/2, P(B )= 1/3andP(A nn B ) = 1/4, find P(B/A)
Answer» <P> SOLUTION :`P(B/A)=(P(ANNB))/(P(A))=(1//4)/(1//2)=1/2`

Discussion

7452.	In a polygon 5 interior angles are equal to 172^@each and all remaining angles are 160^@each. Find the no. of sides and no. of diagonals.
Answer» ANSWER :`= 189`

Discussion

7453.	If goods be purchased for Rs 450, and one-third be sold at a loss of 10%, at what gain per cent should the remainder be sold so as to gain 20% on the whole transaction?
Answer» ANSWER :0.2

Discussion

7454.	Find all real values of x satisfying equation: \|x-1\|^(log x^(2) - 2 log_(x)9) =(x-1)^(7)
Answer» `SQRT3` `3^4` 3 `log_4"3` ANSWER :B

Discussion

7455.	The ratio of selling price of 3 articles A, B, C is 8 : 9 : 5 and ratio of their profit % is 8 : 7 : 14. If profit % of A is 14.28% and CP of B is Rs 400. Find overall%.
Answer» ANSWER :`15.7%`

Discussion

7456.	Find the remainder when 2^(2) + 22^(2) + 222^(2) + …… + (222…… 49 times)^(2) is divided by 9.
Answer» 0 2 4 6 Answer :d

Discussion

7457.	A number which when 'divided by 32 leaves a remainder of 29. If this number is divided by 8 the remainder will be
Answer» 0 1 5 3 Answer :C

Discussion

7458.	Let f:R rarr R be a function defined by f(x)=(e^(\|x\|)-e^(-x))/(e^(x)+e^(-x)) then :
Answer» F is both ONE - one and ONTO f is one - one but not onto f is onto but not one - one f is NEITHER one - one nor onto Answer :D

Discussion

7459.	The perimeter of the figure given below correct to one decimal place is :
Answer» 56 m 56.6 m 57.2 m 57.9 m ANSWER :B

Discussion

7460.	The probabilities that a student passes in Mathematics, Physics and Chemistry are m, p and respectively. Of these subjects the student has 75% chance of passing in atleast one, a 50% chance of passing in atleast two and a 40% chance of passing in exactly, two, which of the following relations are true.
Answer» `p+m+C =27/20` `p+m+c=13/20` PMC`=1/10` Both(a) and (c ) ANSWER :D

Discussion

7461.	Find the values that satisfy the polynomial inequation x^4+4x^3-12x^2lt0.
Answer» SOLUTION :`(-6,0)UU(0,2)`

Discussion

7462.	Find the rate of interest, if the S.I. for 3 years is Rs. 1200 and C.I. for 2 years is Rs. 860.
Answer» ANSWER :0.15

Discussion

7463.	Abhinav leaves mumbai at 6 am and reaches Banglore at 10 am parveen leaves Banglore at 8 am and reaches mumbai at 11:30 am.At what time do they cross each other?
Answer» 8:56 am 9:56 am 11am 8:56 pm Answer :C

Discussion

7464.	((cosectheta-sectheta)(cottheta-tantheta))/((cosectheta+sectheta)(sectheta.cosectheta-2))=?
Answer» a) 2 B) 1 c) 3 d) `-1` Answer :B

Discussion

7465.	When the numerator of a positive fraction is incresed by 2 and the denominator of the same fraction is multiplied by 2, the new fraction can be reduced to 1/2 to its lowest term. The sum of the numerator and denominator of the original fraction can be :
Answer» 13 45 16 any EVEN INTEGER GREATER than 3 Answer :D

Discussion

7466.	Value of [(x^i)^(1-1/i)]^(1/(i - 1)) is :
Answer» X 1 `x^-1` `x^-i` ANSWER :A

Discussion

7467.	How many numberswithdifferent digiteachgreaterthan4000canbe formedfromthe digits0,2,5,7,8 ?
Answer» 160 168 320 270 Answer :B

Discussion

7468.	The smallest number, which when divided by 12 and 16 leaves remainder 5 and 9 respectively, is:
Answer» 55 41 39 29 Answer :B

Discussion

7469.	An article was sold at 23% profit. Had it purchased at Rs 4 less and sold at Rs 20 less there would have been profit of 10% less. Find C.P. of article?
Answer» ANSWER :154.8

Discussion

7470.	Find min value of 17sec^(2)theta+15tan^(2)theta.
Answer» ANSWER :17

Discussion

7471.	A two digit number is such that it is the product of the two distinct perfect squares. The tens digit, unit digit and the sum of these two digits are in A.P. Further if we reverse the digits mutually, it increases by 27. The oringinal number is
Answer» 72 19 36 none of these Answer :C

Discussion

7472.	What would be the C.I. on rs. 17500 at the rate of 12% p.a. after 2 years?
Answer» a. RS. 4442 b. rs. 4452 C. rs. 4462 d. rs. 4482 Answer :C

Discussion

7473.	Ifa < b < c < d and k is the number of real roots of the equation (x-a)(x-c)+2(x-b)(x-d)=0 ,then equation of the line parallel to y -axis and cutting an intercept 'k' on x-axis is (A) x=0 (B) x=1 (C)x=2 (D) None of these.
Answer» REAL non-real Either real or IMAGINARY NONE of these Answer :A

Discussion

7474.	A regular dodecagon is inscribed in a circle of radius 1 cm. find the area of the dodecagon.
Answer» 3 SQ. CM `ROOT(3)(2) sq. cm` `root(2)(3) sq. cm` NONE of these Answer :A

Discussion

7475.	If 4A=5B and 3A=2C, the ratio fo B:C is
Answer» 0.16875 0.21388888888889 0.34375 0.42708333333333 Answer :C

Discussion

7476.	There are three types of milk, Parag, Amul and Nestle. The ratio of fat to the non-fat contents in milk 4:5, 5:6, 6:7 respectively. If all these three types of milk is mixed in equal quantity, the ratio of fat to the non-fat contents in the mixture will be :
Answer» `1751:2110` `175:543` 3:5 0.42916666666667 Answer :A

Discussion

7477.	If tantheta+sintheta=mandtantheta-sintheta=n, then find the value of sqrt(mn).
Answer» `(1)/(2)(m^(2)-n^(2))` `2(m^(2)-n^(2))` `(1)/(4)(m^(2)-n^(2))` `(1)/(4)(m^(2)+n^(2))` ANSWER :A::B::D

Discussion

7478.	Two trains x and y start from Mumbai and Delhi towards Delhi and Mumbai, respect- ively. After passing each other, they take 12 h 30 min and 8 h to reach Delhi and Mumbai, respectively. If the train from Mumbai is moving at 60km/h,then find the speed of the other train.
Answer» ANSWER :`=75 KM //H`

Discussion

7479.	[2-(1)/(3)]-[5-(1)/(4)]+(2(1)/(3))xx[1.5]
Answer» 5/8 5/12 6/13 9/13 Answer :`=1`

Discussion

7480.	A sum of money amounts to Rs. 1500 in 12 years. The principal Increased by 10% & 20 % after every 4 years. What will be the simple Intereset Received after 12 years if the Rate of interest is 4(1)/( 6)% ?
Answer» ANSWER :RS 1650

Discussion

7481.	A fruit merchant bought some oranges at the rate of 4 for Rs 10 and same amount of oranges at the rate of 5 for Rs 10 . If he sells whole stock at the rate of 9 for Rs 20. Find his profit /loss %.
Answer» ANSWER :`1(19)/(81)%` LOSS

Discussion

7482.	If sqrt((x-a)/(x-b))+a/x =sqrt((x-b)/(x-a)) +b/x , bne athen what is the value of x ?
Answer» `(B)/(a + b)` `(AB)/(a + b)` `1` `(a)/(a + b)` ANSWER :B

Discussion

7483.	a:b::2:1, b:c::3:2,c:d ::3:4,d:e::5:2 find a:b:c:d:e.
Answer» `60:30:15:44:17` `80:40:15:20:19` `90:45:30:40:16` `77:15:19:20:16` ANSWER :C

Discussion

7484.	The two pie charts show the market share of different companies which produces TV and Refrigerator (noth) in the first quarter of 2005-06. If the turn over of Samsung TV is Rs. 31 crores and of Samsung refrigerator is Rs. 9 crore, then what is the overall market share of electrolux TV and refrigerator combined ?
Answer» `33.33%` `28%` `16.7%` `65%` ANSWER :C

Discussion

7485.	Find average 1, 2,2 3,3,3 4,4,4,4, ……… 7,7,7,7,7,7,7.
Answer» 28 5 20 140

Discussion

7486.	The principal amount which yields a compund interest of ? 208 in the second year at 4% is
Answer» ? 5000 ? 10000 ? 130000 ? 6500 Answer :A

Discussion

7487.	Find the value of (sinx+cosecx)^(2)+(cosx+secx)^(2)-(tan^(2)x+cot^(2)x).
Answer» 8 7 9 10 Answer :B

Discussion

7488.	A couplehastwochilden . Findthe probabilitythat bothare boys,ifit isknownthat one of thechildrenis a boy .
Answer» `1/9` `1/3` `2/3` `4/5` ANSWER :B

Discussion

7489.	If sectheta=A, cosec theta=B, then
Answer» `A^(2)+B^(2)=AB` `A^(2)+B^(2)=A^(2)B^(2)` `A^(2)-B^(2)=A^(2)B^(2)` `A^(2)+B^(2)=-A^(2)B^(2)` ANSWER :B

Discussion

7490.	sqrt(x^(2)-9x+20)-sqrt(x^(2)-12x+32)=sqrt(2x^(2)-25x+68):
Answer» 4,9 3,9 2,4 2,6 Answer :A

Discussion

7491.	A, B and C can finish a piece of work in 12 days, 15 days and 20 days respectively. They started working together. B left the work after working 3 days and C left the work 3 days before completion of the work. In how many days work will be finished?
Answer» ANSWER :`7(1)/(8)` DAYS

Discussion

7492.	Anna sold his car to Boney at a profit of 20% and Boney sold it to Chokori at a profit of 10%. Chokori sold it to mechanic at a loss of 9.09%. Mechanic spent 10% of his purchasing price and then sold it at a profit of 8.33% to Anna once again. What is the loss Anna?
Answer» `23%` `29%` `50%` `40%` ANSWER :A

Discussion

7493.	If a expression x + 2374156 xx 2374158 is a perfect square, then find the value of x.
Answer» 10 1 2374156 2374158 Answer :B

Discussion

7494.	An elephant of length 4 m is at one corner of a rectangularcage 16m xx 30 m and facing towards the diagonally opposite corner . If the elephant startsmoving towardsthe diagonally opposite corner it takes 15 second to reach the opposite corner. Find the speed of the elephant :
Answer» `1 m//s` `2m//s` `1.87 m//s` can't be determined Answer :A

Discussion

7495.	ABC is a triangle in which 35 times the smallest angle is equal to the 26 times largest angle. What is the measure of the second largest angle?
Answer» `63^(@)` `58^(@)` `70^(@)` `42^(@)` ANSWER :B

Discussion

7496.	What is the value of , (sin(90^@-theta)sec(180^@-theta)sin(-theta))/(sin(180^@+theta)cot(360^@-theta)cosec(90^@+theta)) :
Answer» `SINTHETA` `COSTHETA` 1 `1/sqrt2` ANSWER :A

Discussion

7497.	(184xx4)/(23% "of" 400)=?
Answer» 7 9 8 5 Solution :`?=(184xx4)/((400xx23)/(100))=(184xx4)/(4xx23)=8`

Discussion

7498.	A person bought a horse and a vehicle for Rs 40,000 he sold horse at 10% profit and vhicle at 5% loss on whole transection he got profit of 1% . Find C.P. of horse?
Answer» ANSWER :16000 RS

Discussion

7499.	In thequestions number13howmanywordsare there inwhichA isalwaysbeforeO ?
Answer» 840 420 720 none of these Answer :A

Discussion

7500.	A couple has two childen . findthe probabilitythat bothareboys., if it isknownthatthe olderchildis a boy .
Answer» `3/8` `1/2` `5/8` `3/4` ANSWER :B

Discussion

Explore topic-wise InterviewSolutions in .

LetA andBbethe twoeventssuchthatP(A ) = 1/2, P(B )= 1/3andP(A nn B ) = 1/4, find P(B/A)

In a polygon 5 interior angles are equal to 172^@each and all remaining angles are 160^@each. Find the no. of sides and no. of diagonals.

If goods be purchased for Rs 450, and one-third be sold at a loss of 10%, at what gain per cent should the remainder be sold so as to gain 20% on the whole transaction?

Find all real values of x satisfying equation: |x-1|^(log x^(2) - 2 log_(x)9) =(x-1)^(7)

The ratio of selling price of 3 articles A, B, C is 8 : 9 : 5 and ratio of their profit % is 8 : 7 : 14. If profit % of A is 14.28% and CP of B is Rs 400. Find overall%.

Find the remainder when 2^(2) + 22^(2) + 222^(2) + …… + (222…… 49 times)^(2) is divided by 9.

A number which when 'divided by 32 leaves a remainder of 29. If this number is divided by 8 the remainder will be

Let f:R rarr R be a function defined by f(x)=(e^(|x|)-e^(-x))/(e^(x)+e^(-x)) then :

The perimeter of the figure given below correct to one decimal place is :

Find the values that satisfy the polynomial inequation x^4+4x^3-12x^2lt0.

Find the rate of interest, if the S.I. for 3 years is Rs. 1200 and C.I. for 2 years is Rs. 860.

Abhinav leaves mumbai at 6 am and reaches Banglore at 10 am parveen leaves Banglore at 8 am and reaches mumbai at 11:30 am.At what time do they cross each other?

((cosectheta-sectheta)(cottheta-tantheta))/((cosectheta+sectheta)(sectheta.cosectheta-2))=?

When the numerator of a positive fraction is incresed by 2 and the denominator of the same fraction is multiplied by 2, the new fraction can be reduced to 1/2 to its lowest term. The sum of the numerator and denominator of the original fraction can be :

Value of [(x^i)^(1-1/i)]^(1/(i - 1)) is :

How many numberswithdifferent digiteachgreaterthan4000canbe formedfromthe digits0,2,5,7,8 ?

The smallest number, which when divided by 12 and 16 leaves remainder 5 and 9 respectively, is:

An article was sold at 23% profit. Had it purchased at Rs 4 less and sold at Rs 20 less there would have been profit of 10% less. Find C.P. of article?

Find min value of 17sec^(2)theta+15tan^(2)theta.

A two digit number is such that it is the product of the two distinct perfect squares. The tens digit, unit digit and the sum of these two digits are in A.P. Further if we reverse the digits mutually, it increases by 27. The oringinal number is

What would be the C.I. on rs. 17500 at the rate of 12% p.a. after 2 years?

Ifa < b < c < d and k is the number of real roots of the equation (x-a)(x-c)+2(x-b)(x-d)=0 ,then equation of the line parallel to y -axis and cutting an intercept 'k' on x-axis is (A) x=0 (B) x=1 (C)x=2 (D) None of these.

A regular dodecagon is inscribed in a circle of radius 1 cm. find the area of the dodecagon.

If 4A=5B and 3A=2C, the ratio fo B:C is

There are three types of milk, Parag, Amul and Nestle. The ratio of fat to the non-fat contents in milk 4:5, 5:6, 6:7 respectively. If all these three types of milk is mixed in equal quantity, the ratio of fat to the non-fat contents in the mixture will be :

If tantheta+sintheta=mandtantheta-sintheta=n, then find the value of sqrt(mn).

Two trains x and y start from Mumbai and Delhi towards Delhi and Mumbai, respect- ively. After passing each other, they take 12 h 30 min and 8 h to reach Delhi and Mumbai, respectively. If the train from Mumbai is moving at 60km/h,then find the speed of the other train.

[2-(1)/(3)]-[5-(1)/(4)]+(2(1)/(3))xx[1.5]

A sum of money amounts to Rs. 1500 in 12 years. The principal Increased by 10% & 20 % after every 4 years. What will be the simple Intereset Received after 12 years if the Rate of interest is 4(1)/( 6)% ?

A fruit merchant bought some oranges at the rate of 4 for Rs 10 and same amount of oranges at the rate of 5 for Rs 10 . If he sells whole stock at the rate of 9 for Rs 20. Find his profit /loss %.

If sqrt((x-a)/(x-b))+a/x =sqrt((x-b)/(x-a)) +b/x , bne athen what is the value of x ?

a:b::2:1, b:c::3:2,c:d ::3:4,d:e::5:2 find a:b:c:d:e.

Find average 1, 2,2 3,3,3 4,4,4,4, ……… 7,7,7,7,7,7,7.

The principal amount which yields a compund interest of ? 208 in the second year at 4% is

Find the value of (sinx+cosecx)^(2)+(cosx+secx)^(2)-(tan^(2)x+cot^(2)x).

A couplehastwochilden . Findthe probabilitythat bothare boys,ifit isknownthat one of thechildrenis a boy .

If sectheta=A, cosec theta=B, then

sqrt(x^(2)-9x+20)-sqrt(x^(2)-12x+32)=sqrt(2x^(2)-25x+68):

A, B and C can finish a piece of work in 12 days, 15 days and 20 days respectively. They started working together. B left the work after working 3 days and C left the work 3 days before completion of the work. In how many days work will be finished?

Anna sold his car to Boney at a profit of 20% and Boney sold it to Chokori at a profit of 10%. Chokori sold it to mechanic at a loss of 9.09%. Mechanic spent 10% of his purchasing price and then sold it at a profit of 8.33% to Anna once again. What is the loss Anna?

If a expression x + 2374156 xx 2374158 is a perfect square, then find the value of x.

An elephant of length 4 m is at one corner of a rectangularcage 16m xx 30 m and facing towards the diagonally opposite corner . If the elephant startsmoving towardsthe diagonally opposite corner it takes 15 second to reach the opposite corner. Find the speed of the elephant :

ABC is a triangle in which 35 times the smallest angle is equal to the 26 times largest angle. What is the measure of the second largest angle?

What is the value of , (sin(90^@-theta)sec(180^@-theta)sin(-theta))/(sin(180^@+theta)cot(360^@-theta)cosec(90^@+theta)) :

(184xx4)/(23% "of" 400)=?

A person bought a horse and a vehicle for Rs 40,000 he sold horse at 10% profit and vhicle at 5% loss on whole transection he got profit of 1% . Find C.P. of horse?

In thequestions number13howmanywordsare there inwhichA isalwaysbeforeO ?

A couple has two childen . findthe probabilitythat bothareboys., if it isknownthatthe olderchildis a boy .