8677 + Interview Questions in Maths in Class 14 Page 7 InterviewSolution

301.	An equilateral triangle, a square anda circle have equal perimeters. If T denotes the area of triangle, S, the area of square and C, the area of the circle, then :
Answer» `S LT T lt C` `T lt C lt S` `T lt S lt C` `C lt S lt T` ANSWER :C

Discussion

302.	What can be the correct possible set of factors that determines the location of roots ofax^2+bx+c=0 of a quadratic equation which has a double root with respect to a randomly chosen point /con the X-axis?
Answer» `Dge0,af(k)LT0,klt-b/(2a)` `Dge0,af(k)lt0,kgt-b/(2a)` `DGT0,af(k)lt0` `Dge0,af(k)gt0,klt-b/(2a)` ANSWER :D

Discussion

303.	What is the fourth proportional of 18,24,30.
Answer» 60 89 54 40 Answer :D

Discussion

304.	If (x -y +z) : (y - z + 2w) : (2x + z-w) =2: 3:5, then (3x + 3z - 2w): w=?
Answer» `7:1` `4:3` `9:1` `8:1` ANSWER :A

Discussion

305.	What is the sum of the series 1+(1)/(2)+(1)/(4)+(1)/(8)+. . .?
Answer» `5ltSlt8 1/2` `9ltSlt16 1/2` `17ltSlt32 1/2` `33ltSlt64 1/2` ANSWER :C

Discussion

306.	All the natural numbers less than 1000 but not containing the digit '5' are arranged horizontally in descending order. What is the 555th number on the list?
Answer» 111 212 213 none of these Answer :C

Discussion

307.	2-[3-{6-(5divoverline(4-3))}] is equal to :
Answer» 0 1 -3 none of these Answer :A

Discussion

308.	There are six circular rings of iron , kept close to each other . A string binds them as tightly as possible.If the radius of each circulariron ring is 1 cm. What is the minimum possible length of string required to bindthem ?
Answer» `2(6 + 3 SQRT(3) + PI ) cm ` `6 ( 2+ sqrt(3))pi cm ` `2(6 + pi) cm ` none of the above Answer :C

Discussion

309.	What will be a single equivalent discount for successive discounts of 10% and 5% on marked price of an article?
Answer» ANSWER :`14.5%`

Discussion

310.	An A.P. and a G.P. have all the terms positive. Also the first and second terms of the progressions are equal, If a_i and g_i denote the terms of A.P. and G.P. respectively for every ineN and igt2, then which one of the following is true?
Answer» `a_igeg_i` `a_ileg_i` `a_i=g_i` none Answer :B

Discussion

311.	On what sum will the compound interest for 2(1)/(2) years at 10% amount to Rs 6352.50?
Answer» ANSWER :RS. 5000

Discussion

312.	If a + b + c = 13 then, what is the maximum value of (a - 3) (b - 2) (c+ 1)
Answer» 26 27 30 19 Answer :B

Discussion

313.	If b gt a, then the equation (x-a)(x-b) - 1 = 0 has,
Answer» both ROOTS in [a,B] both roots in `(-OO,0)` both roots in `(b,+oo)` one root in `(-oo,a)` and other root in `(b,+oo)` Answer :D

Discussion

314.	If (sectheta+tantheta)/(sectheta-tantheta)=2(51)/(79), then sintheta will be-
Answer» `(35)/(72)` `(65)/(144)` `(91)/(144)` `(39)/(72)` Answer :B

Discussion

315.	What time taken by sum of rs.7000 to become rs.10500 at the rate of 5% per annum?
Answer» a. 8years b. 10years c. 5years d. 15years Answer :A

Discussion

316.	Five persons entered the lift cabin on the groud floor of an 8 floors house. Suppose that each of them, independent and with equal probability can leave the cabin at any of floor beginning with the first. Find put the probability of all five persons leaving at different floors.
Answer» `365/2401` `360/2401` `35/2410` NONE of these Answer :B

Discussion

317.	How many numbers can be formed from 1, 2, 3, 4, 5 (without repetition), when the digit at the unit's place must be greater than that in the ten's place?
Answer» 54 60 `(5!)/(3)` `2 xx 4!` ANSWER :B

Discussion

318.	Solve the followings : Thevalue of expression ((0.6)^0 - (0.1)^(-1))/((3/(2^3))^(-1) . (3/2)^(3) + (-1/3)^(-1)) is :
Answer» `-3/2` `2/3` `3/2` `9/4` ANSWER :A

Discussion

319.	2 men can complete a piece of work in 6 days. 2 women can complete the same piece of work in 9 days. Where as 3 children can complete the same piece of work in 8 days. 3 women and 4 children worked together for 1 day. If only men were to finish the remaining work in day, how many totalmen would be required?
Answer» 4 8 6 can't be determined Solution :One day WORK of each one MAN, one women and one CHILD respectively `= 1/12, 1/18 and 1/24` `therefore` Remaining work `therefore = 1- (1/18 xx3 + 1/24 xx 4) = 2/3` `therefore 2//3` work will be complered in one day by `= 12 xx 2//3 = 8 `men

Discussion

320.	A can run 40 m while B runs 50 m. In a km race, B beats A by which of the following distances?
Answer» 175 m 225 m 335 m 200 m Answer :D

Discussion

321.	The ratio of third proportional to 21 and 42 and mean proportinal to 16 and 49 is
Answer» 0.12569444444444 0.085416666666667 0.16875 0.04375 Answer :A

Discussion

322.	A works thrice as much as B. If A can complete this work in 12 days, then in how many days will both A and B complete this work ?
Answer» ANSWER :9 DAYS

Discussion

323.	A cone , a hemisphereand a cylinderstand on equal bases of radius R and have equal heights H . Their whole surfaces are in the ratio :
Answer» a)`(sqrt(3) +1): 3:4` B)`(sqrt(2) + 1) : 7 : 8 ` C)`(sqrt(2) + 1) : 3: 4` d)none of these ANSWER :C

Discussion

324.	A card is drawn from a deck of 52 cards. Find the probability of getting a red card or a heart or a king.
Answer» `6/13` `7/13` `11/26` `15/26` ANSWER :B

Discussion

325.	N kg^(-1) is the unit of :
Answer» 3 4 5 11 Answer :C

Discussion

326.	A runs 1 2/3timesasfastasb. ifA givesBa startof 4 m , how farmustthewiningpostbe , sothat AandBmightreachit atthe sametime ?
Answer» 75 m 200 m 10 m 125 m Answer :C

Discussion

327.	A moneylender borrows money at 4% per annum and pays the interest at the end of the year. He lends it at 6% per annum compound interest compounded half yearly and receives the interest at the end of the year. In this way he gains Rs. 104.50 a year. The amount of money he borrows, is
Answer» ANSWER :RS. 5000

Discussion

328.	Ram and Shyam are moving in the directions opposite to each other. The speeds of both persons are 10 km/h and 6 km/h, respectively. Find the speeds of Ram with respect of Shyam
Answer» a. 6 km/h B. 16 km/h c. 4 km/h d. 8 km/h Answer :B

Discussion

329.	(sin70^(@)+cos40^(@))/(cos70^(@)+sin40^(@))=?
Answer» 1 `(1)/(SQRT(3))` `sqrt(3)` `-sqrt(3)` ANSWER :C

Discussion

330.	ABCD is a square . A circle is inscribed in the square . Also taking A,B,C,D ( the vertices ofsquares ) as the centresof four quadrants , drawn inside the circel , which are touching each otheron the mid-points of the sides of square . Area of square is4 cm^(2) . What is the area of the shaded region ?
Answer» `(4- (3 pi)/(2)) cm^(2) ` `(2PI -4) cm^(2) ` `(4 - 2pi ) cm^(2) ` NONE of these ANSWER :B

Discussion

331.	In thequestion number13howmanywordsare therein whichN andB aretogether ?
Answer» 720 360 540 1440 Answer :D

Discussion

332.	The set of all the solution of the inequality log_(2-x) (x-3) ge 1 is :
Answer» `XLT2` `XGT3` `(xlt2)UU(xgt3)` NONE of these Answer :D

Discussion

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

Discussion

334.	A sum of Rs. 4,300 is distributed among M, N and O, such that M receives 25% more than N and N receives 25% less than O. What is O’s share in the amount?
Answer» A) 1564 B) 1600 C) 1632 D) 1714 Answer :10

Discussion

335.	meenu is 3 times as efficient as mamta, then the ratio of number of days required by each to work alone, completely?
Answer»

Discussion

336.	Find the roots of the equation 2x-L iz+15=0
Answer» `3 and (5)/(2)` `-3 and -(5)/(2)` `5 and (3)/(2)` `-5 and -(3)/(2)` ANSWER :A

Discussion

337.	Prove that2222^(5555) + 5555^(2222)isdivisible by 7 .
Answer» 0 1 4 5 Answer :a

Discussion

338.	a:b::2:3,b:c::4:1,c:d::2:5 find a:b:c:d.
Answer» `14:8:9:7` `17:24:7:14` `16:24:6:15` `19:25:8:17` ANSWER :C

Discussion

339.	A, B and C entered into a partnership. A invested Rs.3000 at the start. B invested 33(1)/(3)% more than the invested by A and C invested the average of the investment made by A and B. After 4 months. A withdraw 40% of his amount, B doubled his amount and C increased his amount by 20% After another 5 months, B got away from partnership and A double his amount while C maintained his amount. Profit at the end of year was Rs.677000 and profit was shared in the ratio of their investment and time. Quantity I: Profit earned by C. Quantity II: Average of profit earned by A, B and C together. Quantity II: Average of profit earned by A, B and C together.(a) Quantity I> Quantity II(b) Quantity I< Quantity II(c) Quantity I≥ Quantity II(d) Quantity I≤ Quantity II
Answer» Quantity I `gt` Quantity II Quantity I `lt` Quantity II Quantity I `ge` Quantity II Quantity I `le` Quantity II Solution :RATIO of INVESTMENT of A, B and C `(3000xx4+1800xx5+3600xx3)` `:(400xx4+8000xx5)` `:(14000+33600)` `31800: 56000:47600` `159:280:238` PROFIT of `C(238)/(677)xx6770000C=238000` Average of profit EARNED by `(A+B+C)~~225666`

Discussion

340.	Ifa= ( sqrt(3) )/( 2), thenthe valueofsqrt( 1+a ) + sqrt(1 - a)is
Answer» `SQRT(3)` `(sqrt(3))/(2)` `2+ sqrt(3)` `2- sqrt(3)` ANSWER :A

Discussion

341.	(2^(5557))/(13) find R .
Answer» ANSWER :`=2`

Discussion

342.	Solve the followings : The value of the expression (4^n xx 20^(m - 1) xx 12^(m-n) xx 15^(m+n-2))/(16^m xx 5^(2m + n) xx 9^(m-1)) is
Answer» 500 1 200 1/500 Answer :D

Discussion

343.	A man borrows ₹ 4000 and pays back after 5 years at 15% simple interest. What is the amount paid by the man after 5 years?
Answer» ₹ 1800 ₹ 4800 ₹ 7500 ₹ 7000 Answer :D

Discussion

344.	There are two places X and Y, 200 km apart from each other. Initially two persons P and Q both are at 'X'. The speed of P is 20 km/h and speed of Q is 30 km/h. Later on they starts to move to and fro between X and Y. If they starts to move between X and Y, then for the first time when they will meet each other?
Answer» after 12 hours after 24 hours after 30 hours after 8 hours Answer :D

Discussion

345.	There are two places X and Y, 200 km apart from each other. Initially two persons P and Q both are at 'X'. The speed of P is 20 km/h and speed of Q is 30 km/h. Later on they starts to move to and fro between X and Y. If they meet third time each other at a point C, somewhere between X and Y, then the ratio of distances CX and CY is :
Answer» `3:2` `1:3` `2:3` `2:5` ANSWER :C

Discussion

346.	There are two places X and Y, 200 km apart from each other. Initially two persons P and Q both are at 'X'. The speed of P is 20 km/h and speed of Q is 30 km/h. Later on they starts to move to and fro between X and Y. If they meet fourth time each other at apoint D somewhere between X and Y, then what is the distance between D and X?
Answer» 75 80 150 160 Answer :D

Discussion

347.	If (tanA)/(1-cotA)+(cotA)/(1-tanA)=K+tanA+cotA then K = ?
Answer» 1 2 0 3 Answer :A

Discussion

348.	There are five water pipes P_1 P_2, P_3, P_4,P_5 connected to a tank, which can fill or empty the tank individually in 45, 40,30,20,15 minutes, respectively. A few of them are inlet pipes and others are the outlet pipes. If the combination of an inlet pipe and an outlet pipe can either empty or fill the whole tank in 1 hour, which one of the following can be the feasible combination of pipes as indicated by {inlet pipe, outlet pipe} in that order only?
Answer» `{P_3,P_4}` and `{P_4,P_5}` `{P_1,P_2}` and `{P_4,P_5}` `{P_4,P_3}` and `{P_5,P_4}` `{P_4,P_3}` and `{P_4,P_5}` ANSWER :D

Discussion

349.	A function f(z_(1), z_(2), z_(3),.....z_(n))=f(z_(1), z_(2))+f(z_(2), z_(3),....,z_(n-1))+(z_(1)+z_(2)+....z_(n)), for n gt0 f(y, z)=f(z, 0)+f(0, y) f(y, 0)=y+f(y-1, 0) f(0, y)=y-f(0, y-1) f(0, 0)=1 Find the value of f(1, 2, 3, 4,........n), where n is a perfect cut less than 50 and n is greater than 25:
Answer» 1665 1089 729 not defined Answer :D

Discussion

350.	A function f(z_(1), z_(2), z_(3),.....z_(n))=f(z_(1), z_(2))+f(z_(2), z_(3),....,z_(n-1))+(z_(1)+z_(2)+....z_(n)), for n gt0 f(y, z)=f(z, 0)+f(0, y) f(y, 0)=y+f(y-1, 0) f(0, y)=y-f(0, y-1) f(0, 0)=1 Find the value of f(0, 1, 0, 1):
Answer» 2 4 8 none of these Answer :B

Discussion

Explore topic-wise InterviewSolutions in .

An equilateral triangle, a square anda circle have equal perimeters. If T denotes the area of triangle, S, the area of square and C, the area of the circle, then :

What can be the correct possible set of factors that determines the location of roots ofax^2+bx+c=0 of a quadratic equation which has a double root with respect to a randomly chosen point /con the X-axis?

What is the fourth proportional of 18,24,30.

If (x -y +z) : (y - z + 2w) : (2x + z-w) =2: 3:5, then (3x + 3z - 2w): w=?

What is the sum of the series 1+(1)/(2)+(1)/(4)+(1)/(8)+. . .?

All the natural numbers less than 1000 but not containing the digit '5' are arranged horizontally in descending order. What is the 555th number on the list?

2-[3-{6-(5divoverline(4-3))}] is equal to :

There are six circular rings of iron , kept close to each other . A string binds them as tightly as possible.If the radius of each circulariron ring is 1 cm. What is the minimum possible length of string required to bindthem ?

What will be a single equivalent discount for successive discounts of 10% and 5% on marked price of an article?

An A.P. and a G.P. have all the terms positive. Also the first and second terms of the progressions are equal, If a_i and g_i denote the terms of A.P. and G.P. respectively for every ineN and igt2, then which one of the following is true?

On what sum will the compound interest for 2(1)/(2) years at 10% amount to Rs 6352.50?

If a + b + c = 13 then, what is the maximum value of (a - 3) (b - 2) (c+ 1)

If b gt a, then the equation (x-a)(x-b) - 1 = 0 has,

If (sectheta+tantheta)/(sectheta-tantheta)=2(51)/(79), then sintheta will be-

What time taken by sum of rs.7000 to become rs.10500 at the rate of 5% per annum?

Five persons entered the lift cabin on the groud floor of an 8 floors house. Suppose that each of them, independent and with equal probability can leave the cabin at any of floor beginning with the first. Find put the probability of all five persons leaving at different floors.

How many numbers can be formed from 1, 2, 3, 4, 5 (without repetition), when the digit at the unit's place must be greater than that in the ten's place?

Solve the followings : Thevalue of expression ((0.6)^0 - (0.1)^(-1))/((3/(2^3))^(-1) . (3/2)^(3) + (-1/3)^(-1)) is :

A can run 40 m while B runs 50 m. In a km race, B beats A by which of the following distances?

The ratio of third proportional to 21 and 42 and mean proportinal to 16 and 49 is

A works thrice as much as B. If A can complete this work in 12 days, then in how many days will both A and B complete this work ?

A cone , a hemisphereand a cylinderstand on equal bases of radius R and have equal heights H . Their whole surfaces are in the ratio :

A card is drawn from a deck of 52 cards. Find the probability of getting a red card or a heart or a king.

N kg^(-1) is the unit of :

A runs 1 2/3timesasfastasb. ifA givesBa startof 4 m , how farmustthewiningpostbe , sothat AandBmightreachit atthe sametime ?

A moneylender borrows money at 4% per annum and pays the interest at the end of the year. He lends it at 6% per annum compound interest compounded half yearly and receives the interest at the end of the year. In this way he gains Rs. 104.50 a year. The amount of money he borrows, is

Ram and Shyam are moving in the directions opposite to each other. The speeds of both persons are 10 km/h and 6 km/h, respectively. Find the speeds of Ram with respect of Shyam

(sin70^(@)+cos40^(@))/(cos70^(@)+sin40^(@))=?

In thequestion number13howmanywordsare therein whichN andB aretogether ?

The set of all the solution of the inequality log_(2-x) (x-3) ge 1 is :

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

A sum of Rs. 4,300 is distributed among M, N and O, such that M receives 25% more than N and N receives 25% less than O. What is O’s share in the amount?

meenu is 3 times as efficient as mamta, then the ratio of number of days required by each to work alone, completely?

Find the roots of the equation 2x-L iz+15=0

Prove that2222^(5555) + 5555^(2222)isdivisible by 7 .

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

Ifa= ( sqrt(3) )/( 2), thenthe valueofsqrt( 1+a ) + sqrt(1 - a)is

(2^(5557))/(13) find R .

Solve the followings : The value of the expression (4^n xx 20^(m - 1) xx 12^(m-n) xx 15^(m+n-2))/(16^m xx 5^(2m + n) xx 9^(m-1)) is

A man borrows ₹ 4000 and pays back after 5 years at 15% simple interest. What is the amount paid by the man after 5 years?

If (tanA)/(1-cotA)+(cotA)/(1-tanA)=K+tanA+cotA then K = ?

A function f(z_(1), z_(2), z_(3),.....z_(n))=f(z_(1), z_(2))+f(z_(2), z_(3),....,z_(n-1))+(z_(1)+z_(2)+....z_(n)), for n gt0 f(y, z)=f(z, 0)+f(0, y) f(y, 0)=y+f(y-1, 0) f(0, y)=y-f(0, y-1) f(0, 0)=1 Find the value of f(0, 1, 0, 1):