8677 + Interview Questions in Maths in Class 14 Page 6 InterviewSolution

251.	Efficiency of A is (3)/(4)of B's efficiency and B's efficiency is 80% of C's efficiency. If A takes 120 more days than that of B and C working together to finish a certain piece of work. Then in how many days working together they will finish the work?
Answer» ANSWER :45 DAYS

Discussion

252.	A train travelling at 48 km/h completely crosses an another train having half length of first train and travelling in opposite directions at 42km/h in 12s.It also passes are ailway platfor min 45 s. The length of the platform is
Answer» 400 m 450 m 560 m 600 m Answer :A

Discussion

253.	If the simple interest on a certain sum of money for 2 years is one-fifth of the principal, then find the rate of interest per annum.
Answer» ANSWER :0.1

Discussion

254.	If (a^(2)-bc)/(a^(2) +bc) + (b^(2)-ac)/(b^(2) + ac) + (c^(2)-ab)/(c^(2)+ab)= 1 then find (a^(2))/(a^(2) + bc)+ (b^(2))/(b^(2) + ac) + (c^(2))/(c^(2) +ab)=?
Answer» ANSWER :2

Discussion

255.	What is the difference in profit earned by shopkeeper T in January 2010 from the previous month?
Answer» `X 640` `X 420` `X 380` `X 760` Answer :C

Discussion

256.	Which of the following statements is/are correct? A kite always has two axes of symmetry A square is both a kite and an isosceles trapezium Every kite is an orthodiagonal an isosceles trapezium can have a circumcircle A kite can always have an incircle If the sum of two opposite sides is not the same as the sum of the other pair of opposite sides, it can never be a circumscribing quadrilateral.
Answer» all, EXCEPT (II) and (IV) only (ii), (iii) and (v) only (i), (iii), (v) all, except (i) Answer :D

Discussion

257.	If a=b= 333, c= 334 find a^(3) + b^(3) + c^(3)- 3abc
Answer» ANSWER :1000

Discussion

258.	1f A = {1,2, 3,4} and B = {5, 6,7}, then AnnB is:
Answer» {1,2,3} {5,6,7} {4} `PHI` ANSWER :D

Discussion

259.	A company instead of raising the mark price by 20%, discounted the cost price by 20% while stitching the price tag on its product. Further the company offers a discount of 6.25% to its costomer. In this process company incurs a loss of Rs 37.5 on a single article. What was the cost price of that article.
Answer» ANSWER :150 RS

Discussion

260.	sec^(4)alpha(1-sin^(4)alpha)-2tan^(2)alpha=?
Answer» a) 1 b) 2 c) 3 d) 0 Answer :A

Discussion

261.	If sqrt(18xx14xx x)=168, then x is equal to
Answer» 113 112 115 117 Answer :B

Discussion

262.	Find the area of the rectangle ABCD, if P is any point on AB such that DP = 18 mm, CP = 21 mm and /_DPC = 90^@.
Answer» `378 mm^2` `189 mm^2` `126 mm^2` `136 mm^2` ANSWER :A

Discussion

263.	Arun and Bhaskar start from place P at 6:00 am and 7:30 am, respectively and run in the same direction. Arun and Bhaskar run at 8 km/h and 12 km/h, respectively. Bhaskar overtakes Arun at
Answer» `10 :30 am` `9 :10 am` `11 :30 am` `1 :00 am` Answer :A

Discussion

264.	Answer these questions based on the following information. A set contains 9 letters such that S={A,A,B,B,C,C,C,C}. Find the number of ways of selection of 4 letters such that each of A,B,C must be there.
Answer» 3 4 5 6 Answer :A

Discussion

265.	Two trains whose respective lengths are 200 m and 250 m cross each other in 18 s when they are travelling in opposite direction and in 1 minute when they are travelling in the same direction.What is the speed of the faster train(in km/h)?
Answer» 38.5 48.5 54 58.5 Answer :D

Discussion

266.	2sin^(2)theta+4cos^(2)theta=3:
Answer» `30^(@)` `60^(@)` `45^(@)` NONE of these Answer :C

Discussion

267.	If cotx=(a)/(b), find the value of a cos2x+b sin 2x
Answer» a b sina a/b Answer :A

Discussion

268.	Lagaan is levied on the 60%of the cultivated land. The revenue department collected total₹3,84,000 through the lagaan from the village of Sukhiya. Sukhiya, a very rich farmer, paid only ₹480 as lagaan. The percentage of total land of Sukhiya over the total taxable land taxable land of the village is :
Answer» A)`0.15%` B)`15%` C)`0.125% D)NONE of these Answer :D

Discussion

269.	What should be added to 8315945 xx 8315947, so that number will be a perfect square
Answer» 10 1 8315945 831595 Answer :B

Discussion

270.	A quadrilateral has one vertex on each side of a square of side-length 1. If the lengths of the quadrilateral are a, b, c, d, then
Answer» `2 LE a^2 + b^2 + c^2 +d^2 le 4` `1 le a^2 + b^2 + c^2 +d^2 le 4` `sqrt 2 le a^2 + b^2 + c^2 + d^2 le 4` `2 sqrt 2 le a^2 + b^2 + c^2 + d^2 le 4` Answer :A

Discussion

271.	If 5costheta+3cos(theta+(pi)/(3))+"sin"^(2)(pi)/(3)-2=A then valueof A will be between ?
Answer» `[-7,7]` `[5(3)/(4),-8(1)/(4)]` `[-5(3)/(4),+8(1)/(4)]` `[-8(1)/(4),+5(3)/(4)]` ANSWER :D

Discussion

272.	In a bulletthe gun powder is to be filledup insidethe metallic enclosure . The metallic enclosureis made up of a cylindrical base and conical top with the base of radius 5 cm. The ratio of height of cylinder and cone is 3:2 . A cylindrical hole dirlled through the metal solid with height two - third the height of metal solid. What should be the radiusof the hole , so that the volume of the hole ( in which gun powderis to be filled up ) is one-third the volume ofmetal solid after drilling ?
Answer» a. `sqrt((88)/(5))`cm B. `sqrt((55)/(8))`cm C. `(55)/(8) cm ` d. `33pi cm ` Answer :B

Discussion

273.	Bhartiya Idol is a talent search programme launched and run by TV Tarana. In his programme each participating candidate has to appear for the audition in such a manner that a candidate will play the Antakchhary with its aspiring apponent will be fails, otherwise he can continue and become winner. If a candidate fails on his part, he will have to leave the contest and in place of it another candidate will start off with the same existing opponent. The number of points a candidate scores is equal to the number of times he responds correctly to his opponents. The candidate who finishes the game (or who wins over the last opponent) will declared as a winner, even if hs/she has scored less points and started as the last participant. The points scored individually by all the 10 candidates are as shown below. Besides if a person loses the contest only if he/she responds incorrectly. The average score of five participants who started earlier :
Answer» a.23 b.12.4 c.19.5 d.can't be determined Answer :D

Discussion

274.	If 75% of students in a school are boys and the number of girls is 310, the number of boys is
Answer» 910 920 930 none of these Answer :C

Discussion

275.	It is known that 6% of the mangoes are rotten. If the number of rotten mangoes are 54, then the total number of mangoes is
Answer» 900 950 1000 1050 Answer :A

Discussion

276.	What is the average of all two digit natural numbers?
Answer» 54.5 69.5 75.5 59 Answer :C

Discussion

277.	A train 270m long is runing over a bridge length of 130 m with a speed of 40 m/s What is the time taken by this train to cross the bridge?
Answer» 6 s 16 s 10 s none of these Answer :C

Discussion

278.	The prime cost of an article is three times the value of the raw material used the cost of raw-material increase in the ratio of 5:12 and manufacturing expenses in the ratio 4:5..The article, which originally cost Rs. 6 will new cost?1
Answer» RS `9.80` Rs `4.8` Rs 5 Rs `9.6` ANSWER :A

Discussion

279.	If P and Q shared₹1300 in the ratio 12:1, how much did Q get?
Answer» 120 1200 100 1000 Answer :C

Discussion

280.	log_(a)(mn) is equal to
Answer» `N log_(a) (m)` `log_(a)m XX log_(a)n` `log_(a)m + log_(a)n` `log_(a)m - log_(a)n` ANSWER :C

Discussion

281.	Find the number of ways of expressing 2310 as product of 3 distinct factors.
Answer» SOLUTION :`axxbxxc = 2310 = 2^1xx3^1xx5^1xx7^1xx11^1`

Discussion

282.	There are two quadratic equations. Solve these equations and find the relation between p and q.p^2-361=0 q^2-40q+399=0
Answer» `pltq` `pgtq` `pleqq` `pleqq` ANSWER :C

Discussion

283.	a and b are any number and x and y are any non negative integers. f(a)= the greatest integer less than or equal to a g(a)= the smallest integer greater than or equal to a r(x, y)= the remainder when x is dividied by y. r(x, y) with both x and y not equal to zero is equal to :
Answer» `l((x)/(y))` `x[-YL((x)/(y))]` `y-[XL((x)/(y))]` `[l((x)/(y))-y]` ANSWER :B

Discussion

284.	If M(a, b)=a^(2)+b^(2)+ab,N(a, b)=a^(2)+b^(2)-ab. Find the value of M(7, N(9, 4)).
Answer» 5197 3197 4197 none of these Answer :C

Discussion

285.	The perimeter of a rectangle and an equilateral triangle are same. Also, one of the sides of the rectangle is equal to the side of the triangle. The ratio of the areas of the rectangle and the triangle is
Answer» `SQRT(3) :1` `1:sqrt(3)` `2:sqrt(3) ` `4:sqrt(3)` Answer :C

Discussion

286.	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. After starting their race, they meet each other for the n^(th) time at point X, then what is the minimum possible value of n?
Answer» 1 2 3 5 Answer :D

Discussion

287.	Solve the following expressions . (-1/(343))^(-2//3)
Answer» ANSWER :`49`

Discussion

288.	AB and CD are two diameters of a circle of radius r and they are mutually perpendicular. What is the ratio of the area of the circle to the area of the triangle ACD?
Answer» `PI/2` `pi` `pi/4` `2PI` ANSWER :B

Discussion

289.	If Raj was one-third as old as Rahim 5 years back and Raj is 17 years old now, How old is Rahim now?
Answer» a. 40 b. 41 c. 36 d. 45 Answer :RS. 36000

Discussion

290.	The mean proportinal between 16 and 49 :
Answer» 64 144 28 49 Answer :C

Discussion

291.	The ratio of salary of A:B=1:2,B:C=3:4, C:D=5:6 and D:E=7:8 What is the ratio of salary of A and E?
Answer» SOLUTION :A:B:C:D:E=(1xx3xx5xx7):(2xx3xx5xx7):(2xx4xx5xx7):(2xx4xx6xx7):(2xx4xx6xx8) or A:B:C:D:E=105:210:280:336:384 So the SALARY of A:E =105:384=35:128

Discussion

292.	In,the given equation ax^2+bx+c, if a = 0 and b = 0 than
Answer» The EQUATION represents a LINEAR equation,an The equation represents a quadratic equation The equation represents a bi-quadratic. equation none, of the above Answer :A

Discussion

293.	If the length of diagonal BD of a square ABCD is 4.8 cm, the area of the squareABCD is :
Answer» `9.6 cm^2` `11.52 cm^2` `12.52 cm^2` `5.76 cm^2` ANSWER :B

Discussion

294.	If the length and breadth of a rectangle are changed by + 20% and -10%. What is the percentage change in area of rectangle ?
Answer» `8%` `10.8%` `20%` DATA insufficient Answer :A

Discussion

295.	A sum of money amounts Rs. 800 in 3 years and Rs. 840 in 4 years at compound interest. What is the rate of compound interest per annum?
Answer» ANSWER :`5%`

Discussion

296.	x^(35) +3 is divided by x^(5)+1, find remainder
Answer» ANSWER :2

Discussion

297.	The value of cos15^(@)-sin15^(@) is
Answer» `(1)/(SQRT(2))` `(1)/(2)` `-(1)/(sqrt(2))` 0 Answer :A::B

Discussion

298.	Akbar, Birbal and Chanakya run around a circular track of length 500 m. Akbar and Birbal run with the speeds of 15 m/s and 20 m/s in the same direction respectively and Chanakya being very intelligent run in the opposite direction with a speed of 25 m/s. If all three of them start at the same time, then :
Answer» AKBAR MEETS Chanakya more frequently than BIRBAL does Akbar and Chanakya meets as frequently as Birbal and Chanakya Akbar meets Birbal LEAST frequently Nothing can be concluded Answer :C

Discussion

299.	Find the angle which is four times of its supplementary angle.
Answer» ANSWER :144

Discussion

300.	The ratio of the measure of an angle of a regular nonagon to the measure of its exterior angle is :
Answer» 0.12847222222222 0.20972222222222 0.29305555555556 0.17013888888889 Answer :C

Discussion

Explore topic-wise InterviewSolutions in .

Efficiency of A is (3)/(4)of B's efficiency and B's efficiency is 80% of C's efficiency. If A takes 120 more days than that of B and C working together to finish a certain piece of work. Then in how many days working together they will finish the work?

A train travelling at 48 km/h completely crosses an another train having half length of first train and travelling in opposite directions at 42km/h in 12s.It also passes are ailway platfor min 45 s. The length of the platform is

If the simple interest on a certain sum of money for 2 years is one-fifth of the principal, then find the rate of interest per annum.

If (a^(2)-bc)/(a^(2) +bc) + (b^(2)-ac)/(b^(2) + ac) + (c^(2)-ab)/(c^(2)+ab)= 1 then find (a^(2))/(a^(2) + bc)+ (b^(2))/(b^(2) + ac) + (c^(2))/(c^(2) +ab)=?

What is the difference in profit earned by shopkeeper T in January 2010 from the previous month?

If a=b= 333, c= 334 find a^(3) + b^(3) + c^(3)- 3abc

1f A = {1,2, 3,4} and B = {5, 6,7}, then AnnB is:

sec^(4)alpha(1-sin^(4)alpha)-2tan^(2)alpha=?

If sqrt(18xx14xx x)=168, then x is equal to

Find the area of the rectangle ABCD, if P is any point on AB such that DP = 18 mm, CP = 21 mm and /_DPC = 90^@.

Arun and Bhaskar start from place P at 6:00 am and 7:30 am, respectively and run in the same direction. Arun and Bhaskar run at 8 km/h and 12 km/h, respectively. Bhaskar overtakes Arun at

Answer these questions based on the following information. A set contains 9 letters such that S={A,A,B,B,C,C,C,C}. Find the number of ways of selection of 4 letters such that each of A,B,C must be there.

Two trains whose respective lengths are 200 m and 250 m cross each other in 18 s when they are travelling in opposite direction and in 1 minute when they are travelling in the same direction.What is the speed of the faster train(in km/h)?

2sin^(2)theta+4cos^(2)theta=3:

If cotx=(a)/(b), find the value of a cos2x+b sin 2x

What should be added to 8315945 xx 8315947, so that number will be a perfect square

A quadrilateral has one vertex on each side of a square of side-length 1. If the lengths of the quadrilateral are a, b, c, d, then

If 5costheta+3cos(theta+(pi)/(3))+"sin"^(2)(pi)/(3)-2=A then valueof A will be between ?

If 75% of students in a school are boys and the number of girls is 310, the number of boys is

It is known that 6% of the mangoes are rotten. If the number of rotten mangoes are 54, then the total number of mangoes is

What is the average of all two digit natural numbers?

A train 270m long is runing over a bridge length of 130 m with a speed of 40 m/s What is the time taken by this train to cross the bridge?

The prime cost of an article is three times the value of the raw material used the cost of raw-material increase in the ratio of 5:12 and manufacturing expenses in the ratio 4:5..The article, which originally cost Rs. 6 will new cost?1

If P and Q shared₹1300 in the ratio 12:1, how much did Q get?

log_(a)(mn) is equal to

Find the number of ways of expressing 2310 as product of 3 distinct factors.

There are two quadratic equations. Solve these equations and find the relation between p and q.p^2-361=0 q^2-40q+399=0

a and b are any number and x and y are any non negative integers. f(a)= the greatest integer less than or equal to a g(a)= the smallest integer greater than or equal to a r(x, y)= the remainder when x is dividied by y. r(x, y) with both x and y not equal to zero is equal to :

If M(a, b)=a^(2)+b^(2)+ab,N(a, b)=a^(2)+b^(2)-ab. Find the value of M(7, N(9, 4)).

The perimeter of a rectangle and an equilateral triangle are same. Also, one of the sides of the rectangle is equal to the side of the triangle. The ratio of the areas of the rectangle and the triangle is

Solve the following expressions . (-1/(343))^(-2//3)

AB and CD are two diameters of a circle of radius r and they are mutually perpendicular. What is the ratio of the area of the circle to the area of the triangle ACD?

If Raj was one-third as old as Rahim 5 years back and Raj is 17 years old now, How old is Rahim now?

The mean proportinal between 16 and 49 :

The ratio of salary of A:B=1:2,B:C=3:4, C:D=5:6 and D:E=7:8 What is the ratio of salary of A and E?

In,the given equation ax^2+bx+c, if a = 0 and b = 0 than

If the length of diagonal BD of a square ABCD is 4.8 cm, the area of the squareABCD is :

If the length and breadth of a rectangle are changed by + 20% and -10%. What is the percentage change in area of rectangle ?

A sum of money amounts Rs. 800 in 3 years and Rs. 840 in 4 years at compound interest. What is the rate of compound interest per annum?

x^(35) +3 is divided by x^(5)+1, find remainder

The value of cos15^(@)-sin15^(@) is

Find the angle which is four times of its supplementary angle.

The ratio of the measure of an angle of a regular nonagon to the measure of its exterior angle is :