8677 + Interview Questions in Maths in Class 14 Page 54 InterviewSolution

2651.	There are 5 different boxes and 7 different balls. All the balls are to be distributed in the 5 boxes placd in a row so that any box can receive any number of balls. In how many ways can these balls be distributed so that box 2 and box 4 contain only 1 and 2 balls respectively?
Answer» 5522 8505 2305 none of these Answer :B

Discussion

2652.	If the compound interest on a certain sum for 2 years is Rs. 105 and simple interest is Rs. 100, then the sum is
Answer» ANSWER :RS. 500

Discussion

2653.	In the game of billiards, A can give B, 20 points in 80 and B can give C, 16 points in 80. How many points can A give C in a game of 200?
Answer» 64 72 80 none of these Answer :C

Discussion

2654.	If ab + bc + ca = 0, then find the value of (b)/((a+b)(b+c))+(c)/((a+c)(c+b))+(a)/((a+b)(c+a))
Answer» 1 0 `-1` 2 Answer :B

Discussion

2655.	Out of the 144 persons working in an office, 56 are men and the remaining are women. Find the ratio of number of women to number of men.
Answer» SOLUTION :RATIO 88/56=11/7(`because` NUMBER of women=144-56)

Discussion

2656.	Which one of the following is a Pythagorean triple in which one side differs from the hypotenuse by two units?
Answer» `(2N + 1, 4n,2n^(2) +2n)` `(2n,4n, N^(2) + 1)` `(2n^(2),2n, 2n+ 1)` `{2n, n^(2) -1 ,\n^(2) + 1)` ANSWER :D

Discussion

2657.	x is inversely proportional to square of y, when x = 4, then y = 3 . Find x , if y=6
Answer» 2 `SQRT2` 1 4 Answer :C

Discussion

2658.	If a, b are postitive real numbers such that ab=1, then the least value of the expression (1+a)(1+b) is
Answer» 2 4 1 (1/4) ANSWER :B

Discussion

2659.	A girl buys 2 pigeons for ₹ 182. She sells one at a loss of 5% and another at a profit if 8%. But she neither gains nor loses on the whole. Find the price of pigeon which has sold at a profit :
Answer» 171 133 218 228 Answer :D

Discussion

2660.	Find the value of 3sin20^(@)-4sin^(3)20^(@).
Answer» `(SQRT(3))/(2)` `(1)/(2)` `(1)/(sqrt(2))` `(2)/(sqrt(3))` ANSWER :A

Discussion

2661.	A train moves from a station and after traveling 333 km meets with an accident. And then the speed of the train becomes by 119/787th of its former speed. And tavelling the remaining distance it reaches to its destination 4 hours late. If the accident occured 111 km ahead then it reaches 3 hours late. Then find the distance of its journey?
Answer» ANSWER : 777 KM

Discussion

2662.	If a+b+c=3,a^2+b^2+c^2=6 and 1/a+1/b+1/c=1 where a,b,c are all non zero then abc is:
Answer» `(1/3)` `(2/3)` `(3/2)` `1` ANSWER :C

Discussion

2663.	The maximum value 49-(7-x)^2 is
Answer» 49 42 0 none of these Answer :A

Discussion

2664.	If x+ (1)/(x) = sqrt3 find x^(26) + (1)/(x^(26))
Answer» ANSWER :1

Discussion

2665.	If the arcs of the same length in two circles subtend angles of 60^(@) and 90^(@) at the centre, then the ratio ofthe their radii is :
Answer» 44256 44228 44230 2 Answer :C

Discussion

2666.	9 people went to a hotel for combined dinner. 8 people out of9 spend Rs. 30 each on dinner . 9th person spend Rs. 20 more than then average of all 9 persons. Find the total expenditure on dinner
Answer» ANSWER :RS. 292.5

Discussion

2667.	The MP of an article is 30% higher than its CP and 20% discount is allowed on this article, then the profit percentage
Answer» `10%` `14%` `4%` `26%` Answer :C

Discussion

2668.	Which one of the following is false about the equation 4x^2-12x+9=0?
Answer» It can be EXPRESSED as a perfect square. The SOLUTION of this EQUATION is a DOUBLE root. The multiplicity of this equation is 2. The roots are 1.5 units AWAY from the X-axis in the left side. Answer :D

Discussion

2669.	If xsintheta+ycostheta=sintheta.costheta and xsintheta-ycostheta=0 find x^(2)+y^(2)
Answer» ANSWER :1

Discussion

2670.	If tanalpha,tanbeta are the roots of x^(2)+px+q=0(pneq) then tan(alpha+beta)=?
Answer» <P>`p-1` `(p)/(q-1)` `2q-p` NONE of these Answer :A

Discussion

2671.	Find the simple interest on ₹ 1000 at 12% per annum for 3 years
Answer» SOLUTION :`SI=(PRT)/100=(1000xx12xx5)/100=₹600`

Discussion

2672.	A person takes a loan of ₹ 200 at 5% simple interest. He returns ₹ 100 at the end of one year. In order to dear his dues at the end of 2 years, he would pay:
Answer» 125.5 110 115.5 none ofthese Answer :C

Discussion

2673.	If a number is divisible by both 11 and 13,then it must be necessarily429 (b) divisibleby (11xx13)(c) divisible by (11+13)(d) divisible by (13-11)
Answer» DIVISIBLE by (11 + 13) divisible by (13 - 11) divisible by `(11 XX 13)` 429 Answer :C

Discussion

2674.	A sum of money Amounts of Rs. 1016 in 3 years and Rs. 1304 in 7 years. Find the Rate and Principal ?
Answer» ANSWER :RS. 800, 9%

Discussion

2675.	Rajeev and Sanjeev are too close friends Rajeev's watch gains 1 minute in an hour ans Sanjeev's watch loses 2 minutes in an hour. Once they set both the watches at 12:00 noon, with my correct watch. When will the two incorrect watches of Rajeev and Sanjeev show the same time together?
Answer» 8 DAYS later 10 days later 6 days later can't be determined Answer :B

Discussion

2676.	The marked price of a TV is 16000. After two successive discounts, it is sold for11400. If the first discount is 5%, then the rate of second discount is
Answer» 0.15 0.2 0.3 0.25 Answer :D

Discussion

2677.	From cylinder A containing 108 litre of mixture of water and alcohol in ratio of 8:1,36 litre of the mixture is taken out and poured into cylinder B in which ratio of water to alcohol is 3:1. If difference between total water and total alcohol in cylinder B is 60 litre then find the quantity of intial mixture in cylinder B.
Answer» 60 Litre 48 Litre 64 Litre 66 Litre Solution :Let INITIALLY water and ALCOHOL in Cylinder B is 3X litre and X litre RESPECTIVELY. Now ` 3x+(8)/(9) xx36-x-(1)/(9) xx36=60` `3x+32-x-4=60` `x=16`

Discussion

2678.	Three cats are roaming in a zoo in such a way that when cat A takes 5 steps, B takes 6 steps and cat C takes 7 steps. But the 6 steps of A are equal to the 7 steps of B and B steps ofC. What is the ratio of their speeds:
Answer» 140:144:147 1.6977662037037 0.63990740740741 252:245:240 Answer :A

Discussion

2679.	A and B invest Rs 60,000 and Rs 80,000 in a business. A receives Rs 100 per month out of Profit for running the business and the rest of the profit is divided in the ratio of investment. If in a year A receives Rs 3,900, what doesB receives.
Answer» ANSWER :RS. 3600

Discussion

2680.	Two light rods AB = a + b and CD = a -b symmetrically lying on a horizontal. There are kept intact by two strings AC and BD. The perpendicular distance between rods is a. The length of AC is given by
Answer» a. `a^2 + B^2` b. `a^2 - b^2` C. `SQRT(a^2-b^2)` d. `sqrt(a^2 + b^2)` ANSWER :D

Discussion

2681.	The sum of the first and the third term of G.P. is 15 and that of the 5th and the 7th terms is 240. Find the 9th term :
Answer» 678 786 867 768 Answer :D

Discussion

2682.	If 42573 k is divisible by 72 then the value of k is:
Answer» 4 5 6 7 Answer :C

Discussion

2683.	Two men calculate their profit. One calculates his profit at SP and another one at CP. SP of article is same. One gets 25% profit and another gets 15% profit. Difference of profit is Rs 275. Find SP.
Answer» ANSWER :RS 2300

Discussion

2684.	When a number is successively divided by 4 and 5. The remainder obtained are 1 and 4 respectively. when the same number is successively divided by 5 and 4, the remainder obtained are -?
Answer» 4, 1 3, 2 2, 3 1, 3 Answer :C

Discussion

2685.	If A, B and C be any three sets, then Auu(BnnC) is the
Answer» `(ANNC)uu(BNNC)` `(AuuB)nn(AuuC)` `(AuuB)nn(BUUC)` `(AuuC)nn(BuuC)` Answer :B

Discussion

2686.	Find the sum of 1+2/3+4/9+6/27+8/81+10/243+....+oo:
Answer» (A) 5/4 (B) 6/5 (C) 19/45 (D) 81/17 Answer :B

Discussion

2687.	Two numbersare selected at random from integers 1 through 9. If the sum is even, findthe probability that both the numbers are odd.
Answer» `5//8` `3//8` `3//10` NONE of these Answer :A

Discussion

2688.	What rate per cent does Shantanu get for his money when in discounting a bill due 30 months hence he deducts 30% of the amount of the bill ?
Answer» `17(2)/(7)%` `17(3)/(7)%` `17(5)/(7)%` `17(1)/(7)%` ANSWER :D

Discussion

2689.	A is twice as good a workman as B and therefore A takes 6 days less than B to finish the work individually. If A and B working complete togetherthe work in 4 days, then how many days are required by B to complete the work alone?
Answer» 12 18 8 6 Answer :A

Discussion

2690.	The sum of all possible factors of 500 (including 1 and 500 themselves) equals: c
Answer» 784 980 1092 1350 Answer :C

Discussion

2691.	The value of (sin 39^(@))/(cos 51^(@)) + 2 tan 11^(@) tan 31^(@) tan 45^(@) tan 59^(@) tan 79^(@) - 3 (sin^(2) 21 ^(@) + sin^(2) 69^(@)) is
Answer» 2 `-1` 1 0 Answer :D

Discussion

2692.	If the side of square is increased by 20% , then how much per cent does its area get increased :
Answer» `40%` `20%` `44%` `24%` ANSWER :C

Discussion

2693.	In which ratio X Axis will divide the join of two point (3,-6),(4,5)
Answer» ANSWER :`m/n=6/5`

Discussion

2694.	Divide 36x^(2)y^(5)+42xy^(3)-24x^(3)y^(2)-12y^(5) by -6y^(2).
Answer» `6x^2y^3-7xy+4x^3+2y^3` `-6x^2y^3-7xy^2+4x^2+2y^3` `-6x^2y^3-7xy+4x^3+2y^3` NONE of these Answer :C

Discussion

2695.	A house-owner was having his house painted. He was advised that he would require 25 kg of paint. Allowing for 15% wastage and assuming that the paint is available in 2 kg cans, what would be the cost of paint purchased, if one can costs Rs. 16?
Answer» ANSWER :RS. 240

Discussion

2696.	A, B and C can do a piece of work in 20, 24 and 30 days, respectively. They undertook to do the piece of work for Rs. 5400. They begin the work together but B left 2 days before the completion of work and c left 5 days before the completion of work. The share of A from the assured money is
Answer» Rs.2700 Rs. 540 Rs. 1800 Rs. 600 Answer :A

Discussion

2697.	Consider the following statements I. tan theta increases faster than sintheta " as " theta increases. II. The value of sin theta + cos theta is always greater than 1. Which of the statements given above is/are correct ?
Answer» Only I Only II Both I and II NEITHER I nor II Answer :A

Discussion

2698.	The ratioof milk and water in a mixture is 3:7.We added 10 lt water of the mixture then ratio becomes 1:3 .Find the initial quantity of milk .
Answer» 10 lt 15 lt 11 lt 13 lt Answer :A

Discussion

2699.	A person goes for an examination in which there are four papers with a maximum of m marks from each paperr. The number of ways in which one can get 2m marks, is
Answer» `1/3 (n^2-5n+4)` `1/3 (n+1)(2n^2+4n+3)` 1/6 (n+1)(n+4) NONE of these Answer :B

Discussion

2700.	What is the profit earned by selling a watch for ? 15675? I. Total cost price of 5 such watches is equal to selling price of 4 such watches. II 25 % profit is earned by selling each watch.
Answer» Either A and B and C are sufficient to answer the question Either A and B or A and C are sufficient to answer the question Either A and C or B and C are sufficient to answer the question A, B and C together are sufficient to answer the question Solution :From `ATO` LET selling price of 4 watches `=12x` COST price of 4 watches `=12xxx2/3=8x` Profit EARNED on 4 watches `=12x-8x=4x` Cost price of 3 shirts `=12x` Profit earned on selling 1 watch = x Profit earned on selling 1 shirt `=2x` Profit earned on selling 2 shirts `=4x` Required profit precentage `=(x+4x)/(2x+8x)xx100=50%` From `Bto` Lets elling price of 2 shirts and 6 watches be 12x and 18y respectively. If profit `%` is 50, we can calculate total profit i.e. `1/3(12x+18y)=4x+6y.` This profit is equal to `500%` of CP of 1 watch. But we don't know Cp of a wathc, hence we can't calculate further. From `Cto` Let cost price of watch is 'a' and cost prie of shirt is 'b' Calculate further. Now combining the statement B and C `b+a=6x` `(500)/(100)(a)=5a=4x+6y` We can't solve it further, as we don't solvet it further, as we don't know whether profit or loss earned on selling the wathch. Statement 'A' alone is sufficient to answer the question, but statement 'B'alone is not sufficient to answer the questions.

Discussion

Explore topic-wise InterviewSolutions in .

There are 5 different boxes and 7 different balls. All the balls are to be distributed in the 5 boxes placd in a row so that any box can receive any number of balls. In how many ways can these balls be distributed so that box 2 and box 4 contain only 1 and 2 balls respectively?

If the compound interest on a certain sum for 2 years is Rs. 105 and simple interest is Rs. 100, then the sum is

In the game of billiards, A can give B, 20 points in 80 and B can give C, 16 points in 80. How many points can A give C in a game of 200?

If ab + bc + ca = 0, then find the value of (b)/((a+b)(b+c))+(c)/((a+c)(c+b))+(a)/((a+b)(c+a))

Out of the 144 persons working in an office, 56 are men and the remaining are women. Find the ratio of number of women to number of men.

Which one of the following is a Pythagorean triple in which one side differs from the hypotenuse by two units?

x is inversely proportional to square of y, when x = 4, then y = 3 . Find x , if y=6

If a, b are postitive real numbers such that ab=1, then the least value of the expression (1+a)(1+b) is

A girl buys 2 pigeons for ₹ 182. She sells one at a loss of 5% and another at a profit if 8%. But she neither gains nor loses on the whole. Find the price of pigeon which has sold at a profit :

Find the value of 3sin20^(@)-4sin^(3)20^(@).

If a+b+c=3,a^2+b^2+c^2=6 and 1/a+1/b+1/c=1 where a,b,c are all non zero then abc is:

The maximum value 49-(7-x)^2 is

If x+ (1)/(x) = sqrt3 find x^(26) + (1)/(x^(26))

If the arcs of the same length in two circles subtend angles of 60^(@) and 90^(@) at the centre, then the ratio ofthe their radii is :

9 people went to a hotel for combined dinner. 8 people out of9 spend Rs. 30 each on dinner . 9th person spend Rs. 20 more than then average of all 9 persons. Find the total expenditure on dinner

The MP of an article is 30% higher than its CP and 20% discount is allowed on this article, then the profit percentage

Which one of the following is false about the equation 4x^2-12x+9=0?

If xsintheta+ycostheta=sintheta.costheta and xsintheta-ycostheta=0 find x^(2)+y^(2)

If tanalpha,tanbeta are the roots of x^(2)+px+q=0(pneq) then tan(alpha+beta)=?

Find the simple interest on ₹ 1000 at 12% per annum for 3 years

A person takes a loan of ₹ 200 at 5% simple interest. He returns ₹ 100 at the end of one year. In order to dear his dues at the end of 2 years, he would pay:

If a number is divisible by both 11 and 13,then it must be necessarily429 (b) divisibleby (11xx13)(c) divisible by (11+13)(d) divisible by (13-11)

A sum of money Amounts of Rs. 1016 in 3 years and Rs. 1304 in 7 years. Find the Rate and Principal ?

Rajeev and Sanjeev are too close friends Rajeev's watch gains 1 minute in an hour ans Sanjeev's watch loses 2 minutes in an hour. Once they set both the watches at 12:00 noon, with my correct watch. When will the two incorrect watches of Rajeev and Sanjeev show the same time together?

The marked price of a TV is 16000. After two successive discounts, it is sold for11400. If the first discount is 5%, then the rate of second discount is

Three cats are roaming in a zoo in such a way that when cat A takes 5 steps, B takes 6 steps and cat C takes 7 steps. But the 6 steps of A are equal to the 7 steps of B and B steps ofC. What is the ratio of their speeds:

A and B invest Rs 60,000 and Rs 80,000 in a business. A receives Rs 100 per month out of Profit for running the business and the rest of the profit is divided in the ratio of investment. If in a year A receives Rs 3,900, what doesB receives.

Two light rods AB = a + b and CD = a -b symmetrically lying on a horizontal. There are kept intact by two strings AC and BD. The perpendicular distance between rods is a. The length of AC is given by

The sum of the first and the third term of G.P. is 15 and that of the 5th and the 7th terms is 240. Find the 9th term :

If 42573 k is divisible by 72 then the value of k is:

Two men calculate their profit. One calculates his profit at SP and another one at CP. SP of article is same. One gets 25% profit and another gets 15% profit. Difference of profit is Rs 275. Find SP.

When a number is successively divided by 4 and 5. The remainder obtained are 1 and 4 respectively. when the same number is successively divided by 5 and 4, the remainder obtained are -?

If A, B and C be any three sets, then Auu(BnnC) is the

Find the sum of 1+2/3+4/9+6/27+8/81+10/243+....+oo:

Two numbersare selected at random from integers 1 through 9. If the sum is even, findthe probability that both the numbers are odd.

What rate per cent does Shantanu get for his money when in discounting a bill due 30 months hence he deducts 30% of the amount of the bill ?

A is twice as good a workman as B and therefore A takes 6 days less than B to finish the work individually. If A and B working complete togetherthe work in 4 days, then how many days are required by B to complete the work alone?

The sum of all possible factors of 500 (including 1 and 500 themselves) equals: c

The value of (sin 39^(@))/(cos 51^(@)) + 2 tan 11^(@) tan 31^(@) tan 45^(@) tan 59^(@) tan 79^(@) - 3 (sin^(2) 21 ^(@) + sin^(2) 69^(@)) is

If the side of square is increased by 20% , then how much per cent does its area get increased :

In which ratio X Axis will divide the join of two point (3,-6),(4,5)

Divide 36x^(2)y^(5)+42xy^(3)-24x^(3)y^(2)-12y^(5) by -6y^(2).

A house-owner was having his house painted. He was advised that he would require 25 kg of paint. Allowing for 15% wastage and assuming that the paint is available in 2 kg cans, what would be the cost of paint purchased, if one can costs Rs. 16?

A, B and C can do a piece of work in 20, 24 and 30 days, respectively. They undertook to do the piece of work for Rs. 5400. They begin the work together but B left 2 days before the completion of work and c left 5 days before the completion of work. The share of A from the assured money is

Consider the following statements I. tan theta increases faster than sintheta " as " theta increases. II. The value of sin theta + cos theta is always greater than 1. Which of the statements given above is/are correct ?

The ratioof milk and water in a mixture is 3:7.We added 10 lt water of the mixture then ratio becomes 1:3 .Find the initial quantity of milk .

A person goes for an examination in which there are four papers with a maximum of m marks from each paperr. The number of ways in which one can get 2m marks, is

What is the profit earned by selling a watch for ? 15675? I. Total cost price of 5 such watches is equal to selling price of 4 such watches. II 25 % profit is earned by selling each watch.