8677 + Interview Questions in Maths in Class 14 Page 86 InterviewSolution

4251.	If A is the setof all integral multiples of3 andB is the setof all integral multiples of 5, then A nn Bis the set all intergal multiples of :
Answer» 3 + 5 `5-3` GCD (3, 5) LCM (3, 5) ANSWER :D

Discussion

4252.	What is difference between compound interest on 7 5000 for 2 yr at 4% per annum when the interest is compounded yearly and half-yearly?
Answer» ANSWER :A

Discussion

4253.	4 men and 2 boys can finish a piece of work in 5 days. 3 women and 4 boys can finish the same work in 5 days. Also 2 men and 3 women can finish the same workin 5 days.. In how many days 1 man, 1 woman and one boy can finish the work, at their double efficiency?
Answer» `4 8/13` `4 7/13` `3 7/13` NONE of these Answer :D

Discussion

4254.	A and C working together can finish certain piece of work in 12 days. A and B can finish same piece of work in 20 days. If A work for 24 days and B for 6 days then rest work done by C in 2 days. Then find in how many days A, B and C can finish same piece of work, working together?
Answer» ANSWER :10 DAYS

Discussion

4255.	If sintheta-costheta=(7)/(17) then sintheta+costheta=?
Answer» ANSWER :`(23)/(17)`

Discussion

4256.	PDeltaQ = P + Q, If PQ lt 0 PDeltaQ = P - Q, If PQ gt 0 [(2Delta3) Delta (-2Delta3)] is equal to :
Answer» 0 1 2 3 Answer :A

Discussion

4257.	If (pqr)^2 = (ijk pqr), where i,j,k,p,q,r in W, are pqr and ijkpqr are three digits and 6 digits numbers respectively. Then the value of i xx jxx k xx p xx q xx ris :
Answer» 0 720 can't SAY NONE of these ANSWER :A

Discussion

4258.	1(3)/( 5) + 1( 8)/( 9) + 2 ( 4)/( 5) = ?
Answer» `6(19)/( 45)` `6(16)/(45)` `6(17)/( 45)` `6(13)/( 45)` ANSWER :D

Discussion

4259.	The value of log(ab)^(2) - log(ac) + log(bc^(4)) - 3 log (bc) is:
Answer» 0 log b log c log a Answer :D

Discussion

4260.	The number of zeros at the end of the product of : 2^3xx3^4xx4^5xx5^6 + 3^5xx5^7xx7^9xx8^(10) + 4^5xx5^6xx6^7xx7^8-10^2xx15^3xx20^4 is :
Answer» 5 6 28 none of these Answer :B

Discussion

4261.	How many integer solutions are there to the equation x_1+x_2+x_3+x_4 = 30, such that 3 le x_1,x_2,x_3,x_4 le 10
Answer» 246 184 1084 none of these Answer :A

Discussion

4262.	A sum becomes Rs. 2916 in 2 years at 8% per annum compound interest. The simple interest at 9% per annum for 3 years on the same amount will be
Answer» ANSWER :RS. 675

Discussion

4263.	The minimum value of the expression abs(17x-8)-9 is :
Answer» 0 -9 `8/17` none of these Solution :The MINIMUM value of EXPRESSION `abs(17x-8)-9` is minimum only when `abs(17x-8)` is minimum. But the minimum value of `absk` is zero. HENCE minimum value of `abs(17x-8) - 9 = 0 - 9 = -9`

Discussion

4264.	A question paper has two parts-Part A and Part B. Part A contains 5 questions and part B has 4. Each question in part has an alternative. A student has to attempt atleast one question from each part. Find the number of ways in which the student can attempt the question paper.
Answer» 3360 1258 3850 3630 Answer :D

Discussion

4265.	If 1,omega,omega^2,omega^3,...,omega^(n-1) be the n,nth roots of unity,the value of (9-omega)(9-omega^2)...(9-omega^(n-1)) will be :
Answer» 0 `(9^(n-1))/8` `(8^(n-1))/3` none of these Answer :B

Discussion

4266.	Walking with 3/4 of his usual speed ,Sachin covers a certain distance in 2 h more than the time he takes to cover the distance at his usual speed. Find the time taken by him to cover this distance with usual speed.
Answer» 5H 6H 9H 4H Answer :B

Discussion

4267.	If a=1, b=sqrt3 and angleA=30^(@), find the value of the angle B:
Answer» `60^@` `30^@` `120^@` EITHER (a) or (C) Answer :D

Discussion

4268.	Recently when I visited a show room of shoes shopkeeper told me that he could reduce the price of Bata shoes by 49% and if I were to purchase woodland shoes he could reduce the price to 51% of the original price. If the marked price (i.e., printed price) of both the shoes was same, then which shoes was cheap to buy :
Answer» Woodland Bata Both can't say Answer :C

Discussion

4269.	Whatwas the day of the week on 2nd jan 2010 if it was Sunday on 1st jan 2006
Answer» SATURDAY THURSDAY SUNDAY FRIDAY ANSWER :A

Discussion

4270.	A retailer purchase 40 pens at the cost price of 36 pens from a wholesaler. If he sells all of them at a discount of 1%, then what is his profit percent?
Answer» ANSWER :`7(7)/(9)%`

Discussion

4271.	A person covers a distance of 300 km partly by train and partly by car. If he travels 60 km by train and rest by car it takes him 4 hours to cover that distance and if he covers 100 km by train and rest by car it takes him 4 hours 10 minutes to cover that distance. Find out the speed of train and car.
Answer» ANSWER : 60 km/h, 80 km/h

Discussion

4272.	A man sells two pipes at Rs. 12 each. He gains 20% on one and loses 20% on the other. find his gain or loss percent in the whole transaction
Answer» ANSWER :4% LOSS

Discussion

4273.	If (x+a) be a common factor of x^2 + px + q and x^2 + p'x +q', then the value of a is:
Answer» l+p m-q l-p/m-q m-q/l-p Answer :D

Discussion

4274.	Consider the following statements : For any two sets A and B (1)(A-B) uuB=A (2) (A-B)uu A=A (3) (A-B) nnB=phi (4) AsubeBrArrAuuB=B of these statements:
Answer» 1, 2, 3 are correct 2, 3, 4 are correct 1,3, 4 are correct 1,2,4 are correct Answer :B

Discussion

4275.	The total number of two digit numbers whose unit digit is either, same, double, triple or quadruple of the tens digit :
Answer» 13 9 18 90 Answer :C

Discussion

4276.	If the equation x^2 +2(a+1)x+9a−5=0 has only negative root, then
Answer» A. `a LE0` B. a` le-6` C. `a GE6` D. `a ge36` ANSWER :C

Discussion

4277.	Aman can run a distance in 190 seconds and Shakti can run the same distance in 200 seconds.if they start together by what distance can Aman beat Shakti in 1 km race?
Answer» 48 m 25 m 24 m 50 m Answer :D

Discussion

4278.	If alpha,beta are the roots of the equation 8x^2-3x+27=0, then the value of (alpha^2/beta)^(1/3)+(beta^2/alpha)^(1/3) is
Answer» `1//3` `1//4` `1//5` `1//6` ANSWER :B

Discussion

4279.	A watch which gains uniformly is 2 min slow at 10 am on Wednesday and is 2^(1/2) min fast at 1 pm the following day When was it correct?
Answer» 10:30 PM Wednesday 9 :15 pm Wednesday 10 :45 pm Wednesday 10 pm wednesday Answer :D

Discussion

4280.	An isoceles right triangl ABC has an incircle with centre O, which touches the sides AB, BC, and AC . Find radius of circle
Answer» `sqrt2-1` CM `sqrt2-1/2` cm `1-1/sqrt2` cm none of these Answer :A

Discussion

4281.	(1)/(20)+(1)/(30)+(1)/(42)+(1)/(56)+(1)/(72)+(1)/(90)+(1)/(110)+(1)/(132)=?
Answer» `(1)/(8)` `(1)/(7)` `(1)/(6)` `(1)/(10)` ANSWER :C

Discussion

4282.	x#y={{:(x+2y,if,\|x+y\|" is even"),(2x" @2 "y,if,\|x+y\|" is odd"):} x"@"y={{:(3x-y,if,\|x+y\|" is even"),(2x#2y" ,if",\|x+y\|" is odd"):} Find the value of 2#(7" @ "(4#5))" @" 3):
Answer» a. 204 B. 306 c. 408 d. 102 Answer :B

Discussion

4283.	One of the factors of 3x^3+x^2-12x-4 is
Answer» `3x-2` `3x-1` `3x+1` `3x+2` ANSWER :C

Discussion

4284.	3^(41)+7^(82)will be divisible by ?
Answer» 10 26 51 7 Answer :26

Discussion

4285.	If 1^3 = 1, 2^3 = 3 + 5, 3^3 = 7 + 9 + 11, 4^3 = 13 + 15 + 17 + 19, 5^3 = 21 + 23 + 25 + …. + 29, etc. Then the value of (100)^3 is equal to :
Answer» 9901+9903+…10099 9999+10001+10003+…+10199 9989+9991+…+10089 Any TWO of (a), (B), ( C) ANSWER :A

Discussion

4286.	A hemispherical basin 150 cm in diameter holdswater one hundred and twenty timesas much a cylindrical tube. Ifthe height of the tube is 15 cm , then the diameterof the tube ( in cm ) is :
Answer» 23 24 25 26 Answer :C

Discussion

4287.	ABC isan isoceles triangle with base BC=12 cm . There is a rectangle GHED inside thetriangle whose base is GH on side BC. HE=6cm, F is the midpoint of BC . If AF=24cm, then find area of rectangle.
Answer» ANSWER :54

Discussion

4288.	If 5x^3+5x^2-6x+9 is divided by (x+3) then the remainder is:
Answer» 0 `-32` 23 `-63` ANSWER :D

Discussion

4289.	What was the total number of candidates qualified in the written test for admission to institution A over all the years together?
Answer» 27000 26500 26000 27500 Answer :A

Discussion

4290.	If abs(x-2) lt 3 then :
Answer» `1 lt X lt 5` `-1 LTX lt 2` `-1 lt x lt 5` `0 lt x lt 6` Answer :C

Discussion

4291.	A sum of Rs. 10000 is borrowed at 8% p.a. compounded annually which is paid back in 3 equal annual installments . What is the amount of each installments ?
Answer» ANSWER :3880.335

Discussion

4292.	Three circular rings of equal radii of 1 cm each are touching each other . A string runs all around the set of rings very tightly . What is the minimum length of string required to bind all the three rings in the given manner ?
Answer» `(6)/(pi) cm ` `2(3+ pi) cm ` `(pi)/(6) cm ` can't be DETERMINED Answer :B

Discussion

4293.	cos^(2)""(pi)/(16)+cos^(2)""(3pi)/(16)+cos^(2)""(5pi)/(16)+cos^(2)""(7pi)/(16)=?
Answer» 0 1 2 3 Answer :C

Discussion

4294.	Solve the following expression : 7/3 - 9/2
Answer»

Discussion

4295.	A single discount equivalent to three successive discounts of 5%, 10%, 20% is:
Answer» `68.4%` `35%` `31.6%` `32%` ANSWER :C

Discussion

4296.	Solve the following equation for x and y log_(100)\|x+y\| = 1/2, log_(10)y - log_(10)\|x\| = log_(100) 4,
Answer» `(8/3, 16/3) (-8 , -16)` `(10/3, 20/3), (-10, 20)` `(-10/3, -20/3), (70,20)` NONE of these ANSWER :B

Discussion

4297.	ABCD is a trapezium of sides in which BC \|\| AB & AB=9cm, BC=12cm, CD=15cm & DA=20cm. Find the sum of square of its diagonal.
Answer» 638 786 838 814 Answer :D

Discussion

4298.	In the given diagram, equilateral triangle EDC surmounts square ABCD. Find the angleBED represented by x. Where angleEBC=alpha^(@):
Answer» `45^(@)` `60^(@)` `30^(@)` NONE of these Answer :A

Discussion

4299.	If (N)_(10) = (ab)_(n) and (3N)_(10) = (ba)_(n) , where 3 < n < 10, then the least possible value of n is :
Answer» 4 6 7 can't be DETERMINED ANSWER :C

Discussion

4300.	An alloy contains only zinc and copper. One such alloy weighing 15 gm contains zinc and copper in the ratio of 2 : 3 by weight. If 10 gm of zinc is added then find what amount of copper has to removed from the alloy such that the final alloy has zinc and copper in the ratio of 4 : 1 by weight.?
Answer» ANSWER :5 GM

Discussion

Explore topic-wise InterviewSolutions in .

If A is the setof all integral multiples of3 andB is the setof all integral multiples of 5, then A nn Bis the set all intergal multiples of :

What is difference between compound interest on 7 5000 for 2 yr at 4% per annum when the interest is compounded yearly and half-yearly?

4 men and 2 boys can finish a piece of work in 5 days. 3 women and 4 boys can finish the same work in 5 days. Also 2 men and 3 women can finish the same workin 5 days.. In how many days 1 man, 1 woman and one boy can finish the work, at their double efficiency?

A and C working together can finish certain piece of work in 12 days. A and B can finish same piece of work in 20 days. If A work for 24 days and B for 6 days then rest work done by C in 2 days. Then find in how many days A, B and C can finish same piece of work, working together?

If sintheta-costheta=(7)/(17) then sintheta+costheta=?

PDeltaQ = P + Q, If PQ lt 0 PDeltaQ = P - Q, If PQ gt 0 [(2Delta3) Delta (-2Delta3)] is equal to :

If (pqr)^2 = (ijk pqr), where i,j,k,p,q,r in W, are pqr and ijkpqr are three digits and 6 digits numbers respectively. Then the value of i xx jxx k xx p xx q xx ris :

1(3)/( 5) + 1( 8)/( 9) + 2 ( 4)/( 5) = ?

The value of log(ab)^(2) - log(ac) + log(bc^(4)) - 3 log (bc) is:

The number of zeros at the end of the product of : 2^3xx3^4xx4^5xx5^6 + 3^5xx5^7xx7^9xx8^(10) + 4^5xx5^6xx6^7xx7^8-10^2xx15^3xx20^4 is :

How many integer solutions are there to the equation x_1+x_2+x_3+x_4 = 30, such that 3 le x_1,x_2,x_3,x_4 le 10

A sum becomes Rs. 2916 in 2 years at 8% per annum compound interest. The simple interest at 9% per annum for 3 years on the same amount will be

The minimum value of the expression abs(17x-8)-9 is :

A question paper has two parts-Part A and Part B. Part A contains 5 questions and part B has 4. Each question in part has an alternative. A student has to attempt atleast one question from each part. Find the number of ways in which the student can attempt the question paper.

If 1,omega,omega^2,omega^3,...,omega^(n-1) be the n,nth roots of unity,the value of (9-omega)(9-omega^2)...(9-omega^(n-1)) will be :

Walking with 3/4 of his usual speed ,Sachin covers a certain distance in 2 h more than the time he takes to cover the distance at his usual speed. Find the time taken by him to cover this distance with usual speed.

If a=1, b=sqrt3 and angleA=30^(@), find the value of the angle B:

Whatwas the day of the week on 2nd jan 2010 if it was Sunday on 1st jan 2006

A retailer purchase 40 pens at the cost price of 36 pens from a wholesaler. If he sells all of them at a discount of 1%, then what is his profit percent?

A man sells two pipes at Rs. 12 each. He gains 20% on one and loses 20% on the other. find his gain or loss percent in the whole transaction

If (x+a) be a common factor of x^2 + px + q and x^2 + p'x +q', then the value of a is:

Consider the following statements : For any two sets A and B (1)(A-B) uuB=A (2) (A-B)uu A=A (3) (A-B) nnB=phi (4) AsubeBrArrAuuB=B of these statements:

The total number of two digit numbers whose unit digit is either, same, double, triple or quadruple of the tens digit :

If the equation x^2 +2(a+1)x+9a−5=0 has only negative root, then

Aman can run a distance in 190 seconds and Shakti can run the same distance in 200 seconds.if they start together by what distance can Aman beat Shakti in 1 km race?

If alpha,beta are the roots of the equation 8x^2-3x+27=0, then the value of (alpha^2/beta)^(1/3)+(beta^2/alpha)^(1/3) is

A watch which gains uniformly is 2 min slow at 10 am on Wednesday and is 2^(1/2) min fast at 1 pm the following day When was it correct?

An isoceles right triangl ABC has an incircle with centre O, which touches the sides AB, BC, and AC . Find radius of circle

(1)/(20)+(1)/(30)+(1)/(42)+(1)/(56)+(1)/(72)+(1)/(90)+(1)/(110)+(1)/(132)=?

x#y={{:(x+2y,if,|x+y|" is even"),(2x" @2 "y,if,|x+y|" is odd"):} x"@"y={{:(3x-y,if,|x+y|" is even"),(2x#2y" ,if",|x+y|" is odd"):} Find the value of 2#(7" @ "(4#5))" @" 3):

One of the factors of 3x^3+x^2-12x-4 is

3^(41)+7^(82)will be divisible by ?

If 1^3 = 1, 2^3 = 3 + 5, 3^3 = 7 + 9 + 11, 4^3 = 13 + 15 + 17 + 19, 5^3 = 21 + 23 + 25 + …. + 29, etc. Then the value of (100)^3 is equal to :

A hemispherical basin 150 cm in diameter holdswater one hundred and twenty timesas much a cylindrical tube. Ifthe height of the tube is 15 cm , then the diameterof the tube ( in cm ) is :

ABC isan isoceles triangle with base BC=12 cm . There is a rectangle GHED inside thetriangle whose base is GH on side BC. HE=6cm, F is the midpoint of BC . If AF=24cm, then find area of rectangle.

If 5x^3+5x^2-6x+9 is divided by (x+3) then the remainder is:

What was the total number of candidates qualified in the written test for admission to institution A over all the years together?

If abs(x-2) lt 3 then :

A sum of Rs. 10000 is borrowed at 8% p.a. compounded annually which is paid back in 3 equal annual installments . What is the amount of each installments ?

Three circular rings of equal radii of 1 cm each are touching each other . A string runs all around the set of rings very tightly . What is the minimum length of string required to bind all the three rings in the given manner ?

cos^(2)""(pi)/(16)+cos^(2)""(3pi)/(16)+cos^(2)""(5pi)/(16)+cos^(2)""(7pi)/(16)=?

Solve the following expression : 7/3 - 9/2

A single discount equivalent to three successive discounts of 5%, 10%, 20% is:

Solve the following equation for x and y log_(100)|x+y| = 1/2, log_(10)y - log_(10)|x| = log_(100) 4,

ABCD is a trapezium of sides in which BC || AB & AB=9cm, BC=12cm, CD=15cm & DA=20cm. Find the sum of square of its diagonal.

In the given diagram, equilateral triangle EDC surmounts square ABCD. Find the angleBED represented by x. Where angleEBC=alpha^(@):

If (N)_(10) = (ab)_(n) and (3N)_(10) = (ba)_(n) , where 3 < n < 10, then the least possible value of n is :

An alloy contains only zinc and copper. One such alloy weighing 15 gm contains zinc and copper in the ratio of 2 : 3 by weight. If 10 gm of zinc is added then find what amount of copper has to removed from the alloy such that the final alloy has zinc and copper in the ratio of 4 : 1 by weight.?