8677 + Interview Questions in Maths in Class 14 Page 100 InterviewSolution

4951.	A triangle with three equal sides has its area equal to 3sqrt(3) sq cm. Find its perimeter.
Answer» `6 sqrt(3)` `2 sqrt(3)` `5 sqrt(3)` `7 sqrt(3)` ANSWER :A

Discussion

4952.	Two trains of lengths 50 m and 65 m are moving in the same direction at 18 m/s and 17 m/s, respect- ively. Find the time taken by the faster train to cross the slower train.
Answer» a. 100s b. 114s c. 95s d. 115s Answer :D

Discussion

4953.	Due to the technical snag in the signal system two trains starts approaching each other on the same rail track from two different stations 240km away from each other . When the train starts a birds also starts moving to end fro between the two two trains at 60km/h touching each time each train. the bird is initially sitting on the top of the engine of one of the trains and it moves so till these trains collide If these trains collide one and a half hour after the starts then how many kilometers bird travells till the time of collision of trains?
Answer» 90 km 130 km 120 km none of these Answer :A

Discussion

4954.	Find the sum of 1 + 2 + 3 + …………… + 50 + 49 + ……… + 3 + 2 + 1
Answer» 2500 2550 2600 2450 Answer :a

Discussion

4955.	A person has to cover 360 km distance. If he increases his speed by 10 km/h he reaches 3 hours early. Find his initial speed.
Answer» ANSWER :30 km/h

Discussion

4956.	10 kg of rice costs as much as 20 kg of wheat, 25 kg of wheat costs as much as 2 kg of tea, 5 kg of tea costs as much as 25 kg of sugar. Find the cost of 6 kg of sugar if 4 kg of rice cost Rs 32.
Answer» ANSWER :RS. 60

Discussion

4957.	If m and n are integers then is n completely divisible by 10? A. The value of "("(m)/(10)+(n)/(10)")" is a integer value. B. The value of "("(m)/(7)+(n)/(10)")" is an integer value. C. value of n is greater than m.
Answer» Any TWO of them A and B together Any of them All statements are required Solution :From A `to m+n=10xxk` (let k is an INTEGER value) From `B to 10m+7n=70xx1` (Let L is an integer value) From `C tongtm` From A and B `({:(10m+10n,=,100k),(10m+7m,=,70l):})/({:(10n-7n,=,100k-70l),(3n,=,100k-70l):})` `3n=10(10k-71):` HENCE n is divisible by 10. Thus option A and B together are needed to solve the question.

Discussion

4958.	sqrt(x/(1-x))+sqrt((1-x)/x)= 13/6
Answer» `13/4,5` `4/13,9/13` `4/13,6` NONE ANSWER :B

Discussion

4959.	In the following figureAB=BC and AC=84 cm. The radiusof the inscribed circle is 14 cm. B is the centre of the largestsemi-circle. What is the area of the shaded region ?
Answer» `335 CM^(2) ` `770 cm^(2) ` `840 cm^(2) ` `650 cm^(2) ` ANSWER :B

Discussion

4960.	If f(x , y) = ((x + y)^2)/(xy) for every x, y > 0 then f(x,y) must be :
Answer» `GE 2` `lt 5` `ge 4` none of these Solution :f9x, y) = `(x^2+y^2+2xy)/(xy) = x/y + y/x +2` The minimum value of `x/y + y/x` = 2 at x = y Therefore f(x,y) = `((x+y)/xy)^2 ge 4`

Discussion

4961.	If the equation x^2-a_1x+b_1=0 and. x^2-a_2x+b_2=0, have one root in common and the second equation has equal roots, then which one of the following is a valid relation?
Answer» `2(b_1-b_2)=a_1a_2` `a_2(a_1+a_2)= b_1b_2` `2(a_1-a_2)=b_1b_2` `2(b_1+b_2)=a_1a_2` ANSWER :D

Discussion

4962.	Let A and B be independent events such that P(A)=0.6 and P(B)=0.7 find P(A nn overset-B).
Answer» 0.18 0.56 0.36 0.76 Answer :C

Discussion

4963.	Find the sum of factor of 50.
Answer» 92 93 97 91 Answer :B

Discussion

4964.	P and Q are the middle points of two chords (not diameters) AB and AC respectively of a circle with centre at a point O. The lines OP and OQ are produced to meet the circle respectively at the points R and S. T is any point on the major arc between the points R and S of the circle. If angle BAC = 32^(@), angle RTS = ?
Answer» `32^@` `74^@` `106^@` `64^@` ANSWER :B

Discussion

4965.	Distance between A and B is 60 kms. When they move in opposite direction they meet in 6 hours. If A moves at 2/3rd of its actual speed and B at 2 times of its speed then they meet in 5 hours what are their respective speed.
Answer» ANSWER :4 km/h, 6 km/h

Discussion

4966.	A number exceeds its one-fifth by 20.. The number is
Answer» 100 25 20 5 Answer :B

Discussion

4967.	If 5sqrt(5) xx 5^(3) /5^(-3/2) = 5^(a +2)then the value of a is
Answer» 4 5 9 16 Answer :A

Discussion

4968.	The remainder when (20)^(23) is divided by 17 is :
Answer» 11 3 6 can't be determined Answer :A

Discussion

4969.	A page contains 60 lines. A chapter contains 125 pages. A book contains 5 chapters. 20 such books form a bound. If there are total 30 lakh lines in an x number of bounds then the value of x is :
Answer» 4 2 5 6 Answer :A

Discussion

4970.	Ragini purchases oranges at ₹ 10 per dozen and sells them at ₹ 12 for every 10 oranges. What is the profit percentage?
Answer» 0.4 0.44 0.6 0.48 Answer :B

Discussion

4971.	How many words can be made from the word IMPORTANT in which both T do not come together?
Answer» 141120 112244 113113 888222 Answer :A

Discussion

4972.	If sinA+sin2A=xandcosA+cos2A=y, then (x^(2)+y^(2))(x^(2)+y^(2)-3)=?
Answer» 2y 3y 3y 4y Answer :A

Discussion

4973.	The set of values of x for which \|(x - 5)x\| > 0 is :
Answer» all REAL numbers `R-{0}` `R-{0,5}` R - (0,5) ANSWER :C

Discussion

4974.	The product of two successive numbers is 9506. Which is the smaller of the two numbers?
Answer» 96 97 98 99 Answer :A

Discussion

4975.	If the two roots of any quadratic equation are sqrt3 and sqrt3, how many suchequations are possible?
Answer» 0 1 2 infinite Answer :D

Discussion

4976.	Study the following Histogram and answer the following questions. The difference in the amount estimated by the family on interior decoration and architect's fees is
Answer» RS 10000 Rs 9500 Rs 7200 Rs 9600

Discussion

4977.	Simplify the following expressions : 32/8 xx 10/16 xx 24/5
Answer»

Discussion

4978.	Windows 8,- an operating system of Tablets and Mobile phones that can be accessed by the touch of a finger - is not just a revolutionary one in terms of technical advancement over its predecessors but also in terms of aesthetic value: user interface, look and feel. Windows 8 comes with a magnificent start screen. The start screen of any Windows 8 device appears as a grid of tiles. These square shaped tiles are identical in size and each tile represents a different icon, for mail, calendar, music, photo, video ,map, and other such features and applications. The grid is always rectangular and by default the border tiles, in the outermost rows and columns, are occupied by the static icons of Windows applications only. And the remaining tiles are, dynamic so that they can be replaced by the user with the icons of any third party application as per his/her choice. A grid has as many static tiles as dynamic tiles. The total number of tiles on the start screen would be:
Answer» 36 48 60 can't be determined Answer :D

Discussion

4979.	Windows 8,- an operating system of Tablets and Mobile phones that can be accessed by the touch of a finger - is not just a revolutionary one in terms of technical advancement over its predecessors but also in terms of aesthetic value: user interface, look and feel. Windows 8 comes with a magnificent start screen. The start screen of any Windows 8 device appears as a grid of tiles. These square shaped tiles are identical in size and each tile represents a different icon, for mail, calendar, music, photo, video ,map, and other such features and applications. The grid is always rectangular and by default the border tiles, in the outermost rows and columns, are occupied by the static icons of Windows applications only. And the remaining tiles are, dynamic so that they can be replaced by the user with the icons of any third party application as per his/her choice. A grid has as many static tiles as dynamic tiles. At most how many third party applications a Windows mobile user can have on his/her start screen?
Answer» (a) 10 % (B) 15 % (c) 20 % (d) 30 % ANSWER :D

Discussion

4980.	Windows 8,- an operating system of Tablets and Mobile phones that can be accessed by the touch of a finger - is not just a revolutionary one in terms of technical advancement over its predecessors but also in terms of aesthetic value: user interface, look and feel. Windows 8 comes with a magnificent start screen. The start screen of any Windows 8 device appears as a grid of tiles. These square shaped tiles are identical in size and each tile represents a different icon, for mail, calendar, music, photo, video ,map, and other such features and applications. The grid is always rectangular and by default the border tiles, in the outermost rows and columns, are occupied by the static icons of Windows applications only. And the remaining tiles are, dynamic so that they can be replaced by the user with the icons of any third party application as per his/her choice. A grid has as many static tiles as dynamic tiles. A tech savvy user Windows mobiles prefers the shape which the ratio of the length and the breadth of the screen is not too high, then the ratio of length and breadth of the grid of tiles on the start screen would be:
Answer» 2:3 3:2 4:3 5:3 Answer :C

Discussion

4981.	16 children are to be divided into two groups A and B consisting of 10 and 6 children. The average percent marks obtained by the children of Group A is 75 and the average percent marks of all the 16 children is 76. What is the average percent marks ofchildren of Group B ?
Answer» ANSWER :`77 (2)/(3) %`

Discussion

4982.	A, B, C are three point on a circle. The tangent at A meets BC produced at T,angleBTA=40^(@),angleCAT=44^(@) . The angle subtended by BC at the centre ofthe circle is -
Answer» `84^(@)` `92^(@)` `96^(@)` `104^(@)` ANSWER :D

Discussion

4983.	Find the value of sqrt(6+sqrt(6+sqrt(6+...oo)))
Answer» 2 3 4 5 Answer :B

Discussion

4984.	If cosA=mcosB, then
Answer» `COT""(A+B)/(2)=(m+1)/(m-1)TAN""(B-A)/(2)` `tan""(A+B)/(2)=(m+1)/(m-1)cot""(B-A)/(2)` `cot""(A+B)/(2)=(m+1)/(m-1)tan""(A-B)/(2)` `cot""(A+B)/(2)=(m-1)/(m+1)tan""(A-B)/(2)` ANSWER :A::B

Discussion

4985.	Two trains Ajanta express and Barouni express simultaneously started on two parallet tracks from Meerut to Nagpur, which are 390 km apart. The ratio of the speed of Ajanta express and Barouni express is 6 : 7. After how long (in kms) travelling, Barouni express exchanges the speed with Ajanta express so that both the trains reach at their destination simultaneously :
Answer» 150 km 190 km 210 km can't be determined Answer :C

Discussion

4986.	Two types of sugar of rate Rs. 5.60/kg and Rs. 6.40/kg. What quantity of second type of sugar should bemixed with 20 kg of first type of sugar to get a mixtureof rate Rs. 6.20/kg.
Answer» ANSWER :60 KG

Discussion

4987.	8^6 - 5^6 is individually divisible by :
Answer» 91 49 129 all of these Answer :D

Discussion

4988.	A man has some hens and cows. If the number of heads: number of feet = 12:35, find out the number of hens, if the number of heads alone is 48.
Answer» 28 26 24 22 Answer :B

Discussion

4989.	If no production of product 2 is scheduled today and it is decided to only produce one type of product today, then what is the maximum profits that can be had today?
Answer» ₹ 480 ₹ 750 ₹ 600 none of these Answer :C

Discussion

4990.	If a, b, c are all positive integers, then the minimum value of the expression ((a+b+c)(b^(2)+b+1)(c^(2)+c+1))/(abc) is :
Answer» 3 9 27 1 Answer :C

Discussion

4991.	5,7,18,47,103,?
Answer» 195 210 200 190 Solution :The PATTERN is `103+92=195`

Discussion

4992.	ABCDE is a pentagon. Ratio of sidesAB : BC : CD : DE : EAis sqrt(2) : 1 : 2 : 1: sqrt(2) . If angle A = 90^(@) find its area if longer side is 6
Answer» ANSWER :`27CM ^(2)`

Discussion

4993.	If one roots of the equation (x^(2))/(a) + (x)/(b) + (1)/(c ) = 0 is reciprocal of the other, then which one of the following is correct?
Answer» a=b b=c ac=1 a=c Answer :D

Discussion

4994.	A, B, C and D purchase a gift worth Rs 60. A pays 1/2 of what others are paying, B pays 1/3rd of what others are paying and C pays1/4th of what others are paying. What is the amount paid by D ?
Answer» 16 13 14 15 Answer :B

Discussion

4995.	Find the unit digit of the product of all the elements of the set which consists all the prime numbers greater than 2 but less than 222.
Answer» Solution :The set of required prime NUMBERS ={3,5,7,11,...} Since there is no any even NUMBER in the set so when 5 is multiplied with any odd number, it always gives 5 as the last digit HENCE the UNIT digit will be 5.

Discussion

4996.	How many numbers greater than a million can be formed with the digits 5, 5, 2, 2, 1, 7, 0?
Answer» 980 1080 920 1200 Answer :B

Discussion

4997.	225p^2-1740p+2835=0 225q^2+690q-2835=0
Answer» `pltq` `pgtq` `pleqq` `pgeqq` ANSWER :D

Discussion

4998.	A labourer works for 60 hours a week. and gets Rs. 2400 as wages. If his 1 hour wages are increased by 40%and his working hours are reduced by16 (2)/(3)% ,then by how much will hiswages increase or decrease?
Answer» ANSWER :`16(2)/(3)%`

Discussion

4999.	Half way through the journey from Delhi to Lahore Atalji began to look out of the window of the Samjhauta Express and continued it unit the distance which was remained to cover was half of what he has covered. Now at this time how much distance he has to cover?
Answer» `2/2` `1/4` `1/3` `1/6` ANSWER :C

Discussion

5000.	Three workers A, B and C working together completed a job in 10 days. However, C only worked for the first three days when 37% of the job was done. Also, the work done by A in 5 days is equal to the work done by B in 4 days. How many days would be required by the worker C to complete the entire work?
Answer» 20 days 25 days 30 days 40 days Answer :C

Discussion

Explore topic-wise InterviewSolutions in .

A triangle with three equal sides has its area equal to 3sqrt(3) sq cm. Find its perimeter.

Two trains of lengths 50 m and 65 m are moving in the same direction at 18 m/s and 17 m/s, respect- ively. Find the time taken by the faster train to cross the slower train.

Find the sum of 1 + 2 + 3 + …………… + 50 + 49 + ……… + 3 + 2 + 1

A person has to cover 360 km distance. If he increases his speed by 10 km/h he reaches 3 hours early. Find his initial speed.

10 kg of rice costs as much as 20 kg of wheat, 25 kg of wheat costs as much as 2 kg of tea, 5 kg of tea costs as much as 25 kg of sugar. Find the cost of 6 kg of sugar if 4 kg of rice cost Rs 32.

If m and n are integers then is n completely divisible by 10? A. The value of "("(m)/(10)+(n)/(10)")" is a integer value. B. The value of "("(m)/(7)+(n)/(10)")" is an integer value. C. value of n is greater than m.

sqrt(x/(1-x))+sqrt((1-x)/x)= 13/6

In the following figureAB=BC and AC=84 cm. The radiusof the inscribed circle is 14 cm. B is the centre of the largestsemi-circle. What is the area of the shaded region ?

If f(x , y) = ((x + y)^2)/(xy) for every x, y > 0 then f(x,y) must be :

If the equation x^2-a_1x+b_1=0 and. x^2-a_2x+b_2=0, have one root in common and the second equation has equal roots, then which one of the following is a valid relation?

Let A and B be independent events such that P(A)=0.6 and P(B)=0.7 find P(A nn overset-B).

Find the sum of factor of 50.

Distance between A and B is 60 kms. When they move in opposite direction they meet in 6 hours. If A moves at 2/3rd of its actual speed and B at 2 times of its speed then they meet in 5 hours what are their respective speed.

A number exceeds its one-fifth by 20.. The number is

If 5sqrt(5) xx 5^(3) /5^(-3/2) = 5^(a +2)then the value of a is

The remainder when (20)^(23) is divided by 17 is :

A page contains 60 lines. A chapter contains 125 pages. A book contains 5 chapters. 20 such books form a bound. If there are total 30 lakh lines in an x number of bounds then the value of x is :

Ragini purchases oranges at ₹ 10 per dozen and sells them at ₹ 12 for every 10 oranges. What is the profit percentage?

How many words can be made from the word IMPORTANT in which both T do not come together?

If sinA+sin2A=xandcosA+cos2A=y, then (x^(2)+y^(2))(x^(2)+y^(2)-3)=?

The set of values of x for which |(x - 5)x| > 0 is :

The product of two successive numbers is 9506. Which is the smaller of the two numbers?

If the two roots of any quadratic equation are sqrt3 and sqrt3, how many suchequations are possible?

Study the following Histogram and answer the following questions. The difference in the amount estimated by the family on interior decoration and architect's fees is

Simplify the following expressions : 32/8 xx 10/16 xx 24/5

16 children are to be divided into two groups A and B consisting of 10 and 6 children. The average percent marks obtained by the children of Group A is 75 and the average percent marks of all the 16 children is 76. What is the average percent marks ofchildren of Group B ?

A, B, C are three point on a circle. The tangent at A meets BC produced at T,angleBTA=40^(@),angleCAT=44^(@) . The angle subtended by BC at the centre ofthe circle is -

Find the value of sqrt(6+sqrt(6+sqrt(6+...oo)))

If cosA=mcosB, then

Two types of sugar of rate Rs. 5.60/kg and Rs. 6.40/kg. What quantity of second type of sugar should bemixed with 20 kg of first type of sugar to get a mixtureof rate Rs. 6.20/kg.

8^6 - 5^6 is individually divisible by :

A man has some hens and cows. If the number of heads: number of feet = 12:35, find out the number of hens, if the number of heads alone is 48.

If no production of product 2 is scheduled today and it is decided to only produce one type of product today, then what is the maximum profits that can be had today?

If a, b, c are all positive integers, then the minimum value of the expression ((a+b+c)(b^(2)+b+1)(c^(2)+c+1))/(abc) is :

5,7,18,47,103,?

ABCDE is a pentagon. Ratio of sidesAB : BC : CD : DE : EAis sqrt(2) : 1 : 2 : 1: sqrt(2) . If angle A = 90^(@) find its area if longer side is 6

If one roots of the equation (x^(2))/(a) + (x)/(b) + (1)/(c ) = 0 is reciprocal of the other, then which one of the following is correct?

A, B, C and D purchase a gift worth Rs 60. A pays 1/2 of what others are paying, B pays 1/3rd of what others are paying and C pays1/4th of what others are paying. What is the amount paid by D ?

Find the unit digit of the product of all the elements of the set which consists all the prime numbers greater than 2 but less than 222.

How many numbers greater than a million can be formed with the digits 5, 5, 2, 2, 1, 7, 0?

225p^2-1740p+2835=0 225q^2+690q-2835=0

A labourer works for 60 hours a week. and gets Rs. 2400 as wages. If his 1 hour wages are increased by 40%and his working hours are reduced by16 (2)/(3)% ,then by how much will hiswages increase or decrease?

Half way through the journey from Delhi to Lahore Atalji began to look out of the window of the Samjhauta Express and continued it unit the distance which was remained to cover was half of what he has covered. Now at this time how much distance he has to cover?