8677 + Interview Questions in Maths in Class 14 Page 30 InterviewSolution

1451.	Three boysstep off together from the same spot. Their steps measure 63 cm, 70 cm and 77cm respectively. What is the minimum distance each should cover so that allcan cover the distance in complete steps?
Answer» 9630 CM 9360 cm 6930 cm 6950 cm ANSWER :B

Discussion

1452.	If nobjects arearrange in a row, then the number of ways of selecting three of these objectsso that no two of them are next to each other isa. ^n-2C_3b. ^n-3C_2 c.^n-3C_3d. none of these
Answer» `^nC_3` `^(n-2)C_3` `^nC_2` NONE of these Answer :B

Discussion

1453.	If two supplementary angles are in the ratio 13:5 find the greater angle :
Answer» `130^@` `65^@` `230^@` `28^@` ANSWER :A

Discussion

1454.	If alpha,betaare the roots of x^2+px+q=0 and alpha^n,beta^n are the roots of x^(2n)+p^nx^n+q^n=0, and if (alpha/beta),(beta/alpha) are the roots of x^n+1+(x+1)^n=0. Then n is
Answer» an integer an ODD integer an EVEN integer an IRRATIONAL number Answer :C

Discussion

1455.	A, B and C working together can finish a certain piece of work in 40 days. They work for 25 days and then B left and rest work done by A and C in 20 days. If efficiency of C is half of B's efficiency. Then in how many days A will finish the working alone?
Answer» ANSWER :64 DAYS

Discussion

1456.	Express the following in the lowest terms.sqrt[((x^2+3x+2)(x^2+5x+6))/(x^2(x^2+4x+3))]:
Answer» `(X+2)/2` `(x+2)/x` `(x-2)/x` `(x+4)/(x+3)` ANSWER :B

Discussion

1457.	A plane left 40 minutes late due to bad weather and in order to reach its destination, 1600 km away in time, if had to increase its speed by 400 km/h from its usual speed. Find the usual speed of the plane :
Answer» `600km//h` `750km//h `800km//h` NONE of these Answer :C

Discussion

1458.	If (sin theta + cos theta)/(sin theta - cos theta) = (5)/(4) , the value of (tan^(2) theta + 1)/(tan^(2) theta - 1)is
Answer» `(25)/(16)` `(41)/(40)` `(9)/(41)` `(40)/(41)` Answer :B

Discussion

1459.	Akram Miya has two types of grapes. One is the fresh grapes containing 80% water and dry grapes containing 25% water. He sells 20 kg dry grapes, by adding water to the dry grapes, at cost price. What is the total profit percentage when after adding water the weight of 20 kg dry grapes increased in the proportion of water in fresh
Answer» 2.75 2 0.8 1.25 Answer :A

Discussion

1460.	What percent is :800 litres of 40 litres?
Answer» A) 100% B) 150% C) 180% D) 2000% Solution :`66.66%`

Discussion

1461.	DeltaABC and DeltaDEF are two similar triangle and the primeters of DeltaABC and DeltaDEFare 30 cm and 18 cm respectively . If the length of DE = 36 cm , then length of AB is
Answer» 60 cm 40 cm 45 cm 50 cm ANSWER :A

Discussion

1462.	Three friends Babu, Sona and Janu after watching a movie want to order some meal, so they go straight to the food court of the Phoenix mall. babu says if we order p number of pizzas it would be sufficient for three of us, Sona says if we order b number of burgers it would be sufficient for three of us and Janu says if we order s number of sanwiches it would be sufficient for three of us. The restaurant manager, who is listening to their conversation, says, Guys you all are right, as whatever you go with, in each case you would have the same amount of meal.But can have a combo pizza, burger and sandwich, and this combo would still give you the same amount of meal that you get when you order only one sort of dish and morever you can save some bucks for the next movie ticket. All of them unaimously agree to his suggestion and order a combo meal. If the number of burgers is more that that of pizzas, but less than that of sandwiches, what is the total number of pizzas, burgers and sandwiches in the combo?
Answer» A.9 B.11 C.14 D.data insufficient Answer :B

Discussion

1463.	Minimum value of x^2+ 1/(x^2+1) -3 is
Answer» ANSWER :`-2`

Discussion

1464.	What are the essential conditions to get assured that a randomly chosen particufar point k, lies between the roots of the quadratic equation ax^2+bx+c=0? Dgt0 Dle0 a f(k)lt0 a f(k)gt0 kgt-b/2a klt-b/2a
Answer» (i), (III) and (v) only (i) and (iv) only (i) and (iii) only (ii), (iv) and (VI) only Answer :C

Discussion

1465.	If a Quardlateral is circumscribed of a circle and angle AOBis135^(@) findangle COD . Ois the centre of circle
Answer» ANSWER :`45^(@)`

Discussion

1466.	Multiply 328 by 9.
Answer»

Discussion

1467.	Two numbers are in the ratio 3:5. If 9 be subtracted from each, then they are in the ratio of 12:23. The second number is :
Answer» 53 54 55 52 Answer :A

Discussion

1468.	Froma wellshuffledpack of52cards threecardsaredrawnatrandom . Findthe probability ofdrawingan acea kingand ajaack .
Answer» `16/5525 `16/625` `16/3125` NONE of these Answer :A

Discussion

1469.	The speed of a car during the second hour of its journey is thrice that in the first hour. Also its third hours speed is the average speed of the first two hours. Had the car travelled at the second hours speed during all the first three hours then it would have travelled 150 km more. find the percentage reduction in time in the second case for the first three hours :
Answer» `33(1)/3%` `40%` `25%` `50%` ANSWER :A

Discussion

1470.	How many numbers between 400 and 1000 can be made with the digits 2,3, 4, 5, 6 and 0? (Repetition of digits is not allowed.)
Answer» ANSWER :60

Discussion

1471.	The point of intersection of the angle bisectors of a triangle is :
Answer» orthocentre centroid incentre circumcenter Answer :C

Discussion

1472.	It is required to construct a big rectangularhall that can accommodate 400 people with25 m^(3) space for each person . The height of the wall has been fixed at 10 m and the total inner surfacearea of the walls must be 1300 m^(2) . What is the length and breadth of the hall ( in metres ) ?
Answer» `30,20` `45,20` `40,25` `35,30` ANSWER :C

Discussion

1473.	If the randomly chosen point /dies between the roots of the equationax^2+bx+c=0, then which of the following is correct ?
Answer» `AF(K)gt0` `af(k)GE0` `af(k)lt0` all of these Answer :C

Discussion

1474.	A person bought some article at rate of 11 for Rs 10 and bought same number of articles at the rate of 9 for Rs 10. And sold all the stock at the rate of 1 for Rs 1. Find the profit or loss% ?
Answer» ANSWER :1% LOSS

Discussion

1475.	In a 1000 metres race Ravi gives Vinod a start of 40 m and beats him by 19 seconds. If Ravi gives a start of 30 seconds then Vinod beats Ravi by 40 m. What is the ratio of speed of Ravi to that of Vinod?
Answer» `4:5` `6:5` `3:8` `5:4` ANSWER :B

Discussion

1476.	2/5of the voters promise to vote for Mulayam Singh and rest promise to vote Mayawati. On election day 15% of the voters went back on their promise to vote for Mulayam Singh & 25% of thevoters went back on their promise to vote for Mayawati. Mayawati won by 1500 votes. Find the total number of voters.
Answer» ANSWER :75000

Discussion

1477.	A box contains 5 defective and 15 non -defective bulbs . , findthe probabilitythatatleast3 bulbs aredefectivewhen4bulbsare selected atrandom .
Answer» `31/969` `7/20` `1/20` NONE of these Answer :A

Discussion

1478.	Ifthe driving wheel of a bicyclemakes 560 revolutionsin travelling 1.1 km. Find the diameter of the wheel :
Answer» 31.5 cm 30.5 cm 62.2 cm none of these Answer :C

Discussion

1479.	Determine k such that the quadratic equation x^(2)+7(3+2k)-2x(1+3k)=0 has equal roots :
Answer» 2,7 7,5 `2,(-10)/9` none of these Answer :C

Discussion

1480.	The ratio between the rates of travelling of A and B is 2:3 and therefore A takes 20 min more than time taken by B to reach a destination. If A had walked at double the speed, how long would he have taken to cover the distance?
Answer» a. 30 min B. 35 min c. 20 min d. 45 min Answer :A

Discussion

1481.	(1-1/3)(1-1/4)(1-1/5)…(1-1/n) equals:
Answer» `1/n` `2/n` `3/n` `4/n` ANSWER :B

Discussion

1482.	A starts some business with Rs. 50,000. After 3 months B joins him with Rs. 70,000. At the end of the year, in what ratio should they share the profits?
Answer» SOLUTION :Ratio of AMOUNT of A and B =50000: 70000 Ratio of times periods for A and B =12:9 `therefore Ratio of their money-time capital` investments `=50000xx12:70000xx9=20:21`

Discussion

1483.	Several ltof acid were drawn off a 54 ltvessel full of acid and an equal amount of water was added. Again the same volume of the mixture was drawn off and replaced by water. As a result , the vessel contained 24 ltof pure acid. How much of the acid was drawn off initially?
Answer» 12 L 16 L 18 L 24 L Answer :18 LT

Discussion

1484.	Find HCF of 10x^(3)-10x^(2)-5x + 9 " &" 30x^(3)-61x^(2)-24x + 10
Answer» `31X^(2) + 29x + 17` `31x^(2) + 9X + 17` `31x^(2) -9x - 27` `30x^(2)-11X + 11`

Discussion

1485.	The probability that A can solve a problem is 2/3 and the probability that B can solve the same problem is 3/5 . Find the probability that atleast one of A and B will be able to solve the problem.
Answer» `12/15` `13/15` `19/45` NONE of these Answer :B

Discussion

1486.	A jogger is running at a speed of 15 km/hr. In what time he will cross a track of length 400 meters?
Answer» 110 sec 104 sec 100 sec 96 sec Answer :B

Discussion

1487.	If 8-[7-{x-(4-7/2)}] = 5, then the value of x is:
Answer» 5 4.5 3.2 2.5 Answer :B

Discussion

1488.	If sinA, cosA and tanA are in G.P., then cos^(3)A+cos^(2)A=?
Answer» 1 2 3 4 Answer :A

Discussion

1489.	If one root of the quadratic equationx^2−2x−3=0 is-1 the other root is
Answer» `-3` `3` `-5` `-7` ANSWER :C

Discussion

1490.	4 boys and 5 girls can do a piece of work in 10 days. 6 boys and 6 girls can do the same work in 7 days In how many days can 2 boys and 7 girls complete the same work, working together?
Answer» 15 days 14 days 21 days 18 days Answer :B

Discussion

1491.	In a figure AE = BC and AE\|\|BC and length of AB, CD and ED are same then if angleA=102^(@), angleBCD = ?
Answer» `138^(@)` `162^(@)` `88^(@)` NONE of these Answer :B

Discussion

1492.	40 men build a well 20 m high in 15 days. The number of men required to build a similar wall 25 m high in 6 days will be:
Answer» 100 125 150 200 Answer :B

Discussion

1493.	threefaircoinsare tossedsimultaneously. Findthe propability of getting atleastone headand onetail .
Answer» `2/8` `1/2` `3/10` `3/4` ANSWER :D

Discussion

1494.	An open box is made of wood 2 cm thick. Its internal lengthis 86 cm , breadth 46 cm and height is 38 cm. The cost of painting the outer surface of the box at Rs. 10 per m^(2) is :
Answer» `RS 18.5` `rs 8.65` `rs 11.65` `rs 17.50` ANSWER :C

Discussion

1495.	15(7)/(8) xx 23(1)/(5) + 3(4)/(5) xx 5(1)/(8) = ?
Answer» ANSWER :D

Discussion

1496.	A can do a piece of work in 5 days, B can do it in 10 days. With the help of C, they finish the work in 2 days. In how many days C alone can do the whole work?
Answer» 3 4 5 6 Answer :C

Discussion

1497.	A can do work in 18 days. he work at it for 12 daysand B finished the remaining work in 8 days. Balon can finish the work in
Answer» 16 days 24 days 35 days 28 days Answer :B

Discussion

1498.	The average age of A and B, 2 years ago was 26. If the age of A, 5 years hence is 40 yrs, and B is 5 years younger to C, then find the difference between the age of A and C?
Answer» A.11 yrs B. 9 yrs C.7 yrs D. 13 yrs Answer :NONE of these

Discussion

1499.	2m people are arranged along two sides of a long table with m chairs each side. r men wish to sit on one particular side and s on the other. In how many ways can they be seated ?(r,s le m)
Answer» `"^(48)C_r` 68M `((2m+R)!)/(r!s!)` NONE of these Answer :D

Discussion

1500.	16 liters of kerosene is mixed with 5 litre of petrol. The price of kerosene is rs 12 per litre and the price of petrol is rs 33 per litre. The average price of the mixture per litre is :
Answer» 15 17 23 27 Answer :B

Discussion

Explore topic-wise InterviewSolutions in .

Three boysstep off together from the same spot. Their steps measure 63 cm, 70 cm and 77cm respectively. What is the minimum distance each should cover so that allcan cover the distance in complete steps?

If nobjects arearrange in a row, then the number of ways of selecting three of these objectsso that no two of them are next to each other isa. ^n-2C_3b. ^n-3C_2 c.^n-3C_3d. none of these

If two supplementary angles are in the ratio 13:5 find the greater angle :

If alpha,betaare the roots of x^2+px+q=0 and alpha^n,beta^n are the roots of x^(2n)+p^nx^n+q^n=0, and if (alpha/beta),(beta/alpha) are the roots of x^n+1+(x+1)^n=0. Then n is

A, B and C working together can finish a certain piece of work in 40 days. They work for 25 days and then B left and rest work done by A and C in 20 days. If efficiency of C is half of B's efficiency. Then in how many days A will finish the working alone?

Express the following in the lowest terms.sqrt[((x^2+3x+2)(x^2+5x+6))/(x^2(x^2+4x+3))]:

A plane left 40 minutes late due to bad weather and in order to reach its destination, 1600 km away in time, if had to increase its speed by 400 km/h from its usual speed. Find the usual speed of the plane :

If (sin theta + cos theta)/(sin theta - cos theta) = (5)/(4) , the value of (tan^(2) theta + 1)/(tan^(2) theta - 1)is

What percent is :800 litres of 40 litres?

DeltaABC and DeltaDEF are two similar triangle and the primeters of DeltaABC and DeltaDEFare 30 cm and 18 cm respectively . If the length of DE = 36 cm , then length of AB is

Minimum value of x^2+ 1/(x^2+1) -3 is

What are the essential conditions to get assured that a randomly chosen particufar point k, lies between the roots of the quadratic equation ax^2+bx+c=0? Dgt0 Dle0 a f(k)lt0 a f(k)gt0 kgt-b/2a klt-b/2a

If a Quardlateral is circumscribed of a circle and angle AOBis135^(@) findangle COD . Ois the centre of circle

Multiply 328 by 9.

Two numbers are in the ratio 3:5. If 9 be subtracted from each, then they are in the ratio of 12:23. The second number is :

Froma wellshuffledpack of52cards threecardsaredrawnatrandom . Findthe probability ofdrawingan acea kingand ajaack .

How many numbers between 400 and 1000 can be made with the digits 2,3, 4, 5, 6 and 0? (Repetition of digits is not allowed.)

The point of intersection of the angle bisectors of a triangle is :

It is required to construct a big rectangularhall that can accommodate 400 people with25 m^(3) space for each person . The height of the wall has been fixed at 10 m and the total inner surfacearea of the walls must be 1300 m^(2) . What is the length and breadth of the hall ( in metres ) ?

If the randomly chosen point /dies between the roots of the equationax^2+bx+c=0, then which of the following is correct ?

A person bought some article at rate of 11 for Rs 10 and bought same number of articles at the rate of 9 for Rs 10. And sold all the stock at the rate of 1 for Rs 1. Find the profit or loss% ?

In a 1000 metres race Ravi gives Vinod a start of 40 m and beats him by 19 seconds. If Ravi gives a start of 30 seconds then Vinod beats Ravi by 40 m. What is the ratio of speed of Ravi to that of Vinod?

A box contains 5 defective and 15 non -defective bulbs . , findthe probabilitythatatleast3 bulbs aredefectivewhen4bulbsare selected atrandom .

Ifthe driving wheel of a bicyclemakes 560 revolutionsin travelling 1.1 km. Find the diameter of the wheel :

Determine k such that the quadratic equation x^(2)+7(3+2k)-2x(1+3k)=0 has equal roots :

The ratio between the rates of travelling of A and B is 2:3 and therefore A takes 20 min more than time taken by B to reach a destination. If A had walked at double the speed, how long would he have taken to cover the distance?

(1-1/3)(1-1/4)(1-1/5)…(1-1/n) equals:

A starts some business with Rs. 50,000. After 3 months B joins him with Rs. 70,000. At the end of the year, in what ratio should they share the profits?

Several ltof acid were drawn off a 54 ltvessel full of acid and an equal amount of water was added. Again the same volume of the mixture was drawn off and replaced by water. As a result , the vessel contained 24 ltof pure acid. How much of the acid was drawn off initially?

Find HCF of 10x^(3)-10x^(2)-5x + 9 " &" 30x^(3)-61x^(2)-24x + 10

The probability that A can solve a problem is 2/3 and the probability that B can solve the same problem is 3/5 . Find the probability that atleast one of A and B will be able to solve the problem.

A jogger is running at a speed of 15 km/hr. In what time he will cross a track of length 400 meters?

If 8-[7-{x-(4-7/2)}] = 5, then the value of x is:

If sinA, cosA and tanA are in G.P., then cos^(3)A+cos^(2)A=?

If one root of the quadratic equationx^2−2x−3=0 is-1 the other root is

4 boys and 5 girls can do a piece of work in 10 days. 6 boys and 6 girls can do the same work in 7 days In how many days can 2 boys and 7 girls complete the same work, working together?

In a figure AE = BC and AE||BC and length of AB, CD and ED are same then if angleA=102^(@), angleBCD = ?

40 men build a well 20 m high in 15 days. The number of men required to build a similar wall 25 m high in 6 days will be:

threefaircoinsare tossedsimultaneously. Findthe propability of getting atleastone headand onetail .

An open box is made of wood 2 cm thick. Its internal lengthis 86 cm , breadth 46 cm and height is 38 cm. The cost of painting the outer surface of the box at Rs. 10 per m^(2) is :

15(7)/(8) xx 23(1)/(5) + 3(4)/(5) xx 5(1)/(8) = ?

A can do a piece of work in 5 days, B can do it in 10 days. With the help of C, they finish the work in 2 days. In how many days C alone can do the whole work?

A can do work in 18 days. he work at it for 12 daysand B finished the remaining work in 8 days. Balon can finish the work in

The average age of A and B, 2 years ago was 26. If the age of A, 5 years hence is 40 yrs, and B is 5 years younger to C, then find the difference between the age of A and C?

2m people are arranged along two sides of a long table with m chairs each side. r men wish to sit on one particular side and s on the other. In how many ways can they be seated ?(r,s le m)

16 liters of kerosene is mixed with 5 litre of petrol. The price of kerosene is rs 12 per litre and the price of petrol is rs 33 per litre. The average price of the mixture per litre is :