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Maths Questions

A person is to count 4500 currency notes. Let an denote the number of notes he counts in the nth minute.If a1 =a2 =...=a10 =150 and a10, a11,....arein an A.P. with common difference –2, then the time taken by him to count all notes is

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A person is to count 4500 currency notes. Let an denote the number of notes he counts in the nth minute.If a1 =a2 =...=a10 =150 and a10, a11,....arein an A.P. with common difference –2, then the time taken by him to count all notes is

Anonymous User tag : Maths Sequences and Series 31 Mar, 2020 1 Answer 52 views

A man saves ` 200 in each of the first three months of his service. In each of the subsequent months his saving increases by ` 40 more than the saving of immediately previous month. His total saving from the start of service will be ` 11040 after

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A man saves ` 200 in each of the first three months of his service. In each of the subsequent months his saving increases by ` 40 more than the saving of immediately previous month. His total saving from the start of service will be ` 11040 after

Anonymous User tag : Maths Sequences and Series 31 Mar, 2020 1 Answer 52 views

From 6 different novels and3 different dictionaries, 4 novels and 1 dictionary are to be selected and arranged in a row on a shelf so that the dictionary is always in the middle. Then the number of such arrangements is

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From 6 different novels and3 different dictionaries, 4 novels and 1 dictionary are to be selected and arranged in a row on a shelf so that the dictionary is always in the middle. Then the number of such arrangements is

Anonymous User tag : Maths Permutation & Combination 30 Mar, 2020 1 Answer 54 views

There are two urns. Urn A has 3 distinct red balls and urn B has 9 distinct blue balls. From each urn two balls are taken out at random and then transferred to the other. The number of ways in which this can be done is

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There are two urns. Urn A has 3 distinct red balls and urn B has 9 distinct blue balls. From each urn two balls are taken out at random and then transferred to the other. The number of ways in which this can be done is

Anonymous User tag : Maths Permutation & Combination 30 Mar, 2020 1 Answer 51 views

A person is to count 4500 currency notes. Let an denote the number of notes he counts in the nth minute.If a1 =a2 =...=a10 =150 and a10, a11,....arein an A.P. with common difference –2, then the time taken by him to count all notes is

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A person is to count 4500 currency notes. Let an denote the number of notes he counts in the nth minute.If a1 =a2 =...=a10 =150 and a10, a11,....arein an A.P. with common difference –2, then the time taken by him to count all notes is

Anonymous User tag : Maths Sequences and Series 30 Mar, 2020 1 Answer 51 views

A person standing on the bank of a river observes that the angle of elevation of the top of a tree on the opposite bank of the river is 60o and when he retires 40 meters away from the tree the angle of elevation becomes 30o. The breadth of the river is

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A person standing on the bank of a river observes that the angle of elevation of the top of a tree on the opposite bank of the river is 60o and when he retires 40 meters away from the tree the angle of elevation becomes 30o. The breadth of the river is

Anonymous User tag : Maths Trigonometry 30 Mar, 2020 1 Answer 52 views

At an election, a voter may vote for any number of candidates, not greater than the number to be elected. There are 10 candidates and 4 are to be elected. If a voter votes for at least one candidate, then the number of ways in which he can vote is

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At an election, a voter may vote for any number of candidates, not greater than the number to be elected. There are 10 candidates and 4 are to be elected. If a voter votes for at least one candidate, then the number of ways in which he can vote is

Anonymous User tag : Maths Permutation & Combination 28 Mar, 2020 1 Answer 52 views

If a young man rides his motorcycle at 25 km/hour, he had to spend Rs. 2 per km on petrol. If he rides at a faster speed of 40 km/hour, the petrol cost increases at Rs. 5 per km. He has Rs. 100 to spend on petrol and wishes to find what is the maximum distance , he can travel within one hour. Express this as an LPP and solve it graphically

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If a young man rides his motorcycle at 25 km/hour, he had to spend Rs. 2 per km on petrol. If he rides at a faster speed of 40 km/hour, the petrol cost increases at Rs. 5 per km. He has Rs. 100 to spend on petrol and wishes to find what is the maximum distance , he can travel within one hour. Express this as an LPP and solve it graphically

Anonymous User tag : Maths Linear Programming 28 Mar, 2020 1 Answer 54 views

A dealer wishes to purchase a number of fans and sewing machines. He has only Rs. 5,760 to invest and has space for at most 20 items. A fan and sewing machine cost Rs. 360 and Rs. 240 respectively. He can sell a fan at a profit of Rs. 22 and sewing machine at a profit of Rs. 18. Assuming that he can sell whatever he buys, how should he invest his money in order to maximize his profit? Trans late the problem into LPP and solve it graphically

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A dealer wishes to purchase a number of fans and sewing machines. He has only Rs. 5,760 to invest and has space for at most 20 items. A fan and sewing machine cost Rs. 360 and Rs. 240 respectively. He can sell a fan at a profit of Rs. 22 and sewing machine at a profit of Rs. 18. Assuming that he can sell whatever he buys, how should he invest his money in order to maximize his profit? Trans late the problem into LPP and solve it graphically

Anonymous User tag : Maths Linear Programming 28 Mar, 2020 1 Answer 54 views

Two tailors A and B earn Rs.150 and Rs.200 per day respectively. A can stitch 6 shirts and 4 pants per day while B can stitch 10 shirts and 4 pants per day. Form a linear programming problem to minimize the labour cost to produce at lest 60 shirts and 32 pants

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Two tailors A and B earn Rs.150 and Rs.200 per day respectively. A can stitch 6 shirts and 4 pants per day while B can stitch 10 shirts and 4 pants per day. Form a linear programming problem to minimize the labour cost to produce at lest 60 shirts and 32 pants

Anonymous User tag : Maths Linear Programming 28 Mar, 2020 0 Answer 55 views

A company has two plants to manufacture motor cycles. 70% motor cycles are manufactured at the first plant, while 30% are manufactured at the second plant. At the first plant, 80% motor cycles are rated of the standard quality while at the second plant, 90% are rated of standard quality. A motor cycle, randomly picked up, Is found to be of standard quality. Find the probability that it has come out from the second plant?

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A company has two plants to manufacture motor cycles. 70% motor cycles are manufactured at the first plant, while 30% are manufactured at the second plant. At the first plant, 80% motor cycles are rated of the standard quality while at the second plant, 90% are rated of standard quality. A motor cycle, randomly picked up, Is found to be of standard quality. Find the probability that it has come out from the second plant?

Anonymous User tag : Maths Linear Programming 28 Mar, 2020 0 Answer 53 views

Consider the following statements : (1) Mode can be computed from histogram (2) Median is not independent of change of scale (3) Variance is independent of change of origin  and scale. Which of these is/are correct?

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Consider the following statements :
(1) Mode can be computed from histogram


(2) Median is not independent of change of scale

(3) Variance is independent of change of origin  and scale.

Which of these is/are correct?

Anonymous User tag : Maths Statistics 27 Mar, 2020 1 Answer 50 views

Suppose a population A has 100 observations 101,102, ..., 200, and another population B has 100 observations 151, 152, ..., 250. If VA and VB represent the variances of the two populations, respectively 1then VA /VB is

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Suppose a population A has 100 observations 101,102, ..., 200, and another population B has 100 observations 151, 152, ..., 250. If VA and VB represent the variances of the two populations, respectively 1then VA /VB is

Anonymous User tag : Maths Statistics 27 Mar, 2020 1 Answer 50 views

At a telephone enquiry system the number of phone calls regarding relevant enquiry follow Poisson distribution with a average of 5 phone calls during 10­minute time intervals. The probability that there is at the most one phone call during a 10­minute time period is

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At a telephone enquiry system the number of phone calls regarding relevant enquiry follow Poisson distribution with a average of 5 phone calls during 10­minute time intervals. The probability that there is at the most one phone call during a 10­minute time period is?

Anonymous User tag : Maths Probability 16 Mar, 2020 1 Answer 61 views

A is one of 6 horses entered for a race and is to be ridden by one of two jokceys B and C.It is 2 to 1 that B rides A, in which case all the horses are equally likely to win .If C rides A, his chances of winning is trippled . what are the odds against winning of A?

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A is one of 6 horses entered for a race and is to be ridden by one of two jokceys B and C.It is 2 to 1 that B rides A, in which case all the horses are equally likely to win .If C rides A, his chances of winning is trippled . what are the odds against winning of A?

Anonymous User tag : Maths 02 Feb, 2020 1 Answer 73 views

Ram travels towards east covering 5 km. He takes a left turn and travels 10 km more. Then, he takes a right turn and travels another 5km and finally takes a right turn to cover 10 km. How far is he from his original position?

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Ram travels towards east covering 5 km. He takes a left turn and travels 10 km more. Then, he takes a right turn and travels another 5km and finally takes a right turn to cover 10 km. How far is he from his original position?

Anonymous User tag : Maths 09 Oct, 2019 1 Answer 79 views

If inside a big circle exactly 24 small circles, each of radius 2, can be drawn in such a way that each small circle touches the big circle and also touches both its adjacent small circles, then radius of the big circle is?

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If inside a big circle exactly 24 small circles, each of radius 2, can be drawn in such a way that each small circle touches the big circle and also touches both its adjacent small circles, then radius of the big circle is?

Anonymous User tag : Maths 09 Sep, 2019 0 Answer 95 views

A bird is sitting on the top of a vertical pole 20 m high and its elevation from a point O on the ground is 45°. It flies off horizontally straight away from the point O. After one second, the elevation of the bird from O is reduced to 30°. Then the speed (in m/s) of the bird is?

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A bird is sitting on the top of a vertical pole 20 m high and its elevation from a point O on the ground is 45°. It flies off horizontally straight away from the point O. After one second, the elevation of the bird from O is reduced to 30°. Then the speed (in m/s) of the bird is?

Preeti Rai tag : Maths 20 May, 2019 1 Answer 74 views

A number consists of three digits which are in G.P. the sum of the right hand and left hand digits exceeds twice the middle digit by 1 and the sum of the left hand and middle digits is two third of the sum of the middle and right hand digits. Find the numbers?

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A number consists of three digits which are in G.P. the sum of the right hand and left hand digits exceeds twice the middle digit by 1 and the sum of the left hand and middle digits is two third of the sum of the middle and right hand digits. Find the numbers?

Anonymous User tag : Maths 18 Apr, 2019 1 Answer 526 views

A bag contains 50 tickets, numbered from 1 to 50. One ticket is drawn at random. What is the probability that (i) number on the ticket is a perfect square or divisible by 3 ? (ii) number on the ticket is prime number or greater than 40 ?

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A bag contains 50 tickets, numbered from 1 to 50. One ticket is drawn at random. What is the probability that

(i) number on the ticket is a perfect square or divisible by 3 ?

(ii) number on the ticket is prime number or greater than 40 ?

Anonymous User tag : Maths Probability and statistics 25 Mar, 2019 1 Answer 65 views

A problem in statistics is given to three students A, B and C. Their chances of solving the problem are 1/3, 1/4 and 1/5 respectively. If all of them try independently, what is the probability that?

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A problem in statistics is given to three students A, B and C. Their chances of solving the problem are 1/3, 1/4 and 1/5 respectively. If all of them try independently, what is the probability that?

  1. (i)  problem is not solved ?
  2. (ii)  problem is solved ?
  3. (iii)  exactly two students solve the problems

Anonymous User tag : Maths 09 Mar, 2019 0 Answer 87 views

A doctor is called to see a sick child. The doctor has prior information that 80% of sick children in that area have the flu, while the other 20% are sick with measles. Assume that there is no other disease in that area. A well-known symptom of measles is a rash. From the past records it is known that, chances of having rashes given that sick child is suffering from measles is 0.95. However, occasionally children with flu also develop rash, whose chances are 0.08. Upon examining the child, the doctor finds a rash. What is the probability that the child has measles?

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A doctor is called to see a sick child. The doctor has prior information that 80% of sick children in that area have the flu, while the other 20% are sick with measles. Assume that there is no other disease in that area. A well-known symptom of measles is a rash. From the past records it is known that, chances of having rashes given that sick child is suffering from measles is 0.95. However, occasionally children with flu also develop rash, whose chances are 0.08. Upon examining the child, the doctor finds a rash. What is the probability that the child has measles?

Anonymous User tag : Maths 27 Sep, 2018 1 Answer 140 views

A school has four sections of chemistry in class XII having40, 35, 45 and 42 students. The mean marks obtained inChemistry test are 50, 60, 55 and 45 respectively for the four sections, the over all average of marks per students is

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A school has four sections of chemistry in class XII having40, 35, 45 and 42 students. The mean marks obtained inChemistry test are 50, 60, 55 and 45 respectively for the four sections, the over all average of marks per students is?

Anonymous User tag : Maths IIT 13 Sep, 2018 1 Answer 1435 views

A vessel contains a mixture of milk and water in the respective ratio of 10 : 3. Twenty-six litre of this mixture was taken out and replaced with 8 litre of water. If the resultant respective ratio of milk and water in the mixture was 5 : 2, what was the initial quantity of mixture in the vessel ? (in litre)

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A vessel contains a mixture of milk and water in the respective ratio of 10 : 3. Twenty-six litre of this mixture was taken out and replaced with 8 litre of water. If the resultant respective ratio of milk and water in the mixture was 5 : 2, what was the initial quantity of mixture in the vessel ? (in litre)

Anonymous User tag : Maths SBI PO 30 Jun, 2018 1 Answer 543 views

The cost price of item B is Rs. 150/- more than the cost price of item A. Item A was sold at a profit of 10% and item B was sold at a loss of 20%. If the respective ratio of selling prices of items A and B is 11 : 12, what is the cost price of item B?

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The cost price of item B is Rs. 150/- more than the cost price of item A. Item A was sold at a profit of 10% and item B was sold at a loss of 20%. If the respective ratio of selling prices of items A and B is 11 : 12, what is the cost price of item B?

Anonymous User tag : Maths SBI PO 30 Jun, 2018 1 Answer 923 views

Let PQ be a focal chord of the parabola

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Let PQ be a focal chord of the parabola  

The tangents to the parabola at P and Q meet at a point lying on the line y = 2x + a, a > 0.

1.Length of chord PQ is?

2.If chord PQ subtends an angle θ at the vertex of y2 = 4ax, then tanθ =

Devendra Yadav tag : Maths 30 Apr, 2018 2 Answer 1754 views

Where did this 8(x+h ) come from

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If a chord is not ahttps://www.innovayz.com/questions-answers/question-detail?q_code=114&q_detail=If+a+chord%2C+which+is+not+a+tangent%2C+of+the+parabola+y2+%3D+16x+has+the+equation+2x+%2B+y+%3D+p%2C+and+midpoint+%28h%2C+k%29%2C+then+what+is%28are%29+possible+value%28s%29+of+p%2C+h+and+k+%3F+

Anonymous User tag : Maths 06 Apr, 2018 0 Answer 71 views

In an examination of a school having 60 students in XII A and 40 students in XII B, 15 and 20 students failed in XII A and XII B, respectively. A student is called by the principal at random, find the probability that he is from XII A if he passed in the examination.

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In an examination of a school having 60 students in XII A and 40 students in XII B, 15 and 20 students failed in XII A and XII B, respectively. A student is called by the principal at random, find the probability that he is from XII A if he passed in the examination.

Anonymous User tag : Maths 21 Feb, 2018 1 Answer 75 views

A factory makes nuts and bolts. A nut takes 1.5 hrs of machine time and 3 hrs of worker’s time in its making while a bolt takes 3 hrs of machine time and 1 hr of worker’s time. In a day, the factory has the availability of not more than 42 hrs of machine time and 24 hrs of worker’s time. If the profit on a nut is Rs. 20 and on a bolt is Rs. 10, find the number of nuts and bolts the factory should manufacture to earn maximum profit. Make it as L.P.P and solve it graphically.

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A factory makes nuts and bolts. A nut takes 1.5 hrs of machine time and 3 hrs of worker’s time in its making while a bolt takes 3 hrs of machine time and 1 hr of worker’s time. In a day, the factory has the availability of not more than 42 hrs of machine time and 24 hrs of worker’s time. If the profit on a nut is Rs. 20 and on a bolt is Rs. 10, find the number of nuts and bolts the factory should manufacture to earn maximum profit.

Make it as L.P.P and solve it graphically.

Devendra Yadav tag : Maths 13 Feb, 2018 1 Answer 91 views

A man X has 7 friends, 4 of them are ladies and 3 are men. His wife Y also has 7 friends, 3 of them are ladies and 4 are men. Assume X and Y have no common friends. Then the total number of ways in which X and Y together can throw a party inviting 3 ladies and 3 men, so that 3 friends of each of X and Y are in this party, is?

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A man X has 7 friends, 4 of them are ladies and 3 are men. His wife Y also has 7 friends, 3 of them are ladies and 4 are men. Assume X and Y have no common friends. Then the total number of ways in which X and Y together can throw a party inviting 3 ladies and 3 men, so that 3 friends of each of X and Y are in this party, is?

Devendra Yadav tag : Maths 03 Jan, 2018 2 Answer 360 views

In a triangle PQR, P is the largest angle and cos P = 1/3. Further the incircle of the triangle touches the sides PQ, QR and RP at N, L and M respectively, such that the lengths of PN, QL and RM are consecutive even integers. Then possible length(s) of the side(s) of the triangle is (are) ?

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In a triangle PQR, P is the largest angle and cos P = 1/3. Further the incircle of the triangle touches the sides PQ, QR and RP at N, L and M respectively, such that the lengths of PN, QL and RM are consecutive even integers. Then possible length(s) of the side(s) of the triangle is (are) ?

Devendra Yadav tag : Maths 10 Dec, 2017 1 Answer 491 views

Words of length 10 are formed using the letters, A, B, C, D, E, F, G, H, I, J. Let x be the number of such words where no letter is repeated ; and let y be the number of such words where exactly one letter is repeated twice and no other letter is repeated. Then, y/9x=?

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Words of length 10 are formed using the letters, A, B, C, D, E, F, G, H, I, J. Let x be the number of such words where no letter is repeated ; and let y be the number of such words where exactly one letter is repeated twice and no other letter is repeated. Then, y/9x=?

Devendra Yadav tag : Maths 10 Dec, 2017 1 Answer 1796 views

For three events A, B and C, P(Exactly one of A or B occurs) = P(Exactly one of B or C occurs) = P (Exactly one of C or A occurs) = 1/ 4 and P(All the three events occur simultaneously) = 1 /16 . Then the probability that at least one of the events occurs, is?

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For three events A, B and C, P(Exactly one of A or B occurs) = P(Exactly one of B or C occurs) = P (Exactly one of C or A occurs) = 1/ 4 and P(All the three events occur simultaneously) = 1 /16 . Then the probability that at least one of the events occurs, is?

Devendra Yadav tag : Maths 08 Dec, 2017 0 Answer 61 views

For three events A, B and C, P(Exactly one of A or B occurs) = P(Exactly one of B or C occurs) = P (Exactly one of C or A occurs) = 1 /4 and P(All the three events occur simultaneously) = 1/ 16 . Then the probability that at least one of the events occurs, is:

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For three events A, B and C, P(Exactly one of A or B occurs) = P(Exactly one of B or C occurs) = P (Exactly one of C or A occurs) = 1 /4 and P(All the three events occur simultaneously) = 1/ 16 . Then the probability that at least one of the events occurs, is:

Devendra Yadav tag : Maths 07 Dec, 2017 1 Answer 1218 views

What will be the probability that at least one of the event occurs for three events A, B and C, P(Exactly one of A or B occurs) = P(Exactly one of B or C occurs) = P(Exactly one of C or A occurs) = 1/4 and P(All the three events occur simultaneously) = 1/16?

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What will be the probability that at least one of the event occurs for three events A, B and C, P(Exactly one of A or B occurs) = P(Exactly one of B or C occurs) = P(Exactly one of C or A occurs) = 1/4 and P(All the three events occur simultaneously) = 1/16?

Anshul Kumar Singh tag : Maths 02 Sep, 2017 1 Answer 818 views