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Maths Questions

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 69 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 76 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 62 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 317 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 61 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 70 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 113 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 993 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 384 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 592 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 1324 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 64 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 70 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 88 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 324 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 406 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 1406 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 57 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 998 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 648 views

Mr. Sharma and Mr. Arora are family friends and they decided to go for a trip with family . For the trio they reserved their rail tickets . Mr. Arora has not taken a half ticket for his child who is 6 years old where as Mr, Sharma has taken half tickets for his two children who are 6 year and 8.5 year.A railway half ticket costs half of the full fare but the reservation charges are the same as on a FULL TICKET. MR AND MRS ARORA PAID 1700,WHILE MR AND MRS SHARMA PAID 2700. Find the full share of one ticket and reservation charges per ticket.

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Mr. Sharma and Mr. Arora are family friends and they decided to go for a trip with family . For the trio they reserved their rail tickets . Mr. Arora has not taken a half ticket for his child who is 6 years old where as Mr, Sharma has taken half tickets for his two children who are 6 year and 8.5 year.A railway half ticket costs half of the full fare but the reservation charges are the same as on a FULL TICKET. MR AND MRS ARORA PAID 1700,WHILE MR AND MRS SHARMA PAID 2700. Find the full share of one ticket and reservation charges per ticket.

Ashish Maurya tag : Maths 07 Jul, 2017 1 Answer 1102 views