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In a legislative assembly election, a political group hired a public relations firm to promote its candidate in three ways: telephone, house calls, and letters. The cost per contact (in paise) is given in matrix A as `""Cos t""p e r""""con t a c

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Cost per contact, `A=``[[40], [100], [50]]`
Number of contact `B``=[[1000, 500, 5000], [3000, 1000,10000]]`
Total amount spent`=BA=[[340000], [720000]]`
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In a parliament election, a political party hired a public relations firm to promote its candidates in three ways telephone, house calls and letters. The cost per contact (in paisa) is given in matrix A as A=[140 200 150]T e l e p hon e Hou s e\ c a l l s L e tt e r s The number of contacts of each type made in two cities X and Y is given in the matrix B as Telephone House call Letters B=[1000\ \ \ \ \ \ \ \ \ \ \ \ \ 500\ \ \ \ \ \ \ \ \ \ \ \ \ \ 5000 3000\ \ \ \ \ \ \ \ \ \ 1000\ \ \ \ \ \ \ \ \ \ \ \ 10000]C i t y\ X C i t y\ Y Find the total amount spent by the party in the two cities. What should one consider before casting his/her vote partys promotional activity or their social activities?

In a parliament election, a political party hired a public relations firm to promote its candidates in three ways telephone, house calls and letters. The cost per contact (in paise) is given in matrix A as A=[140 200 150]T e l e p hon e Hou s ec a l l L e tt e r s The number of contacts of each type made in two cities X and Y is given in the matrix B as B=[1000 500 5000 3000 1000 10000]C i t yX C i t yY Find the total amount spent by the party in the two cities. What should one consider before casting his/her vote partys promotional activity or their social activities ?

In each question below is given a group of letters followed by four combinations of digits/symbols numbered (a), (b) , (c) and (d). You have to find out which of the combinations correctly represents the group of letters based on the coding system and mark the number of that combination as your answer. If none of the combinations correctly represents the group of letters, mark of the combinations correctly represents the group of letters, mark (e), i.e. "None of these" as your answer. {:("Letter",:,"W R A P G B M U S E F T N D"),("Digit/Symbol Code",:,"$ 8 ! 2 7 # 9 @ ? 5 "beta" 4 * 6"):} Conditions : (i) If the middle letter is a vowel, the codes for the first and fourth letter are to be interchanged. (ii) If the first two letters are consonants, the first letter is to be coded, no code may be given to the second letter and the remanining three letters are to be coded. (iii) If the first letter is a vowel and the last letter is a consonant both are to be coded as the for the Consonant. NEAST

In each question below is given a group of letters followed by four combinations of digits/symbols numbered (a), (b) , (c) and (d). You have to find out which of the combinations correctly represents the group of letters based on the coding system and mark the number of that combination as your answer. If none of the combinations correctly represents the group of letters, mark of the combinations correctly represents the group of letters, mark (e), i.e. "None of these" as your answer. {:("Letter",:,"W R A P G B M U S E F T N D"),("Digit/Symbol Code",:,"$ 8 ! 2 7 # 9 @ ? 5 "beta" 4 * 6"):} Conditions : (i) If the middle letter is a vowel, the codes for the first and fourth letter are to be interchanged. (ii) If the first two letters are consonants, the first letter is to be coded, no code may be given to the second letter and the remanining three letters are to be coded. (iii) If the first letter is a vowel and the last letter is a consonant both are to be coded as the for the Consonant. DAEWP

In each question below is given a group of letters followed by four combinations of digits/symbols numbered (a), (b) , (c) and (d). You have to find out which of the combinations correctly represents the group of letters based on the coding system and mark the number of that combination as your answer. If none of the combinations correctly represents the group of letters, mark of the combinations correctly represents the group of letters, mark (e), i.e. "None of these" as your answer. {:("Letter",:,"W R A P G B M U S E F T N D"),("Digit/Symbol Code",:,"$ 8 ! 2 7 # 9 @ ? 5 "beta" 4 * 6"):} Conditions : (i) If the middle letter is a vowel, the codes for the first and fourth letter are to be interchanged. (ii) If the first two letters are consonants, the first letter is to be coded, no code may be given to the second letter and the remanining three letters are to be coded. (iii) If the first letter is a vowel and the last letter is a consonant both are to be coded as the for the Consonant. PEFTG

In each question below is given a group of letters followed by four combinations of digits/symbols numbered (a), (b) , (c) and (d). You have to find out which of the combinations correctly represents the group of letters based on the coding system and mark the number of that combination as your answer. If none of the combinations correctly represents the group of letters, mark of the combinations correctly represents the group of letters, mark (e), i.e. "None of these" as your answer. {:("Letter",:,"W R A P G B M U S E F T N D"),("Digit/Symbol Code",:,"$ 8 ! 2 7 # 9 @ ? 5 "beta" 4 * 6"):} Conditions : (i) If the middle letter is a vowel, the codes for the first and fourth letter are to be interchanged. (ii) If the first two letters are consonants, the first letter is to be coded, no code may be given to the second letter and the remanining three letters are to be coded. (iii) If the first letter is a vowel and the last letter is a consonant both are to be coded as the for the Consonant. SMGBE

In each question below is given a group of letters followed by four combinations of digits/symbols numbered (a), (b) , (c) and (d). You have to find out which of the combinations correctly represents the group of letters based on the coding system and mark the number of that combination as your answer. If none of the combinations correctly represents the group of letters, mark of the combinations correctly represents the group of letters, mark (e), i.e. "None of these" as your answer. {:("Letter",:,"W R A P G B M U S E F T N D"),("Digit/Symbol Code",:,"$ 8 ! 2 7 # 9 @ ? 5 "beta" 4 * 6"):} Conditions : (i) If the middle letter is a vowel, the codes for the first and fourth letter are to be interchanged. (ii) If the first two letters are consonants, the first letter is to be coded, no code may be given to the second letter and the remanining three letters are to be coded. (iii) If the first letter is a vowel and the last letter is a consonant both are to be coded as the for the Consonant. UGREN

Twelve people are sitting in two parallel rows containing six people each such that they are equidistant from each other. In row 1: P,Q,R, S, T and V are seated and all of them are facing South. In row 2: A, B, C, D, E and F are seated and all of them are facing North. Therefore, in the given seating arrangement, each member seated in a row faces another member of the other row. S sits third to the right of Q. Either S or Q sits at an extreme end of the line. The one who faces Sits second to the right of E. Two people sit between B and F. Neither B nor F sits at an extreme end of the line. The immediate neighbour of B faces the person who sits third to the left of P. R and T are immediate neighbours. C sits second to the left of A. T does not face the immediate neighbour of D. Four of the following five are alike in a certain way based on the given arrangement and so form a group. Which is the one that does not belong to that group ?

Directions: Study the following information and answer the given questions: Ten friends A, B, C, D, E, P, Q, R, S, and T went for boating after the end of their mid-semester exams. They were travelling together in a single boat. Five persons were sitting on side X of the boat and the remaining five persons were sitting on side Y of the boat. Side X is on the west of side Y. The persons sitting on side X were facing the North and the persons sitting on side Y were facing the South. These persons were sitting one behind the other with equal distance between them on their respective sides. A person sitting on side X was at the right of a person sitting on side Y. Similarly, a person sitting on side Y was at the right of a person sitting on side X Only P is sitting between A and B who is facing the South. B is not sitting at the right of C. The three people sitting behind B are facing the South. There are 3 people sitting between E and D who is sitting at the right of R. R is not sitting on side X. There is at least one person sitting between T and A who is sitting at the right of S. Four of the five are alike in a certain way in the following arrangement and thus form a group. Which is the one that does not belong to the group?

RD SHARMA-ALGEBRA OF MATRICES-Solved Examples And Exercises
  1. Three shopkeepers A ,\ B\ a n d\ C go to a store to buy stationary....

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  2. The cooperative stores of a particular school has 10 dozen physics ...

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  3. In a legislative assembly election, a political group hired a publi...

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  4. A trust fund has Rs. 30000 that must be invested in two different t...

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  5. To promote making of toilets for women, an organisation tried to ge...

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  6. There are two families A and B.In family A, there are 4 men, 6 women a...

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  7. In a parliament election, a political party hired a public relation...

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  8. The monthly incomes of Aryan and Babban are in the ratio 3 : 4 and ...

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  9. A trust invested some money in two types of bonds. The first bond pays...

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  10. If A=[-1 2 3] and B=[-2\ \ -1\ \ -4] , verify that (A B)^T=B^T\ A^T

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  11. If A=[costheta-sinthetasinthetacostheta] , then find the values of ...

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  12. If A=[(1,2,2),(2,1,-2),(a,2,b)] is a matrix satisfying "AA"^T=9I3 , th...

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  13. Find the values of x,y,z if the matrix A=[[0,2y,z],[x,y,-z],[x,-y,z]] ...

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  14. Let A=[2-3-7 5] and B=[1 0 2-4] , verify that (2A)^T=2A^T (ii) (A+B)^T...

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  15. If A=[3 5 2] and B=[1\ \ 0\ \ 4] , verify that (A B)^T=B^T\ A^Tdot

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  16. Let A=[1-1 0 2 1 3 1 2 1] and B=[1 2 3 2 1 3 0 1 1] . Find A^T ,\ B^T ...

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  17. If A=[-2 4 5] , B=[1\ \ 3\ \ -6] , verify that (A B)^T=B^T\ A^T

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  18. If A=[(2, 4,-1),(-1, 0, 2)] , B=[(3, 4),(-1, 2),( 2, 1)] , find (A B)^...

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  19. For the matrices A and B , A=[2 1 3 4 1 0] , B=[1-1 0 2 5 0] verify th...

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  20. For two matrices A and B , verify that (A B)^T=B^T\ A^T , where A=[1 3...

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