A person writes a letter to four of his friends. He asks each one of
them to copy the letter and mail to four different persons with instruction
that they move the chain similarly. Assuming that the chain is not broken and
that it costs 50 paise to mail one letter. Find the amount spend on the
postage when 8th set of letter is mailed.
A person writes a letter to four of his friends. He asks each one of
them to copy the letter and mail to four different persons with instruction
that they move the chain similarly. Assuming that the chain is not broken and
that it costs 50 paise to mail one letter. Find the amount spend on the
postage when 8th set of letter is mailed.
Text Solution
Verified by Experts
Here, a = 4, r = 4, n = 8
Using the sum of a G.P. formula
`S_n` = a `(r^n - 1)/(r - 1)`
`S_8` = 4 `(4^8 - 1)/(4 - 1)`
...
Using the sum of a G.P. formula
`S_n` = a `(r^n - 1)/(r - 1)`
`S_8` = 4 `(4^8 - 1)/(4 - 1)`
...
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The English alphabet is categorised into 5 groups, each starting with a vowel and encompassing the immediately following consonants in the group. Thus, the first group would have letters A, B,C and D, the second E, F, G and H, and so on. These groups are assigned values as 10 for the first, 20 for the second, and so on, up to 50 the last. Every letter in a particular group will have the same value of the group when used to form words. The value of each letter should add up to compute the value of the word. If the word has letters only from the same group, the value of the word would be the value of the letter multiplied by the number of letters in the word. However, if the letters in a word are from different groups, the value of the first letter of the word and any other letter of that group will be the same as that of its group, but that of the subsequent letter will he ‘double’ as much as the value of its group. For example: The value of ‘CAB’ will be 30 (i.e. 10 + 10 + 10 ) as all the three letters are from the first group, each one having a value of 10. The value of ‘BUT’ will be 10 + (50*2) + (40*2)= 190 The value of ‘JUNK’ will be 30 + (50*2) + 30 + 30 = 190 . Now, find out the value of each word in the following questions: SPORT 1) 200 2) 360 3) 380 4) 250 5) None of these
The English alphabet is categorised into 5 groups, each starting with a vowel and encompassing the immediately following consonants in the group. Thus, the first group would have letters A, B,C and D, the second E, F, G and H, and so on. These groups are assigned values as 10 for the first, 20 for the second, and so on, up to 50 the last. Every letter in a particular group will have the same value of the group when used to form words. The value of each letter should add up to compute the value of the word. If the word has letters only from the same group, the value of the word would be the value of the letter multiplied by the number of letters in the word. However, if the letters in a word are from different groups, the value of the first letter of the word and any other letter of that group will be the same as that of its group, but that of the subsequent letter will he ‘double’ as much as the value of its group. For example: The value of ‘CAB’ will be 30 (i.e. 10 + 10 + 10 ) as all the three letters are from the first group, each one having a value of 10. The value of ‘BUT’ will be 10 + (50*2) + (40*2)= 190 The value of ‘JUNK’ will be 30 + (50*2) + 30 + 30 = 190 . Now, find out the value of each word in the following questions: SHOP 1) 70 2) 120 3) 130 4) 140 5) None of these
The English alphabet is categorised into 5 groups, each starting with a vowel and encompassing the immediately following consonants in the group. Thus, the first group would have letters A, B,C and D, the second E, F, G and H, and so on. These groups are assigned values as 10 for the first, 20 for the second, and so on, up to 50 the last. Every letter in a particular group will have the same value of the group when used to form words. The value of each letter should add up to compute the value of the word. If the word has letters only from the same group, the value of the word would be the value of the letter multiplied by the number of letters in the word. However, if the letters in a word are from different groups, the value of the first letter of the word and any other letter of that group will be the same as that of its group, but that of the subsequent letter will he ‘double’ as much as the value of its group. For example: The value of ‘CAB’ will be 30 (i.e. 10 + 10 + 10 ) as all the three letters are from the first group, each one having a value of 10. The value of ‘BUT’ will be 10 + (50*2) + (40*2)= 190 The value of ‘JUNK’ will be 30 + (50*2) + 30 + 30 = 190 . Now, find out the value of each word in the following questions: HIGH 1) 40 2) 60 3) 70 4) 80 5) None of these
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Study the following information carefully and answer the given questions based on it The English alphabet is categorised into five groups, each starting with a vowel and encompassing the immediately following consonants in the group. Thus group one consists of A, B, C and D, group two consists of E, F,G and H, group three consists of 1, J, K, L, M and N, group four consists of O, P, Q,R, S and T, and the remaining letters make group five. These groups are assigned values as 10 for each letter of first group, 20 for each letter of second group, 30 for each letter of third group, 40 for each letter of fourth group, and 50 for each letter of group five. When used to form words, the value of each letter should be added up to compute the value of the word. If the word has letters only from the same group the value of the word would be the value of the sum of letters. However, if the letters in a word are from difierent groups, the value of the first letter of the word and any other letter of that group will be the same as that of its individual letter value of its group, but that of a letter from another group will be 'double’ as much as the value of each letter of its group. If we have to find the value of MANGO, its first letter is M (from third group), among A, N, G and O, N is also from third group. Hence value of M + N = 30 + 30 = 60 Now A, G and O belong to first, second and the fourth group respectively. Hence value of A + G + O = double the value of A + double the value of G + double the value of O = 2*10 + 2*20 + 2* 40 = 140. Hence, total value = 140+600 = 200.which one or two or three of the words denoted by A, B and C correspond to the given value. 280 (A)WORK (B)GHOST C) FOUR 1) A and B only 2) B and C only 3) A and C only 4) All the three 5)None of these
Study the following information carefully and answer the given questions based on it The English alphabet is categorised into five groups, each starting with a vowel and encompassing the immediately following consonants in the group. Thus group one consists of A, B, C and D, group two consists of E, F,G and H, group three consists of 1, J, K, L, M and N, group four consists of O, P, Q,R, S and T, and the remaining letters make group five. These groups are assigned values as 10 for each letter of first group, 20 for each letter of second group, 30 for each letter of third group, 40 for each letter of fourth group, and 50 for each letter of group five. When used to form words, the value of each letter should be added up to compute the value of the word. If the word has letters only from the same group the value of the word would be the value of the sum of letters. However, if the letters in a word are from difierent groups, the value of the first letter of the word and any other letter of that group will be the same as that of its individual letter value of its group, but that of a letter from another group will be 'double’ as much as the value of each letter of its group. If we have to find the value of MANGO, its first letter is M (from third group), among A, N, G and O, N is also from third group. Hence value of M + N = 30 + 30 = 60 Now A, G and O belong to first, second and the fourth group respectively. Hence value of A + G + O = double the value of A + double the value of G + double the value of O = 2*10 + 2*20 + 2* 40 = 140. Hence, total value = 140+600 = 200.which one or two or three of the words denoted by A, B and C correspond to the given value. 220 (A)THEY (B)EASY (C)VALUE 1) A and B only 2) B and C only 3) A and C only 4) All the three 5) None of these
Study the following information carefully and answer the given questions based on it The English alphabet is categorised into five groups, each starting with a vowel and encompassing the immediately following consonants in the group. Thus group one consists of A, B, C and D, group two consists of E, F,G and H, group three consists of 1, J, K, L, M and N, group four consists of O, P, Q,R, S and T, and the remaining letters make group five. These groups are assigned values as 10 for each letter of first group, 20 for each letter of second group, 30 for each letter of third group, 40 for each letter of fourth group, and 50 for each letter of group five. When used to form words, the value of each letter should be added up to compute the value of the word. If the word has letters only from the same group the value of the word would be the value of the sum of letters. However, if the letters in a word are from difierent groups, the value of the first letter of the word and any other letter of that group will be the same as that of its individual letter value of its group, but that of a letter from another group will be 'double’ as much as the value of each letter of its group. If we have to find the value of MANGO, its first letter is M (from third group), among A, N, G and O, N is also from third group. Hence value of M + N = 30 + 30 = 60 Now A, G and O belong to first, second and the fourth group respectively. Hence value of A + G + O = double the value of A + double the value of G + double the value of O = 2*10 + 2*20 + 2* 40 = 140. Hence, total value = 140+600 = 200.which one or two or three of the words denoted by A, B and C correspond to the given value. 120 (A)KILN (B)MEAN (C)DAY 1) A and B only 2) B and C only 3) A and C only 4) All the three 5) None of these
Study the following information carefully and answer the given questions based on it The English alphabet is categorised into five groups, each starting with a vowel and encompassing the immediately following consonants in the group. Thus group one consists of A, B, C and D, group two consists of E, F,G and H, group three consists of 1, J, K, L, M and N, group four consists of O, P, Q,R, S and T, and the remaining letters make group five. These groups are assigned values as 10 for each letter of first group, 20 for each letter of second group, 30 for each letter of third group, 40 for each letter of fourth group, and 50 for each letter of group five. When used to form words, the value of each letter should be added up to compute the value of the word. If the word has letters only from the same group the value of the word would be the value of the sum of letters. However, if the letters in a word are from difierent groups, the value of the first letter of the word and any other letter of that group will be the same as that of its individual letter value of its group, but that of a letter from another group will be 'double’ as much as the value of each letter of its group. If we have to find the value of MANGO, its first letter is M (from third group), among A, N, G and O, N is also from third group. Hence value of M + N = 30 + 30 = 60 Now A, G and O belong to first, second and the fourth group respectively. Hence value of A + G + O = double the value of A + double the value of G + double the value of O = 2*10 + 2*20 + 2* 40 = 140. Hence, total value = 140+600 = 200.which one or two or three of the words denoted by A, B and C correspond to the given value. 180 (A)FIVE (B)WEEK (C)PORT 1) A and B only 2) B and C only 3) A and C only 4) All the three 5) None of these
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