Question
In how many different ways can the letters of the word
“MONDAY” be arranged in such a way that the vowels always come together?Solution
The arrangement is made in such a way that the vowels always come together; ie, “MNDY (OA)” Considering vowels as one letter, 5 different letters can be arranged in 5 ways; ie, 5! = 120 ways The vowels ‘OA’ can be arranged themselves in 2! ways; 2! = 2 ways Therefore, required number of ways = 120 × 2 = 240 ways
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3, 10, 29, 66, 127, ? - What will come in place of (?) in the given number series.
7, 14, 28, 56, ?, 224 What will come in place of (?) Question mark in the given number series.
28, 29, 38, 63, 112, 193, ?
What will come in place of (?) question mark in the given number series.
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In each of the following number series, one term is missing. Find the missing term.
7, 15, 31, 63, ?, 255
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415 246 367 ? 335 310
...36, 48, 24, 60, ?, 72
43, 56, 82, ?, 173, 238