Question
In how many different ways can the letters of the word
‘SURGICAL’ be arranged so that the vowels always come together ?Solution
The word SURGICAL contains 8 different letters When the vowels ‘UIA’ are always together, they can be supposed to form one letter Then, we have to arrange the letters SRGCL(UIA) Now 6 letters can be arranged in 6! = 720 ways The vowels (UIA) can be arranged among themselves in 3! = 6 ways ∴ Required number of ways = 720 × 6 = 4320 ways.
169, 224, 293, 385, 497, 629
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20, 33, 50, 69, 93, 121
25Â Â Â 26Â Â Â Â 28Â Â Â Â 32Â Â Â Â 42Â Â Â Â 56
Find the wrong number in the given number series.
8, 12, 23, 40, 66, 103
8137, 5405, 3669, 2701, 2201, 1997
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78, 66, 51, 39, 20, 12
2824Â Â Â Â 2314Â Â Â Â Â 1973Â Â Â Â 1759Â Â Â Â 1634Â Â Â Â 1574
In each of the following number series, one term is wrong. Find the wrong term.
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Find the wrong term in the given series below.
2847, 2954, 2799, 3088, 2727, 3256
Find the wrong number in the given number series.
2, 5, 10, 17, 26, 38, 50