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Q #61
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IBPS Quants Question


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In how many different ways can the letters of the word ‘OPTICAL’ be arranged so that the vowels always come together?
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Total words =7 vowels=3 vowels come together= 5!3! =>720

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Q #62
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IBPS Quants Question


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Nine days ago, the area covered by the mold on a piece of bread was 3 square inches. Today the mold covers 9 square inches. What is the rate of change in mold’s area?
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Initial value 3 square inches New value 9 square inches Rate of change=additional value/initial value Rate of change=6÷3=2 square inches per day

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Q #63
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IBPS Quants Question


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The LCM of three different numbers is 150. Which of the following can never be their HCF?
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HCF must divide LCM but 150 is not divisible by 12 hence 12

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Q #64
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IBPS Quants Question


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How many three letter words with or without meaning can be formed out of letters of the word SIGNATURE if repetition is not allowed?
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The number of ways of selecting 3 letters = 9C3 and those letters can be arranged in 3! Ways So total required ways = 9C3 * 3! = 9.8.7/3.2.1 (6) = 9.8.7 = 504

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Q #65
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IBPS Quants Question


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From a deck of 52 cards. 4 cards are selected so as to include at least 1 spade card. In how many ways can this be done?
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We first calculate that no card is spade = 39C4 and now remove these cases from total ways = 52C4 -39C4

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