Sanchita enters a shop to buy pens, pencils and books. She has to buy at least 9 units of each. She buys more pencils than pens and more books than pencils. She picks up a total 32 items. How many pencils does she buy? (SBI CLERK)
A
Either 12 or 13
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B
Either 11 or 12
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C
Either 10 or 11
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D
Either 9 or 11
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E
Either 9 or 10
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Solution
The correct option is C
Either 10 or 11 Number of pens < pencils < books and their sum must be 32. If pens = 9 pencils > pens = 10 and books > pencils = 11. Sum = 30 And if pencils = 11, books will be = 12. Sum = 32 So, No. of pencils can be either 10 or 11.