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How many prime numbers are there which, when divided by another prime number, gives a quotient which is same as the remainder?

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Important Questions on Numbers and Their Properties

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Let A, B, and C be digits such that (100A+10B+C) (A+B+C)=2005. What is the value of A?
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Find the product of all the factors of 316.
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What is the remainder when 9091 is divided by 13?
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Find the remainder when the product of 10 consecutive natural numbers starting from 8641 is divided by 8640.
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A faulty car odometer proceeds from digit 3 to digit 5, always skipping digit 4, regardless of position. If the odometer now reads 002,005, how many miles has the car actually traveled?
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How many numbers are there between 400 and 600 in which 8 occurs only once?
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If n2=123.45654321, which of the following is the exact value of n?
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A mule said to a horse, "If I take one sack off your back, my load will be double of yours and if you take one off my back our load will be the same". How many sacks in all were they carrying?