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Whoever wrote the question is totally screwed up.
If the meter was a 3 V DC meter with an internal resistance of 3 k-ohms, then it would be classified as a 1000 ohms per volt meter, or it uses a 1 mA meter movement, typical possibly before the mid 1940s. After the mid 1940s 20,000 ohms per V became typical (the Simpson 260).
Assuming 1000 ohms per volt, then total resistance has to be 150,000 ohms to make it a 150 V full scale meter. Thus, an external 147,000 ohm resistor is required.
A modern Simpson 260 has a 50 microampere movement or 20,000 ohms per volt, and has a total resistance of 250 * 20,000 = 5,000,000 ohms on the DC 250 V range. Note: the 260 in recent times is 5,000 ohms per volt on AC, and in the past was 1000 ohms per volt for AC.
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