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Quantitative Aptitude
Arithmetic
Decimals Fractions
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In the product of two fractions a/b and c/d, how many zeros are there between the decimal point and the first non-zero digit after the decimal point?
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3
Solution:
To find the number of zeros between the decimal point and the first non-zero digit after the decimal point in the product of the two fractions, we need to first calculate the product of these fractions: (11/648) * (9/1375) To multiply fractions, you multiply the numerators together and the denominators together: (11*9)/(648*1375) Now, let's calculate the numerator and denominator separately: Numerator = 11*9 = 99 Denominator = 648*1375 = 891000 So, the product of the two fractions is 99/891000. Now, let's express this fraction as a decimal. To do that, we divide the numerator (99) by the denominator (891000): 99/891000 ≈ 0.000111 In the decimal form of the fraction, there are 3 zeros between the decimal point and the first non-zero digit (1). Therefore, the correct answer is: 3
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