1
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Question

# Find a rational number between 37 and 23.

A
1
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B
2
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C
1121
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D
921
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Solution

## The correct option is C 1121First let's make denominator of both 23 and 37 equal. LCM of 3 and 7 is 21. Multiplying both numerator and denominator of 37 by 3 we get 921. Similarly, multiplying both numerator and denominator of 23 by 7, we get 1421. So, we have to choose a rational number between 921 and 1421. Now, 1=2121 2=2×211×21=4221 Now, consider 1421, 921, 2121, 4221 and 1121. 921 < 1121 < 1421 < 2121 < 4221 ⇒ 37 < 1121 < 23 < 1 < 2 Hence, 1121 lies between 37 and 23.

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