SSC CHSL 2024 PYQ — Question 69

SSC CHSL - 10 July 2024 - Shift 2 • Quantitative Aptitude • Q69

If A = 916÷2536\frac{9}{16}\div\frac{25}{36}, B = 9÷[(16÷25)÷36]9\div[(16\div25)\div36], C = [9÷(16÷25)]÷36[9\div(16\div25)]\div36, D =(9÷16)÷(25÷36)(9\div16)\div(25\div36), then which of the following is true?

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Correct answer: D

Explanation

The correct answer is Option 4 i.e. A and D are equal.

⇒ A = 916÷2536\frac{9}{16}\div\frac{25}{36} 

⇒ A = 916×3625\frac{9}{16}\times\frac{36}{25} = 81100\frac{81}{100}

Now,

⇒ B = 9÷[(16÷25)÷36]9\div[(16\div25)\div36] 

⇒ B = 9÷169009\div{16\over900} 

⇒ B = 20254{2025\over4}

Now,

⇒ C = [9÷(16÷25)]÷36[9\div(16\div25)]\div36

⇒ C = 22516÷36{225\over16}\div36

⇒ C = 2564{25\over64}

Now,

⇒ D = (9÷16)÷(25÷36)(9\div16)\div(25\div36)

⇒ D = 916÷2536{9\over16}\div{25\over36}

⇒ D = 81100{81}\over{100}

Thus, A and D are equal