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SSC CGL 2023 PYQ — Question 67

SSC CGL - 18 July 2023 - Shift 1 • Quantitative Aptitude • Q67

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Simplify the given expression.

(326+222)2−(326−222)2(326×222)\frac{(326 + 222)^{2} - (326 - 222)^{2}}{(326\times222)}

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Correct answer: D

Explanation

 The correct answer is Option 4 i.e. 4.

(326+222)2−(326−222)2(326×222)\frac{(326 + 222)^{2} - (326 - 222)^{2}}{(326\times222)}

⇒ (326+222+326−222)(326+222−326+222)(326×222)\frac{(326 + 222+326-222)(326 + 222-326+222)}{(326\times222)}

⇒ (652)(444)(326×222)\frac{(652)(444)}{(326\times 222)}  

⇒ 2 × 2 = 4