# Surds and Indices- Aptitude Questions and Answers - in Hindi

 (16)9 / (16)4 * (16)3 = (16)? A) 6.75 B) 8 C) 10 D) 12 Correct Answer : 8 Explanation :(16)9 / (16)4 * (16)3 =>(16)9-4 * (16)3 =>(16)5 * (16)3 =>(16)5+3 =>(16)8 ? = ∛103823 A) 49 B) 51 C) 45 D) 47 Correct Answer : 47 Explanation :(n√a )n= a (am)n = amn ? = ∛103823 ? = ∛(47) 3 ? = [(47)3]1/3 ? = 473 x 1/3 ? = 47 If xm .yn = 7889, where x and y are prime numbers, the value of x + y is ? यदि xm .yn = 7889 है, जहां x और y मूल संख्या हैं, x + y का मान क्या है ? A) 30 B) 60 C) 100 D) 120 Correct Answer : 30 Explanation :xm.yn = 7889 xm.yn = 73 × 231 hence, x and y are 7 and 23 thus x + y = 30 Which of the following is the greatest? निम्नलिखित में से कौन सा सबसे बड़ा है A) 333333 B) 333333 C) 333333 D) 333333 Correct Answer : 333333 Explanation :333333 is the greatest number. Determine a possible value of x from the equation 5x-2 X 23x/(x+1) = 4 ? समीकरण 5x-2 X 23x/(x+1) = 4 से x का संभावित मान ज्ञात करें? A) 1 B) 2 C) 0 D) 4 Correct Answer : 2 Explanation :5x- 2 X 23x/(x + 1) = 4 5x- 2 X 23x/(x + 1) = 50 * 22 Equation the indicates of equal bases, x - 2 = 0 and 3x/(x + 1) = 2 From both these questions x = 2 If 0.42 * 100K = 42, then what is the value of K? यदि 0.42*100K=42 हो तो, K का मान कितना है? A) 4 B) 2 C) 1 D) 3 Correct Answer : 1 Explanation :0.42 * 100K = 42 (42/100) * 100K = 42 100K = (42*100)/42 100K = 100 100K = 1001 K=1 What is the value of (443+547)2 + (443-547)2 / (443*443) + (547*547) ? (443+547)2 + (443-547)2 / (443*443) + (547*547) का मान क्या है? A) 0 B) 1 C) 2 D) 3 Correct Answer : 2 Explanation :(443+547)2 + (443-547)2 / (443*443) + (547*547) = (4432 + 5472 + 2*443*547) + (4432 + 5472 - 2*443*547) / (4432 + 5472) = 2*(4432 + 5472 ) / (4432 + 5472) = 2