Number System (√6 + 1)² = ? + 2√6 6 5 8 7 6 5 8 7 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP ? = (√6 + 1)² - 2√6= (√6)² + 2 x √6 + 1 + 1² - 2√6= 6 + 2√6 + 1 - 2√6 = 6 + 1 = 7
Number System Sum of the digits number is 8 and their product is 12. Find the difference between the digits? None 4 2 6 None 4 2 6 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP x + y = 8xy = 12(x – y)2 = (x + y)2 – 4xy (x – y)2 = 64 – 48 => (x – y) = 4
Number System The sum of two numbers is 165 and the difference between them is 9. What is the average of these two numbers ? 83.5 85.5 84.5 82.5 83.5 85.5 84.5 82.5 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP x + y = 165x - y = 92x = 174 ∴ x = 87 and y = 78∴ x + y/2 = 165/2 = 82.5
Number System If A + B = 30 and AB = 94, What is the value of A² + B² ? 625 712 824 920 625 712 824 920 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP (A + B)² = (30)² = 900A² + B² + 2AB = 900Therefore, A² + B² = 900 - 2 x 94 = 900 - 188 = 712
Number System 68375 + 72848 - ? = 34346 + 49569 59308 57308 None of these 58308 59308 57308 None of these 58308 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP ? = 68375 + 72848 - 34346 - 49569 = 141223 - 83915 = 57308
Number System A shopkeeper purchased 200 bulbs for Rs. 10 each. However, 5 bulbs were fused and had to be thrown away. The remaining were sold at Rs. 12 each. What will be percentage profit? 21 17 33 14 21 17 33 14 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 12
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