Number System If the difference between the squares of two consecutive numbers is 47, what is the smaller number ? 26 25 23 24 26 25 23 24 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the numbers be (x + 1) and x.Therefore, (x + 1)² - x² = 47x² + 2x + 1 - x² = 472x + 1 = 47Therefore, x = 46/2 = 23
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 82.5 84.5 85.5 83.5 82.5 84.5 85.5 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 How many numbers up to 300 and 700 are divisible by 2, 3 and 7 both together? 8 9 10 11 8 9 10 11 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP (700 – 300)/42 = 9 22/42 => 9 Numbers
Number System A number is doubled and 9 is added. If the resultant is trebled, it becomes 75. What is that number? 3.5 8 6 None of these 3.5 8 6 None of these ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be x. Then,3(2x + 9) = 752x = 16 => x = 8
Number System If 70% of an equal to 40% of b, then ratio between a and b is? 4: 7 None 7: 4 7: 11 4: 7 None 7: 4 7: 11 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 70 a = 40 ba: b = 4: 7
Number System A number consists of two digits. If 3/5 of 1/5 of the number is 9. Find the sum of its two digits? 8 12 60 7 8 12 60 7 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP x * 3/5 * 1/5 = 9x = 75 => 7 + 5 = 12
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