Number System Which is the largest fraction among the following ? 21/23 24/25 12/13 21/22 21/23 24/25 12/13 21/22 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 21/23 = 0.913,12/13 = 0.92323/25 = 0.92, 21/22 = 0.9545, 24/25 = 0.96
Number System If a + b = 16 and ab = 68, what is the value of a² + b² ? 112 120 124 116 112 120 124 116 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP a + b = 16 Therefore, (a+b)² = (16)² = 256 a² + b² + 2ab = 256Therefore, a² + b² = 256 - 2 x 68Therefore, a² + b² = 256 - 136 = 120
Number System One-eighth of a number is 76. What will be 54% of the number ? 321.32 328.32 332.32 318.32 321.32 328.32 332.32 318.32 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the no. be x Therefore, 1/8 of x = 76Therefore, x = 60854% of 608 = 608 x 54/100 = 328.32
Number System If 2^(2x-1) = 8^(3-x), then the value of x is: 2 9 5 6 2 9 5 6 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 2
Number System If the sum of the two numbers is 22 and the sum of their squares is 404, then the product of the numbers is: 88 44 80 40 88 44 80 40 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the numbers be x and y. Then, (x + y) = 22 and x2 + y2 = 404 Now, 2xy = (x + y)2 - (x2 + y2) 2xy= 222 - 404 = 484 - 404 = 80xy = 40
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
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