Number System If a + b = 16 and ab = 68, what is the value of a² + b² ? 120 116 112 124 120 116 112 124 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 In how many different ways can the letters of word 'BIOLOGY' be arranged ? 2410 2520 2367 2678 2410 2520 2367 2678 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP In BIOLOGY total 7 letters are there but O comes twice.∴ Number of arrangements = 7!/2! = 2520
Number System 8988 / 8 / 4 = ? 4494 2247 561.75 280.875 4494 2247 561.75 280.875 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 8988 * 1/8 * 1/4 = 2247/8 = 280.875
Number System In how many different ways can the letters of the word ANATOMY be arranged ? 2510 2504 2520 2508 2510 2504 2520 2508 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Here total letters are 7 but A comes twice.Therefore, Numbers of arrangements = 7!/2! = 2520
Number System The sum of 8 consecutive odd numbers is 656. Also average of four consecutive even numbers is 87. What is the sum of the smallest odd number and second largest even number ? 160 167 158 163 160 167 158 163 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Average of 8 consecutive odd numbers = 656/8 = 82∴ Fourth number = 82 - 1 = 81∴ First numbers = 75Average of 4 even numbers = 87∴ Second even number = 87 - 1 = 86Second largest even number = 88∴ Required sum = 75 + 88 = 163
Number System 36% of 850+? % of 592 = 750 25 75 12.5 50 25 75 12.5 50 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 75
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