Number System In how many different ways can the letters of word 'BIOLOGY' be arranged ? 2367 2410 2520 2678 2367 2410 2520 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 35 + 15 * 1.5 = ? 75 57.5 51.5 5.25 75 57.5 51.5 5.25 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Given Exp. = 35 + 15 * 3/2 = 35 + 45/2 = 35 + 22.5 = 57.5
Number System In a pair of fractions, fraction A is twice the fraction B and the product of two fractions is 2/25. What is the value of fraction A? 1/25 Data inadequate 1/5 2/5 1/25 Data inadequate 1/5 2/5 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP A = 2B => B = 1/2 A, so, AB = 2/25 1/2 A2 = 2/25A2 = 4/25 A = 2/5
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 If the sum of the two numbers is 22 and the sum of their squares is 404, then the product of the numbers is: 80 44 40 88 80 44 40 88 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 What is the difference between the largest and the smallest number written with 7, 7, 0, 7? 6893 693 6093 6993 6893 693 6093 6993 ANSWER DOWNLOAD EXAMIANS APP