Number System In how many different ways can the letters of the word TEST' be arranged ? 10 8 12 16 10 8 12 16 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP The word TEST consists of 4 letters in which T comes twice ∴ Number of arrangements= 4!/2! = 4 x 3 x 2 x 1/2 x 1 = 12
Number System On dividing a number by 68, we get 269 as quotient and 0 as remainder. On dividing the same number by 67, what will be the remainder? 0 2 3 1 0 2 3 1 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Number = 269 * 68 + 0 = 1829267) 18292 (273 18291 -------- 1Required number = 1.
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? Data inadequate 1/5 2/5 1/25 Data inadequate 1/5 2/5 1/25 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 What is the least number, which is perfect square but contains 2700 as its factor? 1800 10800 2700 5400 1800 10800 2700 5400 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 900 * 3 * 3 = 8100
Number System 1051.64 - 159.42 - 96.84 + 162.37 - 940.26 + 504 = ? 491.49 511.49 521.49 501.49 491.49 511.49 521.49 501.49 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP ? = 1718.01 - 1196.52 = 521.49
Number System The product of two consecutive odd numbers is 4095 What is the greater number ? 69 61 74 65 69 61 74 65 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the two consecutive odd numbers be 2x - 1 and 2x + 1.(2x - 1) (2x - 1) = 4095= 4x² - 1 = 4095= 4x² = 4096= x² = 1024∴ x = 32∴ The numbers are 63 and 65.Greater number = 65