Number System The sum of two numbers is 165 and the difference between them is 9. What is the average of these two numbers ? 85.5 83.5 84.5 82.5 85.5 83.5 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
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? 2 1 3 0 2 1 3 0 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Number = 269 * 68 + 0 = 1829267) 18292 (273 18291 -------- 1Required number = 1.
Number System The number of prime factors of (6)10×(7)17×(55)27 101 91 61 41 101 91 61 41 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 91
Number System Find the greatest number which leaves the same remainder when it divides 25, 57 and 105. 12 8 16 18 12 8 16 18 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 105 - 57 = 4857 - 25 = 32105 - 25 = 80The H.C.F of 32, 48 and 80 is 16.
Number System Radha's present age is three years less than twice her age 12 years ago. Also the respective ratio between Raj's present age and Radha's present age is 4 : 9. What will be Raj's age after 5 years ? 15 years 14 years 16 years 17 years 15 years 14 years 16 years 17 years ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let Radha's present age = x years.∴ x = 2 (x = 12) - 3= x = 2x - 24 - 3= x = 27∴ Raja's present age = 4/9 x 27= 12 years ∴ Raja's age after 5 years = 12 + 5 = 17 years
Number System What number should come in the place of (?) in the following number series ? 1, 4, 9, 25, 49, ?, 169, 289, 361 225 121 321 11 225 121 321 11 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP The series is (Prime No.)²So it is (11)² = 121