Number System Two third of three- fifth of one fourth of a number is 24, what is 30% of that number? 72 42 69 90 72 42 69 90 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP x * 2/3 * 3/5 * 1/4 = 24x = 240240 * 30/100 = 72
Number System The product of two natural numbers is 17. Then, the sum of the reciprocals of their squares is: 289/290 289 1/289 290/289 289/290 289 1/289 290/289 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the numbers be a and b. Then,ab = 17, a = 1 and b = 17So, 1/a2 + 1/b2 = (a2 + b2)/a2 b2 = (12 + 172)/(1 * 17)2 = 290/289
Number System The sum of the two digits of a two-digit number is 15 and the difference between the two digits of the two digit number is 3. What is the product of the two digits of the two digit number ? 36 54 14 None of these 36 54 14 None of these ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be 10 x + yWhere x > yAccording to the question,x + y = 15 and x - y = 3Solving both the equations,x = 9, y = 6∴ x x y = 9 x 6 = 54
Number System If the three fourth of a number is subtracted from the number; the value so, obtained is 163. What is that number ? 689 652 692 678 689 652 692 678 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Number x (1 - 3/4) = 163∴ Number = 163 x 4 = 652
Number System In how many different ways can the letters of word 'BIOLOGY' be arranged ? 2678 2367 2520 2410 2678 2367 2520 2410 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP In BIOLOGY total 7 letters are there but O comes twice.∴ Number of arrangements = 7!/2! = 2520
Number System A certain number when divided by 39 leaves a remainder 20, what is the remainder when the same number is divided by 13? 5 11 0 7 5 11 0 7 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 39 + 20 = 59/13 = 7 (Remainder)