Number System How many of the following numbers are divisible by 132? 264, 396, 462, 792, 968, 2178, 5184, 6336 6 4 7 5 6 4 7 5 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 132 = 11 * 3 * 4Clearly, 968 is not divisible by 3None of 462 and 2178 is divisible by 4And, 5284 is not divisible by 11Each one of the remaining four numbers is divisible by each one of 4, 3 and 11.So, there are 4 such numbers.
Number System 1051.64 - 159.42 - 96.84 + 162.37 - 940.26 + 504 = ? 501.49 521.49 491.49 511.49 501.49 521.49 491.49 511.49 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP ? = 1718.01 - 1196.52 = 521.49
Number System If (47)² is added to the square of a number the answer thus obtained is 2290. What is the number ? 8 10 7 9 8 10 7 9 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the no. be x Therefore, x² + (47)² = 2290Therefore, x² = 2290 - 2209 = 81Therefore, x = 9
Number System If (72)² is subtracted from the square of a number, the answer thus obtained is 4617. What is the number ? 95 99 92 103 95 99 92 103 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP x² - (72)² = 467Therefore, x² = 4617 + 5184Therefore, x² = 9801 Therefore, x = 99
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 ? 54 36 None of these 14 54 36 None of these 14 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 The average age of seven boys sitting in a row facing North is 26 years. If the average age of first three boys is 19 years and the average age of last three boys is 32 years, what is the age of the b 29 years 28 years 30 years 31 years 29 years 28 years 30 years 31 years ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Age of the fourth boy = (26 x 7 - 3 x 19 - 3 x 32) years = (182 - 57 - 96) years = 29 years