Number System Three times the first of three consecutive odd integers is 3 more than twice the third. The third integer is: 15 9 11 13 15 9 11 13 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the three integers be x, x + 2 and x+ 4.Then,3x = 2(x + 4) + 3x = 11Third integer = x + 4 = 15.
Number System In a two-digit number, if it is known that its unit's digit exceeds its ten's digit by 2 and that the product of the given number and the sum of its digits is equal to 144, then the number is: 46 42 26 24 46 42 26 24 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the ten's digit be x. Then, unit's digit = x + 2. Number = 10x + (x + 2) = 11x + 2 Sum of digits = x + (x + 2) = 2x + 2 (11x + 2)(2x + 2) = 144 2x2 + 26x - 140 = 0 (x - 2)(11x + 35) = 0 x = 2Hence, required number = 11x + 2 = 24.
Number System If (35)² is added to the square of a number the answer so obtained is 1394. What is the number ? 11 13 15 17 11 13 15 17 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be x Therefore, x² + (35)² = 1394Therefore, x² = 1394 - (35)² = 1394 - 1225 = 169Therefore, x = √169 = 13
Number System How many of the following numbers are divisible by 132? 264, 396, 462, 792, 968, 2178, 5184, 6336 6 5 7 4 6 5 7 4 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 If all the fractions 3/10, 1/16, 4/11, 2/9, 1/7, 5/14 and 5/24 arranged in descending order of their values, then which one will be the third? 1/16 4/11 2/9 3/10 1/16 4/11 2/9 3/10 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 3/10 = 0.3, 1/16 = 0.0625, 4/11 = 0.36, 2/9 = 0.22, 1/7 = 0.14, 5/14 = 0.36 and 5/24 = 0.214/11 > 5/14 > 3/10 > 2/9 > 5/24 > 1/7 > 1/163/10 will be the third.
Number System 17580 x 1.8 - 13720 x 2.1 = ? x 2.4 1160 1180 1120 1140 1160 1180 1120 1140 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 2.4 x ? = 31644 - 28812 = 2832∴ ? = 2832/2.4= 1180