Number System If a + b = 16 and ab = 68, what is the value of a² + b² ? 120 124 112 116 120 124 112 116 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP a + b = 16 Therefore, (a+b)² = (16)² = 256 a² + b² + 2ab = 256Therefore, a² + b² = 256 - 2 x 68Therefore, a² + b² = 256 - 136 = 120
Number System The average of five consecutive even numbers, p, q, r, s and t is 40. What is the product of 'r' and 's' ? 1680 1580 1480 1780 1680 1580 1480 1780 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the numbers be x, x + 2, x + 4, x + 6, and x + 8Avg = x + x + 2 + x + 4 + x + 6 + x + 8/5 = 40Therefore, 5x + 20 = 200Therefore, x = 180/5 = 36Therefore, r = x + 4 = 40 s = x + 6 = 42Therefore, Product = 1680
Number System The difference between a number and its three-fifth is 50. What is the number? 100 125 75 None of these 100 125 75 None of these ANSWER EXPLANATION DOWNLOAD EXAMIANS APP x - 3/5 x = 50 => 2/5 x = 50x = (50 * 5)/2 = 125.
Number System Three numbers are in ratio of 3: 4 :5. If the sum of first & third numbers is more than second number by 52, which will be largest number? 34 78 65 23 34 78 65 23 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 65
Number System On dividing number by 5, we get 3 as remainder. What will be the remainder when the square of this number is divided by 5? 4 0 2 1 4 0 2 1 ANSWER DOWNLOAD EXAMIANS APP
Number System On dividing number by 56, we get 29 as remainder. On dividing the same number by 8, what will be the remainder? 7 4 5 6 7 4 5 6 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let x be the number and y be the quotient. Then, x = 357 * y + 39= (17 * 21 * y) + (17 * 2) + 5= 17 * (21y + 2) + 5.Required remainder = 5.
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