Number System The sum of three consecutive even numbers is 252. What is the sum of the smallest and the largest numbers? 168 171 169 170 168 171 169 170 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 168
Number System If a + b = 16 and ab = 68, what is the value of a² + b² ? 124 120 116 112 124 120 116 112 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 A, B, C, D and E is 54. What is the product of'B' and 'E' ? 1456 2871 3016 4098 1456 2871 3016 4098 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Because, The even numbers are consecutive and their average is 54.∴ The number C will be 54.∴ A = 50, B = 52, D = 56, E = 58B x E = 52 x 58 = 3016
Number System In how many different ways can the letters of the word 'DETERMINE' be arranged ? 60480 62480 61480 63480 60480 62480 61480 63480 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP No. of arrangements = 9! / 3! Because, E comes 3 times = 60480
Number System On multiplying a number by 7, the product is a number each of whose digits is 3. The smallest such number is: 48619 47619 47649 47719 48619 47619 47649 47719 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP By hit and trail, we find that47619 * 7 = 333333.7) 333333 (47619 333333---------------- 0
Number System Find the greatest number which leaves the same remainder when it divides 25, 57 and 105. 18 12 16 8 18 12 16 8 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 105 - 57 = 4857 - 25 = 32105 - 25 = 80The H.C.F of 32, 48 and 80 is 16.
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