Number System Find the greatest number which leaves the same remainder when it divides 25, 57 and 105. 12 8 18 16 12 8 18 16 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 105 - 57 = 4857 - 25 = 32105 - 25 = 80The H.C.F of 32, 48 and 80 is 16.
Number System On dividing number by 357, we get 39 as remainder. On dividing the same number by 17, what will be the remainder? 0 11 5 3 0 11 5 3 ANSWER DOWNLOAD EXAMIANS APP
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 30 years 29 years 28 years 31 years 30 years 29 years 28 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
Number System If a + b = 16 and ab = 68, what is the value of a² + b² ? 112 124 116 120 112 124 116 120 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 sum and the product of two numbers are 25 and 144 respectively, the difference of the number is? 7 5 3 11 7 5 3 11 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP x + y = 25xy = 144(x- y)2 = (x + y)2 – 4xy(x- y)2 = 625 – 576 => (x – y) = 7
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