Number System Find the least number when successively divided by 2, 3 and 7 leaves remainders 1, 2 and 3 respectively? 67 61 65 75 67 61 65 75 ANSWER DOWNLOAD EXAMIANS APP
Number System The average of 7 consecutive even numbers A, B, C, D, E, F and G is 36. What is the product of ' C and 'E' ? 1468 1292 1168 1327 1468 1292 1168 1327 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP A + B + C + D + E + F + G/7 = 36Therefore, D = 36Therefore, C = 34, E = 38Therefore, Product = 34 x 38 = 1292
Number System If a + b = 16 and ab = 68, what is the value of a² + b² ? 124 116 112 120 124 116 112 120 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 96% of a number is 19584. What is 56% of that number ? 11324 11424 11224 11524 11324 11424 11224 11524 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be x.According to the question.96% of x = 19584= x = 1958 x 100/96 = 20400∴ 56% of 20400= 20400 x 56/100= 11424
Number System In how many different ways can the letters of the word TEST' be arranged ? 12 16 10 8 12 16 10 8 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP The word TEST consists of 4 letters in which T comes twice ∴ Number of arrangements= 4!/2! = 4 x 3 x 2 x 1/2 x 1 = 12
Number System In a two-digit number, the digit in unit's place is two more than three times the digit in ten's place. If the sum of the two digits is 10, what is the number ? 18 28 22 24 18 28 22 24 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be 10x + y.∴ y = 3x + 2 .......(i)And, x + y = 10 ......(ii)From (i) and (ii), x = 2, y = 8∴ Number = 28