Number System If a + b = 16 and ab = 68, what is the value of a² + b² ? 116 120 112 124 116 120 112 124 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 difference between 45% of a number and 18% of the same number is 145.8. What is 30% of that number ? 162 245 188 141 162 245 188 141 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be x.45% of x - 18% of x = 145.8∴ x/100 (45 - 18) = 145.8∴ x = 145.8 x 100/27 = 540∴ 30% of 540 = 540 x 30/100 = 162
Number System What is the sum of the local values of the digits 2, 3, 4, 5 in the number 2345? 5243 2105 2435 2345 5243 2105 2435 2345 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 2000 + 300 + 40 + 5 = 2345
Number System What value should come in place of ? in the given number series ? 15, 51, 162, 498, 1509, ? 3434 4545 5656 7878 3434 4545 5656 7878 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 15, (15 + 2) x 3 = 51,(51 + 3) x 3 = 162, (162 + 4) x 3 = 498, (498 + 5) x 3 = 1509(1509 + 6) x 3 = 4545
Number System Supply the missing figure : 2, 6, 12, 20, 30 ... 56 42 41 40 39 42 41 40 39 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 42
Number System The average of 7 numbers is 15, that of the first three is 6 and that of the last three is 23. What is the fourth number? 13 15 7 18 13 15 7 18 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 4th No. = (Total of 7 Nos) - (Total of first three + total of last 3) = (15 x 7) - (6 x 3 + 23 x 3) = 105 - (18 + 69) =105 - 87 = 18
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