Number System If a + b = 16 and ab = 68, what is the value of a² + b² ? 112 116 120 124 112 116 120 124 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 If the three fourth of a number is subtracted from the number; the value so, obtained is 163. What is that number ? 678 689 652 692 678 689 652 692 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Number x (1 - 3/4) = 163∴ Number = 163 x 4 = 652
Number System If the numerator of a fraction is decreased by 12.5% and the denominator is increased by 180% the resultant fraction is 1/2. What is the original fraction ? 1/5 7/5 3/5 8/5 1/5 7/5 3/5 8/5 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the original fraction be x/y.∴ x x 87.5/100/y x 280/100 = 1/2or 87.5x/280y = 1/2∴ 175x = 280y∴ x/y = 280/175 = 8/5
Number System 728.038 x 54.978 - 72.016 x 85.250 = ? 23900 53900 43900 33900 23900 53900 43900 33900 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP ? = 728 x 55 - 72 x 85.25 = 40040 - 6138 = 339900
Number System The sum of 8 consecutive odd numbers is 656. Also average of four consecutive even numbers is 87. What is the sum of the smallest odd number and second largest even number ? 163 167 158 160 163 167 158 160 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Average of 8 consecutive odd numbers = 656/8 = 82∴ Fourth number = 82 - 1 = 81∴ First numbers = 75Average of 4 even numbers = 87∴ Second even number = 87 - 1 = 86Second largest even number = 88∴ Required sum = 75 + 88 = 163
Number System The difference between 78% of a number and 59% of the same number is 323. What is 62% of that number ? Rs. 926 Rs. 945 Rs. 986 Rs. 1054 Rs. 926 Rs. 945 Rs. 986 Rs. 1054 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be x.78% of x - 59% of x = 323= 78x - 59x/100 = 323= 19x/100 = 323∴ x = 323 x 100/19 = 1700= 62% of 1700 = 1700 x 62/100 = 1054
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