Number System The sum and the product of two numbers are 25 and 144 respectively, the difference of the number is? 7 3 5 11 7 3 5 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
Number System The difference between 68% of a number and 35% of the same number is 1216. What is 28% of the number ? 1037.75 1027.75 1031.75 1043.75 1037.75 1027.75 1031.75 1043.75 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the no. be xTherefore 68x / 100 - 35x / 100 = 1216 Therefore x = 1216 x 100 / 33Therefore 28% of x = 28x / 100 = 1216 x 100 / 33 x 28 / 100= 1216 x 100 x 28 / 33 x 1/100 = 1031.75
Number System If (47)² is added to the square of a number the answer thus obtained is 2290. What is the number ? 9 10 8 7 9 10 8 7 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the no. be x Therefore, x² + (47)² = 2290Therefore, x² = 2290 - 2209 = 81Therefore, x = 9
Number System The sum of the two numbers is 12 and their product is 35. What is the sum of the reciprocals of these numbers? 12/35 35/8 7/32 1/35 12/35 35/8 7/32 1/35 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the numbers be a and b. Then,a + b = 12 and ab = 35.(a + b)/ab = 12/35= (1/b + 1/a) = 12/35Sum of reciprocals of given numbers = 12/35.
Number System Given √2 = 1.414, the value of √8 + 2√32 - 3√128 + 4√50 is 8.584 8.784 8.684 8.484 8.584 8.784 8.684 8.484 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 8.484
Number System If (35)² is added to the square of a number the answer so obtained is 1394. What is the number ? 11 13 17 15 11 13 17 15 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be x Therefore, x² + (35)² = 1394Therefore, x² = 1394 - (35)² = 1394 - 1225 = 169Therefore, x = √169 = 13
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