Number System If (35)² is added to the square of a number the answer so obtained is 1394. What is the number ? 17 15 13 11 17 15 13 11 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
Number System 217 * 217 + 183 * 183 = ? 80578 79698 80698 81268 80578 79698 80698 81268 ANSWER DOWNLOAD EXAMIANS APP
Number System A two-digit number is such that the product of the digits is 8. When 18 is added to the number, then the digits are reversed. The number is: 42 24 81 18 42 24 81 18 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the ten's and unit's digit be x and 8/x respectively. Then, (10x + 8/x) + 18 = 10 * 8/x + x 9x2 + 18x - 72 = 0 x2 + 2x - 8 = 0 (x + 4)(x - 2) = 0 x = 2 So, ten's digit = 2 and unit's digit = 4. Hence, required number = 24.
Number System A, B, C, D and E are consecutive even numbers respectively. The average of 5 numbers is 82. What is the product of C and E ? 6373 6383 6353 6363 6373 6383 6353 6363 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP x + x + 1 + x + 2 + x + 3 + x + 4 = 5 x 82= 5x + 10 = 410 = 5x = 400= x = 400/5 = 80 ∴ A = 80C = 82and E = 84= C x E = 82 x 84 = 6383
Number System Two-third of a positive number and 25/216 of its reciprocal are equal. The number is: 144/25 25/144 12/5 5/12 144/25 25/144 12/5 5/12 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be x. Then,2/3 x = 25/216 * 1/xx2 = 25/216 * 3/2 = 25/144 x = 5/12
Number System Radha's present age is three years less than twice her age 12 years ago. Also the respective ratio between Raj's present age and Radha's present age is 4 : 9. What will be Raj's age after 5 years ? 16 years 14 years 15 years 17 years 16 years 14 years 15 years 17 years ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let Radha's present age = x years.∴ x = 2 (x = 12) - 3= x = 2x - 24 - 3= x = 27∴ Raja's present age = 4/9 x 27= 12 years ∴ Raja's age after 5 years = 12 + 5 = 17 years
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