Number System What least number shall be added to 4700 to make it a perfect square ? 71 61 91 81 71 61 91 81 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP (69)² = 4761 and (68)² = 4624Clerly 4624 < 4700 < 4761So 61 should be added to make 4700 a perfect square.
Number System Find the number, when 15 is subtracted from 7 times the number, the result is 10 more than twice of the number 5 7.5 15 4 5 7.5 15 4 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be x.7x -15 = 2x + 10 => 5x = 25 => x = 5
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 ? 6383 6363 6353 6373 6383 6363 6353 6373 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 In how many different ways can the letters of the word ANATOMY be arranged ? 2504 2508 2510 2520 2504 2508 2510 2520 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Here total letters are 7 but A comes twice.Therefore, Numbers of arrangements = 7!/2! = 2520
Number System If the sum of the two numbers is 22 and the sum of their squares is 404, then the product of the numbers is: 88 44 40 80 88 44 40 80 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the numbers be x and y. Then, (x + y) = 22 and x2 + y2 = 404 Now, 2xy = (x + y)2 - (x2 + y2) 2xy= 222 - 404 = 484 - 404 = 80xy = 40
Number System Sum of square of first number and cube of second number together is 568. Also square of the second number is 15 less than square of 8. What is the value of three-fifth of the first number ? 9 8 7 6 9 8 7 6 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the first number be x and the second number be y.∴ y² = 82 - 15 = 64 - 15 = 49∴ y = 7∴ x² + 73 = 568= x² + 343 = 568= x² + 568 - 343 = 225∴ x = √225 = 15∴ 15 x 3/5 = 9
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