Number System What will be the next number in the following number series ? 177 191 182 162 177 191 182 162 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 1² + 1, 3² + 3, 5² + 5, 7² + 7
Number System In how many different ways can the letters of word 'BIOLOGY' be arranged ? 2520 2410 2678 2367 2520 2410 2678 2367 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP In BIOLOGY total 7 letters are there but O comes twice.∴ Number of arrangements = 7!/2! = 2520
Number System Difference between two numbers is 5, six times of the smaller lacks by 6 from the four times of the greater. Find the numbers? 12, 9 10, 5 12, 7 11, 6 12, 9 10, 5 12, 7 11, 6 ANSWER DOWNLOAD EXAMIANS APP
Number System When 732 is subtracted form the square of a number, the answer that is obtained is 5280. What is the number? 101 99 97 103 101 99 97 103 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP x2 - 732 = 5280 x2 = 5280 + (70+3)2 = 5280 + 4900 + 420 + 9 = 10609= 10000 + 2(100)(3) + 32 = (100 + 3)2x = 100 + 3 = 103.
Number System The sum of the two digits of a two-digit number is 15 and the difference between the two digits of the two digit number is 3. What is the product of the two digits of the two digit number ? 54 14 None of these 36 54 14 None of these 36 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be 10 x + yWhere x > yAccording to the question,x + y = 15 and x - y = 3Solving both the equations,x = 9, y = 6∴ x x y = 9 x 6 = 54
Number System If the of a two-digit number are interchanged, the number so obtained is greater than the original number by 18. If the sum of the two digits of the number is 14. What is the original number ? 64 66 68 62 64 66 68 62 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the no. be 10x + y.No. formed by the interchange of digits = 10y + xWe have y - x = 2 .........(i)y + x = 14 .........(ii)Solving (i) and (ii), we get x = 6, and y = 8∴ the no. is 68.