Number System The difference between 45% of a number and 18% of the same number is 145.8. What is 30% of that number ? 141 245 162 188 141 245 162 188 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be x.45% of x - 18% of x = 145.8∴ x/100 (45 - 18) = 145.8∴ x = 145.8 x 100/27 = 540∴ 30% of 540 = 540 x 30/100 = 162
Number System The difference between a positive proper fraction and its reciprocal is 9/20. The fraction is: 3/10 3/5 4/5 5/4 3/10 3/5 4/5 5/4 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 1/x - x = 9/20 20x2 + 9x - 20 = 0 20x2 + 25x - 16x - 20 = 0 5x(4x + 5) -4(4x + 5) = 0(4x + 5)(5x - 4) = 0x = 4/5
Number System If (35)² is added to the square of a number the answer so obtained is 1394. What is the number ? 11 15 17 13 11 15 17 13 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 In an examination, 68% of the total examinees passed. If the number of failures is 248, the total number of examinees is 750 775 640 725 750 775 640 725 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Failed students are 32% which is 248.∴ Total = 24800/32 = 775
Number System What should come in place of the question mark (?) in the following number series ? 888 888 444 148 ? 7.4 37 35 29 33 37 35 29 33 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 888 ÷ 1 = 888888 ÷ 2 = 444444 ÷ 3 = 148148 ÷ 4 = 3737 ÷ 5 = 7.4
Number System Subtracting 30 from a number, the remainder is one fourth of the number. Find the number? 22 1/2 30 40 45 22 1/2 30 40 45 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 3/4 x = 30 => x = 40