Number System If the numerator of a fraction is decreased by 12.5% and the denominator is increased by 180% the resultant fraction is 1/2. What is the original fraction ? 1/5 8/5 7/5 3/5 1/5 8/5 7/5 3/5 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the original fraction be x/y.∴ x x 87.5/100/y x 280/100 = 1/2or 87.5x/280y = 1/2∴ 175x = 280y∴ x/y = 280/175 = 8/5
Number System What is the least number that should be added to 5200 to make it a perfect square ? 288 225 129 275 288 225 129 275 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP We sec (73)² = 5329 and (72)² = 5184ie 5329 > 5200 > 5184So 129 should be added to make is perfect square.
Number System A man engaged a servant on the condition that he would pay him Rs.900 and a uniform after one year service. He served only for 9 months and received uniform and Rs.650, find the price of the uniform? Rs.100 Rs.85 Rs.90 Rs.80 Rs.100 Rs.85 Rs.90 Rs.80 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 9/12 = 3/4 * 900 = 675 650 ------------- 251/4 -------- 251 --------- ? => Rs.100
Number System The sum and the product of two numbers are 25 and 144 respectively, the difference of the number is? 7 11 3 5 7 11 3 5 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 Three times the first of three consecutive odd integers is 3 more than twice the third. The third integer is: 11 15 9 13 11 15 9 13 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the three integers be x, x + 2 and x+ 4.Then,3x = 2(x + 4) + 3x = 11Third integer = x + 4 = 15.
Number System What should come in place of question mark (?) in the following number series ? 7, 176, 480, 1058, 2188, 4426, ? 8881 8882 8884 8888 8881 8882 8884 8888 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Series is (No. + 9²) x 2, (+8²) x 2, (+7²) x 2, (+6²) x 2.......