Number System A number when divided by 221 gives a remainder 43, what remainder will be obtained by dividing the same number 17? 5 11 10 9 5 11 10 9 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 221 + 43 = 264/17 = 9 (Remainder)
Number System The sum and the product of two numbers are 25 and 144 respectively, the difference of the number is? 5 3 7 11 5 3 7 11 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 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.90 Rs.100 Rs.85 Rs.80 Rs.90 Rs.100 Rs.85 Rs.80 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 9/12 = 3/4 * 900 = 675 650 ------------- 251/4 -------- 251 --------- ? => Rs.100
Number System Sum of the digits number is 8 and their product is 12. Find the difference between the digits? None 4 2 6 None 4 2 6 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP x + y = 8xy = 12(x – y)2 = (x + y)2 – 4xy (x – y)2 = 64 – 48 => (x – y) = 4
Number System The sum of a number and its reciprocal is one-eighth of 34. What is the product of the number and its square root? 32 None of these 27 8 32 None of these 27 8 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be x. Then,x + 1/x = 34/8 8x2 - 34x + 8 = 0 4x2 - 17x + 4 = 0 (4x - 1)(x - 4) = 0 x = 4required number = 4 * √4 = 4 * 2 = 8.
Number System Sum of two numbers is 15. Two times of the first exceeds by 5 from the three times of the other. Then the numbers will be? 7, 8 10, 5 9, 6 6, 9 7, 8 10, 5 9, 6 6, 9 ANSWER DOWNLOAD EXAMIANS APP
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