Number System The sum of five consecutive numbers is 190. What is the sum of the largest and the smallest number ? 76 73 74 75 76 73 74 75 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP x + x + 1 + x + 2 + x + 3 + x + 4= 190= 5x + 10 = 190= 5x = 190 - 10 = 180= x = 180/5 = 36The largest number = 36 + 4 = 40∴ Required sum = 36 + 40 = 76
Number System The difference between a two-digit number and the number obtained by interchanging the two digits is 63. Which is the smaller of the two numbers? 29 Cannot be determined 92 70 29 Cannot be determined 92 70 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the ten's digit be x and units digit by y.Then,(10x + y) - (10y + x) = 639(x - y) = 63x - y = 7Thus, none of the numbers can be determined.
Number System The product of two natural numbers is 17. Then, the sum of the reciprocals of their squares is: 290/289 289/290 1/289 289 290/289 289/290 1/289 289 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the numbers be a and b. Then,ab = 17, a = 1 and b = 17So, 1/a2 + 1/b2 = (a2 + b2)/a2 b2 = (12 + 172)/(1 * 17)2 = 290/289
Number System Two numbers have a H.C.F of 16 and a product of two numbers is 2560. Find the L.C.M of the two numbers? 140 160 170 150 140 160 170 150 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP L.C.M of two numbers is given by(Product of the two numbers) / (H.C.F of the two numbers) = 2560/16 = 160.
Number System 20% of the total number of students in a school play football. How many students do not play football if the total number of students in the school is 7600 ? 5800 6000 5976 6080 5800 6000 5976 6080 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 20% of 7600 = 1520Therefore, students who do not play football = 7600 - 1520 = 6080
Number System 4/6 of 6/5 of 5/7 of a number is 96. Find the number. 170 164 162 168 170 164 162 168 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be x.∴ x x 4/6 x 6/5 x 5/7 = 96∴ x = 96 x 6 x 5 x 7/4 x 6 x 5 = 168
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