Number System If 2^(2x-1) = 8^(3-x), then the value of x is: 9 6 5 2 9 6 5 2 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 2
Number System The sum of two numbers is 25 and their difference is 13. Find their product. 325 114 104 315 325 114 104 315 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the numbers be x and y. Then x + y = 25 and x - y = 13.x = 19; y = 6xy = 19 * 6 = 114
Number System Which one of the following represents the sum of the first n even numbers? N2+ 1 N(N + 1) N(N – 1) N2 N2+ 1 N(N + 1) N(N – 1) N2 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP N (N + 1)
Number System The sum of the two numbers is 12 and their product is 35. What is the sum of the reciprocals of these numbers? 1/35 12/35 7/32 35/8 1/35 12/35 7/32 35/8 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the numbers be a and b. Then,a + b = 12 and ab = 35.(a + b)/ab = 12/35= (1/b + 1/a) = 12/35Sum of reciprocals of given numbers = 12/35.
Number System If the sum and difference of two numbers are 20 and 8 respectively, then the difference of their square is: 160 180 12 28 160 180 12 28 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the numbers be x and y. Then, x + y = 20 and x - y = 8x2 - y2 = (x + y)(x - y) = 20 * 8 = 160.
Number System The difference between a two-digit number and the number obtained by interchange the two digits of the number is 27. If the sum of the two digits of the number is 13, what is their product ? 38 37 40 39 38 37 40 39 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be 10x + y.∴ 10x + y - (10y + x) = 27or 9x - 9y = 27∴ x - y = 3 .......(I)x + y = 13 .......(II)From eqn (I) and (II)x = 8 and y = 5.So the number = 85Therefore, product = 8 x 5 = 40
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