Number System The difference of two numbers is 1365. On dividing the larger number by the smaller, we get 6 as quotient and 15 as remainder. What is the smaller number? 360 270 240 295 360 270 240 295 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the smallest number be x.Then larger number = (x + 1365)x + 1365 = 6x + 15= 5x = 1350 x = 270Smaller number = 270.
Number System In a division sum, the remainder is 0. As student mistook the divisor by 12 instead of 21 and obtained 35 as quotient. What is the correct quotient? 13 12 20 0 13 12 20 0 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Number = (12 * 35) = 420Correct quotient = 420/21 = 20
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 35/8 7/32 1/35 12/35 35/8 7/32 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 The difference between a positive proper fraction and its reciprocal is 9/20. The fraction is: 3/10 4/5 3/5 5/4 3/10 4/5 3/5 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 On dividing 2272 as well as 875 by 3-digit number N, we get the same remainder. The sum of the digits of N is: 11 10 12 13 11 10 12 13 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Clearly, (2272 - 875) = 1397, is exactly divisible by N.Now. 1397 = 11 * 127The required 3-digit number is 127, the sum of whose digit is 10.
EXAMIANS