Number System Find the greatest four digit number which leaves respective remainders of 2 and 5 when divided by 15 and 24. 9125 9974 9565 None of these 9125 9974 9565 None of these ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Since the difference between the divisors and the respective remainders is not constant, back substitution is the convenient method. None of the given numbers is satisfying the condition.
Number System In how many different ways can the letters of the word TEST' be arranged ? 12 10 8 16 12 10 8 16 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP The word TEST consists of 4 letters in which T comes twice ∴ Number of arrangements= 4!/2! = 4 x 3 x 2 x 1/2 x 1 = 12
Number System Find out the smallest possible number which will be divisible by 1122 as well as 153. 4366 2366 1366 3366 4366 2366 1366 3366 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 3366
Number System Ratio between two numbers is 3: 4 and their sum is 420. Find the smaller number? 140 160 180 240 140 160 180 240 ANSWER DOWNLOAD EXAMIANS APP
Number System The product of two natural numbers is 17. Then, the sum of the reciprocals of their squares is: 1/289 289/290 289 290/289 1/289 289/290 289 290/289 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 I. 3x2-14x + 8 = 0 II. 2y2 - 1 7 y + 36 = 0 if x > y if x < y if x <= y if x >= y if x > y if x < y if x <= y if x >= y ANSWER EXPLANATION DOWNLOAD EXAMIANS APP l. 3x2 - 12x - 2x + 8 = 0or 3x(x - 4) -2 (x -4) = 0∴ x = 4, 2/3ll. 2y2 - 8y - 9y + 36 = 0or 2y (y - 4) -9 (y - 4) = 0or (2y - 9) (y - 4) = 0∴ y = 4, 9/2
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