Number System The sum of two numbers is 165 and the difference between them is 9. What is the average of these two numbers ? 85.5 83.5 82.5 84.5 85.5 83.5 82.5 84.5 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP x + y = 165x - y = 92x = 174 ∴ x = 87 and y = 78∴ x + y/2 = 165/2 = 82.5
Number System In a two-digit number, if it is known that its unit's digit exceeds its ten's digit by 2 and that the product of the given number and the sum of its digits is equal to 144, then the number is: 24 26 46 42 24 26 46 42 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the ten's digit be x. Then, unit's digit = x + 2. Number = 10x + (x + 2) = 11x + 2 Sum of digits = x + (x + 2) = 2x + 2 (11x + 2)(2x + 2) = 144 2x2 + 26x - 140 = 0 (x - 2)(11x + 35) = 0 x = 2Hence, required number = 11x + 2 = 24.
Number System What should come in place of (?) in the following series ? 10, 19, 30, 43, 58, ? 77 78 75 76 77 78 75 76 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP The series is: +9, +11, +13, +15, +17
Number System Find the least number which when divided by 35 and 11 leaves a remainder of 1 in each case. 391 388 384 386 391 388 384 386 ANSWER DOWNLOAD EXAMIANS APP
Number System The average age of seven boys sitting in a row facing North is 26 years. If the average age of first three boys is 19 years and the average age of last three boys is 32 years, what is the age of the b 28 years 29 years 30 years 31 years 28 years 29 years 30 years 31 years ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Age of the fourth boy = (26 x 7 - 3 x 19 - 3 x 32) years = (182 - 57 - 96) years = 29 years
Number System How many numbers between 300 and 800 can be by using digits 2, 4, 5, 6 and 0 ? 52 36 56 48 52 36 56 48 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP ∴ Reqd . numbers = 3 x 4P2 = 3 x 12 = 36
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