Number System How many numbers up to 200 are divisible by 2 and 3 both? 27 29 33 35 27 29 33 35 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 200/6 = 33 2/6 => 33 Numbers
Number System In how many ways can 5 boys be chosen from 6 boys and 4 girls so as to include exactly one girl ? 60 58 56 54 60 58 56 54 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP One girl can be chosen in 4C1 = 4 ways and 4 boys can be chosen in 6C4 = 15 ways ∴ Total number of ways = 4 x 15 = 60 ways.
Number System What is the value of ? in the following equations ? 72/? = ?/50 100 80 40 60 100 80 40 60 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP (?)² = 72 x 50= (6 x 6 x 2) x (5 x 5 x 2)= (6 x 5 x 2)² = (60)²∴ ? = 60
Number System 0.333 .... × 0.444 .... is equal to 0.121212 .... 1.333 .... 0.777 .... 0.148148148 .... 0.121212 .... 1.333 .... 0.777 .... 0.148148148 .... ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 0.148148148 ....
Number System How many of the following numbers are divisible by 132? 264, 396, 462, 792, 968, 2178, 5184, 6336 6 4 5 7 6 4 5 7 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 132 = 11 * 3 * 4Clearly, 968 is not divisible by 3None of 462 and 2178 is divisible by 4And, 5284 is not divisible by 11Each one of the remaining four numbers is divisible by each one of 4, 3 and 11.So, there are 4 such numbers.
Number System The sum of five consecutive numbers is 190. What is the sum of the largest and the smallest number ? 73 76 75 74 73 76 75 74 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
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