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 the least number when successively divided by 2, 3 and 7 leaves remainders 1, 2 and 3 respectively? 61 75 67 65 61 75 67 65 ANSWER DOWNLOAD EXAMIANS APP
Number System The sum of 8 consecutive odd numbers is 656. Also average of four consecutive even numbers is 87. What is the sum of the smallest odd number and second largest even number ? 160 158 167 163 160 158 167 163 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Average of 8 consecutive odd numbers = 656/8 = 82∴ Fourth number = 82 - 1 = 81∴ First numbers = 75Average of 4 even numbers = 87∴ Second even number = 87 - 1 = 86Second largest even number = 88∴ Required sum = 75 + 88 = 163
Number System If the numberator of a fraction is increased by 50% and denominator by 20% the fraction become 9/15. What was the original fraction ? 6/7 13/25 12/25 3/5 6/7 13/25 12/25 3/5 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the fraction be x/yWe have 150x/120y = 9/15= x/y = 12/25
Number System Twenty times a positive integer is less than its square by 96. What is the integer? Cannot be determined 24 20 30 Cannot be determined 24 20 30 ANSWER DOWNLOAD EXAMIANS APP
Number System If (83)² is subtracted from the square of a number, the answer so obtained is 8487. What is the number ? 179 124 146 163 179 124 146 163 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be x Therefore, x² - (83)² = 8487x² = 8487 + (83)²x² = 8487 + 6889x² = 15376Therefore, x² = 15376 x = 124
EXAMIANS