Number System In how many different ways can be the letters of the word PENCIL be arranged among themselves ? 860 640 510 720 860 640 510 720 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Total six letters are there and hence the number of arrangements = 6! = 6 x 5 x 4 x 3 x 2 x 1 = 720
Number System One-eighth of a number is 76. What will be 54% of the number ? 321.32 318.32 328.32 332.32 321.32 318.32 328.32 332.32 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the no. be x Therefore, 1/8 of x = 76Therefore, x = 60854% of 608 = 608 x 54/100 = 328.32
Number System What is the sum of all the prime numbers from 20 to 40? 119 118 117 120 119 118 117 120 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 23 + 29 + 31 + 37 = 120
Number System Sum of square of first number and cube of second number together is 568. Also square of the second number is 15 less than square of 8. What is the value of three-fifth of the first number ? 7 9 8 6 7 9 8 6 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the first number be x and the second number be y.∴ y² = 82 - 15 = 64 - 15 = 49∴ y = 7∴ x² + 73 = 568= x² + 343 = 568= x² + 568 - 343 = 225∴ x = √225 = 15∴ 15 x 3/5 = 9
Number System The difference between 45% of a number and 18% of the same number is 145.8. What is 30% of that number ? 162 245 141 188 162 245 141 188 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be x.45% of x - 18% of x = 145.8∴ x/100 (45 - 18) = 145.8∴ x = 145.8 x 100/27 = 540∴ 30% of 540 = 540 x 30/100 = 162
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