Number System The sum of the two digits of a two-digit number is 15 and the difference between the two digits of the two digit number is 3. What is the product of the two digits of the two digit number ? None of these 14 36 54 None of these 14 36 54 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be 10 x + yWhere x > yAccording to the question,x + y = 15 and x - y = 3Solving both the equations,x = 9, y = 6∴ x x y = 9 x 6 = 54
Number System In how many different ways can be the letters of the word PENCIL be arranged among themselves ? 510 640 860 720 510 640 860 720 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 Three numbers are in ratio of 3: 4 :5. If the sum of first & third numbers is more than second number by 52, which will be largest number? 23 65 34 78 23 65 34 78 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 65
Number System The sum of the two numbers is 12 and their product is 35. What is the sum of the reciprocals of these numbers? 7/32 35/8 1/35 12/35 7/32 35/8 1/35 12/35 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the numbers be a and b. Then,a + b = 12 and ab = 35.(a + b)/ab = 12/35= (1/b + 1/a) = 12/35Sum of reciprocals of given numbers = 12/35.
Number System Thrice the square of a natural number decreased by 4 times the number is equal to 50 more than the number. The number is: 6 4 5 10 6 4 5 10 ANSWER DOWNLOAD EXAMIANS APP
Number System If (74)² is added to the square of a number the answer so obtained is 7780. What is the number ? 49 48 47 50 49 48 47 50 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be x.or, x² + (74)² = 7780or, x² = 7780 - 5476 = 2304∴ x = 48
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