TCS Company Numerical Ability Percentage

A number when divided by a certain divisor left a remainder of 14 but when the number was multiplied by 6 and then divided by the same divisor, the remainder was 15. Find the divisor, if it leaves a remainder of 7 when divided by 8.
(1) 39 (2) 69 (3) 23 (4) Data inconsistent

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TCS Other Question

. Rahul has a pencil box that has a volume of 100 cm2. If it is (in cm) known that the box is cuboidal in shape, the length of whose sides are integers, then find the maximum possible length of a pencil that will always fit in the box. Neglect the thickness of the pencil.
(1) 129 cm (2) 66 cm (3) 2505 cm (4) 10002 cm
An old grandpa was asked about his age. His reply was, “My son’s age in weeks is equal to my grandson’s age in days and my grandson’s age in months is equal to my age in years.” The sum of the ages of the three of them is 100 years. How old is the grandpa?
(1) 60 years (2) 65 years (3) 70 years (4) Cannot be determined