CAT Exam

Q. How many three digit numbers are there such that one of the digits is the arithmetic mean of the other two?

Option
(1) 120
(2) 112
(3) 121
(4) 129

Read Solution (Total 1)

121. 3 digit numbers that can be formed are 3!. So total 20*6=120 ways. From that, (0,2,4),(0,4,2)...(0,1,2),(0,2,1) are to be excluded. So, 120-8+9=121.
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CAT Other Question

Q. How many four-digit numbers, which are divisible by 15, are there such that the number 15 occurs in them?

Option
(1) 39
(2) 40
(3) 41
(4) 42 Q. What is the sum of the total surface areas of all the cubes formed when a cuboid of size 5.2 m x 13 m x 39 m is cut completely into the least possible number of cubes, all of which are identical?

Option
(1) 6164 sq.m
(2) 30452 sq.m
(3) 6760 sq.m
(4) 6084 sq.m