1. Certain 3-digit numbers have following characteristics:
There are four such numbers: 168, 861 and 259, 952. To find such numbers first list down all 3 digits divisible by 7. This will generate a large set. In this set remove those whose all digits are not different. Among the remaining ones look for the reverse digits pairings like the two pairs shown here.
(b) 4
It is given that statement 4 is true i.e. some colours are not pleasant. Now if some colours are not pleasant then its corollary is that some of them are pleasant.
Now let us evaluate rest of the three statements:
5. The age of Mr. X last year was the square of a number and it would be the cube of a number next year. What is the least number of years he must wait for his age to become the cube of a number again?
(a) 42
(b) 38
(c) 25
(d) 16
Solution:
According to first statement of question his current age is 26 years.
(5)2=25←26→27=(3)3
Next cube of a number after 27 = 64
Required difference = 64 – 26 = 38
(b) 38
General Studies Political Science and International Relations
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