# Numbers Basics 1/2

7.  The largest number of four digits exactly divisible by 77 is
a.   9768
b.  9933
c.  9988
d.  9944

8. The number of distinct prime factors of ${2^{2}} \times {3^{5}} \times {5^{4}}$
a. 3
b. 11
c. 90
d. 5

9.  The general format of a prime number $k$ greater than equal to 5 is
a.  $5k + 1$
b.  $6k + 1$
c.  $6k - 1$
d.  Both $B$ and $C$

10.  The remainder when square of a prime number greater than equal to 5 divided by 6 is
a.  4
b.  1
c.  5
d.  Both $B$ and $C$

11.  The number of distinct prime factors of $9!$
a. 9
b. 4
c. 80
d. 160

12.  The number of even numbers and 3 multiples from 20 to 90 (both inclusive) are respectively
a.   35, 24
b.   36, 24
c.   35, 23
d.   36, 23

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