```
```41.If AB313AB (in decimal notation, where A, B are digits > 0) is divided by 12, then the smallest value of A + B is ?

a) 7

b) 6

c)3

d) 4

**Answer:**

**Explanation:**

```
```42) If a number 774958A95B is to be divisible by 4 and 9, the value of A and B respectively will be: ?

a) 7 and 6

b) 7 and 2

c) 8 and 2

d) 6 and 2

**Answer:**

**Explanation:**

```
``` 43)The digit in the units place of the number represented by (7^{95}-3^{58}

a)7

b)0

c)6

d)4

**Answer:**

**Explanation:**

```
``` 44)The digit in the units place of the number represented by (8^{43}-6^{55})?

a)2

b)4

c)0

d) 6

**Answer:**

**Explanation:**

```
```45) Every Sunday Mike jogs 3 miles and for the rest of the week, each day he jogs 1 mile more than the previous day. What is the number of miles mike jogs in 2 weeks [TCS] ?

a) 42 miles

b) 84 miles

c) 86 miles

d) 336 miles

**Answer:**

**Explanation:**

```
```46) The total number of prime factors of the product (8)^{20} + (15)^{24} + (17)^{15 }

a) 59

b)118

c)121

d) 123

**Answer:**

**Explanation:**

```
``` 47) The total number of prime factors of the product (6)^{10} + (35)^{20 }+ (11)^{ 30 }?

a) 100

b)15

c)90

d)80

**Answer:**

**Explanation:**

```
``` 48) Let P be the product of any three consecutive positive odd integers each of which is less than 146. Then the largest integer dividing all such P is ?

a) 6

b) 3

c) 5

d) 15

**Answer:**

**Explanation:**