41.  Which one of the following numbers is completely divisible by 45?

181560
331145
202860
2033550

```Answer

Answer: Option  C Explanation:45 = 5*9, where 5 and 9 are co- primes.
Unit digit must be 0 or 5 and sum of digits must be divisible by 9.
Among given numbers, such number is 202860. ```

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42.  The unit digit in the product (784*618*917*463) is?

2
3
4
5

```Answer

Answer: Option  A Explanation:Unit digit in the given product = unit digit in (4*8*7*3) =2 ```

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43.  (963+476)^2 + (963 - 476)^2/ (963*963+476*476) = ?

2
1449
497
4

```Answer

Answer: Option  A Explanation:Given exp = (a+b)^2 + (a-b)^2/a^2+b^2) = 2(a^2+b^2)/(a^2+b^2) = 2. ```

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44.  1397*1397 =?

1951609
1981709
18362619
2031719

```Answer

Answer: Option  A Explanation:1397*1397 = (1397)^2 = (1400 - 3)^2
=(1400)^2 + 3^2 - 2* 1400 * 3 = 1960000 + 9 - 8400
=1960009 - 8400 = 1951609.  ```

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45.  (4300731) - ? = 2535618

1865113
1775123
1765113
1675123

```Answer

Answer: Option  C Explanation:Let  4300731 - x = 2535618                                                                       4300731 - 2535618 = 1765113.
Then, x = 4300731 - 2535618 = 1765113.                ```

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