# Aptitude - Numbers

### Exercise :: Numbers - General Questions

131.

A number when divided successively by 4 and 5 leaves remainders 1 and 4 respectively. When it is successively divided by 5 and 4, then the respective remainders will be

 A. 1, 2 B. 2, 3 C. 3, 2 D. 4, 1

Explanation:

``` 4 | x            y = (5 x 1 + 4) = 9
--------
5 | y -1         x = (4 x y + 1) = (4 x 9 + 1) = 37
--------
| 1 -4

Now, 37 when divided successively by 5 and 4, we get

5 | 37
---------
4 | 7 - 2
---------
| 1 - 3

Respective remainders are 2 and 3.
```

132.

8796 x 223 + 8796 x 77 = ?

 A. 2736900 B. 2638800 C. 2658560 D. 2716740 E. None of these

Explanation:

 8796 x 223 + 8796 x 77 = 8796 x (223 + 77)   [Ref: By Distributive Law ] = (8796 x 300) = 2638800

133.

8988 ÷ 8 ÷ 4 = ?

 A. 4494 B. 561.75 C. 2247 D. 280.875 E. None of these

Explanation:

 Given Exp. = 8988 x 1 x 1 = 2247 = 280.875 8 4 8

134.

287 x 287 + 269 x 269 - 2 x 287 x 269 = ?

 A. 534 B. 446 C. 354 D. 324 E. None of these

Explanation:

 Given Exp. = a2 + b2 - 2ab, where a = 287 and b = 269 = (a - b)2 = (287 - 269)2 = (182) = 324

135.

3 + 33 + 333 + 3.33 = ?

 A. 362.3 B. 372.33 C. 702.33 D. 702 E. None of these

Explanation:

```    3
+  33
+ 333
+   3.33
------
372.33
------
```

136.

Which one of the following can't be the square of natural number ?

 A. 30976 B. 75625 C. 28561 D. 143642 E. None of these

Explanation:

The square of a natural number nerver ends in 2. 143642 is not the square of natural number.

137.

(1000)9 ÷ 1024 = ?

 A. 10000 B. 1000 C. 100 D. 10 E. None of these

Explanation:

 Given Exp. = (1000)9 = (103)9 = (10)27 = 10(27-24) = 103 = 1000 1024 1024 1024

138.

{(476 + 424)2 - 4 x 476 x 424} = ?

 A. 2906 B. 3116 C. 2704 D. 2904 E. None of these