Square Root and Cube Root problems are commonly found in quantitative aptitude tests. They involve finding the square root or cube root of a given number, which are the values that, when squared or cubed, respectively, result in the original number. These concepts are used in various mathematical calculations and real-world applications, like geometry, physics, and engineering.

## 1. Find the square root of 144.

a) 10

b) 11

c) 12

d) 13

### Answer:

c) 12

### Explanation:

```
The square root of 144 is the number that, when multiplied by itself, gives 144. √144 = 12.
```

## 2. What is the cube root of 216?

a) 5

b) 6

c) 7

d) 8

### Answer:

b) 6

### Explanation:

```
The cube root of 216 is the number that, when cubed, gives 216. ³√216 = 6.
```

## 3. Find the square root of 0.0081.

a) 0.09

b) 0.9

c) 0.009

d) 0.81

### Answer:

a) 0.09

### Explanation:

```
√0.0081 = 0.09, since 0.09 × 0.09 = 0.0081.
```

## 4. What is the smallest integer greater than the cube root of 2000?

a) 12

b) 13

c) 14

d) 15

### Answer:

b) 13

### Explanation:

```
³√2000 is slightly more than 12 but less than 13, so the smallest integer greater than ³√2000 is 13.
```

## 5. Find the square root of 1/49.

a) 1/5

b) 1/6

c) 1/7

d) 1/8

### Answer:

c) 1/7

### Explanation:

```
√(1/49) = √1/√49 = 1/7.
```

## 6. What is the cube root of 0.027?

a) 0.1

b) 0.2

c) 0.3

d) 0.4

### Answer:

c) 0.3

### Explanation:

```
³√0.027 = 0.3, since 0.3 × 0.3 × 0.3 = 0.027.
```

## 7. Find the square root of 3.24.

a) 1.7

b) 1.8

c) 1.9

d) 2.0

### Answer:

b) 1.8

### Explanation:

```
√3.24 = 1.8, since 1.8 × 1.8 = 3.24.
```

## 8. What is the cube root of 10648?

a) 20

b) 21

c) 22

d) 23

### Answer:

c) 22

### Explanation:

```
³√10648 = 22, since 22 × 22 × 22 = 10648.
```

## 9. Find the square root of 0.0009.

a) 0.01

b) 0.02

c) 0.03

d) 0.04

### Answer:

c) 0.03

### Explanation:

```
√0.0009 = 0.03, since 0.03 × 0.03 = 0.0009.
```

## 10. What is the smallest integer less than the cube root of 500?

a) 7

b) 8

c) 9

d) 10

### Answer:

b) 8

### Explanation:

```
³√500 is slightly less than 9 but more than 8, so the smallest integer less than ³√500 is 8.
```

## 11. Find the square root of 1024.

a) 30

b) 31

c) 32

d) 33

### Answer:

c) 32

### Explanation:

```
√1024 = 32, since 32 × 32 = 1024.
```

## 12. What is the cube root of 2744?

a) 12

b) 13

c) 14

d) 15

### Answer:

c) 14

### Explanation:

```
³√2744 = 14, since 14 × 14 × 14 = 2744.
```

## 13. Find the square root of 2.25.

a) 1.4

b) 1.5

c) 1.6

d) 1.7

### Answer:

b) 1.5

### Explanation:

```
√2.25 = 1.5, since 1.5 × 1.5 = 2.25.
```

## 14. What is the cube root of 729?

a) 8

b) 9

c) 10

d) 11

### Answer:

b) 9

### Explanation:

```
³√729 = 9, since 9 × 9 × 9 = 729.
```

## 15. Find the square root of 1521.

a) 38

b) 39

c) 40

d) 41

### Answer:

b) 39

### Explanation:

```
√1521 = 39, since 39 × 39 = 1521.
```

## 16. What is the cube root of 0.000512?

a) 0.6

b) 0.7

c) 0.8

d) 0.9

### Answer:

c) 0.8

### Explanation:

```
³√0.000512 = 0.8, since 0.8 × 0.8 × 0.8 = 0.000512.
```

## 17. Find the square root of 1.21.

a) 1.1

b) 1.2

c) 1.3

d) 1.4

### Answer:

a) 1.1

### Explanation:

```
√1.21 = 1.1, since 1.1 × 1.1 = 1.21.
```

## 18. What is the cube root of 3375?

a) 14

b) 15

c) 16

d) 17

### Answer:

b) 15

### Explanation:

```
³√3375 = 15, since 15 × 15 × 15 = 3375.
```

## 19. Find the square root of 0.0625.

a) 0.2

b) 0.25

c) 0.3

d) 0.35

### Answer:

b) 0.25

### Explanation:

```
√0.0625 = 0.25, since 0.25 × 0.25 = 0.0625.
```

## 20. What is the cube root of 1331?

a) 10

b) 11

c) 12

d) 13

### Answer:

b) 11

### Explanation:

```
³√1331 = 11, since 11 × 11 × 11 = 1331.
```