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.