UPSC > CSAT Preparation > Square Root and Cube Root - Examples (with Solutions), Logical Reasoning
Square Root and Cube Root - Examples (with Solutions), Logical Reasoning - CSAT Preparation - UPSC
A. 24
B. 12
C. 48
D. 36
Answer : Option A
Explanation :
A. 2.24
B. 1.24
C. 1.34
D. 2.34
Answer : Option D
Explanation :
3. If 
, then what will be the value of 
A. 21.66
B. 13.41
C. 22.35
D. 44.7
Answer : Option D
Explanation :
4. The cube root of 0.000729 is
A. 0.09
B. 0.9
C. 0.21
D. 0.11
Answer : Option A
Explanation :
5. What is the least perfect square which is divisible by each of 21, 36 and 66?
A. 213444
B. 214434
C. 214344
D. 231444
Answer : Option A
Explanation :
LCM of 21, 36, 66 = 2772
ie, all multiples of 2772 are divisible by 21, 36 and 66
Prime factorization of 2772 is,
2772 = 2 × 2 × 3 × 3 × 7 × 11
ie, to make it a perfect square, we have to multiply it by 7 and 11
Hence, required number = 2772 × 7 × 11 = 213444
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FAQs on Square Root and Cube Root - Examples (with Solutions), Logical Reasoning - CSAT Preparation - UPSC
| 1. What is the formula to calculate the square root of a number? |  |
Ans. The formula to calculate the square root of a number is √x = y, where x is the number and y is the square root of x.
| 2. How can I find the cube root of a number? | |
Ans. To find the cube root of a number, you can use the formula ∛x = y, where x is the number and y is the cube root of x.
| 3. Can the square root of a negative number be determined? | |
Ans. No, the square root of a negative number cannot be determined using real numbers. It results in an imaginary number.
| 4. What is the difference between square root and cube root? | |
Ans. The square root of a number is the value that, when multiplied by itself, gives the original number. On the other hand, the cube root of a number is the value that, when multiplied by itself twice, gives the original number.
| 5. How can I simplify expressions involving square roots and cube roots? | |
Ans. To simplify expressions involving square roots and cube roots, you can use various mathematical properties and rules. For square roots, you can simplify by factoring the number inside the square root symbol. For cube roots, you can simplify by finding perfect cube factors of the number inside the cube root symbol.
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