SQUARE ROOTS AND SURDS (CDS)

Total Questions: 22

1. Given y is inversely roportional to √x, and x = 36 when y = 36. What is the value of x when y = 54 ? [2019 (II) Evening Shift]

Correct Answer: (c) 16
Solution:According to the question,

2. What is the square root of 16 + 6√7 ? [2019 (II) Evening Shift]

Correct Answer: (c) 3 + √7
Solution:Let x = 16 + 6√7

3. Solve the following equation [2019 (II) Evening Shift]

Correct Answer: (c) 4
Solution:


4. Suppose n is a positive integer such that (n² + 48) is a perfect square. What is the number of such n? [2019 (I) Morning Shift]

Correct Answer: (c) Three
Solution:


5. Solve the following equation [2019 (I) Morning Shift]

Correct Answer: (d) 2
Solution:


6. Solve the following equation [2019 (I) Morning Shift]

Correct Answer: (c) positive only if a ≠ b
Solution:a and b are any two real numbers.

7. What is the value of [2019 (I) Morning Shift]

Correct Answer: (d) 4
Solution:


8. The expression 5²ⁿ − 2³ⁿ has a factor [2019 (I) Morning Shift]

Correct Answer: (c) 17
Solution:5²ⁿ − 2³ⁿ has a factor,

9. What is the value of [2018 (I) Morning Shift]

Correct Answer: (a)
Solution:


10. Solve the following equation [2017 (II) Evening Shift]

Correct Answer: (c) lies between 1 and 2
Solution: