Q1 · medium · PYQ 2022
If squaring a positive real number x is same as adding 12, then what is x equal to?
- 4
- 2
- 3
- 5
Q2 · medium · PYQ 2022
If the sum of the roots of the equation x² - k²x + 30kx - 161x - 64 = 0 is zero, then what is the difference of the roots?
- 16
- 15
- 18
- 17
Q3 · medium · AI-verified
The sum of the series 1 + 3 + 5 + 7 + ... up to n terms is:
- n²
- 2n²
- n(n+1)
- n(2n-1)
Q4 · medium · AI-verified
The sum of first n terms of an arithmetic progression is given by Sₙ = 2n² + 3n. Find the 10th term of this A.P.:
- 43
- 37
- 39
- 41
Q5 · medium · PYQ 2022
A train X takes 2 hours less than a train Y to cover a distance of 192 km between two cities. Their average speeds differ by 16 km/hr. How long does the faster train take to cover the journey?
- 4 hours
- 5 hours
- 3 hours
- 6 hours