1. A train travels 500 m in first minute. In the next 4 minutes, it travels in each minute 125 m more than that in the previous minute. The average speed per hour of the train during those 5 minutes will be (2)
- 1. 30 km/hr
- 2. 45 km/hr
- 3. 50 km/hr
- 4. 55 km/hr
2. If p²/q² +q²/p² = 1, then the value of (p⁶ + q⁶) is (1)
- 1. 0
- 2. 1
- 3. 2
- 4. 3
3. If (m + 1) = √n + 3, the value of 1/2 ((m³ – 6m² + 12m – 8)/√n-n) is (1)
- 1. 0
- 2. 1
- 3. 2
- 4. 3
4. If x=(a – b)/(a + b),y=(b – c)/(b + c),z=(c – a)/(c + a), then ((1 – x)(1 – y)(1 – z))/((1 + x)(1 + y)(1 + z)) is equal to (1)
- 1. 1
- 2. 0
- 3. 2
- 4. 1/2
5. If (√7 – 1)/(√7 + 1)-(√7 + 1)/(√7 – 1)=a+√7 b, then the values of a and b are respectively (3)
- 1. √7, –1
- 2. √7, 1
- 3. 0, -2/3
- 4. -2/3, 0
