Q1. While selling a watch, a shopkeeper gives a discount of 15%. If he gives a discount of 20%, he earns Rs 51 less as profit. What is the original price of the watch?
Q2. A bus travels at 75 km/h without any stoppage. But due to stoppages at intermediate stands its average speed becomes 63 km/h. How much minute bus stop every hour?
Q3. Two trains running in opposite directions to each other, cross a man standing on the platform in 30 sec and 12 sec respectively and they cross each other in 20 seconds. Find the ratio of their speed.
Q4. Pankaj walked at 5 km/h for certain part of the journey and then he took an auto for the remaining part of the journey and travelling at 25 km/h. He took 10 hours for the entire journey, then find what part of journey did he travelled by auto if the average speed of the entire journey be 17 km/h:
∴ 5t + 25 [10 - t] = 17 × 10
⇒ 20t = 80
⇒ t = 4 hours
∴ Part of journey travelled by auto
= 25 × 6
= 150 km
Q5. A car driver covers a distance between two cities at a speed of 60 kmph and on the return his speed is 40 kmph. He goes again from the 1st to the 2nd city at twice the original speed and returns at half the original return speed. Find his average speed for the entire journey.
Directions (6-10): What will come in place of question mark (?) in the following number series?
Q6. 6, 9, 18, 45, 135, ?
∴ ? = 135 × 3.5 = 472.5
Q7. 66, 35, 72, 38, 78, ?
∴? = 78 ÷ 2 + 2 = 41
Q8. 29, 33, 60, 76, 201, ?
∴ ? = 201 + 6² = 237
Q9. 5, 7.25, 13.5, 25.75, 46, ?
∴ ? = 46 + (5.5)² = 76.25
Q10. 138, 269, 532, 1059, 2114, ?
∴ ? = 2114 × 2 – 3 = 4225
Directions (11-15): Study the following Bar-graph carefully to answer the questions that follow.
The graph shows monthly income (in thousand) in six different years by Arun, Suman and Jyoti.
Q11. What was the difference between the average monthly salary of Arun in all the years together and Suman’s monthly income in the year 2007?
Q12. What is the ratio of Arun’s monthly income in the year 2006, Suman’s monthly income in the year 2007 and Jyoti’s monthly income in the year 2005?
= 18: 15: 9
= 6: 5: 3
Q13. In which year was the difference between Jyoti’s and Arun’s monthly income the second highest?
Q14. The monthly income of Suman in the year 2009 was approximately what percentage of the monthly income of Jyoti in the year 2010?
Q15. What was the percentage increase in the monthly income of Jyoti in the year 2008 as compared to the previous year?