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HURDLE-10 : AVERAGES

(Solve this Hurdle by 8th March)

Q1 . There are 22 numbers with biggest number being 100 and the smallest being 0. The average of the 22 numbers in 50. Which one of the following is necessarily true ( Remaining 20 means excluding the numbers 0 and 100):
1) At least 10 numbers out of the remaining 20 are less than 50.
2) A Maximum of 10 numbers out of the remaining 20 are greater than 50.
3) A Minimum of 10 numbers out of the remaining 20 are greater than 50.
4) A Minimum of 10 numbers out of the remaining 20 are greater than 49.
5) None

Q2. Average of 11 numbers that are range of 1 to 100 is 50. One of the number is removed. Which one of the following is necessarily true :
1) The minimum average of the remaining 10 numbers is 45
2) The maximum average of the remaining 10 numbers is 54.9
3) The range of the average of the remaining numbers will be 45 to 54.9
4) All 1,2 and 3. (UrPercentile.com)
5) None

Answers of This Hurdle-10
Those who got more than 20 answers right including the first 2 questions and the last question in less than 25 minutes have done a good job.
Hurdle 10-Answers

  Links of Hurdle 1 to 30
Our Hurdles are prepared on the basis of past entrance tests  papers.

Hurdle.htm
  Links of Hurdle 31 to 78
Links of Hurdle 31 to 78 will be available only to the closed community of Urpercentile members.

Hurdle31onwards.htm

Q3. 17 football players have an average of 17 goals each. If the player who scored the maximum goal is removed the average becomes 16.5. How many goals had he scored.

Q4. 37 employee of a company have a average salary of Rs 27 per hour. One employee leaves the company while a new one joins. The person who left had a salary of Rs 99 per hour. If the new average salary becomes Rs 25 per hour, what is the salary of new person in the company?

Q5. 15 employee of a department have a average leave of 19 days per year. One employee leaves the department and a new one joins. (UrPercentile.com) The person who joins the department took 5 days off in the year. If the new average leave becomes 17 days per year, how many days did the person who left the department took leave?

Q6. 19 employee of a company have a average salary of Rs 27 per hour. One employee leaves the company while a new one joins. The person who left had a salary of Rs 63 per hour. If the new average salary becomes Rs 26 per hour, what is the salary of new person in the company?


Q7. A group of 21 children have an average of 19 comic books. One child joins the group and the average become 21.
(UrPercentile.com) How many comic books did the new child have?

Q8. A group of 17 player have a average age 13. If their coach is also taken into consideration the average age becomes 14. what is the age of the coach.

Q9. 41 employees of a company stayed outside India at average rate of 43 days per year. If the CEO's number of days outside India is considered the average number of days outside India become 45. How many days did the CEO stayed outside India?

Q10. Average of 16 numbers is 22. If two consecutive prime numbers are removed the new average becomes 23. What are the two consecutive prime numbers.

Q11. Average of 25 numbers is 17. If two consecutive numbers are removed the new average become 18. What are the two numbers.

Q 12. Average age of 27 employees is 33. Two employees leave the company. One of the employee who left was 19 years old. The new average age of the employees become 34. (UrPercentile.com) What was the age of the second employee who left the company.

Q13. Average of 22 numbers is 29. After three consecutive prime numbers are removed the average become 31. What are the three numbers.

Q14. Average of 24 numbers is 26. Three numbers having same value are removed to get an average of 25. What are the three numbers removed.

Q15. The average of 26 numbers is 23. Three consecutive prime numbers are removed to get an average of 25. What are the three numbers removed.

Q16. The average of 31 numbers is 17. Three numbers whose ratio is 5:5:7 are included and the average become 18. What are the three numbers included.

Q17. Average of 28 numbers is 19. Three numbers A,B and C are added to get new average of 21. B-A=3, C-A=5 and C-B=2 . What is the value of A,B and C.

Q18. The average of 26 numbers is 28. Three numbers are added to get an average of 29. Two of the numbers added are 30 and 53. What is the third number added.

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MATCH THE WORDS IN SET A WITH THEIR MEANINGS IN SET B

SET A: Q19. Sinuosity, Q20. Palaver, Q21. Expunge, Q22. Inkling Q23.Exigency, Q24. Leviathan, Q25. Myriad,

SET B:
A. A crime
B. The quality of curving in and out.
C. A drop of Ink.
D. discussion or misleading speech
E. An Egyptian building
F. To remove from list
G. A accidental discovery
H. A heavy fine or Tax imposed.
I. A cloth used during winter to keep warm
J. A hint.
K. A critical period or condition.
L. To send a criminal back to his country.
M Any large animal, as a whale.
N. A vast indefinite number.

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READING COMPREHENSIVE (RC)

Read the article below and answer the question mentioned after the passage :

Source: Frontline

" PLANETS form out of a `protoplanetary' discs of dust and gas that exist around a new-born star. Such embryonic discs have been seen around young stars, both in infrared and in visible light. The system of orbits of the planets in the solar system is actually the trace of the skeleton of such a discs that encircled the new-born sun. Collision of dust particles in the disc causes material to agglomerate and form solid bodies or `planetisimals' that continue to accrete debris.

In the case of our solar system, this led to eight major bodies. The ninth planet, Pluto, is believed to be a survivor of an early subclass of bodies in the solar system called icy dwarfs. The more massive planets are found farther from the sun, though not so far where material did not have time to aggregate. The size of the solar system or the distance of the farthest planet is probably determined by the distance at which the orbital period of the disc matter was sufficient for collisions to occur and agglomeration to take place and not too slow that collisions were rare.

Unlike asteroids, which are cold chunks of debris from the solar system, a planet is massive enough to have had at least once a molten core that differentiated the planet's interior. This is a process in which heavier elements sank to the centre and lighter elements floated to the surface. Accordingly, planets would have dense rocky/metallic cores and, depending on how far they formed from their parent star, they may retain a dense mantle of primordial hydrogen and helium. In the solar system this mechanism establishes two families of planets: the inner-rocky or terrestrial planets such as the earth and Mars, which have solid surfaces, and the outer gas-giant planets Jupiter and Saturn.

Massive planets are still contracting gravitationally and shine in infrared light.

On the basis of the above simple theory of planet formation, one expects giant planets to form outside the so-called `snow line' where there was a larger density of rock/ice to allow rapid planet formation. Since planets are believed to have formed out of discs with circular orbits, their orbits should also be close to circular orbits. But the discovery of many `hot Jupiters' (circling close to the parent star) as well as frequently non-circular orbits is at variance with the expected picture.

The most popular explanation for the existence of `hot Jupiters' is `orbital migration', according to which giant planets form at large radii within the protoplanetary disc (several A.Us.), lose energy and angular momentum and migrate to present orbits closer to the star. Mechanisms that could lead to orbital migration include `gravitational scattering' by other planets or planetesimals in an initially unstable planetary system, and gravitational interactions of a single planet with the protoplanetary disc soon after planet formation.

Q 26
(i). All planets of solar system were formed by collision of dust particles which agglomerated and formed solid bodies.
(ii). As planets are formed out of discs with circular orbits, their orbits are also close to circular orbits.

A. Both the statement are false
B. Only 2 is false
C. Only 1 is false
D. Both are true.


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