1. If X=(49+21)2+(49-21) 2/(49) 2=(21) 2 then x is equal to:
2. The sum of numbers from 1 to 200 is:
3. A candidate was asked to find 7/8th of a positive number. He found 7/18 of that number by mistake. If his answer was 770 less than the correct one, the original number was:
4. The mean of the data:
X : 10, 15, 20, 25, 30
Frequency: 3, 2, 5, 4, 6 is:
5. If the median of the data: 24, 27, 28, 31, 34, x, 37, 40, 42, 45 as arranged above in ascending order is 35, then the value of x should be:
6. A and B can clean a shed in 12 days, B and C can clean the same shed in 15 days and C and A can do it in 20 days. How long dies C take to clean the shed?
A. 45 days
B. 48 days
C. 60 days
D. 50 days
7. The co-ordinates of the points where the lines 2x-y=1 and x+2y=8 meet the y-axis are respectively:
A. (1/2, 0) and (8,0)
B. (0,3) and (0,4)
C. (0,-1) and (0,4)
8. The greatest number of 4 digits which is exactly divisible by 15, 15, 20 and 35 is:
9. A tree is broken by wind and its upper end touches the ground at a point 10 meters from the foot of the tree and makes an angle of 45° with the ground. The entire length of the tree was:
A. 15 meters
B. 20 meters
C. 25 meters
D. 10(1+under root 2)
10. Two trains of equal lengths are running on parallel lines in the same direction at eh rate of 46 and 36km/hour respectively. The faster train passes the slower train in 36 seconds. The length of each train is:
A. 50 meters
B. 72 meters
C. 80 meters
D. 100 meters
11. In 30 liters of a mixture of milk and water, the ratio of the constituents in the above order is 7:3. How many liters of water be added to make this ratio 3:7?
A. 10 liters
B. 21 liters
C. 30 liters
D. 40 liters
12. If profit percentage is numerically equal to the cost price in rupees. If the selling price is Rs. 39, what is the cost price?
13. How many squares tiles of 2.5 cms side will be required to pave a path ½ meter wide around the outside of a plot 10 meter long and 5 meter broad?
14. Find the smallest number which is divisible by 15, 18 and 25 and is a perfect square:
Directions (Question Nos.65 to 69): Read the following passage and answer the questions that follow:
The growing tendencies towards regionalism in the country have had serious effects on higher education. These tendencies are generally expressed in demands relating to the medium of instruction. Some of these demands are based on sound educational principles and are wholly justifiable; but in their most extreme form they usually indicate either ignorance of the minimum requirements of higher education or chauvinism of a kind that places consideration of a parochial character above these requirements. In practice, both have been in evidence. More specifically, the problem arises when instruction at the post graduate level is sought to be given in the regional languages.
Most of the relevant literatures with which students at this level of education ought to be familiar are usually not available in any of the regional languages. It is true that comprehension is much easier in the mother tongue, and that the necessary literature could grow over period of time. But when the range of literature a student is exposed to at event eh post-graduate level is constricted by language barriers, the content of education gets diluted. Since the products of such education are later absorbed as teachers of the succeeding generations, the damage done is more long-lasting than is generally assumed.
The usual answer to these impediments is that English need to be taught as a “library language” and student should be required to familiarize themselves with the more advanced literature in the subject through this language. In principle this is unobjectionable, particularly if the “library language” is taught intensively form an early stage of schooling and the students have therefore no difficulties of comprehension through this language.
15. As per the passage higher education should be provided in:
B. The mother tongue of students
C. The language of the region
D. A “library language”
16. The intervention of regional voices has had a ……………… effect on the quality of higher education.
17. How does the author view the higher education scenario in India?
A. He is appreciative of its steady progress
B. He is critical of the lack of ethical practices
C. He wants a revamp of the whole system
D. He presents a critical analysis of the situation
18. The medium of instruction at the post-graduate level should be chosen discerningly because:
A. Comprehension is much easier in the mother tongue
B. It is linked to the growth of personality of the students
C. Many of the beneficiaries have a deep influence as teacher on succeeding generation
D. Such students must rise above parochial considerations
19. The benefits of higher education can be reaped to the maximum by students if they are exposed to “library language”:
A. For a specified period of time
B. Form an early stage of schooling
C. For a short, intensive duration
D. Alongside of their mother tongue
Directions (Questions Nos. 70 to 74): Read the following passage and answer the questions that follow:
We all creatures of the clichés among which we have grown up. From the middle of the nineteenth century, such phrases as ‘the struggle for existence’ or ‘the survival of the fittest’, and ‘for a long time the biologist’ theory that the animal world was like ‘a gladiator show’, have conditioned our thinking. More recently, the general Freudian atmosphere, supporting the old idea of the original sin, has destroyed our belief even in our babies, who appear as little gangsters possessed by jealousy and hate. The result has been that many of us have felt that it is all hopeless, that it is natural for everything to fight for itself, that struggle is the law of existence, and thus hatred and was are inevitable. But during the present times there has been more and more evidence to suggest that co-operation may be even more important in the evolutionary process than competition.
While in nature, there is indeed a struggle for life, there is also such a thing as the struggle for the life of others, and today the principle of co-operation is in a fair way becoming established as the most important factor in the survival of animal groups as of individuals. From the protozoa right up to man this mutual aid has been established: there is a ‘social appetite’ even in the lowest of organisms. No longer can domination of the weaker by stronger, whether individuals or nations, be supported by the supposed example of the natural world.
20. The most appropriate title for the passage would be:
A. The conditioned world of evolution
B. The process of evolution
C. Clichés about evolution
D. Understanding evolution afresh
21. Implicit in the ‘struggle for life’ is:
A. The struggle for one’s own survival
B. The struggle for the survival of other forms of life
C. The struggle for the survival of one’s species
D. The struggle for the survival of one’s progeny
22. What has led to the destruction of our belief even in our babies?
A. The primordial idea that man is a born sinner
B. The common belief that as we grow up we succumb to hatred and war
C. Our gladiatorial instinct for ‘the survival of the fittest’
D. Our lack of understanding of ‘the principle of co-operation among species’
23. The passage has a/an…………….attitude towards biologists’ view about evolution.
24. The passage is a fervent plea for:
A. Inculcation of a scientific temperament amongst people
B. Upholding of the sanctity of establishment scientific theories
C. Recognizing the need for reassessing dominant scientific views on evolution
D. All of the above
Directions (Questions Nos. 75 to 79): Each sentence below has two blanks and is followed by four sets of words. Choose the set of word that best fills in the blanks.
25. The good administrator should not only be……………but should have the ………to know when to do a particular thing.
A. Intelligent ; willingness
B. Perceptive; sagacity
C. Worthy; power
D. Courageous; courtesy
26. The ancient teachers insisted on strict disciplining of the disciples before they………… to impart knowledge of ………import to them.
A. Ventured; profound
B. facilitated; high
C. concluded; significant
D. decided; meaningful
27. It is true that the……….between the different branches of science are ………….being broken.
A. boundaries; finally
B. fences; continuously
C. borders; constantly
D. frontiers; continually
28. My intention is to draw a realistic picture, and if there is any touch of pessimism, it is………in the present situation and it is for us to……..it.
A. Prevalent; shun
B. Inherent; rectify
C. Hidden; discover
D. obtainable; correct
29. ……………….of power from atomic disintegration remained just a dream till the ………. Of nuclear fission was discovered.
A. extraction; process
B. capture; procedure
C. generation; phenomenon
D. making; phenomena