As you are looking for syllabus and question papers of Special Class Railway Apprentice (SCRA) Entrance Exam, so here I am providing followings:

Special Class Railway Apprentice (SCRA) Exam Syllabus
General Ability Test
Physical Sciences
Mathematics

Paper I – General Ability Test:
1) English: Understanding of English will be tested in this paper.

2) General Knowledge:
General Awareness
Current Affairs
Geography
History
Civics
Economics
Basic Biology

3) Psychological test:
Basic intelligence
Mechanical Aptitude

Paper II – Physical Science:
1) Physics: Up to class 12th level

2) Chemistry: Physical Chemistry, Inorganic Chemistry and Organic Chemistry up to class 12th level

Paper III – Mathematics:
Algebra
Trigonometry
Analytic Geometry
Differential Calculus
Integral Calculus
Differential Equations
Vectors
Statistics
Probability
Questions from the above topics will be up to class 12th level.

SCRA Exam Scheme
SCRA Paper Subject Duration Marks
Paper I General Ability Test 2 Hours 200
Paper II Physical Sciences 2 Hours 200
Paper III Mathematics 2 Hours 200
Total 600

Here I am providing question paper of UPSC SCRA Exam for your reference:

UPSC SCRA Exam Question Paper

In the following five items, a word or phrase in underline in each sentence. Four choices are given below each sentence. Select the one which beat matches the meaning of the underlined word or phrases and mark your response as (a), (b), (c) or (d), as the case may be, in your Answer Sheet.
1. When it comes to studies, it is found that most students are callous these days.
(a) dull (b) indifferent
(c) careful (d) negligent

2. In order to avoid accidents, one has to be alert while driving.
(a) to think quickly (b)to be warned against
(c) to be awake (d) to be smart

3. This ridiculous exaggeration was instantly seen through.
(a) intensification (b) simplification
(c) magnification (d) clarification

4. I am afraid I do not know how to allay her doubts.
(a) make less (b) clear
(c) share (d) solve

5. My friend was reluctant to do such a thoughtless thing.
(a) unenthusiastic (b) unwise
(c) undecided (d) unwilling

Directions : Look at the underlined idiom in each sentence. Below each sentence four possible meanings for the idiom have been given as (a), (b), (c) and (d), Select the phrase that most nearly brings out the meaning of the idiom and mark your response appropriately on the Answer Sheet.

6. In his present circumstances, he can just keep the wolf from the door.
(a) save his family from the wolf
(b) save his family from his cruel enemy
(c) keep the wolf as pet
(d) manage to buy enough food for himself and his family

7. Some politicians play to the gallery in order to continue in positions of power.
(a) bribe aggressive people
(b) play on a musical instrument before people
(c) try to win popularity by appealing to the taste of the masses
(d) play the tunes which please the masses

8. The Director had to burn the midnight oil to prepare his speech.
(a) make his own tea at midnight
(b) sit up and work until late at night
(c) prepare his supper at midnight
(d) make others work until midnight

9. Having decided to elope, she was prepared to face the music.
(a) to face difficulties boldly
(b) to throw a grand party
(c) to pay for a nice musical concert
(d) to defy her boss

10. When Govind knew that there were thieves inside his house, he girded up his Ioins to face them.
(a) rolled up his clothes
(b) wore a strong belt over his clothes
(c) wore a special girdle
(d) got ready for action