SCMHRD 2000
(Jan 9, 2000)
Total Number of
Questions 200
Total time 120 min.
½ Hr. – open ended essay type questions
Negative Marking @ 25%
Total 4 sections containing 50 questions each
No sectional bane
Section 1
Maths
50 Q
Section 2
GK
50 Q
Section 3
EU/RC
50 Q
Section 4
DI/LR
50 Q
Section 1  Maths
1. Given Area of DIxp. Find the area of the shaded portion.
2. 2 × 3 = 4, 4 × 5 = 12, 5 × 6 = ?
3. log_{4} (25/16) + log_{2} (6/5) – log …. = ?
4. n^{2} – n is
(i) always divisible by 6
(ii) never
divisible by 12
(iii) always divisible by 12
(iv) never divisible by 6
5. 5 questions (on cost of production / sales etc.)
6. A hole was cut out
from a disc of density x and radius. Find the volume of the remaining
portion.
7. A said to B "Right now, I am as old as you were when I was as old as you are". Find the age of A.
8. 5 men on I day, 4 men on II day and so on and how much they do on ……
9. A makes 6 cards in 1
min. B makes ½ the cards as A can make in 1 hr. Working together,
how much time they take to make 530 cards ?
10. Rope was hanging 8 feet above
surface of water and the height of water increases 6
inches in every 300 km. After how far will the
rope touch the surface, the distance it had
to cover was 5000 km.
11. (1/x) < (1/y)
(i) x > y
(ii) x and y are negative
(iii) x and y are
positive
(iv) none
12. 3 numbers are given, find the HCF which leaves same remainder.
13. 8 × 8 Chess Board. No. of squares = 256.
14. a × b = c, d × e = b then g × h = ? {a, b, c, d, e, f, g, h are all numbers}
15. log_{4 }(x/y) + log_{2} (a/b) – log_{2} (c/d) {x, y, a, b, c, d are numbers}
16. In one container, milk and water
are in the ratio of a : b and in another, there are in ratio
c : d. In what ratio must the solution from
both these containers be taken so that the
resulting mixture is in the ratio of 1 : 1.
17. An employee in the Income Tax
Department is expected to scrutinize 20 Income Tax
returns in a day. He actually scrutinizes only
4 Income Tax returns. In how many ways can he choose 4 returns from
amongst 20 Income Tax returns ?
18. 16 cricket and 11 football players are
to be arranged in a row such that no football
players are together. In how many ways can the
players be arranged ?
19. a = (1/1) + (1/2) + (1/3) + (1/4)
+ (1/5) + …
b = (1/1) – (1/2) + (1/3) – (1/4) +
(1/5) – …
c = (1/1) + (1/3) + (1/5) + ...
What is a + b + c ? Ans. 3 (a + b – c)
20. The cubes have edges in the ratio
of 3 : 4 : 5. They are melted to form a cube whose
diagonal is 12Ö3. What is the length of the
edge of the smallest cube ?
21. What is the measure of Ð CDE?
22.
23. There are 3 men A, B, C. A’s
capital – 12 months
B – After 5 months & invested money.
C – After 4 months & invested money.
B withdraws capital after x months.
The total profit at the end of the year was
given and B’s share had to be calculated..
The capitals were given.
24. When 3^{102} is divided by 5, what’s the remainder ?
25. If 1 + (1/t) = (1 + t)/t, then t = ?
26. If f(x)³ n, then n = ?
(i) one solution
(ii) infinite solutions
(iii) no solution
(iv) ….
27. The length of a
Ù is increased by 40% and the breadth is decreased by 40%. The new
area is what percentage of the previous area ?
28.
y/x =
1/y
ratio of D ABC to D ACD
Section 2 – GK
1. BBCs woman of the millennium ? [Indira]
2. 1^{st} Indian Firm to be listed on NYSE ? [ICICI]
3. Handing over of Macao from whom to whom ? [Portugal and China]
4. Jnanapith Award ? [Girish Karnad]
5. Swap ratio of HDFC and Times Bank Merger ? [5.75 : 1]
6. Which firm had a stock split ? [Infosys]
7. Which firm offered a stock option ? [Telco]
8. The number of child labourers in India ? [10 million]
9. Indian rank in Human Development Index ? [132]
10. Which company has Satyam Info falan ? [India World]
11. India’s highest trade with
the country
(i) USA
(ii) EU
(iii) UAE
(iv) none
12. Which country is not a member of
G7 ?
(i) Russia
(ii) Japan
(iii) ….
(iv)
….
13. India is a member of which of the
following ?
(i) G15
(ii) G22
(iii) ….
(iv)
….
14. Which organization’s meet took place in Seattle ?
15. How much these countries add to
the total GNP of the world ?
[Richest, Developing]
16. Per Capita Income India, Japan (in US$) in diff.
17. Pension Committee (who amends the pension etc.)
18. CRR ratio decreased by
19. US banned Indian Bidi. Why ? [Child Labour]
20. The judgement relating to
noninterference of TRAI in licensing – who gave it ?
[Delhi High Court]
21. Which committee do you associate have of Kumar Mangalam Birla with ?
22. Automobile Giants Merger.
23. CocaCola controversy occurred in which country due to which production had to be stopped ?
24. Highest literacy rate in India. [Mizoram and Kerala]
Section 3 EU/RC
1. Case Study – 2 employees – Chairman
Q. As
Mr. T, what would you do ?
Q. Mr. T, brings up the issue to you, the
chairperson and you have to decide.
2. 5 questions on Leadership Qualities (8 – 9 lines)
3. Questions on Believe in yourself / be in place with yourself
4. USA – Americans are small part of the world.
There were seven passages of 10 lines but questions were very tough.
Some questions were based on quadrant.
URGENT 
NOT URGENT 

IMPORTANT 
I 
II 
UNIMPORTANT 
III 
IV 
If you were to give time to two quadrants
II and II equally
II and I with I more
II and I with II more
As a leader, what would you concentrate more on
I II
III
IV
Some questions were based on Fill in the Blanks type.
1. Small Villages . ....... tininess
2. Singers have an edge over
musicians because singers have ....... and ........
(i) emotions and sound
(ii) thoughts and ideas
(iii) thoughts and music
3. Mr. Gupta "You can't get truth by small lectures ..."
Some questions were based on para formation.
Sample question
a. Skull was broken in three
b. Ribs fracture
c. Fracture in jaw
d. Upper lip
Underlined phrase, replace with appropriate.
Sample Question : Mr. X helped a lot in the field painting, teaching and lecturing. (painting, teaching and as a lecturer)
Section 4 DI
Bihar Table
Population in lakh 
% of literate population 

81 
91 
81 
91 

Urban 
Urban 

Men 
 
 
Men 
 
 
Women 
 
 
Women 
 
 
Rural 
Rural 

Men 
 
 
Men 
 
 
Women 
 
 
Women 
 
 
Ratio of literate urban men
to urban females in
91
..... of literate male 81 to 91
1 lakh literate rural men go to the urban area
change in % of rural population
Section
Roll No. I II III IV Total GDI GDII in 9901
Cut off every section 12.5,
total 55
GD 10 in any one or both
One who passes written, can go for GD
2 seats are for HRM
1. No. of people passing written test
2. Who gets IV position in written test
3. How many were get rejected in GD
4. Change limit of GD to 8, how many more
5. Who got II position in HRM
6. Consider I, II, III section and cut off limits, then how many selected
7. Change limit of GD to 8, who will be the 4th
Export figure of an Infotech industry
1991 1992 1993 1994
Hardware (export)
Hardware (domestic)
Software (export)
Software (domestic)
Sample questions
% change total hardware and total software in 1994
Total revenues 93 to 94 % in
Maximum percentage increase or decrease
Next set of questions was based on the following diagram
Approx. 4 questions were based on this figure.
The next set of questions was based on the
following table and graph
Pepper Production (in tons)
Kerala 

Tamil Nadu 

Karnataka 
Yield (kg/hectare)
Approx. 5 to 6 questions were based on these figures.
DS / LR
1. Find (x + y) (i) a = 2b (ii) (x + a) = (y + b) = 180°
2. A person travelled 300
kms. Find average speed.
(i) He covered 50 kms. in
first hour.
(ii) He covered 45 kms in next 3
hrs.
3.
They are painted blue, green, red, yellow, pink. Which one is green ?
(i) Green is between yellow and blue.
(ii) Green is between red and pink
4. x y > 0 (i) x^{3} y^{3} > 0 (ii) x^{3} y^{3} < 0
LR
Sample Questions are as follows
1.
1 
16 
75 
? 
36 
64 
3 
25 
100 
(i) 1 (ii) 0 (iii) ... (iv) none of these
2.
1 
5 
10 
20 
0.1 
2.5 
10 
(i) 20 (ii) 40 (iii) 10 (iv) 15
Overall paper was moderately tough and DI section was lengthy. The RC passages and the questions were designed in manner to check the psychology of a candidate and essay type questions were designed to check leadership skills.
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