SCMHRD 2000
(Jan 9, 2000)

    Total Number of Questions 200
    Total time 120 min.
    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.     log4 (25/16) + log2 (6/5) – log …. = ?

4.     n2 – 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 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.   log4 (x/y) + log2 (a/b) – log2 (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 123. What is the length of the edge of the smallest cube ?

21. What is the measure of 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 3102 is divided by 5, what’s the remainder ?

25.   If 1 + (1/t) = (1 + t)/t, then t = ?

26.   If f(x) n, then n = ?
        (i) one solution          (ii) infinite solutions            (iii) no solution             (iv) ….

27.   The length of a 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.     1st 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 G-7 ?
        (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 non-interference 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.   Coca-Cola 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

fig-5.gif (4289 bytes)

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)

fig-6.gif (2779 bytes)

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

fig-7.gif (1604 bytes)

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.    

fig-8.gif (2105 bytes)

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)     x3 y3 > 0        (ii) x3 y3 < 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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