[Solution] – Saturday CSAT Quiz #1

Dear Friends,

Last Saturday we posted the first quiz on CSAT as part of our Mission 2016 . Click below to view the quiz

Solutions to Saturday CSAT Quiz #1

Nine professors – A, B, C, D, E, F, G, H and I are to appear on a series of three panels. Each panel will consist of three professors and each professor will appear exactly once. The panel must be arranged according to the following conditions.
I. C and H must be on the same panel.
II. E and F must be on the same panel.
III. I and D cannot be on the same panel.
IV. G must appear on the second panel.
V. Either D or G or both must appear on the panel with B.

Question 1

Which of the following professors could appear on a panel together?

(A) A, F, I

(B) A, D, G

(C) E, C, G

(D) H, C, D

This questions can be solved only by elimination method. If you tried solving it through any other method, it would be a huge wastage of time.

Option (A) violates the rule E and F must be on the same panel.

Option ( B) violates the rule Either D or G or both must appear on the panel with B.

Option ( C) violates the rule E and F must be on the same panel.

Option ( D) is the correct answer

Question 2

Which of the following could be true?

(A) C appears on the 2nd panel

(B) B appears on the 3rd panel

(C) I appears on the 3rd panel

(D) D and I appear on the 1st panel

Since, G must appear on the second panel (condition IV), D will have to appear along with B on 3rd panel.
Therefore, both D and B cannot appear on different panels.

Question 3

The 3rd panel could consist of which the following?

(A) A, C, D

(B) E, C, D

(C) A, B, D

(D) E, F, I

Combination of A, D and C violates condition 1, which requires the combination of C with H

Question 4

All the following could be on the same panel as E, except

(A) A

(B) I

(C) D

(D) G

If one  of the panelists is E, other would be F as given in condition II,
C cannot appear with E and F because C always appears with H [refer condition I] and there cannot be more than three panelists

We hope you like the question. UPSC does not set difficult questions in CSAT. This question required solving by elimination.

Q5 – B

Q6 – B

Q7 – C

Q8 – A

Q9 – A

Explanations
5. The total length of roads in the year 1990 = 30,00,000 kms.
Urban roads are 7% of total roads. The length of urban roads = 7 X 30,00,000/100 = 2,10,000.

6. The maximum increases are 2 00,000 kms in both 1996-97 and 1997-98.
Percentage increase in 1996-97 = 2,00,000/25,00,000 * 100 = 8%.
Percentage increase in 1997-98 = 2,00,000/27,00,000 * 100 = 7.4%.
In other years, the increase is only 1,00,000 kms. So they obviously won’t be anywhere near to the above two years. Overall, the highest percentage increase is for 1996-97.

7. The length of highways in the year 1996 = 75% of 2500 = 75 X 2500/100 = 1875 thousand kms.
The length of highways in 1999 = 86% of 3000 = 86 X 3000/100 = 2580 thousand kms.
The increase in length of highways = 7,05 thousand kms.

8. The percentage share of highways in 2000 = 86 + 4 = 90%.
The increase in total length = 5% = 5 X 3000 / 100 = 150 thousand kms. The total length in the year 2000 = 3150 thousand kms.
The length of highways = 90 X 3150 / 100 = 2835 thousand kms

9. Length of project roads in 1995 = 0 km.
Length of project roads in 1999 = 7% of 3000 thousand km = 210 thousand kms.
Increase over these four years is therefore = 210,000 kms.
So, increase per year = 210,000/4 = 52,500 km.


Comments

16 responses to “[Solution] – Saturday CSAT Quiz #1”

  1. Arpit Avatar
    Arpit

    Hi!

    Great effort guys. Please notice an issue in Q. 4 – the answer (C) D violates the fifth condition set in the question: Either D or G or both must appear on the panel with B.

    There can be two possible cases here:
    1. Either G appears and in that case B has to appear (condition V), leaving us with sets:
    CHA GBI EFD, CHD GBA EFI, CHI GBD EFA, or
    2. Either G & D both appear and also in this case B has to appear (condition V), leaving us with sets:
    CHA GBD EFI, CHI GBD EFA

    (read condition IV: G has to appear on 2nd panel)

    which means that there is no possibility of G appearing with E – option (D).

    Kindly review.

  2. Please correct if I’m wrong.

  3. Q3 is also having 2 correct answers:

    ABD and EFI both can be 3rd panel: e.g. ABD, CHI, EFG & EFI, CHD, GAB.

  4. Even in Q2 C could appear on panel 2; EFI, CHG, BDA

  5. Answer of q4 is wrong D could be in same panel as E. eg, CHI, GBA, EFD

  6. Answer to Question 4 seems wrong…the solution is none of them..all 4 (A I D G) can appear on a panel with E on it.

  7. BatManus Avatar
    BatManus

    Sir in qs2 G must appear in 2nd panel. But as per condition 5 D or G or both can appear with B. SO the 2nd panel itself can be BDG. Other panels can be CHA and EFI.
    The 4th option D and I in the first panel violates condition 3.

    For option 1: the panels can be CHA BDG EFI
    Option 2: CHI EFG BDA
    Option 3: again CHA BDG EFI
    Option 4 not possible for D and I to be in 1 panel.

    Plz identify if any mistake.

  8. Snow white Avatar
    Snow white

    its perfectly fine sir.. plz keep giving us more solid questions on csat so that we cvr csat here only itself.. 🙂 thanku sir..

  9. Hi, The errors have now been corrected. Sorry folks for the inconvenience.

  10. Hi, there were errors in the solutions due to serial mismatch. These have now been corrected. Sorry folks for the inconvenience.

  11. Assassin Avatar
    Assassin

    As said in question “If construction of project roads started in the year 1995” that means its zero before 1995 .

  12. Please Check Question no 9 too. Or please correct me if i’m wrong. You cannot consider length of project road 0 at 1995.
    1. Delta change every year and there average must be consider.

    2. Or total change divided by no of year.

    Considering 0 is wrong in my opinion.

  13. Rubik Cube Avatar
    Rubik Cube

    Question 2

    Which of the following could be true?

    (A) C appears on the 2nd panel

    (B) B appears on the 3rd panel

    (C) I appears on the 3rd panel

    (D) D and I appear on the 1st panel

    how the answer can be D because it given that

    III. I and D cannot be on the same panel.

  14. Snow white Avatar
    Snow white

    sir question 2 answer how can be it d? its given I AND D cannot appear on same panel.. condition 3…

  15. ForumIAS Avatar
    ForumIAS

    Hi,

    We are going through your suggestion. However, please marks the words of the question -“could be is true / is possible”. This itself means that unless it is false, it can be true.

    The combinations are not frozen based on the answer to question 1.

  16. SierraS Avatar
    SierraS

    The answers are contradictory.
    The answer to first question is HCD. That is in a panel H C D are together. The answer to the second question is D and I appear together. It means H C D and I are together in one panel. This violates the principle of three persons in one panel.

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