Student Course Grades and GPA Analysis

CAT 2004 Slot 1 · DILR · Medium · Data Interpretation

Passage / data set

The Dean's office recently scanned student results into the central computer system. When their character reading software cannot read something, it leaves the space blank. The scanner output reads as follows:

NameFinanceMarketingStatisticsStrategyOperationsGPA
AparnaBF1.4
BikasDDFF
ChandraDAFF2.4
DeepakABDD3.2
FazalDFBD2.4
GowriCCAB3.8
HariBAD2.8
IsmetBA
JagdeepAABC3.8
KunalFAFF1.8
LeenaBABF3.2
ManabABBB
NishaADBAF3.6
OsmanCBBA4.6
PreetiFDD3.2
RahulACAF4.2
SameerCFB
TaraB2.4
UtkarshFCA3.0
VipulACCF2.4

In the grading system, A, B, C, D, and F grades fetch 6, 4, 3, 2, and 0 grade points respectively. The Grade Point Average (GPA) is the arithmetic mean of the grade points obtained in the five subjects. For example Nisha's GPA is (6+2+4+6+0)/5=3.6(6 + 2 + 4 + 6 + 0) / 5 = 3.6.

Some additional facts are also known about the students' grades: (a) Vipul obtained the same grade in Marketing as Aparna obtained in Finance and Strategy. (b) Fazal obtained the same grade in Strategy as Utkarsh did in Marketing. (c) Tara received the same grade in exactly three courses.

Question 1 of 4

What grade did Preeti obtain in Statistics?

  1. A.

    A

  2. B.

    B

  3. C.

    C

  4. D.

    D

Answer

A

Explanation

GPA of Preeti = 3.2 \implies rac{F + D + x + D + y}{5} = 3.2 \implies 0 + 2 + x + 2 + y = 16 \implies x + y = 12. The only possible combination for xx and yy (grades out of maximum 6 points) is 6+66 + 6, corresponding to grade A in Statistics and Operations. Hence, Preeti obtained grade A in Statistics.

Question 2 of 4

In operations, Tara could have received the same grade as

  1. A.

    Ismet

  2. B.

    Hari

  3. C.

    Jagdeep

  4. D.

    Manab

Answer

D

Explanation

Tara's total points =2.4imes5=12= 2.4 imes 5 = 12. She scored the same grade in three subjects. Let her grades be 3x+y+z=123x + y + z = 12.

  • She cannot have 3 A's (sum exceeds 12).
  • If she scores 3 B's, total =12= 12, so remaining two must be F's (3imes4+0+0=123 imes 4 + 0 + 0 = 12).
  • If she scores 3 C's or 3 D's, it leads to a contradiction in available grades. Thus, her grades are three B's and two F's. Since Marketing is B, Operations could be B (same as Manab) or F.

Question 3 of 4

In Strategy, Gowri's grade point was higher than that obtained by

  1. A.

    Fazal

  2. B.

    Hari

  3. C.

    Nisha

  4. D.

    Rahul

Answer

B

Explanation

Gowri's GPA =3.8    3+3+6+x+4=19    x=3= 3.8 \implies 3 + 3 + 6 + x + 4 = 19 \implies x = 3, which is grade C. Rahul's grade in Strategy =(4.2imes5)(6+3+6+0)=6    A= (4.2 imes 5) - (6 + 3 + 6 + 0) = 6 \implies A. Fazal's grade in Strategy =(2.4imes5)(2+0+4+2)=4    B= (2.4 imes 5) - (2 + 0 + 4 + 2) = 4 \implies B. For Hari, Strategy grade is higher than C. Thus, Gowri's grade (C, point 3) was higher than Hari's (which is D, point 2).

Question 4 of 4

What grade did Utkarsh obtain in Finance?

  1. A.

    B

  2. B.

    C

  3. C.

    D

  4. D.

    F

Answer

C

Explanation

Fazal's GPA =2.4    2+0+4+x+2=12    x=4= 2.4 \implies 2 + 0 + 4 + x + 2 = 12 \implies x = 4 (Grade B in Strategy). Utkarsh's grade in Marketing is equal to Fazal's in Strategy     \implies B (4 points). Utkarsh's GPA =3.0    Y+4+0+3+6=15    Y=2= 3.0 \implies Y + 4 + 0 + 3 + 6 = 15 \implies Y = 2 (Grade D in Finance).

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