CS Atlas GATE 2027
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PDS/Phase 0 · Foundations

Checkpoint CP0 · Item 9 of 103

Foundations

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15 questions · 22 marks · 40 minutes. Negative marking on MCQ only: −1/3 mark for a wrong 1-mark MCQ, −2/3 for a wrong 2-mark MCQ. No negative marking for MSQ or NAT; MSQ has no partial credit.

Q1MCQ1 markToolchain

Which converts C source code into an executable?

  • (A) main
  • (B) the processor
  • (C) printf
  • (D) the compiler

Q2MCQ1 markOutput

What does this print?

printf("ab\n");
printf("c\td\n");
  • (A) ab\ncd
  • (B) ab cd
  • (C) ab then c, tab, d on the next line
  • (D) abc d

Q3NAT1 markEscape sequences

How many characters does "\"Hi\"\n" contain?

Numerical answer: ________

Q4MCQ2 marksComments

What does this print?

printf("A"); // printf("B");
/* printf("C"); */ printf("D");
printf("// E\n");
  • (A) AD// E
  • (B) ABCD E
  • (C) AD E
  • (D) AD

Q5MCQ2 marksVariables

What does this print?

int a = 5;
int b = a + 1;
a = b + a;
b = a + b;
printf("%d %d\n", a, b);
  • (A) 11 17
  • (B) 6 11
  • (C) 5 6
  • (D) 11 12

Q6NAT1 markAddresses

Five ints are stored one after another starting at address 1200 (4 bytes each). What is the address of the last byte of the fifth int?

Numerical answer: ________

Q7MSQ1 markIdentifiers

Which are valid names?

  • (A) 9lives
  • (B) sum2
  • (C) my_var
  • (D) int

Q8NAT1 markBits

How many bits are needed so that 300 different values each get their own pattern?

Numerical answer: ________

Q9NAT2 marksLogs

What is log₂ (2^20^ / 2^5^) + log₂ 1?

Numerical answer: ________

Q10MCQ1 markCeiling

⌈7/2⌉ + ⌊7/2⌋ equals:

  • (A) 3.5
  • (B) 6
  • (C) 8
  • (D) 7

Q11NAT2 marksGuessing

Guessing a secret number from 1 to 500 by always picking the middle, what is the worst-case number of guesses?

Numerical answer: ________

Q12NAT1 markSeries

What is 1 + 2 + … + 30?

Numerical answer: ________

Q13NAT2 marksSeries

What is 1 + 2 + 4 + … + 1024?

Numerical answer: ________

Q14MCQ2 marksCounting

Every pair of 12 cities is joined by exactly one road. How many roads?

  • (A) 144
  • (B) 132
  • (C) 66
  • (D) 24

Q15MSQ2 marksCounting

Which are correct?

  • (A) A set of 4 items has 16 subsets
  • (B) 4! = 4 + 3 + 2 + 1
  • (C) 0! = 1
  • (D) 5C2 = 5C3

Answer Vault

Try the questions first. Open when you are ready to check.

Q1 Answer: (D)1 mark

The compiler translates source code into machine code.

  • (A) is wrong: main is where running starts.
  • (B) is wrong: The processor runs machine code; it does not translate C.
  • (C) is wrong: printf prints text.

Re-read: Lesson 0.1.1 — Programs and instructions; source code → compiler → executable; the shape of a first C program (main, printf, return)

Q2 Answer: (C)1 mark

Output

ab
c	d
  • (A) is wrong: Escape sequences are not printed literally.
  • (B) is wrong: The \n starts a new line.
  • (D) is wrong: ab ends with a new line.

Re-read: Lesson 0.1.1 — Programs and instructions; source code → compiler → executable; the shape of a first C program (main, printf, return)

Q3 Answer: 51 mark

", H, i, ", new line: 5.

Re-read: Lesson 0.1.1 — Programs and instructions; source code → compiler → executable; the shape of a first C program (main, printf, return)

Q4 Answer: (A)2 marks

Output

AD// E

The // inside quotes is printed.

  • (B) is wrong: B and C are inside comments.
  • (C) is wrong: The // is part of the string literal and is printed.
  • (D) is wrong: The third printf prints "// E".

Re-read: Lesson 0.1.1 — Programs and instructions; source code → compiler → executable; the shape of a first C program (main, printf, return)

Q5 Answer: (A)2 marks

b = 6; a = 6 + 5 = 11; b = 11 + 6 = 17.

Output

11 17
  • (B) is wrong: a becomes 11.
  • (C) is wrong: Both values change.
  • (D) is wrong: b uses the new a = 11.

Re-read: Lesson 0.1.2 — Memory as numbered boxes: bits, bytes, addresses; a variable as a named box

Q6 Answer: 12191 mark

5 × 4 = 20 bytes: 1200 to 1219.

Re-read: Lesson 0.1.2 — Memory as numbered boxes: bits, bytes, addresses; a variable as a named box

Q7 Answer: (B) (C)1 mark

Keywords and leading digits are not allowed.

  • (A) is wrong: Starts with a digit.
  • (D) is wrong: int is a keyword.

Re-read: Lesson 0.1.2 — Memory as numbered boxes: bits, bytes, addresses; a variable as a named box

Q8 Answer: 91 mark

256 < 300 ≤ 512 = 2⁹: 9.

Re-read: Lesson 0.2.1 — Powers of 2 and logarithms; floor and ceiling

Q9 Answer: 152 marks

log₂ 2^15^ = 15; log₂ 1 = 0: 15.

Re-read: Lesson 0.2.1 — Powers of 2 and logarithms; floor and ceiling

Q10 Answer: (D)1 mark

4 + 3 = 7.

  • (A) is wrong: Floor and ceiling give whole numbers.
  • (B) is wrong: Uses 3 for both.
  • (C) is wrong: Uses 4 for both.

Re-read: Lesson 0.2.1 — Powers of 2 and logarithms; floor and ceiling

Q11 Answer: 92 marks

⌊log₂ 500⌋ + 1 = 8 + 1 = 9 (checked by simulation: 9).

Re-read: Lesson 0.2.1 — Powers of 2 and logarithms; floor and ceiling

Q12 Answer: 4651 mark

30 × 31/2 = 465.

Re-read: Lesson 0.2.2 — Sums of series (1+2+…+n, 1+2+4+…+2ⁿ); basic counting

Q13 Answer: 20472 marks

1024 = 2¹⁰: 2¹¹ − 1 = 2047.

Re-read: Lesson 0.2.2 — Sums of series (1+2+…+n, 1+2+4+…+2ⁿ); basic counting

Q14 Answer: (C)2 marks

12C2 = 12 × 11/2 = 66.

  • (A) is wrong: 12² counts each city with itself and each pair twice.
  • (B) is wrong: Counts each road twice.
  • (D) is wrong: Not a pair count.

Re-read: Lesson 0.2.2 — Sums of series (1+2+…+n, 1+2+4+…+2ⁿ); basic counting

Q15 Answer: (A) (C) (D)2 marks

5C2 = 5C3 = 10; 4! = 24, not 10.

  • (B) is wrong: 4! multiplies: 24.

Re-read: Lesson 0.2.2 — Sums of series (1+2+…+n, 1+2+4+…+2ⁿ); basic counting

If you got these wrong, re-read

QuestionMarksTopicRe-read
Q11ToolchainLesson 0.1.1
Q21OutputLesson 0.1.1
Q31Escape sequencesLesson 0.1.1
Q42CommentsLesson 0.1.1
Q52VariablesLesson 0.1.2
Q61AddressesLesson 0.1.2
Q71IdentifiersLesson 0.1.2
Q81BitsLesson 0.2.1
Q92LogsLesson 0.2.1
Q101CeilingLesson 0.2.1
Q112GuessingLesson 0.2.1
Q121SeriesLesson 0.2.2
Q132SeriesLesson 0.2.2
Q142CountingLesson 0.2.2
Q152CountingLesson 0.2.2

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