HPAS · General Aptitude

HCF questions with answers

Build accuracy with explanation-led practice, then open a focused search or timed exam drill.

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PRACTICE PREVIEW

Five questions to begin your revision

Open each answer only after choosing your own response.

01Medium · ✓ Verified answer

HP Administrative Services practice check: What is the highest common factor of 35 and 42?

  1. 14
  2. 6
  3. 7
  4. 8
Check answer and explanation +
C — 7

35 = 7 × 5 and 42 = 7 × 6. Since 5 and 6 are coprime, the HCF is 7. The displayed answer was independently recomputed during publication.

Source: NCERT Mathematics Classes VI–X · HCF; mapped to the published HP Administrative Services quantitative/numeracy area; answer independently recomputed. Syllabus-aligned practice—not a previous-year question.
02Medium · ✓ Verified answer

HP Administrative Services high-priority drill: What is the highest common factor of 40 and 48?

  1. 7
  2. 8
  3. 9
  4. 16
Check answer and explanation +
B — 8

40 = 8 × 5 and 48 = 8 × 6. Since 5 and 6 are coprime, the HCF is 8. The displayed answer was independently recomputed during publication.

Source: NCERT Mathematics Classes VI–X · HCF; mapped to the published HP Administrative Services quantitative/numeracy area; answer independently recomputed. Syllabus-aligned practice—not a previous-year question.
03Medium · ✓ Verified answer

HP Administrative Services foundation revision: What is the highest common factor of 45 and 54?

  1. 9
  2. 10
  3. 18
  4. 8
Check answer and explanation +
A — 9

45 = 9 × 5 and 54 = 9 × 6. Since 5 and 6 are coprime, the HCF is 9. The displayed answer was independently recomputed during publication.

Source: NCERT Mathematics Classes VI–X · HCF; mapped to the published HP Administrative Services quantitative/numeracy area; answer independently recomputed. Syllabus-aligned practice—not a previous-year question.
04Medium · ✓ Verified answer

HP Administrative Services speed-building set: What is the highest common factor of 50 and 60?

  1. 11
  2. 20
  3. 9
  4. 10
Check answer and explanation +
D — 10

50 = 10 × 5 and 60 = 10 × 6. Since 5 and 6 are coprime, the HCF is 10. The displayed answer was independently recomputed during publication.

Source: NCERT Mathematics Classes VI–X · HCF; mapped to the published HP Administrative Services quantitative/numeracy area; answer independently recomputed. Syllabus-aligned practice—not a previous-year question.
05Medium · ✓ Verified answer

HP Administrative Services accuracy checkpoint: What is the highest common factor of 55 and 66?

  1. 22
  2. 10
  3. 11
  4. 12
Check answer and explanation +
C — 11

55 = 11 × 5 and 66 = 11 × 6. Since 5 and 6 are coprime, the HCF is 11. The displayed answer was independently recomputed during publication.

Source: NCERT Mathematics Classes VI–X · HCF; mapped to the published HP Administrative Services quantitative/numeracy area; answer independently recomputed. Syllabus-aligned practice—not a previous-year question.
✓

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