AFCAT-AGN · Numerical Ability

HCF questions with answers

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

PRACTICE PREVIEW

Five questions to begin your revision

Open each answer only after choosing your own response.

01Medium · ✓ Verified answer

AFCAT and Agniveer practice check: What is the highest common factor of 165 and 198?

  1. 33
  2. 34
  3. 66
  4. 32
Check answer and explanation +
A — 33

165 = 33 × 5 and 198 = 33 × 6. Since 5 and 6 are coprime, the HCF is 33. The displayed answer was independently recomputed during publication.

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

AFCAT and Agniveer high-priority drill: What is the highest common factor of 170 and 204?

  1. 35
  2. 68
  3. 33
  4. 34
Check answer and explanation +
D — 34

170 = 34 × 5 and 204 = 34 × 6. Since 5 and 6 are coprime, the HCF is 34. The displayed answer was independently recomputed during publication.

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

AFCAT and Agniveer foundation revision: What is the highest common factor of 175 and 210?

  1. 70
  2. 34
  3. 35
  4. 36
Check answer and explanation +
C — 35

175 = 35 × 5 and 210 = 35 × 6. Since 5 and 6 are coprime, the HCF is 35. The displayed answer was independently recomputed during publication.

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

AFCAT and Agniveer speed-building set: What is the highest common factor of 180 and 216?

  1. 35
  2. 36
  3. 37
  4. 72
Check answer and explanation +
B — 36

180 = 36 × 5 and 216 = 36 × 6. Since 5 and 6 are coprime, the HCF is 36. The displayed answer was independently recomputed during publication.

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

AFCAT and Agniveer accuracy checkpoint: What is the highest common factor of 185 and 222?

  1. 37
  2. 38
  3. 74
  4. 36
Check answer and explanation +
A — 37

185 = 37 × 5 and 222 = 37 × 6. Since 5 and 6 are coprime, the HCF is 37. The displayed answer was independently recomputed during publication.

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

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