HPRCA · Numerical Ability

HCF questions with answers

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Five questions to begin your revision

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01Medium · ✓ Verified answer

HPRCA recruitment practice check: What is the highest common factor of 75 and 90?

  1. 30
  2. 14
  3. 15
  4. 16
Check answer and explanation +
C — 15

75 = 15 × 5 and 90 = 15 × 6. Since 5 and 6 are coprime, the HCF is 15. The displayed answer was independently recomputed during publication.

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

HPRCA recruitment high-priority drill: What is the highest common factor of 80 and 96?

  1. 15
  2. 16
  3. 17
  4. 32
Check answer and explanation +
B — 16

80 = 16 × 5 and 96 = 16 × 6. Since 5 and 6 are coprime, the HCF is 16. The displayed answer was independently recomputed during publication.

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

HPRCA recruitment foundation revision: What is the highest common factor of 85 and 102?

  1. 17
  2. 18
  3. 34
  4. 16
Check answer and explanation +
A — 17

85 = 17 × 5 and 102 = 17 × 6. Since 5 and 6 are coprime, the HCF is 17. The displayed answer was independently recomputed during publication.

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

HPRCA recruitment speed-building set: What is the highest common factor of 90 and 108?

  1. 19
  2. 36
  3. 17
  4. 18
Check answer and explanation +
D — 18

90 = 18 × 5 and 108 = 18 × 6. Since 5 and 6 are coprime, the HCF is 18. The displayed answer was independently recomputed during publication.

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

HPRCA recruitment accuracy checkpoint: What is the highest common factor of 95 and 114?

  1. 38
  2. 18
  3. 19
  4. 20
Check answer and explanation +
C — 19

95 = 19 × 5 and 114 = 19 × 6. Since 5 and 6 are coprime, the HCF is 19. The displayed answer was independently recomputed during publication.

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

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