NDA-CDS · Mathematics

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

NDA and CDS practice check: 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 NDA and CDS quantitative/numeracy area; answer independently recomputed. Syllabus-aligned practice—not a previous-year question.
02Medium · ✓ Verified answer

NDA and CDS high-priority drill: What is the highest common factor of 100 and 120?

  1. 19
  2. 20
  3. 21
  4. 40
Check answer and explanation +
B — 20

100 = 20 × 5 and 120 = 20 × 6. Since 5 and 6 are coprime, the HCF is 20. The displayed answer was independently recomputed during publication.

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

NDA and CDS foundation revision: What is the highest common factor of 105 and 126?

  1. 21
  2. 22
  3. 42
  4. 20
Check answer and explanation +
A — 21

105 = 21 × 5 and 126 = 21 × 6. Since 5 and 6 are coprime, the HCF is 21. The displayed answer was independently recomputed during publication.

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

NDA and CDS speed-building set: What is the highest common factor of 110 and 132?

  1. 23
  2. 44
  3. 21
  4. 22
Check answer and explanation +
D — 22

110 = 22 × 5 and 132 = 22 × 6. Since 5 and 6 are coprime, the HCF is 22. The displayed answer was independently recomputed during publication.

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

NDA and CDS accuracy checkpoint: What is the highest common factor of 115 and 138?

  1. 46
  2. 22
  3. 23
  4. 24
Check answer and explanation +
C — 23

115 = 23 × 5 and 138 = 23 × 6. Since 5 and 6 are coprime, the HCF is 23. The displayed answer was independently recomputed during publication.

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

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