HPFAS · Practical Arithmetic

Ratio and Proportion questions with answers

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Five questions to begin your revision

Open each answer only after choosing your own response.

01Easy · ✓ Verified answer

HPF&AS practice check: 108 items are divided in the ratio 2:4. How many items are in the smaller share?

  1. 18
  2. 36
  3. 72
  4. 54
Check answer and explanation +
B — 36

The ratio has 6 parts, so each part is 108 ÷ 6 = 18. The smaller share is 2 × 18 = 36. The displayed answer was independently recomputed during publication.

Source: NCERT Mathematics Classes VI–X · Ratio and Proportion; mapped to the published HPF&AS quantitative/numeracy area; answer independently recomputed. Syllabus-aligned practice—not a previous-year question.
02Easy · ✓ Verified answer

HPF&AS high-priority drill: 152 items are divided in the ratio 3:5. How many items are in the smaller share?

  1. 57
  2. 95
  3. 76
  4. 38
Check answer and explanation +
A — 57

The ratio has 8 parts, so each part is 152 ÷ 8 = 19. The smaller share is 3 × 19 = 57. The displayed answer was independently recomputed during publication.

Source: NCERT Mathematics Classes VI–X · Ratio and Proportion; mapped to the published HPF&AS quantitative/numeracy area; answer independently recomputed. Syllabus-aligned practice—not a previous-year question.
03Easy · ✓ Verified answer

HPF&AS foundation revision: 200 items are divided in the ratio 4:6. How many items are in the smaller share?

  1. 120
  2. 100
  3. 60
  4. 80
Check answer and explanation +
D — 80

The ratio has 10 parts, so each part is 200 ÷ 10 = 20. The smaller share is 4 × 20 = 80. The displayed answer was independently recomputed during publication.

Source: NCERT Mathematics Classes VI–X · Ratio and Proportion; mapped to the published HPF&AS quantitative/numeracy area; answer independently recomputed. Syllabus-aligned practice—not a previous-year question.
04Easy · ✓ Verified answer

HPF&AS speed-building set: 252 items are divided in the ratio 5:7. How many items are in the smaller share?

  1. 126
  2. 84
  3. 105
  4. 147
Check answer and explanation +
C — 105

The ratio has 12 parts, so each part is 252 ÷ 12 = 21. The smaller share is 5 × 21 = 105. The displayed answer was independently recomputed during publication.

Source: NCERT Mathematics Classes VI–X · Ratio and Proportion; mapped to the published HPF&AS quantitative/numeracy area; answer independently recomputed. Syllabus-aligned practice—not a previous-year question.
05Easy · ✓ Verified answer

HPF&AS accuracy checkpoint: 132 items are divided in the ratio 2:4. How many items are in the smaller share?

  1. 22
  2. 44
  3. 88
  4. 66
Check answer and explanation +
B — 44

The ratio has 6 parts, so each part is 132 ÷ 6 = 22. The smaller share is 2 × 22 = 44. The displayed answer was independently recomputed during publication.

Source: NCERT Mathematics Classes VI–X · Ratio and Proportion; mapped to the published HPF&AS quantitative/numeracy area; answer independently recomputed. Syllabus-aligned practice—not a previous-year question.
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