HPRCA-T · Quantitative Aptitude

Ratio and Proportion questions with answers

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PRACTICE PREVIEW

Five questions to begin your revision

Open each answer only after choosing your own response.

01Medium · ✦ AI-labelled practice

HPRCA teacher recruitment foundation practice set 1: 40 items are divided in the ratio 2:8. How many items are in the first share?

  1. 32
  2. 12
  3. 4
  4. 8
Check answer and explanation +
D — 8

The ratio contains 10 equal parts. Each part is 40 ÷ 10 = 4, so the first share is 2 × 4 = 8. The numerical key was independently recomputed during batch preparation.

Source: NCERT foundational numeracy and reasoning practice · mapped to HPRCA teacher recruitment; original syllabus-aligned practice, not a previous-year question; answer independently recomputed.
02Medium · ✦ AI-labelled practice

HPRCA teacher recruitment foundation practice set 2: 60 items are divided in the ratio 3:9. How many items are in the first share?

  1. 20
  2. 10
  3. 15
  4. 45
Check answer and explanation +
C — 15

The ratio contains 12 equal parts. Each part is 60 ÷ 12 = 5, so the first share is 3 × 5 = 15. The numerical key was independently recomputed during batch preparation.

Source: NCERT foundational numeracy and reasoning practice · mapped to HPRCA teacher recruitment; original syllabus-aligned practice, not a previous-year question; answer independently recomputed.
03Medium · ✦ AI-labelled practice

HPRCA teacher recruitment foundation practice set 3: 42 items are divided in the ratio 4:3. How many items are in the first share?

  1. 40
  2. 24
  3. 18
  4. 30
Check answer and explanation +
B — 24

The ratio contains 7 equal parts. Each part is 42 ÷ 7 = 6, so the first share is 4 × 6 = 24. The numerical key was independently recomputed during batch preparation.

Source: NCERT foundational numeracy and reasoning practice · mapped to HPRCA teacher recruitment; original syllabus-aligned practice, not a previous-year question; answer independently recomputed.
04Medium · ✦ AI-labelled practice

HPRCA teacher recruitment foundation practice set 4: 63 items are divided in the ratio 5:4. How many items are in the first share?

  1. 35
  2. 28
  3. 42
  4. 52
Check answer and explanation +
A — 35

The ratio contains 9 equal parts. Each part is 63 ÷ 9 = 7, so the first share is 5 × 7 = 35. The numerical key was independently recomputed during batch preparation.

Source: NCERT foundational numeracy and reasoning practice · mapped to HPRCA teacher recruitment; original syllabus-aligned practice, not a previous-year question; answer independently recomputed.
05Medium · ✦ AI-labelled practice

HPRCA teacher recruitment foundation practice set 5: 88 items are divided in the ratio 6:5. How many items are in the first share?

  1. 40
  2. 56
  3. 66
  4. 48
Check answer and explanation +
D — 48

The ratio contains 11 equal parts. Each part is 88 ÷ 11 = 8, so the first share is 6 × 8 = 48. The numerical key was independently recomputed during batch preparation.

Source: NCERT foundational numeracy and reasoning practice · mapped to HPRCA teacher recruitment; original syllabus-aligned practice, not a previous-year question; answer independently recomputed.
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