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Saitechinfo Flash Test | Direct Proportions

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1. Check if the parking charges (4h: ₹60, 8h: ₹100, 12h: ₹140, 24h: ₹180) are in direct proportion to time.
Answer: no
Ratio $C/T$ is not constant ($60/4=15 \neq 100/8=12.5$).
2. If 1 part red pigment needs 8 parts base, how many parts of base are needed for 4 parts red pigment?
parts
Answer: 32
$4 \times 8 = 32$.
3. If 1 part red pigment requires 75 mL of base, how much red pigment is needed for 1800 mL of base?
parts
Answer: 24
$1800 / 75 = 24$.
4. A machine fills 840 bottles in 6 hours. How many bottles will it fill in 5 hours?
bottles
Answer: 700
$(840/6) \times 5 = 700$.
5. Bacteria enlarged 50,000 times is 5 cm. What is its enlarged length if enlarged only 20,000 times?
cm
Answer: 2
$(5/50000) \times 20000 = 2$.
6. A model mast is 9 cm for an actual 12 m mast. If actual ship length is 28 m, find model length.
cm
Answer: 21
$(9/12) \times 28 = 21$.
7. 2 kg sugar contains $9 \times 10^6$ crystals. How many crystals (in millions) in 5 kg?
$\times 10^6$
Answer: 22.5
$(9/2) \times 5 = 22.5$.
8. Scale: 1 cm = 18 km. If distance covered is 72 km, find map distance.
cm
Answer: 4
$72 / 18 = 4$.
9. A 5.6 m pole casts a 3.2 m shadow. Find the shadow of a 10.5 m pole.
m
Answer: 6
$(3.2 / 5.6) \times 10.5 = 6$.
10. A truck travels 14 km in 25 mins. How far can it travel in 5 hours?
km
Answer: 168
5 hrs = 300 mins. $(14/25) \times 300 = 168$.