Numbers, Quantification and Numerical Applications — Important Questions
CBSE · Class 12 · Applied Mathematics
44 important questions from Numbers, Quantification and Numerical Applications for CBSE Class 12 Applied Mathematics, with answers.
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Important Questions from Numbers, Quantification and Numerical Applications
Find the number of divisors τ(18).
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6
The positive divisors of 18 are: 1, 2, 3, 6, 9, 18. Therefore, τ(18) = 6.
In what ratio must rice costing ₹60 per kg be mixed with rice costing ₹90 per kg to get a mixture worth ₹75 per kg?
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1:1
Using alligation rule: Ratio = (90-75):(75-60) = 15:15 = 1:1. The cheaper and dearer ingredients must be mixed in equal proportions.
A boat travels 20 km downstream and 12 km upstream in 2 hours each. Find the speed of the boat in still water.
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8 km/hr
Downstream speed = 20/2 = 10 km/hr, Upstream speed = 12/2 = 6 km/hr. Speed of boat = (10+6)/2 = 8 km/hr.
Two pipes can fill a tank in 6 hours and 8 hours respectively. How long will they take to fill the tank together?
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24/7 hours
Rate of first pipe = 1/6 per hour, Rate of second pipe = 1/8 per hour. Combined rate = 1/6 + 1/8 = 7/24 per hour. Time = 1 ÷ (7/24) = 24/7 hours.
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Sources & Official References
- NCERT Official — ncert.nic.in
- CBSE Academic — cbseacademic.nic.in
- CBSE Official — cbse.gov.in
- National Education Policy 2020 — education.gov.in
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