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Numbers, Quantification and Numerical Applications — Practice Quiz

CBSE · Class 12 · Applied Mathematics

Try a 4-question quiz on Numbers, Quantification and Numerical Applications for CBSE Class 12 Applied Mathematics: tap an answer to check it and see why.

44 questions24 flashcards2 formulas & key relations5 concepts

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Quick Quiz: Numbers, Quantification and Numerical Applications

0/4

Tap an answer to check it instantly. No sign-up needed for these 4.

1

Find 47 mod 8.

2

If 25 ≡ x (mod 7), find the smallest positive value of x.

3

Calculate (15 × 23) mod 6.

4

Find φ(12), where φ is Euler's totient function.

44 Questions·
multiple choicemultiple correcttext answertrue falsematchingshort answerlong answer

Sample Questions

1multiple choice

Find the number of divisors τ(18).

Show answer

6

The positive divisors of 18 are: 1, 2, 3, 6, 9, 18. Therefore, τ(18) = 6.

2multiple choice

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?

Show answer

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.

3multiple choice

A boat travels 20 km downstream and 12 km upstream in 2 hours each. Find the speed of the boat in still water.

Show answer

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.

4multiple choice

Two pipes can fill a tank in 6 hours and 8 hours respectively. How long will they take to fill the tank together?

Show answer

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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Frequently Asked Questions

What are the important topics in Numbers, Quantification and Numerical Applications for CBSE Class 12 Applied Mathematics?
Key topics in Numbers, Quantification and Numerical Applications include Modular Arithmetic, Simple Arithmetic Functions, Alligation and Mixture, Boats and Streams. Study these first, then practise questions on each for the CBSE Class 12 board exam.
How many practice questions are there for Numbers, Quantification and Numerical Applications?
There are 44 questions on Numbers, Quantification and Numerical Applications. Try the 4-question sample quiz on this page first; each answer shows an explanation when you tap it.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

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