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Important Questions

Numbers, Quantification and Numerical Applications

CBSE · Class 12 · Applied Mathematics

Most important questions from Numbers, Quantification and Numerical Applications for CBSE Class 12 Applied Mathematics board exam 2026. MCQs, short answer, and long answer questions with marks.

48 questions24 flashcards5 concepts

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48 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?
Numbers, Quantification and Numerical Applications covers several key topics that are frequently asked in CBSE Class 12 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
How to score full marks in Numbers, Quantification and Numerical Applications — CBSE Class 12 Applied Mathematics?
Understand the core concepts first, then work through the 48 practice questions available for this chapter. Revise formulas and definitions regularly, and use flashcards for quick recall before the exam.
How many important questions are there in Numbers, Quantification and Numerical Applications?
There are 48 practice questions available for Numbers, Quantification and Numerical Applications. These cover multiple question types including MCQs, short answer, and long answer questions.

Sources & Official References

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

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