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MathsMediumMCQ2021 ยท 25 Feb Shift 1

Q63.The total number of positive integral solutions (x, y, z) such that xyz = 24 is : (1) 45 (2) 30 (3) 36 (4) 24

What This Question Tests

This question tests the ability to find the number of positive integral solutions for an equation like xyz = N, by distributing the prime factors of N among x, y, and z.

Concepts Tested

Prime factorizationCombinations for positive integral solutions

Formulas Used

Number of ways to distribute prime factors

๐Ÿ“š NCERT Sections This Tests

1.1 โ€” Define The Term Solution. How Many Types Of Solutions Are Formed? Write Briefly

Chemistry Class 11 ยท Chapter 1

72% match

1.1 Define the term solution. How many types of solutions are formed? Write briefly about each type with an example.

1.3 โ€” Define The Following Terms:

Chemistry Class 11 ยท Chapter 1

72% match

1.3 Define the following terms: (i) Mole fraction (ii) Molality (iii) Molarity (iv) Mass percentage.

5.28 โ€” How Many Ions Are Produced From The Complex Co(Nh3)6Cl2 In Solution?

Chemistry Class 11 ยท Chapter 5

71% match

5.28 How many ions are produced from the complex Co(NH3)6Cl2 in solution? (i) 6 (ii) 4 (iii) 3 (iv) 2 139 Coordination Compounds Reprint 2025-26

๐Ÿ“‹ Question Details

Chapter
Permutation & Combination
Topic
Number of Divisors
Year
2021
Shift
25 Feb Shift 1
Q Number
Q63
Type
MCQ
NCERT Ref
Class 11 Mathematics Ch 7: Permutation & Combination

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