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Author: Study Clue

March 13, 2026 Study Clue

Chapter 4: Permutations, Combinations and Binomial Theorem (Set-5)

In permutations of numbers 1 to 7, the order must satisfy 1 before 2 before 3 A 720 B 1260

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March 13, 2026 Study Clue

Chapter 4: Permutations, Combinations and Binomial Theorem (Set-4)

A school chooses President, Vice-President, and two different captains from 10 students, all roles distinct A B. 210 B C.

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March 13, 2026 Study Clue

Chapter 4: Permutations, Combinations and Binomial Theorem (Set-3)

In how many ways can 3 positions be filled from 9 distinct students, without repetition A 720 B 84 C

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March 13, 2026 Study Clue

Chapter 4: Permutations, Combinations and Binomial Theorem (Set-2)

For nPr, r must satisfy A r > n B r ≤ n C r < 0 D r =

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March 13, 2026 Study Clue

Chapter 4: Permutations, Combinations and Binomial Theorem (Set-1)

Which symbol denotes factorial? A n! B n^2 C n+1 D n/2 Explanation Factorial of n is written as n!

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March 13, 2026 Study Clue

Chapter 3: Real Numbers, Complex Numbers and Quadratic Expressions (Set-5)

A number x satisfies the distance condition ∣x−1∣+∣x−5∣=10∣x−1∣+∣x−5∣=10; what are the possible values of x A x = −2 only

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March 13, 2026 Study Clue

Chapter 3: Real Numbers, Complex Numbers and Quadratic Expressions (Set-4)

If xx lies in the interval [−2,5)[−2,5), which statement is always true A x > 5 B x ≤ 5

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March 13, 2026 Study Clue

Chapter 3: Real Numbers, Complex Numbers and Quadratic Expressions (Set-3)

The decimal 0.375 can be written as a fraction, so it belongs to which set A Natural numbers B Integers

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March 13, 2026 Study Clue

Chapter 3: Real Numbers, Complex Numbers and Quadratic Expressions (Set-2)

Which statement defines rational numbers? A B. Non-terminating non-repeating B C. Only positive numbers C D. Only whole numbers D

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March 13, 2026 Study Clue

Chapter 3: Real Numbers, Complex Numbers and Quadratic Expressions (Set-1)

Which set contains 0 and negative numbers? A Natural numbers B Whole numbers C Integers D Irrationals Explanation Integers include

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