Class 11 Mathematics · Chapter 8 · Test 4
Binomial Applications and Pascal
36 MCQs Covers Pascal’s triangle and its diagonals, and approximating roots and powers with the binomial theorem.
36 questions · 30 min · 36 marks
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Sample questions
The first 5 of 36. Try each one, then tap to see the answer.
Question 1
The first row (n = 0) of Pascal's triangle is:
- A0
- B1 1
- C1 2 1
- D1
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Answer: D
Row 0 has the single entry 1.
Question 2
Each row of Pascal's triangle begins and ends with:
- A0
- B1
- Cn
- D2
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Answer: B
nC0 = nCn = 1.
Question 3
Every interior entry of Pascal's triangle is:
- Athe sum of the two entries directly above it
- Bthe product of the two entries above it
- Cthe difference of the two entries above it
- Dthe average of the two entries above it
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Answer: A
This is the rule nCr = (n-1)C(r-1) + (n-1)Cr.
Question 4
The row of Pascal's triangle for n = 4 is:
- A1 3 3 1
- B1 4 4 1
- C1 4 6 4 1
- D1 5 10 5 1
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Answer: C
These are the binomial coefficients 4C0 to 4C4.
Question 5
The second diagonal of Pascal's triangle contains:
- Athe number 1 only
- Btriangular numbers
- Ctetrahedral numbers
- Dthe natural numbers
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Answer: D
The second diagonal reads 1 2 3 4 5 ... .
More tests in Mathematical Induction and Binomial Theorem
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