Directions How to Answer

Aptitude Test Topic: Problem Solving

Quantitative questions without Geometry and Data Interpretation.

This section of the test evaluate your understanding of simple arithmetic and mathematical logic based on the arithmetic.

Directions

Solve each problem and indicate the best of the answer choices given.

Numbers

All numbers used are real numbers.

Figures

Figures are drawn as accurately as possible EXCEPT when it is stated in a specific problem that its figure is not drawn to scale. Straight lines may sometimes appear jagged. All figures lie on a plane unless otherwise indicated.

To give the answer click/tap the option alphabet for your answer choice. for correct answer green check and for wrong answer a red cross will appear along with a button to show explanation with or without video of the question answer.

Problem Solving: Permutation and Combination Practice MCQ

Question Statement:

A bag contains 2 white balls, 3 black balls and 4 red balls. In how many ways can 3 balls be drawn from the bag, if at least one black ball is to be included in the draw

128

132

222

Explanation:

Correct Answer: A

From 2 white balls, 3 black balls, and 4 red balls, 3 balls are to be selected such that at least one black ball should be there.

Hence we have 3 choices

Three are black

Two are black and one is non black

One is black and two are non black

Total number of ways = ³C₃ + (³C₂ x ⁶C₁) + (³C₁ x ⁶C₂) [because 6 are non black]

=1+[3×6]+[3×(6× $\frac{5}{2}$ ×1)]=1+18+45=64

Question: 4 Test: 1 of 2 Next Test

Tests

You are taking Aptitude Test No. 1

Each aptitude test is comprised of 10 except the last test which might have fewer than 10 in some topics.

You are at question (MCQ) number 4 and Test Number 1 of Problem Solving: Permutation and Combination. To deal with Problem Solving questions, you must take lesson on the subject. In case of science and Art subjects revise your text books and in case of general aptitude topics take lessons from the topic page.

The question: A bag contains 2 white balls, 3 black balls and 4 red balls. In how many ways can 3 balls be drawn f .... with options: 64, 128, 132, 222 can be solved with the concepts and understanding of Problem Solving.