Arithmetic Aptitude - BBA Examination BBA-501
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Questions and Answers

Which of the following is the greater ratio: 3:4 and 4:5?

  • 3:4
  • 4:5 (correct)
  • Both (A) & (B)
  • None of the above

The inverse of a matrix exists when:

  • |A| = 1
  • |A| = 0
  • |A| ≠ 0 (correct)
  • |A| ≠ 1

Find the value of ⁶C₁ + ₂C₁.

  • 7
  • 9
  • 8
  • 10 (correct)

For matrix addition, which is true?

<p>All of the above (D)</p> Signup and view all the answers

If x:7 :: 5:4, find the value of x:

<p>6.25 (A)</p> Signup and view all the answers

In an examination, 50 candidates passed and 10 candidates failed. What is the ratio of passed to failed candidates?

<p>5:1 (B)</p> Signup and view all the answers

What sum will amount to Rs. 33,075 in two years at 5% per annum compound interest?

<p>30,000 (B)</p> Signup and view all the answers

What will be the simple interest on Rs. 8,000 for 6 years at an annual rate of 5%?

<p>2400 (D)</p> Signup and view all the answers

Find the value of ¹¹P₁.

<p>7,920 (D)</p> Signup and view all the answers

In how many ways can the word 'BANKER' be rearranged?

<p>720 (B)</p> Signup and view all the answers

Formula for calculating compound amount when interest is compounded annually:

<p>Amount = P[1 + (r/100)]^t (D)</p> Signup and view all the answers

The ratio between the number of boys and girls in a class is 1:3. If the number of boys is 11, what is the total number of students in the class?

<p>22 (A)</p> Signup and view all the answers

In how many ways can 8 persons sit around a circular table?

<p>5040 (A)</p> Signup and view all the answers

If 36 men can do a certain piece of work in 25 days, how many days will 15 men take to do it?

<p>60 days (C)</p> Signup and view all the answers

Value of 1°C₁ is equals to:

<p>120 (B)</p> Signup and view all the answers

Aman took a loan of ₹18,000 for 5 years at simple interest. If the total interest paid is Rs. 3600, what is the rate of interest per annum?

<p>5% (D)</p> Signup and view all the answers

How many words can be made by 25 consonants and 5 vowels where it contains 2 consonants and 3 vowels?

<p>3,60,000 (D)</p> Signup and view all the answers

The tabular form of the set P={x:x∈N, x < 6} will be:

<p>P={1, 2, 3, 4, 5} (A)</p> Signup and view all the answers

Log₁₀¹⁰ =?

<p>1 (A)</p> Signup and view all the answers

If A = {1, 2, 3, 4, 5}, B = {4, 5, 6, 7, 8}, C = {7, 8, 9, 10}, D = {10, 11, 12, 13, 14}, then A∪B =?

<p>{1, 2, 3, 4, 5, 6, 7, 8} (C)</p> Signup and view all the answers

Log (1+2+3) =?

<p>log (1 × 2 × 3) (C)</p> Signup and view all the answers

If A = {1, 2, 3, 4, 5}, B = {2, 4, 6, 8}, and C = {3, 5, 7}, then: A∪(B∪C) =?

<p>{1, 2, 3, 4, 5, 6 , 7, 8} (B)</p> Signup and view all the answers

A man bought a watch for Rs. 80/- and sells it for Rs. 120. What will be the profit percentage?

<p>50% (A)</p> Signup and view all the answers

Flashcards

Ratio

A comparison of two quantities with a specific order.

Matrix Inverse

The inverse of a matrix exists only if its determinant is not zero.

Combinations

Calculating the number of ways to choose items from a set, without regard to order.

Matrix Addition

Adding matrices by adding corresponding elements.

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Permutations

Calculating the number of ways to arrange items in a specific order.

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Compound Interest

Interest calculated on the principal amount, plus any accumulated interest.

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Simple Interest

Interest calculated only on the principal amount, not on accumulated interest.

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Circular Permutations

Arranging items in a circle, where the starting point doesn't matter.

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Work and Time

Relating the number of people or resources to the time taken to complete a task.

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Logarithms

A function that determines the exponent to which a base must be raised to obtain a given argument.

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Sets

A collection of distinct elements, often denoted by curly braces.

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Profit Percentage

The percentage profit earned on the cost price of an item.

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Tabular form of a set

Representing the elements of a set in a table.

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Logarithmic Properties

A rule that states that the logarithm of a number to its own base always equals 1.

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Factorials

The product of all positive integers from 1 to a given positive integer.

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Exclamation Mark (!)

A symbol used to denote the factorial of a number.

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Arithmetic

The ability to add, subtract, multiply, and divide numbers.

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Matrix

A mathematical tool for organizing and representing data in rows and columns.

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Determinant of a Matrix

The value obtained by multiplying the elements of the main diagonal of a square matrix and subtracting the product of the elements of the other diagonal.

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Union of Sets (A∪B)

The sum of all elements in a set.

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Intersection of Sets (A∩B)

The elements that belong to all sets in a collection.

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Matrix Inversion

The process of finding the inverse of a matrix.

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Compound Interest Formula

The formula for calculating the amount in compound interest.

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Simple Interest Formula

The formula for calculating simple interest.

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Study Notes

Arithmetic Aptitude - BBA Examination

  • Exam Code: BBA-501
  • Total Questions: 100
  • Maximum Marks: 75
  • Time Allowed: 2 Hours
  • All questions carry equal marks.
  • Candidates need to answer all questions on the OMR Answer Sheet provided, not on the question booklet.

Key Concepts

  • Ratio: Demonstrated through the example of 3:4 and 4:5, where the problem asks which is the greater ratio.
  • Matrix Inverse: The inverse of a matrix exists only when the determinant of the matrix is not equal to zero (|A| ≠ 0).
  • Combinations: Demonstrated through the example ⁶C₁+ ₂C₁, where the problem asks to find the value of the expression.
  • Matrix Addition: Matrix addition follows the commutative, associative, and cancellation laws.
  • Permutations: Illustrated by calculating ¹¹P₁, which represents the number of ways to arrange 11 items in a line.
  • Compound Interest: Defined by the formula Amount = P[1 + (r/100)]^t, where 'P' is the principal, 'r' is the rate of interest per annum, and 't' is the time period.
  • Simple Interest: Calculated using the formula Simple Interest = (P * R * T) / 100, where 'P' is the principal, 'R' is the rate of interest per annum, and 'T' is the time period.
  • Circular Permutations: Solved by using the formula (n-1)!, where 'n' is the number of objects being arranged in a circle.
  • Work and Time: Explored through the example of 36 men completing a task in 25 days, asking the time required for 15 men to complete the same task.
  • Logarithms: Defined by the equation log a b = c, where 'a' is the base, 'b' is the argument, and 'c' is the exponent.
  • Sets: Covered by exploring the union of sets A∪B and A∪(B∪C).
  • Profit Percentage: Calculated as (Selling Price - Cost Price) / Cost Price * 100.
  • Tabular form of a set: Demonstrated by representing the set P={x:x∈N, x < 6} in tabular form.
  • Logarithmic Properties: The example Log₁₀¹⁰ illustrates the principle that log a a = 1.
  • Factorials: Explained through the problem: In how many ways can the word "BANKER" be rearranged?, where the answer is 6!, representing the number of ways to arrange 6 distinct items.

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Test your skills in arithmetic aptitude for the BBA examination with this comprehensive quiz. Covering key concepts such as ratios, matrix operations, combinations, permutations, and compound interest, this quiz challenges your understanding and application of these mathematical principles. Perfect for candidates preparing for the BBA-501 exam.

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