BBA Examination Dec.-2023: Arithmetic Aptitude
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Questions and Answers

How many more boys than girls are there in college 3?

  • 812
  • 792
  • 822
  • 802 (correct)

What is the average number of girls in all the colleges?

  • 1487
  • 1485 (correct)
  • 1492
  • 1483

Which college has the minimum number of boys?

  • 3
  • 6
  • 2
  • 5 (correct)

What percentage of boys in college 4 are the boys in college 1?

<p>69% (D)</p> Signup and view all the answers

If the number of boys in each college is reduced by half, how many girls will be there in all the colleges together?

<p>15280 (A)</p> Signup and view all the answers

If the side of a square is increased by 25%, what is the percentage increase of its area?

<p>156.25 (A)</p> Signup and view all the answers

What is the banker’s discount if the true discount on a bill of Rs. 540 is Rs. 90?

<p>Rs. 180 (D)</p> Signup and view all the answers

Identify the type of function f(x) = x² + 4n + 4.

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

Which of the following numbers is irrational?

<p>√7 (C)</p> Signup and view all the answers

Given the statement 'Some actors are singers. All the singers are dancers,' what can be concluded?

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

What is the larger number if the H.C.F. of two numbers is 23 and their other factors of LCM are 13 and 14?

<p>345 (C)</p> Signup and view all the answers

How long will a train take to pass a platform of 650 m if it is 240 m long and passes a pole in 24 seconds?

<p>100 seconds (C)</p> Signup and view all the answers

What is the speed of each train in km/hr if two trains, each 120 meters long, cross each other in 12 seconds?

<p>36 (C)</p> Signup and view all the answers

What will be the third digit of the second lowest number when the first and third digits of each number are interchanged?

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

What is the difference between the second digit of the lowest number and the second digit of the highest number in the list?

<p>2 (D)</p> Signup and view all the answers

How many times do the hands of a clock meet at right angles in one day?

<p>44 (B)</p> Signup and view all the answers

What is the number of rows and columns in the given matrix: | 8 | | - | | 9 | | 10 | | 11 |?

<p>4 rows 1 column (C)</p> Signup and view all the answers

Which classification fits the matrix | 5 | -1 | | 4 | 2 | | 3 |?

<p>Column Matrix (C)</p> Signup and view all the answers

How can the matrix | 1 | 0 | 0 | | 0 | 1 | 0 | | 0 | 0 | 1 | be classified?

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

What is the result of the matrix addition A + B where A = [5 4] [3 2] and B = [1 0] [2 5]?

<p>[6 4] [5 7] (A)</p> Signup and view all the answers

What is the result of [A - B] where A = [5 4] [3 2] and B = [1 0] [2 5]?

<p>[4 4] [1 -3] (D)</p> Signup and view all the answers

Which ratio is greater between 3:4 and 4:5?

<p>4:5 (B)</p> Signup and view all the answers

When does the inverse of a matrix exist?

<p>|A|&gt;0 (D)</p> Signup and view all the answers

Calculate the value of ⁵C₄ + ²C₁.

<p>9 (D)</p> Signup and view all the answers

Which law is not true for matrix addition?

<p>Distribution Law (C)</p> Signup and view all the answers

If x:7::5:4, what is the value of x?

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

What is the ratio of passed to failed candidates if 50 passed and 10 failed?

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

What principal amount will yield Rs. 33,075 in two years at 5% compound interest?

<p>20,000₹ (D)</p> Signup and view all the answers

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

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

What is the value of ¹¹P₄?

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

How many ways can the word 'BANKER' be rearranged?

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

What is the total number of students in a class if the ratio of boys to girls is 1:3 and there are 11 boys?

<p>44 (B)</p> Signup and view all the answers

If 36 men can complete a piece of work in 25 days, how many days will it take for 15 men to complete the same work?

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

What is the value of $^{10}C_{6}$?

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

What is the profit percentage if a watch is bought for Rs. 80 and sold for Rs. 120?

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

How can the set P={x:x∈N, x<6} be correctly represented?

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

If A={1,2,3,4,5}, B={4,5,6,7,8}, and C={7,8,9,10}, what is the result of AU(BUC)?

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

If Aman took a loan of ₹18,000 for 5 years with a total interest of ₹3,600, what is the rate of interest per annum?

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

What is the result of the matrix multiplication AB where A = [1 2] and B = [-2 1; 2 4]?

<p>[6 9; -2 2] (A)</p> Signup and view all the answers

Is matrix A = [1 -1 2 3] comfortable for the product with matrix B = [0 1; 2 3]?

<p>No (B)</p> Signup and view all the answers

What is the determinant of the matrix [3 1; 5 6]?

<p>13 (C)</p> Signup and view all the answers

What is the central angle of the girls in school B if there are 594 girls in total?

<p>64.8° (B)</p> Signup and view all the answers

How much more are the total girls in school 'D' compared to school 'E'?

<p>264 (D)</p> Signup and view all the answers

What is the total number of girls in schools 'A' and 'D' together?

<p>1408 (A)</p> Signup and view all the answers

If the ratio of girls to boys in school F is 9:8, what is the total number of students in that school?

<p>561 (B)</p> Signup and view all the answers

What percentage less is the total number of girls in school 'C' compared to school 'A'?

<p>25% (A)</p> Signup and view all the answers

Flashcards

Greater ratio between 3:4 and 4:5

The ratio 4:5 is greater than 3:4

Inverse matrix condition

An inverse matrix exists if the determinant of the matrix is not zero

⁵C₄ + ²C₁

The value of the expression is 10

Matrix addition operation

Matrix addition follows the commutative and associative laws

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Value of x in proportion x:7::5:4

x = 8.75

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Ratio of passed and failed candidates (50 passed, 10 failed)

The ratio is 5:1

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Compound Interest amount

The future amount of an initial sum invested for a specific duration with a certain compound interest rate

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Simple Interest calculation

Interest calculated on the principal amount only, without considering interest earned previously

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¹¹P₄ value

The value of the permutation is 7920

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Mathematics Exam

Examination conducted for students enrolled in the BBA program, focusing on Arithmetic Aptitude

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Square's Area Increase

If the side of a square is increased by 25%, its area increases by 56.25%.

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True Discount

True discount is the actual discount on the face value of a bill, calculated at a certain rate of interest.

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Banker's Discount

Banker's discount is the interest charged by a banker for discounting a bill.

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Even Function

A function f(x) is even if f(-x) = f(x) for all values of x.

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Irrational Number

An irrational number cannot be expressed as a simple fraction (a/b) where a and b are integers.

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Logarithm

The logarithm of a number x to a base a is the exponent to which a must be raised to produce x, written as: logₐx = b, where aᵇ = x.

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Syllogism

A syllogism is a logical argument that applies deductive reasoning to arrive at a conclusion.

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H.C.F. and LCM

The H.C.F. (Highest Common Factor) of two numbers is the greatest number that divides both of them without leaving a remainder. The LCM (Least Common Multiple) is the smallest number divisible by both numbers.

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Interchange digits

Swap the first and third digits of each number. Then find the third digit of the second lowest number.

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Digit difference

Find the difference between the second digits of the lowest and highest numbers.

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Right angle clock

How many times do the clock hands form a 90-degree angle in a 24-hour period?

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Matrix dimensions

Determine the number of rows and columns in the matrix.

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Row matrix

A matrix with only one row.

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Column matrix

A matrix with only one column.

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Identity matrix

A square matrix where the diagonal elements are 1 and all other elements are 0.

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Matrix addition

Adding two matrices by adding corresponding elements.

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Permutation of 'BANKER'

The number of ways to rearrange the letters in the word 'BANKER' is calculated by finding the factorial of the number of letters, which is 7! = 5040.

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Circular Permutation Formula

The number of ways to arrange n objects around a circle is (n-1)!. This is because the first object can be placed anywhere, but the remaining objects' positions are fixed relative to the first.

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Compound Interest Formula

The future amount of an investment with compound interest is calculated using the formula: Amount = P[1 + (r/100)]^n, where P is the principal, r is the interest rate, and n is the number of compounding periods.

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Ratio Calculation

A ratio of 1:3 means that for every 1 unit of one quantity, there are 3 units of the other quantity. To find the total number of units, add the ratio parts.

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Combinations Formula

The formula for combinations calculates the number of ways to choose a set of objects from a larger set, where order doesn't matter. It's calculated as nCr = n! / (r! * (n-r)!), where n is the total number of objects and r is the number to be chosen.

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Logarithm Base 10 of 10

The logarithm of 10 to the base 10 is equal to 1. This is because 10 raised to the power of 1 equals 10, or 10¹ = 10.

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Set Union Operation

The union of two sets, represented by AUB, is the set containing all elements present in either set. The union includes all elements from both sets, without repetition.

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Lowest Increase Rate

Identify the appliance that experienced the smallest growth in usage between 2009 and 2010.

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Boys vs. Girls in College 3

Calculate the difference between the number of boys and girls in College 3.

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Average Number of Girls

Determine the average number of girls across all six colleges.

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Which College has Least Boys?

Identify the college with the smallest number of boys.

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College 4 vs. College 1

Calculate the percentage of boys in College 4 relative to the number of boys in College 1.

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Matrix Multiplication

The process of multiplying two matrices, where the number of columns in the first matrix must equal the number of rows in the second matrix.

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Matrix Multiplication Compatibility

Two matrices can be multiplied if the number of columns in the first matrix is equal to the number of rows in the second matrix.

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Determinant of a 2x2 Matrix

The determinant of a 2x2 matrix [a b; c d] is calculated as (a * d) - (b * c).

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Central Angle of Pie Chart

The angle of a sector in a pie chart representing a particular category, calculated as (Category Value / Total Value) * 360°.

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Percentage Change

The difference between the new value and the old value, expressed as a percentage of the old value.

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Percentage of Households Using Appliances

The proportion of households that use a particular appliance, expressed as a percentage.

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Household Population

The total number of households in a given area or time period.

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Difference in Usage

The difference in the percentage of households using two different appliances.

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Study Notes

BBA Examination, Dec.-2023, Arithmetic Aptitude

  • Examination Details

    • Code: BBA-501
    • Maximum Marks: 75
    • Time: 2 Hours

  • Instructions

    • Do not open the booklet until instructed.
    • Answer all 100 questions on the OMR sheet, not in the booklet.
    • All questions carry equal marks.
    • Carefully review the question booklet and OMR sheet before proceeding.
    • Replace faulty booklets immediately.

  • Question type examples (page 2-5):

    • Ratio comparison (e.g., 3:4 and 4:5)
    • Matrix operations (inverse, addition)
    • Simple interest calculation
    • Ratio of passed/failed candidates
    • Finding the value of variables
    • Compound interest calculation

  • Specific formulas/concepts (page 4):

    • Compound interest formula: Amount = P (1 + R/100)^t

  • Question type examples (page 6-7):

    • Calculating simple interest
    • Finding the ratio of numbers
    • Finding the value of variables
    • Calculating ages based on ratios
    • Prime numbers (least prime)

  • Question type examples (page 8-9):

    • Finding angles on a clock
    • Determining how many times the clock hands make a right angle
    • Finding numbers for specific tasks/situations

  • Question type examples (page 10):

    • Finding Highest Common Factor (HCF) of numbers
    • Number ratios and Least Common Multiple (LCM)

  • Question type examples (page 11):

    • Speed problems (train, boat, man)
    • Solving problems involving speed and time
    • Finding the speed of a boat in still water
    • Calculating time taken to travel a certain distance

  • Question types (page 12-13):

    • Determining directions
    • Seating arrangements in a circle
    • Finding who is to the left/right of or from someone

  • Question type examples (page 14-15):

    • Finding differences between digits of numbers
    • Finding frequency/number of times hands of clock make a right angle in a day
    • Finding rows & columns in matrices

  • Question types (page 16-17):

    • Finding total girls in a school
    • Finding percentage differences in total students
    • Ratio/proportion problems involving the different categories

  • Question types (page 18):

    • Household appliances percentage, graphs
    • Finding more people using T.V. vs. car
    • Percentage increase in car users

  • Question types (page 19):

    • Total number of students
    • Average number of girls in colleges
    • Boys and girls percentage

  • Question types (page 20):

    • Finding percentage of boys in college
    • Number of students in proportion
    • Finding the value of a variable

  • Question types (page 21):

    • Matrix operations
    • Co-factors
    • Determining what needs to added to a number in problem

  • Question types (page 22):

    • Determining the total number of girls in different categories/colleges

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BBA Examination, Dec.-2023 Arithmetic Aptitude PDF

Description

Test your knowledge and skills in arithmetic aptitude with this BBA-501 examination set for December 2023. Covering topics like interest calculations, ratios, and matrix operations, this quiz will challenge you on a range of quantitative reasoning questions. Prepare to excel with 100 questions designed to assess your aptitude effectively.

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