BBA-DBE Bangalore 2025 PYQsQuantitative Ability. Free, no login required.

Q1:

Mixture & Alligation

Medium

A merchant made two types of mixed oils P & Q with three different types of oils, X, Y and Z in the ratios 3:2:5 and 4:3:3 respectively with the costs of each litre of X, Y and Z being ₹120, ₹125 and ₹150 respectively. How much profit will the merchant make if he sells 100 litres each of P and Q at the same rate of ₹136 per litre?

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Q2:

Identities

Medium

If 1,ω,ω21, \omega, \omega^2 are the cube roots of unity, then the value of 1+9+11ω2ω2+9+11ω+3+5ω+7ω23ω+5ω2+7\dfrac{1+9+11\omega^2}{\omega^2+9+11\omega} + \dfrac{3+5\omega+7\omega^2}{3\omega+5\omega^2+7} is:

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Q3:

Ratio, Proportion & Variation

Medium

The ratio of monthly income of P to monthly income of Q is 9: 11, and P's savings are 1003\frac{100}{3} % more than Q's savings. What is the expenditure (in ₹) of P, if the sum of monthly income of P and Q is ₹2,40,000, and expenditure (in ₹) of Q is ₹84000?

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Q4:

Time, Speed & Distance

Medium

In a flight of 1400 km, an aircraft was slowed down due to bad weather. Its average speed for the trip was reduced by 450 km/h and the time of flight increased by 60 minutes. The speed of the aircraft due to bad weather is what percent (rounded off to 2 decimal places) of the original speed of the aircraft?

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Q5:

Progression & Series

Hard

What is the sum of the infinite series: 1−12−14+18−116−132+164−1128−1256+…?1 - \frac{1}{2} - \frac{1}{4} + \frac{1}{8} - \frac{1}{16} - \frac{1}{32} + \frac{1}{64} - \frac{1}{128} - \frac{1}{256} + \dots?

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Q6:

Time & Work

Medium

A and C together can complete a certain work in 30 days. B is 20% more efficient than C. A, B and C together can do the same work in 20 days. C alone completed one fourth of the work and the remaining work was completed by A and B together. In how many days was the entire work completed?

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Q7:

Permutation & Combination

Medium

A person hosts a party of 13 guests and places 5 of them on one table and the remaining on the other table, the tables being round. In how many ways can he arrange the guests?

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Q9:

Linear Equation

Medium

If x−2y+4z=6x - 2y + 4z = 6, 3x+y+5z=43x + y + 5z = 4 and 2x−y+3z=42x - y + 3z = 4, then what is the value of (2x–3y+5z)(2x – 3y + 5z)?

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Q11:

Percentages

Medium

In an election between two candidates, A and B, 18% of total voters did not cast their votes. 15% of the votes polled were declared invalid. B received 56% of the total valid votes and won by a majority of 6273 votes. The number of valid votes received by A was:

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Q12:

Progression & Series

Medium

If six arithmetic means are inserted between 3 and 132\frac{13}{2}, the ratio of the fifth and the first mean is:

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Q13:

Triangles

Medium

In △ABC\triangle ABC, ADAD is the bisector of ∠A\angle A meeting BCBC at DD. If AB=30AB = 30 cm, BC=20BC = 20 cm and the length of BDBD is 4 cm less than DCDC, then the length (in cm) of ACAC is

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Q14:

Ratio, Proportion & Variation

Medium

In a business partnership among P, Q, R and S, the profit is shared as follows:

P’s shareQ’s share=23\frac{\text{P's share}}{\text{Q's share}} = \frac{2}{3}, Q’s shareR’s share=45\frac{\text{Q's share}}{\text{R's share}} = \frac{4}{5}, R’s shareS’s share=512\frac{\text{R's share}}{\text{S's share}} = \frac{5}{12}.

If the total profit is ₹24850, the difference (in ₹) of the combined share of profit of P and S and that of Q and R taken together is

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Q15:

Quadrilaterals

Medium

The perimeter of a rhombus is 148 cm148 \text{ cm} and one of its diagonals is 70 cm70 \text{ cm}. Its area is equal to the area of a trapezium whose parallel sides are x cmx \text{ cm} and 50 cm50 \text{ cm} and the distance between the parallel sides is 14 cm14 \text{ cm}. What is the value of xx?

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Q16:

Time, Speed & Distance

Medium

The time taken by a boat to cover a certain distance in still water is 20% less than the time it takes to cover the same distance upstream. The speed of the stream is 4.5 km/h. How much total time (in hours) will the boat take to cover 60 km downstream and 30 km upstream?

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Q17:

Bar Graphs

Medium

Population of three towns (in thousands) in four years given in bar graph and percentage of literate population of the towns given in line graph (some of the data is missing in the line graph).

Following Table shows partial data of Percentage growth rate of literate population (year over

year)

Town 1Town 2Town 3
2020(50/7)%------
2021(155/3)%(6800/203)%36%
2022---(200/3)%- (1600/51)%

What was the number of literate population in the year 2019 in town 1?

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Q18:

Bar Graphs

Easy

Population of three towns (in thousands) in four years given in bar graph and percentage of literate population of the towns given in line graph (some of the data is missing in the line graph).

Following Table shows partial data of Percentage growth rate of literate population (year over

year)

Town 1Town 2Town 3
2020(50/7)%------
2021(155/3)%(6800/203)%36%
2022---(200/3)%- (1600/51)%

What is the ratio between total population and literate population in 2019 in town 3?

Answer options

Q19:

Bar Graphs

Easy

Population of three towns (in thousands) in four years given in bar graph and percentage of literate population of the towns given in line graph (some of the data is missing in the line graph).

Following Table shows partial data of Percentage growth rate of literate population (year over

year)

Town 1Town 2Town 3
2020(50/7)%------
2021(155/3)%(6800/203)%36%
2022---(200/3)%- (1600/51)%

Number of literate population of town 2 in year 2019 is approximately what percent of literate population of town 1 in the year 2021?

Answer options

Q20:

Bar Graphs

Medium

Population of three towns (in thousands) in four years given in bar graph and percentage of literate population of the towns given in line graph (some of the data is missing in the line graph).

Following Table shows partial data of Percentage growth rate of literate population (year over

year)

Town 1Town 2Town 3
2020(50/7)%------
2021(155/3)%(6800/203)%36%
2022---(200/3)%- (1600/51)%

What was the approximate literate population in town 2 in 2020?

Answer options

BBA-DBE Bangalore 2025 Quantitative Ability Past Year Question Paper

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