Quantitative Aptitude & Reasoning for Competitive Exams

Quantitative Aptitude & Reasoning

Algebra & Number Theory Arithmetic Aptitude Data Interpretation Geometry & Mensuration Logical Reasoning

Q. If a product is sold for $150 after a loss of 10%, what was the cost price?

A. $135
B. $140
C. $145
D. $150

Solution

Let Cost Price = x. Selling Price = x - 10% of x = 0.9x. 0.9x = 150. x = 150/0.9 = 166.67.

Correct Answer: A — $135

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Q. If a product is sold for $240 after a discount of 20%, what was the marked price?

A. $300
B. $280
C. $250
D. $320

Solution

Let Marked Price = x. Selling Price = x - 20% of x = 0.8x. 0.8x = 240. x = 240/0.8 = 300.

Correct Answer: A — $300

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Q. If a product is sold for $80 after a discount of 20%, what was the original price?

A. $90
B. $100
C. $110
D. $120

Solution

Let the original price be x. Then, x - 0.2x = 80, 0.8x = 80, x = 100.

Correct Answer: B — $100

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Q. If a runner completes a 10 km race in 50 minutes, what is his speed in km/h?

A. 10 km/h
B. 12 km/h
C. 14 km/h
D. 15 km/h

Solution

Speed = Distance / Time = 10 km / (50/60) h = 12 km/h.

Correct Answer: B — 12 km/h

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Q. If a sequence is defined as a_n = 2n + 1, what is a_5?

A. 9
B. 10
C. 11
D. 12

Solution

a_5 = 2(5) + 1 = 10 + 1 = 11.

Correct Answer: A — 9

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Q. If a sequence is defined as a_n = 3n + 1, what is a_4?

A. 10
B. 11
C. 12
D. 13

Solution

a_4 = 3(4) + 1 = 12 + 1 = 13.

Correct Answer: B — 11

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Q. If a sequence is defined as a_n = 3n + 2, what is a_4?

A. 10
B. 14
C. 12
D. 8

Solution

a_4 = 3(4) + 2 = 12 + 2 = 14.

Correct Answer: B — 14

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Q. If a sequence is defined by a_n = 2n + 1, what is a_4?

A. 7
B. 8
C. 9
D. 10

Solution

a_4 = 2(4) + 1 = 8 + 1 = 9.

Correct Answer: A — 7

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Q. If a sequence is defined by a_n = 3n + 1, what is a_4?

A. 10
B. 11
C. 12
D. 13

Solution

Substituting n = 4 gives a_4 = 3(4) + 1 = 12 + 1 = 13.

Correct Answer: B — 11

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Q. If a sequence is defined by a_n = 3n + 1, what is a_5?

A. 14
B. 15
C. 16
D. 17

Solution

a_5 = 3(5) + 1 = 15 + 1 = 16.

Correct Answer: A — 14

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Q. If a sequence starts with 2 and each term is multiplied by 3, what is the 4th term?

A. 18
B. 54
C. 162
D. 486

Solution

The sequence is 2, 6, 18, 54; the 4th term is 54.

Correct Answer: C — 162

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Q. If a shirt costs $40 and is sold for $50, what is the profit percentage?

A. 20%
B. 25%
C. 30%
D. 15%

Solution

Profit = Selling Price - Cost Price = 50 - 40 = 10. Profit Percentage = (10/40) * 100 = 25%.

Correct Answer: B — 25%

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Q. If a stock price increases from $40 to $50, what is the percentage increase?

A. 20%
B. 25%
C. 30%
D. 35%

Solution

Percentage Increase = ((New Price - Old Price) / Old Price) * 100 = ((50 - 40) / 40) * 100 = 25%

Correct Answer: B — 25%

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Q. If a sum of money doubles in 5 years at simple interest, what is the rate of interest?

A. 10%
B. 20%
C. 15%
D. 25%

Solution

Rate = (100 * Principal) / (Principal * Time) = (100 * 1) / (1 * 5) = 20%

Correct Answer: B — 20%

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Q. If a sum of money doubles itself in 5 years at simple interest, what is the rate of interest?

A. 10%
B. 12%
C. 15%
D. 20%

Solution

Rate = (100 * Principal) / (Principal * Time) = (100 * 1) / (1 * 5) = 20%. Therefore, the rate of interest is 20%.

Correct Answer: A — 10%

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Q. If a sum of money is invested at a compound interest rate of 12% per annum, how much will it grow in 2 years if the principal is $1500?

A. $1680
B. $1690
C. $1700
D. $1710

Solution

Total Amount = P(1 + r/100)^n = 1500(1 + 0.12)^2 = 1500(1.2544) = $1881.60.

Correct Answer: A — $1680

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Q. If a sum of money is invested at a compound interest rate of 5% per annum, how long will it take for the investment to double?

A. 14.4 years
B. 15 years
C. 10 years
D. 12 years

Solution

Using the Rule of 72, Time = 72 / Rate = 72 / 5 = 14.4 years.

Correct Answer: A — 14.4 years

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Q. If a train covers a distance of 300 km at a speed of 75 km/h, how long will it take?

A. 3 hours
B. 4 hours
C. 5 hours
D. 6 hours

Solution

Time = Distance / Speed = 300 km / 75 km/h = 4 hours

Correct Answer: B — 4 hours

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Q. If a train is moving at 90 km/h and a boat is moving at 30 km/h, how much faster is the train than the boat?

A. 50 km/h
B. 60 km/h
C. 70 km/h
D. 80 km/h

Solution

Difference in speed = Speed of train - Speed of boat = 90 km/h - 30 km/h = 60 km/h.

Correct Answer: A — 50 km/h

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Q. If a train travels 120 km in 2 hours, what is its speed in km/h?

A. 60 km/h
B. 70 km/h
C. 80 km/h
D. 90 km/h

Solution

Speed = Distance / Time = 120 km / 2 h = 60 km/h.

Correct Answer: A — 60 km/h

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Q. If a train travels 120 km in 2 hours, what is its speed in m/s?

A. 10 m/s
B. 15 m/s
C. 20 m/s
D. 25 m/s

Solution

Speed = Distance / Time = 120 km / 2 h = 60 km/h = (60 * 1000) / (3600) = 16.67 m/s.

Correct Answer: C — 20 m/s

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Q. If a train travels 240 km in 3 hours, what is its speed in km/h?

A. 70 km/h
B. 80 km/h
C. 90 km/h
D. 100 km/h

Solution

Speed = Distance / Time = 240 km / 3 h = 80 km/h.

Correct Answer: B — 80 km/h

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Q. If a train travels 300 km in 4 hours, what is its average speed?

A. 60 km/h
B. 70 km/h
C. 75 km/h
D. 80 km/h

Solution

Average Speed = Total Distance / Total Time = 300 km / 4 h = 75 km/h.

Correct Answer: A — 60 km/h

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Q. If a train travels at a speed of 90 km/h, how long will it take to cover 450 km?

A. 4 hours
B. 5 hours
C. 6 hours
D. 7 hours

Solution

Time = Distance / Speed = 450 km / 90 km/h = 5 hours.

Correct Answer: B — 5 hours

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Q. If a work can be completed by 10 men in 15 days, how many days will it take for 5 men to complete the same work?

A. 30
B. 35
C. 40
D. 45

Solution

Total work = 10 men * 15 days = 150 man-days. For 5 men, days required = 150 / 5 = 30 days.

Correct Answer: C — 40

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Q. If a worker can complete a task in 10 days, how much of the work will he complete in 3 days?

A. 1/10
B. 1/5
C. 3/10
D. 3/5

Solution

Work done in 1 day = 1/10. Work done in 3 days = 3 × (1/10) = 3/10.

Correct Answer: C — 3/10

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Q. If b = 2^(1/3), what is b^6?

A. 4
B. 8
C. 16
D. 32

Solution

b^6 = (2^(1/3))^6 = 2^2 = 4.

Correct Answer: B — 8

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Q. If D is the father of E and F is the mother of E, what is the relationship between D and F?

A. Siblings
B. Husband and Wife
C. Cousins
D. Unrelated

Solution

D and F are the parents of E, which means they are husband and wife.

Correct Answer: B — Husband and Wife

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Q. If G is the son of H and I is the daughter of H, how is I related to G?

A. Sister
B. Brother
C. Cousin
D. Aunt

Solution

I is the daughter of H, and since G is also a child of H, I is G's sister.

Correct Answer: A — Sister

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Q. If J is the uncle of K and L is the sister of K, what is the relationship between J and L?

A. Aunt
B. Uncle
C. Cousin
D. None of the above

Solution

J is the uncle of K, and since L is K's sister, J is also L's uncle.

Correct Answer: B — Uncle

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Quantitative Aptitude & Reasoning

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