If x² - 5x + 6 = 0, what are the possible values of x?

The correct answer is A: 2 and 3. Factoring: x² - 5x + 6 = (x - 2)(x - 3) = 0. Therefore x = 2 or x = 3.

Two taps A and B can fill a tank in 20 and 30 minutes respectively. A third tap C empties it in 40 minutes. If all three are opened together, in how many minutes will the tank be full?

The correct answer is B: 17.14 minutes. Net rate = 1/20 + 1/30 - 1/40 = 6/120 + 4/120 - 3/120 = 7/120. Time = 120/7 ≈ 17.14 minutes

A's investment is 50% more than B's. If B's investment is ₹60,000, what is A's investment?

The correct answer is A: ₹90,000. A's investment = 60,000 + (50% of 60,000) = 60,000 + 30,000 = ₹90,000

Find the HCF of 45, 60, and 75.

The correct answer is B: 15. 45 = 3² × 5, 60 = 2² × 3 × 5, 75 = 3 × 5². Common factors: 3 and 5. HCF = 3 × 5 = 15.

Two articles are sold for ₹1,000 each. One at 25% profit and the other at 25% loss. What is the overall profit/loss percentage?

The correct answer is A: 6.25% loss. First article: CP₁ = 1000/1.25 = 800. Second article: CP₂ = 1000/0.75 = 1333.33. Total CP = 2133.33, Total SP = 2000. Loss% = (133.33/2133.33) × 100 = 6.25%

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Quantitative Aptitude
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Quantitative aptitude questions for competitive exams

196 Q 7 Topics Take Mock Test

Difficulty: All Easy Medium Hard 91–100 of 196

Topics in Quantitative Aptitude

All Numbers 499 HCF and LCM 150 Profit and Loss 102 Time and Work 101 Percentage 101 Simple Interest 50 Average 48

Q.91 Easy Numbers

Rs. 5000 is invested at 8% p.a. compound interest for 2 years. What is the amount?

A Rs. 5832

B Rs. 5800

C Rs. 5864

D Rs. 5900

Correct Answer: A. Rs. 5832

EXPLANATION

A = P(1 + r/100)^n = 5000(1.08)^2 = 5000 × 1.1664 = Rs. 5832

Test

Q.92 Easy Numbers

A boat travels 30 km upstream in 6 hours and 30 km downstream in 5 hours. What is the speed of the boat in still water?

A 5.5 km/h

B 6 km/h

C 6.5 km/h

D 7 km/h

Correct Answer: A. 5.5 km/h

EXPLANATION

Upstream speed = 30/6 = 5 km/h, Downstream speed = 30/5 = 6 km/h. Boat speed = (5+6)/2 = 5.5 km/h

Test

Q.93 Easy Numbers

Two pipes A and B can fill a tank in 12 hours and 18 hours respectively. If both pipes are opened together, in how many hours will the tank be filled?

A 6.5 hours

B 7.2 hours

C 8 hours

D 9 hours

Correct Answer: B. 7.2 hours

EXPLANATION

A's rate = 1/12, B's rate = 1/18. Combined rate = 1/12 + 1/18 = 5/36. Time = 36/5 = 7.2 hours

Test

Q.94 Easy Numbers

A shopkeeper marks his goods 25% above cost price. If he gives a discount of 10%, what is his profit percentage?

A 12.5%

B 15%

C 18.75%

D 20%

Correct Answer: A. 12.5%

EXPLANATION

MP = CP × 1.25, SP = MP × 0.90 = CP × 1.25 × 0.90 = CP × 1.125. Profit = 12.5%

Test

Q.95 Easy Numbers

Worker A completes 1/3 of work in 5 days. How many days to complete the entire work alone?

A 10 days

B 12 days

C 15 days

D 18 days

Correct Answer: C. 15 days

EXPLANATION

1/3 work in 5 days. Full work = 5 × 3 = 15 days

Test

Q.96 Easy Numbers

A company's profit increases from Rs. 50000 to Rs. 65000. What is the percentage increase?

A 25%

B 30%

C 35%

D 40%

Correct Answer: B. 30%

EXPLANATION

Increase = 65000 - 50000 = 15000. Percentage = (15000/50000) × 100 = 30%

Test

Q.97 Easy Numbers

If 15% of a number is 45, what is the number?

A 250

B 300

C 350

D 400

Correct Answer: B. 300

EXPLANATION

Let number = x. 0.15x = 45. x = 45/0.15 = 300

Test

Q.98 Easy Numbers

A and B together earn Rs. 8000 in a month. A earns 60% of this. How much does B earn?

A Rs. 3200

B Rs. 3500

C Rs. 4000

D Rs. 4500

Correct Answer: A. Rs. 3200

EXPLANATION

B earns 40% of 8000 = 0.4 × 8000 = Rs. 3200

Test

Q.99 Easy Numbers

A train travels 450 km in 5 hours. What is its average speed?

A 80 km/h

B 85 km/h

C 90 km/h

D 95 km/h

Correct Answer: C. 90 km/h

EXPLANATION

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

Test

Q.100 Easy Numbers

A sum of Rs. 1200 becomes Rs. 1440 in 2 years at simple interest. What is the rate of interest?

A 8%

B 10%

C 12%

D 15%

Correct Answer: B. 10%

EXPLANATION

SI = 1440 - 1200 = 240. Rate = (SI × 100)/(P × T) = (240 × 100)/(1200 × 2) = 10%

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