Quantitative Aptitude
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Showing 251–260 of 428 questions
Q.251 Easy Numbers
Pipe A fills a tank in 15 hours. Pipe B fills it in 10 hours. If both pipes are open, in how much time will the tank be filled?
A 5 hours
B 6 hours
C 7.5 hours
D 8 hours
Correct Answer:  B. 6 hours
Explanation:

Combined rate = 1/15 + 1/10 = 2/30 + 3/30 = 5/30 = 1/6. Time = 6 hours

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Q.252 Easy Numbers
A train travels at 60 km/h. How long will it take to cover 300 km?
A 4 hours
B 5 hours
C 6 hours
D 3 hours
Correct Answer:  B. 5 hours
Explanation:

Time = Distance/Speed = 300/60 = 5 hours

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Q.253 Easy Numbers
A boat travels downstream at 12 km/h and upstream at 8 km/h. What is the speed of the current?
A 1 km/h
B 2 km/h
C 3 km/h
D 4 km/h
Correct Answer:  B. 2 km/h
Explanation:

Speed of current = (Downstream speed - Upstream speed)/2 = (12 - 8)/2 = 2 km/h

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Q.254 Easy Numbers
Rs. 5000 is invested at 12% per annum simple interest. What will be the amount after 3 years?
A Rs. 6500
B Rs. 6800
C Rs. 6200
D Rs. 7000
Correct Answer:  B. Rs. 6800
Explanation:

SI = (5000 × 12 × 3)/100 = 1800. Amount = 5000 + 1800 = Rs. 6800

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Q.255 Easy Numbers
If 25% of a number is 80, what is 60% of that number?
A 192
B 240
C 320
D 160
Correct Answer:  A. 192
Explanation:

To solve percentage problems, we first find the original number, then calculate the required percentage of it.

Step 1: Find the Original Number

Since 25% of the number equals 80, we set up an equation where the unknown number is x.

\[0.25 \times x = 80\]
\[x = \frac{80}{0.25} = \frac{80}{\frac{1}{4}} = 80 \times 4 = 320\]
Step 2: Calculate 60% of That Number

Now that we know the original number is 320, we find 60% of it.

\[60\% \text{ of } 320 = 0.60 \times 320 = \frac{60}{100} \times 320 = \frac{19200}{100} = 192\]

The answer is (A) 192

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Q.256 Easy Numbers
A shopkeeper offers a 30% discount on marked price. If the marked price is Rs. 1000, what is the selling price?
A Rs. 600
B Rs. 700
C Rs. 800
D Rs. 900
Correct Answer:  B. Rs. 700
Explanation:

Discount = 30% of 1000 = 300. Selling price = 1000 - 300 = Rs. 700

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Q.257 Easy Numbers
If a number is increased by 40% and then decreased by 30%, the net change in the number is:
A 10% increase
B 2% decrease
C 2% increase
D No change
Correct Answer:  B. 2% decrease
Explanation:

When a number undergoes multiple percentage changes, we must apply each change sequentially to find the net effect.

Step 1: Apply the 40% Increase

Starting with an original number, a 40% increase multiplies it by 1.40.

\[\text{After increase} = x \times 1.40 = 1.40x\]

Step 2: Apply the 30% Decrease

A 30% decrease means we retain 70% of the value, so we multiply by 0.70.

\[\text{After decrease} = 1.40x \times 0.70 = 0.98x\]

Step 3: Calculate Net Change

The final value is 0.98x, which is 98% of the original value x.

\[\text{Net change} = 0.98x - x = -0.02x = -2\%\]

The net change is a 2% decrease. Answer: (B)

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Q.258 Easy Percentage
A train travels 480 km at a speed of 60 km/h. If it increases its speed by 20%, how much time will it save?
A 1 hour 20 minute
B 1.5 hours
C 2 hours
D 2.5 hours
Correct Answer:  A. 1 hour 20 minute
Explanation:

To find the time saved, we need to calculate the original travel time and the new travel time after the speed increase, then find the difference.

Step 1: Calculate original travel time

Using the formula \(\text{Time} = \frac{\text{Distance}}{\text{Speed}}\):

\[\text{Time}_{\text{original}} = \frac{480}{60} = 8 \text{ hours}\]

Step 2: Find the new speed after 20% increase

A 20% increase means the new speed is:

\[\text{Speed}_{\text{new}} = 60 + (20\% \text{ of } 60) = 60 + 12 = 72 \text{ km/h}\]

Alternatively: \(\text{Speed}_{\text{new}} = 60 \times 1.20 = 72 \text{ km/h}\)

Step 3: Calculate new travel time at increased speed

\[\text{Time}_{\text{new}} = \frac{480}{72} = \frac{20}{3} = 6\frac{2}{3} \text{ hours}\]

Step 4: Find time saved

\[\text{Time saved} = \text{Time}_{\text{original}} - \text{Time}_{\text{new}} = 8 - 6\frac{2}{3} = 1\frac{1}{3} \text{ hours}\]

Converting \(\frac{1}{3}\) hour to minutes: \(\frac{1}{3} \times 60 = 20 \text{ minutes}\)

Therefore, time saved = 1 hour 20 minutes

Answer: 1 hour 20 minute (Option A)

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Q.259 Easy Numbers
Simple interest on a sum for 3 years at 8% p.a. is Rs. 1200. What is the principal?
A Rs. 4000
B Rs. 5000
C Rs. 6000
D Rs. 7000
Correct Answer:  B. Rs. 5000
Explanation:

SI = P × R × T / 100. 1200 = P × 8 × 3 / 100. P = (1200 × 100) / 24 = 5000.

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Q.260 Easy Numbers
A sum of Rs. 12,000 is invested at 10% p.a. compound interest. What will be the amount after 2 years?
A Rs. 14,520
B Rs. 14,000
C Rs. 13,200
D Rs. 15,000
Correct Answer:  A. Rs. 14,520
Explanation:

A = P(1 + R/100)^T = 12000(1.1)^2 = 12000 × 1.21 = 14,520.

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