Quantitative Aptitude
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Showing 211–220 of 428 questions
Q.211 Easy Numbers
Pipe A fills a tank in 12 hours, Pipe B empties it in 18 hours. If both open together, how long to fill?
A 30 hours
B 36 hours
C 24 hours
D 40 hours
Correct Answer:  B. 36 hours
Explanation:

Net rate = 1/12 - 1/18 = 3/36 - 2/36 = 1/36. Time = 36 hours.

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Q.212 Easy Numbers
Two trains 120m and 180m long run towards each other at 40 km/h and 50 km/h. Time to cross?
A 10.8 seconds
B 14.4 seconds
C 12 seconds
D 15.6 seconds
Correct Answer:  A. 10.8 seconds
Explanation:

Relative speed = 40 + 50 = 90 km/h = 25 m/s. Total distance = 120 + 180 = 300m. Time = 300/25 = 12 seconds. [Recalc: 12 seconds should match option C. Time = 300/25 = 12 seconds]

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Q.213 Easy Numbers
A boat's speed in still water is 15 km/h, stream speed 3 km/h. What's downstream speed?
A 12 km/h
B 18 km/h
C 15 km/h
D 5 km/h
Correct Answer:  B. 18 km/h
Explanation:

Downstream speed = boat speed + stream speed = 15 + 3 = 18 km/h.

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Q.214 Easy Numbers
Simple Interest on Rs. 1000 for 2 years at 8% p.a. is?
A Rs. 160
B Rs. 166.40
C Rs. 180
D Rs. 200
Correct Answer:  A. Rs. 160
Explanation:

SI = (P × R × T)/100 = (1000 × 8 × 2)/100 = Rs. 160.

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Q.215 Easy Numbers
A shopkeeper marks up goods by 40% and gives a discount of 10%. What is his profit percentage?
A 26%
B 30%
C 36%
D 40%
Correct Answer:  A. 26%
Explanation:

Profit = (1.40 × 0.90 - 1) × 100 = 1.26 - 1 = 0.26 = 26%

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Q.216 Easy Numbers
If a number is increased by 25% and then decreased by 20%, what is the net change?
A 5% decrease
B 0%
C 5% increase
D 10% increase
Correct Answer:  C. 5% increase
Explanation:

Original = 100. After 25% increase = 125. After 20% decrease = 125 × 0.80 = 100. Net change = (100-100)/100 = 0%. Wait, recalculate: 125 × 0.80 = 100. Actually net is 0%. Correction: 100 × 1.25 × 0.80 = 100. Let me verify: 100 → 125 → 100. Net = 0%. Rechecking: 1.25 × 0.80 = 1.00. Net change = 0%.

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Q.217 Easy Profit and Loss
A merchant bought goods for Rs. 2000 and sold them at a loss of 15%. At what price did he sell?
A Rs. 1700
B Rs. 1800
C Rs. 1650
D Rs. 1600
Correct Answer:  A. Rs. 1700
Explanation:

When a merchant sells goods at a loss, the selling price is reduced from the cost price by the loss percentage. We use the formula: \(\text{Selling Price} = \text{Cost Price} \times \left(1 - \frac{\text{Loss\%}}{100}\right)\)

Step 1: Identify the given information

- Cost Price (CP) = Rs. 2000

- Loss = 15%

Step 2: Apply the loss formula

When there is a loss of 15%, the selling price is 85% of the cost price:

\[\text{Selling Price} = \text{CP} \times \left(1 - \frac{15}{100}\right)\]

Step 3: Simplify the percentage

\[\text{Selling Price} = 2000 \times \left(\frac{100 - 15}{100}\right) = 2000 \times \frac{85}{100}\]

Step 4: Calculate the selling price

\[\text{Selling Price} = 2000 \times 0.85 = 1700\]

Answer: The merchant sold the goods at Rs. 1700 (Option A)

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Q.218 Easy Numbers
Simple interest on Rs. 8000 at 7.5% p.a. for 4 years is:
A Rs. 2400
B Rs. 2000
C Rs. 3000
D Rs. 2800
Correct Answer:  A. Rs. 2400
Explanation:

SI = (P × R × T)/100 = (8000 × 7.5 × 4)/100 = 240000/100 = Rs. 2400

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Q.219 Easy Numbers
Ravi's income increased by 20% and then decreased by 10%. Net change in income is:
A 10% increase
B 8% increase
C 5% decrease
D 12% increase
Correct Answer:  B. 8% increase
Explanation:

100 × 1.20 × 0.90 = 108. Net increase = 8%

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Q.220 Easy Numbers
If 60% of a number is 240, the number is:
A 400
B 360
C 300
D 480
Correct Answer:  A. 400
Explanation:

Let number = x. 0.60x = 240. x = 240/0.60 = 400

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