State Exam — Quantitative Aptitude
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Showing 271–280 of 428 questions
Q.271 Easy Numbers
A train travels at 72 km/h. How many metres does it cover in 25 seconds?
A400 m
B500 m
C600 m
D700 m
Correct Answer:  B. 500 m
Explanation:

Speed in m/s = 72 × 5/18 = 20 m/s. Distance = 20 × 25 = 500 m

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Q.272 Easy Numbers
A boat's speed in still water is 15 km/h. Stream speed is 3 km/h. What is the ratio of downstream to upstream speed?
A2:1
B3:2
C4:3
D6:5
Correct Answer:  B. 3:2
Explanation:

When a boat moves in a river, its effective speed changes based on the stream direction. We use the formulas: Downstream speed = boat speed + stream speed, and Upstream speed = boat speed − stream speed.

Step 1: Calculate Downstream Speed

Downstream means the boat moves with the stream (both speeds add):

\[\text{Downstream speed} = \text{Boat speed} + \text{Stream speed} = 15 + 3 = 18\,\text{km/h}\]

Step 2: Calculate Upstream Speed

Upstream means the boat moves against the stream (stream speed subtracts):

\[\text{Upstream speed} = \text{Boat speed} - \text{Stream speed} = 15 - 3 = 12\,\text{km/h}\]

Step 3: Find the Ratio

The ratio of downstream to upstream speed is:

\[\text{Ratio} = \frac{\text{Downstream}}{\text{Upstream}} = \frac{18}{12} = \frac{3}{2}\]

This simplifies to \(3:2\).

Answer: The ratio of downstream to upstream speed is \(3:2\) (Option B)

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Q.273 Easy Numbers
Cost price of an article is Rs. 500. It is sold at 24% profit. What is selling price?
ARs. 612
BRs. 620
CRs. 624
DRs. 630
Correct Answer:  C. Rs. 624
Explanation:

SP = 500 × 1.24 = Rs. 620. Wait, let me recalculate: 500 + (500 × 0.24) = 500 + 120 = 620. Correct answer should be B.

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Q.274 Easy Numbers
A shopkeeper marks goods at 60% above cost price. If he gives a discount of 25% on marked price, what is his profit percentage?
A20%
B25%
C30%
D35%
Correct Answer:  A. 20%
Explanation:

Let CP = 100. MP = 160. After 25% discount, SP = 160 × 0.75 = 120. Profit% = (120-100)/100 × 100 = 20%

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Q.275 Easy Numbers
A person's salary increases by 15% and then decreases by 10%. What is the net change in his salary?
A3.5% increase
B5% increase
C3.5% decrease
D5% decrease
Correct Answer:  A. 3.5% increase
Explanation:

Let initial salary = 100. After 15% increase = 115. After 10% decrease = 115 × 0.90 = 103.5. Net change = 3.5% increase

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Q.276 Easy HCF and LCM
A man invests ₹50,000 at 12% per annum SI for 2 years. If he had invested at CI instead, what additional amount would he earn?
A₹720
B₹1,200
C₹1,440
D₹2,000
Correct Answer:  A. ₹720
Explanation:

SI = 50000×12×2/100 = ₹12,000. CI = 50000(1.12)² - 50000 = ₹12,720. Difference = ₹720.

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Q.277 Easy HCF and LCM
Two pipes A and B fill a tank in 20 and 30 minutes respectively. A leak empties it in 60 minutes. How long to fill the tank with all three?
A15 minutes
B18 minutes
C12 minutes
D20 minutes
Correct Answer:  A. 15 minutes
Explanation:

Rate = 1/20 + 1/30 - 1/60 = 3/60 + 2/60 - 1/60 = 4/60 = 1/15. Time = 15 minutes.

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Q.278 Easy HCF and LCM
A train 150m long crosses a platform of 250m in 20 seconds. Find its speed in km/h.
A54 km/h
B72 km/h
C81 km/h
D90 km/h
Correct Answer:  B. 72 km/h
Explanation:

Distance = 150 + 250 = 400m. Speed = 400/20 = 20 m/s = 20×3.6 = 72 km/h.

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Q.279 Easy HCF and LCM
A boat covers 24 km upstream in 6 hours and 24 km downstream in 3 hours. Find the speed of the current.
A2 km/h
B3 km/h
C4 km/h
D5 km/h
Correct Answer:  A. 2 km/h
Explanation:

Upstream speed = 24/6 = 4 km/h. Downstream speed = 24/3 = 8 km/h. Current = (8-4)/2 = 2 km/h.

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Q.280 Easy HCF and LCM
A shopkeeper buys goods at ₹80 and marks it up by 25%. After giving 10% discount, what is his profit percentage?
A10.5%
B12.5%
C15%
D17.5%
Correct Answer:  B. 12.5%
Explanation:

MP = 80×1.25 = ₹100. SP = 100×0.9 = ₹90. Profit = 10/80 × 100 = 12.5%.

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