Govt Exam — Railway RRB / NTPC — Mathematics
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Showing 1–8 of 8 questions in Mathematics
Q.1 Medium Mathematics
A shopkeeper sells an item for Rs. 600 and makes a profit of 25%. What was the cost price?
A Rs. 450
B Rs. 480
C Rs. 500
D Rs. 520
Correct Answer:  B. Rs. 480
Explanation:

To find the cost price when selling price and profit percentage are known, use the relationship: \(\text{Selling Price} = \text{Cost Price} \times (1 + \text{Profit\%}/100)\)

Step 1: Set up the profit formula

When a shopkeeper makes a 25% profit, the selling price is 125% of the cost price.

\[\text{Selling Price} = \text{Cost Price} \times \left(1 + \frac{25}{100}\right)\]

Step 2: Express in terms of cost price

\[600 = \text{Cost Price} \times \frac{125}{100}\]
\[600 = \text{Cost Price} \times 1.25\]

Step 3: Solve for cost price

\[\text{Cost Price} = \frac{600}{1.25}\]

Step 4: Calculate the final answer

\[\text{Cost Price} = \frac{600}{1.25} = \frac{600 \times 100}{125} = \frac{60000}{125} = 480\]

Verification: If CP = Rs. 480, then profit = \(600 - 480 = 120\), and profit% = \(\frac{120}{480} \times 100 = 25\%\) ✓

Answer: The cost price was Rs. 480 (Option B)

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Q.2 Medium Mathematics
Two numbers are in the ratio 3:5. If their sum is 80, what are the numbers?
A 24 and 56
B 30 and 50
C 20 and 60
D 32 and 48
Correct Answer:  B. 30 and 50
Explanation:

3x + 5x = 80; 8x = 80; x = 10. Numbers are 30 and 50

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Q.3 Medium Mathematics
What is the simple interest on Rs. 5000 at 8% per annum for 3 years?
A Rs. 1000
B Rs. 1200
C Rs. 1400
D Rs. 1600
Correct Answer:  B. Rs. 1200
Explanation:

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

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Q.4 Medium Mathematics
A train leaves Station A at 8:00 AM and reaches Station B at 2:30 PM. If the distance is 195 km, what is the average speed?
A 25 km/h
B 30 km/h
C 35 km/h
D 40 km/h
Correct Answer:  B. 30 km/h
Explanation:

Time = 6.5 hours; Speed = 195/6.5 = 30 km/h

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Q.5 Medium Mathematics
What is 20% of 35% of 2000?
A 120
B 140
C 160
D 180
Correct Answer:  B. 140
Explanation:

35% of 2000 = 700; 20% of 700 = 140

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Q.6 Medium Mathematics
If a number is increased by 15% and the result is 345, what was the original number?
A 290
B 300
C 310
D 320
Correct Answer:  B. 300
Explanation:

x × 1.15 = 345; x = 345/1.15 = 300

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Q.7 Medium Mathematics
The average of five numbers is 22. If four of them are 18, 24, 20, and 26, what is the fifth number?
A 20
B 22
C 24
D 26
Correct Answer:  B. 22
Explanation:

Sum = 22 × 5 = 110; 18 + 24 + 20 + 26 = 88; Fifth = 110 - 88 = 22

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Q.8 Medium Mathematics
A mixture contains milk and water in the ratio 5:3. If there are 40 liters of milk, how much water is there?
A 20 liters
B 24 liters
C 28 liters
D 32 liters
Correct Answer:  B. 24 liters
Explanation:

If milk is 5 parts and equals 40L, then 1 part = 8L; water (3 parts) = 24L

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