Govt Exam — Railway RRB / NTPC — Mathematics
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Showing 1–10 of 18 questions in Mathematics
Q.1 Easy Mathematics
What is 15% of 240?
A 36
B 40
C 45
D 48
Correct Answer:  A. 36
Explanation:

To find a percentage of a number, multiply the number by the percentage expressed as a decimal: \(15\% \text{ of } 240 = 0.15 \times 240\).

Step 1: Convert percentage to decimal

Convert 15% to its decimal form:

\[15\% = \frac{15}{100} = 0.15\]
Step 2: Multiply by the base number
\[0.15 \times 240 = 36\]

Alternatively, using fractions:

\[\frac{15}{100} \times 240 = \frac{15 \times 240}{100} = \frac{3600}{100} = 36\]

Answer: 36 (Option A)

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Q.2 Easy Mathematics
If a train travels 360 km in 6 hours, what is its average speed?
A 50 km/h
B 60 km/h
C 70 km/h
D 80 km/h
Correct Answer:  B. 60 km/h
Explanation:

Average speed = Distance/Time = 360/6 = 60 km/h

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Q.3 Easy Mathematics
What is the square root of 196?
A 12
B 13
C 14
D 15
Correct Answer:  C. 14
Explanation:

√196 = 14 (since 14 × 14 = 196)

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Q.4 Easy Mathematics
Simplify: 8 + 12 ÷ 4 - 2 × 3
A 5
B 8
C 11
D 14
Correct Answer:  A. 5
Explanation:

To simplify this expression, we apply the order of operations (BODMAS/PEMDAS): Brackets, Orders, Division & Multiplication (left to right), then Addition & Subtraction (left to right).

Step 1: Perform Division

Division comes before addition and subtraction, so evaluate \(12 \div 4\) first.

\[12 \div 4 = 3\]

The expression becomes:

\[8 + 3 - 2 \times 3\]

Step 2: Perform Multiplication

Next, evaluate \(2 \times 3\).

\[2 \times 3 = 6\]

The expression becomes:

\[8 + 3 - 6\]

Step 3: Perform Addition and Subtraction (Left to Right)

Now evaluate from left to right.

\[8 + 3 = 11\]

Step 4: Final Subtraction

\[11 - 6 = 5\]

Answer: \(5\) (Option A)

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Q.5 Easy Mathematics
If 5x + 10 = 35, what is the value of x?
A 3
B 5
C 7
D 9
Correct Answer:  B. 5
Explanation:

5x = 35 - 10 = 25, so x = 5

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Q.6 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.7 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.8 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.9 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.10 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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