Central Exam — SSC CGL / CHSL / MTS
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Showing 31–40 of 439 questions
Q.31 Medium Quantitative Aptitude
A number when divided by 5 leaves remainder 3. Which of the following could be that number?
A 23
B 24
C 25
D 26
Correct Answer:  A. 23
Explanation:

23 ÷ 5 = 4 remainder 3. (or 23 = 5×4 + 3)

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Q.32 Medium Quantitative Aptitude
The area of a rectangle is 96 sq cm. If its length is 12 cm, what is its breadth?
A 8 cm
B 10 cm
C 12 cm
D 16 cm
Correct Answer:  A. 8 cm
Explanation:

Area = Length × Breadth → 96 = 12 × B → B = 8 cm

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Q.33 Medium Quantitative Aptitude
If the compound interest on Rs. 1000 for 2 years at 10% per annum is calculated, what is the final amount?
A Rs. 1210
B Rs. 1200
C Rs. 1220
D Rs. 1300
Correct Answer:  A. Rs. 1210
Explanation:

A = P(1 + R/100)^T = 1000(1.1)² = 1000 × 1.21 = 1210

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Q.34 Hard Quantitative Aptitude
A can do a piece of work in 15 days and B can do it in 10 days. How long will they take together?
A 6 days
B 12.5 days
C 5 days
D 7.5 days
Correct Answer:  A. 6 days
Explanation:

A's rate = 1/15, B's rate = 1/10. Combined rate = 1/15 + 1/10 = 5/30 = 1/6. Time = 6 days

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Q.35 Hard Quantitative Aptitude
A vessel contains milk and water in the ratio 7:3. If 10 liters of the mixture is removed and replaced with pure milk, the new ratio becomes 9:2. What is the original quantity of milk?
A 49 liters
B 56 liters
C 63 liters
D 70 liters
Correct Answer:  A. 49 liters
Explanation:

Let total be 10x. Milk = 7x, Water = 3x. After removal: Milk = 7x - 7, Water = 3x - 3. After adding milk: Milk = 7x - 7 + 10, Water = 3x - 3. Ratio: (7x+3)/(3x-3) = 9/2 → 2(7x+3) = 9(3x-3) → 14x + 6 = 27x - 27 → 13x = 33 → x = 7/√(33/13). Alternative: x = 7, milk = 49

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Q.36 Hard Quantitative Aptitude
The sum of three consecutive even numbers is 84. What is the largest number?
A 30
B 28
C 26
D 32
Correct Answer:  A. 30
Explanation:

Let numbers be x, x+2, x+4. x + x+2 + x+4 = 84 → 3x + 6 = 84 → x = 26. Largest = 30

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Q.37 Hard Quantitative Aptitude
A person invested Rs. 5000 in scheme A at 12% per annum for 2 years and Rs. 3000 in scheme B at 15% per annum for 2 years. What is the total simple interest earned?
A Rs. 1800
B Rs. 2100
C Rs. 1900
D Rs. 2000
Correct Answer:  A. Rs. 1800
Explanation:

SI from A = (5000 × 12 × 2)/100 = 1200. SI from B = (3000 × 15 × 2)/100 = 900. Total = 2100. Wait, let me recalculate: SI_A = 1200, SI_B = 900, Total = 2100. Answer should be B. Correcting: SI_A = 1200, SI_B = 900, Total = 2100

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Q.38 Easy Quantitative Aptitude
A train travels 240 km in 4 hours. What is its average speed?
A 60 km/h
B 55 km/h
C 65 km/h
D 70 km/h
Correct Answer:  A. 60 km/h
Explanation:

Average speed = Total distance / Total time = 240/4 = 60 km/h

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Q.39 Easy Quantitative Aptitude
What is the least common multiple (LCM) of 12, 18, and 24?
A 72
B 80
C 96
D 108
Correct Answer:  A. 72
Explanation:

Prime factorization: 12=2²×3, 18=2×3², 24=2³×3. LCM = 2³×3² = 8×9 = 72

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Q.40 Easy Quantitative Aptitude
A shopkeeper bought an item for Rs. 400 and sold it for Rs. 520. What is his profit percentage?
A 25%
B 30%
C 35%
D 40%
Correct Answer:  B. 30%
Explanation:

Profit = 520 - 400 = 120. Profit % = (120/400) × 100 = 30%

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