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Central Exam — SSC CGL / CHSL / MTS — Quantitative Aptitude

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Showing 31–40 of 100 questions in Quantitative Aptitude

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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