This Quantitative Aptitude practice set is prepared strictly as per the SSC CGL syllabus.
The questions follow the actual exam level and are arranged with a balanced mix of basic, application-based, and slightly tricky problems to help you practice with clarity and confidence.
[
{
“question”: “What is the value of 25% of 200?”,
“options”: [“25”, “40”, “50”, “75”],
“correct_answer”: “50”,
“explanation”: “25% means one-fourth. One-fourth of 200 is 50.”,
“difficulty”: “easy”
},
{
“question”: “If the length of a rectangle is 10 cm and breadth is 5 cm, what is its area?”,
“options”: [“25 sq cm”, “50 sq cm”, “100 sq cm”, “15 sq cm”],
“correct_answer”: “50 sq cm”,
“explanation”: “Area of rectangle = length × breadth = 10 × 5 = 50 sq cm.”,
“difficulty”: “easy”
},
{
“question”: “What is the simple interest on ₹1000 at 10% per annum for 1 year?”,
“options”: [“₹50”, “₹100”, “₹150”, “₹200”],
“correct_answer”: “₹100”,
“explanation”: “Simple Interest = (P × R × T) / 100 = (1000 × 10 × 1) / 100 = 100.”,
“difficulty”: “easy”
},
{
“question”: “Which of the following is the smallest prime number?”,
“options”: [“1”, “2”, “3”, “5”],
“correct_answer”: “2”,
“explanation”: “2 is the smallest prime number as it has exactly two factors: 1 and itself.”,
“difficulty”: “easy”
},
{
“question”: “What is the value of 7 × 8?”,
“options”: [“54”, “56”, “58”, “64”],
“correct_answer”: “56”,
“explanation”: “7 multiplied by 8 equals 56.”,
“difficulty”: “easy”
},
{
“question”: “If the cost price of an item is ₹200 and it is sold for ₹220, what is the profit?”,
“options”: [“₹10”, “₹15”, “₹20”, “₹25”],
“correct_answer”: “₹20”,
“explanation”: “Profit = Selling Price − Cost Price = 220 − 200 = 20.”,
“difficulty”: “easy”
},
{
“question”: “What is the perimeter of a square with side 6 cm?”,
“options”: [“18 cm”, “24 cm”, “30 cm”, “36 cm”],
“correct_answer”: “24 cm”,
“explanation”: “Perimeter of square = 4 × side = 4 × 6 = 24 cm.”,
“difficulty”: “easy”
},
{
“question”: “What is the average of the first five natural numbers?”,
“options”: [“2”, “3”, “4”, “5”],
“correct_answer”: “3”,
“explanation”: “First five natural numbers are 1,2,3,4,5. Their average is (1+2+3+4+5)/5 = 3.”,
“difficulty”: “easy”
},
{
“question”: “A train travels 120 km in 2 hours. What is its speed?”,
“options”: [“40 km/h”, “50 km/h”, “60 km/h”, “70 km/h”],
“correct_answer”: “60 km/h”,
“explanation”: “Speed = Distance / Time = 120 / 2 = 60 km/h.”,
“difficulty”: “medium”
},
{
“question”: “If the ratio of two numbers is 3:5 and their sum is 64, what is the larger number?”,
“options”: [“24”, “32”, “40”, “48”],
“correct_answer”: “40”,
“explanation”: “Sum of ratio parts = 3+5=8. Each part = 64/8 = 8. Larger number = 5×8 = 40.”,
“difficulty”: “medium”
},
{
“question”: “What is the compound interest on ₹1000 at 10% per annum for 1 year?”,
“options”: [“₹100”, “₹105”, “₹110”, “₹120”],
“correct_answer”: “₹100”,
“explanation”: “For 1 year, compound interest is same as simple interest. CI = 10% of 1000 = 100.”,
“difficulty”: “medium”
},
{
“question”: “If x + 5 = 12, what is the value of x?”,
“options”: [“5”, “6”, “7”, “8”],
“correct_answer”: “7”,
“explanation”: “x = 12 − 5 = 7.”,
“difficulty”: “medium”
},
{
“question”: “What is the area of a circle with radius 7 cm? (Use π = 22/7)”,
“options”: [“44 sq cm”, “98 sq cm”, “154 sq cm”, “308 sq cm”],
“correct_answer”: “154 sq cm”,
“explanation”: “Area = πr² = (22/7) × 7 × 7 = 154 sq cm.”,
“difficulty”: “medium”
},
{
“question”: “If 15 workers can complete a work in 20 days, how many days will 10 workers take?”,
“options”: [“25 days”, “30 days”, “35 days”, “40 days”],
“correct_answer”: “30 days”,
“explanation”: “Work is constant. Days = (15×20)/10 = 30 days.”,
“difficulty”: “medium”
},
{
“question”: “A sum becomes ₹1320 after 2 years at simple interest rate of 10%. What is the principal?”,
“options”: [“₹1000”, “₹1100”, “₹1200”, “₹900”],
“correct_answer”: “₹1100”,
“explanation”: “SI for 2 years = 20%. Amount = 120% of principal. Principal = 1320 × 100 / 120 = 1100.”,
“difficulty”: “hard”
},
{
“question”: “If the selling price of an article is ₹450 and profit is 12.5%, what is the cost price?”,
“options”: [“₹400”, “₹420”, “₹360”, “₹380”],
“correct_answer”: “₹400”,
“explanation”: “12.5% = 1/8. Selling price = 9/8 of CP. CP = 450 × 8 / 9 = 400.”,
“difficulty”: “hard”
},
{
“question”: “Two numbers differ by 20 and their ratio is 3:5. What is the smaller number?”,
“options”: [“30”, “40”, “50”, “60”],
“correct_answer”: “30”,
“explanation”: “Difference of ratio = 2 parts = 20. One part = 10. Smaller number = 3×10 = 30.”,
“difficulty”: “hard”
},
{
“question”: “A boat moves 24 km downstream in 3 hours and the same distance upstream in 4 hours. What is the speed of the boat in still water?”,
“options”: [“6 km/h”, “7 km/h”, “8 km/h”, “9 km/h”],
“correct_answer”: “7 km/h”,
“explanation”: “Downstream speed = 8 km/h, upstream speed = 6 km/h. Speed in still water = (8+6)/2 = 7 km/h.”,
“difficulty”: “hard”
},
{
“question”: “If the diameter of a sphere is doubled, how many times will its volume increase?”,
“options”: [“2 times”, “4 times”, “6 times”, “8 times”],
“correct_answer”: “8 times”,
“explanation”: “Volume of a sphere is proportional to the cube of radius. Doubling diameter doubles radius, so volume increases 2³ = 8 times.”,
“difficulty”: “hard”
},
{
“question”: “The average of 10 numbers is 25. If one number is removed, the average becomes 23. What is the removed number?”,
“options”: [“43”, “45”, “47”, “50”],
“correct_answer”: “45”,
“explanation”: “Total of 10 numbers = 10×25 = 250. Total of remaining 9 = 9×23 = 207. Removed number = 250 − 207 = 43.”,
“difficulty”: “hard”
}
]