Maths Reasoning PDF notes Gagan Pratap Abhinay Sharma Rakesh yadav Gopal SSC CGL CHSL RAILWAY NTPC
Maths Reasoning PDF notes Gagan Pratap Abhinay Sharma Rakesh yadav Gopal SSC CGL CHSL RAILWAY NTPC
February 9, 2025 at 03:52 AM
*✅Top 10 Maths ques of ssc previous year paper* 1. *If the cost price of 20 articles is equal to the selling price of 15 articles, what is the profit percentage?* (A) 25% (B) 33.33% (C) 50% (D) 66.67% Answer: (C) 50% Explanation: Let the cost price (CP) of each article be ₹1. Therefore, CP of 20 articles = ₹20. Selling price (SP) of 15 articles = ₹20, so SP of each article = ₹20/15 = ₹4/3. Profit per article = SP - CP = ₹4/3 - ₹1 = ₹1/3. Profit percentage = (Profit/CP) × 100 = (1/3) × 100 = 33.33%. 2. *A train running at 60 km/h crosses a pole in 9 seconds. What is the length of the train?* (A) 120 meters (B) 150 meters (C) 180 meters (D) 200 meters Answer: (B) 150 meters Explanation: Speed = 60 km/h = 60 × (1000/3600) m/s = 50/3 m/s. Distance = Speed × Time = (50/3) × 9 = 150 meters. 3. *The ratio of the ages of A and B is 3:4. After 5 years, the ratio will be 4:5. What is the present age of A?* (A) 15 years (B) 20 years (C) 25 years (D) 30 years Answer: (A) 15 years Explanation: Let the present ages of A and B be 3x and 4x respectively. After 5 years, (3x + 5)/(4x + 5) = 4/5. Solving for x, we get x = 5. Therefore, A's age = 3x = 15 years. 4. *If the sum of the squares of two consecutive even numbers is 340, what are the numbers?* (A) 10 and 12 (B) 12 and 14 (C) 14 and 16 (D) 16 and 18 Answer: (C) 14 and 16 Explanation: Let the numbers be x and x + 2. Then, x² + (x + 2)² = 340. Solving for x, we get x = 14. Therefore, the numbers are 14 and 16. 5. *A man can row upstream at 6 km/h and downstream at 10 km/h. What is the speed of the current?* (A) 2 km/h (B) 3 km/h (C) 4 km/h (D) 5 km/h Answer: (A) 2 km/h Explanation: Speed of current = (Downstream speed - Upstream speed) / 2 = (10 - 6) / 2 = 2 km/h. 6. *The average of five consecutive odd numbers is 35. What is the smallest number?* (A) 27 (B) 29 (C) 31 (D) 33 Answer: (B) 29 Explanation: Let the numbers be x, x+2, x+4, x+6, x+8. Their average = (5x + 20)/5 = x + 4. Given, x + 4 = 35, so x = 31. Therefore, the smallest number is 31. 7. *If a + b = 12 and ab = 35, find the value of a² + b².* (A) 74 (B) 94 (C) 144 (D) 154 Answer: (A) 74 Explanation: a² + b² = (a + b)² - 2ab = 12² - 2×35 = 144 - 70 = 74. 8. *A sum of money amounts to ₹2,520 in 2 years at 5% per annum simple interest. What is the principal amount?* (A) ₹2,400 (B) ₹2,300 (C) ₹2,200 (D) ₹2,000 Answer: (D) ₹2,000 Explanation: Let the principal be P. Simple Interest (SI) = P × Rate × Time / 100 = P × 5 × 2 / 100 = 0.1P. Amount = Principal + SI = P + 0.1P = 1.1P. Given, 1.1P = 2,520, so P = 2,520 / 1.1 = ₹2,000. 9. *The perimeter of a rectangle is 60 meters, and its length is twice its breadth. What is the area of the rectangle?* (A) 100 m² (B) 180 m² (C) 200 m² (D) 220 m² Answer: (B) 200 m² Explanation: Let the breadth be x meters. Then, length = 2x meters. Perimeter = 2(length + breadth) = 60, so 2(2x + x) = 60, 6x = 60, x = 10. Therefore, length = 20 meters, breadth = 10 meters. Area = length × breadth = 20 × 10 = 200 m². 10. *If the difference between the compound interest and simple interest on a certain sum for 2 years at 10% per annum is ₹50, what is the sum?* (A) ₹5,000 (B) ₹4,500 (C) ₹4,000 (D) ₹3,500 Answer: (C) ₹5,000 Explanation: Difference between CI and SI for 2 years = P × (R/100)². Given, P × (10/100)² = 50, so P × 0.01 = 50, P = 50 / 0.01 = ₹5,000. https://whatsapp.com/channel/0029Vb4yZFxEquiTxKm3yJ0D/100
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