
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.
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