- The most powerful thing in life is our thinking. Which has ability to change any situation. *
Q1. *If the cost price of 20 articles is equal to the selling price of 15 articles, what is the profit percentage?
Q1. यदि 20 वस्तुओं का लागत मूल्य 15 वस्तुओं के विक्रय मूल्य के बराबर है, तो लाभ प्रतिशत क्या है?
(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%.
Q2. *A train running at 60 km/h crosses a pole in 9 seconds. What is the length of the train?
Q2. 60 किमी/घंटा की गति से चलने वाली एक ट्रेन 9 सेकंड में एक खंभे को पार कर जाती है। ट्रेन की लंबाई कितनी है?
(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.
Q3. *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?
Q3. A और B की आयु का अनुपात 3:4 है। 5 वर्षों के बाद अनुपात 4:5 हो जाएगा। A की वर्तमान आयु क्या है?
(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.
Q4. *If the sum of the squares of two consecutive even numbers is 340, what are the numbers?
Q4. यदि दो क्रमागत सम संख्याओं के वर्गों का योग 340 है, तो संख्याएँ क्या हैं?
(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.
Q5. *A man can row upstream at 6 km/h and downstream at 10 km/h. What is the speed of the current?
Q5. एक आदमी धारा के विपरीत 6 किमी/घंटा की गति से और धारा के अनुकूल 10 किमी/घंटा की गति से नाव चला सकता है। धारा की गति क्या है?
(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.
Q6. *The average of five consecutive odd numbers is 35. What is the smallest number?
Q6. *पांच क्रमागत विषम संख्याओं का औसत 35 है। सबसे छोटी संख्या कौन सी है?
(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.
Q7. *If a + b = 12 and ab = 35, find the value of a² + b².
Q7. *यदि a + b = 12 और ab = 35 है, तो a² + b² का मान ज्ञात कीजिए।
(A) 74
(B) 94
(C) 144
(D) 154
Answer: (A) 74
Explanation: a² + b² = (a + b)² – 2ab = 12² – 2×35 = 144 – 70 = 74.
Q8. *A sum of money amounts to ₹2,520 in 2 years at 5% per annum simple interest. What is the principal amount?
Q8. 5% प्रति वर्ष साधारण ब्याज की दर से 2 वर्षों में एक धनराशि ₹2,520 हो जाती है। मूल राशि क्या है?
(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.
Q9. *The perimeter of a rectangle is 60 meters, and its length is twice its breadth. What is the area of the rectangle?
Q9. *एक आयत की परिधि 60 मीटर है, और इसकी लंबाई इसकी चौड़ाई से दोगुनी है। आयत का क्षेत्रफल क्या है?
(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.
Q10. *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?
Q10. *यदि एक निश्चित राशि पर 2 वर्ष के लिए 10% प्रति वर्ष की दर से चक्रवृद्धि ब्याज और साधारण ब्याज के बीच का अंतर ₹50 है, तो राशि क्या है?
(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 = ₹5,000.108:57 PM