SSC CGL Tier-1 practice question
Two numbers are in the ratio 5 : 8. If the first number is increased by 13 and the second number is decreased by 6, then the ratio becomes 4 : 6. What is the sum of the original two numbers?
From a SSC CGL Tier-1 General Awareness practice set · General Awareness
Tap an option to check your answer.
Show answer and explanation
Correct answer: (D) 663
Let the numbers be 5x and 8x. (5x+13):(8x−6) = 4:6 → 6(5x+13) = 4(8x−6) → 30x + 78 = 32x − 24 → 102 = 2x → x = 51. So the numbers are 5×51=255 and 8×51=408, and their sum = 255+408 = 663.
हिंदी में प्रश्न
दो संख्याओं का अनुपात 5 : 8 है। यदि पहली संख्या में 13 जोड़ी जाए और दूसरी संख्या में से 6 घटाई जाए, तो अनुपात 4 : 6 हो जाता है। दोनों मूल संख्याओं का योग क्या है?
उत्तर जाँचने के लिए किसी विकल्प पर टैप करें।
उत्तर और व्याख्या देखें
सही उत्तर: (D) 663
मान लें संख्याएँ 5x और 8x हैं। (5x+13):(8x−6) = 4:6 → 6(5x+13) = 4(8x−6) → 30x + 78 = 32x − 24 → 102 = 2x → x = 51। अतः संख्याएँ 5×51=255 और 8×51=408 हैं, और उनका योग = 255+408 = 663।
More solved General Awareness questions
- On a sum of money, when invested for 2 years, compound interest and simple interest are `300 and `250, respectively. For both simple and…
- The mode and median of a data is 26.7 and 71, respectively. What is the mean of the data? (Use empirical formula.)
- What should come in place of the question mark (?) in the given series? 85 94 108 127 151 ?
- A theater sold 500 tickets to a concert. The tickets for adults cost 20 each, and the tickets for children cost 12 each. If the total…
- What should come in place of the question mark (?) in the given series? 34 34 46 46 58 58 70 70 ?
- The ratio of numbers of girls and boys participating in sports of a school is 1 : 5. If the number of girls is 239, determine the number…