Exams › SSC CGL (Prelims) › General

Three positive numbers are in the ratio 4 : 5 : 7. If the sum of their squares is 15,210, what is the sum of the three numbers?

1. 148
2. 156
3. 126
4. 208

Correct answer: 208

Solution

Let the numbers be 4k, 5k, and 7k. Sum of squares: (4k)^2 + (5k)^2 + (7k)^2 = 16k^2 + 25k^2 + 49k^2 = 90k^2 = 15210. So k^2 = 169, k = 13. Sum = 4(13) + 5(13) + 7(13) = (4+5+7) x 13 = 16 x 13 = 208.

Related SSC CGL (Prelims) General questions

• A shopkeeper sells rice at a discount of 6% on the marked price but uses a weight that is 25% less than the actual weight. Find his overall profit percentage.
• The profit made on an article sold for ₹2400 is equal to the loss incurred when it is sold for ₹2000. What will be the profit or loss percentage if the article is sold for ₹2200?
• Train A leaves Station X at 5:00 AM at 50 km/h. Train B leaves Station Y at 7:30 AM at 80 km/h. Both trains move towards each other. The distance between the stations is 500 km. When do they meet?
• A wholesaler marks up goods by 50% and gives a 12% trade discount. A retailer marks up by 20% and offers an 8% discount. The customer pays ₹12,216. What is the wholesaler's cost price approximately?
• If A : B = 3 : 4, B : C = 5 : 6, and C : D = 7 : 8, then find B : D.
• What is the result of $3^2 + 5 \div 0.8$?

⚔️ Practice SSC CGL (Prelims) General free + battle 1v1 →