Question : The ratio of investments of P and Q is 4 : 5. P invests for 1 year and Q invests for 2 years. What is the ratio of profit of P and Q?
Option 1: 3 : 5
Option 2: 4 : 7
Option 3: 2 : 5
Option 4: 1 : 2
Correct Answer: 2 : 5
Solution : The ratio of investment of P and Q = 4 : 5 Time ratio (in years) = 1 : 2 The profit ratio is equal to the product of investment and time ratio. So, the profit ratio of P and Q = (4 × 1) : (5 × 2) = 4 : 10 = 2 : 5 Hence, the correct answer is 2 : 5.
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Question : Raman, Rohit, and Raja are partners and invest in a business. Raman invests $\frac{1}{4}$th of the total and Rohit invests $\frac{1}{3}$rd of the total. What is the ratio of profit of Raman, Rohit, and Raja respectively?
Option 1: 4 : 3 : 1
Option 2: 3 : 4 : 4
Option 3: 3 : 4 : 5
Option 4: 4 : 3 : 5
Question : The ratio of the fifth and sixth terms of the sequence 1, 3, 6, 10, ..... is:
Option 1: $5:6$
Option 2: $5:7$
Option 3: $7:5$
Option 4: $6:5$
Question : The radii of two cylinders are in the ratio of 4 : 5 and their heights are in the ratio of 5 : 2. The ratio of their volume is:
Option 1: 9 : 4
Option 2: 2 : 1
Option 3: 9 : 7
Option 4: 8 : 5
Question : The value of 7 ÷ [5 + 1 ÷ 2 - {4 + (4 of 2 ÷ 4) + (5 ÷ 5 of 2)}] is:
Option 1: $7$
Option 2: $\frac{7}{2}$
Option 3: $-7$
Option 4: $-\frac{7}{2}$
Question : The diagonals of two squares are in the ratio of 3 : 7. What is the ratio of their areas?
Option 1: 3 : 7
Option 2: 9 : 49
Option 3: 4 : 7
Option 4: 7 : 3
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