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Question

If x : 12 = 5 : 6, what is the value of x?

This question was previously asked in
RRB Technician 2026 Grade 3 Question Paper (7-Oct-2026) (Shift 3)
The correct answer is

10

Write the ratio statement as an equation of fractions: \( \frac{x}{12}=\frac{5}{6} \).

Cross-multiply: \( 6x=5\times12=60 \).

Divide both sides by 6: \( x=\frac{60}{6}=10 \). Check: 10 : 12 reduces to 5 : 6 on dividing by 2.

Hence, the value of x is 10.

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Similar Questions

  1. The mean proportional between 16 and 12.25 is:

  2. The fourth proportional to three numbers a, b and c is 84. The ratio of a to b is 5 : 6 and the ratio of b to c is 3 : 5. What is the value of a?

  3. The ratio of three numbers is 2 : 3 : 5 and their sum is 200. What is the value of the largest number?

  4. A dump truck runs 54 km on 12 liters of fuel. How many kilometres will it run on 60 liters of fuel?

  5. A sum of money is distributed among Amit, Bharat and Chetan in the ratio of 5 : 7 : 9. If the share of Bharat is ₹490 less than the combined share of Amit and Chetan, then what is the total sum of money distributed among them?

  6. The mean proportion of 5 and 20 is:

  7. In a college, the students in Science and Commerce faculties were in the ratio of 9 : 7, respectively. If 9 more students joined the Science faculty and 6 students left the Commerce faculty, the ratio of students in the Science and Commerce faculties becomes 12 : 5, respectively. How many students were there in both faculties together initially?

  8. A has 72 articles whereas B has X same kind of articles. If the ratio of articles of A and B is 9 : 11. Then the value of 72 + X is:

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Important Questions from Simple Ratios

  1. Half of the villagers of a certain village have their own houses. One-fifth of the villagers cultivate paddy. One-third of the villagers are literate. Four-fifth of the villagers are under 25 years of age. Which one of the following statements is certainly correct ?

  2. A bag contains Rs. 420 in the form of 5 rupee, 2 rupee, and 1 rupee coins. The number of coins of 5 rupee, 2 rupee, and 1 rupee is in the ratio of 2 : 3 : 5. What is the total number of coins in the bag?

  3. If P/Q = 8/9 and Q - P = 12, then what is the value of P?

  4. A child gets 1 random coin out of Re 1, Rs 2, and Rs 5 coins daily. He starts on 1st April and at the end of the month, he has coins in the ratio 5 ∶ 4 ∶ 6. Find the value of the coins with him

  5. Find the proportion equivalent to M : N : O : P if M : N = 8 : 15, N : O = 5 : 9 and O : P = 18 : 19 ?

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