Arithmetic

Ratio, Proportion & Variation

Medium

If $5A = 4B$ , $7B = 3C$ and $2C = 7D$ , then A : D is :

5 : 6

5 : 7

2 : 1

6 : 5

✅ Correct Option: 4

From $5A=4B$ : $A:B = 4:5$ . From $7B=3C$ : $B:C = 3:7$ . From $2C=7D$ : $C:D = 7:2$ . Combining: $A:B:C = 12:15:35$ , and extending $A:B:C:D = 12:15:35:10$ . Therefore $A:D = 12:10 = 6:5$ .

2023: 7 June Shift 1

If A : B : C = 1 : 4 : 7 and B = (2x)% of (A + C), then x is :

2026: 19 May Shift 2

A, B, C and D enter into a partnership. They invest ₹40000, ₹80000, ₹90000 and ₹120000 respectively. At the end of the first year, B withdraws ₹30,000 and A adds another ₹20,000, while at the end of the second year, C withdraws ₹40,000. In what ratio (in ascending order) will the profit be shared at the end of 3 years?

Choose the correct answer from the options given below:

2023: 11 June Shift 2

Two numbers are in the ratio 3: 5. If 10 is added to each number, then the ratio becomes 5: 7. Find the numbers.

2023: 1 June Shift 1

Joseph gifted Rs. 20000 to his wife and some money to his three children aged 12,14 and 16 years in the ratio of their ages. If he gave Rs. 3000 to his youngest child, then how much money he gifted to his family?

2025: 22 May Shift 1

If $a:b = \frac{12}{5}:\frac{3}{10}$ and $b:c = \frac{7}{9}:\frac{12}{7}$ then $a:c$ is

2026: 20 May Shift 1

A bag contains five-rupee, one-rupee, 50-paise, and 25-paise coins in the ratio 3 : 5 : 6 : 8. If the total amount of money in the bag is ₹225. The number of coins of each kind in ascending order :

(A) No. of coins of 25 paise

(B) No. of coins of one rupee

(D) No. of coins of five rupee

Choose the correct answer from the options given below:

If 5A=4B5A = 4B5A=4B, 7B=3C7B = 3C7B=3C and 2C=7D2C = 7D2C=7D, then A : D is :

Solution

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CUET General Test Past Year Questions (Topic-Wise)

If $5A = 4B$ , $7B = 3C$ and $2C = 7D$ , then A : D is :