A 18-litre mixture contains milk and water in the ratio 1 : 2. If 12 litres of water is added, what is the new ratio of milk to water?
Solution
Milk = 6 L, water = 12 L.
After adding: water = 24 L, so milk : water = 6 : 24 = 1 : 4.
Answer: (B) 1 : 4
Quantitative Aptitude · Arithmetic
Ratio and Proportion: MAH CET, NMAT and SNAP practice questions
20 questions in the pattern of MAH MBA CET, NMAT and SNAP. Each question is marked with the exams it suits. Answer it, then open the step-by-step solution.
Exam:
What is the compound ratio of 6 : 2, 7 : 5 and 6 : 8?
Solution
Multiply the antecedents and the consequents: 252 : 80 = 63 : 20.
Answer: (D) 63 : 20
Rs. 940 is divided among A, B and C in the ratio 1/3 : 1/4 : 1/5. What is A's share?
Solution
Multiply by LCM 60: ratio = 20 : 15 : 12.
A's share = 20/47 × 940 = 400.
Answer: (C) Rs. 400
The efficiencies of A and B are in the ratio 5 : 4, and they worked for 4 and 3 days respectively. If together they earn Rs. 1800, what is A's share?
Solution
Earnings ∝ efficiency × days: 5 × 4 : 4 × 3 = 20 : 12.
A's share = 20/32 × 1800 = 1125.
Answer: (A) Rs. 1125
A 90-litre mixture contains milk and water in the ratio 4 : 5. If 4 litres of water is added, what is the new ratio of milk to water?
Solution
Milk = 40 L, water = 50 L.
After adding: water = 54 L, so milk : water = 40 : 54 = 20 : 27.
Answer: (C) 20 : 27
If A : B = 3 : 2 and B : C = 4 : 4, what is A : B : C?
Solution
Make B equal: A : B = 12 : 8; B : C = 8 : 8.
A : B : C = 3 : 2 : 2.
Answer: (C) 3 : 2 : 2
The incomes of A and B are in the ratio 8 : 7 and their expenses in the ratio 4 : 2. If each saves Rs. 6000, what is A's income?
Solution
Let incomes be 8x, 7x and expenses 4y, 2y.
8x − 4y = 7x − 2y = 6000. Solving gives x = 1000, y = 500.
A's income = 8 × 1000 = 8000.
Answer: (D) Rs. 8000
Two numbers are in the ratio 5 : 3 and their sum is 40. What is the difference between them?
Solution
One part = 40/8 = 5.
Difference = 2 × 5 = 10.
Answer: (A) 10
Rs. 2350 is divided among A, B and C in the ratio 1/3 : 1/4 : 1/5. What is A's share?
Solution
Multiply by LCM 60: ratio = 20 : 15 : 12.
A's share = 20/47 × 2350 = 1000.
Answer: (A) Rs. 1000
Two numbers are in the ratio 2 : 3. If 13 is added to each, the ratio becomes 25 : 31. What is the smaller number?
Solution
(2k + 13) : (3k + 13) = 25 : 31.
Cross-multiplying gives k = 6; numbers are 12 and 18.
Answer: (B) 12
A bag has 1-rupee, 50-paise and 25-paise coins in the ratio 6 : 2 : 3. The total value is Rs. 201.50. How many 25-paise coins are there?
Solution
Value = 6x + 2x/2 + 3x/4 = 31x/4 = 201.5, so x = 26.
25-paise coins = 3 × 26 = 78.
Answer: (A) 78
Rs. 2600 is divided among A, B and C in the ratio 6 : 5 : 2. What is C's share?
Solution
One part = 2600/13 = 200.
C's share = 2 × 200 = 400.
Answer: (C) Rs. 400
Two numbers are in the ratio 5 : 4 and their sum is 45. What is the difference between them?
Solution
One part = 45/9 = 5.
Difference = 1 × 5 = 5.
Answer: (B) 5
A bag has 1-rupee, 50-paise and 25-paise coins in the ratio 1 : 6 : 2. The total value is Rs. 36. How many 25-paise coins are there?
Solution
Value = 1x + 6x/2 + 2x/4 = 18x/4 = 36, so x = 8.
25-paise coins = 2 × 8 = 16.
Answer: (B) 16
The salaries of A and B are in the ratio 2 : 3. If each gets an increment of Rs. 3000, the ratio becomes 8 : 9. What is A's present salary?
Solution
(2k + 3000) : (3k + 3000) = 8 : 9.
9(2k + 3000) = 8(3k + 3000) gives k = 500.
A's salary = 2 × 500 = 1000.
Answer: (C) Rs. 1000
Rs. 1950 is divided among A, B and C in the ratio 3 : 8 : 2. What is B's share?
Solution
One part = 1950/13 = 150.
B's share = 8 × 150 = 1200.
Answer: (B) Rs. 1200
If A : B = 9 : 9 and B : C = 7 : 5, what is A : B : C?
Solution
Make B equal: A : B = 63 : 63; B : C = 63 : 45.
A : B : C = 7 : 7 : 5.
Answer: (A) 7 : 7 : 5
What is the compound ratio of 4 : 8, 5 : 7 and 3 : 2?
Solution
Multiply the antecedents and the consequents: 60 : 112 = 15 : 28.
Answer: (A) 15 : 28
Two numbers are in the ratio 3 : 2. If 14 is added to each, the ratio becomes 29 : 24. What is the smaller number?
Solution
(3k + 14) : (2k + 14) = 29 : 24.
Cross-multiplying gives k = 5; numbers are 15 and 10.
Answer: (B) 10
The incomes of A and B are in the ratio 5 : 6 and their expenses in the ratio 2 : 4. If each saves Rs. 7200, what is A's income?
Solution
Let incomes be 5x, 6x and expenses 2y, 4y.
5x − 2y = 6x − 4y = 7200. Solving gives x = 1800, y = 900.
A's income = 5 × 1800 = 9000.
Answer: (B) Rs. 9000
These are original practice questions written by Target Campus in the pattern and difficulty of MAH MBA CET, NMAT, SNAP and other MBA entrance tests. They are not previous-year papers.
Preparing for MAH CET, NMAT, SNAP or CAT? Courses, live classes and mocks by Dr. Kiran Derle at Target Campus.
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