Question: The sum of cubes of two numbers is 280. If the numbers are in the ratio 2:3, find the smallest number.

• 1. 4
• 2. 6
• 3. 3
• 4. 2

Question: Find the value of x when y = 5, if x varies directly as 4y-1 and x = 14 when y = 2.

• 1. 38
• 2. 35
• 3. 10
• 4. 28

Question: The number of seats available for Biology and Computer Science in a school is in the ratio 5:8. They are to be increased by 30% and 25% . Find the new ratio.

• 1. 6:10
• 2. 13:20
• 3. 3:4
• 4. 35:33

Question: A:B=2:3, B:C=3:4, A:D=4:5. Find C:D.

• 1. 2:5
• 2. 4:5
• 3. 6:5
• 4. 8:5

Question: Find the fourth proportion to 3, 7 and 9.

• 1. 63
• 2. 31
• 3. 21
• 4. 27

Question: If 40% of a number is equal to two-third of another number, what is the ratio of first number to the second number ?

• 1. 2 : 5
• 2. 3 : 7
• 3. 5 : 3
• 4. 7 : 3

Question: Seats for Mathematics, Physics and Biology in a school are in the ratio 5 : 7 : 8. There is a proposal to increase these seats by 40%, 50% and 75% respectively. What will be the ratio of increased seats ?

• 1. 2 : 3 : 4
• 2. 6 : 7 : 8
• 3. 6 : 8 : 9
• 4. None of these

Question: In a bag, there are coins of 25 p, 10 p and 5 p in the ratio of 1 : 2 : 3. If there is Rs. 30 in all, how many 5 p coins are there?

• 1. 50
• 2. 100
• 3. 150
• 4. 200

Question: Two numbers are in the ratio 3 : 5. If 9 is subtracted from each, the new numbers are in the ratio 12 : 23. The smaller number is :________?

• 1. 27
• 2. 33
• 3. 49
• 4. 55

Question: Two numbers are respectively 20% and 50% more than a third number. The ratio of the two numbers is :__________?

• 1. 2 : 5
• 2. 3 : 5
• 3. 4 : 5
• 4. 6 : 7