In a school there were 1554 students and the ratio of the number of the boys and girls was 4 : 3. After a few days, 30 girls joined the school but a few boys left; as a result the ratio of the boys and girls became 7 : 6. The number of boys who left the school is

• 76

• 74

• 84

• 84

If (3x - 2y) : (2x + 3y) = 5  : 6, then one of the values of  is

• 

• 5

• 25

• 25

A and B have their monthly incomes in the ratio 8 : 5, while their monthly expenditures are in the ratio 5 : 3. If they have saved Rs. 12,000 and Rs 10,000 monthly respectively, then the difference in their monthly incomes is

• Rs 52,000

• Rs. 42,000

• Rs. 44,000

• Rs. 44,000

Rs. 2420 were divided among A, B and C so that A : B = 5 : 4 and B : C = 9 : 10 then C gets

• Rs. 680

• Rs. 800

• Rs. 900

• Rs. 900

In a regiment the ratio between the number of officers to soldiers was 3 : 31 before battle. In a battle 6 officers and 22 soldiers were killed and the ratio became 1 : 13, the number of officers in the regiment before battle was

• 31

• 38

• 21

• 21

Among 132 examinees of a certain school, the ratio of successful to unsuccessful students is 9 : 2. Had 4 more students passed, then the ratio of successful would have been

• 14 : 3

• 14 : 5

• 28 : 3

• 28 : 3

The sum of three numbers is 540. The ratio of second to third is 9 : 13 and that of first to third is 2 : 7. The third number is

• 273

• 280

• 250

• 250

Three numbers are in the ratio 1 : 2 : 3 and the sum of their cubes is 4500. The smallest number is

• 4

• 5

• 6

• 6

49.

Two numbers are in the ratio 3 : 5. If 6 is added to both of them, the ratio becomes 2 : 3. The numbers are

• 21 and 35

• 30 and 50

• 24 and 40

• 24 and 40

The ratio of two positive numbers is 3 : 4. The sum of their squares is 400. What is the sum of the numbers?

• 28

• 22

• 24

• 24