Two natural numbers are in the ratio 3 : 5 and their product is 2160. The smaller of the numbers is

• 36

• 24

• 18

• 12

What must be added to each term of the ratio 7 : 11, so as to make it equal to 3 : 4?

• 8

• _7.5

• 6.5

• 5

If ₹ 1000 is divided between A and B in the ratio 3 : 2, then A will receive

• ₹ 400

• ₹ 500

• ₹ 600

• ₹ 800

What number should be added to or subtracted from each term of the ratio 17 : 24 so that it becomes equal to 1 : 2?

• 5 is subtracted

• 10 is added

• 7 is added

• 10 is subtracted

The ratio of weekly incomes of A and B is 9 : 7 and the ratio of their expenditures is 4 : 3. If each saves ₹ 200 per week, then the sum of their weekly income is

• ₹ 3200

• ₹ 4200

• ₹ 4800

• ₹ 5600

If  x  :  y  = 5 : 6  then (3x² - 2y²) : (y² - x²) is

• 7 : 6

• 11 : 3

• 3 : 11

• 6 : 7

The incomes of A, B and C are in the ratio 7 : 9 : 12 and their spending are in the ratio 8 : 9 : 15. If A saves 1/4 of his income, then the saving of A, B and C are in the ratio of 

• 69 : 56 : 48

• 47 : 74 : 99

• 37 : 72 : 49

• 56 : 99 : 69

Three numbers are in the ratio 3 : 4 : 5. The sum of the largest and the smallest equals the sum of the second and 52. The smallest number is

• 20

• 27

• 39

• 52

An employer reduces the number of employees in the ratio 8 : 5 and increases their wages in the ratio 7 : 9. As a result, the overall wages bill is

• increased in the ratio 56 : 69

• decreased in the ratio 56 : 45

• increased in the ratio 13 : 17

• decreased in the ratio 17 : 13

The prices of a school bag and a shoe are in the ratio 7 : 5. The price of a school bag is ₹ 200 more than the price of a shoe. Then, the price of a shoe is

• ₹ 700

• ₹ 500

• ₹ 1200

• ₹ 200