71.

The sum of two numbers is equal to 20 and their difference is 25. The ratio of the two numbers is

• 9 : 1

• 7 : 9

• 3 : 5

• 3 : 5

A man travelled a distance of 80 km in 7 hrs partly on foot at the rate of 8 km per hour and partly on bicycle at 16 km per hour. The distance travelled on the foot is

• 32 km

• 48 km

• 36 km

• 36 km

The frequency distribution data is given below. If the average age is 17 years, the value of m is 
Age (in m years) :   8       20       26        29
Number of people:   3        2        m         1

• 1

• 2

• 3

• 3

The average monthly expenditure of a family for the first four months is ₹ 2570, for the next three months ₹ 2490 and for the last five months ₹ 3030. If the family saves ₹ 5320 during the whole year, the average monthly income of the family during the year is

• ₹ 3000

• ₹ 3185

• ₹ 3200

• ₹ 3200

After replacing an old member by a new member, it was found that the average age of five members of a club is the same as it was 3 years ago. The difference between the ages of the replaced and the new members is

• 2 years

• 4 years

• 8 years

• 8 years

A man spends ₹ 1800 monthly on an average for the first four months and ₹ 2000 monthly for the next eight months and saves ₹ 5600 a year. His average monthly income is

• ₹ 2000

• ₹ 2200

• ₹ 2400

• ₹ 2400

The arithmetic mean of the following numbers
1, 2, 2, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6 and 7, 7, 7, 7, 7, 7, 7, is

• 4

• 5

• 14

• 14

The average of six numbers is 20. If one number is removed, the average becomes 15. What is the number removed?

• 5

• 35

• 112

• 112

An item costing ₹ 200 is being sold at 10% less. If the price is further reduced by 5%, the selling price will be

• ₹ 170

• ₹ 171

• ₹ 175

• ₹ 175

A shopkeeper buys 144 items at 90 paise each. On the way 20 items are broken. He sells the remainder at ₹ 1.20 each. His gain per cent correct to one place of decimal is

• 13.8%

• 14.6%

• 14.8%

• 14.8%