**Q6. Nine persons went to a hotel for taking their meals. Eight of them spend Rs. 12 each on their meals and the ninth spent Rs. 8 more than the average expenditure of all the nine. What was the total money spend by them ?**

a) Rs 118

b) Rs 116

c) Rs 117

d) None of these

A. **(c)**

Let the average expenditure of all the nine be Rs. x.

So, 12 * 8 + (x +8) = 9x

8x = 104

x = 13

Also, total money spent is 9x.

So, Rs. 117 is amount spent.

**Q7. The distance between two stations A and B is 778 km. A train covers the journey from A to B at 84 km per hour and returns back to A with a uniform speed of 56 km per hour. Find the average speed of train during the whole journey.**

a) 68.4

b) 68

c) 67.20

d) None of these

A. **(c)**

As per the formula given in our tutorial,

average speed = 2xy/(x + y)

So, on applying formula we get,

average speed = 2 * 84 * 56 / 140

average speed = 67.2 km/hr.

**Q8.** **The average of 50 numbers is 30. If two numbers, 35 and 40 are discarded, then find the average of the remaining numbers.**

a) 29.32

b) 29.68

c) 28.68

d) None of these

A. **(b)**

Average of 50 numbers = 30

So,

As per the formula given in our tutorial,

Now, 35 and 40 are discarded so,

**29.68 Ans.**

**Q9. Rohit Sharma’s batting average for 10 matches is 51.34 runs. If the average of first 5 matches is 50, then find the average of last 5 matches.**

a) 53

b) 54.34

c) 53.23

d) None of these

A. **(d)**

Sum of last 5 matches :

Average of last 5 matches :

263.4/5

**52.68 Ans.**

**Q10. The average weight of 10 people in a ship is increased by 2 kg when one member (weighing 50 kg) is replaced by a new man. Find the weight of new man.**

a) 70

b) 50

c) 20

d) None of these

A. **(a)**

Total weight increased = 2 * 10 kg => 20 kg

Weight of new man = (50 + 20) => 70 kg.