Instructions

For the following questions answer them individually

Question 51

The ratio of two numbers $$x$$ and y is 4 : 7. If 6 is added to $$x$$ and 7 is subtracted from y , then their ratio becomes 3 : 4.

What is the difference between $$x$$ and y?

Question 52

The curved smface area of a right circular cylinder of height 14 cm is 176 $$cm^{2}$$. What is the area (in $$cm^{2}$$) of the base of

tbe cylinder? (Take $$\pi = \frac{22}{7}$$)

Question 53

7 men can pack 14 boxes in 6 days by working for 7 hours a day. How many days will be required by 14 men to pack 18 boxes, if they work for 9 hours a day?

Question 55

A sum amounts to â‚¹9,261 in 3 years at 5% per annum, interest compounded annually. What is the simple interest (in â‚¹) on the same sum for $$3\frac{3}{4}$$ years at the same rate of interest?

Question 56

A sum of â‚¹10500 amounts to â‚¹12705 in 2 years at $$x$$ % p.a., when the interest is compounded annually. The same sum will amount (in â‚¹) to what at 2 $$x$$ % p.a . in $$1\frac{1}{2}$$ years, when interest compounded half yearly?

Question 57

A person travels equal distances at speeds of 3 km/h, 4 km/h, 5 km/h and 6 km/h, and takes a total time of 3 hours 48 minutes. The total distance (in km) is:

Question 58

Pipes A, B and C can fill a tank in 10, 15 and 18 hours, respectively. A and C are opened for 5 hours, then only pipe A is closed and B is opened at the same time (with C). The total time taken to fill the tank completely is:

Question 59

If a sum of â‚¹644 is divided into three paits proportional to $$\frac{1}{2} : \frac{2}{3} : \frac{3}{4}$$ then the first pa11 will be:

Question 60

The surface areas of three coterminous faces of a cuboid are 5 $$cm^{2}$$, 16 $$cm^{2}$$, and 20 $$cm^{2}$$ respectively. Find the volume

of the cuboid.

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