Instructions

For the following questions answer them individually

Question 51

The compound interest on a sum off â‚¹8,400 in 3 years at a certain rate per cent per annum, is â‚¹6115.20, interest being

compounded annually. What will be the difference (in â‚¹) between compound interest on the same sum at the same rate for $$1\frac{1}{2}$$ years, when the interest is compounded half yearly and the simple interest on the same sum for same rate and for the same period?

Question 52

Two men X and Y working together, completed a job in 6 days. If X had worked thrice as efficiently as he actually worked and Y had worked one-fomth as efficiently as he acn,ally worked, the work would have been completed in 4 days. In how many days X alone could complete the work?

Question 53

The value of $$72 \div 180 \times 5 - \left[96 \div 64 of 5 - 25 \div 16 \times \left(23-29\right)-11\right] \div 1\frac{23}{30}$$ is:

Question 56

A cylindrical vessel of base radius 10.5 cm and height 30 cm is $$\frac{4}{5}$$ full of water. The entire water is poured into a rectangular tub of length 44 cm and breadth 36 cm. The height (in cm) to which the water level rises in the tub is:

(Take $$\pi = \frac{22}{7}$$) (Assuming no overflow of water)

Question 57

If the LCM of four distinct numbers is 270 and the HCF of each pair is 9, then what is the product of the four numbers?

Question 58

A trader sells an article at a discount of 28% on its marked price and still gains 20%. If he gains â‚¹10.50 on the sale of

one article, then what is the marked price (in â‚¹) of the article?

Question 59

A and B can do a cerain work in $$22\fra{1}{2}$$ days and 30 days, respectively. They started the work together but after 6 days, B had to leave. Then, A working with C completed the remaining work in 3 days. C alone can complete the original work in:

Question 60

Find the volume of a cone the radius of whose base is 18 cm and its height is 35 cm. (Taken $$\pi = \frac{22}{7}$$)

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