Directions (Q. 1 - 7): Solve the following questions -

1. Find the ratio in which rice at Rs. 7.20 a kg be mixed with rice at Rs. 5.70 a kg to produce a mixture worth Rs. 6.30 a kg.

a) 1 : 3
b) 2 : 3
c) 3 : 4
d) 4 : 5
e) None of these

2. One pipe can fill a tank three times as fast as another pipe. If together the two pipes can fill the tank in 86 minutes, then the slower pipe alone will be able to fill the tank in

a) 81 min
b) 108 min
c) 144 min
d) 192 min
e) None of these

3. What will be the simple interest earned on an amount of Rs.16,800 in 9 months at the rate of 6.25 % p.a.?

a) Rs.787.50
b) Rs.812.50
c) Rs.860
d) Rs.887.50
e) None of these

4. The students appeared at an examination. One of them secured 9 marks more than the other and his marks was 56% of the sum of their marks. The marks obtained by them are :

a) 39, 30
b) 41, 32
c) 42, 33
d) 43, 34
e) None of these

5. What is the ratio of the area of larger square shaped plot to the area of the smaller square shaped plot?

a) 17 : 1
b) 25 : 9
c) 16 : 1
e) None of these

6. The difference of the squares of two consecutive even integers is divisible by which of the following integers?

a) 3
b) 4
c) 6
d) 7
e) None of these

7. If the average marks of three batches of 55, 60 and 45 students respectively is 50, 55, 60, then the average marks of all the students is:

a) 53.33
b) 54.68
c) 55