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

1. The average weight of 8 person's increases by 2.5 kg when a new person comes in place of one of them weighing 65 kg. What might be the weight of the new person?

a) 76Kg
b) 76.5Kg
c) 85Kg
e) None of these

2. In Arum’s opinion, his weight is greater than 65 kg but less than 72 kg. His brother doest not agree with Arum and he thinks that Arum’s weight is greater than 60 kg but less than 70 kg. His mother's view is that his weight cannot be greater than 68 kg. If all are them are correct in their estimation, what is the average of different probable weights of Arum?

a) 67 kg
b) 68 kg
c) 69 Kg.
e) None of these

3. Product of two co-prime numbers is 117. Their LCM should be

a) 1
b) 117
c) equal to their H.C.F.
d) Cannot be calculated
e) None of these

4. A starts a business with Rs.3500 and after 5 months, B joins with A as his partner. After a year, the profit is divided in the ratio 2 : 3. What is B’s contribution in the capital?

a) Rs.7500
b) Rs.8000
c) Rs.8500
d) Rs.9000
e) None of these

5. In how many different ways can the letters of the word 'DETAIL' be arranged in such a way that the vowels occupy only the odd positions?

a) 32
b) 48
c) 36
d) 60
e) None of these

6. Two dice are tossed. The probability that the total score is a prime number is:

a) 1/6
b) 5/1
c) 1/2
d) 7/9
e) None of these

7. The sum of the ages of 5 children born at the intervals of 3 years each is 50 years. What is the age of the youngest child?

a) 4 years
b) 8 years
c) 10 years
d) 12 years
e) None of these