Q.1 There are 31 kgs of rice. With a 1 kg weight,Find out the minimum number of weighings required to weigh 31 kgs.
A) 5 weighings
B) 6 weighings
C) 7 weighings
D) 8 weighings
5 weighings ie., 1-1, 2-2, 4-4, 8-8, 16-16.
Q.2 A green grocer was selling apple at a penny each, chikoos at 2 for a penny, peanuts at 3 for a penny. A father spent 7 pennies and got same amount of each type of fruit for each of his three children. What did each children get?
A) 1 apple, 2 chikoos, 2 peanuts
B) 1 apple, 2 chikoos, 1 peanut
C) 1 apple, 3chikoos, 2 peanuts
D) 1 apple, 1 chikoos, 1 peanut
2 Chikoos are of 1 penny or 1 chikoo= ½ =0.5
In same way, 3 peanuts for 1 penny ,or 1 peanut = 1/3 =0.33
Now see options & determine where 7 pennies are consuming:
A) 1 apple i.e. 1*3 (since 3 students are there)
2 chikoos,i.e. 2*3=6
Or 6*0.5 = 3
2 peanuts,i.e. 0.33*6
Q.3 After gathering 770 chestnuts, three girls divided them up so that amounts were in the same proportion as their ages. As often as Mary took four chestnuts, Nelli took three, and for every six that Mary received, Susie took seven. How many chestnuts did each girl get?
B) Mary-198, Nelli-264,Susie-298
Let mary take m , nellie take n and susie take s chestnuts …
then , m : n =4:3 = 12:9
and , s : m = 7:6 = 14:12
therefore, s : m : n = 14 : 12 :9
so susie got (14/35) *770 =308
mary got =264
and nellie =198
Q.4 A king gave each of his sons a few gold coins such that no pair of sons has the same number of gold coins as any other pair of sons. If the king has six sons, What is the minimum number of gold coins that the king could have given his sons?
The series is
1,2,3,5,8,13… ( addition of two consecutive numbers gives the next number).
no pair of sons will have equal number of gold coins
Q.5 Maria buys one clown fish and 3 guppies for $5 and 2 clown fish and 5 guppies for $9. Find the price of 1 guppy.
Let c be price of clown fish and g be that of guppy.
c + 3g = 5 …….(i) and 2c + 5g = 9…………(ii)
Solving (i) and (ii), we get g = 1, c = 2