AIEEE Questions

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1 man's 1 day work = 1/108
12 men's 6 day's work = 1/9 x 6 = 2/3

Remaining work = 1 - 2/3 = 1/3

16 men's 1 day work = 1/108 x 16 = 4/27
4/27 work is done by them in 1 day.

1/3 work is done by them in 27/4 x 1/3 = 9/4 days.

LCM of (80, 85, 90) can be found by prime factorizing them.

80 → 2 × 2 × 2 × 2 × 5

85 → 17 × 5

90 → 2 × 3 × 3 × 5

L.C.M of (80,85,90) = 2 × 2 x 2 × 2 × 3 × 3 × 5 × 17

= 16 x 9 x 85

= 144 x 85

= 12240

L.C.M of (80,85,90) = 12240.

We have to find out even number - even number - odd number sequence.

 8 5 8 6 7 6 8 9 3 2 7 5 3 4 2 2 3 5 5 2 2 8 1 1 9 3 1 7 5 1

 There are four such such even numbers: 6,8,2 and 8.

M is 8th from the top.

H is (50 - 20 + 1 =) 31 st from the top.

  Number of students between M and H = (31 - 8- 1=)22

Quantity of fruit juice in the mixture = 70 - [70 x (10/100) ]= 63 litres.

After adding water, juice would form 87.5% of the mixture.

Hence, if quantity of mixture after adding x liters of water, [(87.5) /100 ]*x = 63 => x = 72 

Hence 72 - 70 = 2 litres of water must be added.

Countries have the same name as their capital cities are ::

Andorra,

Djibouti,

Guatemala,

Kuwait,

Luxembourg,

Mexico,

Monaco,

Panama,

San Marino,

Singapore,

and

Vatican City.

What has one eye yet cannot see is An Eye of a Needle.

A needle has an eye through which we thread it but it is not for seeing.