L&T Aptitude Paper 1 - Quant MCQ

Men - 20% of total 35% is 7% of all employees

Women - 40% of total 65% is 26% of all employees

So total (26+7) = 33% employees went to picnic.

Divide the balls into 3 groups - each of size 6561/3 = 2187.

Comparing weight of two groups. Now take the heaviest - and sub-divide into 3 more groups 2187/3 = 729

Take the heaviest - divide into 3 - 729/3 = 243.

Similarly continue weighing the group of balls.

Take the heaviest - divide into 3 - 243/3 = 81.

Take the heaviest - divide into 3 - 81/3 = 27.

Take the heaviest - divide into 3 - 27/3 = 9

Take the heaviest - divide into 3 - 9/3 = 3.

Take the heaviest - divide into 3 - 3/3 = 1.

So, minimum number of weights = 8

Since at 5 : 25 the minute hand will be at 5 and the angle between them will be same as the distance covered in degree by the hour hand in 25 minutes

Required angle = distance of hour hand = speed × time = 1/2*25 =12.5 degrees

Required sum = (80 - 3 x 3) years = (80 - 9) years = 71 years.

let y be the total number of loaves

a be the remaining loaves after 1st thief

b be the remaining loaves after 2nd thief

.e = 0 be the remaining loaves after 5th thief

a = y - 0.5y - 0.5

= 0.5y - 0.5

b = a - 0.5a - 0.5

= 0.5a - 0.5

c = 0.5b - 0.5

d = 0.5c - 0.5

e = 0.5d - 0.5 but e = 0,

thus,

d = 1

c = 3

b = 7

a = 15

y = 31

Since speed is decreased by 20% i.e. 1/5 of the original. New speed will become 4/5 of the original speed.

For the same distance, the time will become 5/4 of original time.

Therefore new time increase by 4 1 of the original.

This is given equal to 7 minutes.

So Usual time = 7 - 4 = 28 minutes and New time = 28 + 7 = 35 minutes.

Since there are socks of only two colours, so two out of any three socks must always be of the same colour.