Aptitude and Reasoning Questions

The pattern is + 1*1,+ 2*2, +3*3, + 4*4,+ 5*5,+ 6*6, . . . . . . .
So missing term is 56+36=92

Starting From his house, Sumanth walks 200 feet straight towards North; we can write it as N200. Similarly, the other distances and directions can be considered and written as follows : (Notice that he covers 300 yards towards East; one yard = 3 feet and hence 300 yards = 900 feet)

 N200S100E900 Adding all south and all North distances and finding the net result, and also adding all East and all West distances and finding the net result, this can further be summarized as : N100E900

 Thus, the direction from his original position is North-East.

Let x, y, z be the number of balls received by the three persons, then

x≥5, y≥5, z≥5 and x+y+z=21

Let u≥0, v≥0, w≥0 then

∴ x + y + z =21

⇒ u + 5 + v + 5 + w + 5 = 21

⇒ u + v + w = 6 

∴Total number of solutions = C3-16+3-1=C28=28

Number of runs scored more to increse the ratio by 1 is 26 - 14 = 12
To raise the average by one (from 14 to 15), he scored 12 more than the existing average.
Therefore, to raise the average by five (from 14 to 19), he should score 12 x 5 = 60 more than the existing average. Thus he should score 14 + 60 = 74.

The letter A satisfying the following Structure ZAB

A M B Z A N A A B Z A B A Z B A P Z  A B A Z A B 

Answer (A) is correct

(10 * 6) women can complete the work in 1 day.

 Therefore, 1 woman's  1 day's work = 1/60

(6 * 5) men can complete the work in 1 day.

 Therefore, 1 man's  1 day's work = 1/30

so, required ratio =1/30 : 1/60 = 2:1

Total number of female members = 115

Let the number of males = x

Number of females = y

=> x + y = 115  ......(1)

According to the given data,

x + y(0.50) = 69 ......(2)

From (1) & (2), we get

0.5y = 46

=> y = 46 x 2 = 92

=> x = 115 - 92 = 23

Hence, required number of gentlemen in the family = x = 23.