Dear Reader,
Below are 3 sample puzzles with solutions to prepare for Infosys papers.
Question 1
Anantharama Iyer and Gopalakrishna Gandhi – two friends were meeting after a long time. Gandhi told he has two kids and their age is less than 10. The sum of the squares of their age is 130.Anantharama Iyer told that he has three kids and first two of them are of the age of Gandhi’s two children and the sum of the squares of their age is 139. What is the age of the third child of Anantharama Iyer?
a) 4 b)5 c)3 d)cannot be determined
Answer : c) 3.
Solution :
The age of the two kids of Anantharama Iyer is same as that of Gandhi’s children. The sum of the squares of age of Gandhi’s children is 130. The sum of squares of age of Anantharama Iyer’s children is 139. That means the square of the age of the third child is 9. Age is 3 years.
Question 2
Skilled Men, skilled women and unskilled men are employed to do a road construction work in the proportion of 1:2:3 and their wages in the proportion of 6:3:2. When 50 skilled men are employed total daily wages of all the hands amount to Rs. 45000. Find the total weekly wages to be paid to a skilled man, a skilled woman and an unskilled man.
a) Rs.3850 b) Rs.4850 c)Rs.5850 d)Rs.6850
Answer : a) Rs. 3850
Solution :
Number of men, women and unskilled men are 1: 2: 3.
But the skilled men are 50 in number. Therefore number of skilled women workers = 50 x 2 = 100 and the number of unskilled men = 50 x 3 = 150
Their wages are in the ratio 6:3:2.
Assuming a man gets paid Rs.6, woman will get Rs.3 and an unskilled man will get Rs. 2
Total wages paid to all the employees - 50 x 6 + 100 x 3 + 150 x 2 = Rs.900
If the total wages are Rs. 900, a skilled man gets Rs.6
If the total wages are Rs.45000, a skilled man gets (45000 /900 ) x 6 = Rs. 300
Weekly wage of a skilled man = daily wage x 7 = 300 x 7 = Rs.2100
The ratio of wages between men and women is 6:3. i.e Each woman will earn half as that of a skilled man.
Total weekly wages of a woman = 2100/2 = Rs.1050
The ratio of wages between skilled men and unskilled men is 6:2. i.e Each unskilled man will earn 1/3rd of that of a skilled man.
Total weekly wages of an unskilled man = 2100/3 = Rs.700
Total weekly wages of a man, a woman and an unskilled man = 2100 + 1050 + 700 = Rs.3850
Question 3
Fill the Sequence DI,MR,VA, ?
a) EJ b) SZ c) BK d) FR
Answer : a) EJ
Solution :
In the sequence M is the 9th letter from D and V is the 9th letter from M. So the next letter will be the 9th character from V i.e E.
In DI, I is the 5th letter from D. In MR, R is the 5th letter from M and in VA and so on.
The fifth character from E will be J. So the next sequence letters will be EJ