51. The average price of three items of furniture is Rs. 15000. If their prices are in the ratio 3 : 5 : 7, the price of the cheapest item is :
Answer:
Explanation:Let the price of the three items be 3x,5x and 7x
(3x+5x+7x)/3=15000
15x/3=15000
15x=45000
x=45000/15
x= rs 3000
price of the cheapest item = 3*3000= rs 9000
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MindTree
52. A certain organization has three committees. only two persons are members of all committees, but every pair of committees have three members in common. what is the least possible no of member of members on any one committee?
Answer:
Explanation:ABCD, ABCE, ABDE
Total 4 members minimum required to serve only on one committee.
Workspace
MindTree
53. A vessel is full of a mixture of spirit and water in which there is found to be 17% of spirit by measure. Ten litres are drawn off and the vessel is filled up with water. The proportion of spirit is now found to be 15 1/9%. How much does the vessel hold?
Answer:
Explanation:In 10L of water drawn amount of spirit present is = (17/100)*10 =1.7 L .
x is the capacity of the vessel
from 17% amount of spirit comes down to 15 1/9% .the difference between this percentage is (17% - 15 1/9%) = 17/9 % x
17/9 % x =1.7 litres . from this equation we get the value of x as 90 L
Workspace
MindTree
54. The average age of 12 students is 20 years. If the age of one more student is included, the average decreases by 1, what is the age of the new student?
Answer:
Explanation:Total age of 12 students = 12*20 = 240 (Since average is 20)
After one more student included, average decreases by 1.
It means, Average age of 13 students = 19
Total age of 13 students = 19*13 = 247
Therefore, age of 13th student = 247-240 = 7yrs.
Workspace
MindTree
55. How many 6-digit even numbers can be formed from the digits 1, 2, 3, 4, 5, 6 and 7 so that the digits should not repeat and the second last digit is even?
Answer:
Explanation:let last digit is 2
when second last digit is 4 remaining 4 digits can be filled in 120 ways,similarly is second last digit is 6 remaind 4 digits can be filled in 120 ways,
so for last digit=2,total numbers=240
last digit=4,tot no=240
and last =6,tot no=240
Workspace
MindTree
56. The average age of A and B is 20 years. If C replace A the average would be 19 and if C replaces B the average would be 21. What are the ages of A, B and C?
Answer:
Explanation:A+B/2=20 A+B=40
B+C/2=19 B+C=38
C+A/2=21 C+A=42
BY SUBTRACTING A+B=40 AND B+C=38 WE GET A+B-B-C=40-38 A-C=2
BY ADDING A+C=42 AND A-C=2 WE GET 2A=44 A=22
A+C=42 C=42-22=20 C=20
A+B=40 B=40-22 B=18
A=22,B=18,C=20
Workspace
MindTree
57. There are two sections in a question paper each contain five questions. A student has to answer 6 questions. Maximum no. of questions that can be answered from any section is 4. How many ways he can attempt the paper?
Answer:
Explanation:If the max number from each section is 4 and a total of 6 questions must be answered then the possible ways to answer are:
4 from A and 2 from B
or 2 from A and 4 from B
or 3 from both A and B
Number of ways of choosing 4 from part A AND 2 from part B = 5C4 * 5C2 = 50 ... (AND means multiply)
Number of ways of choosing 2 from part A AND 4 from part B = 5C2 * 5C4 = 50
Number of ways of choosing 3 from part A AND 3 from part B = 5C3 * 5C3 = 100
So total number of ways to answer the paper = 50 + 50 + 100 = 200
Workspace
MindTree HCL Technologies Broadcom Ltd
58. In a cricket, the average of eleven players is 28 years. Out of these, the average ages of three groups of three players each are 25 years, 28 years and 30 years respectively. If in these groups, the captain and the youngest player are not included, and the captain is eleven years older than the youngest player, what is the age of the captain ?
Answer:
Explanation:Here is no explanation for this answer
Workspace
MindTree HCL Technologies Cisco
59. A man's basic pay for a 40 hour week is Rs. 20. Overtime is paid for at 25% above the basic rate. In a crertain week, he worked overtime and his total wage Rs. 25. He, therefore, worked for a total of :
Answer:
Explanation:Here is no explanation for this answer
Workspace
MindTree HCL Technologies Wipro NLTH
60. Let the following circular queue can accommodate maximum six elements with the following data
front = 2 rear = 4
queue = _______; L, M, N, ___, ___
What will happen after ADD O operation takes place?
Answer: front = 2 rear = 5 queue = ______; L, M, N, O, ___
Explanation:Here is no explanation for this answer
Workspace
Societe Generale Capgemini MindTree
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